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math_qa__579CvDl7C43HvGM2 | A man is 20 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is: Choose the most appropriate option:
A) 14 years
B) 18 years
C) 20 years
D) 22 years
E) 16 years | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">20 - 2</gadget>
<output>18</output>
<gadget id="calculator">2 - 1</gadget>
<output>1</output>
<gadget id="calculator">18 / 1</gadget>
<output>18</output>
<result>B</result> | B | 18 | A man is 20 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is: | {
"A": "14 years",
"B": "18 years",
"C": "20 years",
"D": "22 years",
"E": "16 years"
} | divide(subtract(20, subtract(multiply(const_2, const_2), const_2)), subtract(const_2, const_1)) | multiply(const_2,const_2)|subtract(const_2,const_1)|subtract(#0,const_2)|subtract(n0,#2)|divide(#3,#1)| | "let the son ' s present age be x years . then , man ' s present age = ( x + 24 ) years . ( x + 20 ) + 2 = 2 ( x + 2 ) x + 22 = 2 x + 4 x = 18 . answer : b" | general |
math_qa__IaUOhQmza3W5BTGX | In a class, 30 students pass in English and 20 students in Math, while some students among these pass in both. How many more students do only English as compared to those doing only Maths? Pick one
A) 10 B) 15 C) 20 D) 25 E) indeterminate | <gadget id="calculator">30 - 20</gadget>
<output>10</output>
<result>A</result> | A | 10 | In a class, 30 students pass in English and 20 students in Math, while some students among these pass in both. How many more students do only English as compared to those doing only Maths? | {
"A": "10",
"B": "15",
"C": "20",
"D": "25",
"E": "indeterminate"
} | subtract(30, 20) | subtract(n0,n1) | let us consider tht x student are tohse who passed in both english and maths . . . so first we remove x student from both of them therefore , english = 30 - x maths = 20 - x now , number of students more in english = ( 30 - x ) - ( 20 - x ) = 30 - x - 20 + x = 10 answer : a | other |
math_qa__dbWD8BFPT63FXXZj | A metal company's old machine makes bolts at a constant rate of 100 bolts per hour. The company's new machine makes bolts at a constant rate of 150 bolts per hour. If both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make a total of 550 bolts? Select the correct option: A) 36 B) 72 C) 120 D) 132 E) 180 | <gadget id="calculator">100 / 60</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">150 / 60</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">(5/3) + (5/2)</gadget>
<output>25/6 = around 4.166667</output>
<gadget id="calculator">550 / (25/6)</gadget>
<output>132</output>
<result>D</result> | D | 132 | A metal company's old machine makes bolts at a constant rate of 100 bolts per hour. The company's new machine makes bolts at a constant rate of 150 bolts per hour. If both machines start at the same time and continue making bolts simultaneously, how many minutes will it take the two machines to make a total of 550 bolts? | {
"A": "36",
"B": "72",
"C": "120",
"D": "132",
"E": "180"
} | divide(550, add(divide(100, const_60), divide(150, const_60))) | divide(n0,const_60)|divide(n1,const_60)|add(#0,#1)|divide(n2,#2)| | "old machine 100 bolts in 60 mins so , 5 / 3 bolts in 1 min new machine 150 bolts in 60 mins so , 5 / 2 bolts in 1 min together , 5 / 3 + 5 / 2 = 25 / 6 bolts in 1 min so , for 550 bolts 550 * 6 / 25 = 132 mins ans d" | physics |
math_qa__XBDkFJqz1ReugDnn | The length of each side of square A is increased by 100 percent to make square B. If the length of the side of square B is increased by 80 percent to make square C, by what percent is the area of square C greater than the sum of the areas of squares A and B? Answers.
A) 75 % B) 80 % C) 100 % D) 150 % E) 159.2 % | <gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">2 * 80</gadget>
<output>160</output>
<gadget id="calculator">160 / 100</gadget>
<output>8/5 = around 1.6</output>
<gadget id="calculator">2 + (8/5)</gadget>
<output>18/5 = around 3.6</output>
<gadget id="calculator">(18/5) ** 2</gadget>
<output>324/25 = around 12.96</output>
<gadget id="calculator">(324/25) - 1</gadget>
<output>299/25 = around 11.96</output>
<gadget id="calculator">(299/25) - 4</gadget>
<output>199/25 = around 7.96</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">(199/25) / 5</gadget>
<output>199/125 = around 1.592</output>
<gadget id="calculator">(199/125) * 100</gadget>
<output>796/5 = around 159.2</output>
<result>E</result> | E | 159.2 | The length of each side of square A is increased by 100 percent to make square B. If the length of the side of square B is increased by 80 percent to make square C, by what percent is the area of square C greater than the sum of the areas of squares A and B? | {
"A": "75 %",
"B": "80 %",
"C": "100 %",
"D": "150 %",
"E": "159.2 %"
} | multiply(divide(subtract(subtract(square_area(add(add(const_1, divide(100, 100)), divide(multiply(add(const_1, divide(100, 100)), 80), 100))), const_1), const_4), add(const_1, square_area(add(const_1, divide(100, 100))))), 100) | divide(n0,n0)|add(#0,const_1)|multiply(n1,#1)|square_area(#1)|add(#3,const_1)|divide(#2,n0)|add(#1,#5)|square_area(#6)|subtract(#7,const_1)|subtract(#8,const_4)|divide(#9,#4)|multiply(n0,#10)| | "let length of each side of square a be 10 area of a = 10 ^ 2 = 100 since , length of each side of square a is increased by 100 percent to make square b length of each side of square b = 2 * 10 = 20 area of b = 20 ^ 2 = 400 since , length of the side of square b is increased by 80 percent to make square c length of each side of square c = 1.8 * 20 = 36 area of c = 36 ^ 2 = 1296 difference in areas of c and cummulative areas of a and b = 1296 - ( 400 + 100 ) = 796 percent is the area of square c greater than the sum of the areas of squares a and b = ( 796 / 500 ) * 100 % = 159.2 % answer e" | geometry |
math_qa__bgFBReQaKmt5idXE | A corporation that had $10 billion in profits for the year paid out $200 million in employee benefits. Approximately what percent of the profits were the employee benefits? (Note: 1 billion = 10^9) Choose the correct option: A) 50 % B) 20 % C) 5 % D) 2 % E) 0.2 % | <gadget id="calculator">3 + 3</gadget>
<output>6</output>
<gadget id="calculator">10 ** 6</gadget>
<output>1_000_000</output>
<gadget id="calculator">200 * 1_000_000</gadget>
<output>200_000_000</output>
<gadget id="calculator">10 ** 9</gadget>
<output>1_000_000_000</output>
<gadget id="calculator">10 * 1_000_000_000</gadget>
<output>10_000_000_000</output>
<gadget id="calculator">200_000_000 / 10_000_000_000</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">(1/50) * 100</gadget>
<output>2</output>
<result>D</result> | D | 2 | A corporation that had $10 billion in profits for the year paid out $200 million in employee benefits. Approximately what percent of the profits were the employee benefits? (Note: 1 billion = 10^9) | {
"A": "50 %",
"B": "20 %",
"C": "5 %",
"D": "2 %",
"E": "0.2 %"
} | multiply(divide(multiply(200, power(10, add(const_3, const_3))), multiply(10, power(10, 9))), const_100) | add(const_3,const_3)|power(n3,n4)|multiply(n0,#1)|power(n3,#0)|multiply(n1,#3)|divide(#4,#2)|multiply(#5,const_100)| | "required answer = [ employee benefit / profit ] * 100 = [ ( 200 million ) / ( 10 billion ) ] * 100 = [ ( 200 * 10 ^ 6 ) / ( 10 * 10 ^ 9 ) ] * 100 = ( 20 / 1000 ) * 100 = 2 % so answer is ( d )" | general |
math_qa__y9vRYtRt9XlhCTw4 | A reduction in the price of petrol by 10% enables a motorist to buy 5 gallons more for $200. Find the original price of petrol? Choose the most appropriate option:
A) $ 11
B) $ 5
C) $ 45
D) $ 400
E) $ 4.4 | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">(9/10) * 200</gadget>
<output>180</output>
<gadget id="calculator">200 - 180</gadget>
<output>20</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">5 - (1/2)</gadget>
<output>9/2 = around 4.5</output>
<gadget id="calculator">20 / (9/2)</gadget>
<output>40/9 = around 4.444444</output>
<result>E</result> | E | 4.4 | A reduction in the price of petrol by 10% enables a motorist to buy 5 gallons more for $200. Find the original price of petrol? | {
"A": "$ 11",
"B": "$ 5",
"C": "$ 45",
"D": "$ 400",
"E": "$ 4.4"
} | divide(subtract(200, multiply(subtract(const_1, divide(10, const_100)), 200)), subtract(5, divide(const_1, const_2))) | divide(n0,const_100)|divide(const_1,const_2)|subtract(const_1,#0)|subtract(n1,#1)|multiply(n2,#2)|subtract(n2,#4)|divide(#5,#3)| | "price decreased by 10 % , so 9 / 10 times , which means that original gallons bought increased 10 / 9 times . since this increase equals to 5 gallons then 45 gallons were bought originally ( 45 * 10 / 9 = 50 - - > increase 5 gallons ) . hence original price was 200 / 45 = $ 4.4 answer : e ." | gain |
math_qa__uOyEm2KyHjTxvsb8 | A big container is 50% full with water. If 20 liters of water is added, the container becomes 3/4 full. What is the capacity of the big container in liters?
Choose the correct choice from the following answers:
A) 80
B) 90
C) 100
D) 110
E) 120 | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(3/4) - (1/2)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">20 / (1/4)</gadget>
<output>80</output>
<result>A</result> | A | 80 | A big container is 50% full with water. If 20 liters of water is added, the container becomes 3/4 full. What is the capacity of the big container in liters? | {
"A": "80",
"B": "90",
"C": "100",
"D": "110",
"E": "120"
} | divide(20, subtract(divide(3, 4), divide(50, const_100))) | divide(n2,n3)|divide(n0,const_100)|subtract(#0,#1)|divide(n1,#2)| | "20 liters is 25 % of the capacity c . 20 = 0.25 c c = 80 liters . the answer is a ." | general |
math_qa__GSi010CwY7Z6mNMW | A goods train runs at a speed of 72 kmph and crosses a 260 m long platform in 26 seconds.What is the length of the goods train?
Choose the correct choice from the following options: A) 230 m B) 240 m C) 260 m D) 270 m E) 250 m | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">72 * (5/18)</gadget>
<output>20</output>
<gadget id="calculator">20 * 26</gadget>
<output>520</output>
<gadget id="calculator">520 - 260</gadget>
<output>260</output>
<result>C</result> | C | 260 | A goods train runs at a speed of 72 kmph and crosses a 260 m long platform in 26 seconds.What is the length of the goods train? | {
"A": "230 m",
"B": "240 m",
"C": "260 m",
"D": "270 m",
"E": "250 m"
} | subtract(multiply(multiply(72, const_0_2778), 26), 260) | multiply(n0,const_0_2778)|multiply(n2,#0)|subtract(#1,n1) | s = 260 + x / t 72 * 5 / 18 = 260 + x / 26 x = 260 answer : c | physics |
math_qa__rnS85CklZ5zh2ldw | The area of a sector of a circle of radius 5 cm formed by an arc of length 4 cm is? Choose the correct choice from the following: A) 8.78 B) 8.67 C) 8.75 D) 10 E) 8.28 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">5 * 4</gadget>
<output>20</output>
<gadget id="calculator">(1/2) * 20</gadget>
<output>10</output>
<result>D</result> | D | 10 | The area of a sector of a circle of radius 5 cm formed by an arc of length 4 cm is? | {
"A": "8.78",
"B": "8.67",
"C": "8.75",
"D": "10",
"E": "8.28"
} | multiply(divide(const_1, const_2), multiply(5, 4)) | divide(const_1,const_2)|multiply(n0,n1)|multiply(#0,#1)| | "( 5 * 4 ) / 2 = 10 answer : d" | physics |
math_qa__GQNlrFfKuzz4q8Md | If an object travels 200 feet in 2 seconds, what is the object's approximate speed in miles per hour? (Note: 1 mile = 5280 feet) Options.
A) 68 B) 54 C) 21 D) 48 E) 22 | <gadget id="calculator">200 / 5_280</gadget>
<output>5/132 = around 0.037879</output>
<gadget id="calculator">1 / 3_600</gadget>
<output>1/3_600 = around 0.000278</output>
<gadget id="calculator">2 * (1/3_600)</gadget>
<output>1/1_800 = around 0.000556</output>
<gadget id="calculator">(5/132) / (1/1_800)</gadget>
<output>750/11 = around 68.181818</output>
<result>A</result> | A | 68 | If an object travels 200 feet in 2 seconds, what is the object's approximate speed in miles per hour? (Note: 1 mile = 5280 feet) | {
"A": "68",
"B": "54",
"C": "21",
"D": "48",
"E": "22"
} | divide(divide(200, 5280), multiply(2, divide(1, const_3600))) | divide(n0,n3)|divide(n2,const_3600)|multiply(n1,#1)|divide(#0,#2)| | "1 mile = 5280 feet = > 1 feet = 1 / 5280 miles if the object travels 200 feet in 2 sec then it travels 200 / 2 * 60 * 60 feet in 1 hour ( 1 hr = 60 min * 60 sec ) = 3600 * 100 feet in 1 hour = 360000 feet in 1 hr = 360000 / 5280 miles in 1 hour = 36000 / 528 miles / hr ~ 68 miles / hr answer - a" | physics |
math_qa__j4Mxb9jknAD8yAEB | A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 14 white mice in the experiment, how many brown mice are in the experiment? Select:
A) 12 B) 8 C) 28 D) 7 E) 27 | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">14 / (2/3)</gadget>
<output>21</output>
<gadget id="calculator">21 - 14</gadget>
<output>7</output>
<result>D</result> | D | 7 | A certain lab experiments with white and brown mice only. In one experiment, 2/3 of the mice are white. If there are 14 white mice in the experiment, how many brown mice are in the experiment? | {
"A": "12",
"B": "8",
"C": "28",
"D": "7",
"E": "27"
} | subtract(divide(14, divide(2, 3)), 14) | divide(n0,n1)|divide(n2,#0)|subtract(#1,n2) | let total number of mice = m number of white mice = 2 / 3 m = 14 m = 21 number of brown mice = 1 / 3 m = 1 / 3 * 21 = > brown mice = 7 answer d | general |
math_qa__zvaCrDhvNSgOfQpK | A theater box office sold an average (arithmetic mean) of 68 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 80, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members? Choose the correct choice from the following answers:
A) 2 : 3 B) 1 : 4 C) 5 : 6 D) 7 : 11 E) 3 : 7 | <gadget id="calculator">68 - 60</gadget>
<output>8</output>
<gadget id="calculator">80 - 68</gadget>
<output>12</output>
<gadget id="calculator">8 / 12</gadget>
<output>2/3 = around 0.666667</output>
<result>A</result> | A | 0.666667 | A theater box office sold an average (arithmetic mean) of 68 tickets per staff member to a particular movie. Among the daytime staff, the average number sold per member was 80, and among the evening staff, the average number sold was 60. If there are no other employees, what was the ratio of the number of daytime staff members to the number of evening staff members? | {
"A": "2 : 3",
"B": "1 : 4",
"C": "5 : 6",
"D": "7 : 11",
"E": "3 : 7"
} | divide(subtract(68, 60), subtract(80, 68)) | subtract(n0,n2)|subtract(n1,n0)|divide(#0,#1)| | "deviation from the mean for the daytime staff = 80 - 68 = 12 . deviation from the mean for the evening staff = 68 - 60 = 8 . thus , the ratio of the number of daytime staff members to the number of evening staff members is 8 : 12 = 2 : 3 . the answer is a ." | general |
math_qa__QMjotrnaR21RXAql | We had $2800 left after spending 30% of the money that we took for shopping. How much money did we start with? Choose the correct choice from the following: A) $ 3700 B) $ 4000 C) $ 4300 D) $ 4600 E) $ 4900 | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 - (3/10)</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">2_800 / (7/10)</gadget>
<output>4_000</output>
<result>B</result> | B | 4,000 | We had $2800 left after spending 30% of the money that we took for shopping. How much money did we start with? | {
"A": "$ 3700",
"B": "$ 4000",
"C": "$ 4300",
"D": "$ 4600",
"E": "$ 4900"
} | divide(2800, subtract(const_1, divide(30, const_100))) | divide(n1,const_100)|subtract(const_1,#0)|divide(n0,#1)| | "let x be the amount of money we started with . 0.7 x = 2800 x = 4000 the answer is b ." | gain |
math_qa__ZHJn62MNcJxRrK5C | ? x 48 = 173 x 240 Choose the most appropriate option.
