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stringlengths 7
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math_qa__mc5hdnakm5Yi4UBI | At what rate percent on simple interest will Rs.750 amount to Rs.1050 in 5 years?
Choose the most appropriate option: A) 8 B) 3 C) 4 D) 5 E) 6 | <gadget id="calculator">1_050 - 750</gadget>
<output>300</output>
<gadget id="calculator">300 / 750</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) / 5</gadget>
<output>2/25 = around 0.08</output>
<gadget id="calculator">(2/25) * 100</gadget>
<output>8</output>
<result>A</result> | A | 8 | At what rate percent on simple interest will Rs.750 amount to Rs.1050 in 5 years? | {
"A": "8",
"B": "3",
"C": "4",
"D": "5",
"E": "6"
} | multiply(divide(divide(subtract(1050, 750), 750), 5), const_100) | subtract(n1,n0)|divide(#0,n0)|divide(#1,n2)|multiply(#2,const_100)| | "300 = ( 750 * 5 * r ) / 100 r = 8 % . answer : a" | gain |
math_qa__kpWxp03CGFEcGPSb | A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.11 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost? Select:
A) 1276
B) 1200
C) 2832
D) 1299
E) 1320 | <gadget id="calculator">1_200 / 30</gadget>
<output>40</output>
<gadget id="calculator">30 + 40</gadget>
<output>70</output>
<gadget id="calculator">30 ** 2</gadget>
<output>900</output>
<gadget id="calculator">40 ** 2</gadget>
<output>1_600</output>
<gadget id="calculator">900 + 1_600</gadget>
<output>2_500</output>
<gadget id="calculator">2_500 ** (1/2)</gadget>
<output>50</output>
<gadget id="calculator">70 + 50</gadget>
<output>120</output>
<gadget id="calculator">120 * 11</gadget>
<output>1_320</output>
<result>E</result> | E | 1,320 | A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.11 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost? | {
"A": "1276",
"B": "1200",
"C": "2832",
"D": "1299",
"E": "1320"
} | multiply(add(add(30, divide(1200, 30)), sqrt(add(power(30, 2), power(divide(1200, 30), 2)))), 11) | divide(n1,n3)|power(n3,n2)|add(n3,#0)|power(#0,n2)|add(#1,#3)|sqrt(#4)|add(#2,#5)|multiply(n0,#6)| | "explanation : l * 30 = 1200 è l = 40 40 + 30 + 50 = 120 120 * 11 = 1320 answer : option e" | geometry |
math_qa__zmAXt7s17AAbGWbo | A call center has two teams. Each member of Team A was able to process 3/5 calls as compared to each member of Team B. If Team A has 5/8 as many number of call center agents as Team B, what fraction of the total calls was processed by Team B?
Pick:
A) 3 / 2 B) 3 / 4 C) 8 / 11 D) 1 / 2 E) 1 / 5 | <gadget id="calculator">8 * 5</gadget>
<output>40</output>
<gadget id="calculator">5 * 3</gadget>
<output>15</output>
<gadget id="calculator">40 + 15</gadget>
<output>55</output>
<gadget id="calculator">40 / 55</gadget>
<output>8/11 = around 0.727273</output>
<result>C</result> | C | 0.727273 | A call center has two teams. Each member of Team A was able to process 3/5 calls as compared to each member of Team B. If Team A has 5/8 as many number of call center agents as Team B, what fraction of the total calls was processed by Team B? | {
"A": "3 / 2",
"B": "3 / 4",
"C": "8 / 11",
"D": "1 / 2",
"E": "1 / 5"
} | divide(multiply(8, 5), add(multiply(8, 5), multiply(5, 3))) | multiply(n1,n3)|multiply(n0,n1)|add(#0,#1)|divide(#0,#2)| | "let team b has 8 agents , so team a has 5 agents let each agent of team b picked up 5 calls , so total calls by team b = 40 so , each agent in team a picked up 3 calls , so total calls for team a = 15 fraction for team b = 40 / ( 40 + 15 ) = 8 / 11 = answer = c" | general |
math_qa__brO6q1U44ZP1TLFs | Jill invests $10000 in an account that pays an annual rate of 3.96%, compounding semi-annually. Approximately how much R does she have in her account after two years?
Pick one
A) $ 10079.44
B) r = $ 10815.83
C) $ 12652.61
D) $ 14232.14
E) $ 20598.11 | <gadget id="calculator">3.96 / 100</gadget>
<output>0.0396</output>
<gadget id="calculator">0.0396 / 2</gadget>
<output>0.0198</output>
<gadget id="calculator">1 + 0.0198</gadget>
<output>1.0198</output>
<gadget id="calculator">1.0198 ** 4</gadget>
<output>1.081583</output>
<gadget id="calculator">10_000 * 1.081583</gadget>
<output>10_815.83</output>
<result>B</result> | B | 10,815.83 | Jill invests $10000 in an account that pays an annual rate of 3.96%, compounding semi-annually. Approximately how much R does she have in her account after two years? | {
"A": "$ 10079.44",
"B": "r = $ 10815.83",
"C": "$ 12652.61",
"D": "$ 14232.14",
"E": "$ 20598.11"
} | multiply(10000, power(add(const_1, divide(divide(3.96, const_100), const_2)), const_4)) | divide(n1,const_100)|divide(#0,const_2)|add(#1,const_1)|power(#2,const_4)|multiply(n0,#3)| | "ps . i guess one can use simple interest to solve cause the answer choices are quite spread between you can easily arrive at something near 8 % hence b the answer" | gain |
math_qa__rGV5PvO0VBJyY2Yt | Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $71.4 after it went on sale for 15% off, what is the difference between the original price and the final price? Pick one:
A) $ 5.625 B) $ 1.00 C) $ 3.40 D) $ 5.25 E) $ 6.80 | <gadget id="calculator">100 + 25</gadget>
<output>125</output>
<gadget id="calculator">125 / 100</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">71.4 * (5/4)</gadget>
<output>89.25</output>
<gadget id="calculator">100 - 15</gadget>
<output>85</output>
<gadget id="calculator">85 / 100</gadget>
<output>17/20 = around 0.85</output>
<gadget id="calculator">71.4 / (17/20)</gadget>
<output>84</output>
<gadget id="calculator">89.25 - 84</gadget>
<output>5.25</output>
<result>D</result> | D | 5.25 | Cindy has her eye on a sundress but thinks it is too expensive. It goes on sale for 15% less than the original price. Before Cindy can buy the dress, however, the store raises the new price by 25%. If the dress cost $71.4 after it went on sale for 15% off, what is the difference between the original price and the final price? | {
"A": "$ 5.625",
"B": "$ 1.00",
"C": "$ 3.40",
"D": "$ 5.25",
"E": "$ 6.80"
} | subtract(multiply(71.4, divide(add(const_100, 25), const_100)), divide(71.4, divide(subtract(const_100, 15), const_100))) | add(n1,const_100)|subtract(const_100,n0)|divide(#0,const_100)|divide(#1,const_100)|divide(n2,#3)|multiply(n2,#2)|subtract(#5,#4)| | "0.85 * { original price } = $ 71.4 - - > { original price } = $ 84 . { final price } = $ 71.4 * 1.25 = $ 89.25 . the difference = $ 89.25 - $ 84 = $ 5.25 answer : d ." | general |
math_qa__ZPgGksdUiZRzURRR | (1/5)^e * (1/4)^18 = 1/(2(10)^35). What is e? Pick one
A) 17 B) 18 C) 34 D) 35 E) 36 | <gadget id="calculator">35 / 1</gadget>
<output>35</output>
<result>D</result> | D | 35 | (1/5)^e * (1/4)^18 = 1/(2(10)^35). What is e? | {
"A": "17",
"B": "18",
"C": "34",
"D": "35",
"E": "36"
} | divide(35, 1) | divide(n8,n0) | we need to arrive at a common base . - - > ( 5 ) ^ ( - e ) * 2 ^ ( - 36 ) = 2 ^ ( - 36 ) * 5 ^ ( - 35 ) 5 ^ ( - e ) = 5 ^ ( - 35 ) - e = - 35 e = 35 = d | general |
math_qa__zTKX6Xqa65NWD9xZ | I bought two books; for Rs.360. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss? Choose the correct choice from the following answers
A) 197 B) 210 C) 189 D) 278 E) 268 | <gadget id="calculator">100 + 19</gadget>
<output>119</output>
<gadget id="calculator">360 * 119</gadget>
<output>42_840</output>
<gadget id="calculator">100 - 15</gadget>
<output>85</output>
<gadget id="calculator">85 + 119</gadget>
<output>204</output>
<gadget id="calculator">42_840 / 204</gadget>
<output>210</output>
<result>B</result> | B | 210 | I bought two books; for Rs.360. I sold one at a loss of 15% and other at a gain of 19% and then I found each book was sold at the same price. Find the cost of the book sold at a loss? | {
"A": "197",
"B": "210",
"C": "189",
"D": "278",
"E": "268"
} | divide(multiply(360, add(const_100, 19)), add(subtract(const_100, 15), add(const_100, 19))) | add(n2,const_100)|subtract(const_100,n1)|add(#0,#1)|multiply(n0,#0)|divide(#3,#2)| | "x * ( 85 / 100 ) = ( 360 - x ) 119 / 100 x = 210 answer : b" | gain |
math_qa__aqAS4pjYSHaOrPNl | |13 - 3| - |4 - 10| = ? Choose the correct option
A) 3
B) 2
C) 1
D) 0
E) 4 | <gadget id="calculator">13 - 3</gadget>
<output>10</output>
<gadget id="calculator">10 - 4</gadget>
<output>6</output>
<gadget id="calculator">10 - 6</gadget>
<output>4</output>
<result>E</result> | E | 4 | |13 - 3| - |4 - 10| = ? | {
"A": "3",
"B": "2",
"C": "1",
"D": "0",
"E": "4"
} | subtract(subtract(13, 3), subtract(10, 4)) | subtract(n0,n1)|subtract(n3,n2)|subtract(#0,#1)| | "| 13 - 3 | - | 4 - 10 | = | 10 | - | - 6 | = 10 - 6 = 4 correct answer e" | general |
math_qa__jlH1W6hEU314gRU6 | Increasing the original price of an article by 6 percent and then increasing the new price by 6 percent is equivalent to increasing the original price by Choose the correct choice from the following choices.
A) 12.1 % B) 12.36 % C) 12.94 % D) 13.65 % E) 14.56 % | <gadget id="calculator">6 / 100</gadget>
<output>3/50 = around 0.06</output>
<gadget id="calculator">1 + (3/50)</gadget>
<output>53/50 = around 1.06</output>
<gadget id="calculator">(53/50) * (53/50)</gadget>
<output>2_809/2_500 = around 1.1236</output>
<gadget id="calculator">(2_809/2_500) - 1</gadget>
<output>309/2_500 = around 0.1236</output>
<gadget id="calculator">100 * (309/2_500)</gadget>
<output>309/25 = around 12.36</output>
<result>B</result> | B | 12.36 | Increasing the original price of an article by 6 percent and then increasing the new price by 6 percent is equivalent to increasing the original price by | {
"A": "12.1 %",
"B": "12.36 %",
"C": "12.94 %",
"D": "13.65 %",
"E": "14.56 %"
} | multiply(const_100, subtract(multiply(add(const_1, divide(6, const_100)), add(const_1, divide(6, const_100))), const_1)) | divide(n0,const_100)|add(#0,const_1)|multiply(#1,#1)|subtract(#2,const_1)|multiply(#3,const_100) | 1.06 * 1.06 * x = 1.1236 * x the answer is b . | gain |
math_qa__FpEL2NUV2rVOcBe2 | the monthly salaries of 6 employees in a company are $ 1000 , $ 2500 , $ 3100 , $ 3650 , $ 1500 , $ 2000 . what is the mean of the salaries of 6 employees .
Choose the correct answer:
A) $ 2291.7
B) $ 1546.8
C) $ 2546.5
D) $ 1879.3
E) $ 3125.3 | <gadget id="calculator">1_000 + 2_500</gadget>
<output>3_500</output>
<gadget id="calculator">3_500 + 3_100</gadget>
<output>6_600</output>
<gadget id="calculator">6_600 + 3_650</gadget>
<output>10_250</output>
<gadget id="calculator">10_250 + 1_500</gadget>
<output>11_750</output>
<gadget id="calculator">11_750 + 2_000</gadget>
<output>13_750</output>
<gadget id="calculator">13_750 / 6</gadget>
<output>6_875/3 = around 2_291.666667</output>
<result>A</result> | A | 2,291.7 | the monthly salaries of 6 employees in a company are $ 1000 , $ 2500 , $ 3100 , $ 3650 , $ 1500 , $ 2000 . what is the mean of the salaries of 6 employees . | {
"A": "$ 2291.7",
"B": "$ 1546.8",
"C": "$ 2546.5",
"D": "$ 1879.3",
"E": "$ 3125.3"
} | divide(add(add(add(add(add(1000, 2500), 3100), 3650), 1500), 2000), 6) | add(n1,n2)|add(n3,#0)|add(n4,#1)|add(n5,#2)|add(n6,#3)|divide(#4,n0) | mean of the salaries = ( $ 1000 + $ 2500 + $ 3100 + $ 3650 + $ 1500 + $ 2000 ) / 6 = 13750 / 6 = $ 2291.7 answer is a | general |
math_qa__XKEQ1DoePu2XE1XY | The area of a square is 4489 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square. Choose the most appropriate option.
A) 5 : 28 B) 5 : 19 C) 5 : 12 D) 5 : 13 E) 43 : 134 | <gadget id="calculator">4_489 ** (1/2)</gadget>
<output>67</output>
<gadget id="calculator">67 - 24</gadget>
<output>43</output>
<gadget id="calculator">67 * 2</gadget>
<output>134</output>
<gadget id="calculator">43 / 134</gadget>
<output>43/134 = around 0.320896</output>
<result>E</result> | E | 0.320896 | The area of a square is 4489 sq cm. Find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square. | {
"A": "5 : 28",
"B": "5 : 19",
"C": "5 : 12",
"D": "5 : 13",
"E": "43 : 134"
} | divide(subtract(sqrt(4489), 24), multiply(sqrt(4489), const_2)) | sqrt(n0)|multiply(#0,const_2)|subtract(#0,n1)|divide(#2,#1)| | "let the length and the breadth of the rectangle be l cm and b cm respectively . let the side of the square be a cm . a 2 = 4489 a = 67 l = 2 a and b = a - 24 b : l = a - 24 : 2 a = 43 : 134 answer : e" | geometry |
math_qa__6HWx1NUfZt4A2ufe | A rectangular cube has sides measuring 3 inches long by 2 inches wide by 0.5 inches high. If the surface area of the rectangle is the same as a cube, what do the sides/walls of the cube measure? Round to the nearest whole number. Choose the correct choice from the following answers.
