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stringlengths 7
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math_qa__sJdKNpfKFQ1QGlU5 | Ifaequals the sum of the even integers from 2 to 40, inclusive, andbequals the sum of the odd integers from 1 to 39, inclusive, what is the value of a - b ? Select the correct option.
A) 1 B) 10 C) 19 D) 20 E) 21 | <gadget id="calculator">40 / 2</gadget>
<output>20</output>
<gadget id="calculator">20 + 1</gadget>
<output>21</output>
<gadget id="calculator">20 * 21</gadget>
<output>420</output>
<gadget id="calculator">39 + 1</gadget>
<output>40</output>
<gadget id="calculator">39 - 1</gadget>
<output>38</output>
<gadget id="calculator">38 / 2</gadget>
<output>19</output>
<gadget id="calculator">19 + 1</gadget>
<output>20</output>
<gadget id="calculator">20 * 20</gadget>
<output>400</output>
<gadget id="calculator">420 - 400</gadget>
<output>20</output>
<result>D</result> | D | 20 | Ifaequals the sum of the even integers from 2 to 40, inclusive, andbequals the sum of the odd integers from 1 to 39, inclusive, what is the value of a - b ? | {
"A": "1",
"B": "10",
"C": "19",
"D": "20",
"E": "21"
} | subtract(multiply(divide(40, const_2), add(divide(40, const_2), 1)), multiply(divide(add(39, 1), const_2), add(divide(subtract(39, 1), 2), 1))) | add(n2,n3)|divide(n1,const_2)|subtract(n3,n2)|add(n2,#1)|divide(#2,n0)|divide(#0,const_2)|add(n2,#4)|multiply(#3,#1)|multiply(#6,#5)|subtract(#7,#8) | this is a solution from beatthegmat : even numbers : ( 40 - 2 ) / 2 + 1 = 20 even integers . ( 40 + 2 ) / 2 = 21 is the average of the even set . sum = avg * ( # of elements ) = 21 * 20 = 420 = a odd numbers : ( 39 - 1 ) / 2 + 1 = 20 odd integers . ( 39 + 1 ) / 2 = 20 is the average of the odd set . sum = avg * ( # of elements ) = 20 * 20 = 400 = b a - b = 420 - 400 = 20 . answer : d | general |
math_qa__mXpRKTdOgzuMDM1r | A train running at the speed of 90 km/hr crosses a pole in 12 seconds. Find the length of the train? Choose the correct choice from the following options.
A) 150 B) 872 C) 287 D) 288 E) 300 | <gadget id="calculator">90 * 1_000</gadget>
<output>90_000</output>
<gadget id="calculator">90_000 / 3_600</gadget>
<output>25</output>
<gadget id="calculator">25 * 12</gadget>
<output>300</output>
<result>E</result> | E | 300 | A train running at the speed of 90 km/hr crosses a pole in 12 seconds. Find the length of the train? | {
"A": "150",
"B": "872",
"C": "287",
"D": "288",
"E": "300"
} | multiply(divide(multiply(90, const_1000), const_3600), 12) | multiply(n0,const_1000)|divide(#0,const_3600)|multiply(n1,#1)| | "speed = 90 * ( 5 / 18 ) m / sec = 75 / 3 m / sec length of train ( distance ) = speed * time ( 75 / 3 ) * 12 = 300 meter answer : e" | physics |
math_qa__sLnnvLOKkvi4Adl7 | Two cars, Car1 and Car2 move towards each other from E and Y respectively with respective speeds of 20 m/s and 15 m/s. After meeting each other Car1 reaches Y in 10 seconds. In how many seconds does Car 2 reach E starting from Y? Answers.
A) 15.5 sec B) 8.4 sec C) 33.6 sec D) 31.11 sec E) 16.8 sec | <gadget id="calculator">20 + 15</gadget>
<output>35</output>
<gadget id="calculator">20 * 10</gadget>
<output>200</output>
<gadget id="calculator">200 / 15</gadget>
<output>40/3 = around 13.333333</output>
<gadget id="calculator">35 * (40/3)</gadget>
<output>1_400/3 = around 466.666667</output>
<gadget id="calculator">(1_400/3) / 15</gadget>
<output>280/9 = around 31.111111</output>
<result>D</result> | D | 31.11 | Two cars, Car1 and Car2 move towards each other from E and Y respectively with respective speeds of 20 m/s and 15 m/s. After meeting each other Car1 reaches Y in 10 seconds. In how many seconds does Car 2 reach E starting from Y? | {
"A": "15.5 sec",
"B": "8.4 sec",
"C": "33.6 sec",
"D": "31.11 sec",
"E": "16.8 sec"
} | divide(multiply(add(20, 15), divide(multiply(20, 10), 15)), 15) | add(n2,n3)|multiply(n2,n5)|divide(#1,n3)|multiply(#0,#2)|divide(#3,n3) | e - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | - - - - - - - - - - - - - - - - - - - - - - - - - - - - y car a ( 20 mps ) - - - - - - - - - - - - - - - - - - - - - - - - - > p < - - - - - - - - - - - - - - - car b ( 15 mps ) let 2 cars meet each other at point p in t seconds . car 1 covers distance = 20 t . car 2 covers distance = 15 t . so , total distance ey = 35 t . from p , car 1 reaches onto y in 10 secs . so it covers 15 t further . so , 15 t / 20 = 10 so t = 40 / 3 sec and total distance = ( 35 * 40 ) / 3 hence car 2 will cover total distance in ( 35 * 40 ) / ( 3 * 15 ) = 31.11 sec approx . answer d | physics |
math_qa__ZhBDkMUw7nRug3fo | On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number T of races we need to conduct to get the top 3 fastest horses? Choose the most appropriate option.