A) 545
B) 685
C) 865
D) 495
E) 534 | <gadget id="calculator">173 * 240</gadget>
<output>41_520</output>
<gadget id="calculator">41_520 / 48</gadget>
<output>865</output>
<result>C</result> | C | 865 | ? x 48 = 173 x 240 | {
"A": "545",
"B": "685",
"C": "865",
"D": "495",
"E": "534"
} | divide(multiply(173, 240), 48) | multiply(n1,n2)|divide(#0,n0)| | "let y x 48 = 173 x 240 then y = ( 173 x 240 ) / 48 = 173 x 5 = 865 . answer : c" | general |
math_qa__jHFo4jqkpHAzuXL0 | The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle?
Choose the correct choice from the following choices:
A) 1 : 96 B) 1 : 99 C) 1 : 95 D) 1 : 12 E) 1 : 11 | <gadget id="calculator">6_912 / 3</gadget>
<output>2_304</output>
<gadget id="calculator">4 * 2_304</gadget>
<output>9_216</output>
<gadget id="calculator">9_216 ** (1/2)</gadget>
<output>96</output>
<gadget id="calculator">96 / 4</gadget>
<output>24</output>
<gadget id="calculator">24 * 3</gadget>
<output>72</output>
<gadget id="calculator">72 / 6_912</gadget>
<output>1/96 = around 0.010417</output>
<result>A</result> | A | 0.010417 | The ratio of the length and the breadth of a rectangle is 4 : 3 and the area of the rectangle is 6912 sq cm. Find the ratio of the breadth and the area of the rectangle? | {
"A": "1 : 96",
"B": "1 : 99",
"C": "1 : 95",
"D": "1 : 12",
"E": "1 : 11"
} | divide(multiply(divide(sqrt(multiply(4, divide(6912, 3))), 4), const_3), 6912) | divide(n2,n1)|multiply(n0,#0)|sqrt(#1)|divide(#2,n0)|multiply(#3,const_3)|divide(#4,n2) | let the length and the breadth of the rectangle be 4 x cm and 3 x respectively . ( 4 x ) ( 3 x ) = 6912 12 x 2 = 6912 x 2 = 576 = 4 * 144 = 22 * 122 ( x > 0 ) = > x = 2 * 12 = 24 ratio of the breadth and the areas = 3 x : 12 x 2 = 1 : 4 x = 1 : 96 . answer : a | geometry |
math_qa__KcFVPGXGc5TqLZIU | After an ice began to melt out from the freezer, in the first hour lost 3/4, in the second hour lost 3/4 of its remaining. If after two hours, the volume is 0.25 cubic inches, what is the original volume of the cubic ice, in cubic inches?
Choose the most appropriate option
A) 2.5 B) 3.0 C) 4.0 D) 6.5 E) 8.0 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">0.25 / (1/4)</gadget>
<output>1</output>
<gadget id="calculator">1 / (1/4)</gadget>
<output>4</output>
<result>C</result> | C | 4 | After an ice began to melt out from the freezer, in the first hour lost 3/4, in the second hour lost 3/4 of its remaining. If after two hours, the volume is 0.25 cubic inches, what is the original volume of the cubic ice, in cubic inches? | {
"A": "2.5",
"B": "3.0",
"C": "4.0",
"D": "6.5",
"E": "8.0"
} | divide(divide(0.25, const_0_25), const_0_25) | divide(n4,const_0_25)|divide(#0,const_0_25)| | "let initial volume of ice be = x ice remaining after 1 hour = x - 0.75 x = 0.25 x ice remaining after 2 hour = ( 1 / 4 ) x - ( 3 / 4 * 1 / 4 * x ) = ( 1 / 16 ) x ( 1 / 16 ) x = 0.25 x = 4 alternate solution : try to backsolve . initial volume = 4 after one hour - - > ( 1 / 4 ) 4 = 1 after two hours - - > ( 1 / 4 ) 1 = 0.25 answer : c" | physics |
math_qa__pF7mI791KcTWFv6f | log3 N+log6 N what is 3 digit number N that will be whole number
Pick one:
A) 629 B) 729 C) 829 D) 929 E) 216 | <gadget id="calculator">6 ** 3</gadget>
<output>216</output>
<result>E</result> | E | 216 | log3 N+log6 N what is 3 digit number N that will be whole number | {
"A": "629",
"B": "729",
"C": "829",
"D": "929",
"E": "216"
} | power(6, 3) | power(n1,n0)| | "no of values n can take is 1 6 ^ 3 = 216 answer : e" | other |
math_qa__Hwgz5eCglensb3I6 | Of the total amount that Rose spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Rose paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes? Choose the correct choice.
A) 2.8 % B) 4.4 % C) 4.6 % D) 5.2 % E) 6.0 % | <gadget id="calculator">4 / 100</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">(1/25) * 50</gadget>
<output>2</output>
<gadget id="calculator">8 / 100</gadget>
<output>2/25 = around 0.08</output>
<gadget id="calculator">(2/25) * 30</gadget>
<output>12/5 = around 2.4</output>
<gadget id="calculator">2 + (12/5)</gadget>
<output>22/5 = around 4.4</output>
<result>B</result> | B | 4.4 | Of the total amount that Rose spent on a shopping trip, excluding taxes, she spent 50 percent on clothing, 20 percent on food, and 30 percent on other items. If Rose paid a 4 percent tax on the clothing, no tax on the food, and an 8 percent tax on all other items, then the total tax that she paid was what percent of the total amount that she spent, excluding taxes? | {
"A": "2.8 %",
"B": "4.4 %",
"C": "4.6 %",
"D": "5.2 %",
"E": "6.0 %"
} | add(multiply(divide(4, const_100), 50), multiply(divide(8, const_100), 30)) | divide(n3,const_100)|divide(n4,const_100)|multiply(n0,#0)|multiply(n2,#1)|add(#2,#3) | assume she has $ 200 to spend . tax clothing = 50 % = $ 100 = $ 4.00 food = 20 % = $ 40 = $ 0.00 items = 30 % = $ 60 = $ 4.80 total tax = $ 8.80 % of total amount = 8.8 / 200 * 100 = 4.4 % b ) | general |
math_qa__Q1KdqwoKhgu8A43J | 33 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be : Pick one
A) 84 m B) 88 m C) 42 m D) 137 m E) none | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) ** 2</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * pi</gadget>
<output>pi/4 = around 0.785398</output>
<gadget id="calculator">33 / (pi/4)</gadget>
<output>132/pi = around 42.016905</output>
<result>C</result> | C | 42 | 33 cubic centimetres of silver is drawn into a wire 1 mm in diameter. The length of the wire in metres will be : | {
"A": "84 m",
"B": "88 m",
"C": "42 m",
"D": "137 m",
"E": "none"
} | divide(33, multiply(power(divide(1, const_2), const_2), const_pi)) | divide(n1,const_2)|power(#0,const_2)|multiply(#1,const_pi)|divide(n0,#2)| | "sol . let the length of the wire b h . radius = 1 / 2 mm = 1 / 20 cm . then , 22 / 7 * 1 / 20 * 1 / 20 * h = 33 ⇔ = [ 33 * 20 * 20 * 7 / 22 ] = 4200 cm = 42 m . answer c" | physics |
math_qa__HnIFscIt8SjYrOhD | in a certain game of dice , the player ’ s score is determined as a sum of 3 throws of a single die . the player with the highest score wins the round . if more than one player has the highest score , the winnings of the round are divided equally among these players . if john plays this game against 22 other players , what is the probability of the minimum score that will guarantee john some monetary payoff ?
Pick one:
A) 41 / 50
B) 1 / 216
C) 1 / 221
D) 1 / 84
E) 1 / 42 | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) ** 3</gadget>
<output>1/216 = around 0.00463</output>
<result>B</result> | B | 0.00463 | in a certain game of dice , the player ’ s score is determined as a sum of 3 throws of a single die . the player with the highest score wins the round . if more than one player has the highest score , the winnings of the round are divided equally among these players . if john plays this game against 22 other players , what is the probability of the minimum score that will guarantee john some monetary payoff ? | {
"A": "41 / 50",
"B": "1 / 216",
"C": "1 / 221",
"D": "1 / 84",
"E": "1 / 42"
} | power(divide(const_1, multiply(3, const_2)), 3) | multiply(n0,const_2)|divide(const_1,#0)|power(#1,n0) | to guarantee that john will get some monetary payoff he must score the maximum score of 6 + 6 + 6 = 18 , because if he gets even one less than that so 17 , someone can get 18 and john will get nothing . p ( 18 ) = 1 / 6 ^ 3 = 1 / 216 . answer : b . | general |
math_qa__nkWvzBlrjj0W3SOC | If the product of the integers w, x, y and z is 68, and if 0< w < x < y < z, what is the value of w + z? Choose the correct option
A) 10 B) 5 C) 16 D) 18 E) 21 | <gadget id="calculator">68 / 2</gadget>
<output>34</output>
<gadget id="calculator">34 / 2</gadget>
<output>17</output>
<gadget id="calculator">17 - 1</gadget>
<output>16</output>
<gadget id="calculator">16 - 1</gadget>
<output>15</output>
<gadget id="calculator">15 - 1</gadget>
<output>14</output>
<gadget id="calculator">14 - 1</gadget>
<output>13</output>
<gadget id="calculator">13 - 1</gadget>
<output>12</output>
<gadget id="calculator">12 - 1</gadget>
<output>11</output>
<gadget id="calculator">11 - 1</gadget>
<output>10</output>
<gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">9 - 1</gadget>
<output>8</output>
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">7 - 1</gadget>
<output>6</output>
<gadget id="calculator">6 - 1</gadget>
<output>5</output>
<result>B</result> | B | 5 | If the product of the integers w, x, y and z is 68, and if 0< w < x < y < z, what is the value of w + z? | {
"A": "10",
"B": "5",
"C": "16",
"D": "18",
"E": "21"
} | subtract(subtract(subtract(subtract(subtract(subtract(subtract(subtract(subtract(subtract(subtract(subtract(divide(divide(68, const_2), const_2), const_1), const_1), const_1), const_1), const_1), const_1), const_1), const_1), const_1), const_1), const_1), const_1) | divide(n0,const_2)|divide(#0,const_2)|subtract(#1,const_1)|subtract(#2,const_1)|subtract(#3,const_1)|subtract(#4,const_1)|subtract(#5,const_1)|subtract(#6,const_1)|subtract(#7,const_1)|subtract(#8,const_1)|subtract(#9,const_1)|subtract(#10,const_1)|subtract(#11,const_1)|subtract(#12,const_1) | 24 = 1 * 2 * 3 * 4 so w = 1 , x = 2 , y = 3 , z = 4 w + z = 1 + 4 = 5 answer - b | general |
math_qa__F0nYN54ESYL1TK9V | What is the least number which when divided by 5, 6, 9 and 18 leaves remainder 4 in each care? Choose the correct choice from the following choices
A) 30 B) 44 C) 36 D) 56 E) 94 | <gadget id="calculator">lcm(5, 6)</gadget>
<output>30</output>
<gadget id="calculator">lcm(9, 18)</gadget>
<output>18</output>
<gadget id="calculator">lcm(30, 18)</gadget>
<output>90</output>
<gadget id="calculator">90 + 4</gadget>
<output>94</output>
<result>E</result> | E | 94 | What is the least number which when divided by 5, 6, 9 and 18 leaves remainder 4 in each care? | {
"A": "30",
"B": "44",
"C": "36",
"D": "56",
"E": "94"
} | add(lcm(lcm(5, 6), lcm(9, 18)), 4) | lcm(n0,n1)|lcm(n2,n3)|lcm(#0,#1)|add(n4,#2)| | "explanation : lcm of 5 , 6 , 9 and 18 is 90 required number = 90 + 4 = 94 answer : option e" | general |
math_qa__OY1sV5hXD9aBg1Or | The speed of a railway engine is 63 Km per hour when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. If the speed of the train carried by this engine is 24 Km per hour when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is: Select the correct option.
A) 19 B) 18 C) 16 D) 17 E) 23 | <gadget id="calculator">63 - 24</gadget>
<output>39</output>
<gadget id="calculator">9 ** (1/2)</gadget>
<output>3</output>
<gadget id="calculator">39 / 3</gadget>
<output>13</output>
<gadget id="calculator">63 / 13</gadget>
<output>63/13 = around 4.846154</output>
<gadget id="calculator">(63/13) ** 2</gadget>
<output>3_969/169 = around 23.485207</output>
<result>E</result> | E | 23 | The speed of a railway engine is 63 Km per hour when no compartment is attached, and the reduction in speed is directly proportional to the square root of the number of compartments attached. If the speed of the train carried by this engine is 24 Km per hour when 9 compartments are attached, the maximum number of compartments that can be carried by the engine is: | {
"A": "19",
"B": "18",
"C": "16",
"D": "17",
"E": "23"
} | power(divide(63, divide(subtract(63, 24), sqrt(9))), const_2) | sqrt(n2)|subtract(n0,n1)|divide(#1,#0)|divide(n0,#2)|power(#3,const_2) | the reduction in speed is directly proportional to the square root of the number of compartments attached does reduction mean amount subtracted ? or percentage decrease ? there are at least two interpretations , and the wording does not provide a clear interpretation between them . evidently what the question intends is the subtraction interpretation . what is subtracted from the speed is directly proportional to the square root of the number of compartments attached . in other words , if s = speed , and n = number of compartments , then s = 63 - k * sqrt ( n ) where k is a constant of the proportionality . in general , if a is directly proportional to b , we can write a = k * b and solve for k . if n = 9 , then s = 24 24 = 63 - k * sqrt ( 9 ) = 63 - 3 k k = 13 now , we need to know : what value of n makes s go to zero ? 0 = 63 - 13 * sqrt ( n ) 13 * sqrt ( n ) = 63 n = 23 with 24 compartments , the train does not budge . therefore , it would budge if there were one fewer cars . thus , 23 is the maximum number of cars the engine can pull and still move . e | physics |
math_qa__3I8eYD0fQwlC1aAn | In a class of 79 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course? Choose the correct choice.
A) 6
B) 15
C) 25
D) 33
E) 54 | <gadget id="calculator">41 + 22</gadget>
<output>63</output>
<gadget id="calculator">63 - 9</gadget>
<output>54</output>
<gadget id="calculator">79 - 54</gadget>
<output>25</output>
<result>C</result> | C | 25 | In a class of 79 students 41 are taking French, 22 are taking German. Of the students taking French or German, 9 are taking both courses. How many students are not enrolled in either course? | {
"A": "6",
"B": "15",
"C": "25",
"D": "33",
"E": "54"
} | subtract(79, subtract(add(41, 22), 9)) | add(n1,n2)|subtract(#0,n3)|subtract(n0,#1)| | "formula for calculating two overlapping sets : a + b - both + not ( a or b ) = total so in our task we have equation : 41 ( french ) + 22 ( german ) - 9 ( both ) + not = 79 54 + not = 79 not = 79 - 54 = 25 so answer is c" | other |
math_qa__eVUTnrNAMtESExA6 | A train traveled the first d miles of its journey it an average speed of 60 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. If the train’s average speed over the total distance was 98 miles per hour, what is the value of y? Answers:
A) 68 B) 84 C) 90 D) 120 E) 125 | <gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">8 * 10</gadget>
<output>80</output>
<gadget id="calculator">100 * 4</gadget>
<output>400</output>
<gadget id="calculator">80 + 400</gadget>
<output>480</output>
<gadget id="calculator">480 * 3</gadget>
<output>1_440</output>
<gadget id="calculator">1_440 / 98</gadget>
<output>720/49 = around 14.693878</output>
<gadget id="calculator">8 + 3</gadget>
<output>11</output>
<gadget id="calculator">(720/49) - 11</gadget>
<output>181/49 = around 3.693878</output>
<gadget id="calculator">480 / (181/49)</gadget>
<output>23_520/181 = around 129.944751</output>
<result>E</result> | E | 125 | A train traveled the first d miles of its journey it an average speed of 60 miles per hour, the next d miles of its journey at an average speed of y miles per hour, and the final d miles of its journey at an average speed of 160 miles per hour. If the train’s average speed over the total distance was 98 miles per hour, what is the value of y? | {
"A": "68",
"B": "84",
"C": "90",
"D": "120",
"E": "125"
} | divide(add(multiply(multiply(const_4, const_2), const_10), multiply(const_100, const_4)), subtract(divide(multiply(add(multiply(multiply(const_4, const_2), const_10), multiply(const_100, const_4)), const_3), 98), add(multiply(const_4, const_2), const_3))) | multiply(const_2,const_4)|multiply(const_100,const_4)|add(#0,const_3)|multiply(#0,const_10)|add(#3,#1)|multiply(#4,const_3)|divide(#5,n2)|subtract(#6,#2)|divide(#4,#7) | average speed = total distance traveled / total time taken 3 d / d / 60 + d / y + d / 160 = 98 solving for d and y , 15 y = 11 y + 480 4 y = 500 y = 125 answer e | physics |
math_qa__MFuk3UiwVAFWAiiN | A vessel of capacity 2 litre has 35% of alcohol and another vessel of capacity 6 litre had 50% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture? Pick one: A) 31 % . B) 71 % . C) 49 % . D) 29 % . E) 37 % . | <gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">(7/20) * 2</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 6</gadget>
<output>3</output>
<gadget id="calculator">(7/10) + 3</gadget>
<output>37/10 = around 3.7</output>
<gadget id="calculator">(37/10) / 10</gadget>
<output>37/100 = around 0.37</output>
<gadget id="calculator">(37/100) * 100</gadget>
<output>37</output>
<result>E</result> | E | 37 | A vessel of capacity 2 litre has 35% of alcohol and another vessel of capacity 6 litre had 50% alcohol. The total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water. What is the new concentration of Mixture? | {
"A": "31 % .",
"B": "71 % .",
"C": "49 % .",
"D": "29 % .",
"E": "37 % ."