A) 4 B) 5 C) 6 D) 7 E) 2 | <gadget id="calculator">2 * (3 * 2 + 2 * 0.5 + 3 * 0.5)</gadget>
<output>17</output>
<gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">17 / 6</gadget>
<output>17/6 = around 2.833333</output>
<gadget id="calculator">floor(17/6)</gadget>
<output>2</output>
<result>E</result> | E | 2 | A rectangular cube has sides measuring 3 inches long by 2 inches wide by 0.5 inches high. If the surface area of the rectangle is the same as a cube, what do the sides/walls of the cube measure? Round to the nearest whole number. | {
"A": "4",
"B": "5",
"C": "6",
"D": "7",
"E": "2"
} | floor(divide(surface_rectangular_prism(3, 2, 0.5), multiply(const_2, const_3))) | multiply(const_2,const_3)|surface_rectangular_prism(n0,n1,n2)|divide(#1,#0)|floor(#2) | first calculate the surface area of the rectangle by multiplying the length and width of the rectangle together , then multiply by 2 to get both sides of the rectangle . this calculates to 12 inches . find the surface area of the sides of the rectangular cube . multiply the height by the length of the rectangle . multiply the answer by 2 ( for the 2 sides on the rectangular cube ) . this calculates to 3 inches . then multiply the width of the rectangle by the height . multiply the answer by 2 ( for the 2 sides on the rectangular cube ) . this calculates to 2 inches . add the totals together to get the rectangular cube surface area of 17 inches . since a square cube has 6 sides , divide the surface area by 6 . this calculates to 2.833 inches as the surface area of each side of the cube . the square root of 2.833 is 1.683 . rounding to the nearest whole number that makes each side of the cube measuring 2 inches . the correct answer is ( e ) . | geometry |
math_qa__sb64Fdff2GI7oVll | A business executive and his client are charging their dinner tab on the executive's expense account.The company will only allow them to spend a total of 100$ for the meal.Assuming that they will pay 7% in sales tax for the meal and leave a 15% tip,what is the most their food can cost? Choose the correct choice from the following options
A) 79.55 $
B) 80.63 $
C) 81.63 $
D) 80.27 $
E) 83.15 $ | <gadget id="calculator">7 + 15</gadget>
<output>22</output>
<gadget id="calculator">22 / 100</gadget>
<output>11/50 = around 0.22</output>
<gadget id="calculator">(11/50) + 1</gadget>
<output>61/50 = around 1.22</output>
<gadget id="calculator">100 / (61/50)</gadget>
<output>5_000/61 = around 81.967213</output>
<result>D</result> | D | 80.27 | A business executive and his client are charging their dinner tab on the executive's expense account.The company will only allow them to spend a total of 100$ for the meal.Assuming that they will pay 7% in sales tax for the meal and leave a 15% tip,what is the most their food can cost? | {
"A": "79.55 $",
"B": "80.63 $",
"C": "81.63 $",
"D": "80.27 $",
"E": "83.15 $"
} | divide(100, add(divide(add(7, 15), const_100), const_1)) | add(n1,n2)|divide(#0,const_100)|add(#1,const_1)|divide(n0,#2)| | "let x is the cost of the food 1.07 x is the gross bill after including sales tax 1.15 * 1.07 x = 100 x = 81.27 hence , the correct option is d" | general |
math_qa__sWzfjBx3RwFcx04q | A garrison of 2000 men has provisions for 54 days. At the end of 21 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement? Choose the correct choice from the following answers
A) 1977 B) 1893 C) 1979 D) 1900 E) 1300 | <gadget id="calculator">2_000 * 54</gadget>
<output>108_000</output>
<gadget id="calculator">2_000 * 21</gadget>
<output>42_000</output>
<gadget id="calculator">108_000 - 42_000</gadget>
<output>66_000</output>
<gadget id="calculator">66_000 / 20</gadget>
<output>3_300</output>
<gadget id="calculator">3_300 - 2_000</gadget>
<output>1_300</output>
<result>E</result> | E | 1,300 | A garrison of 2000 men has provisions for 54 days. At the end of 21 days, a reinforcement arrives, and it is now found that the provisions will last only for 20 days more. What is the reinforcement? | {
"A": "1977",
"B": "1893",
"C": "1979",
"D": "1900",
"E": "1300"
} | subtract(divide(subtract(multiply(2000, 54), multiply(2000, 21)), 20), 2000) | multiply(n0,n1)|multiply(n0,n2)|subtract(#0,#1)|divide(#2,n3)|subtract(#3,n0)| | "2000 - - - - 54 2000 - - - - 33 x - - - - - 20 x * 20 = 2000 * 33 x = 3300 2000 - - - - - - - 1300 answer : e" | physics |
math_qa__Oo3IvirfaHQoqPKV | A person buys an article at $200. At what price should he sell the article so as to make a profit of 10%? Choose the correct choice from the following answers
A) 240 B) 260 C) 220 D) 300 E) 360 | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">200 * (1/10)</gadget>
<output>20</output>
<gadget id="calculator">200 + 20</gadget>
<output>220</output>
<result>C</result> | C | 220 | A person buys an article at $200. At what price should he sell the article so as to make a profit of 10%? | {
"A": "240",
"B": "260",
"C": "220",
"D": "300",
"E": "360"
} | add(200, multiply(200, divide(10, const_100))) | divide(n1,const_100)|multiply(n0,#0)|add(n0,#1)| | "c 220 cost price = $ 200 profit = 10 % of 200 = $ 20 selling price = cost price + profit = 200 + 20 = 220" | gain |
math_qa__35NBX7eBDIPTrG9q | If the speed of a man is 66 km per hour, then what is the distance traveled by him in 30 seconds ?
Choose the correct choice from the following answers:
A) 550 m
B) 500 m
C) 375 m
D) 420 m
E) 440 m | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">66 * (5/18)</gadget>
<output>55/3 = around 18.333333</output>
<gadget id="calculator">(55/3) * 30</gadget>
<output>550</output>
<result>A</result> | A | 550 | If the speed of a man is 66 km per hour, then what is the distance traveled by him in 30 seconds ? | {
"A": "550 m",
"B": "500 m",
"C": "375 m",
"D": "420 m",
"E": "440 m"
} | multiply(multiply(66, const_0_2778), 30) | multiply(n0,const_0_2778)|multiply(n1,#0)| | "the distance traveled in 30 sec = 66 * ( 5 / 18 ) * 30 = 550 m answer : a" | physics |
math_qa__Js5D4RLFEgywZoT4 | When positive integer x is divided by positive integer y, the remainder is 6. If x/y = 6.12, what is the value of y? Choose the correct choice from the following options:
A) 96
B) 75
C) 50
D) 25
E) 12 | <gadget id="calculator">floor(6.12)</gadget>
<output>6</output>
<gadget id="calculator">6.12 - 6</gadget>
<output>0.12</output>
<gadget id="calculator">6 / 0.12</gadget>
<output>50</output>
<result>C</result> | C | 50 | When positive integer x is divided by positive integer y, the remainder is 6. If x/y = 6.12, what is the value of y? | {
"A": "96",
"B": "75",
"C": "50",
"D": "25",
"E": "12"
} | divide(6, subtract(6.12, floor(6.12))) | floor(n1)|subtract(n1,#0)|divide(n0,#1)| | "guys , one more simple funda . 5 / 2 = 2.5 now . 5 x 2 = 1 is the remainder 25 / 4 = 6.25 now . 25 x 4 = 1 is the remainder 32 / 5 = 6.4 now . 4 x 5 = 2 is the remainder given x / y = 6.12 and remainder is 6 so . 12 x y = 6 hence y = 50 ans c" | general |
math_qa__7D1ZaTw8wDtROk9B | Two identical trains AA and BB running in opposite direction at same speed tale 2 min to cross each other completely. The number of bogies of AA are increased from 12 to 16. How much more time would they now require to cross each other? Choose one:
A) 40 sec B) 50 sec C) 60 sec D) 20 sec E) 25 sec | <gadget id="calculator">2 * 60</gadget>
<output>120</output>
<gadget id="calculator">12 + 12</gadget>
<output>24</output>
<gadget id="calculator">120 / 24</gadget>
<output>5</output>
<gadget id="calculator">16 - 12</gadget>
<output>4</output>
<gadget id="calculator">5 * 4</gadget>
<output>20</output>
<result>D</result> | D | 20 | Two identical trains AA and BB running in opposite direction at same speed tale 2 min to cross each other completely. The number of bogies of AA are increased from 12 to 16. How much more time would they now require to cross each other? | {
"A": "40 sec",
"B": "50 sec",
"C": "60 sec",
"D": "20 sec",
"E": "25 sec"
} | multiply(divide(multiply(2, const_60), add(12, 12)), subtract(16, 12)) | add(n1,n1)|multiply(n0,const_60)|subtract(n2,n1)|divide(#1,#0)|multiply(#3,#2) | total initial bogies is 12 + 12 = 2412 + 12 = 24 additional bogies = 16 â ˆ ’ 12 = 4 24 bogies is 12 + 12 = 24 additional bogies = 16 - 12 = 4 24 bogies take 2 min 2 * 60 / 24 * 4 = 20 sec answer d | general |
math_qa__n9u3QdWGpfihC1ep | Express 5 mps in kmph? Choose the correct choice.
A) 22
B) 88
C) 90
D) 18
E) 24 | <gadget id="calculator">5 / 1_000</gadget>
<output>1/200 = around 0.005</output>
<gadget id="calculator">(1/200) * 3_600</gadget>
<output>18</output>
<result>D</result> | D | 18 | Express 5 mps in kmph? | {
"A": "22",
"B": "88",
"C": "90",
"D": "18",
"E": "24"
} | multiply(divide(5, const_1000), const_3600) | divide(n0,const_1000)|multiply(#0,const_3600)| | "5 * 18 / 5 = 18 kmph answer : d" | physics |
math_qa__IhBa6GivSpBuhWMb | a person starting with rs . 64 and making 6 bets , wins 3 times and loses 3 times , the wins and loses occurring in random order . the chance for a win is equal to the chance for a loss . if each wager is for 1 / 2 the money remaining at the time of the bet , then the final result is ? Select
A) rs . 23 B) rs . 37 C) rs . 45 D) rs . 67 E) rs . 77 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) ** 3</gadget>
<output>27/8 = around 3.375</output>
<gadget id="calculator">64 * (27/8)</gadget>
<output>216</output>
<gadget id="calculator">(1/2) ** 3</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">216 * (1/8)</gadget>
<output>27</output>
<gadget id="calculator">64 - 27</gadget>
<output>37</output>
<result>B</result> | B | 37 | a person starting with rs . 64 and making 6 bets , wins 3 times and loses 3 times , the wins and loses occurring in random order . the chance for a win is equal to the chance for a loss . if each wager is for 1 / 2 the money remaining at the time of the bet , then the final result is ? | {
"A": "rs . 23",
"B": "rs . 37",
"C": "rs . 45",
"D": "rs . 67",
"E": "rs . 77"
} | subtract(64, multiply(multiply(64, power(add(const_1, divide(1, 2)), const_3)), power(divide(1, 2), const_3))) | divide(n4,n5)|add(#0,const_1)|power(#0,const_3)|power(#1,const_3)|multiply(n0,#3)|multiply(#4,#2)|subtract(n0,#5) | as the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5 , we will multiply initial amount by 1.5 thrice and by 0.5 thrice ( in any order ) . the overall resultant will remain same . so final amount with the person will be ( in all cases ) : = 64 ( 1.5 ) ( 1.5 ) ( 1.5 ) ( 0.5 ) ( 0.5 ) ( 0.5 ) = = 64 ( 1.5 ) ( 1.5 ) ( 1.5 ) ( 0.5 ) ( 0.5 ) ( 0.5 ) = rs 2727 hence the final result is : 64 − 27 = 3764 − 27 = 37 : a loss of rs . 37 b | general |
math_qa__Ci1yBLF7m8EKyNlh | A boat can travel with a speed of 25km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 90km downstream. Pick.
A) 1 hr B) 2 hrs C) 3 hrs D) 4 hrs E) 5 hrs | <gadget id="calculator">25 + 5</gadget>
<output>30</output>
<gadget id="calculator">90 / 30</gadget>
<output>3</output>
<result>C</result> | C | 3 | A boat can travel with a speed of 25km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 90km downstream. | {
"A": "1 hr",
"B": "2 hrs",
"C": "3 hrs",
"D": "4 hrs",
"E": "5 hrs"
} | divide(90, add(25, 5)) | add(n0,n1)|divide(n2,#0)| | "speed downstream = ( 25 + 5 ) km / hr = 30 km / hr . time taken to travel 90 km downstream = 90 / 30 hrs = 3 hrs . answer : c" | physics |
math_qa__UjTi1aEfm9BAMJUG | How many ounces of a 60% salt solution must be added to 60 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt? Choose the correct choice from the following:
A) 16.67 B) 30 C) 50 D) 60 E) 70 | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 60</gadget>
<output>24</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 60</gadget>
<output>12</output>
<gadget id="calculator">24 - 12</gadget>
<output>12</output>
<gadget id="calculator">(2/5) - (1/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">12 / (1/5)</gadget>
<output>60</output>
<result>D</result> | D | 60 | How many ounces of a 60% salt solution must be added to 60 ounces of a 20 percent salt solution so that the resulting mixture is 40% salt? | {
"A": "16.67",
"B": "30",
"C": "50",
"D": "60",
"E": "70"
} | divide(subtract(multiply(divide(40, const_100), 60), multiply(divide(20, const_100), 60)), subtract(divide(40, const_100), divide(20, const_100))) | divide(n3,const_100)|divide(n2,const_100)|multiply(n1,#0)|multiply(n1,#1)|subtract(#0,#1)|subtract(#2,#3)|divide(#5,#4)| | "let x = ounces of 60 % salt solution to be added . 2 * 60 + . 6 x = . 4 ( 60 + x ) x = 60 answer d" | gain |
math_qa__3XIX91jFg8VF2rwL | In a college, 50% of total 400 Arts students are Locals. 25% of students from 100 Science students are locals and 85% of total 120 Commerce students are locals. What is the total percentage of locals from Arts, Science and Commerce. Choices.
A) 322 B) 340 C) 333 D) 327 E) 500 | <gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">400 * (1/2)</gadget>
<output>200</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 100</gadget>
<output>25</output>
<gadget id="calculator">200 + 25</gadget>
<output>225</output>
<gadget id="calculator">85 / 100</gadget>
<output>17/20 = around 0.85</output>
<gadget id="calculator">(17/20) * 120</gadget>
<output>102</output>
<gadget id="calculator">225 + 102</gadget>
<output>327</output>
<result>D</result> | D | 327 | In a college, 50% of total 400 Arts students are Locals. 25% of students from 100 Science students are locals and 85% of total 120 Commerce students are locals. What is the total percentage of locals from Arts, Science and Commerce. | {
"A": "322",
"B": "340",
"C": "333",
"D": "327",
"E": "500"
} | add(add(multiply(400, divide(50, const_100)), multiply(divide(25, const_100), 100)), multiply(divide(85, const_100), 120)) | divide(n0,const_100)|divide(n2,const_100)|divide(n4,const_100)|multiply(n1,#0)|multiply(n3,#1)|multiply(n5,#2)|add(#3,#4)|add(#6,#5) | locals from arts = 50 % of 400 = 200 locals from science = 25 % of 100 = 25 locals from commerce = 85 % of 120 = 102 total locals = 200 + 25 + 102 = 327 d | gain |
math_qa__ihDdvytervaiw2F7 | 12 : 6 seconds :: ? : 8 minutes Answers:
A) 10
B) 15
C) 16
D) 25
E) 30 | <gadget id="calculator">12 / 6</gadget>
<output>2</output>
<gadget id="calculator">8 * 2</gadget>
<output>16</output>
<result>C</result> | C | 16 | 12 : 6 seconds :: ? : 8 minutes | {
"A": "10",
"B": "15",
"C": "16",
"D": "25",
"E": "30"
} | multiply(8, divide(12, 6)) | divide(n0,n1)|multiply(n2,#0)| | "12 * 8 = 6 * x x = 16 answer : c" | physics |
math_qa__sdEfiMAC1owrB0Yj | A canoe has two oars, left and right. Each oar either works or breaks. The failure or non-failure of each oar is independent of the failure or non-failure of the other. You can still row the canoe with one oar. The probability that the left oar works is 3/5. The probability that the right oar works is also 3/5. What is the probability Y that you can still row the canoe? Choose the correct choice from the following choices:
A) 9 / 25
B) 10 / 25
C) 6 / 10
D) 2 / 3
E) 21 / 25 | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) * (3/5)</gadget>
<output>9/25 = around 0.36</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(3/5) * (2/5)</gadget>
<output>6/25 = around 0.24</output>
<gadget id="calculator">(6/25) + (6/25)</gadget>
<output>12/25 = around 0.48</output>
<gadget id="calculator">(9/25) + (12/25)</gadget>
<output>21/25 = around 0.84</output>
<result>E</result> | E | 0.84 | A canoe has two oars, left and right. Each oar either works or breaks. The failure or non-failure of each oar is independent of the failure or non-failure of the other. You can still row the canoe with one oar. The probability that the left oar works is 3/5. The probability that the right oar works is also 3/5. What is the probability Y that you can still row the canoe? | {
"A": "9 / 25",
"B": "10 / 25",
"C": "6 / 10",
"D": "2 / 3",
"E": "21 / 25"
} | add(multiply(divide(3, 5), divide(3, 5)), add(multiply(divide(3, 5), divide(const_2, 5)), multiply(divide(3, 5), divide(const_2, 5)))) | divide(n0,n1)|divide(const_2,n1)|multiply(#0,#1)|multiply(#0,#0)|add(#2,#2)|add(#4,#3)| | "simply look at the question from the other side . what is the probability that you can ’ t row the canoe ? this would be 2 / 5 x 2 / 5 = 4 / 25 . using the idea that the probability of something happening is 1 – the probability that it doesn ’ t happen , you can use the following equation to reach the right answer y : 1 – 4 / 25 = 21 / 25 . answer choice e ." | general |
math_qa__45jscScDhd0vFo9G | If Jake loses 15 pounds, he will weigh twice as much as his sister. Together they now weigh 132 pounds. What is Jake’s present weight, in pounds? Select
A) 63
B) 93
C) 139
D) 147
E) 188 | <gadget id="calculator">132 - 15</gadget>
<output>117</output>
<gadget id="calculator">117 / 3</gadget>
<output>39</output>
<gadget id="calculator">39 * 2</gadget>
<output>78</output>
<gadget id="calculator">78 + 15</gadget>
<output>93</output>
<result>B</result> | B | 93 | If Jake loses 15 pounds, he will weigh twice as much as his sister. Together they now weigh 132 pounds. What is Jake’s present weight, in pounds? | {
"A": "63",
"B": "93",
"C": "139",
"D": "147",
"E": "188"
} | add(multiply(divide(subtract(132, 15), const_3), const_2), 15) | subtract(n1,n0)|divide(#0,const_3)|multiply(#1,const_2)|add(n0,#2)| | "lets say j is the weight of jack and s is the wt of his sister . if he loses 15 pounds , he s twice as heavy as his sister . j - 15 = 2 * s also , together they weight 132 pounds j + s = 132 solvong the 2 equation , we get j = 93 pounds ! b" | general |
math_qa__TBZR9lNAU0PGvwx7 | A and B complete a work in 7 days. A alone can do it in 14 days. If both together can do the work in how many days? Choose the correct choice from the following answers.