A) 5 B) 7 C) 8 D) 10 E) 11 | <gadget id="calculator">25 / 5</gadget>
<output>5</output>
<gadget id="calculator">5 + 2</gadget>
<output>7</output>
<result>B</result> | B | 7 | On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number T of races we need to conduct to get the top 3 fastest horses? | {
"A": "5",
"B": "7",
"C": "8",
"D": "10",
"E": "11"
} | add(divide(25, 5), const_2) | divide(n1,n0)|add(#0,const_2)| | "t = 7 is the correct answer . good solution buneul . b" | general |
math_qa__fDarz8mhOd8E9R9l | From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 30 percent. What percent of the stock’s 2007 starting price was the price of the stock at the end of 2009? Choices: A) 80 B) 117 C) 95 D) 100 E) 108 | <gadget id="calculator">100 + 20</gadget>
<output>120</output>
<gadget id="calculator">120 / 100</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">100 * (6/5)</gadget>
<output>120</output>
<gadget id="calculator">100 - 25</gadget>
<output>75</output>
<gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">120 * (3/4)</gadget>
<output>90</output>
<gadget id="calculator">100 + 30</gadget>
<output>130</output>
<gadget id="calculator">130 / 100</gadget>
<output>13/10 = around 1.3</output>
<gadget id="calculator">90 * (13/10)</gadget>
<output>117</output>
<result>B</result> | B | 117 | From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 30 percent. What percent of the stock’s 2007 starting price was the price of the stock at the end of 2009? | {
"A": "80",
"B": "117",
"C": "95",
"D": "100",
"E": "108"
} | multiply(multiply(multiply(const_100, divide(add(const_100, 20), const_100)), divide(subtract(const_100, 25), const_100)), divide(add(const_100, 30), const_100)) | add(n5,const_100)|add(n1,const_100)|subtract(const_100,n3)|divide(#0,const_100)|divide(#2,const_100)|divide(#1,const_100)|multiply(#5,const_100)|multiply(#4,#6)|multiply(#3,#7)| | "assume a value at the beginning of 2007 . as this is a % question , assume p = 100 . at the end of 2007 it becmae = 1.2 * 100 = 120 at the end of 2008 it decreased by 25 % = 120 * . 75 = 90 at the end of 2009 it increased by 30 % = 90 * 1.3 = 117 thus ratio = 117 / 100 = 1.17 ( in % terms = 117 % ) . thus b is the correct answer ." | gain |
math_qa__ymn1LImSAASaqSVX | Set S consists of integers {6, 7, 10, 12, 15}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 40%. What is the value of integer n? Choose the correct choice from the following answers: A) 26 B) 30 C) 34 D) 38 E) 42 | <gadget id="calculator">10 + 12</gadget>
<output>22</output>
<gadget id="calculator">22 + 12</gadget>
<output>34</output>
<result>C</result> | C | 34 | Set S consists of integers {6, 7, 10, 12, 15}. If integer n is included in the set, the average (arithmetic mean) of set S will increase by 40%. What is the value of integer n? | {
"A": "26",
"B": "30",
"C": "34",
"D": "38",
"E": "42"
} | add(add(10, 12), 12) | add(n2,n3)|add(n3,#0)| | "the average of the numbers in set s is 10 . if we increase the mean by 40 % , the new mean is 14 . thus , on average , 5 numbers increase by 4 . therefore n = 14 + 20 = 34 the answer is c ." | general |
math_qa__9QcrHfLIc4aulXAt | A girl was asked to multiply a certain number by 43. She multiplied it by 34 and got his answer less than the correct one by 1224. Find the number to be multiplied. Choose the correct choice
A) 130 B) 132 C) 134 D) 136 E) 138 | <gadget id="calculator">43 - 34</gadget>
<output>9</output>
<gadget id="calculator">1_224 / 9</gadget>
<output>136</output>
<result>D</result> | D | 136 | A girl was asked to multiply a certain number by 43. She multiplied it by 34 and got his answer less than the correct one by 1224. Find the number to be multiplied. | {
"A": "130",
"B": "132",
"C": "134",
"D": "136",
"E": "138"
} | divide(1224, subtract(43, 34)) | subtract(n0,n1)|divide(n2,#0)| | "let the required number be x . then , 43 x – 34 x = 1224 or 9 x = 1224 or x = 136 . required number = 136 . answer : d" | general |
math_qa__WgT972l9hdk9NAlY | What will be the difference between simple and compound interest @20% per annum on a sum of $500 after 2 years? Choose the correct choice from the following answers.
A) $ 10
B) $ 20
C) $ 25
D) $ 30
E) $ 40 | <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) ** 2</gadget>
<output>36/25 = around 1.44</output>
<gadget id="calculator">500 * (36/25)</gadget>
<output>720</output>
<gadget id="calculator">720 - 500</gadget>
<output>220</output>
<gadget id="calculator">500 * (1/5)</gadget>
<output>100</output>
<gadget id="calculator">100 * 2</gadget>
<output>200</output>
<gadget id="calculator">220 - 200</gadget>
<output>20</output>
<result>B</result> | B | 20 | What will be the difference between simple and compound interest @20% per annum on a sum of $500 after 2 years? | {
"A": "$ 10",
"B": "$ 20",
"C": "$ 25",
"D": "$ 30",
"E": "$ 40"
} | subtract(subtract(multiply(500, power(add(divide(20, const_100), const_1), 2)), 500), multiply(multiply(500, divide(20, const_100)), 2)) | divide(n0,const_100)|add(#0,const_1)|multiply(n1,#0)|multiply(n2,#2)|power(#1,n2)|multiply(n1,#4)|subtract(#5,n1)|subtract(#6,#3)| | "s . i . = 500 * 20 * 2 / 100 = $ 200 c . i . = 500 * ( 1 + 20 / 100 ) ^ 2 - 500 = $ 220 difference = 220 - 200 = $ 20 answer is b" | gain |
math_qa__M3vbZAypwklDYvDI | Martins made a part payment of $650 toward buying a brand new washing machine, which represents 15% of the total cost of the washing machine, how much remains to be paid? Choose the correct choice from the following answers
A) $ 1116.3 B) $ 3583.3 C) $ 3283.3 D) $ 3683.3 E) $ 2683.3 | <gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">650 / (3/20)</gadget>
<output>13_000/3 = around 4_333.333333</output>
<gadget id="calculator">(13_000/3) - 650</gadget>
<output>11_050/3 = around 3_683.333333</output>
<result>D</result> | D | 3,683.3 | Martins made a part payment of $650 toward buying a brand new washing machine, which represents 15% of the total cost of the washing machine, how much remains to be paid? | {
"A": "$ 1116.3",
"B": "$ 3583.3",
"C": "$ 3283.3",
"D": "$ 3683.3",
"E": "$ 2683.3"
} | subtract(divide(650, divide(15, const_100)), 650) | divide(n1,const_100)|divide(n0,#0)|subtract(#1,n0) | explanation : let ' s start with what the total price of the washing machine would be . if 15 % is equal to $ 650 then 100 % equals $ x . we just have to multiply $ 650 by 6.67 to get total amount = $ 4333.3 . out of this amount we then need to deduct the amount already paid which was $ 650 so we have $ 4333.3 - $ 650 = $ 3683.3 answer : option d | general |
math_qa__227PpX7eOcQ5cHSf | A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 300 feet. What is its area, in square feet? Pick one:
A) 43,200 B) 19,600 C) 20,000 D) 20,400 E) 20,800 | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">300 / 5</gadget>
<output>60</output>
<gadget id="calculator">60 * 3</gadget>
<output>180</output>
<gadget id="calculator">60 * 4</gadget>
<output>240</output>
<gadget id="calculator">180 * 240</gadget>
<output>43_200</output>
<result>A</result> | A | 43,200 | A small, rectangular park has a perimeter of 560 feet and a diagonal measurement of 300 feet. What is its area, in square feet? | {
"A": "43,200",
"B": "19,600",
"C": "20,000",
"D": "20,400",
"E": "20,800"
} | multiply(multiply(divide(300, add(const_2, const_3)), const_3), multiply(divide(300, add(const_2, const_3)), const_4)) | add(const_2,const_3)|divide(n1,#0)|multiply(#1,const_3)|multiply(#1,const_4)|multiply(#2,#3)| | "you can avoid a lot of work in this problem by recognizing that , with the info provided , the diagonal forms a triangle inside the rectangle with sides that have a 3 : 4 : 5 ratio . diagonal = 200 2 x + 2 y = 560 , or x + y = 280 a ^ 2 + b ^ 2 = c ^ 2 for each the sides of the triangle using the ratio 3 : 4 : 5 for sides , and knowing c = 300 , you can deduce the following a = 180 b = 240 180 x 240 = 43,200 a is the answer ." | geometry |
math_qa__vXaAQTQNrPgbHLn9 | In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 6, and the ratio of flour to baking soda is 10 to 1. If there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. How many pounds of sugar are stored in the room?