} | multiply(divide(add(multiply(divide(35, const_100), 2), multiply(divide(50, const_100), 6)), 10), const_100) | divide(n1,const_100)|divide(n3,const_100)|multiply(n0,#0)|multiply(n2,#1)|add(#2,#3)|divide(#4,n5)|multiply(#5,const_100)| | "35 % of 2 litres = 0.7 litres 50 % of 6 litres = 3 litres therefore , total quantity of alcohol is 3.7 litres . this mixture is in a 10 litre vessel . hence , the concentration of alcohol in this 10 litre vessel is 37 % e" | general |
math_qa__bSGeUS63Q0pD46VQ | find the unknown term 8 , x , 62 , - 4 , - 12 Choose the correct choice from the following options:
A) 2 B) 4 C) 6 D) 8 E) 9 | <gadget id="calculator">62 + 2</gadget>
<output>64</output>
<gadget id="calculator">64 / 8</gadget>
<output>8</output>
<result>D</result> | D | 8 | find the unknown term 8 , x , 62 , - 4 , - 12 | {
"A": "2",
"B": "4",
"C": "6",
"D": "8",
"E": "9"
} | divide(add(62, const_2), 8) | add(n1,const_2)|divide(#0,n0) | 8 , x , 6,2 , - 4 , - 12 i guess each differ in d range of 2 8 - 8 = 0 8 - 6 = 2 6 - 2 = 4 2 - 6 = - 4 - 4 - 8 = - 12 answer : d | general |
math_qa__IExX4BVrNUAdeiR6 | What is the local value of 6 in the product of face value of 7 and local value of 8 in 7098060
Choose the correct choice from the following
A) 60 B) 600 C) 6000 D) 60000 E) 6 | <gadget id="calculator">7_098_060 % 1_000</gadget>
<output>60</output>
<gadget id="calculator">7_098_060 - 60</gadget>
<output>7_098_000</output>
<gadget id="calculator">10 * 1_000</gadget>
<output>10_000</output>
<gadget id="calculator">7_098_000 % 10_000</gadget>
<output>8_000</output>
<gadget id="calculator">8_000 * 7</gadget>
<output>56_000</output>
<gadget id="calculator">56_000 % 10_000</gadget>
<output>6_000</output>
<result>C</result> | C | 6,000 | What is the local value of 6 in the product of face value of 7 and local value of 8 in 7098060 | {
"A": "60",
"B": "600",
"C": "6000",
"D": "60000",
"E": "6"
} | reminder(multiply(reminder(subtract(7098060, reminder(7098060, const_1000)), multiply(const_10, const_1000)), 7), multiply(const_10, const_1000)) | multiply(const_10,const_1000)|reminder(n3,const_1000)|subtract(n3,#1)|reminder(#2,#0)|multiply(n1,#3)|reminder(#4,#0) | ( face value of 7 ) x ( local value of 8 ) = 7 x 8000 = 56000 local value of 6 in 56000 = 6000 c | general |
math_qa__345rRsMbasVkECiC | A cricket bat is sold for $850, making a profit of $205. The profit percentage would be Choose the correct choice from the following answers:
A) 24 % B) 25 % C) 32 % D) 36 % E) 40 % | <gadget id="calculator">850 - 205</gadget>
<output>645</output>
<gadget id="calculator">205 / 645</gadget>
<output>41/129 = around 0.317829</output>
<gadget id="calculator">(41/129) * 100</gadget>
<output>4_100/129 = around 31.782946</output>
<result>C</result> | C | 32 | A cricket bat is sold for $850, making a profit of $205. The profit percentage would be | {
"A": "24 %",
"B": "25 %",
"C": "32 %",
"D": "36 %",
"E": "40 %"
} | multiply(divide(205, subtract(850, 205)), const_100) | subtract(n0,n1)|divide(n1,#0)|multiply(#1,const_100)| | "205 / ( 850 - 205 ) = 205 / 645 = 41 / 129 = 32 % . answer : c ." | gain |
math_qa__e1m4ASCBowKZZgWx | What is the unit digit in 12^100? Choose the correct option.
A) 0
B) 1
C) 2
D) 4
E) 6 | <gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">16 % 10</gadget>
<output>6</output>
<result>E</result> | E | 6 | What is the unit digit in 12^100? | {
"A": "0",
"B": "1",
"C": "2",
"D": "4",
"E": "6"
} | reminder(power(const_4.0, const_2), const_10) | power(const_4.0,const_2)|reminder(#0,const_10)| | unit digit in 12 ^ 100 = unit digit in [ ( 12 ^ 4 ) ^ 25 ] but unit digit in 12 ^ 4 = 6 unit digit 12 ^ 100 = 6 answer is e | general |
math_qa__CJqvVXcCZcs7ssDs | For the symbol, m”n=n^2−m for all values of m and n. What is the value of 4”3? Choose the correct option.
A) 5 B) 3 C) 2 D) 1 E) 0 | <gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">9 - 4</gadget>
<output>5</output>
<result>A</result> | A | 5 | For the symbol, m”n=n^2−m for all values of m and n. What is the value of 4”3? | {
"A": "5",
"B": "3",
"C": "2",
"D": "1",
"E": "0"
} | subtract(power(3, 2), 4) | power(n2,n0)|subtract(#0,n1)| | "4 ” 3 = 9 - 4 = 5 answer : a" | general |
math_qa__iGQcYAQsFjC4skOk | A man buys an article for $10. and sells it for $25. Find the gain percent? Choose the correct choice from the following options: A) 25 % B) 50 % C) 20 % D) 150 % E) 300 % | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">25 / (1/10)</gadget>
<output>250</output>
<gadget id="calculator">250 - 100</gadget>
<output>150</output>
<result>D</result> | D | 150 | A man buys an article for $10. and sells it for $25. Find the gain percent? | {
"A": "25 %",
"B": "50 %",
"C": "20 %",
"D": "150 %",
"E": "300 %"
} | subtract(divide(25, divide(10, const_100)), const_100) | divide(n0,const_100)|divide(n1,#0)|subtract(#1,const_100)| | "c . p . = $ 10 s . p . = $ 25 gain = $ 15 gain % = 15 / 10 * 100 = 150 % answer is d" | gain |
math_qa__R6XIPOR5qVDDafIl | A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work? Select
A) 28 days B) 76 days C) 16 days D) 18 days E) 19 days | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">2 * (1/12)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 - (1/6)</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">(1/8) * (5/6)</gadget>
<output>5/48 = around 0.104167</output>
<gadget id="calculator">(5/48) - (1/12)</gadget>
<output>1/48 = around 0.020833</output>
<gadget id="calculator">1 / (1/48)</gadget>
<output>48</output>
<gadget id="calculator">12 + 8</gadget>
<output>20</output>
<gadget id="calculator">48 - 20</gadget>
<output>28</output>
<result>A</result> | A | 28 | A can do a piece of work in 12 days. When he had worked for 2 days B joins him. If the complete work was finished in 8 days. In how many days B alone can finish the work? | {
"A": "28 days",
"B": "76 days",
"C": "16 days",
"D": "18 days",
"E": "19 days"
} | subtract(inverse(subtract(multiply(divide(const_1, 8), subtract(const_1, multiply(2, divide(const_1, 12)))), divide(const_1, 12))), add(12, 8)) | add(n0,n2)|divide(const_1,n2)|divide(const_1,n0)|multiply(n1,#2)|subtract(const_1,#3)|multiply(#1,#4)|subtract(#5,#2)|inverse(#6)|subtract(#7,#0) | 8 / 12 + 6 / x = 1 x = 18 days answer : a | physics |
math_qa__jnkSRkGwxqlBboRb | If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 38 Choose the correct choice from the following options: A) 1 B) 3 C) 5 D) 7 E) 8 | <gadget id="calculator">432 * 44</gadget>
<output>19_008</output>
<gadget id="calculator">19_008 % 38</gadget>
<output>8</output>
<result>E</result> | E | 8 | If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 38 | {
"A": "1",
"B": "3",
"C": "5",
"D": "7",
"E": "8"
} | reminder(multiply(432, 44), 38) | multiply(n0,n1)|reminder(#0,n3)| | "p ã · 44 = 432 = > p = 432 * 44 = 19008 p / 38 = 19008 / 38 = 500 , remainder = 8 e" | general |
math_qa__AKJxWNQ5BN0jj3RJ | X can finish a work in 30 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work? Choose the correct choice:
A) 3
B) 10
C) 6
D) 8
E) 9 | <gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">10 * (1/15)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 - (2/3)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">(1/3) / (1/30)</gadget>
<output>10</output>
<result>B</result> | B | 10 | X can finish a work in 30 days. Y can finish the same work in 15 days. Yworked for 10 days and left the job. how many days does X alone need to finish the remaining work? | {
"A": "3",
"B": "10",
"C": "6",
"D": "8",
"E": "9"
} | divide(subtract(const_1, multiply(10, divide(const_1, 15))), divide(const_1, 30)) | divide(const_1,n1)|divide(const_1,n0)|multiply(n2,#0)|subtract(const_1,#2)|divide(#3,#1)| | "work done by x in 1 day = 1 / 30 work done by y in 1 day = 1 / 15 work done by y in 10 days = 10 / 15 = 2 / 3 remaining work = 1 – 2 / 3 = 1 / 3 number of days in which x can finish the remaining work = ( 1 / 3 ) / ( 1 / 30 ) = 10 b" | physics |
math_qa__6M4UmkRGZP8YRoLE | A is thrice as good a work man as B and together they finish a piece of work in 12 days.The number of days taken by A alone to finish the work is : Select the correct option.
A) 28 days . B) 14 days . C) 12 days . D) 16 days . E) 18 days . | <gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">12 / 3</gadget>
<output>4</output>
<gadget id="calculator">4 * 4</gadget>
<output>16</output>
<result>D</result> | D | 16 | A is thrice as good a work man as B and together they finish a piece of work in 12 days.The number of days taken by A alone to finish the work is : | {
"A": "28 days .",
"B": "14 days .",
"C": "12 days .",
"D": "16 days .",
"E": "18 days ."
} | multiply(add(const_3, const_1), divide(12, const_3)) | add(const_1,const_3)|divide(n0,const_3)|multiply(#0,#1) | solution ( a ’ s 1 day ’ s work ) : ( b ’ s 1 day ’ s work ) = 3 : 1 . ( a + b ) ' s 1 day ’ s work = 1 / 12 divide 1 / 14 in the ratio 3 : 1 . ∴ a ’ s 1 day ’ s work = ( 1 / 12 x 2 / 3 ) = 1 / 16 hence , a alone can finish the work in 16 days . answer d | physics |
math_qa__A2C8Y5ItV2GgMgDe | 300 first-time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 55% of the customers that had purchased clothes for less than $100 reported they were overall satisfied with their purchase. What percent of the customers surveyed purchased clothes for at least $100 and reported that they were NOT overall satisfied with their purchase? Pick:
A) 7
B) 25
C) 35
D) 45
E) 75 | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 300</gadget>
<output>120</output>
<gadget id="calculator">55 / 100</gadget>
<output>11/20 = around 0.55</output>
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">300 * (3/5)</gadget>
<output>180</output>
<gadget id="calculator">(11/20) * 180</gadget>
<output>99</output>
<gadget id="calculator">120 - 99</gadget>
<output>21</output>
<gadget id="calculator">21 / 300</gadget>
<output>7/100 = around 0.07</output>
<gadget id="calculator">(7/100) * 100</gadget>
<output>7</output>
<result>A</result> | A | 7 | 300 first-time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 55% of the customers that had purchased clothes for less than $100 reported they were overall satisfied with their purchase. What percent of the customers surveyed purchased clothes for at least $100 and reported that they were NOT overall satisfied with their purchase? | {
"A": "7",
"B": "25",
"C": "35",
"D": "45",
"E": "75"
} | multiply(divide(subtract(multiply(divide(40, 100), 300), multiply(divide(55, 100), multiply(300, divide(60, 100)))), 300), 100) | divide(n3,n2)|divide(n4,n2)|divide(n1,n2)|multiply(n0,#0)|multiply(n0,#2)|multiply(#1,#4)|subtract(#3,#5)|divide(#6,n0)|multiply(#7,n2)| | "out of 300 - 180 purchased for less than 100 $ 120 for more out of 300 - 120 responded as satisfied and 180 responded disatisfied out of 180 ( purchased less than 100 $ ) - 55 % = 99 responded as satisfied , so remaining satisfied are 120 - 99 = 21 so 21 is what percentage of 300 - 7 % so the answer should be a" | general |
math_qa__DoE3iHlynACguimD | The average age of 9 men increases by 4 years when two women are included in place of two men of ages 36 and 32 years. Find the average age of the women? Choose the correct answer.
A) 78
B) 26
C) 52
D) 54
E) 56 | <gadget id="calculator">36 + 32</gadget>
<output>68</output>
<gadget id="calculator">9 * 4</gadget>
<output>36</output>
<gadget id="calculator">68 + 36</gadget>
<output>104</output>
<gadget id="calculator">104 / 2</gadget>
<output>52</output>
<result>C</result> | C | 52 | The average age of 9 men increases by 4 years when two women are included in place of two men of ages 36 and 32 years. Find the average age of the women? | {
"A": "78",
"B": "26",
"C": "52",
"D": "54",
"E": "56"
} | divide(add(add(36, 32), multiply(9, 4)), const_2) | add(n2,n3)|multiply(n0,n1)|add(#0,#1)|divide(#2,const_2)| | "explanation : 36 + 32 + 9 * 4 = 104 / 2 = 52 answer : c" | general |
math_qa__OrPHTOuN2uytfS96 | Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 30 percent was planted with soybeans and 60 percent of the cleared land was planted with wheat. If the remaining 540 acres of cleared land was planted with corn, how many acres did the farmer own? Choose the correct choice from the following choices
A) 7200 B) 6000 C) 3500 D) 5000 E) 6200 | <gadget id="calculator">100 - 30</gadget>
<output>70</output>
<gadget id="calculator">70 - 60</gadget>
<output>10</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">(1/10) * (9/10)</gadget>
<output>9/100 = around 0.09</output>
<gadget id="calculator">540 / (9/100)</gadget>
<output>6_000</output>
<result>B</result> | B | 6,000 | Of the land owned by a farmer, 90 percent was cleared for planting. Of the cleared land, 30 percent was planted with soybeans and 60 percent of the cleared land was planted with wheat. If the remaining 540 acres of cleared land was planted with corn, how many acres did the farmer own? | {
"A": "7200",
"B": "6000",
"C": "3500",
"D": "5000",
"E": "6200"
} | divide(540, multiply(divide(subtract(subtract(const_100, 30), 60), const_100), divide(90, const_100))) | divide(n0,const_100)|subtract(const_100,n1)|subtract(#1,n2)|divide(#2,const_100)|multiply(#3,#0)|divide(n3,#4)| | 30 % od 90 % = 27 % , 60 % 0 f 90 % = 54 % so the remaining 90 - 27 - 54 = 9 % = 540 acres or 10 % of 90 % = 9 % - - > 540 / 9 * 100 = 6000 acres answer ( b ) | gain |
math_qa__RsL3D375DNHJ3UR8 | Three unbiased coins are tossed. What is the probability of getting at most two heads?