A) 4.6 days
B) 4.78 days
C) 5.65 days
D) 3.77 days
E) 5.75 days | <gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">1 / 14</gadget>
<output>1/14 = around 0.071429</output>
<gadget id="calculator">(1/7) + (1/14)</gadget>
<output>3/14 = around 0.214286</output>
<gadget id="calculator">1 / (3/14)</gadget>
<output>14/3 = around 4.666667</output>
<result>A</result> | A | 4.6 | A and B complete a work in 7 days. A alone can do it in 14 days. If both together can do the work in how many days? | {
"A": "4.6 days",
"B": "4.78 days",
"C": "5.65 days",
"D": "3.77 days",
"E": "5.75 days"
} | inverse(add(inverse(7), inverse(14))) | inverse(n0)|inverse(n1)|add(#0,#1)|inverse(#2)| | "1 / 7 + 1 / 14 = 3 / 14 14 / 3 = 4.6 days answer : a" | physics |
math_qa__DthbIxfK0vObLJuR | a car traveled the first quarter of a certain distance at 4 times the speed it traveled the remaining distance . what proportion of the total time traveled , was the time taken to travel the first quarter of the distance ? Options.
A) 1 / 4 B) 1 / 5 C) 1 / 6 D) 1 / 7 E) 1 / 13 | <gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">4 * 3</gadget>
<output>12</output>
<gadget id="calculator">12 + 1</gadget>
<output>13</output>
<gadget id="calculator">1 / 13</gadget>
<output>1/13 = around 0.076923</output>
<result>E</result> | E | 0.076923 | a car traveled the first quarter of a certain distance at 4 times the speed it traveled the remaining distance . what proportion of the total time traveled , was the time taken to travel the first quarter of the distance ? | {
"A": "1 / 4",
"B": "1 / 5",
"C": "1 / 6",
"D": "1 / 7",
"E": "1 / 13"
} | inverse(add(multiply(4, subtract(4, const_1)), const_1)) | subtract(n0,const_1)|multiply(n0,#0)|add(#1,const_1)|inverse(#2) | these problems can be solved through algebra or sly number picking . being a big fan of solving problems with numbers , let ' s pick a total distance divisible by 4 ( say 40 ) so we can break it up into quarters , and a speed that can easily be one fourth , say 10 . each quarter is thus 10 kilometers ( or miles or feet or angstroms for all it matters ) , and the runner ' s speed is 10 km / h for the first quarter and 5 / 2 km / h for the remaining quarters . he ' ll take 1 hour to do the first quarter and then 4 hours for the second quarter , 4 hours for the third and 4 hours for the fourth . on total he will take 13 hours to complete this race , of which 1 hour was spent on the first quarter . so 1 / 13 . answer e . | physics |
math_qa__XSAgIz1CdO4TbCEQ | One fourth of one third of two fifth of a number is 17. What will be 40% of that number Pick one:
A) 140 B) 204 C) 180 D) 200 E) 250 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/4) * (1/3)</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(1/12) * (2/5)</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">17 / (1/30)</gadget>
<output>510</output>
<gadget id="calculator">510 * 40</gadget>
<output>20_400</output>
<gadget id="calculator">20_400 / 100</gadget>
<output>204</output>
<result>B</result> | B | 204 | One fourth of one third of two fifth of a number is 17. What will be 40% of that number | {
"A": "140",
"B": "204",
"C": "180",
"D": "200",
"E": "250"
} | divide(multiply(divide(17, multiply(multiply(divide(const_1, const_4), divide(const_1, const_3)), divide(const_2, add(const_2, const_3)))), 40), const_100) | add(const_2,const_3)|divide(const_1,const_4)|divide(const_1,const_3)|divide(const_2,#0)|multiply(#1,#2)|multiply(#3,#4)|divide(n0,#5)|multiply(n1,#6)|divide(#7,const_100)| | "explanation : ( 1 / 4 ) * ( 1 / 3 ) * ( 2 / 5 ) * x = 17 then x = 17 * 30 = 510 40 % of 510 = 204 answer : option b" | gain |
math_qa__REaBsElCbw2pYgVn | What is the decimal equivalent of (1/5)^2?
Options.
A) 0.0016
B) 0.04
C) 0.16
D) 0.25
E) 0.5 | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) ** 2</gadget>
<output>1/25 = around 0.04</output>
<result>B</result> | B | 0.04 | What is the decimal equivalent of (1/5)^2? | {
"A": "0.0016",
"B": "0.04",
"C": "0.16",
"D": "0.25",
"E": "0.5"
} | power(divide(1, 5), 2) | divide(n0,n1)|power(#0,n2)| | "( 1 / 5 ) ² = ( 1 / 5 ) ( 1 / 5 ) = 1 / 25 approach # 1 : use long division to divide 25 into 1 to get 1 / 25 = 0.04 b" | general |
math_qa__pjmtih4PQHfzNQ9L | At an international conference, “Red” world countries and “Blue” world countries are the only participants. The ratio of “Red” world participants to “Blue” world participants is 10:5. If one-third of “Red” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed? Choose the correct choice from the following answers.
A) 4 / 10 B) 4 / 9 C) 6 / 5 D) 9 / 2 E) 6 / 4 | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">10 * (1/3)</gadget>
<output>10/3 = around 3.333333</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">5 * (2/3)</gadget>
<output>10/3 = around 3.333333</output>
<gadget id="calculator">(10/3) + (10/3)</gadget>
<output>20/3 = around 6.666667</output>
<gadget id="calculator">10 + 5</gadget>
<output>15</output>
<gadget id="calculator">(20/3) / 15</gadget>
<output>4/9 = around 0.444444</output>
<result>B</result> | B | 0.444444 | At an international conference, “Red” world countries and “Blue” world countries are the only participants. The ratio of “Red” world participants to “Blue” world participants is 10:5. If one-third of “Red” world participants are left-handed and two-thirds of “Blue” world participants are left-handed, then what is the fraction of the participants who are left-handed? | {
"A": "4 / 10",
"B": "4 / 9",
"C": "6 / 5",
"D": "9 / 2",
"E": "6 / 4"
} | divide(add(multiply(10, const_0_33), multiply(5, divide(const_2, const_3))), add(10, 5)) | add(n0,n1)|divide(const_2,const_3)|multiply(n0,const_0_33)|multiply(n1,#1)|add(#2,#3)|divide(#4,#0) | red : blue = 10 : 5 let red = 10 x and blue = 5 x 1 / 3 of red are left handed = > 1 / 3 * 10 x = 10 x / 3 red left handed 2 / 3 of blue are left handed = > 2 / 3 * 5 x = 10 x / 3 blue left handed fraction of participants who are left handed = total left handed / total participants = ( red left handed + blue left handed ) / total participants = ( 10 x / 3 + 10 x / 3 ) / ( 10 x + 5 x ) = 20 / 45 = 4 / 9 answer : b | other |
math_qa__h6tnWg1KbjaxcovB | The average salary/head of allthe workers in a workshop is Rs.750, if the average salary/head of 5 technician is Rs.900 and the average salary/head of the rest is Rs.700, the total no. of workers in the work-shop is ? Choose the correct choice from the following answers
A) 18 B) 20 C) 22 D) 24 E) 26 | <gadget id="calculator">5 * 900</gadget>
<output>4_500</output>
<gadget id="calculator">5 * 700</gadget>
<output>3_500</output>
<gadget id="calculator">4_500 - 3_500</gadget>
<output>1_000</output>
<gadget id="calculator">750 - 700</gadget>
<output>50</output>
<gadget id="calculator">1_000 / 50</gadget>
<output>20</output>
<result>B</result> | B | 20 | The average salary/head of allthe workers in a workshop is Rs.750, if the average salary/head of 5 technician is Rs.900 and the average salary/head of the rest is Rs.700, the total no. of workers in the work-shop is ? | {
"A": "18",
"B": "20",
"C": "22",
"D": "24",
"E": "26"
} | divide(subtract(multiply(5, 900), multiply(5, 700)), subtract(750, 700)) | multiply(n1,n2)|multiply(n1,n3)|subtract(n0,n3)|subtract(#0,#1)|divide(#3,#2)| | let the total number of workers be y . so sum of salary for all workers = sum of salary of 5 technician + sum of salary for other y - 5 workers . 5 x 900 + 700 ( y - 5 ) = 750 y ⇒ 4500 + 700 y - 3500 = 750 y ⇒ 50 y = 1000 ∴ y = 20 so total number of workers = 20 b | general |
math_qa__1UbSDrE5oTe7ViBh | The average age of 10 men increases by 6 years when two women are included in place of two men of ages 18 and 22 years. Find the average age of the women? Choose the correct choice from the following: A) 37 B) 26 C) 30 D) 50 E) 11 | <gadget id="calculator">18 + 22</gadget>
<output>40</output>
<gadget id="calculator">10 * 6</gadget>
<output>60</output>
<gadget id="calculator">40 + 60</gadget>
<output>100</output>
<gadget id="calculator">100 / 2</gadget>
<output>50</output>
<result>D</result> | D | 50 | The average age of 10 men increases by 6 years when two women are included in place of two men of ages 18 and 22 years. Find the average age of the women? | {
"A": "37",
"B": "26",
"C": "30",
"D": "50",
"E": "11"
} | divide(add(add(18, 22), multiply(10, 6)), const_2) | add(n2,n3)|multiply(n0,n1)|add(#0,#1)|divide(#2,const_2)| | "explanation : 18 + 22 + 10 * 6 = 100 / 2 = 50 answer : d" | general |
math_qa__rfeMSKohP788uHov | A started a business with an investment of Rs. 70000 and after 3 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 43000, then the share of B is? Choose the correct choice from the following.
A) 33888 B) 36000 C) 27778 D) 27772 E) 81122 | <gadget id="calculator">60 * 100</gadget>
<output>6_000</output>
<gadget id="calculator">43_000 - 6_000</gadget>
<output>37_000</output>
<result>B</result> | B | 36,000 | A started a business with an investment of Rs. 70000 and after 3 months B joined him investing Rs. 120000. If the profit at the end of a year is Rs. 43000, then the share of B is? | {
"A": "33888",
"B": "36000",
"C": "27778",
"D": "27772",
"E": "81122"
} | subtract(43000, multiply(const_60, const_100)) | multiply(const_100,const_60)|subtract(n3,#0) | ratio of investments of a and b is ( 70000 * 12 ) : ( 120000 * 9 ) = 7 : 36 total profit = rs . 43000 share of b = 36 / 43 ( 43000 ) = rs . 36000 answer : b | gain |
math_qa__vuDVJXx8qPAvE0RG | The ratio of boys to girl in a school is 5:4. If there are 1500 boys in the school, how many girls are there? Pick: A) 300 B) 1200 C) 1500 D) 1800 E) 2000 | <gadget id="calculator">1_500 / 5</gadget>
<output>300</output>
<gadget id="calculator">300 * 4</gadget>
<output>1_200</output>
<result>B</result> | B | 1,200 | The ratio of boys to girl in a school is 5:4. If there are 1500 boys in the school, how many girls are there? | {
"A": "300",
"B": "1200",
"C": "1500",
"D": "1800",
"E": "2000"
} | multiply(divide(1500, 5), 4) | divide(n2,n0)|multiply(n1,#0) | think of the ratio as 5 parts : 4 parts . divide 1500 by 5 to find 1 ` ` part ' ' of the ratio . 1500 / 5 = 300 multiply this by 4 to get 4 ` ` parts ' ' of the ratio . 300 * 4 = 1200 there are 1200 girls in the school . the answer is b | other |
math_qa__RBbCNpcCZTrf0yoo | A tank can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tank from empty state if B is used for the first half time and then A and B fill it together for the other half Choose the correct option: A) 15 mins B) 20 mins C) 25 mins D) 30 mins E) none of these | <gadget id="calculator">40 * 3</gadget>
<output>120</output>
<gadget id="calculator">120 * 2</gadget>
<output>240</output>
<gadget id="calculator">4 + 4</gadget>
<output>8</output>
<gadget id="calculator">240 / 8</gadget>
<output>30</output>
<result>D</result> | D | 30 | A tank can be filled by two pipes A and B in 60 minutes and 40 minutes respectively. How many minutes will it take to fill the tank from empty state if B is used for the first half time and then A and B fill it together for the other half | {
"A": "15 mins",
"B": "20 mins",
"C": "25 mins",
"D": "30 mins",
"E": "none of these"
} | divide(multiply(multiply(40, const_3), const_2), add(const_4, const_4)) | add(const_4,const_4)|multiply(n1,const_3)|multiply(#1,const_2)|divide(#2,#0)| | "explanation : let the total time be x mins . part filled in first half means in x / 2 = 1 / 40 part filled in second half means in x / 2 = 1 / 60 + 1 / 40 = 1 / 24 total = x / 2 ∗ 1 / 40 + x / 2 ∗ 1 / 24 = 1 = > x / 2 ( 1 / 40 + 1 / 24 ) = 1 = > x / 2 ∗ 1 / 15 = 1 = > x = 30 mins option d" | physics |
math_qa__IYlbaCJ5jmd7zXVK | The diameter of a garden roller is 1.4 m and it is 2 m long. How much area will it cover in 4 revolutions ? (use Ï€ = 22â„7) Choose the correct choice
A) 35.2 m 2 B) 44 m 2 C) 48 m 2 D) 36 m 2 E) none of these | <gadget id="calculator">22 / 7</gadget>
<output>22/7 = around 3.142857</output>
<gadget id="calculator">2 * (22/7)</gadget>
<output>44/7 = around 6.285714</output>
<gadget id="calculator">1.4 / 2</gadget>
<output>0.7</output>
<gadget id="calculator">(44/7) * 0.7</gadget>
<output>4.4</output>
<gadget id="calculator">4.4 * 2</gadget>
<output>8.8</output>
<gadget id="calculator">4 * 8.8</gadget>
<output>35.2</output>
<result>A</result> | A | 35.2 | The diameter of a garden roller is 1.4 m and it is 2 m long. How much area will it cover in 4 revolutions ? (use Ï€ = 22â„7) | {
"A": "35.2 m 2",
"B": "44 m 2",
"C": "48 m 2",
"D": "36 m 2",
"E": "none of these"
} | multiply(4, multiply(multiply(multiply(2, divide(22, 7)), divide(1.4, 2)), 2)) | divide(n0,n1)|divide(n3,n4)|multiply(#1,n1)|multiply(#0,#2)|multiply(n1,#3)|multiply(n2,#4)| | "required area covered in 5 revolutions = 4 ã — 2 ï € rh = 4 ã — 2 ã — 22 â „ 7 ã — 0.7 ã — 2 = 35.2 m 2 answer a" | physics |
math_qa__ZNxgkQqisRCkqg9u | In a group of ducks and cows, the total number of legs are 48 more than twice the no. of heads. Find the total no.of buffaloes.