Choose the correct choice from the following
A) 600 B) 1200 C) 1500 D) 1600 E) 2000 | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">8 * 60</gadget>
<output>480</output>
<gadget id="calculator">10 - 8</gadget>
<output>2</output>
<gadget id="calculator">480 / 2</gadget>
<output>240</output>
<gadget id="calculator">10 * 240</gadget>
<output>2_400</output>
<gadget id="calculator">(5/6) * 2_400</gadget>
<output>2_000</output>
<result>E</result> | E | 2,000 | In the storage room of a certain bakery, the ratio of sugar to flour is 5 to 6, and the ratio of flour to baking soda is 10 to 1. If there were 60 more pounds of baking soda in the room, the ratio of flour to baking soda would be 8 to 1. How many pounds of sugar are stored in the room? | {
"A": "600",
"B": "1200",
"C": "1500",
"D": "1600",
"E": "2000"
} | multiply(divide(5, 6), multiply(10, divide(multiply(8, 60), subtract(10, 8)))) | divide(n0,n1)|multiply(n4,n5)|subtract(n2,n5)|divide(#1,#2)|multiply(n2,#3)|multiply(#0,#4)| | "sugar : flour = 5 : 6 = 25 : 30 ; flour : soda = 10 : 1 = 30 : 3 ; thus we have that sugar : flour : soda = 25 x : 30 x : 3 x . also given that 30 x / ( 3 x + 60 ) = 8 / 1 - - > x = 80 - - > sugar = 25 x = 2,000 . answer : e ." | general |
math_qa__8OXYFch9aMILh3hm | In a restaurant, the profit is 110% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit? Choose the correct choice from the following answers:
A) 30 %
B) 47 %
C) 90 %
D) 100 %
E) none of these | <gadget id="calculator">110 / 100</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">100 * (11/10)</gadget>
<output>110</output>
<gadget id="calculator">110 + 100</gadget>
<output>210</output>
<gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">1 + (3/25)</gadget>
<output>28/25 = around 1.12</output>
<gadget id="calculator">100 * (28/25)</gadget>
<output>112</output>
<gadget id="calculator">210 - 112</gadget>
<output>98</output>
<gadget id="calculator">98 / 210</gadget>
<output>7/15 = around 0.466667</output>
<gadget id="calculator">100 * (7/15)</gadget>
<output>140/3 = around 46.666667</output>
<result>B</result> | B | 47 | In a restaurant, the profit is 110% of the cost. If the cost increases by 12% but the selling price remains constant, approximately what percentage of the selling price is the profit? | {
"A": "30 %",
"B": "47 %",
"C": "90 %",
"D": "100 %",
"E": "none of these"
} | multiply(const_100, divide(subtract(add(multiply(const_100, divide(110, const_100)), const_100), multiply(const_100, add(const_1, divide(12, const_100)))), add(multiply(const_100, divide(110, const_100)), const_100))) | divide(n0,const_100)|divide(n1,const_100)|add(#1,const_1)|multiply(#0,const_100)|add(#3,const_100)|multiply(#2,const_100)|subtract(#4,#5)|divide(#6,#4)|multiply(#7,const_100) | explanation : let c . p . = rs . 100 . then , profit = rs . 110 , s . p . = rs . 210 . new c . p . = 112 % of rs . 100 = rs . 112 new s . p . = rs . 210 . profit = rs . ( 210 - 112 ) = rs . 98 . required percentage = ( 98 / 210 * 100 ) % = 47 % appox answer : b | gain |
math_qa__u1fyw0HpAi35aKR6 | At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 3/4 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load? Choose the correct choice.
A) 3 / 5 B) 4 / 5 C) 11 / 15 D) 16 / 25 E) 19 / 25 | <gadget id="calculator">4 * 4</gadget>
<output>16</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">16 + 9</gadget>
<output>25</output>
<gadget id="calculator">16 / 25</gadget>
<output>16/25 = around 0.64</output>
<result>D</result> | D | 0.64 | At a loading dock, each worker on the night crew loaded 3/4 as many boxes as each worker on the day crew. If the night crew has 3/4 as many workers as the day crew, what fraction of all the boxes loaded by the two crews did the day crew load? | {
"A": "3 / 5",
"B": "4 / 5",
"C": "11 / 15",
"D": "16 / 25",
"E": "19 / 25"
} | divide(multiply(4, 4), add(multiply(4, 4), multiply(3, 3))) | multiply(n1,n3)|multiply(n0,n2)|add(#0,#1)|divide(#0,#2)| | "let x be the number of workers on the day crew . let y be the number of boxes loaded by each member of the day crew . then the number of boxes loaded by the day crew is xy . the number of boxes loaded by the night crew is ( 3 x / 4 ) ( 3 y / 4 ) = 9 xy / 16 the total number of boxes is xy + 9 xy / 16 = 25 xy / 16 the fraction loaded by the day crew is xy / ( 25 xy / 16 ) = 16 / 25 the answer is d ." | physics |
math_qa__c9L7804Ko2P2oKQO | Walking 6/5 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school? Select the correct option:
A) 22 B) 99 C) 27 D) 24 E) 20 | <gadget id="calculator">4 * 6</gadget>
<output>24</output>
<result>D</result> | D | 24 | Walking 6/5 of his usual rate, a boy reaches his school 4 min early. Find his usual time to reach the school? | {
"A": "22",
"B": "99",
"C": "27",
"D": "24",
"E": "20"
} | multiply(4, 6) | multiply(n0,n2)| | "speed ratio = 1 : 6 / 5 = 5 : 6 time ratio = 6 : 5 1 - - - - - - - - 6 4 - - - - - - - - - ? 24 m . answer : d" | gain |
math_qa__zDRamN3hB6ux6qmY | How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 66 km/hr?
Pick
A) 11 B) 30 C) 29 D) 88 E) 61 | <gadget id="calculator">66 - 3</gadget>
<output>63</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">63 * (5/18)</gadget>
<output>35/2 = around 17.5</output>
<gadget id="calculator">500 / (35/2)</gadget>
<output>200/7 = around 28.571429</output>
<result>C</result> | C | 29 | How many seconds will a 500 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 66 km/hr? | {
"A": "11",
"B": "30",
"C": "29",
"D": "88",
"E": "61"
} | divide(500, multiply(subtract(66, 3), const_0_2778)) | subtract(n2,n1)|multiply(#0,const_0_2778)|divide(n0,#1)| | "speed of train relative to man = 66 - 3 = 63 km / hr . = 63 * 5 / 18 = 35 / 2 m / sec . time taken to pass the man = 500 * 2 / 35 = 28.57 sec . approx . 29 sec answer : c" | physics |
math_qa__jraInC4UBV7GeQdH | What number times (1⁄4)^2 will give the value of 4^3?