Choose the correct choice from the following answers.
A) 3 / 4 B) 1 / 4 C) 3 / 8 D) 7 / 8 E) none of these | <gadget id="calculator">2 ** 3</gadget>
<output>8</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 - (1/8)</gadget>
<output>7/8 = around 0.875</output>
<result>D</result> | D | 0.875 | Three unbiased coins are tossed. What is the probability of getting at most two heads? | {
"A": "3 / 4",
"B": "1 / 4",
"C": "3 / 8",
"D": "7 / 8",
"E": "none of these"
} | negate_prob(divide(const_1, power(const_2, const_3))) | power(const_2,const_3)|divide(const_1,#0)|negate_prob(#1) | explanation : here s = { ttt , tth , tht , htt , thh , hth , hht , hhh } let e = event of getting at most two heads . then e = { ttt , tth , tht , htt , thh , hth , hht } . p ( e ) = n ( e ) / n ( s ) = 7 / 8 . answer is d | probability |
math_qa__Zvi952m8rlru7cpc | There are 59 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there? Select the correct option:
A) 2
B) 4
C) 8
D) 29
E) 32 | <gadget id="calculator">15 + 10</gadget>
<output>25</output>
<gadget id="calculator">25 + 5</gadget>
<output>30</output>
<gadget id="calculator">30 + 3</gadget>
<output>33</output>
<gadget id="calculator">59 - 33</gadget>
<output>26</output>
<gadget id="calculator">26 + 3</gadget>
<output>29</output>
<result>D</result> | D | 29 | There are 59 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there? | {
"A": "2",
"B": "4",
"C": "8",
"D": "29",
"E": "32"
} | add(subtract(59, add(add(add(15, 10), 5), 3)), 3) | add(n1,n2)|add(n3,#0)|add(n4,#1)|subtract(n0,#2)|add(n4,#3)| | "lets assign variables to all the areas in venn diagram of three . three different units are dog , cat , snake = total = 59 only dog = d = 15 only cat = c = 10 only snake = s exactly dog and cat = 5 exactly dog and snake = x exactly cat and snake = y all three = 3 so 59 = 15 + 10 + 5 + 3 + x + y + s we need to know total snakes = x + y + s + 3 = 29 answer : d" | general |
math_qa__kh4BXQRxRXMsE9yr | A sum of salary is distributed among A,B,C,D in the proportion of 2:3:4:6. If D gets $700 more than C, what is the B's share? Choices:
A) $ 1050 B) $ 2500 C) $ 3000 D) $ 3400 E) $ 8000 | <gadget id="calculator">6 - 4</gadget>
<output>2</output>
<gadget id="calculator">700 / 2</gadget>
<output>350</output>
<gadget id="calculator">3 * 350</gadget>
<output>1_050</output>
<result>A</result> | A | 1,050 | A sum of salary is distributed among A,B,C,D in the proportion of 2:3:4:6. If D gets $700 more than C, what is the B's share? | {
"A": "$ 1050",
"B": "$ 2500",
"C": "$ 3000",
"D": "$ 3400",
"E": "$ 8000"
} | multiply(3, divide(700, subtract(6, 4))) | subtract(n3,n2)|divide(n4,#0)|multiply(n1,#1) | let the shares of a , b , c , d are 2 x , 3 x , 4 x , 6 x 6 x - 4 x = 700 x = 350 b ' s share = 3 x = $ 1050 answer is a | general |
math_qa__Ua7xSilWwQmCaLow | The tax on a commodity is diminished by 27% and its consumption increased by 16%. The effect on revenue is? Choose the correct choice from the following answers: A) 18 B) 16 C) 5 D) 15 E) 4 | <gadget id="calculator">16 / 100</gadget>
<output>4/25 = around 0.16</output>
<gadget id="calculator">1 + (4/25)</gadget>
<output>29/25 = around 1.16</output>
<gadget id="calculator">27 / 100</gadget>
<output>27/100 = around 0.27</output>
<gadget id="calculator">1 - (27/100)</gadget>
<output>73/100 = around 0.73</output>
<gadget id="calculator">(29/25) * (73/100)</gadget>
<output>2_117/2_500 = around 0.8468</output>
<gadget id="calculator">(2_117/2_500) * 100</gadget>
<output>2_117/25 = around 84.68</output>
<gadget id="calculator">100 - (2_117/25)</gadget>
<output>383/25 = around 15.32</output>
<result>D</result> | D | 15 | The tax on a commodity is diminished by 27% and its consumption increased by 16%. The effect on revenue is? | {
"A": "18",
"B": "16",
"C": "5",
"D": "15",
"E": "4"
} | subtract(const_100, multiply(multiply(add(const_1, divide(16, const_100)), subtract(const_1, divide(27, const_100))), const_100)) | divide(n1,const_100)|divide(n0,const_100)|add(#0,const_1)|subtract(const_1,#1)|multiply(#2,#3)|multiply(#4,const_100)|subtract(const_100,#5)| | "100 * 100 = 10000 73 * 116 = 8468 - - - - - - - - - - - 10000 - - - - - - - - - - - 1532 100 - - - - - - - - - - - ? = > 15 % decrease answer : d" | general |
math_qa__Tu8mwQbvAIGVRhDr | In a class,7 students like to play Basketball and 8 like to play Cricket. 5 students like to play on both Basketball and Cricket. How many students like to play Basketball or Cricket or both? Choose the correct option.
A) 10 B) 15 C) 16 D) 18 E) 22 | <gadget id="calculator">7 + 8</gadget>
<output>15</output>
<gadget id="calculator">15 - 5</gadget>
<output>10</output>
<result>A</result> | A | 10 | In a class,7 students like to play Basketball and 8 like to play Cricket. 5 students like to play on both Basketball and Cricket. How many students like to play Basketball or Cricket or both? | {
"A": "10",
"B": "15",
"C": "16",
"D": "18",
"E": "22"
} | subtract(add(7, 8), 5) | add(n0,n1)|subtract(#0,n2) | draw a venn diagram yourself ! b + c - bc = number of students that play either basketball or cricket 7 + 8 - 5 = 10 a ) | other |
math_qa__gE2TJjPETN8NPcwB | A library has an average of 175 visitors on Sundays and 75 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is : Choose the correct choice
A) 80 B) 90 C) 100 D) 110 E) 120 | <gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">30 / 7</gadget>
<output>30/7 = around 4.285714</output>
<gadget id="calculator">floor(30/7)</gadget>
<output>4</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">5 * 175</gadget>
<output>875</output>
<gadget id="calculator">30 - 5</gadget>
<output>25</output>
<gadget id="calculator">25 * 75</gadget>
<output>1_875</output>
<gadget id="calculator">875 + 1_875</gadget>
<output>2_750</output>
<gadget id="calculator">2_750 / 30</gadget>
<output>275/3 = around 91.666667</output>
<result>B</result> | B | 90 | A library has an average of 175 visitors on Sundays and 75 on other days. The average number of visitors per day in a month of 30 days beginning with a Sunday is : | {
"A": "80",
"B": "90",
"C": "100",
"D": "110",
"E": "120"
} | divide(add(multiply(add(floor(divide(30, add(const_3, const_4))), const_1), 175), multiply(subtract(30, add(floor(divide(30, add(const_3, const_4))), const_1)), 75)), 30) | add(const_3,const_4)|divide(n2,#0)|floor(#1)|add(#2,const_1)|multiply(n0,#3)|subtract(n2,#3)|multiply(n1,#5)|add(#4,#6)|divide(#7,n2)| | "explanation : since the month begins with a sunday , so there will be five sundays in the month , required average = ( 165 * 5 + 75 * 25 ) / 30 = 2700 / 30 = 90 answer : b ) 90" | general |
math_qa__rhXTiU2NMKDQF2jh | If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {26} + {24}? Choose the correct choice from the following options.
A) 23
B) 20
C) 27
D) 5
E) 2 | <gadget id="calculator">26 + 24</gadget>
<output>50</output>
<gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">1 * 2</gadget>
<output>2</output>
<gadget id="calculator">25 + 2</gadget>
<output>27</output>
<result>C</result> | C | 27 | If {x} is the product of all even integers from 1 to x inclusive, what is the greatest prime factor of {26} + {24}? | {
"A": "23",
"B": "20",
"C": "27",
"D": "5",
"E": "2"
} | add(divide(add(26, 24), const_2), multiply(1, const_2)) | add(n1,n2)|multiply(n0,const_2)|divide(#0,const_2)|add(#2,#1)| | "soln : { 26 } + { 24 } = 26 * { 24 } + { 24 } = 27 * { 24 } answer : c" | general |
math_qa__GkXpRJ1LOe5k3hQG | A beats B by 50m in a race of 500m ,then B beats by C by 25m in a race of 500m.Find the
distance by which A beats C in a race of 400?
Choose the most appropriate option:
A) 55 m B) 56 m C) 57 m D) 58 m E) 59 m | <gadget id="calculator">500 - 25</gadget>
<output>475</output>
<gadget id="calculator">475 / 500</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">500 - 50</gadget>
<output>450</output>
<gadget id="calculator">(19/20) * 450</gadget>
<output>855/2 = around 427.5</output>
<gadget id="calculator">(855/2) / 500</gadget>
<output>171/200 = around 0.855</output>
<gadget id="calculator">(171/200) * 400</gadget>
<output>342</output>
<gadget id="calculator">400 - 342</gadget>
<output>58</output>
<result>D</result> | D | 58 | A beats B by 50m in a race of 500m ,then B beats by C by 25m in a race of 500m.Find the
distance by which A beats C in a race of 400? | {
"A": "55 m",
"B": "56 m",
"C": "57 m",
"D": "58 m",
"E": "59 m"
} | subtract(400, multiply(divide(multiply(divide(subtract(500, 25), 500), subtract(500, 50)), 500), 400)) | subtract(n1,n2)|subtract(n1,n0)|divide(#0,n1)|multiply(#2,#1)|divide(#3,n1)|multiply(n4,#4)|subtract(n4,#5) | a beats b in 500 m race by 50 m so , for every 10 m race a beat b by 1 m . . so , in 400 m race a beat b by 40 m in a case of b & c , b beats c by 25 m in 500 m race . . so , b beats c by 1 m in 20 m race now , in a 400 m race b beats c by 18 m . . in a 400 m race , a beats b by 40 m & b beats c by 18 m . . so , a beats c by 58 m answer : d | physics |
math_qa__v2X5kRy6L59U2SO2 | A fellow borrowed a certain sum of money at 4% per annum at simple interest and in 4 years the interest amounted to Rs.1260 less than the sum lent. What was the sum lent?
Choose the most appropriate option.
A) 1050 B) 1220 C) 1500 D) 1060 E) 1110 | <gadget id="calculator">4 * 4</gadget>
<output>16</output>
<gadget id="calculator">16 / 100</gadget>
<output>4/25 = around 0.16</output>
<gadget id="calculator">1 - (4/25)</gadget>
<output>21/25 = around 0.84</output>
<gadget id="calculator">1_260 / (21/25)</gadget>
<output>1_500</output>
<result>C</result> | C | 1,500 | A fellow borrowed a certain sum of money at 4% per annum at simple interest and in 4 years the interest amounted to Rs.1260 less than the sum lent. What was the sum lent? | {
"A": "1050",
"B": "1220",
"C": "1500",
"D": "1060",
"E": "1110"
} | divide(1260, subtract(const_1, divide(multiply(4, 4), const_100))) | multiply(n0,n0)|divide(#0,const_100)|subtract(const_1,#1)|divide(n2,#2)| | "p - 1260 = ( p * 4 * 4 ) / 100 p = 1500 answer : c" | gain |
math_qa__t7d7OK5fDrn5VUTE | The pilot of a small aircraft with a 40-gallon fuel tank wants to fly to Cleveland, which is 480 miles away. The pilot recognizes that the current engine, which can fly only 5 miles per gallon, will not get him there. By how many miles per gallon must the aircraft’s fuel efficiency be improved to make the flight to Cleveland possible? Pick one: A) 2 B) 4 C) 12 D) 40 E) 7 | <gadget id="calculator">480 / 40</gadget>
<output>12</output>
<gadget id="calculator">12 - 5</gadget>
<output>7</output>
<result>E</result> | E | 7 | The pilot of a small aircraft with a 40-gallon fuel tank wants to fly to Cleveland, which is 480 miles away. The pilot recognizes that the current engine, which can fly only 5 miles per gallon, will not get him there. By how many miles per gallon must the aircraft’s fuel efficiency be improved to make the flight to Cleveland possible? | {
"A": "2",
"B": "4",
"C": "12",
"D": "40",
"E": "7"
} | subtract(divide(480, 40), 5) | divide(n1,n0)|subtract(#0,n2) | actual miles / gallon is = 480 / 40 = 12 miles / gallon . current engine miles / gallon is 5 miles / gallon . additional 7 miles / gallon is required to match the actual mileage . imo option e . | physics |
math_qa__xuiU0GzxwwuX9soQ | What is the % change in the area of a rectangle when its length increases by 35% and its width decreases by 35%? Answers:
A) 0 % B) 20 % increase C) 20 % decrease D) 12 % decrease E) insufficient data | <gadget id="calculator">100 + 35</gadget>
<output>135</output>
<gadget id="calculator">100 - 35</gadget>
<output>65</output>
<gadget id="calculator">135 * 65</gadget>
<output>8_775</output>
<gadget id="calculator">8_775 / 100</gadget>
<output>351/4 = around 87.75</output>
<gadget id="calculator">100 - (351/4)</gadget>
<output>49/4 = around 12.25</output>
<result>D</result> | D | 12 | What is the % change in the area of a rectangle when its length increases by 35% and its width decreases by 35%? | {
"A": "0 %",
"B": "20 % increase",
"C": "20 % decrease",
"D": "12 % decrease",
"E": "insufficient data"
} | subtract(const_100, divide(multiply(add(const_100, 35), subtract(const_100, 35)), const_100)) | add(n0,const_100)|subtract(const_100,n0)|multiply(#0,#1)|divide(#2,const_100)|subtract(const_100,#3) | ( 135 / 10 ) * ( 65 / 10 ) = 8775 / 100 ~ 88 of original area 0.88 is a 12 % decrease from 100 / 100 - > d | geometry |
math_qa__m0t0dyLxQLw2v3mY | What is the product between the place values of two 8's in the numeral 780.38 Choose the correct choice from the following answers
A) 0.16 B) 0.64 C) 80.08 D) 64 E) 6.4 | <gadget id="calculator">780.38 / 100</gadget>
<output>7.8038</output>
<gadget id="calculator">floor(7.8038)</gadget>
<output>7</output>
<gadget id="calculator">7 * 100</gadget>
<output>700</output>
<gadget id="calculator">780.38 - 700</gadget>
<output>80.38</output>
<gadget id="calculator">floor(80.38)</gadget>
<output>80</output>
<gadget id="calculator">780.38 * 10</gadget>
<output>7_803.8</output>
<gadget id="calculator">floor(7_803.8)</gadget>
<output>7_803</output>
<gadget id="calculator">7_803.8 - 7_803</gadget>
<output>0.8</output>
<gadget id="calculator">0.8 / 10</gadget>
<output>0.08</output>
<gadget id="calculator">80 * 0.08</gadget>
<output>6.4</output>
<result>E</result> | E | 6.4 | What is the product between the place values of two 8's in the numeral 780.38 | {
"A": "0.16",
"B": "0.64",
"C": "80.08",
"D": "64",
"E": "6.4"
} | multiply(floor(subtract(780.38, multiply(floor(divide(780.38, const_100)), const_100))), divide(subtract(multiply(780.38, const_10), floor(multiply(780.38, const_10))), const_10)) | divide(n1,const_100)|multiply(n1,const_10)|floor(#1)|floor(#0)|multiply(#3,const_100)|subtract(#1,#2)|divide(#5,const_10)|subtract(n1,#4)|floor(#7)|multiply(#6,#8) | required product = 80 x 0.08 = 6.4 answer is e | general |
math_qa__OEkZ4U4jioRkyVaO | Two numbers are 30% and 37% are less than a third number .How much percent is the second number less than the first? Pick one.