Choose the most appropriate option
A) 28 B) 12 C) 24 D) 16 E) 19 | <gadget id="calculator">48 / 2</gadget>
<output>24</output>
<result>C</result> | C | 24 | In a group of ducks and cows, the total number of legs are 48 more than twice the no. of heads. Find the total no.of buffaloes. | {
"A": "28",
"B": "12",
"C": "24",
"D": "16",
"E": "19"
} | divide(48, const_2) | divide(n0,const_2)| | "let the number of buffaloes be x and the number of ducks be y = > 4 x + 2 y = 2 ( x + y ) + 48 = > 2 x = 48 = > x = 24 c" | general |
math_qa__NPc9AkfutJXz0OkN | Two-third of a positive number and 64/216 of its reciprocal are equal. The number is:
Choose the correct choice
A) 5 / 12 B) 12 / 5 C) 25 / 144 D) 2 / 3 E) 146 / 25 | <gadget id="calculator">64 * 3</gadget>
<output>192</output>
<gadget id="calculator">216 * 2</gadget>
<output>432</output>
<gadget id="calculator">192 / 432</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">(4/9) ** (1/2)</gadget>
<output>2/3 = around 0.666667</output>
<result>D</result> | D | 0.666667 | Two-third of a positive number and 64/216 of its reciprocal are equal. The number is: | {
"A": "5 / 12",
"B": "12 / 5",
"C": "25 / 144",
"D": "2 / 3",
"E": "146 / 25"
} | sqrt(divide(multiply(64, const_3), multiply(216, const_2))) | multiply(n0,const_3)|multiply(n1,const_2)|divide(#0,#1)|sqrt(#2)| | "let the number be x . then , 2 / 3 x = 64 / 216 * 1 / x x 2 = 64 / 216 * 3 / 2 = 64 / 144 = 4 / 9 x = 2 / 3 answer : d" | general |
math_qa__eRA5OitFpjOrdUr9 | When positive integer m is divided by positive integer n, the remainder is 12. If m/n = 24.2, what is the value of n ? Select
A) 120 B) 60 C) 30 D) 24 E) 12 | <gadget id="calculator">24.2 % 1</gadget>
<output>0.2</output>
<gadget id="calculator">12 / 0.2</gadget>
<output>60</output>
<result>B</result> | B | 60 | When positive integer m is divided by positive integer n, the remainder is 12. If m/n = 24.2, what is the value of n ? | {
"A": "120",
"B": "60",
"C": "30",
"D": "24",
"E": "12"
} | divide(12, reminder(24.2, const_1)) | reminder(n1,const_1)|divide(n0,#0) | n = decimal part of 24.2 * remainder i . e . ( 12 ) hence 0.2 * n = 12 n = 60 . b | general |
math_qa__XkyppQ5LFit7Qhmn | A train crosses a platform of 350 m in 15 sec, same train crosses another platform of length 500m in 20 sec. then find the length of the train? Pick one:
A) 100 m
B) 180 m
C) 159 m
D) 250 m
E) 152 m | <gadget id="calculator">15 / 3</gadget>
<output>5</output>
<gadget id="calculator">15 / 5</gadget>
<output>3</output>
<gadget id="calculator">500 * 3</gadget>
<output>1_500</output>
<gadget id="calculator">20 / 5</gadget>
<output>4</output>
<gadget id="calculator">350 * 4</gadget>
<output>1_400</output>
<gadget id="calculator">1_500 - 1_400</gadget>
<output>100</output>
<result>A</result> | A | 100 | A train crosses a platform of 350 m in 15 sec, same train crosses another platform of length 500m in 20 sec. then find the length of the train? | {
"A": "100 m",
"B": "180 m",
"C": "159 m",
"D": "250 m",
"E": "152 m"
} | subtract(multiply(500, divide(15, divide(15, const_3))), multiply(350, divide(20, divide(15, const_3)))) | divide(n1,const_3)|divide(n1,#0)|divide(n3,#0)|multiply(n2,#1)|multiply(n0,#2)|subtract(#3,#4)| | "length of the train be ‘ x ’ x + 350 / 15 = x + 500 / 20 4 x + 1400 = 3 x + 1500 x = 100 m answer : a" | physics |
math_qa__qgxBuLGOlNxwHtob | If doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, the number is Pick one
A) 2 B) 3 C) 4 D) 6 E) 7 | <gadget id="calculator">20 + 4</gadget>
<output>24</output>
<gadget id="calculator">8 - 2</gadget>
<output>6</output>
<gadget id="calculator">24 / 6</gadget>
<output>4</output>
<result>C</result> | C | 4 | If doubling a number and adding 20 to the result gives the same answer as multiplying the number by 8 and taking away 4 from the product, the number is | {
"A": "2",
"B": "3",
"C": "4",
"D": "6",
"E": "7"
} | divide(add(20, 4), subtract(8, const_2)) | add(n0,n2)|subtract(n1,const_2)|divide(#0,#1) | solution let the number be x . = then , 2 x + 20 = 8 x – 4 = 6 x = 24 ‹ = › x = 4 . answer c | general |
math_qa__Qbj7zttNl68ZSwl5 | x+(1/x) = 3.5 find x^2 + (1/x^2) Select.
A) 2.25 B) 3.25 C) 10.25 D) 5.25 E) 6.25 | <gadget id="calculator">3.5 ** 2</gadget>
<output>12.25</output>
<gadget id="calculator">12.25 - 2</gadget>
<output>10.25</output>
<result>C</result> | C | 10.25 | x+(1/x) = 3.5 find x^2 + (1/x^2) | {
"A": "2.25",
"B": "3.25",
"C": "10.25",
"D": "5.25",
"E": "6.25"
} | subtract(power(3.5, 2), const_2) | power(n1,n2)|subtract(#0,const_2) | squaring on both sides ( x + 1 / x ) ^ 2 = 3.5 ^ 2 x ^ 2 + 1 / x ^ 2 = 12.25 - 2 x ^ 2 + 1 / x ^ 2 = 10.25 answer : c | general |
math_qa__oyuUZC5SBv4QRnoV | What is the difference between the largest number and the least number written with the digits 9, 2, 1, 5?
Choose the correct choice from the following choices
A) 6084 B) 3788 C) 2077 D) 8262 E) 1812 | <gadget id="calculator">9 * 100</gadget>
<output>900</output>
<gadget id="calculator">900 * 10</gadget>
<output>9_000</output>
<gadget id="calculator">5 * 100</gadget>
<output>500</output>
<gadget id="calculator">9_000 + 500</gadget>
<output>9_500</output>
<gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">9_500 + 20</gadget>
<output>9_520</output>
<gadget id="calculator">9_520 + 1</gadget>
<output>9_521</output>
<gadget id="calculator">2 * 100</gadget>
<output>200</output>
<gadget id="calculator">1_000 + 200</gadget>
<output>1_200</output>
<gadget id="calculator">5 * 10</gadget>
<output>50</output>
<gadget id="calculator">1_200 + 50</gadget>
<output>1_250</output>
<gadget id="calculator">1_250 + 9</gadget>
<output>1_259</output>
<gadget id="calculator">9_521 - 1_259</gadget>
<output>8_262</output>
<result>D</result> | D | 8,262 | What is the difference between the largest number and the least number written with the digits 9, 2, 1, 5? | {
"A": "6084",
"B": "3788",
"C": "2077",
"D": "8262",
"E": "1812"
} | subtract(add(add(add(multiply(multiply(9, const_100), const_10), multiply(5, const_100)), multiply(2, const_10)), 1), add(add(add(const_1000, multiply(2, const_100)), multiply(5, const_10)), 9)) | multiply(n0,const_100)|multiply(n3,const_100)|multiply(n1,const_10)|multiply(n1,const_100)|multiply(n3,const_10)|add(#3,const_1000)|multiply(#0,const_10)|add(#6,#1)|add(#5,#4)|add(#7,#2)|add(n0,#8)|add(n2,#9)|subtract(#11,#10)| | "explanation : 1259 9521 - - - - - - - - - - - - 8262 answer : d" | general |
math_qa__1s9YrFu5ykePszY3 | The ratio of flour to water to sugar in a recipe is 7:2:1. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 2 cups of water, how much sugar is required? Choose one:
A) 2 B) 3 C) 4 D) 5 E) 6 | <gadget id="calculator">2 / 2</gadget>
<output>1</output>
<gadget id="calculator">4 * 1</gadget>
<output>4</output>
<gadget id="calculator">1 * 4</gadget>
<output>4</output>
<result>C</result> | C | 4 | The ratio of flour to water to sugar in a recipe is 7:2:1. The ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar. If the new recipe calls for 2 cups of water, how much sugar is required? | {
"A": "2",
"B": "3",
"C": "4",
"D": "5",
"E": "6"
} | multiply(divide(2, 2), multiply(const_4, 1)) | divide(n3,n1)|multiply(n2,const_4)|multiply(#0,#1)| | "the ratio of flour to water is 14 : 2 . the ratio of flour to sugar is 3.5 : 1 = 14 : 4 . the new ratio of flour to water to sugar is 14 : 2 : 4 if we need 2 cups of water , then we need 4 cups of sugar . the answer is c ." | other |
math_qa__LtZ1Q3FtZzpcMcs0 | A train ,130 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is
Pick
A) 270 m B) 245 m C) 235 m D) 220 m E) 240 m | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">45 * (5/18)</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) * 30</gadget>
<output>375</output>
<gadget id="calculator">375 - 130</gadget>
<output>245</output>
<result>B</result> | B | 245 | A train ,130 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is | {
"A": "270 m",
"B": "245 m",
"C": "235 m",
"D": "220 m",
"E": "240 m"
} | subtract(multiply(multiply(45, const_0_2778), 30), 130) | multiply(n1,const_0_2778)|multiply(n2,#0)|subtract(#1,n0) | explanation : assume the length of the bridge = x meter total distance covered = 130 + x meter total time taken = 30 s speed = total distance covered / total time taken = ( 130 + x ) / 30 m / s = > 45 × ( 10 / 36 ) = ( 130 + x ) / 30 = > 45 × 10 × 30 / 36 = 130 + x = > 45 × 10 × 10 / 12 = 130 + x = > 15 × 10 × 10 / 4 = 130 + x = > 15 × 25 = 130 + x = 375 = > x = 375 - 130 = 245 answer : option b | physics |
math_qa__jw2KJPEzWoqs9zGQ | A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 900 kilometers per hour. At what speed, in kilometers per hour, is the car traveling? Choose the correct option: A) 671.5 B) 600 C) 672.5 D) 673 E) 773.5 | <gadget id="calculator">1 / 900</gadget>
<output>1/900 = around 0.001111</output>
<gadget id="calculator">3_600 * (1/900)</gadget>
<output>4</output>
<gadget id="calculator">4 + 2</gadget>
<output>6</output>
<gadget id="calculator">6 / 3_600</gadget>
<output>1/600 = around 0.001667</output>
<gadget id="calculator">1 / (1/600)</gadget>
<output>600</output>
<result>B</result> | B | 600 | A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 900 kilometers per hour. At what speed, in kilometers per hour, is the car traveling? | {
"A": "671.5",
"B": "600",
"C": "672.5",
"D": "673",
"E": "773.5"
} | divide(1, divide(add(multiply(const_3600, divide(1, 900)), 2), const_3600)) | divide(n1,n3)|multiply(#0,const_3600)|add(n0,#1)|divide(#2,const_3600)|divide(n1,#3)| | "many approaches are possible , one of them : let the distance be 1 kilometer . time to cover this distance at 900 kilometers per hour is 1 / 900 hours = 3,600 / 900 seconds = 4 seconds ; time to cover this distance at regular speed is 900 + 2 = 902 seconds = 902 / 3,600 hours = 1 / 600 hours ; so , we get that to cover 1 kilometer 1 / 600 hours is needed - - > regular speed 600 kilometers per hour ( rate is a reciprocal of time or rate = distance / time ) . answer : b ." | physics |
math_qa__1Vh28Y9Xy4Tt0lqM | A school has 4 section of Chemistry in Class X having 70, 35, 45 and 42 students. The mean marks obtained in Chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. Determine the overall average of marks per student.