Choose the correct choice from the following answers:
A) 4
B) 16
C) 64
D) 256
E) 1024 | <gadget id="calculator">2 ** 4</gadget>
<output>16</output>
<gadget id="calculator">4 ** 3</gadget>
<output>64</output>
<gadget id="calculator">16 * 64</gadget>
<output>1_024</output>
<result>E</result> | E | 1,024 | What number times (1⁄4)^2 will give the value of 4^3? | {
"A": "4",
"B": "16",
"C": "64",
"D": "256",
"E": "1024"
} | multiply(power(const_2.0, 4), power(4, 3)) | power(n2,n1)|power(n1,n4)|multiply(#0,#1)| | "x * ( 1 / 4 ) ^ 2 = 4 ^ 3 x = 4 ^ 2 * 4 ^ 3 = 4 ^ 5 = 1024 the answer is e ." | general |
math_qa__eHSmlXZFq48QMfJy | One night 19 percent of the female officers on a police force were on duty. If 152 police officers were on duty that night and half of these were female officers, how many female officers were on the police force? Choices
A) 300
B) 350
C) 400
D) 450
E) 500 | <gadget id="calculator">152 / 2</gadget>
<output>76</output>
<gadget id="calculator">19 / 100</gadget>
<output>19/100 = around 0.19</output>
<gadget id="calculator">76 / (19/100)</gadget>
<output>400</output>
<result>C</result> | C | 400 | One night 19 percent of the female officers on a police force were on duty. If 152 police officers were on duty that night and half of these were female officers, how many female officers were on the police force? | {
"A": "300",
"B": "350",
"C": "400",
"D": "450",
"E": "500"
} | divide(divide(152, const_2), divide(19, const_100)) | divide(n1,const_2)|divide(n0,const_100)|divide(#0,#1)| | "let x be the number of female police officers on the police force . the number of female police officers on duty was 76 . 0.19 x = 76 x = 400 the answer is c ." | gain |
math_qa__rSKB9h79ZtK4uqZ6 | A car ferry can hold up to 70 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 6 tons? Pick one
A) 20
B) 24
C) 28
D) 32
E) 36 | <gadget id="calculator">0.75 + 6</gadget>
<output>6.75</output>
<gadget id="calculator">70 / 6.75</gadget>
<output>10.37037</output>
<gadget id="calculator">10.37037 + 10.37037</gadget>
<output>20.74074</output>
<result>A</result> | A | 20 | A car ferry can hold up to 70 tons of cargo. What is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average (arithmetic mean) weight of 0.75 tons and half of the vehicles are trucks with an average (arithmetic mean) weight of 6 tons? | {
"A": "20",
"B": "24",
"C": "28",
"D": "32",
"E": "36"
} | add(divide(70, add(0.75, 6)), divide(70, add(0.75, 6))) | add(n1,n2)|divide(n0,#0)|add(#1,#1)| | "the weight of one car and one truck is 6.75 tons . 70 / 6.75 = 10 plus a remainder the ferry could carry 10 cars and 10 trucks for a total of 20 vehicles . the answer is a ." | general |
math_qa__BB5XJvEFKpPL0J6D | A train passes a platform in 35 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is Choose the correct choice from the following choices
A) 280 meter B) 240 meter C) 225 meter D) 200 meter E) none of these | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">(5/18) * 54</gadget>
<output>15</output>
<gadget id="calculator">35 - 20</gadget>
<output>15</output>
<gadget id="calculator">15 * 15</gadget>
<output>225</output>
<result>C</result> | C | 225 | A train passes a platform in 35 seconds. The same train passes a man standing on the platform in 20 seconds. If the speed of the train is 54 km/hr, The length of the platform is | {
"A": "280 meter",
"B": "240 meter",
"C": "225 meter",
"D": "200 meter",
"E": "none of these"
} | multiply(multiply(const_0_2778, 54), subtract(35, 20)) | multiply(n2,const_0_2778)|subtract(n0,n1)|multiply(#0,#1)| | "explanation : speed of the train = 54 km / hr = ( 54 × 10 ) / 35 m / s = 15 m / s length of the train = speed × time taken to cross the man = 15 × 20 = 300 m let the length of the platform = l time taken to cross the platform = ( 300 + l ) / 15 = > ( 300 + l ) / 15 = 35 = > 300 + l = 15 × 35 = 525 = > l = 525 - 300 = 225 meter answer : option c" | physics |
math_qa__gKdMjiwH9T6aXNnt | A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 50 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated? Choose the correct choice: A) 26 % B) 30 % C) 32 % D) 34 % E) 40 % | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 400</gadget>
<output>80</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">100 * (1/2)</gadget>
<output>50</output>
<gadget id="calculator">80 + 50</gadget>
<output>130</output>
<gadget id="calculator">400 + 100</gadget>
<output>500</output>
<gadget id="calculator">130 / 500</gadget>
<output>13/50 = around 0.26</output>
<gadget id="calculator">(13/50) * 100</gadget>
<output>26</output>
<result>A</result> | A | 26 | A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 50 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated? | {
"A": "26 %",
"B": "30 %",
"C": "32 %",
"D": "34 %",
"E": "40 %"
} | multiply(divide(add(multiply(divide(20, 100), 400), multiply(100, divide(50, 100))), add(400, 100)), 100) | add(n0,n2)|divide(n1,n2)|divide(n3,n2)|multiply(n0,#1)|multiply(n2,#2)|add(#3,#4)|divide(#5,#0)|multiply(#6,n2)| | "1 . 20 % of 400 = 80 pounds of decaffeinated coffee 2 . 50 % of 100 = 50 pounds of decaffeinated coffee 3 . wt have 130 pounds of decaffeinated out of 500 pounds , that means 130 / 500 * 100 % = 26 % . the correct answer is a ." | gain |
math_qa__OymEraLxdPTrugKt | Praveen starts business with Rs.3220 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital? Choose the correct choice from the following answers:
A) s . 7500 B) s . 8000 C) s . 8280 D) s . 9000 E) s . 6000 | <gadget id="calculator">5 / 12</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">1 - (5/12)</gadget>
<output>7/12 = around 0.583333</output>
<gadget id="calculator">3_220 / (7/12)</gadget>
<output>5_520</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">5_520 / (2/3)</gadget>
<output>8_280</output>
<result>C</result> | C | 8,280 | Praveen starts business with Rs.3220 and after 5 months, Hari joins with Praveen as his partner. After a year, the profit is divided in the ratio 2 : 3. What is Hari’s contribution in the capital? | {
"A": "s . 7500",
"B": "s . 8000",
"C": "s . 8280",
"D": "s . 9000",
"E": "s . 6000"
} | divide(divide(3220, subtract(const_1, divide(5, const_12))), divide(2, 3)) | divide(n1,const_12)|divide(n2,n3)|subtract(const_1,#0)|divide(n0,#2)|divide(#3,#1)| | "let hari ’ s capital be rs . x . then , 3220 * 12 / 7 x = 2 / 3 = > 14 x = 115920 = > x = 8280 . answer : c" | other |
math_qa__pSeMbqej6np5MvG7 | 8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 4 such machines to perform the same job? Choose the correct option
A) 2.25 hours B) 8.75 hours C) 12 hours D) 14.25 hours E) 16 hours | <gadget id="calculator">6 * 8</gadget>
<output>48</output>
<gadget id="calculator">48 / 4</gadget>
<output>12</output>
<result>C</result> | C | 12 | 8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 4 such machines to perform the same job? | {
"A": "2.25 hours",
"B": "8.75 hours",
"C": "12 hours",
"D": "14.25 hours",
"E": "16 hours"
} | divide(multiply(6, 8), 4) | multiply(n0,n1)|divide(#0,n2) | let each machine do 1 unit of work for 1 hour 8 machines - - > 8 units of work in 1 hour for 6 hours = 8 * 6 = 48 units of total work is done . now this 48 units of total work must be done by 4 machines 4 units of work ( 4 machines ) - - - > 1 hour for 48 units of work 4 * 12 - - - > 1 * 12 hours c 12 hours | physics |
math_qa__ypio3Gz4o1isuNAS | A candidate got 35% of the votes and lost to the rival by 2100 votes. How many votes were cast?