A) 19 % B) 80 % C) 10 % D) 90 % E) 15 % | <gadget id="calculator">100 - 30</gadget>
<output>70</output>
<gadget id="calculator">100 - 37</gadget>
<output>63</output>
<gadget id="calculator">70 - 63</gadget>
<output>7</output>
<gadget id="calculator">7 / 70</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) * 100</gadget>
<output>10</output>
<result>C</result> | C | 10 | Two numbers are 30% and 37% are less than a third number .How much percent is the second number less than the first? | {
"A": "19 %",
"B": "80 %",
"C": "10 %",
"D": "90 %",
"E": "15 %"
} | multiply(divide(subtract(subtract(const_100, 30), subtract(const_100, 37)), subtract(const_100, 30)), const_100) | subtract(const_100,n0)|subtract(const_100,n1)|subtract(#0,#1)|divide(#2,#0)|multiply(#3,const_100) | i ii iii 70 63 100 70 - - - - - - - - 7 100 - - - - - - ? = > 10 % answer : c | gain |
math_qa__wq3pFcYlVOwzgxDx | A train is 360 meter long is running at a speed of 30 km/hour. In what time will it pass a bridge of 140 meter length?
Answers
A) 87 B) 69 C) 60 D) 72 E) 21 | <gadget id="calculator">360 + 140</gadget>
<output>500</output>
<gadget id="calculator">30 * 1_000</gadget>
<output>30_000</output>
<gadget id="calculator">30_000 / 3_600</gadget>
<output>25/3 = around 8.333333</output>
<gadget id="calculator">500 / (25/3)</gadget>
<output>60</output>
<result>C</result> | C | 60 | A train is 360 meter long is running at a speed of 30 km/hour. In what time will it pass a bridge of 140 meter length? | {
"A": "87",
"B": "69",
"C": "60",
"D": "72",
"E": "21"
} | divide(add(360, 140), divide(multiply(30, const_1000), const_3600)) | add(n0,n2)|multiply(n1,const_1000)|divide(#1,const_3600)|divide(#0,#2)| | "speed = 30 km / hr = 30 * ( 5 / 18 ) m / sec = 25 / 3 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 * ( 3 / 25 ) = 60 seconds answer : c" | physics |
math_qa__mRSYFd4fBFTS8bN0 | The total car population in a Chennai is 9000 out of which 5000 are made by Honda. Out of every 100 Honda cars, 90 are red in color, but only 60% of the total car population is red. Find the % of non-Honda cars that are red
Choices
A) 22.5 % B) 21.5 % C) 20.5 % D) 12.5 % E) 10.5 % | <gadget id="calculator">12 + 12</gadget>
<output>24</output>
<gadget id="calculator">90 * 1</gadget>
<output>90</output>
<gadget id="calculator">90 + 3</gadget>
<output>93</output>
<gadget id="calculator">93 - 90</gadget>
<output>3</output>
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">24 - (3/2)</gadget>
<output>45/2 = around 22.5</output>
<result>A</result> | A | 22.5 | The total car population in a Chennai is 9000 out of which 5000 are made by Honda. Out of every 100 Honda cars, 90 are red in color, but only 60% of the total car population is red. Find the % of non-Honda cars that are red | {
"A": "22.5 %",
"B": "21.5 %",
"C": "20.5 %",
"D": "12.5 %",
"E": "10.5 %"
} | subtract(add(const_12, const_12), divide(subtract(add(multiply(90, const_1), const_3), multiply(90, const_1)), const_2)) | add(const_12,const_12)|multiply(n3,const_1)|add(#1,const_3)|subtract(#2,#1)|divide(#3,const_2)|subtract(#0,#4) | total honda brand red cars = 90 / 100 * 5000 = 4500 total red cars = 60 / 100 * 9000 = 5400 no . of non - honda cars = 9000 - 5000 = 4000 no . of non - honda red cars = 5400 - 4500 = 900 % of non - honda red cars = 900 / 4000 * 100 = 22.5 % answer : a | general |
math_qa__kKacdXCE88NviybK | Danny and Steve are running towards each other, each one from his own house. Danny can reach Steve's house in 29 minutes of running, which is half the time it takes Steve to reach Danny's house. If the two started to run at the same time, how much time longer will it take Steve to reach the halfway point between their houses than Danny to reach the halfway point between their houses? Choose the correct choice from the following choices
A) 14.5 minutes B) 29 minutes C) 35 minutes D) 58 minutes E) 87 minutes | <gadget id="calculator">29 / 2</gadget>
<output>29/2 = around 14.5</output>
<result>A</result> | A | 14.5 | Danny and Steve are running towards each other, each one from his own house. Danny can reach Steve's house in 29 minutes of running, which is half the time it takes Steve to reach Danny's house. If the two started to run at the same time, how much time longer will it take Steve to reach the halfway point between their houses than Danny to reach the halfway point between their houses? | {
"A": "14.5 minutes",
"B": "29 minutes",
"C": "35 minutes",
"D": "58 minutes",
"E": "87 minutes"
} | divide(29, const_2) | divide(n0,const_2) | danny ' s time is 29 minutes . the time to reach halfway is 14.5 minutes . steve ' s time is 58 minutes . the time to reach halfway is 29 minutes . the time difference is 29 - 14.5 = 14.5 minutes the answer is a . | physics |
math_qa__D5ZmGhPsXR0Jx73d | Find the fraction which has the same ratio to 1/2 that 2/5 has to 3/7 Options: A) 1 / 2 B) 2 / 12 C) 14 / 30 D) 3 / 8 E) 7 / 9 | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">3 / 7</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">(2/5) / (3/7)</gadget>
<output>14/15 = around 0.933333</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(14/15) * (1/2)</gadget>
<output>7/15 = around 0.466667</output>
<result>C</result> | C | 0.466667 | Find the fraction which has the same ratio to 1/2 that 2/5 has to 3/7 | {
"A": "1 / 2",
"B": "2 / 12",
"C": "14 / 30",
"D": "3 / 8",
"E": "7 / 9"
} | multiply(divide(divide(2, 5), divide(3, 7)), divide(1, 2)) | divide(n2,n3)|divide(n4,n5)|divide(n0,n1)|divide(#0,#1)|multiply(#3,#2)| | "a : 1 / 2 = 2 / 5 : 3 / 7 as the product of the means is equal to the product of the extremes . a * 3 / 7 = 1 / 2 * 2 / 5 a * 3 / 7 = 2 / 10 a = 14 / 30 = > a = 14 / 30 answer : c" | other |
math_qa__xGtIl1PrVPgpVSeU | the average of 7 consecutive numbers a , b , c , d , e , f and g is 9 . what percent of g is a ? Choose the correct answer:
A) 42.0 B) 48.0 C) 50.0 D) 52.2 E) 54.0 | <gadget id="calculator">7 / 2</gadget>
<output>7/2 = around 3.5</output>
<gadget id="calculator">floor(7/2)</gadget>
<output>3</output>
<gadget id="calculator">9 + 3</gadget>
<output>12</output>
<gadget id="calculator">9 - 3</gadget>
<output>6</output>
<gadget id="calculator">12 - 6</gadget>
<output>6</output>
<gadget id="calculator">6 / 12</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 100</gadget>
<output>50</output>
<result>C</result> | C | 50 | the average of 7 consecutive numbers a , b , c , d , e , f and g is 9 . what percent of g is a ? | {
"A": "42.0",
"B": "48.0",
"C": "50.0",
"D": "52.2",
"E": "54.0"
} | multiply(divide(subtract(add(9, floor(divide(7, const_2))), subtract(9, floor(divide(7, const_2)))), add(9, floor(divide(7, const_2)))), const_100) | divide(n0,const_2)|floor(#0)|add(n1,#1)|subtract(n1,#1)|subtract(#2,#3)|divide(#4,#2)|multiply(#5,const_100) | explanation : in such a case the middle number ( d ) is the average ∴ d = 9 and a = 6 and g = 12 required percentage = 6 / 12 x 100 = 50.0 answer : option c | general |
math_qa__B4x2CA5Dr0P5n90b | A hen leaps 6 leaps for every 8 leaps of a duck, but 4 leaps of the duck are equal to 3 leaps of the hen. What is the ratio of the speed of the hen to that of the duck? Options:
A) 1 : 1
B) 3 : 8
C) 4 : 3
D) 8 : 9
E) 1 : 3 | <gadget id="calculator">6 / 8</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) / (3/4)</gadget>
<output>1</output>
<result>A</result> | A | 1 | A hen leaps 6 leaps for every 8 leaps of a duck, but 4 leaps of the duck are equal to 3 leaps of the hen. What is the ratio of the speed of the hen to that of the duck? | {
"A": "1 : 1",
"B": "3 : 8",
"C": "4 : 3",
"D": "8 : 9",
"E": "1 : 3"
} | divide(divide(6, 8), divide(3, 4)) | divide(n0,n1)|divide(n3,n2)|divide(#0,#1) | given ; 4 duck = 3 hen ; or , duck / hen = 3 / 4 ; let hen ' s 1 leap = 4 meter and ducks 1 leap = 3 meter . then , ratio of speed of hen and duck = 4 * 6 / 3 * 8 = 1 : 1 ' ' answer : 1 : 1 ; | other |
math_qa__eM6VweYcp5R20yVG | Amar takes as much time in running 24 meters as a car takes in covering 60 meters. What will be the distance covered by Amar during the time the car covers 2.2 km?
Choose the correct choice:
A) 700 m
B) 500 m
C) 870 m
D) 880 m
E) 840 m | <gadget id="calculator">2.2 * 1_000</gadget>
<output>2_200</output>
<gadget id="calculator">24 * 2_200</gadget>
<output>52_800</output>
<gadget id="calculator">52_800 / 60</gadget>
<output>880</output>
<result>D</result> | D | 880 | Amar takes as much time in running 24 meters as a car takes in covering 60 meters. What will be the distance covered by Amar during the time the car covers 2.2 km? | {
"A": "700 m",
"B": "500 m",
"C": "870 m",
"D": "880 m",
"E": "840 m"
} | divide(multiply(24, multiply(2.2, const_1000)), 60) | multiply(n2,const_1000)|multiply(n0,#0)|divide(#1,n1)| | "distance covered by amar = 24 / 60 ( 2.2 km ) = 2 / 5 ( 2200 ) = 880 m answer : d" | physics |
math_qa__dM8FHAMBx4vWjZLL | of the 600 residents of clermontville , 35 % watch the television show island survival , 40 % watch lovelost lawyers and 50 % watch medical emergency . if all residents watch at least one of these 3 shows and 18 % watch exactly 2 of these shows , then how many clermontville residents b watch all of the shows ? Choose the correct choice from the following answers:
A) 150 B) 108 C) 42 D) 21 E) - 21 | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">600 * (2/5)</gadget>
<output>240</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">600 * (1/2)</gadget>
<output>300</output>
<gadget id="calculator">240 + 300</gadget>
<output>540</output>
<gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">600 * (7/20)</gadget>
<output>210</output>
<gadget id="calculator">540 + 210</gadget>
<output>750</output>
<gadget id="calculator">750 - 600</gadget>
<output>150</output>
<gadget id="calculator">18 / 100</gadget>
<output>9/50 = around 0.18</output>
<gadget id="calculator">600 * (9/50)</gadget>
<output>108</output>
<gadget id="calculator">150 - 108</gadget>
<output>42</output>
<gadget id="calculator">42 / 2</gadget>
<output>21</output>
<result>D</result> | D | 21 | of the 600 residents of clermontville , 35 % watch the television show island survival , 40 % watch lovelost lawyers and 50 % watch medical emergency . if all residents watch at least one of these 3 shows and 18 % watch exactly 2 of these shows , then how many clermontville residents b watch all of the shows ? | {
"A": "150",
"B": "108",
"C": "42",
"D": "21",
"E": "- 21"
} | divide(subtract(subtract(add(add(multiply(600, divide(40, const_100)), multiply(600, divide(50, const_100))), multiply(600, divide(35, const_100))), 600), multiply(600, divide(18, const_100))), 2) | divide(n2,const_100)|divide(n3,const_100)|divide(n1,const_100)|divide(n5,const_100)|multiply(n0,#0)|multiply(n0,#1)|multiply(n0,#2)|multiply(n0,#3)|add(#4,#5)|add(#8,#6)|subtract(#9,n0)|subtract(#10,#7)|divide(#11,n6) | oa is d . 100 = a + b + c - ab - ac - bc + abc , which is the same as the following formula 100 = a + b + c + ( - ab - ac - bc + abc + abc + abc ) - 2 abc . the term between parantheses value 18 % so the equation to resolve is 100 = 35 + 40 + 50 - 18 - 2 abc therefore the value of abc is 3.5 % of 600 , b is 21 . d is the correct answer | gain |
math_qa__v4Dg9GkuFMxw8ka7 | The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 600 per sq.metre. Choose the most appropriate option:
A) rs . 15,000
B) rs . 15,500
C) rs . 12,375
D) rs . 16,500
E) none | <gadget id="calculator">5.5 * 3.75</gadget>
<output>20.625</output>
<gadget id="calculator">600 * 20.625</gadget>
<output>12_375</output>
<result>C</result> | C | 12,375 | The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 600 per sq.metre. | {
"A": "rs . 15,000",
"B": "rs . 15,500",
"C": "rs . 12,375",
"D": "rs . 16,500",
"E": "none"
} | multiply(600, multiply(5.5, 3.75)) | multiply(n0,n1)|multiply(n2,#0)| | "solution area of the floor = ( 5.5 x 3.75 ) m ² = 20.635 m ² cost of paying = rs . ( 600 x 20.625 ) = rs . 12,375 . answer c" | physics |
math_qa__WBfDNAt14yBjvItR | X and Y together can completes a work in 12 days and Y complete the same work in 24 days. Then the number of days X required to complete the work will be?
Choose the correct choice from the following: A) 15 days . B) 12 days . C) 24 days . D) 13 days . E) 16 days . | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 24</gadget>
<output>1/24 = around 0.041667</output>
<gadget id="calculator">(1/12) - (1/24)</gadget>
<output>1/24 = around 0.041667</output>
<gadget id="calculator">1 / (1/24)</gadget>
<output>24</output>
<result>C</result> | C | 24 | X and Y together can completes a work in 12 days and Y complete the same work in 24 days. Then the number of days X required to complete the work will be? | {
"A": "15 days .",
"B": "12 days .",
"C": "24 days .",
"D": "13 days .",
"E": "16 days ."
} | inverse(subtract(inverse(12), inverse(24))) | inverse(n0)|inverse(n1)|subtract(#0,#1)|inverse(#2) | x and y complete in one day = 1 / 12 part , y completes in one day = 1 / 24 parts . therefore x alone can do in one day = 1 / 24 part . therefore the work can be finished by x = 24 days . ans : c | physics |
math_qa__WqBHAchYfKGQRRnW | If 204 ÷ 12.75 = 16, then 2.04 ÷ 1.275 = ?
Choose one:
A) 16 B) 1.6 C) 0.16 D) 0.016 E) none of these | <gadget id="calculator">2.04 / 1.275</gadget>
<output>1.6</output>
<result>B</result> | B | 1.6 | If 204 ÷ 12.75 = 16, then 2.04 ÷ 1.275 = ? | {
"A": "16",
"B": "1.6",
"C": "0.16",
"D": "0.016",
"E": "none of these"
} | divide(2.04, 1.275) | divide(n3,n4) | explanation : ( 204 / 12.75 ) = 16 ⇒ ( 20.4 ) / ( 1.275 ) = 16 ( ∵ divided numerator and denominator by 10 ) ⇒ 2.04 / 1.275 = 1.6 ( ∵ divided lhs and rhs by 10 ) answer : option b | general |
math_qa__v8P1XAvowfj70jpq | If n is an integer and 101n^2 is less than or equal to 3600, what is the greatest possible value of n?
Choose the correct answer.
A) 7 B) 5 C) 9 D) 10 E) 11 | <gadget id="calculator">3_600 / 101</gadget>
<output>3_600/101 = around 35.643564</output>
<gadget id="calculator">(3_600/101) ** (1/2)</gadget>
<output>60*sqrt(101)/101 = around 5.970223</output>
<gadget id="calculator">floor(60*sqrt(101)/101)</gadget>
<output>5</output>
<result>B</result> | B | 5 | If n is an integer and 101n^2 is less than or equal to 3600, what is the greatest possible value of n? | {
"A": "7",
"B": "5",
"C": "9",
"D": "10",
"E": "11"
} | floor(sqrt(divide(3600, 101))) | divide(n2,n0)|sqrt(#0)|floor(#1)| | "101 * n ^ 2 < = 3600 n ^ 2 < = 3600 / 101 which will be less than 81 since 3600 / 100 = 36 which is the square of 9 next closest value of n where n ^ 2 < = 36 is 5 ans b" | general |
math_qa__ii3Dv7gzgSPh1Z4h | Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her with $105 dollar, which she typically uses for gifts and charitable causes. What is Jill’s net monthly salary?