Choose the most appropriate option
A) 50.9 B) 52.9 C) 51.9 D) 53.25 E) none of the above | <gadget id="calculator">70 * 50</gadget>
<output>3_500</output>
<gadget id="calculator">35 * 60</gadget>
<output>2_100</output>
<gadget id="calculator">3_500 + 2_100</gadget>
<output>5_600</output>
<gadget id="calculator">45 * 55</gadget>
<output>2_475</output>
<gadget id="calculator">5_600 + 2_475</gadget>
<output>8_075</output>
<gadget id="calculator">42 * 45</gadget>
<output>1_890</output>
<gadget id="calculator">8_075 + 1_890</gadget>
<output>9_965</output>
<gadget id="calculator">70 + 35</gadget>
<output>105</output>
<gadget id="calculator">105 + 45</gadget>
<output>150</output>
<gadget id="calculator">150 + 42</gadget>
<output>192</output>
<gadget id="calculator">9_965 / 192</gadget>
<output>9_965/192 = around 51.901042</output>
<result>C</result> | C | 51.9 | A school has 4 section of Chemistry in Class X having 70, 35, 45 and 42 students. The mean marks obtained in Chemistry test are 50, 60, 55 and 45 respectively for the 4 sections. Determine the overall average of marks per student. | {
"A": "50.9",
"B": "52.9",
"C": "51.9",
"D": "53.25",
"E": "none of the above"
} | divide(add(add(add(multiply(70, 50), multiply(35, 60)), multiply(45, 55)), multiply(42, 45)), add(add(add(70, 35), 45), 42)) | add(n1,n2)|multiply(n1,n5)|multiply(n2,n6)|multiply(n3,n7)|multiply(n3,n4)|add(#1,#2)|add(n3,#0)|add(#5,#3)|add(n4,#6)|add(#7,#4)|divide(#9,#8)| | "required average marks = 70 ã — 50 + 35 ã — 60 + 45 ã — 55 + 42 ã — 45 / 70 + 35 + 45 + 42 = 3500 + 2100 + 2475 + 1890 / 192 = 9965 â „ 192 = 51.90 answer c" | general |
math_qa__4Jfu5LiRsi1ZdQAt | How much is 40% of 60 is greater than 4/5 of 25? Select: A) 2 B) 5 C) 12 D) 8 E) 4 | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">60 * (2/5)</gadget>
<output>24</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) * 25</gadget>
<output>20</output>
<gadget id="calculator">24 - 20</gadget>
<output>4</output>
<result>E</result> | E | 4 | How much is 40% of 60 is greater than 4/5 of 25? | {
"A": "2",
"B": "5",
"C": "12",
"D": "8",
"E": "4"
} | subtract(multiply(60, divide(40, const_100)), multiply(divide(4, 5), 25)) | divide(n0,const_100)|divide(n2,n3)|multiply(n1,#0)|multiply(n4,#1)|subtract(#2,#3)| | "( 40 / 100 ) * 60 â € “ ( 4 / 5 ) * 25 24 - 20 = 4 answer : e" | general |
math_qa__BNlOqTvTqQXsWon9 | If the sides of a triangle are 30 cm, 26 cm and 10 cm, what is its area? Choose the correct choice from the following answers
A) 120 B) 110 C) 130 D) 140 E) 150 | <gadget id="calculator">26 * 10</gadget>
<output>260</output>
<gadget id="calculator">260 / 2</gadget>
<output>130</output>
<result>C</result> | C | 130 | If the sides of a triangle are 30 cm, 26 cm and 10 cm, what is its area? | {
"A": "120",
"B": "110",
"C": "130",
"D": "140",
"E": "150"
} | divide(multiply(26, 10), const_2) | multiply(n1,n2)|divide(#0,const_2)| | "the triangle with sides 30 cm , 26 cm and 10 cm is right angled , where the hypotenuse is 30 cm . area of the triangle = 1 / 2 * 26 * 10 = 130 cm 2 answer : option c" | geometry |
math_qa__2pKhmHJFMcnNfhV9 | ashok borrowed some money at the rate of 6 % p . a . for the first two years , at the rate of 9 % p . a . for the next 3 years and at the rate of 14 % p . a . for the period beyond 5 years . if he pays a total interest of 11400 / - at the end of 9 years , how much money did he borrow ? Choose the correct choice:
A) 16060
B) 14000
C) 18000
D) 12000
E) none of these | <gadget id="calculator">9 - 3</gadget>
<output>6</output>
<gadget id="calculator">6 - 2</gadget>
<output>4</output>
<gadget id="calculator">14 * 4</gadget>
<output>56</output>
<gadget id="calculator">56 / 100</gadget>
<output>14/25 = around 0.56</output>
<gadget id="calculator">6 * 2</gadget>
<output>12</output>
<gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">9 * 3</gadget>
<output>27</output>
<gadget id="calculator">27 / 100</gadget>
<output>27/100 = around 0.27</output>
<gadget id="calculator">(3/25) + (27/100)</gadget>
<output>39/100 = around 0.39</output>
<gadget id="calculator">(14/25) + (39/100)</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">11_400 / (19/20)</gadget>
<output>12_000</output>
<result>D</result> | D | 12,000 | ashok borrowed some money at the rate of 6 % p . a . for the first two years , at the rate of 9 % p . a . for the next 3 years and at the rate of 14 % p . a . for the period beyond 5 years . if he pays a total interest of 11400 / - at the end of 9 years , how much money did he borrow ? | {
"A": "16060",
"B": "14000",
"C": "18000",
"D": "12000",
"E": "none of these"
} | divide(11400, add(divide(multiply(14, subtract(subtract(9, const_3), const_2)), const_100), add(divide(multiply(6, const_2), const_100), divide(multiply(9, 3), const_100)))) | multiply(n0,const_2)|multiply(n1,n2)|subtract(n1,const_3)|divide(#0,const_100)|divide(#1,const_100)|subtract(#2,const_2)|add(#3,#4)|multiply(n3,#5)|divide(#7,const_100)|add(#6,#8)|divide(n5,#9) | we have , si = p × r × t / 100 ∴ 11400 = p × 6 × 2 / 100 + p × 9 × 3 / 100 + p × 14 × 4 / 100 or , 12 p + 27 p + 56 p = 11400 × 100 or , 95 p = 11400 × 100 ∴ p = 12000 answer d | general |
math_qa__fOPL33Dm3YQAhVZC | ` ` i am 8 times as old as you were when i was as old as you are ` ` , said a man to his son . find out their present ages if the sum of the their ages is 75 years . Choose the correct choice from the following choices
A) 23 B) 24 C) 25 D) 26 E) 27 | <gadget id="calculator">8 + 1</gadget>
<output>9</output>
<gadget id="calculator">8 * 2</gadget>
<output>16</output>
<gadget id="calculator">9 / 16</gadget>
<output>9/16 = around 0.5625</output>
<gadget id="calculator">(9/16) + 1</gadget>
<output>25/16 = around 1.5625</output>
<gadget id="calculator">75 / (25/16)</gadget>
<output>48</output>
<gadget id="calculator">75 - 48</gadget>
<output>27</output>
<result>E</result> | E | 27 | ` ` i am 8 times as old as you were when i was as old as you are ` ` , said a man to his son . find out their present ages if the sum of the their ages is 75 years . | {
"A": "23",
"B": "24",
"C": "25",
"D": "26",
"E": "27"
} | subtract(75, divide(75, add(divide(add(8, const_1), multiply(8, const_2)), const_1))) | add(n0,const_1)|multiply(n0,const_2)|divide(#0,#1)|add(#2,const_1)|divide(n1,#3)|subtract(n1,#4) | present age of boy x and previous age of boy y so present age of dad : 8 y and previous age is x so the gap between duration must be same so 8 y - x = x - y - - > x = 9 y / 2 and x + 8 y = 75 ( given ) - - > 9 y / 2 + y = 75 so y = 6 and and x = 27 therefore fathers age is 8 y = 8 * 6 = 48 and child ' s age = x = 27 answer : e | general |
math_qa__pddYBFwkXepMxn3v | ada and paul received their scores on 3 tests . on the first test , ada ' s score was 10 points higher than paul ' s score . on the second test , ada ' s score was 4 points higher than paul ' s score . if paul ' s average ( arithmetic mean ) score on the 3 tests was 4 points higher than ada ' s average score on the 3 tests , then paul ' s score on the third test was how many points higher than ada ' s score ?
Choose the most appropriate option
A) 9 B) 14 C) 17 D) 23 E) 26 | <gadget id="calculator">4 * 3</gadget>
<output>12</output>
<gadget id="calculator">12 + 10</gadget>
<output>22</output>
<gadget id="calculator">22 + 4</gadget>
<output>26</output>
<result>E</result> | E | 26 | ada and paul received their scores on 3 tests . on the first test , ada ' s score was 10 points higher than paul ' s score . on the second test , ada ' s score was 4 points higher than paul ' s score . if paul ' s average ( arithmetic mean ) score on the 3 tests was 4 points higher than ada ' s average score on the 3 tests , then paul ' s score on the third test was how many points higher than ada ' s score ? | {
"A": "9",
"B": "14",
"C": "17",
"D": "23",
"E": "26"
} | add(add(multiply(4, 3), 10), 4) | multiply(n0,n2)|add(n1,#0)|add(n2,#1) | my take is option d ( 23 ) i followed a simple approach ( explained below ) : test 1 : ada ' s score = paul ' s score + 10 test 2 : ada ' s score = paul ' s score + 4 avg . of paul ' s score = 4 points higher than avg . of ada ' s score this implies that : sum of paul ' s score [ 3 tests ] = 12 points higher than sum of ada ' s score [ 3 tests ] ( 12 points higher since 3 points were given in terms of average of 3 scores ) so , paul needs to score 23 points higher than ada in test 3 , since paul needs to compensate for the lower score in test 1 and test 2 ( 26 = 10 + 4 + 12 ) e | general |
math_qa__EmDlee1T5RENdM6C | The simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on $4000 for 2 years at 10% per annum. The sum placed on simple interest is ?
Choose the correct choice:
A) $ 1250
B) $ 1300
C) $ 1750
D) $ 2015
E) $ 1452 | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">(11/10) ** 2</gadget>
<output>121/100 = around 1.21</output>
<gadget id="calculator">4_000 * (121/100)</gadget>
<output>4_840</output>
<gadget id="calculator">4_840 - 4_000</gadget>
<output>840</output>
<gadget id="calculator">840 / 2</gadget>
<output>420</output>
<gadget id="calculator">8 / 100</gadget>
<output>2/25 = around 0.08</output>
<gadget id="calculator">3 * (2/25)</gadget>
<output>6/25 = around 0.24</output>
<gadget id="calculator">420 / (6/25)</gadget>
<output>1_750</output>
<result>C</result> | C | 1,750 | The simple interest on a certain sum of money for 3 years at 8% per annum is half the compound interest on $4000 for 2 years at 10% per annum. The sum placed on simple interest is ? | {
"A": "$ 1250",
"B": "$ 1300",
"C": "$ 1750",
"D": "$ 2015",
"E": "$ 1452"
} | divide(divide(subtract(multiply(4000, power(add(const_1, divide(10, const_100)), const_2)), 4000), 2), multiply(3, divide(8, const_100))) | divide(n4,const_100)|divide(n1,const_100)|add(#0,const_1)|multiply(n0,#1)|power(#2,const_2)|multiply(n2,#4)|subtract(#5,n2)|divide(#6,n3)|divide(#7,#3) | c . i . = 4000 * ( 1 + 10 / 100 ) ^ 2 - 4000 = 4000 * 11 / 10 * 11 / 10 - 4000 = $ 840 sum = 420 * 100 / 3 * 8 = $ 1750 answer is c | gain |
math_qa__2hD18dsE3ZoeoUVz | Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 156 per Kg , the price of the third variety per Kg will be?
Choose the correct choice from the following answers:
A) rs . 147.50 B) rs . 785.50 C) rs . 178.50 D) rs . 258.50 E) none of these | <gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">2 + 2</gadget>
<output>4</output>
<gadget id="calculator">156 * 4</gadget>
<output>624</output>
<gadget id="calculator">126 + 135</gadget>
<output>261</output>
<gadget id="calculator">624 - 261</gadget>
<output>363</output>
<gadget id="calculator">363 / 2</gadget>
<output>363/2 = around 181.5</output>
<result>C</result> | C | 178.5 | Teas worth Rs. 126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs 156 per Kg , the price of the third variety per Kg will be? | {
"A": "rs . 147.50",
"B": "rs . 785.50",
"C": "rs . 178.50",
"D": "rs . 258.50",
"E": "none of these"
} | divide(subtract(multiply(156, add(add(1, 1), 2)), add(126, 135)), 2) | add(n2,n2)|add(n0,n1)|add(n4,#0)|multiply(n5,#2)|subtract(#3,#1)|divide(#4,n4)| | "explanation : since first and second varieties are mixed in equal proportions . so , their average price = rs . ( 126 + 135 ) / 2 . = > rs . 130.50 . so , the mixture is formed by mixing two varieties , one at rs . 130.50 per kg and the other at say , rs . x per kg in the ratio 2 : 2 , i . e . , 1 : 1 . we have to find x . by the rule of alligation , we have : cost of 1 kg cost of 1 kg of 1 st kind of 2 nd kind ( rs . 130.50 ) ( rs . x ) \ / mean price ( rs . 156 ) / \ x â ˆ ’ 156 22.50 = > x â ˆ ’ ( 156 / 22.50 ) = 1 . = > x â ˆ ’ 156 = 22.50 . = > x = 178.50 rs . answer : c" | other |
math_qa__jDo1iSUtsZMOJSHS | In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number of employees who take the subway to work?
Select the correct option.
A) 12
B) 13
C) 14
D) 15
E) 16 | <gadget id="calculator">48 * 3</gadget>
<output>144</output>
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">144 / 12</gadget>
<output>12</output>
<gadget id="calculator">48 - 12</gadget>
<output>36</output>
<gadget id="calculator">36 / 12</gadget>
<output>3</output>
<gadget id="calculator">12 + 3</gadget>
<output>15</output>
<result>D</result> | D | 15 | In a company with 48 employees, some part-time and some full-time, exactly (1/3) of the part-time employees and (1/4) of the full-time employees take the subway to work. What is the greatest possible number of employees who take the subway to work? | {
"A": "12",
"B": "13",
"C": "14",
"D": "15",
"E": "16"
} | add(divide(multiply(48, 3), multiply(3, 4)), divide(subtract(48, multiply(3, 4)), divide(multiply(48, 3), multiply(3, 4)))) | multiply(n0,n2)|multiply(n2,n4)|divide(#0,#1)|subtract(n0,#1)|divide(#3,#2)|add(#2,#4)| | "let part time emp = x let full time emp = y then , 48 = x + y . . . . . . . . . ( 1 ) ( 1 / 3 ) x + ( 1 / 4 ) y = no . of ppl taking the subway 4 x + 3 y / 12 = no . of ppl taking the subway using 1 x / 12 + 3 * 48 / 12 = no . of ppl taking the subway so , the minimum value of x has to be 12 . hence to maximize the no . put 36 for x 36 / 12 + 12 / 4 = 15 answer : d" | general |
math_qa__J6EWEpHUEW3sraZc | What is the maximum number of pieces of birthday cake of size 3” by 3” that can be cut from a cake 21” by 21”? Answers
A) 5 B) 7 C) 49 D) 20 E) 25 | <gadget id="calculator">21 * 21</gadget>
<output>441</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">441 / 9</gadget>
<output>49</output>
<result>C</result> | C | 49 | What is the maximum number of pieces of birthday cake of size 3” by 3” that can be cut from a cake 21” by 21”? | {
"A": "5",
"B": "7",
"C": "49",
"D": "20",
"E": "25"
} | divide(multiply(21, 21), multiply(3, 3)) | multiply(n2,n2)|multiply(n0,n0)|divide(#0,#1)| | "the prompt is essentially asking for the maximum number of 3 x 3 squares that can be cut from a larger 21 by 21 square . since each ' row ' and each ' column ' of the larger square can be sub - divided into 7 ' pieces ' each , we have ( 7 ) ( 7 ) = 49 total smaller squares ( at maximum ) . c" | physics |
math_qa__Po8ScZILHWVrMTkv | In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 37. In the company, what is the maximum number of non-managers in a department that has 9 managers?
Options
A) 44
B) 45
C) 46
D) 47
E) 48 | <gadget id="calculator">37 * 9</gadget>
<output>333</output>
<gadget id="calculator">333 / 7</gadget>
<output>333/7 = around 47.571429</output>
<gadget id="calculator">floor(333/7)</gadget>
<output>47</output>
<result>D</result> | D | 47 | In a certain company, the ratio of the number of managers to the number of non-managers in any department must always be greater than 7 : 37. In the company, what is the maximum number of non-managers in a department that has 9 managers? | {
"A": "44",
"B": "45",
"C": "46",
"D": "47",
"E": "48"
} | floor(divide(multiply(37, 9), 7)) | multiply(n1,n2)|divide(#0,n0)|floor(#1)| | "9 / 7 * 37 = 47.6 the answer is d ." | general |
math_qa__PXiBS9LgVhhwIq99 | In a class of 78 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?
Answers:
A) 26 B) 27 C) 24 D) 18 E) 11 | <gadget id="calculator">41 + 22</gadget>
<output>63</output>
<gadget id="calculator">63 - 9</gadget>
<output>54</output>
<gadget id="calculator">78 - 54</gadget>
<output>24</output>
<result>C</result> | C | 24 | In a class of 78 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": "26",
"B": "27",
"C": "24",
"D": "18",
"E": "11"
} | subtract(78, subtract(add(41, 22), 9)) | add(n1,n2)|subtract(#0,n3)|subtract(n0,#1)| | "explanation : you could solve this by drawing a venn diagram . a simpler way is to realize that you can subtract the number of students taking both languages from the numbers taking french to find the number taking only french . likewise find those taking only german . then we have : total = only french + only german + both + neither 78 = ( 41 - 9 ) + ( 22 - 9 ) + 9 + neither . not enrolled students = 24 answer : c" | other |
math_qa__GqXhxHyNp5vKme5p | In what ratio must tea at Rs.64 per Kg be mixed with tea at Rs.74 per Kg so that the mixture must be worth Rs.69 per Kg? Answers:
A) 1 : 1
B) 3 : 2
C) 4 : 3
D) 5 : 3
E) none | <gadget id="calculator">74 - 69</gadget>
<output>5</output>
<gadget id="calculator">69 - 64</gadget>
<output>5</output>
<gadget id="calculator">5 / 5</gadget>
<output>1</output>
<result>A</result> | A | 1 | In what ratio must tea at Rs.64 per Kg be mixed with tea at Rs.74 per Kg so that the mixture must be worth Rs.69 per Kg? | {
"A": "1 : 1",
"B": "3 : 2",
"C": "4 : 3",
"D": "5 : 3",
"E": "none"
} | divide(subtract(74, 69), subtract(69, 64)) | subtract(n1,n2)|subtract(n2,n0)|divide(#0,#1)| | "required ratio = 500 : 500 = 1 : 1 answer a" | other |
math_qa__E7XczKUVaMOoZUPn | 36. A 240 m long train crosses a platform of equal length in 27 s. What is the speed of the train in km/h? Choices.