Choose the correct choice:
A) 7000 B) 7200 C) 7400 D) 7600 E) 7800 | <gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">1 - (7/20)</gadget>
<output>13/20 = around 0.65</output>
<gadget id="calculator">(13/20) - (7/20)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">2_100 / (3/10)</gadget>
<output>7_000</output>
<result>A</result> | A | 7,000 | A candidate got 35% of the votes and lost to the rival by 2100 votes. How many votes were cast? | {
"A": "7000",
"B": "7200",
"C": "7400",
"D": "7600",
"E": "7800"
} | divide(2100, subtract(subtract(const_1, divide(35, const_100)), divide(35, const_100))) | divide(n0,const_100)|subtract(const_1,#0)|subtract(#1,#0)|divide(n1,#2)| | "35 % - - - - - - - - - - - l 65 % - - - - - - - - - - - w - - - - - - - - - - - - - - - - - - 30 % = 2100 10 % = 700 100 % of the votes = 7000 answer : a" | gain |
math_qa__0jDmfSCuRUSESLGc | What is the square root of 81, divided by 3?
Answers
A) 9 B) 36 C) 122 D) 3 E) 1 | <gadget id="calculator">81 ** (1/2)</gadget>
<output>9</output>
<gadget id="calculator">9 / 3</gadget>
<output>3</output>
<result>D</result> | D | 3 | What is the square root of 81, divided by 3? | {
"A": "9",
"B": "36",
"C": "122",
"D": "3",
"E": "1"
} | divide(sqrt(81), 3) | sqrt(n0)|divide(#0,n1)| | "square root is a number times itself square root of 81 = 6 , 9 / 3 = 3 ( d ) 3" | other |
math_qa__Gx5F2Y4ybNJlG0lm | The mean of 30 values was 250. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean. Pick one:
A) 151 B) 149 C) 152 D) 251 E) none of the above | <gadget id="calculator">30 * 250</gadget>
<output>7_500</output>
<gadget id="calculator">165 - 135</gadget>
<output>30</output>
<gadget id="calculator">7_500 + 30</gadget>
<output>7_530</output>
<gadget id="calculator">7_530 / 30</gadget>
<output>251</output>
<result>D</result> | D | 251 | The mean of 30 values was 250. It was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean. Find the correct mean. | {
"A": "151",
"B": "149",
"C": "152",
"D": "251",
"E": "none of the above"
} | divide(add(multiply(30, 250), subtract(165, 135)), 30) | multiply(n0,n1)|subtract(n2,n3)|add(#0,#1)|divide(#2,n0)| | "corrected mean = 250 × 30 − 135 + 165 / 30 = 7500 − 135 + 165 / 30 = 7530 / 30 = 251 answer d" | general |
math_qa__ux8aIqLDkvHooIKZ | A cyclist rides a bicycle 9 km at an average speed of 11 km/hr and again travels 11 km at an average speed of 9 km/hr. What is the average speed for the entire trip? Choices: A) 9.3 B) 9.6 C) 9.8 D) 10.1 E) 10.3 | <gadget id="calculator">9 + 11</gadget>
<output>20</output>
<gadget id="calculator">9 / 11</gadget>
<output>9/11 = around 0.818182</output>
<gadget id="calculator">11 / 9</gadget>
<output>11/9 = around 1.222222</output>
<gadget id="calculator">(9/11) + (11/9)</gadget>
<output>202/99 = around 2.040404</output>
<gadget id="calculator">20 / (202/99)</gadget>
<output>990/101 = around 9.80198</output>
<result>C</result> | C | 9.8 | A cyclist rides a bicycle 9 km at an average speed of 11 km/hr and again travels 11 km at an average speed of 9 km/hr. What is the average speed for the entire trip? | {
"A": "9.3",
"B": "9.6",
"C": "9.8",
"D": "10.1",
"E": "10.3"
} | divide(add(9, 11), add(divide(9, 11), divide(11, 9))) | add(n0,n1)|divide(n0,n1)|divide(n1,n0)|add(#1,#2)|divide(#0,#3)| | "distance = 20 km time = 9 / 11 + 11 / 9 = ( 81 + 121 ) / 99 = 202 / 99 hours average speed = ( 20 * 99 ) / 202 = 9.8 km / h the answer is c ." | general |
math_qa__GWPm80cMgCDfBYO3 | A man can row upstream at 26 kmph and downstream at 30 kmph, and then find the speed of the man in still water?