Choose the correct choice from the following
A) $ 2400 B) $ 3200 C) $ 3500 D) $ 6400 E) $ 9600 | <gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">100 * 5</gadget>
<output>500</output>
<gadget id="calculator">30 + 20</gadget>
<output>50</output>
<gadget id="calculator">50 + 35</gadget>
<output>85</output>
<gadget id="calculator">100 - 85</gadget>
<output>15</output>
<gadget id="calculator">105 / 15</gadget>
<output>7</output>
<gadget id="calculator">500 * 7</gadget>
<output>3_500</output>
<result>C</result> | C | 3,500 | Each month, after Jill pays for rent, utilities, food, and other necessary expenses, she has one fifth of her net monthly salary left as discretionary income. Of this discretionary income, she puts 30% into a vacation fund, 20% into savings, and spends 35% on eating out and socializing. This leaves her with $105 dollar, which she typically uses for gifts and charitable causes. What is Jill’s net monthly salary? | {
"A": "$ 2400",
"B": "$ 3200",
"C": "$ 3500",
"D": "$ 6400",
"E": "$ 9600"
} | multiply(multiply(const_100, add(const_3, const_2)), divide(105, subtract(const_100, add(add(30, 20), 35)))) | add(n0,n1)|add(const_2,const_3)|add(n2,#0)|multiply(#1,const_100)|subtract(const_100,#2)|divide(n3,#4)|multiply(#5,#3) | let x be the monthly salary 15 % of 1 / 5 * x = 105 x = 3500 answer c | gain |
math_qa__WL3txD341z1qdrTq | if the average ( arithmetic mean ) of 5 b , 6 b + 47 b , 8 b - 4 and 2 b is 140 , what is the value of b ? Choose the correct choice from the following:
A) 20 B) 22 C) 25 D) 30 E) 48 | <gadget id="calculator">140 / 6</gadget>
<output>70/3 = around 23.333333</output>
<gadget id="calculator">(70/3) + 2</gadget>
<output>76/3 = around 25.333333</output>
<result>C</result> | C | 25 | if the average ( arithmetic mean ) of 5 b , 6 b + 47 b , 8 b - 4 and 2 b is 140 , what is the value of b ? | {
"A": "20",
"B": "22",
"C": "25",
"D": "30",
"E": "48"
} | add(divide(140, 6), 2) | divide(n6,n1)|add(n5,#0) | am of 5 b , 6 b + 47 b , 8 b - 4 and 2 b = 5 b + 6 b + 4 + 7 b + 8 b - 4 + 2 b = 28 b / 5 given that 28 b / 5 = 140 b = 25 answer is c | general |
math_qa__GhZM6GUXq5HOJYDP | You buy a piece of land with an area of √400, how long is one side of the land plot?
Choose the correct choice
A) 28
B) 29
C) 30
D) 20
E) 32 | <gadget id="calculator">400 ** (1/2)</gadget>
<output>20</output>
<result>D</result> | D | 20 | You buy a piece of land with an area of √400, how long is one side of the land plot? | {
"A": "28",
"B": "29",
"C": "30",
"D": "20",
"E": "32"
} | sqrt(400) | sqrt(n0)| | "try filling the numbers into the answer y x y = find the closest to 400 . answer d" | geometry |
math_qa__ZNo3jbUMTVFq0oIr | find the number, difference between number and its 3/5 is 62. Select:
A) 150 B) 153 C) 154 D) 155 E) 156 | <gadget id="calculator">62 / 2</gadget>
<output>31</output>
<gadget id="calculator">31 * 5</gadget>
<output>155</output>
<result>D</result> | D | 155 | find the number, difference between number and its 3/5 is 62. | {
"A": "150",
"B": "153",
"C": "154",
"D": "155",
"E": "156"
} | multiply(divide(62, const_2), 5) | divide(n2,const_2)|multiply(n1,#0)| | "explanation : let the number = x , then , x - ( 3 / 5 ) x = 62 , = > ( 2 / 5 ) x = 62 = > 2 x = 62 * 5 , = > x = 155 answer : option d" | general |
math_qa__FqsB8UdiHKi7gSGS | Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 90% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets? Pick one:
A) 66 %
B) 75 %
C) 86 %
D) 97 %
E) 150 % | <gadget id="calculator">100 + 90</gadget>
<output>190</output>
<gadget id="calculator">190 / 2</gadget>
<output>95</output>
<gadget id="calculator">100 + 95</gadget>
<output>195</output>
<gadget id="calculator">190 / 195</gadget>
<output>38/39 = around 0.974359</output>
<gadget id="calculator">(38/39) * 100</gadget>
<output>3_800/39 = around 97.435897</output>
<result>D</result> | D | 97 | Company KW is being sold, and both Company A and Company B were considering the purchase. The price of Company KW is 90% more than Company A has in assets, and this same price is also 100% more than Company B has in assets. If Companies A and B were to merge and combine their assets, the price of Company KW would be approximately what percent of these combined assets? | {
"A": "66 %",
"B": "75 %",
"C": "86 %",
"D": "97 %",
"E": "150 %"
} | multiply(divide(add(100, 90), add(100, divide(add(100, 90), const_2))), 100) | add(n0,n1)|divide(#0,const_2)|add(n1,#1)|divide(#0,#2)|multiply(#3,n1)| | "let the price of company a ' s assets be 100 price of assets of kw is 90 % more than company a ' s assets which is 190 price of assets of kw is 100 % more than company b ' s assets which means price of company b ' s assets is half the price of kw = 95 a + b = 195 kw = 190 kw / ( a + b ) * 100 = 190 / 195 * 100 = 97.43 % or 97 % d" | gain |
math_qa__zdQkizHypuiK8Gy1 | If $200 invested at a certain rate of simple interest amounts to $240 at the end of 3 years,How much will $150 amount to at the same rate of interest in 6 years? Select.
A) $ 190 B) $ 180 C) $ 200 D) $ 240 E) $ 210 | <gadget id="calculator">150 * 6</gadget>
<output>900</output>
<gadget id="calculator">240 - 200</gadget>
<output>40</output>
<gadget id="calculator">40 * 200</gadget>
<output>8_000</output>
<gadget id="calculator">8_000 / 200</gadget>
<output>40</output>
<gadget id="calculator">40 / 3</gadget>
<output>40/3 = around 13.333333</output>
<gadget id="calculator">900 * (40/3)</gadget>
<output>12_000</output>
<gadget id="calculator">12_000 / 200</gadget>
<output>60</output>
<gadget id="calculator">150 + 60</gadget>
<output>210</output>
<result>E</result> | E | 210 | If $200 invested at a certain rate of simple interest amounts to $240 at the end of 3 years,How much will $150 amount to at the same rate of interest in 6 years? | {
"A": "$ 190",
"B": "$ 180",
"C": "$ 200",
"D": "$ 240",
"E": "$ 210"
} | add(150, divide(multiply(multiply(150, 6), divide(divide(multiply(subtract(240, 200), 200), 200), 3)), 200)) | multiply(n3,n4)|subtract(n1,n0)|multiply(#1,n0)|divide(#2,n0)|divide(#3,n2)|multiply(#4,#0)|divide(#5,n0)|add(n3,#6)| | "200 amounts to 240 in 3 years . i . e ( principal + interest ) on 120 in 3 years = 240 200 + 200 * ( r / 100 ) * ( 3 ) = 240 = > r = 20 / 3 150 in 6 years = principal + interest = 150 + 150 * ( r / 100 ) * ( 6 ) = 210 answer is e ." | gain |
math_qa__rCiB4qUHoZH6ADzm | If x is the median of the set {9/2, 10/3, 27/9, 21/5, x}, x could be Choose one
A) 16 / 5
B) 17 / 5
C) 28 / 7
D) 30 / 7
E) 31 / 7 | <gadget id="calculator">9 / 2</gadget>
<output>9/2 = around 4.5</output>
<gadget id="calculator">10 / 3</gadget>
<output>10/3 = around 3.333333</output>
<gadget id="calculator">(9/2) + (10/3)</gadget>
<output>47/6 = around 7.833333</output>
<gadget id="calculator">27 / 9</gadget>
<output>3</output>
<gadget id="calculator">(47/6) + 3</gadget>
<output>65/6 = around 10.833333</output>
<gadget id="calculator">21 / 5</gadget>
<output>21/5 = around 4.2</output>
<gadget id="calculator">(65/6) + (21/5)</gadget>
<output>451/30 = around 15.033333</output>
<gadget id="calculator">(451/30) / 4</gadget>
<output>451/120 = around 3.758333</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(451/120) + (1/10)</gadget>
<output>463/120 = around 3.858333</output>
<gadget id="calculator">(463/120) + (1/10)</gadget>
<output>95/24 = around 3.958333</output>
<result>C</result> | C | 4 | If x is the median of the set {9/2, 10/3, 27/9, 21/5, x}, x could be | {
"A": "16 / 5",
"B": "17 / 5",
"C": "28 / 7",
"D": "30 / 7",
"E": "31 / 7"
} | add(add(divide(add(add(add(divide(9, 2), divide(10, 3)), divide(27, 9)), divide(21, 5)), const_4), divide(const_10, const_100)), divide(const_10, const_100)) | divide(n0,n1)|divide(n2,n3)|divide(n4,n5)|divide(n6,n7)|divide(const_10,const_100)|add(#0,#1)|add(#5,#2)|add(#6,#3)|divide(#7,const_4)|add(#8,#4)|add(#9,#4)| | "the median is the middle number once all the numbers are arranged in increasing / decreasing order . we see that 10 / 3 = 3 . something , 27 / 9 = 3 . something 21 / 5 = 4 . something 9 / 2 = 4 . something so x should greater than the smallest two numbers and smaller than the greatest two numbers . we can see that x = 4 is possible . ( first look at the simplest option or the middle option since options are usually arranged in increasing / decreasing order ) answer ( c )" | general |
math_qa__Zc2zz0t7jfeTB4kI | James and David work at a grocery shop with 12 other workers. For an internal review, 2 of the 12 workers will be randomly chosen to be interviewed. What is the probability that James and David will both be chosen?
Select the correct option:
A) 1 / 26 B) 1 / 36 C) 1 / 46 D) 1 / 66 E) 1 / 56 | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">12 - 1</gadget>
<output>11</output>
<gadget id="calculator">1 / 11</gadget>
<output>1/11 = around 0.090909</output>
<gadget id="calculator">(1/12) * (1/11)</gadget>
<output>1/132 = around 0.007576</output>
<gadget id="calculator">2 * (1/132)</gadget>
<output>1/66 = around 0.015152</output>
<result>D</result> | D | 0.015152 | James and David work at a grocery shop with 12 other workers. For an internal review, 2 of the 12 workers will be randomly chosen to be interviewed. What is the probability that James and David will both be chosen? | {
"A": "1 / 26",
"B": "1 / 36",
"C": "1 / 46",
"D": "1 / 66",
"E": "1 / 56"
} | multiply(const_2, multiply(divide(const_1, 12), divide(const_1, subtract(12, const_1)))) | divide(const_1,n0)|subtract(n0,const_1)|divide(const_1,#1)|multiply(#0,#2)|multiply(#3,const_2) | probability that james and david will both be chosen out of 12 workers = ( 2 / 12 ) * ( 1 / 11 ) = 1 / 66 answer d | physics |
math_qa__eSpaSUSLfSEmo1JO | A candidate got 35% of the votes and lost to the rival by 1800 votes. How many votes were cast? Select the correct option.
A) 5500
B) 6000
C) 6500
D) 7000
E) 7500 | <gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">1 - (7/20)</gadget>
<output>13/20 = around 0.65</output>
<gadget id="calculator">(13/20) - (7/20)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1_800 / (3/10)</gadget>
<output>6_000</output>
<result>B</result> | B | 6,000 | A candidate got 35% of the votes and lost to the rival by 1800 votes. How many votes were cast? | {
"A": "5500",
"B": "6000",
"C": "6500",
"D": "7000",
"E": "7500"
} | divide(1800, subtract(subtract(const_1, divide(35, const_100)), divide(35, const_100))) | divide(n0,const_100)|subtract(const_1,#0)|subtract(#1,#0)|divide(n1,#2)| | "35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % = 1800 10 % = 600 100 % of the votes = 6000 answer : b" | gain |
math_qa__rsyppKpE4tpbnArU | A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number D of people surveyed by the company?