A) 48
B) 60
C) 56
D) 64
E) 68 | <gadget id="calculator">2 * 240</gadget>
<output>480</output>
<gadget id="calculator">480 / 27</gadget>
<output>160/9 = around 17.777778</output>
<gadget id="calculator">3_600 / 1_000</gadget>
<output>18/5 = around 3.6</output>
<gadget id="calculator">(160/9) * (18/5)</gadget>
<output>64</output>
<result>D</result> | D | 64 | 36. A 240 m long train crosses a platform of equal length in 27 s. What is the speed of the train in km/h? | {
"A": "48",
"B": "60",
"C": "56",
"D": "64",
"E": "68"
} | multiply(divide(multiply(const_2, 240), 27), divide(const_3600, const_1000)) | divide(const_3600,const_1000)|multiply(n1,const_2)|divide(#1,n2)|multiply(#2,#0) | by the formula , speed = distance / time = ( 240 + 240 ) / 27 x ( 18 / 5 ) = 480 / 27 x 18 / 5 = 64 km / h answer : d | physics |
math_qa__BwLBFtTC0A5Sg4B0 | The base of a triangular field is three times its altitude. If the cost of cultivating the field at Rs. 24.68 per hectare be Rs. 333.18, find its base and height. Answers:
A) 100 m
B) 125 m
C) 150 m
D) 278 m
E) 300 m | <gadget id="calculator">333.18 / 24.68</gadget>
<output>13.5</output>
<gadget id="calculator">13.5 * 1_000</gadget>
<output>13_500</output>
<gadget id="calculator">13_500 / 3</gadget>
<output>4_500</output>
<gadget id="calculator">4_500 / 10</gadget>
<output>450</output>
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">450 / (3/2)</gadget>
<output>300</output>
<result>E</result> | E | 300 | The base of a triangular field is three times its altitude. If the cost of cultivating the field at Rs. 24.68 per hectare be Rs. 333.18, find its base and height. | {
"A": "100 m",
"B": "125 m",
"C": "150 m",
"D": "278 m",
"E": "300 m"
} | divide(divide(divide(multiply(divide(333.18, 24.68), const_1000), const_3), const_10), divide(const_3, const_2)) | divide(n1,n0)|divide(const_3,const_2)|multiply(#0,const_1000)|divide(#2,const_3)|divide(#3,const_10)|divide(#4,#1) | sol . area of the field = total cost / rate = ( 333.18 / 25.6 ) hectares = 13.5 hectares ( 13.5 x 10000 ) m ^ 2 = 135000 m ^ 2 . let altitude = x metres and base = 3 x metres . then , ( 1 / 2 ) * 3 x * x = 135000 < = > x ^ 2 = 90000 < = > x = 300 . base = 900 m and altitude = 300 m . ans : e | geometry |
math_qa__R6NiYf4PAl7H0b3s | A, B and C enter into a partnership by investing $11000, $15000 and $23000 respectively. At the end of 8 months, B receives $1540 as his share. Find the share of A. Choose the correct choice from the following: A) $ 811 B) $ 922 C) $ 1033 D) $ 1144 E) $ 1255 | <gadget id="calculator">15_000 * 8</gadget>
<output>120_000</output>
<gadget id="calculator">120_000 / 100</gadget>
<output>1_200</output>
<gadget id="calculator">1_540 / 1_200</gadget>
<output>77/60 = around 1.283333</output>
<gadget id="calculator">11_000 * (77/60)</gadget>
<output>42_350/3 = around 14_116.666667</output>
<gadget id="calculator">(42_350/3) * 8</gadget>
<output>338_800/3 = around 112_933.333333</output>
<gadget id="calculator">(338_800/3) / 100</gadget>
<output>3_388/3 = around 1_129.333333</output>
<result>D</result> | D | 1,144 | A, B and C enter into a partnership by investing $11000, $15000 and $23000 respectively. At the end of 8 months, B receives $1540 as his share. Find the share of A. | {
"A": "$ 811",
"B": "$ 922",
"C": "$ 1033",
"D": "$ 1144",
"E": "$ 1255"
} | divide(multiply(multiply(11000, divide(1540, divide(multiply(15000, 8), const_100))), 8), const_100) | multiply(n1,n3)|divide(#0,const_100)|divide(n4,#1)|multiply(n0,#2)|multiply(n3,#3)|divide(#4,const_100)| | "the ratio of capital of a , b and c = 11000 : 15000 : 23000 = 11 : 15 : 23 a ' s share = ( 11 / 15 ) * 1560 = $ 1144 the answer is d ." | gain |
math_qa__ALHp23FFs0v1asJG | The speed of a boat in still water is 20 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 27 minutes is: Answers
A) 9.25
B) 5.25
C) 7.25
D) 6.25
E) 11.25 | <gadget id="calculator">27 / 60</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">20 + 5</gadget>
<output>25</output>
<gadget id="calculator">(9/20) * 25</gadget>
<output>45/4 = around 11.25</output>
<result>E</result> | E | 11.25 | The speed of a boat in still water is 20 km/hr and the rate of current is 5 km/hr. The distance travelled downstream in 27 minutes is: | {
"A": "9.25",
"B": "5.25",
"C": "7.25",
"D": "6.25",
"E": "11.25"
} | multiply(divide(27, const_60), add(20, 5)) | add(n0,n1)|divide(n2,const_60)|multiply(#0,#1)| | "explanation : speed downstream = ( 20 + 5 ) kmph = 25 kmph distance travelled = ( 25 * ( 27 / 60 ) ) km = 11.25 km . answer : e" | physics |
math_qa__c1hQXcx1zbd7Z5bE | What is the least number of square tiles required to pave the floor of a room 50 m 00 cm long and 11m 25 cm broad? Choose the correct choice from the following choices:
A) 724 B) 804 C) 814 D) 9000 E) none | <gadget id="calculator">11 * 100</gadget>
<output>1_100</output>
<gadget id="calculator">1_100 + 25</gadget>
<output>1_125</output>
<gadget id="calculator">50 * 100</gadget>
<output>5_000</output>
<gadget id="calculator">1_125 * 5_000</gadget>
<output>5_625_000</output>
<gadget id="calculator">25 ** 2</gadget>
<output>625</output>
<gadget id="calculator">5_625_000 / 625</gadget>
<output>9_000</output>
<result>D</result> | D | 9,000 | What is the least number of square tiles required to pave the floor of a room 50 m 00 cm long and 11m 25 cm broad? | {
"A": "724",
"B": "804",
"C": "814",
"D": "9000",
"E": "none"
} | divide(multiply(add(multiply(11, const_100), 25), multiply(50, const_100)), power(25, const_2)) | multiply(n2,const_100)|multiply(n0,const_100)|power(n3,const_2)|add(n3,#0)|multiply(#3,#1)|divide(#4,#2) | solution length of largest tile = h . c . f . of 5000 cm & 1125 cm = 25 cm . area of each tile = ( 25 x 25 ) cm 2 ∴ required number of tiles = [ 5000 x 1125 / 25 x 25 ] = 9000 . answer d | physics |
math_qa__XhuJ3IsMfN5nWlPc | In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 65 liters and they are all empty, how much money total will it cost to fuel all cars? Choose the correct choice from the following answers
A) 320 $ B) 380 $ C) 420 $ D) 450 $ E) 528 $ | <gadget id="calculator">0.65 * 65</gadget>
<output>42.25</output>
<gadget id="calculator">42.25 * 12</gadget>
<output>507</output>
<result>E</result> | E | 528 | In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.65$. Assuming that a company owns 12 cars and that every fuel tank contains 65 liters and they are all empty, how much money total will it cost to fuel all cars? | {
"A": "320 $",
"B": "380 $",
"C": "420 $",
"D": "450 $",
"E": "528 $"
} | multiply(multiply(0.65, 65), 12) | multiply(n1,n3)|multiply(n2,#0)| | "total cost = ( 1.75 * 12 ) + ( 0.65 * 12 * 65 ) = 21 + 507 = > 528 hence answer will be ( e ) 528" | general |
math_qa__DwLezHkacuOBiVlP | Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 60. He was allowed to drop his lowest score. After doing so, his average test score improved to 65. What is the lowest test score that was dropped?
Choices.
A) 20
B) 45
C) 55
D) 65
E) 80 | <gadget id="calculator">60 * 4</gadget>
<output>240</output>
<gadget id="calculator">65 * 3</gadget>
<output>195</output>
<gadget id="calculator">240 - 195</gadget>
<output>45</output>
<result>B</result> | B | 45 | Joe’s average (arithmetic mean) test score across 4 equally weighted tests was 60. He was allowed to drop his lowest score. After doing so, his average test score improved to 65. What is the lowest test score that was dropped? | {
"A": "20",
"B": "45",
"C": "55",
"D": "65",
"E": "80"
} | subtract(multiply(60, 4), multiply(65, const_3)) | multiply(n0,n1)|multiply(n2,const_3)|subtract(#0,#1)| | "the arithmetic mean of 4 equally weighted tests was 60 . so what we can assume is that we have 4 test scores , each 60 . he dropped his lowest score and the avg went to 65 . this means that the lowest score was not 60 and other three scores had given the lowest score 5 each to make it up to 60 too . when the lowest score was removed , the other 3 scores got their 5 back . so the lowest score was 3 * 5 = 15 less than 60 . so the lowest score = 60 - 15 = 45 answer ( b )" | general |
math_qa__WjqbYIglz64jNmuU | In Kaya's teacher's desk there are 9 pink highlighters, 8 yellow highlighters, and 5 blue highlighters. How many highlighters are there in all? Options: A) 11 B) 22 C) 77 D) 33 E) 88 | <gadget id="calculator">9 + 8</gadget>
<output>17</output>
<gadget id="calculator">17 + 5</gadget>
<output>22</output>
<result>B</result> | B | 22 | In Kaya's teacher's desk there are 9 pink highlighters, 8 yellow highlighters, and 5 blue highlighters. How many highlighters are there in all? | {
"A": "11",
"B": "22",
"C": "77",
"D": "33",
"E": "88"
} | add(add(9, 8), 5) | add(n0,n1)|add(n2,#0) | add the numbers of highlighters . 9 + 8 + 5 = 22 . answer is b . | general |
math_qa__bi1U4m7fyOlQMcPx | 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 500 bolts? Choose the most appropriate option:
A) 36 B) 72 C) 120 D) 144 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">500 / (25/6)</gadget>
<output>120</output>
<result>C</result> | C | 120 | 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 500 bolts? | {
"A": "36",
"B": "72",
"C": "120",
"D": "144",
"E": "180"
} | divide(500, 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 500 bolts 500 * 6 / 25 = 120 mins ans c" | physics |
math_qa__zyFnJjU6obuAbiuq | the average mark of a class of thirty two students is 75 . if 3 students whose marks are 28 and 34 are removed , then find the approximate average mark of the remaining students of the class . Choices
A) 71
B) 74
C) 78
D) 70
E) 80 | <gadget id="calculator">34 - 2</gadget>
<output>32</output>
<gadget id="calculator">75 * 32</gadget>
<output>2_400</output>
<gadget id="calculator">2_400 - 28</gadget>
<output>2_372</output>
<gadget id="calculator">2_372 - 34</gadget>
<output>2_338</output>
<gadget id="calculator">32 - 3</gadget>
<output>29</output>
<gadget id="calculator">2_338 / 29</gadget>
<output>2_338/29 = around 80.62069</output>
<result>C</result> | C | 78 | the average mark of a class of thirty two students is 75 . if 3 students whose marks are 28 and 34 are removed , then find the approximate average mark of the remaining students of the class . | {
"A": "71",
"B": "74",
"C": "78",
"D": "70",
"E": "80"
} | divide(subtract(subtract(multiply(75, subtract(34, const_2)), 28), 34), subtract(subtract(34, const_2), 3)) | subtract(n3,const_2)|multiply(n0,#0)|subtract(#0,n1)|subtract(#1,n2)|subtract(#3,n3)|divide(#4,#2) | exp . total mark of 32 students = 75 * 32 = 2400 , total mark after the removal of 2 students = 2400 – ( 28 + 34 ) = 2400 – 62 = 2338 approximate average mark = 2338 / ( 32 - 2 ) = 2338 / 30 = 78 answer : c | general |
math_qa__ng8cPCUgXom3C2mA | A can do a piece of work in 6days, and B can do it in 5days. If C, who can do the work in 12days, joins them, how long will they take to complete the work? Choose the correct choice from the following choices
A) 2 days B) 3.5 days C) 2.2 days D) 4 days E) 5.7 days | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/6) + (1/5)</gadget>
<output>11/30 = around 0.366667</output>
<gadget id="calculator">(1/12) + (11/30)</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">1 / (9/20)</gadget>
<output>20/9 = around 2.222222</output>
<result>C</result> | C | 2.2 | A can do a piece of work in 6days, and B can do it in 5days. If C, who can do the work in 12days, joins them, how long will they take to complete the work? | {
"A": "2 days",
"B": "3.5 days",
"C": "2.2 days",
"D": "4 days",
"E": "5.7 days"
} | divide(const_1, add(divide(const_1, 12), add(divide(const_1, 6), divide(const_1, 5)))) | divide(const_1,n0)|divide(const_1,n1)|divide(const_1,n2)|add(#0,#1)|add(#3,#2)|divide(const_1,#4) | a , b , and c do the work in = 6 * 5 * 12 / 6 * 5 + 5 * 12 + 6 * 12 = 360 / 162 = 2.2 days answer is c | physics |
math_qa__CSw2cXYXuNYr6AzW | The perimeter of a triangle is 39 cm and the inradius of the triangle is 1.5 cm. What is the area of the triangle? Pick:
A) 22 B) 35 C) 77 D) 54 E) 29 | <gadget id="calculator">(1.5 * 39) / 2</gadget>
<output>29.25</output>
<result>E</result> | E | 29 | The perimeter of a triangle is 39 cm and the inradius of the triangle is 1.5 cm. What is the area of the triangle? | {
"A": "22",
"B": "35",
"C": "77",
"D": "54",
"E": "29"
} | triangle_area(1.5, 39) | triangle_area(n0,n1)| | "area of a triangle = r * s where r is the inradius and s is the semi perimeter of the triangle . area of triangle = 1.5 * 39 / 2 = 29 cm 2 answer : e" | geometry |
math_qa__EGnQSKvJgGxLWdrt | The average age of 20 students of a class is 20 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 20th student is
Choose the correct choice from the following answers
A) 186
B) 120
C) 152
D) 220
E) 220 | <gadget id="calculator">20 * 20</gadget>
<output>400</output>
<gadget id="calculator">5 * 14</gadget>
<output>70</output>
<gadget id="calculator">9 * 16</gadget>
<output>144</output>
<gadget id="calculator">70 + 144</gadget>
<output>214</output>
<gadget id="calculator">400 - 214</gadget>
<output>186</output>
<result>A</result> | A | 186 | The average age of 20 students of a class is 20 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years, The age of the 20th student is | {
"A": "186",
"B": "120",
"C": "152",
"D": "220",
"E": "220"
} | subtract(multiply(20, 20), add(multiply(5, 14), multiply(9, 16))) | multiply(n0,n0)|multiply(n2,n3)|multiply(n4,n5)|add(#1,#2)|subtract(#0,#3)| | "explanation : age of the 20 th student = [ 20 * 20 - ( 14 * 5 + 16 * 9 ) ] = ( 400 - 214 ) = 186 years . answer : a" | general |
math_qa__4vYVCajAPnGD4STk | Little Roshini had $10.50. He spent some money on sweets and gave to his two friends $3.40 each. How much money was spent for sweets? Choose the correct choice from the following.