Choose the correct choice from the following
A) 29 B) 28 C) 30 D) 32 E) 23 | <gadget id="calculator">26 + 30</gadget>
<output>56</output>
<gadget id="calculator">56 / 2</gadget>
<output>28</output>
<result>B</result> | B | 28 | A man can row upstream at 26 kmph and downstream at 30 kmph, and then find the speed of the man in still water? | {
"A": "29",
"B": "28",
"C": "30",
"D": "32",
"E": "23"
} | divide(add(26, 30), const_2) | add(n0,n1)|divide(#0,const_2)| | "us = 26 ds = 30 m = ( 30 + 26 ) / 2 = 28 answer : b" | physics |
math_qa__oamoTFE8SFkwIIDf | In a group of 60 people, 35 have visited Iceland and 23 have visited Norway. If 31 people have visited both Iceland and Norway, how many people have visited neither country? Select the correct option
A) 30 B) 31 C) 32 D) 33 E) 34 | <gadget id="calculator">35 + 23</gadget>
<output>58</output>
<gadget id="calculator">58 - 31</gadget>
<output>27</output>
<gadget id="calculator">60 - 27</gadget>
<output>33</output>
<result>D</result> | D | 33 | In a group of 60 people, 35 have visited Iceland and 23 have visited Norway. If 31 people have visited both Iceland and Norway, how many people have visited neither country? | {
"A": "30",
"B": "31",
"C": "32",
"D": "33",
"E": "34"
} | subtract(60, subtract(add(35, 23), 31)) | add(n1,n2)|subtract(#0,n3)|subtract(n0,#1) | this is an example of a standard overlapping sets question . it has no ' twists ' to it , so you ' ll likely find using the overlapping sets formula to be a fairly easy approach . if you ' re not familiar with it , then here is the formula : 60 = 35 + 23 - 31 + ( # in neither group ) = 33 the prompt gives you all of the numbers you need to get to the correct answer . just plug in and solve . d | other |
math_qa__DrZGldgTgrluLcxw | A reduction of 5% in the price of oil enables a house wife to obtain 10kgs more for Rs.5000, what is the reduced price for kg? Choose one: A) 23 B) 27 C) 25 D) 35 E) 15 | <gadget id="calculator">5_000 * 5</gadget>
<output>25_000</output>
<gadget id="calculator">25_000 / 100</gadget>
<output>250</output>
<gadget id="calculator">250 / 10</gadget>
<output>25</output>
<result>C</result> | C | 25 | A reduction of 5% in the price of oil enables a house wife to obtain 10kgs more for Rs.5000, what is the reduced price for kg? | {
"A": "23",
"B": "27",
"C": "25",
"D": "35",
"E": "15"
} | divide(divide(multiply(5000, 5), const_100), 10) | multiply(n0,n2)|divide(#0,const_100)|divide(#1,n1)| | "5000 * ( 5 / 100 ) = 250 - - - - 10 ? - - - - 1 = > rs . 25 answer : c" | gain |
math_qa__iKvcEjm3IKF2V9uF | If a2 - b2 = 10 and a*b = 8, find a4 + b4. Choose the correct choice.
A) 200 B) 228 C) 182 D) 102 E) 128 | <gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">8 ** 2</gadget>
<output>64</output>
<gadget id="calculator">64 * 2</gadget>
<output>128</output>
<gadget id="calculator">100 + 128</gadget>
<output>228</output>
<result>B</result> | B | 228 | If a2 - b2 = 10 and a*b = 8, find a4 + b4. | {
"A": "200",
"B": "228",
"C": "182",
"D": "102",
"E": "128"
} | add(power(10, 2), multiply(power(8, 2), 2)) | power(n3,n0)|power(n2,n0)|multiply(#0,n0)|add(#2,#1)| | "a 2 - b 2 = 10 : given a 4 + b 4 - 2 a 2 b 2 = 102 : square both sides and expand . a * b = 8 : given a 2 b 2 = 82 : square both sides . a 4 + b 4 - 2 ( 64 ) = 100 : substitute a 4 + b 4 = 228 correct answer b" | general |
math_qa__Y2a7uIwIoI8JlBsg | Of 58 players on a cricket team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total? Choose one
A) 51 B) 55 C) 59 D) 71 E) 92 | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">58 - 37</gadget>
<output>21</output>
<gadget id="calculator">(2/3) * 21</gadget>
<output>14</output>
<gadget id="calculator">37 + 14</gadget>
<output>51</output>
<result>A</result> | A | 51 | Of 58 players on a cricket team, 37 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total? | {
"A": "51",
"B": "55",
"C": "59",
"D": "71",
"E": "92"
} | add(37, multiply(subtract(const_1, divide(const_1, const_3)), subtract(58, 37))) | divide(const_1,const_3)|subtract(n0,n1)|subtract(const_1,#0)|multiply(#2,#1)|add(n1,#3) | total = 58 thrower = 37 rest = 58 - 37 = 21 left handed = 21 / 3 = 7 right handed = 14 if all thrower are right handed then total right handed is 37 + 14 = 51 so a . 51 is the right answer | general |
math_qa__KBbyVWDN93U1UeEg | The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 6 years is
Choices
A) s . 9621 B) s . 6921 C) s . 10721 D) s . 6261 E) s . 6361 | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 + (1/20)</gadget>
<output>21/20 = around 1.05</output>
<gadget id="calculator">(21/20) ** 6</gadget>
<output>85_766_121/64_000_000 = around 1.340096</output>
<gadget id="calculator">8_000 * (85_766_121/64_000_000)</gadget>
<output>85_766_121/8_000 = around 10_720.765125</output>
<result>C</result> | C | 10,721 | The amount of principal Rs.8000 at compound interest at the ratio of 5% p.a. for 6 years is | {
"A": "s . 9621",
"B": "s . 6921",
"C": "s . 10721",
"D": "s . 6261",
"E": "s . 6361"
} | multiply(8000, power(add(const_1, divide(5, const_100)), 6)) | divide(n1,const_100)|add(#0,const_1)|power(#1,n2)|multiply(n0,#2)| | "c . i = p ( 1 + r / 100 ) ^ n = 8000 ( 1 + 5 / 100 ) ^ 6 = rs 10721 answer : c" | gain |
math_qa__ClU4Ol68O05671dS | What percent is 20% of 25%? Choose the correct choice from the following choices:
A) 20 % B) 30 % C) 50 % D) 60 % E) 80 % | <gadget id="calculator">20 / 25</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) * 100</gadget>
<output>80</output>
<result>E</result> | E | 80 | What percent is 20% of 25%? | {
"A": "20 %",
"B": "30 %",
"C": "50 %",
"D": "60 %",
"E": "80 %"
} | multiply(divide(20, 25), const_100) | divide(n0,n1)|multiply(#0,const_100) | required percentage = 20 % / 25 % * 100 = 20 / 25 * 100 = 80 % answer is e | gain |
math_qa__F8n40hFzayKMDUzd | Walking at 40% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance?
Answers:
A) 16 B) 36 C) 42 D) 48 E) 54 | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 / (2/5)</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">(5/2) - 1</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">24 / (3/2)</gadget>
<output>16</output>
<result>A</result> | A | 16 | Walking at 40% of his usual speed a man takes 24 minutes more to cover a distance. What is his usual time to cover this distance? | {
"A": "16",
"B": "36",
"C": "42",
"D": "48",
"E": "54"
} | divide(24, subtract(divide(const_1, divide(40, const_100)), const_1)) | divide(n0,const_100)|divide(const_1,#0)|subtract(#1,const_1)|divide(n1,#2) | speed is inversly proprtional to time walking at 40 % of speed meand 2 / 5 s takes 5 / 2 t . it takes 24 minutes extra to cover the distance . then 5 / 2 t = t + 24 5 t = 2 t + 48 3 t = 48 t = 16 . option a is correct | physics |
math_qa__0fHLnqhFV5A4qQ6w | The area of the largest circle that can be drawn inside a square of side 70 Cm in length is: Choose the correct choice from the following options.