Choose one: A) 46 B) 80 C) d . 90 D) d . 100 E) 200 | <gadget id="calculator">100 - 23</gadget>
<output>77</output>
<gadget id="calculator">77 + 23</gadget>
<output>100</output>
<gadget id="calculator">100 + 20</gadget>
<output>120</output>
<gadget id="calculator">120 / 2</gadget>
<output>60</output>
<gadget id="calculator">60 - 20</gadget>
<output>40</output>
<gadget id="calculator">40 + 60</gadget>
<output>100</output>
<result>D</result> | D | 100 | A company conducted a survey about its two brands, A and B. x percent of respondents liked product A, (x – 20) percent liked product B, 23 percent liked both products, and 23 percent liked neither product. What is the minimum number D of people surveyed by the company? | {
"A": "46",
"B": "80",
"C": "d . 90",
"D": "d . 100",
"E": "200"
} | add(subtract(divide(add(add(subtract(const_100, 23), 23), 20), const_2), 20), divide(add(add(subtract(const_100, 23), 23), 20), const_2)) | subtract(const_100,n1)|add(n1,#0)|add(n0,#1)|divide(#2,const_2)|subtract(#3,n0)|add(#3,#4) | 100 = x + x - 20 + 23 - 23 x = 60 , so , product a = 60 % , product b = 40 % , both = 23 % , neither = 23 % 23 % of the total no . of people should be an integer . so , a , bc are out . 60 % of d and 40 % of d are both integers . so , d satisfies all conditions . so , answer is d . | other |
math_qa__JL1yH2CVeWG13Zvd | Two trains of equal length are running on parallel lines in the same directions at 46km/hr. and 36km/hr. The faster trains pass the slower train in 54 seconds. The length of each train is: Choices:
A) 82 m
B) 50 m
C) 75 m
D) 80 m
E) none of these | <gadget id="calculator">46 - 36</gadget>
<output>10</output>
<gadget id="calculator">10 * 1_000</gadget>
<output>10_000</output>
<gadget id="calculator">10_000 / 3_600</gadget>
<output>25/9 = around 2.777778</output>
<gadget id="calculator">(25/9) * 54</gadget>
<output>150</output>
<gadget id="calculator">150 / 2</gadget>
<output>75</output>
<result>C</result> | C | 75 | Two trains of equal length are running on parallel lines in the same directions at 46km/hr. and 36km/hr. The faster trains pass the slower train in 54 seconds. The length of each train is: | {
"A": "82 m",
"B": "50 m",
"C": "75 m",
"D": "80 m",
"E": "none of these"
} | divide(multiply(divide(multiply(subtract(46, 36), const_1000), const_3600), 54), const_2) | subtract(n0,n1)|multiply(#0,const_1000)|divide(#1,const_3600)|multiply(n2,#2)|divide(#3,const_2)| | "explanation : the relative speed of train is 46 - 36 = 10 km / hr = ( 10 x 5 ) / 18 = 25 / 9 m / s 10 × 518 = 259 m / s in 54 secs the total distance traveled is 54 x 25 / 9 = 150 m . therefore the length of each train is = 150 / 2 = 75 m . answer c" | general |
math_qa__RO2c2FdNMtwoCLMZ | If 11.25 m of a uniform steel rod weighs 42.75 kg. what will be the weight of 7 m of the same rod? Options: A) 22.8 kg B) 26.6 kg C) 28 kg D) 26.5 kg E) none of these | <gadget id="calculator">7 * 42.75</gadget>
<output>299.25</output>
<gadget id="calculator">299.25 / 11.25</gadget>
<output>26.6</output>
<result>B</result> | B | 26.6 | If 11.25 m of a uniform steel rod weighs 42.75 kg. what will be the weight of 7 m of the same rod? | {
"A": "22.8 kg",
"B": "26.6 kg",
"C": "28 kg",
"D": "26.5 kg",
"E": "none of these"
} | divide(multiply(7, 42.75), 11.25) | multiply(n1,n2)|divide(#0,n0)| | "explanation : let the required weight be x kg . then , less length , less weight ( direct proportion ) = > 11.25 : 7 : : 42.75 : x = > 11.25 x x = 7 x 42.75 = > x = ( 7 x 42.75 ) / 11.25 = > x = 26.6 answer : b" | physics |
math_qa__QEol4yS0rmVoDjpB | If a farmer wants to plough a farm field on time, he must plough 160 hectares a day. For technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. What is the area of the farm field and how many days the farmer planned to work initially? Answers
A) 600 B) 490 C) 448 D) 435 E) 679 | <gadget id="calculator">2 * 85</gadget>
<output>170</output>
<gadget id="calculator">40 + 170</gadget>
<output>210</output>
<gadget id="calculator">160 - 85</gadget>
<output>75</output>
<gadget id="calculator">210 / 75</gadget>
<output>14/5 = around 2.8</output>
<gadget id="calculator">(14/5) * 160</gadget>
<output>448</output>
<result>C</result> | C | 448 | If a farmer wants to plough a farm field on time, he must plough 160 hectares a day. For technical reasons he ploughed only 85 hectares a day, hence he had to plough 2 more days than he planned and he still has 40 hectares left. What is the area of the farm field and how many days the farmer planned to work initially? | {
"A": "600",
"B": "490",
"C": "448",
"D": "435",
"E": "679"
} | multiply(divide(add(40, multiply(2, 85)), subtract(160, 85)), 160) | multiply(n1,n2)|subtract(n0,n1)|add(n3,#0)|divide(#2,#1)|multiply(n0,#3)| | "let x be the number of days in the initial plan . therefore , the whole field is 160 â ‹ … x hectares . the farmer had to work for x + 2 days , and he ploughed 85 ( x + 2 ) hectares , leaving 40 hectares unploughed . then we have the equation : 160 x = 85 ( x + 2 ) + 40 75 x = 210 x = 2.8 so the farmer planned to have the work done in 6 days , and the area of the farm field is 160 ( 2.8 ) = 448 hectares correct answer c" | physics |
math_qa__YQBxn6qbdFNW7k7L | A chemist mixes one liter of pure water with x liters of a 60% salt solution, and the resulting mixture is a 10% salt solution. What is the value of x? Select the correct option:
A) 1 / 5 B) 1 / 3 C) 1 / 2 D) 1 E) 3 | <gadget id="calculator">60 - 10</gadget>
<output>50</output>
<gadget id="calculator">10 / 50</gadget>
<output>1/5 = around 0.2</output>
<result>A</result> | A | 0.2 | A chemist mixes one liter of pure water with x liters of a 60% salt solution, and the resulting mixture is a 10% salt solution. What is the value of x? | {
"A": "1 / 5",
"B": "1 / 3",
"C": "1 / 2",
"D": "1",
"E": "3"
} | divide(10, subtract(60, 10)) | subtract(n0,n1)|divide(n1,#0)| | "concentration of salt in pure solution = 0 concentration of salt in salt solution = 60 % concentration of salt in the mixed solution = 10 % the pure solution and the salt solution is mixed in the ratio of - - > ( 60 - 10 ) / ( 10 - 0 ) = 5 / 1 1 / x = 5 / 1 x = 1 / 5 answer : a" | gain |
math_qa__rzDFyFLb8MlAqb56 | Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 36 pages per hour. If Tom starts reading a novel at 4:00, and Jan begins reading an identical copy of the same book at 4:48, at what time will they be reading the same page? Options
A) 7 : 18 B) 7 : 48 C) 8 : 18 D) 8 : 48 E) 9 : 18 | <gadget id="calculator">4 - 4</gadget>
<output>0</output>
<gadget id="calculator">48 - 0</gadget>
<output>48</output>
<gadget id="calculator">48 / 60</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">0 + (4/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) * 30</gadget>
<output>24</output>
<gadget id="calculator">36 - 30</gadget>
<output>6</output>
<gadget id="calculator">24 / 6</gadget>
<output>4</output>
<gadget id="calculator">4 + 4</gadget>
<output>8</output>
<gadget id="calculator">8 / 48</gadget>
<output>1/6 = around 0.166667</output>
<result>D</result> | D | 0.166667 | Tom reads at an average rate of 30 pages per hour, while Jan reads at an average rate of 36 pages per hour. If Tom starts reading a novel at 4:00, and Jan begins reading an identical copy of the same book at 4:48, at what time will they be reading the same page? | {
"A": "7 : 18",
"B": "7 : 48",
"C": "8 : 18",
"D": "8 : 48",
"E": "9 : 18"
} | divide(add(4, divide(multiply(add(subtract(4, 4), divide(subtract(48, 00), const_60)), 30), subtract(36, 30))), 48) | subtract(n5,n3)|subtract(n4,n2)|subtract(n1,n0)|divide(#0,const_60)|add(#3,#1)|multiply(n0,#4)|divide(#5,#2)|add(n4,#6)|divide(#7,n5)| | "since tom reads an average of 1 page every 2 minutes , tom will read 24 pages in the first 48 minutes . jan can catch tom at a rate of 6 pages per hour , so it will take 4 hours to catch tom . the answer is d ." | general |
math_qa__jz4vNpj5Iv7wrQxZ | Bhatia, Ashtikar and Singh begin to play with Rs 70 each. At the end the ratio of the amounts left
with Ashtikar and Singh is 1 : 2 and of those with Singh and Bhatia is 4 : 1. What is Singh's gain
(in Rs)? Pick: A) 40 B) 45 C) 48 D) 50 E) 53 | <gadget id="calculator">70 * 3</gadget>
<output>210</output>
<gadget id="calculator">210 * 4</gadget>
<output>840</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">5 + 2</gadget>
<output>7</output>
<gadget id="calculator">840 / 7</gadget>
<output>120</output>
<gadget id="calculator">120 - 70</gadget>
<output>50</output>
<result>D</result> | D | 50 | Bhatia, Ashtikar and Singh begin to play with Rs 70 each. At the end the ratio of the amounts left
with Ashtikar and Singh is 1 : 2 and of those with Singh and Bhatia is 4 : 1. What is Singh's gain
(in Rs)? | {
"A": "40",
"B": "45",
"C": "48",
"D": "50",
"E": "53"
} | subtract(divide(multiply(multiply(70, const_3), 4), add(add(4, 1), 2)), 70) | add(n1,n3)|multiply(n0,const_3)|add(n2,#0)|multiply(n3,#1)|divide(#3,#2)|subtract(#4,n0) | we have b + a + s = 210 and s = 2 a , s = 4 b and a = 2 b solving these eqs we got that singh have rs . 120 in the end bhatia have 30 and astikar have 60 . so singh ' s profit is 120 - 70 = 50 answer : d | other |
math_qa__dLSE6FBQB5E24tOZ | The floor of a rectangular room is 19 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is :
Choose the correct choice from the following:
A) 144 m 2
B) 140 m 2
C) 108 m 2
D) 158 m 2
E) none of these | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 + 19</gadget>
<output>23</output>
<gadget id="calculator">12 + 4</gadget>
<output>16</output>
<gadget id="calculator">23 * 16</gadget>
<output>368</output>
<gadget id="calculator">19 * 12</gadget>
<output>228</output>
<gadget id="calculator">368 - 228</gadget>
<output>140</output>
<result>B</result> | B | 140 | The floor of a rectangular room is 19 m long and 12 m wide. The room is surrounded by a veranda of width 2 m on all its sides. The area of the veranda is : | {
"A": "144 m 2",
"B": "140 m 2",
"C": "108 m 2",
"D": "158 m 2",
"E": "none of these"
} | subtract(rectangle_area(add(multiply(2, 2), 19), add(12, multiply(2, 2))), rectangle_area(19, 12)) | multiply(n2,n2)|rectangle_area(n0,n1)|add(n0,#0)|add(n1,#0)|rectangle_area(#2,#3)|subtract(#4,#1)| | "area of the outer rectangle = 23 ã — 16 = 368 m 2 area of the inner rectangle = 19 ã — 12 = 228 m 2 required area = ( 368 â € “ 228 ) = 140 m 2 answer b" | geometry |
math_qa__0SQCn5zw5obf5XZ1 | The price of a TV was increased by 30 percent. The new price was then increased by 20 percent. A single increase of what percent is equivalent to these two successive increases?
Choose the correct choice from the following options:
A) 50 % B) 60 % C) 65 % D) 56 % E) 45 % | <gadget id="calculator">100 + 30</gadget>
<output>130</output>
<gadget id="calculator">130 / 100</gadget>
<output>13/10 = around 1.3</output>
<gadget id="calculator">20 + 100</gadget>
<output>120</output>
<gadget id="calculator">120 / 100</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">(13/10) * (6/5)</gadget>
<output>39/25 = around 1.56</output>
<gadget id="calculator">(39/25) - 1</gadget>
<output>14/25 = around 0.56</output>
<gadget id="calculator">(14/25) * 100</gadget>
<output>56</output>
<result>D</result> | D | 56 | The price of a TV was increased by 30 percent. The new price was then increased by 20 percent. A single increase of what percent is equivalent to these two successive increases? | {
"A": "50 %",
"B": "60 %",
"C": "65 %",
"D": "56 %",
"E": "45 %"
} | multiply(subtract(multiply(divide(add(const_100, 30), const_100), divide(add(20, const_100), const_100)), const_1), const_100) | add(n0,const_100)|add(n1,const_100)|divide(#0,const_100)|divide(#1,const_100)|multiply(#2,#3)|subtract(#4,const_1)|multiply(#5,const_100) | consider base price - $ 100 25 % increase = 1.30 * 100 = $ 130 another 20 % increase on new price = 1.2 * 130 = $ 156 so final price of radio - $ 156 therefore a 56 % increase correct option - d | gain |
math_qa__hzirYcaoWW2kz1UJ | A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 4320 interest. The principal amount borrowed by him was.
Choose the correct answer.
A) rs 14000 B) rs 15000 C) rs 12000 D) rs 17000 E) none of these | <gadget id="calculator">4_320 * 100</gadget>
<output>432_000</output>
<gadget id="calculator">12 * 3</gadget>
<output>36</output>
<gadget id="calculator">432_000 / 36</gadget>
<output>12_000</output>
<result>C</result> | C | 12,000 | A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 4320 interest. The principal amount borrowed by him was. | {
"A": "rs 14000",
"B": "rs 15000",
"C": "rs 12000",
"D": "rs 17000",
"E": "none of these"
} | divide(multiply(4320, const_100), multiply(12, 3)) | multiply(n2,const_100)|multiply(n0,n1)|divide(#0,#1)| | "explanation : s . i . = p â ˆ — r â ˆ — t / 100 = > p = s . i . â ˆ — 100 / r â ˆ — t = > p = 4320 â ˆ — 100 / 12 â ˆ — 3 = rs 12000 option c" | gain |
math_qa__fMKMpFES9cq1D6ul | Of 64 players on a cricket team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total? Choose the correct answer: A) 54 B) 55 C) 59 D) 71 E) 92 | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">64 - 37</gadget>
<output>27</output>
<gadget id="calculator">(2/3) * 27</gadget>
<output>18</output>
<gadget id="calculator">37 + 18</gadget>
<output>55</output>
<result>B</result> | B | 55 | Of 64 players on a cricket team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total? | {
"A": "54",
"B": "55",
"C": "59",
"D": "71",
"E": "92"
} | add(37, multiply(subtract(const_1, divide(const_1, const_3)), subtract(64, 37))) | divide(const_1,const_3)|subtract(n0,n1)|subtract(const_1,#0)|multiply(#2,#1)|add(n1,#3)| | "total = 64 thrower = 37 rest = 64 - 37 = 27 left handed = 27 / 3 = 9 right handed = 18 if all thrower are right handed then total right handed is 37 + 18 = 55 so b . 55 is the right answer" | general |
math_qa__9efAS3btvSDM89rM | Pipe A can fill a tank in 30 minutes. Pipe B can fill the same tank 6 times faster than pipe A. If both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow? Choose the correct choice from the following choices:
A) 4 minutes B) 15 / 4 minutes C) 192 / 7 minutes D) 224 / 7 minutes E) 28 minutes | <gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">6 / 30</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/30) + (1/5)</gadget>
<output>7/30 = around 0.233333</output>
<gadget id="calculator">(1/30) + (7/30)</gadget>
<output>4/15 = around 0.266667</output>
<gadget id="calculator">1 / (4/15)</gadget>
<output>15/4 = around 3.75</output>
<result>B</result> | B | 3.75 | Pipe A can fill a tank in 30 minutes. Pipe B can fill the same tank 6 times faster than pipe A. If both the pipes are connected to the tank so that they fill the tank simultaneously, how long will it take for the empty tank to overflow? | {
"A": "4 minutes",
"B": "15 / 4 minutes",
"C": "192 / 7 minutes",
"D": "224 / 7 minutes",
"E": "28 minutes"
} | inverse(add(divide(const_1, 30), add(divide(const_1, 30), divide(6, 30)))) | divide(const_1,n0)|divide(n1,n0)|add(#0,#1)|add(#2,#0)|inverse(#3)| | "pipe a can fill a tank in 30 minutes - - > the rate of a = 1 / 30 tank / minute ; pipe b can fill the same tank 6 times fasterthan pipe a - - > the rate of b = 1 / 30 + 6 / 30 = 7 / 30 tank / minute . their combined rate = 1 / 30 + 7 / 30 = 4 / 15 tank / minute ; therefore , a and b can fill the tank in 15 / 4 minutes . answer : b" | physics |
math_qa__9LlLXY4T6R4Quupf | If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 9 days, then C alone can do it in?
Answers: A) 11 B) 17 C) 18 D) 19 E) 16 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/4) - (1/12)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">(1/6) - (1/9)</gadget>
<output>1/18 = around 0.055556</output>
<gadget id="calculator">1 / (1/18)</gadget>
<output>18</output>
<result>C</result> | C | 18 | If A, B and C together can finish a piece of work in 4 days. A alone in 12 days and B in 9 days, then C alone can do it in? | {
"A": "11",
"B": "17",
"C": "18",
"D": "19",
"E": "16"
} | divide(const_1, subtract(subtract(const_0_25, divide(const_1, 12)), divide(const_1, 9))) | divide(const_1,n1)|divide(const_1,n2)|subtract(const_0_25,#0)|subtract(#2,#1)|divide(const_1,#3)| | "c = 1 / 4 - 1 / 12 – 1 / 9 = 1 / 18 = > 18 days ' answer : c" | physics |
math_qa__UyuAHDhqYbdMUXG7 | Michelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 6.4% interest compounded semiannually. The sum of money in the account on December 31st, 2009 is approximately what percent of the initial deposit? Choose the most appropriate option
A) 117 % B) 120 % C) 121 % D) 135 % E) 140 % | <gadget id="calculator">6.4 / 100</gadget>
<output>0.064</output>
<gadget id="calculator">0.064 / 2</gadget>
<output>0.032</output>
<gadget id="calculator">1 + 0.032</gadget>
<output>1.032</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">1.032 ** 5</gadget>
<output>1.170573</output>
<gadget id="calculator">1.170573 * 100</gadget>
<output>117.0573</output>
<result>A</result> | A | 117 | Michelle deposited a certain sum of money in a savings account on July 1st, 2007. She earns an 6.4% interest compounded semiannually. The sum of money in the account on December 31st, 2009 is approximately what percent of the initial deposit? | {
"A": "117 %",
"B": "120 %",
"C": "121 %",
"D": "135 %",
"E": "140 %"
} | multiply(power(add(const_1, divide(divide(6.4, const_100), const_2)), add(const_2, const_3)), const_100) | add(const_2,const_3)|divide(n2,const_100)|divide(#1,const_2)|add(#2,const_1)|power(#3,#0)|multiply(#4,const_100) | since michelle earns 6.4 % interest compounded semiannually , then she earns 3.2 % interest every 6 months . now , the simple interest earned in 5 periods ( 30 months = 5 * 6 months ) would be 3.2 % * 5 = 16 % . but , since the interest iscompoundedevery 6 months , then there would be interest earned on interest ( very small amount ) thus the actual interest earned would be a little bit more than 16 % , only answer choice a fits . answer : a | gain |
math_qa__EOh6rQvtOZO6fgi0 | A certain Maroon paint contains 50 percent blue pigment and 50 percent red pigment by weight. A certain green paint contains 30 percent blue pigment and 70 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight? Choose the correct choice from the following answers.