A) $ 4.70 B) $ 4.80 C) $ 3.85 D) $ 3.80 E) $ 3.70 | <gadget id="calculator">2 * 3.4</gadget>
<output>6.8</output>
<gadget id="calculator">10.5 - 6.8</gadget>
<output>3.7</output>
<result>E</result> | E | 3.7 | Little Roshini had $10.50. He spent some money on sweets and gave to his two friends $3.40 each. How much money was spent for sweets? | {
"A": "$ 4.70",
"B": "$ 4.80",
"C": "$ 3.85",
"D": "$ 3.80",
"E": "$ 3.70"
} | subtract(10.5, multiply(const_2, 3.4)) | multiply(n1,const_2)|subtract(n0,#0) | roshini spent and gave to his two friends a total of x + 3.40 + 3.40 = $ 3.65 money spent for sweet = 10.50 - 6.80 = $ 3.70 correct answer is e ) $ 3.70 | general |
math_qa__v4S1j2UpUY8IRlDd | A batsman makes a score of 110 runs in the 11th inning and thus increases his average by 5. Find his average after 11th inning. Pick
A) 40 B) 50 C) 60 D) 45 E) 56 | <gadget id="calculator">11 * 5</gadget>
<output>55</output>
<gadget id="calculator">110 - 55</gadget>
<output>55</output>
<gadget id="calculator">55 + 5</gadget>
<output>60</output>
<result>C</result> | C | 60 | A batsman makes a score of 110 runs in the 11th inning and thus increases his average by 5. Find his average after 11th inning. | {
"A": "40",
"B": "50",
"C": "60",
"D": "45",
"E": "56"
} | add(subtract(110, multiply(11, 5)), 5) | multiply(n1,n2)|subtract(n0,#0)|add(n2,#1)| | "let the average after 11 th inning = x then , average after 10 th inning = x - 5 10 ( x - 5 ) + 110 = 11 x x = 110 - 50 = 60 answer is c" | general |
math_qa__uVSSPzgMteHxWRJv | A retailer bought a shirt at wholesale and marked it up 80% to its initial price of $45. By how many more dollars does he need to increase the price to achieve a 100% markup?
Choose the correct choice from the following answers.
A) 1
B) 2
C) 3
D) 4
E) 5 | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 + (4/5)</gadget>
<output>9/5 = around 1.8</output>
<gadget id="calculator">45 / (9/5)</gadget>
<output>25</output>
<gadget id="calculator">25 * 2</gadget>
<output>50</output>
<gadget id="calculator">50 - 45</gadget>
<output>5</output>
<result>E</result> | E | 5 | A retailer bought a shirt at wholesale and marked it up 80% to its initial price of $45. By how many more dollars does he need to increase the price to achieve a 100% markup? | {
"A": "1",
"B": "2",
"C": "3",
"D": "4",
"E": "5"
} | subtract(multiply(divide(45, add(const_1, divide(80, 100))), const_2), 45) | divide(n0,n2)|add(#0,const_1)|divide(n1,#1)|multiply(#2,const_2)|subtract(#3,n1)| | "x is the buy price . x + 80 % x = 1,8 x is the sale price = 45 so x , the buy price becomes 45 / 1,8 = 25 % 100 mark up means x + 100 % x = 2 x so 50 . 50 - 45 = 5 answer : e" | general |
math_qa__clJkpoSWDM5ixQLK | Indu gave Bindu Rs.1250 on compound interest for 2 years at 8% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? Select the correct option:
A) 1 B) 2 C) 8 D) 4 E) 5 | <gadget id="calculator">8 / 100</gadget>
<output>2/25 = around 0.08</output>
<gadget id="calculator">1 + (2/25)</gadget>
<output>27/25 = around 1.08</output>
<gadget id="calculator">(27/25) ** 2</gadget>
<output>729/625 = around 1.1664</output>
<gadget id="calculator">1_250 * (729/625)</gadget>
<output>1_458</output>
<gadget id="calculator">1_458 - 1_250</gadget>
<output>208</output>
<gadget id="calculator">1_250 * (2/25)</gadget>
<output>100</output>
<gadget id="calculator">100 * 2</gadget>
<output>200</output>
<gadget id="calculator">208 - 200</gadget>
<output>8</output>
<result>C</result> | C | 8 | Indu gave Bindu Rs.1250 on compound interest for 2 years at 8% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? | {
"A": "1",
"B": "2",
"C": "8",
"D": "4",
"E": "5"
} | subtract(subtract(multiply(1250, power(add(const_1, divide(8, const_100)), 2)), 1250), multiply(multiply(1250, divide(8, const_100)), 2)) | divide(n2,const_100)|add(#0,const_1)|multiply(n0,#0)|multiply(n1,#2)|power(#1,n1)|multiply(n0,#4)|subtract(#5,n0)|subtract(#6,#3)| | "1250 = d ( 100 / 4 ) 8 d = 8 answer : c" | gain |
math_qa__ck1Yl8y7ueBITNVw | The ratio between the length and the breadth of a rectangular park is 1 : 2. If a man cycling along the boundary of the park at the speed of 6 km/hr completes one round in 6 min, then the area of the park (in sq. m) is? Choices.
A) 600 m B) 6000 m C) 20000 m D) 100 m E) 2000 m | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">10 * 6</gadget>
<output>60</output>
<gadget id="calculator">6 / 60</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) * 6</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) * 1_000</gadget>
<output>600</output>
<gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">600 / 3</gadget>
<output>200</output>
<gadget id="calculator">200 / 2</gadget>
<output>100</output>
<gadget id="calculator">100 * 2</gadget>
<output>200</output>
<gadget id="calculator">100 * 200</gadget>
<output>20_000</output>
<result>C</result> | C | 20,000 | The ratio between the length and the breadth of a rectangular park is 1 : 2. If a man cycling along the boundary of the park at the speed of 6 km/hr completes one round in 6 min, then the area of the park (in sq. m) is? | {
"A": "600 m",
"B": "6000 m",
"C": "20000 m",
"D": "100 m",
"E": "2000 m"
} | rectangle_area(divide(divide(multiply(multiply(divide(6, multiply(const_10, multiply(const_3, const_2))), 6), const_1000), add(1, 2)), const_2), multiply(divide(divide(multiply(multiply(divide(6, multiply(const_10, multiply(const_3, const_2))), 6), const_1000), add(1, 2)), const_2), 2)) | add(n0,n1)|multiply(const_2,const_3)|multiply(#1,const_10)|divide(n2,#2)|multiply(n3,#3)|multiply(#4,const_1000)|divide(#5,#0)|divide(#6,const_2)|multiply(n1,#7)|rectangle_area(#7,#8)| | "perimeter = distance covered in 6 min . = ( 6000 x 6 ) / 60 m = 600 m . let length = 1 x metres and breadth = 2 x metres . then , 2 ( 1 x + 2 x ) = 600 or x = 100 . length = 100 m and breadth = 200 m . area = ( 100 x 200 ) m 2 = 20000 m c" | physics |
math_qa__5MXtdxDRFuA9cL3K | At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 7.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1? Choose the correct choice from the following answers.
A) $ 0.50 B) $ 1.00 C) $ 1.25 D) $ 1.50 E) $ 1.75 | <gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">0.25 * 4</gadget>
<output>1</output>
<gadget id="calculator">1 + 0.25</gadget>
<output>1.25</output>
<result>C</result> | C | 1.25 | At a certain company, each employee has a salary grade s that is at least 1 and at most 5. Each employee receives an hourly wage p, in dollars, determined by the formula p = 7.50 + 0.25(s – 1). An employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1? | {
"A": "$ 0.50",
"B": "$ 1.00",
"C": "$ 1.25",
"D": "$ 1.50",
"E": "$ 1.75"
} | add(multiply(0.25, subtract(5, 1)), 0.25) | subtract(n1,n0)|multiply(n3,#0)|add(n3,#1) | oa is definitely wrong . the answer should be c . | general |
math_qa__w5jDUSrGZo0h53oF | Running at the same constant rate,6 identical machines can produce a total of 270 bottles per minute.At this rate,how many bottles could 12 such machines produce in 4 minutes ?
Pick one.
A) 648 B) 1800 C) 2700 D) 2160 E) none of these | <gadget id="calculator">270 / 6</gadget>
<output>45</output>
<gadget id="calculator">45 * 4</gadget>
<output>180</output>
<gadget id="calculator">180 * 12</gadget>
<output>2_160</output>
<result>D</result> | D | 2,160 | Running at the same constant rate,6 identical machines can produce a total of 270 bottles per minute.At this rate,how many bottles could 12 such machines produce in 4 minutes ? | {
"A": "648",
"B": "1800",
"C": "2700",
"D": "2160",
"E": "none of these"
} | multiply(multiply(divide(270, 6), 4), 12) | divide(n1,n0)|multiply(n3,#0)|multiply(n2,#1)| | "solution let the required number of bottles be x . more machines , more bottles ( direct proportion ) more minutes , more bottles ( direct proportion ) â ˆ ´ 6 ã — 1 ã — x = 12 ã — 4 ã — 270 â ‡ ” x = 12 x 4 x 270 / 6 = 2160 . answer d" | gain |
math_qa__pTEmGAnF9dv0htBo | Two friends plan to walk along a 22-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 20% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other?
Choose the correct option
A) 10 B) 11 C) 12 D) 13 E) 14 | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) + 1</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">(6/5) + 1</gadget>
<output>11/5 = around 2.2</output>
<gadget id="calculator">22 / (11/5)</gadget>
<output>10</output>
<gadget id="calculator">10 * (6/5)</gadget>
<output>12</output>
<result>C</result> | C | 12 | Two friends plan to walk along a 22-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 20% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other? | {
"A": "10",
"B": "11",
"C": "12",
"D": "13",
"E": "14"
} | multiply(divide(22, add(add(divide(20, const_100), const_1), const_1)), add(divide(20, const_100), const_1)) | divide(n1,const_100)|add(#0,const_1)|add(#1,const_1)|divide(n0,#2)|multiply(#1,#3)| | "if q complete x kilometers , then p completes 1.2 x kilometers . x + 1.2 x = 22 2.2 x = 22 x = 10 then p will have have walked 1.2 * 10 = 12 km . the answer is c ." | gain |
math_qa__hdeFT1B4CBGJjf5N | A car traveled 40% of the way from Town X to Town Y at an average speed of 40 mph. The car traveled at an average speed of v mph for the remaining part of the trip. The average speed for the entire trip was 50 mph. What is v in mph? Choose the correct choice from the following answers: A) 50 B) 45 C) 55 D) 60 E) 65 | <gadget id="calculator">100 - 40</gadget>
<output>60</output>
<gadget id="calculator">40 / 40</gadget>
<output>1</output>
<gadget id="calculator">60 / 1</gadget>
<output>60</output>
<result>D</result> | D | 60 | A car traveled 40% of the way from Town X to Town Y at an average speed of 40 mph. The car traveled at an average speed of v mph for the remaining part of the trip. The average speed for the entire trip was 50 mph. What is v in mph? | {
"A": "50",
"B": "45",
"C": "55",
"D": "60",
"E": "65"
} | divide(subtract(const_100, 40), divide(40, 40)) | divide(n0,n0)|subtract(const_100,n0)|divide(#1,#0)| | "assume total distance = 100 miles time taken for 40 miles = 40 / 40 = 1 hour time taken for the rest of the 60 miles = 60 / v hours . average speed = 50 therefore the total time needed = 2 hours . 2 = 1 + 60 / v hence v = 60 mph answer : d" | general |
math_qa__Ki5hUuwwqizKkuC2 | The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, what is the weight of B? Options.
A) 28
B) 30
C) 32
D) 34
E) 31 | <gadget id="calculator">40 * 2</gadget>
<output>80</output>
<gadget id="calculator">43 * 2</gadget>
<output>86</output>
<gadget id="calculator">80 + 86</gadget>
<output>166</output>
<gadget id="calculator">45 * 3</gadget>
<output>135</output>
<gadget id="calculator">166 - 135</gadget>
<output>31</output>
<result>E</result> | E | 31 | The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, what is the weight of B? | {
"A": "28",
"B": "30",
"C": "32",
"D": "34",
"E": "31"
} | subtract(add(multiply(40, const_2), multiply(43, const_2)), multiply(45, const_3)) | multiply(n1,const_2)|multiply(n2,const_2)|multiply(n0,const_3)|add(#0,#1)|subtract(#3,#2)| | "let the weight of a , b and c are a , b and c respectively . average weight of a , b and c = 45 a + b + c = 45 × 3 = 135 - - - equation ( 1 ) average weight of a and b = 40 a + b = 40 × 2 = 80 - - - equation ( 2 ) average weight of b and c = 43 b + c = 43 × 2 = 86 - - - equation ( 3 ) equation ( 2 ) + equation ( 3 ) - equation ( 1 ) = > a + b + b + c - ( a + b + c ) = 80 + 86 - 135 = > b = 80 + 86 - 135 = 166 - 135 = 31 weight of b = 31 kg answer is e ." | general |
math_qa__2PBZ9KaIW3XY9AOw | Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 80% more than Bert had in savings, and separately, the same price was also 20% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings. Choose the most appropriate option:
A) 1 : 4 B) 4 : 1 C) 2 : 3 D) 3 : 2 E) 3 : 4 | <gadget id="calculator">100 + 80</gadget>
<output>180</output>
<gadget id="calculator">100 / 180</gadget>
<output>5/9 = around 0.555556</output>
<gadget id="calculator">100 + 20</gadget>
<output>120</output>
<gadget id="calculator">100 / 120</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">(5/9) / (5/6)</gadget>
<output>2/3 = around 0.666667</output>
<result>C</result> | C | 0.666667 | Bert and Rebecca were looking at the price of a condominium. The price of the condominium was 80% more than Bert had in savings, and separately, the same price was also 20% more than Rebecca had in savings. What is the ratio of what Bert has in savings to what Rebecca has in savings. | {
"A": "1 : 4",
"B": "4 : 1",
"C": "2 : 3",
"D": "3 : 2",
"E": "3 : 4"
} | divide(divide(const_100, add(const_100, 80)), divide(const_100, add(const_100, 20))) | add(n0,const_100)|add(n1,const_100)|divide(const_100,#0)|divide(const_100,#1)|divide(#2,#3)| | "suppose bert had 100 so price becomes 180 , this 180 = 1.2 times r ' s saving . . so r ' s saving becomes 150 so required ratio is 100 : 150 = 2 : 3 answer : c" | gain |
math_qa__q3CrmtKI9d55AsLD | If 4<x<6<y<10, then what is the greatest possible positive integer difference of x and y?
Choose the correct choice
A) 3 B) 4 C) 5 D) 6 E) 7 | <gadget id="calculator">10 - 4</gadget>
<output>6</output>
<gadget id="calculator">6 - 1</gadget>
<output>5</output>
<result>C</result> | C | 5 | If 4<x<6<y<10, then what is the greatest possible positive integer difference of x and y? | {
"A": "3",
"B": "4",
"C": "5",
"D": "6",
"E": "7"
} | subtract(subtract(10, 4), const_1) | subtract(n2,n0)|subtract(#0,const_1)| | "4 < x < 6 < y < 10 ; 4 < x y < 10 4 + y < x + 10 y - x < 6 . positive integer difference is 5 ( for example y = 9.5 and x = 4.5 ) answer : c ." | general |
math_qa__eaKqJ7KjWjCOu7bN | A car traveling at a certain constant speed takes 15 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 48 kilometers per hour. At what speed, in kilometers per hour, is the car traveling? Choose the correct answer:
A) 39 B) 40 C) 41 D) 42 E) 43 | <gadget id="calculator">1 / 48</gadget>
<output>1/48 = around 0.020833</output>
<gadget id="calculator">3_600 * (1/48)</gadget>
<output>75</output>
<gadget id="calculator">75 + 15</gadget>
<output>90</output>
<gadget id="calculator">90 / 3_600</gadget>
<output>1/40 = around 0.025</output>
<gadget id="calculator">1 / (1/40)</gadget>
<output>40</output>
<result>B</result> | B | 40 | A car traveling at a certain constant speed takes 15 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 48 kilometers per hour. At what speed, in kilometers per hour, is the car traveling? | {
"A": "39",
"B": "40",
"C": "41",
"D": "42",
"E": "43"
} | divide(1, divide(add(multiply(const_3600, divide(1, 48)), 15), const_3600)) | divide(n1,n3)|multiply(#0,const_3600)|add(n0,#1)|divide(#2,const_3600)|divide(n1,#3)| | "48 * t = 1 km = > t = 1 / 48 km / h v * ( t + 15 / 3600 ) = 1 v ( 1 / 48 + 15 / 3600 ) = 1 v ( 90 / 3600 ) = 1 v = 40 km / h the answer is b ." | physics |
math_qa__P92f01m7TZT0MRhP | In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.75$. Assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars? Choose the correct choice from the following options: A) 320 $ B) 420 $ C) 490 $ D) 516 $ E) 680 $ | <gadget id="calculator">0.75 * 55</gadget>
<output>41.25</output>
<gadget id="calculator">41.25 * 12</gadget>
<output>495</output>
<result>D</result> | D | 516 | In a fuel station the service costs $1.75 per car, every liter of fuel costs 0.75$. Assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty, how much money total will it cost to fuel all cars? | {
"A": "320 $",
"B": "420 $",
"C": "490 $",
"D": "516 $",
"E": "680 $"
} | multiply(multiply(0.75, 55), 12) | multiply(n1,n3)|multiply(n2,#0)| | 12 * 1.75 + 0.75 * 12 * 55 = 516 hence - d | general |
math_qa__Y2oeZb8o2wig5Z1b | A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.15 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost? Options
A) 1276
B) 1200
C) 2832
D) 1800
E) 1236 | <gadget id="calculator">1_200 / 30</gadget>
<output>40</output>
<gadget id="calculator">30 + 40</gadget>
<output>70</output>
<gadget id="calculator">30 ** 2</gadget>
<output>900</output>
<gadget id="calculator">40 ** 2</gadget>
<output>1_600</output>
<gadget id="calculator">900 + 1_600</gadget>
<output>2_500</output>
<gadget id="calculator">2_500 ** (1/2)</gadget>
<output>50</output>
<gadget id="calculator">70 + 50</gadget>
<output>120</output>
<gadget id="calculator">120 * 15</gadget>
<output>1_800</output>
<result>D</result> | D | 1,800 | A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.15 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost? | {
"A": "1276",
"B": "1200",
"C": "2832",
"D": "1800",
"E": "1236"
} | multiply(add(add(30, divide(1200, 30)), sqrt(add(power(30, const_2), power(divide(1200, 30), const_2)))), 15) | divide(n1,n3)|power(n3,const_2)|add(n3,#0)|power(#0,const_2)|add(#1,#3)|sqrt(#4)|add(#2,#5)|multiply(n0,#6) | explanation : l * 30 = 1200 è l = 40 40 + 30 + 50 = 120 120 * 15 = 1800 answer : option d | geometry |
math_qa__ATHpbFhk6WwrbdU6 | There are 7 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played? Choose the correct choice from the following options.