A) 3600 B) 2646 C) 3850 D) 4215 E) 5205 | <gadget id="calculator">70 / 2</gadget>
<output>35</output>
<gadget id="calculator">pi * (35 ** 2)</gadget>
<output>1225*pi = around 3_848.451001</output>
<result>C</result> | C | 3,850 | The area of the largest circle that can be drawn inside a square of side 70 Cm in length is: | {
"A": "3600",
"B": "2646",
"C": "3850",
"D": "4215",
"E": "5205"
} | circle_area(divide(70, const_2)) | divide(n0,const_2)|circle_area(#0) | radius of required circle = 35 cm its area = 22 / 7 × 35 × 35 110 × 35 = 3850 cm ( power ) 2 answer is c . | geometry |
math_qa__6GZTQUiQtVjdiui5 | There are 660 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female? Choose the most appropriate option:
A) 75 B) 110 C) 125 D) 175 E) 225 | <gadget id="calculator">660 / 3</gadget>
<output>220</output>
<gadget id="calculator">220 * 4</gadget>
<output>880</output>
<gadget id="calculator">880 - 660</gadget>
<output>220</output>
<gadget id="calculator">220 / 2</gadget>
<output>110</output>
<result>B</result> | B | 110 | There are 660 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female? | {
"A": "75",
"B": "110",
"C": "125",
"D": "175",
"E": "225"
} | divide(subtract(multiply(divide(660, const_3), const_4), 660), const_2) | divide(n0,const_3)|multiply(#0,const_4)|subtract(#1,n0)|divide(#2,const_2)| | "female = x male = 660 - x x / 2 + 660 - x / 4 = 1 / 3 * ( 660 ) = 220 x = 220 x / 2 = 110 is supposed to be the answer m is missing something correct option b" | general |
math_qa__l62vQSeoyoZzcRvO | The speed of a train is 70 kmph. What is the distance covered by it in 10 minutes? Choose the correct choice from the following choices.
A) 10.66 kmph B) 11.66 kmph C) 21.66 kmph D) 12.66 kmph E) 11.96 kmph | <gadget id="calculator">10 / 60</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) * 70</gadget>
<output>35/3 = around 11.666667</output>
<result>B</result> | B | 11.66 | The speed of a train is 70 kmph. What is the distance covered by it in 10 minutes? | {
"A": "10.66 kmph",
"B": "11.66 kmph",
"C": "21.66 kmph",
"D": "12.66 kmph",
"E": "11.96 kmph"
} | multiply(divide(10, const_60), 70) | divide(n1,const_60)|multiply(n0,#0)| | "70 * 10 / 60 = 11.66 kmph answer : b" | physics |
math_qa__IYMcUk0mqvD1v1Mf | What is the ratio E of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled? Select:
A) 1 / 4
B) 3 / 8
C) 1 / 2
D) 3 / 5
E) 2 | <gadget id="calculator">1 * 1</gadget>
<output>1</output>
<gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">1 * 6</gadget>
<output>6</output>
<gadget id="calculator">1 * 2</gadget>
<output>2</output>
<gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">2 + 8</gadget>
<output>10</output>
<gadget id="calculator">6 / 10</gadget>
<output>3/5 = around 0.6</output>
<result>D</result> | D | 0.6 | What is the ratio E of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled? | {
"A": "1 / 4",
"B": "3 / 8",
"C": "1 / 2",
"D": "3 / 5",
"E": "2"
} | divide(multiply(multiply(const_1, const_1), multiply(const_2, const_3)), add(multiply(multiply(const_1, const_1), const_2), multiply(multiply(const_1, const_2), const_4))) | multiply(const_1,const_1)|multiply(const_2,const_3)|multiply(const_1,const_2)|multiply(#0,#1)|multiply(#0,const_2)|multiply(#2,const_4)|add(#4,#5)|divide(#3,#6) | one side surface area of a cube = x * x = x ^ 2 total 6 sides = 6 x ^ 2 as for the rectangular , height ( h ) and width ( w ) are same as cube , x . only length = 2 x . l x h = 2 x * x = 2 x ^ 2 - - - - > 4 sides = 2 x ^ 2 * 4 = 8 x ^ 2 w * h = x * x = x ^ 2 - - - - - - > 2 sides = x ^ 2 * 2 = 2 x ^ 2 total 6 sides = 8 x ^ 2 + 2 x ^ 2 = 10 x ^ 2 ratio of cube area to rectangular area e = 6 x ^ 2 / 10 x ^ 2 - - - - > 6 / 10 - - - - > 3 / 5 ( d ) | geometry |
math_qa__ZNqLIKyxydsN9OD4 | If the operation @ is defined for all a and b by the equation a@b =(a^b)/2,then (3@2)=? Choose the correct choice
A) 4 B) 2 C) 9 / 2 D) - 9 / 2 E) - 8 / 2 | <gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">9 / 2</gadget>
<output>9/2 = around 4.5</output>
<result>C</result> | C | 4.5 | If the operation @ is defined for all a and b by the equation a@b =(a^b)/2,then (3@2)=? | {
"A": "4",
"B": "2",
"C": "9 / 2",
"D": "- 9 / 2",
"E": "- 8 / 2"
} | divide(power(3, 2), 2) | power(n1,n0)|divide(#0,n0) | work within the parenthesis first so solve ( 3 @ 2 ) first ( 3 @ 2 ) = ( 3 ^ 2 ) / 2 = 9 / 2 so 9 / 2 is the answer . . . . this question is merely testing order of operations remember pemdas answer : c | general |
math_qa__33brAHbqjjMtmesl | A boat can travel with a speed of 10 km/hr in still water. If the speed of the stream is 8 km/hr, find the time taken by the boat to go 54 km downstream. Select: A) 4.25 hr B) 5.25 hr C) 3 hr D) 2.25 hr E) 2.50 hr | <gadget id="calculator">10 + 8</gadget>
<output>18</output>
<gadget id="calculator">54 / 18</gadget>
<output>3</output>
<result>C</result> | C | 3 | A boat can travel with a speed of 10 km/hr in still water. If the speed of the stream is 8 km/hr, find the time taken by the boat to go 54 km downstream. | {
"A": "4.25 hr",
"B": "5.25 hr",
"C": "3 hr",
"D": "2.25 hr",
"E": "2.50 hr"
} | divide(54, add(10, 8)) | add(n0,n1)|divide(n2,#0)| | "speed of boat in still water = 10 km / hr speed of the stream = 8 km / hr speed downstream = ( 10 + 8 ) = 18 km / hr time taken to travel 68 km downstream = 54 â „ 18 = 17 â „ 4 = 3 hours answer is c" | physics |
math_qa__pFeJ12W0Xig6iJ3L | There is enough provisions for 9600 women in an army camp for 400 days. If there were 4800 men less, how long will the provision last? Choose one
A) 799 B) 800 C) 801 D) 802 E) 803 | <gadget id="calculator">9_600 * 400</gadget>
<output>3_840_000</output>
<gadget id="calculator">3_840_000 / 4_800</gadget>
<output>800</output>
<result>B</result> | B | 800 | There is enough provisions for 9600 women in an army camp for 400 days. If there were 4800 men less, how long will the provision last? | {
"A": "799",
"B": "800",
"C": "801",
"D": "802",
"E": "803"
} | divide(multiply(9600, 400), 4800) | multiply(n0,n1)|divide(#0,n2) | we have , m 1 d 1 = m 2 d 2 9600 * 400 = 4800 * d 2 d 2 = 9600 * 400 / 4800 = 800 days . answer : b | physics |
math_qa__qn9AactDg78iTSt5 | If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 3. Choose the correct answer:
A) 8
B) 5
C) 11
D) 3
E) 4 | <gadget id="calculator">6 + 2</gadget>
<output>8</output>
<gadget id="calculator">15 + 3</gadget>
<output>18</output>
<gadget id="calculator">8 * 18</gadget>
<output>144</output>
<gadget id="calculator">144 ** (1/2)</gadget>
<output>12</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">12 / 4</gadget>
<output>3</output>
<result>D</result> | D | 3 | If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 3. | {
"A": "8",
"B": "5",
"C": "11",
"D": "3",
"E": "4"
} | divide(sqrt(multiply(add(6, 2), add(15, 3))), add(3, 1)) | add(n0,n3)|add(n1,n4)|add(n2,n5)|multiply(#0,#1)|sqrt(#3)|divide(#4,#2)| | "6 * 15 * 3 = ( √ ( 6 + 2 ) ( 15 + 3 ) ) / ( 3 + 1 ) = ( √ 8 * 18 ) / 4 = ( √ 144 ) / 4 = 12 / 4 = 3 . answer is d ." | general |
math_qa__5JCDX569b0kTtuxK | A and B began business with Rs.6000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A.