A) 3 B) 3.5 C) 2.5 D) 4 E) 4.5 | <gadget id="calculator">100 + 100</gadget>
<output>200</output>
<gadget id="calculator">50 / 200</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 10</gadget>
<output>5/2 = around 2.5</output>
<result>C</result> | C | 2.5 | A certain Maroon paint contains 50 percent blue pigment and 50 percent red pigment by weight. A certain green paint contains 30 percent blue pigment and 70 percent yellow pigment. When these paints are mixed to produce a brown paint, the brown paint contains 40 percent blue pigment. If the brown paint weighs 10 grams, then the red pigment contributes how many grams of that weight? | {
"A": "3",
"B": "3.5",
"C": "2.5",
"D": "4",
"E": "4.5"
} | multiply(divide(50, add(const_100, const_100)), const_10) | add(const_100,const_100)|divide(n0,#0)|multiply(#1,const_10) | 10 grams of combined mixture and 40 % blue pigment means that the mixtures were mixed 50 % each . thus 5 grams a piece . out of the 5 grams of the dark blue paint , 60 % is red . therefore , 5 * . 5 = 2.5 grams of red pigment | gain |
math_qa__UCNw0z2NAKgvuOwF | A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work? Options.
A) 25 days
B) 30 days
C) 23 days
D) 35 days
E) 45 days | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 14</gadget>
<output>1/14 = around 0.071429</output>
<gadget id="calculator">(1/10) - (1/14)</gadget>
<output>1/35 = around 0.028571</output>
<gadget id="calculator">1 / (1/35)</gadget>
<output>35</output>
<result>D</result> | D | 35 | A can do a work in 14 days and working together A and B can do the same work in 10 days. In what time can B alone do the work? | {
"A": "25 days",
"B": "30 days",
"C": "23 days",
"D": "35 days",
"E": "45 days"
} | divide(const_1, subtract(divide(const_1, 10), divide(const_1, 14))) | divide(const_1,n1)|divide(const_1,n0)|subtract(#0,#1)|divide(const_1,#2) | work done by b in 1 day = 1 / 10 - 1 / 14 = ( 7 - 5 ) / 70 = 1 / 35 so , b alone can do the work in 35 days . answer : d | physics |
math_qa__neZZz5tlHsSStp8N | If the average of 5 positive integers is 45 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers? Choose the correct choice from the following answers.
A) 50
B) 53
C) 49
D) 48
E) 44 | <gadget id="calculator">45 * 5</gadget>
<output>225</output>
<gadget id="calculator">225 - 10</gadget>
<output>215</output>
<gadget id="calculator">215 / 5</gadget>
<output>43</output>
<gadget id="calculator">43 + 10</gadget>
<output>53</output>
<result>B</result> | B | 53 | If the average of 5 positive integers is 45 and the difference between the largest and the smallest of these 5 numbers is 10, what is the maximum value possible for the largest of these 5 integers? | {
"A": "50",
"B": "53",
"C": "49",
"D": "48",
"E": "44"
} | add(divide(subtract(multiply(45, 5), 10), 5), 10) | multiply(n0,n1)|subtract(#0,n3)|divide(#1,n0)|add(n3,#2)| | "sum of 5 integer ( a , b , c , d , e ) = 5 * 45 = 225 e - a = 10 i . e . e = a + 10 for e to be maximum remaining 4 must be as small as possible since smallest of 5 numbers is a so to minimize other numbers we can take them equal to the smallest of 5 numbers i . e . a + a + a + a + ( a + 10 ) = 225 i . e . 5 a = 215 i . e . a = 43 i . e . largest e = 43 + 10 = 53 answer : option b" | general |
math_qa__Ks5EUfAlPVcXzI4P | Find the lowest common multiple of 24, 30 and 40.
Choose one:
A) 360 B) 420 C) 120 D) 320 E) 280 | <gadget id="calculator">lcm(24, 30)</gadget>
<output>120</output>
<gadget id="calculator">lcm(120, 40)</gadget>
<output>120</output>
<result>C</result> | C | 120 | Find the lowest common multiple of 24, 30 and 40. | {
"A": "360",
"B": "420",
"C": "120",
"D": "320",
"E": "280"
} | lcm(lcm(24, 30), 40) | lcm(n0,n1)|lcm(n2,#0)| | "lcm = 2 * 2 * 2 * 3 * 5 = 120 . answer is c" | general |
math_qa__XeyoK7qCgwRZdsOQ | A certain number when divided by 39 leaves a remainder 15, what is the remainder when the same number is divided by 13? Choose the correct choice from the following answers: A) 7 B) 8 C) 9 D) 6 E) 2 | <gadget id="calculator">15 % 13</gadget>
<output>2</output>
<result>E</result> | E | 2 | A certain number when divided by 39 leaves a remainder 15, what is the remainder when the same number is divided by 13? | {
"A": "7",
"B": "8",
"C": "9",
"D": "6",
"E": "2"
} | reminder(15, 13) | reminder(n1,n2)| | "explanation : 39 + 15 = 54 / 13 = 2 ( remainder ) answer : e" | general |
math_qa__V4sLXLyHjFbhvGgd | A cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 8 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled? Pick:
A) 5.2 hrs
B) 13.3 hrs
C) 1.9 hrs
D) 7.2 hrs
E) 1.4 hrs | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/5) - (1/8)</gadget>
<output>3/40 = around 0.075</output>
<gadget id="calculator">1 / (3/40)</gadget>
<output>40/3 = around 13.333333</output>
<result>B</result> | B | 13.3 | A cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 8 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled? | {
"A": "5.2 hrs",
"B": "13.3 hrs",
"C": "1.9 hrs",
"D": "7.2 hrs",
"E": "1.4 hrs"
} | divide(const_1, subtract(divide(const_1, 5), divide(const_1, 8))) | divide(const_1,n0)|divide(const_1,n1)|subtract(#0,#1)|divide(const_1,#2)| | "net part filled in 1 hour = ( 1 / 5 - 1 / 8 ) = 3 / 40 the cistern will be filled in 40 / 3 hrs i . e . , 13.3 hrs . answer : b" | physics |
math_qa__awy7AQ4WcrM4XfBH | a, b, and c are integers and a<b<c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)*b. The median of set Q is (4/8)*c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R? Choose the correct answer
A) 2 / 5 B) 1 / 2 C) 11 / 16 D) 5 / 7 E) 3 / 4 | <gadget id="calculator">4 / 8</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 2</gadget>
<output>1</output>
<gadget id="calculator">1 - 1</gadget>
<output>0</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) * 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) - 1</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / (1/2)</gadget>
<output>2</output>
<gadget id="calculator">0 / 2</gadget>
<output>0</output>
<gadget id="calculator">1 + 0</gadget>
<output>1</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<result>B</result> | B | 0.5 | a, b, and c are integers and a<b<c. S is the set of all integers from a to b, inclusive. Q is the set of all integers from b to c, inclusive. The median of set S is (3/4)*b. The median of set Q is (4/8)*c. If R is the set of all integers from a to c, inclusive, what fraction of c is the median of set R? | {
"A": "2 / 5",
"B": "1 / 2",
"C": "11 / 16",
"D": "5 / 7",
"E": "3 / 4"
} | divide(add(const_1, divide(subtract(multiply(divide(4, 8), const_2), const_1), divide(const_1, subtract(multiply(divide(3, 4), const_2), const_1)))), const_2) | divide(n2,n3)|divide(n0,n1)|multiply(#0,const_2)|multiply(#1,const_2)|subtract(#2,const_1)|subtract(#3,const_1)|divide(const_1,#5)|divide(#4,#6)|add(#7,const_1)|divide(#8,const_2)| | "the answer isc : 11 / 16 . the key to this problem is remembering that the median for a consecutive set of numbers is equivalent to its mean . for example , the mean and median of a set consisting of x , x + 1 , x + 2 , . . . , y will always be ( x + y ) / 2 . for set s , consisting of numbers ( a , a + 1 , . . . , b ) , the median is given to be 3 / 4 * b : ( a + b ) / 2 = ( 3 / 4 ) * b a = b / 2 for set q , consisting of numbers ( b , b + 1 , . . . , c ) , the median is given to be 4 / 8 * c : ( b + c ) / 2 = ( 4 / 8 ) * c b = 0 for set r , consisting of numbers ( a , a + 1 , . . . c ) , the median needs to be found : a = b / 2 = ( 0 ) / 2 = 0 median = ( a + c ) / 2 = ( 0 + c ) / 2 = c / 2 = ( 1 / 2 ) * c ( answer b )" | general |
math_qa__2SsYVjpZrCoZ3bx6 | A person lent a certain sum of money at 5% per annum at simple interest and in 8 years the interest amounted to $360 less than the sum lent. What was the sum lent? Choose the correct answer.
A) 540
B) 560
C) 580
D) 600
E) 680 | <gadget id="calculator">5 * 8</gadget>
<output>40</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">360 / (3/5)</gadget>
<output>600</output>
<result>D</result> | D | 600 | A person lent a certain sum of money at 5% per annum at simple interest and in 8 years the interest amounted to $360 less than the sum lent. What was the sum lent? | {
"A": "540",
"B": "560",
"C": "580",
"D": "600",
"E": "680"
} | divide(360, subtract(const_1, divide(multiply(5, 8), const_100))) | multiply(n0,n1)|divide(#0,const_100)|subtract(const_1,#1)|divide(n2,#2)| | "p - 360 = ( p * 5 * 8 ) / 100 p = 600 the answer is d ." | gain |
math_qa__OhiHU5jqZiz8LZV0 | There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more? Pick one.
A) 11 B) 40 C) 66 D) 55 E) 44 | <gadget id="calculator">22 - 2</gadget>
<output>20</output>
<gadget id="calculator">760 * 20</gadget>
<output>15_200</output>
<gadget id="calculator">15_200 / 19</gadget>
<output>800</output>
<gadget id="calculator">800 - 760</gadget>
<output>40</output>
<result>B</result> | B | 40 | There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 19 days more? | {
"A": "11",
"B": "40",
"C": "66",
"D": "55",
"E": "44"
} | subtract(divide(multiply(760, subtract(22, const_2)), 19), 760) | subtract(n1,const_2)|multiply(n0,#0)|divide(#1,n2)|subtract(#2,n0)| | "760 - - - - 22 760 - - - - 20 x - - - - - 19 x * 19 = 760 * 20 x = 800 760 - - - - - - - 40 answer : b" | physics |
math_qa__5iCLHwhb3izo5pbi | Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 25% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate? Select: A) 28 % B) 30 % C) 32 % D) 34 % E) 36 % | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">4 * (1/4)</gadget>
<output>1</output>
<gadget id="calculator">(2/5) + 1</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">(7/5) / 5</gadget>
<output>7/25 = around 0.28</output>
<gadget id="calculator">100 * (7/25)</gadget>
<output>28</output>
<result>A</result> | A | 28 | Because he’s taxed by his home planet, Mork pays a tax rate of 40% on his income, while Mindy pays a rate of only 25% on hers. If Mindy earned 4 times as much as Mork did, what was their combined tax rate? | {
"A": "28 %",
"B": "30 %",
"C": "32 %",
"D": "34 %",
"E": "36 %"
} | multiply(const_100, divide(add(divide(40, const_100), multiply(4, divide(25, const_100))), add(const_1, 4))) | add(n2,const_1)|divide(n0,const_100)|divide(n1,const_100)|multiply(n2,#2)|add(#1,#3)|divide(#4,#0)|multiply(#5,const_100)| | "let x be mork ' s income , then mindy ' s income is 4 x . the total tax paid is 0.4 x + 1.0 x = 1.4 x 1.4 x / 5 x = 0.28 the answer is a ." | gain |
math_qa__uIT5kaMHRlsfx9nZ | The temperature of a certain cup of coffee 5 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F = 120*2^(-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 30 minutes after it was poured was how many degrees Fahrenheit? Select
A) 65 B) 61.875 C) 80 D) 85 E) 90 | <gadget id="calculator">60 / 5</gadget>
<output>12</output>
<gadget id="calculator">1 - 2</gadget>
<output>-1</output>
<gadget id="calculator">12 * (-1)</gadget>
<output>-12</output>
<gadget id="calculator">2 ** (-12)</gadget>
<output>1/4_096 = around 0.000244</output>
<gadget id="calculator">(1/4_096) * 120</gadget>
<output>15/512 = around 0.029297</output>
<gadget id="calculator">(15/512) + 60</gadget>
<output>30_735/512 = around 60.029297</output>
<result>B</result> | B | 61.875 | The temperature of a certain cup of coffee 5 minutes after it was poured was 120 degrees Fahrenheit. If the temperature F of the coffee t minutes after it was poured can be determined by the formula F = 120*2^(-at) + 60, where F is in degrees Fahrenheit and a is a constant. Then the temperature of the coffee 30 minutes after it was poured was how many degrees Fahrenheit? | {
"A": "65",
"B": "61.875",
"C": "80",
"D": "85",
"E": "90"
} | add(multiply(power(2, multiply(divide(60, 5), subtract(const_1, 2))), 120), 60) | divide(n4,n0)|subtract(const_1,n3)|multiply(#0,#1)|power(n3,#2)|multiply(n1,#3)|add(n4,#4)| | "first , we have to find a . we know that after t = 5 minutes the temperature f = 120 degrees . hence : 120 = 120 * ( 2 ^ - 5 a ) + 60 60 = 120 * ( 2 ^ - 5 a ) 60 / 120 = 2 ^ - 5 a 1 / 2 = 2 ^ - 5 a 2 ^ - 1 = 2 ^ - 5 a - 1 = - 5 a 1 / 5 = a now we need to find f after t = 30 minutes : f = 120 * ( 2 ^ - 1 / 5 * 30 ) + 60 f = 120 * ( 2 ^ - 6 ) + 60 f = 120 * ( 1 / 2 ^ 6 ) + 60 f = 120 * 1 / 64 + 60 f = 1.875 + 60 = 61.875 answer b !" | general |
math_qa__tqbtFqoLVLIB2CyV | A pupil's marks were wrongly entered as 73 instead of 45. Due to that the average marks for the class got increased by half. The number of pupils in the class is : Choose the correct answer.
A) 56 B) 80 C) 20 D) 25 E) 26 | <gadget id="calculator">73 - 45</gadget>
<output>28</output>
<gadget id="calculator">28 * 2</gadget>
<output>56</output>
<result>A</result> | A | 56 | A pupil's marks were wrongly entered as 73 instead of 45. Due to that the average marks for the class got increased by half. The number of pupils in the class is : | {
"A": "56",
"B": "80",
"C": "20",
"D": "25",
"E": "26"
} | multiply(subtract(73, 45), const_2) | subtract(n0,n1)|multiply(#0,const_2)| | "let there be x pupils in the class . total increase in marks = ( x * 1 / 2 ) = x / 2 . x / 2 = ( 73 - 45 ) = > x / 2 = 28 = > x = 56 . answer : a" | general |
math_qa__ihyEChtyloxureTt | The average of 6 no.'s is 5.40. The average of 2 of them is 5.2, while the average of the other 2 is 5.80. What is the average of the remaining 2 no's? Choose the correct choice from the following
A) 5.2 B) 2.6 C) 3.6 D) 4.5 E) 4.6 | <gadget id="calculator">6 * 5.4</gadget>
<output>32.4</output>
<gadget id="calculator">2 * 5.2</gadget>
<output>10.4</output>
<gadget id="calculator">2 * 5.8</gadget>
<output>11.6</output>
<gadget id="calculator">10.4 + 11.6</gadget>
<output>22</output>
<gadget id="calculator">32.4 - 22</gadget>
<output>10.4</output>
<gadget id="calculator">10.4 / 2</gadget>
<output>5.2</output>
<result>A</result> | A | 5.2 | The average of 6 no.'s is 5.40. The average of 2 of them is 5.2, while the average of the other 2 is 5.80. What is the average of the remaining 2 no's? | {
"A": "5.2",
"B": "2.6",
"C": "3.6",
"D": "4.5",
"E": "4.6"
} | divide(subtract(multiply(6, 5.40), add(multiply(2, 5.2), multiply(2, 5.80))), 2) | multiply(n0,n1)|multiply(n2,n3)|multiply(n2,n5)|add(#1,#2)|subtract(#0,#3)|divide(#4,n2)| | "sum of the remaining two numbers = ( 5.40 * 6 ) - [ ( 5.2 * 2 ) + ( 5.8 * 2 ) ] = 32.40 - ( 10.4 + 11.6 ) = 32.40 - 22.0 = 10.40 . required average = ( 10.4 / 2 ) = 5.2 answer : a" | general |
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