A) 21 B) 30 C) 45 D) 60 E) 90 | <gadget id="calculator">7 - 1</gadget>
<output>6</output>
<gadget id="calculator">7 * 6</gadget>
<output>42</output>
<gadget id="calculator">42 / 2</gadget>
<output>21</output>
<result>A</result> | A | 21 | There are 7 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played? | {
"A": "21",
"B": "30",
"C": "45",
"D": "60",
"E": "90"
} | divide(multiply(7, subtract(7, const_1)), const_2) | subtract(n0,const_1)|multiply(n0,#0)|divide(#1,const_2)| | "7 players are there . two players play one game with one another . so 7 c 2 = 7 * 6 / 2 = 21 so option a is correct" | general |
math_qa__GSUoZdnOL0ULRQoO | The diagonals of a rhombus are 12 cm and 15 cm. Find its area? Choose one: A) 30 B) 45 C) 90 D) 120 E) 180 | <gadget id="calculator">(12 * 15) / 2</gadget>
<output>90</output>
<result>C</result> | C | 90 | The diagonals of a rhombus are 12 cm and 15 cm. Find its area? | {
"A": "30",
"B": "45",
"C": "90",
"D": "120",
"E": "180"
} | rhombus_area(12, 15) | rhombus_area(n0,n1)| | "area = 0.5 x 12 x 15 = 90 cm â ² answer : c" | geometry |
math_qa__dnjPHqgOCbT7vO3S | There are 50 students in a class. If 10 % are absent on a particular day, find the number of students present in the class. Answers.
A) 43 B) 36 C) 28 D) 45 E) 11 | <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) * 50</gadget>
<output>45</output>
<result>D</result> | D | 45 | There are 50 students in a class. If 10 % are absent on a particular day, find the number of students present in the class. | {
"A": "43",
"B": "36",
"C": "28",
"D": "45",
"E": "11"
} | multiply(subtract(const_1, divide(10, const_100.0)), 50) | divide(n1,const_100.0)|subtract(const_1,#0)|multiply(#1,n0)| | "number of students absent on a particular day = 10 % of 50 i . e . , 10 / 100 × 50 = 5 therefore , the number of students present = 50 - 5 = 45 students . answer : d" | gain |
math_qa__bUusLQ45A0R2m4hg | The speed at which a woman can row a boat in still water is 300 kmph. If he rows downstream, where the speed of current is 42 kmph, what time will he take to cover 190 metres? Pick one: A) 1 B) 2 C) 3 D) 4 E) 5 | <gadget id="calculator">300 + 42</gadget>
<output>342</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">342 * (5/18)</gadget>
<output>95</output>
<gadget id="calculator">190 / 95</gadget>
<output>2</output>
<result>B</result> | B | 2 | The speed at which a woman can row a boat in still water is 300 kmph. If he rows downstream, where the speed of current is 42 kmph, what time will he take to cover 190 metres? | {
"A": "1",
"B": "2",
"C": "3",
"D": "4",
"E": "5"
} | divide(190, multiply(add(300, 42), const_0_2778)) | add(n0,n1)|multiply(#0,const_0_2778)|divide(n2,#1)| | "speed of the boat downstream = 300 + 42 = 342 kmph = 342 * 5 / 18 = 95 m / s hence time taken to cover 190 m = 190 / 95 = 2 seconds . answer : b" | physics |
math_qa__DjRnIF1nXScPtf1z | In a circle with a radius of 6, what is the area of the biggest rectangle that can be cut out of this circle ?
Choose the correct choice from the following answers:
A) 12
B) 96
C) 50
D) 72
E) 144 | <gadget id="calculator">6 * 2</gadget>
<output>12</output>
<gadget id="calculator">12 ** 2</gadget>
<output>144</output>
<gadget id="calculator">144 / 2</gadget>
<output>72</output>
<gadget id="calculator">72 ** (1/2)</gadget>
<output>6*sqrt(2) = around 8.485281</output>
<gadget id="calculator">(6*sqrt(2)) ** 2</gadget>
<output>72</output>
<result>D</result> | D | 72 | In a circle with a radius of 6, what is the area of the biggest rectangle that can be cut out of this circle ? | {
"A": "12",
"B": "96",
"C": "50",
"D": "72",
"E": "144"
} | power(sqrt(divide(power(multiply(6, const_2), const_2), const_2)), const_2) | multiply(n0,const_2)|power(#0,const_2)|divide(#1,const_2)|sqrt(#2)|power(#3,const_2) | the biggest rectangle would be a square , whose diagonal is 12 ( 6 + 6 ) if side of square is a , 144 = a ^ 2 + a ^ 2 = 2 a ^ 2 so area of square = a ^ 2 = 144 / 2 = 72 answer : d | geometry |
math_qa__nZwnLx58OP1YW7pm | The speed of a boat in still water in 42 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 44 minutes is: Pick one: A) 86.6 km B) 46.6 km C) 33 km D) 35.6 km E) 26.6 km | <gadget id="calculator">42 + 3</gadget>
<output>45</output>
<gadget id="calculator">44 / 60</gadget>
<output>11/15 = around 0.733333</output>
<gadget id="calculator">45 * (11/15)</gadget>
<output>33</output>
<result>C</result> | C | 33 | The speed of a boat in still water in 42 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 44 minutes is: | {
"A": "86.6 km",
"B": "46.6 km",
"C": "33 km",
"D": "35.6 km",
"E": "26.6 km"
} | multiply(add(42, 3), divide(44, const_60)) | add(n0,n1)|divide(n2,const_60)|multiply(#0,#1)| | "speed downstream = ( 42 + 3 ) = 45 kmph time = 44 minutes = 44 / 60 hour = 11 / 15 hour distance travelled = time × speed = 11 / 15 × 45 = 33 km answer : c" | physics |
math_qa__uxJOXl0PqZtza4Kk | Find the total average marks of all the students in 2 separate classes, if the average marks of students in the first class of 39 students is 45 and that of another class of 35 students is 70. Choose the correct choice from the following options.
A) 55.8
B) 51.8
C) 53.8
D) 56.8
E) 52.8 | <gadget id="calculator">45 * 1</gadget>
<output>45</output>
<gadget id="calculator">45 + 4</gadget>
<output>49</output>
<gadget id="calculator">49 + 12</gadget>
<output>61</output>
<gadget id="calculator">61 - 4</gadget>
<output>57</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">57 - (1/4)</gadget>
<output>227/4 = around 56.75</output>
<gadget id="calculator">(227/4) + 1</gadget>
<output>231/4 = around 57.75</output>
<gadget id="calculator">(231/4) - 1</gadget>
<output>227/4 = around 56.75</output>
<result>D</result> | D | 56.8 | Find the total average marks of all the students in 2 separate classes, if the average marks of students in the first class of 39 students is 45 and that of another class of 35 students is 70. | {
"A": "55.8",
"B": "51.8",
"C": "53.8",
"D": "56.8",
"E": "52.8"
} | subtract(add(subtract(subtract(add(add(multiply(45, const_1), const_4), const_12), const_4), const_0_25), const_1), const_1) | multiply(n2,const_1)|add(#0,const_4)|add(#1,const_12)|subtract(#2,const_4)|subtract(#3,const_0_25)|add(#4,const_1)|subtract(#5,const_1) | sum of the marks for the class of 39 students = 39 * 45 = 1755 sum of the marks for the class of 35 students = 35 * 70 = 2450 sum of the marks for the class of 74 students = 1755 + 2450 = 4205 average marks of all the students = 4205 / 74 = 56.8 answer : d | general |
math_qa__JJERytPJTMljsPMm | In an examination, 300 students appeared. Out of these students; 27 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed. Choose the correct choice from the following choices
A) 33 B) 57 C) 54 D) 99 E) 01 | <gadget id="calculator">27 + 54</gadget>
<output>81</output>
<gadget id="calculator">100 - 81</gadget>
<output>19</output>
<gadget id="calculator">300 * 19</gadget>
<output>5_700</output>
<gadget id="calculator">5_700 / 100</gadget>
<output>57</output>
<result>B</result> | B | 57 | In an examination, 300 students appeared. Out of these students; 27 % got first division, 54 % got second division and the remaining just passed. Assuming that no student failed; find the number of students who just passed. | {
"A": "33",
"B": "57",
"C": "54",
"D": "99",
"E": "01"
} | divide(multiply(300, subtract(const_100, add(27, 54))), const_100) | add(n1,n2)|subtract(const_100,#0)|multiply(n0,#1)|divide(#2,const_100)| | "the number of students with first division = 27 % of 300 = 27 / 100 × 300 = 8100 / 100 = 81 and , the number of students with second division = 54 % of 300 = 54 / 100 × 300 = 16200 / 100 = 162 therefore , the number of students who just passed = 300 – ( 81 + 162 ) = 57 answer : b" | general |
math_qa__yBZcnW5I3aOeaWup | X starts a business with Rs.77000. Y joins in the business after 5 months with Rs.42000. What will be the ratio in which they should share the profit at the end of the year? Choices:
A) 21 : 23 B) 23 : 45 C) 22 : 7 D) 25 : 29 E) none of these | <gadget id="calculator">77_000 * 12</gadget>
<output>924_000</output>
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">42_000 * 7</gadget>
<output>294_000</output>
<gadget id="calculator">924_000 / 294_000</gadget>
<output>22/7 = around 3.142857</output>
<result>C</result> | C | 3.142857 | X starts a business with Rs.77000. Y joins in the business after 5 months with Rs.42000. What will be the ratio in which they should share the profit at the end of the year? | {
"A": "21 : 23",
"B": "23 : 45",
"C": "22 : 7",
"D": "25 : 29",
"E": "none of these"
} | divide(multiply(77000, const_12), multiply(42000, add(const_4, const_3))) | add(const_3,const_4)|multiply(n0,const_12)|multiply(n2,#0)|divide(#1,#2)| | "explanation : ratio in which they should share the profit = ratio of the investments multiplied by the time period = 77000 * 12 : 42000 * 7 = 77 * 12 : 42 * 7 = 11 * 2 : 7 = 22 : 7 . answer : option c" | other |
math_qa__q7vh61srmM5nkUNu | What is the % change in the area of a rectangle when its length increases by 10% and its width decreases by 10%? Options:
A) 0 % B) 20 % increase C) 20 % decrease D) 1 % decrease E) insufficient data | <gadget id="calculator">100 + 10</gadget>
<output>110</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">110 * 90</gadget>
<output>9_900</output>
<gadget id="calculator">9_900 / 100</gadget>
<output>99</output>
<gadget id="calculator">100 - 99</gadget>
<output>1</output>
<result>D</result> | D | 1 | What is the % change in the area of a rectangle when its length increases by 10% and its width decreases by 10%? | {
"A": "0 %",
"B": "20 % increase",
"C": "20 % decrease",
"D": "1 % decrease",
"E": "insufficient data"
} | subtract(const_100, divide(multiply(add(const_100, 10), subtract(const_100, 10)), const_100)) | add(n0,const_100)|subtract(const_100,n0)|multiply(#0,#1)|divide(#2,const_100)|subtract(const_100,#3)| | "explanatory answer whenever you encounter problems like this , use a numerical example and then proceed . for ease of computation , it is safe in most cases , to assume the length to be 100 units and the width to be 100 units . ( remember , a square is a rectangle too and the problem works the same way when you assume different values for length and width . computation becomes a bit tedious with different values for length and width ) area of a rectangle = length * width = 100 * 100 = 10,000 sq units . when the length increases by 10 % , the new length becomes 110 units . and as the width decreases by 10 % , new width becomes 90 units . therefore , new area = 110 * 90 = 9900 sq units . new area is 100 sq units lesser than the original area . % change in area = ( ( change in area ) / ( original area ) ) * 100 = ( 100 / 10,000 ) * 100 = 1 % decrease in area the correct choice is ( d )" | geometry |
math_qa__Etk6NO0shqN9cY7w | On a scale of map,0.6 cm represent 6.6 km.If the distance between the points on the map is 80.5 cm,the actual distance between these points is : Choose the correct choice from the following answers
A) 9 km B) 72.5 km C) 190.75 km D) 885.5 km E) none of these | <gadget id="calculator">80.5 * 6.6</gadget>
<output>531.3</output>
<gadget id="calculator">531.3 / 0.6</gadget>
<output>885.5</output>
<result>D</result> | D | 885.5 | On a scale of map,0.6 cm represent 6.6 km.If the distance between the points on the map is 80.5 cm,the actual distance between these points is : | {
"A": "9 km",
"B": "72.5 km",
"C": "190.75 km",
"D": "885.5 km",
"E": "none of these"
} | divide(multiply(80.5, 6.6), 0.6) | multiply(n1,n2)|divide(#0,n0) | solution let the actual distance be x km . then , more distance on the map , more is the actual distance ( direct proportion ) ∴ 0.6 : 80.5 : : 6.6 : x ⇔ 0.6 x = 80.5 × 6.6 ⇔ x = ⇔ x = 80.5 x 6.6 / 0.6 = x = 885.5 . answer d | physics |
math_qa__8j0Gwv6IOGHhHHmo | There are 9 cities numbered 1 to 9.From how many cities the flight can start so as to reach the city 8 either directly or indirectly such that the path formed is divisible by 3. Choose the correct option:
A) 7 B) 8 C) 9 D) 10 E) 11 | <gadget id="calculator">9 - 1</gadget>
<output>8</output>
<result>B</result> | B | 8 | There are 9 cities numbered 1 to 9.From how many cities the flight can start so as to reach the city 8 either directly or indirectly such that the path formed is divisible by 3. | {
"A": "7",
"B": "8",
"C": "9",
"D": "10",
"E": "11"
} | subtract(9, const_1) | subtract(n0,const_1) | start from 1 : 1368 , start from 2 : 2358 , start from 3 : 378 , start from 4 : 48 , start from 5 : 528 , start from 6 : 678 , start from 7 : 78 , why start from 8 ? ? ? , start from 9 : 918 . so flights can start from all 8 other cities . answer : b | general |
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