Choose the correct choice from the following answers.
A) 240
B) 288
C) 277
D) 357
E) 361 | <gadget id="calculator">6_000 * 8</gadget>
<output>48_000</output>
<gadget id="calculator">6_000 - 1_000</gadget>
<output>5_000</output>
<gadget id="calculator">12 - 8</gadget>
<output>4</output>
<gadget id="calculator">5_000 * 4</gadget>
<output>20_000</output>
<gadget id="calculator">48_000 + 20_000</gadget>
<output>68_000</output>
<gadget id="calculator">4_000 * 8</gadget>
<output>32_000</output>
<gadget id="calculator">4_000 + 1_000</gadget>
<output>5_000</output>
<gadget id="calculator">32_000 + 20_000</gadget>
<output>52_000</output>
<gadget id="calculator">68_000 + 52_000</gadget>
<output>120_000</output>
<gadget id="calculator">630 / 120_000</gadget>
<output>21/4_000 = around 0.00525</output>
<gadget id="calculator">(21/4_000) * 68_000</gadget>
<output>357</output>
<result>D</result> | D | 357 | A and B began business with Rs.6000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A. | {
"A": "240",
"B": "288",
"C": "277",
"D": "357",
"E": "361"
} | multiply(divide(630, add(add(multiply(6000, 8), multiply(subtract(6000, 1000), subtract(const_12, 8))), add(multiply(4000, 8), multiply(add(4000, 1000), subtract(const_12, 8))))), add(multiply(6000, 8), multiply(subtract(6000, 1000), subtract(const_12, 8)))) | add(n1,n3)|multiply(n0,n2)|multiply(n1,n2)|subtract(n0,n3)|subtract(const_12,n2)|multiply(#3,#4)|multiply(#0,#4)|add(#1,#5)|add(#2,#6)|add(#7,#8)|divide(n5,#9)|multiply(#7,#10)| | "( 6 * 8 + 5 * 4 ) : ( 4 * 8 + 5 * 4 ) 17 : 13 17 / 30 * 630 = 357 answer : d" | gain |
math_qa__OCwipjtS5pW92ftw | Ifaequals the sum of the even integers from 2 to 80, inclusive, andbequals the sum of the odd integers from 1 to 79, inclusive, what is the value of a - b ? Choose the correct answer
A) 1 B) 10 C) 19 D) 40 E) 21 | <gadget id="calculator">80 / 2</gadget>
<output>40</output>
<gadget id="calculator">40 + 1</gadget>
<output>41</output>
<gadget id="calculator">40 * 41</gadget>
<output>1_640</output>
<gadget id="calculator">79 + 1</gadget>
<output>80</output>
<gadget id="calculator">79 - 1</gadget>
<output>78</output>
<gadget id="calculator">78 / 2</gadget>
<output>39</output>
<gadget id="calculator">39 + 1</gadget>
<output>40</output>
<gadget id="calculator">40 * 40</gadget>
<output>1_600</output>
<gadget id="calculator">1_640 - 1_600</gadget>
<output>40</output>
<result>D</result> | D | 40 | Ifaequals the sum of the even integers from 2 to 80, inclusive, andbequals the sum of the odd integers from 1 to 79, inclusive, what is the value of a - b ? | {
"A": "1",
"B": "10",
"C": "19",
"D": "40",
"E": "21"
} | subtract(multiply(divide(80, 2), add(divide(80, 2), 1)), multiply(divide(add(79, 1), 2), add(divide(subtract(79, 1), 2), 1))) | add(n2,n3)|divide(n1,n0)|subtract(n3,n2)|add(n2,#1)|divide(#2,n0)|divide(#0,n0)|add(n2,#4)|multiply(#3,#1)|multiply(#6,#5)|subtract(#7,#8)| | "this is a solution from beatthegmat : even numbers : ( 80 - 2 ) / 2 + 1 = 40 even integers . ( 80 + 2 ) / 2 = 41 is the average of the even set . sum = avg * ( # of elements ) = 41 * 40 = 1640 = a odd numbers : ( 79 - 1 ) / 2 + 1 = 40 odd integers . ( 79 + 1 ) / 2 = 40 is the average of the odd set . sum = avg * ( # of elements ) = 40 * 40 = 1600 = b a - b = 1640 - 1600 = 40 . answer : d" | general |
math_qa__LMhVr6QFZSprqc50 | If an average hard drive had a capacity of 0.6 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050? Choose one:
A) 256 B) 512 C) 768 D) 6144 E) 1536 | <gadget id="calculator">0.6 * 2</gadget>
<output>1.2</output>
<gadget id="calculator">1.2 * 2</gadget>
<output>2.4</output>
<gadget id="calculator">2.4 * 2</gadget>
<output>4.8</output>
<gadget id="calculator">4.8 * 2</gadget>
<output>9.6</output>
<gadget id="calculator">9.6 * 2</gadget>
<output>19.2</output>
<gadget id="calculator">19.2 * 2</gadget>
<output>38.4</output>
<gadget id="calculator">38.4 * 2</gadget>
<output>76.8</output>
<gadget id="calculator">76.8 * 2</gadget>
<output>153.6</output>
<gadget id="calculator">153.6 * 2</gadget>
<output>307.2</output>
<gadget id="calculator">307.2 * 2</gadget>
<output>614.4</output>
<gadget id="calculator">614.4 + 0.6</gadget>
<output>615</output>
<gadget id="calculator">615 * 10</gadget>
<output>6_150</output>
<result>D</result> | D | 6,144 | If an average hard drive had a capacity of 0.6 TB in 2000, and average hard drive capacities double every 5 years, what will be the average hard drive capacity in 2050? | {
"A": "256",
"B": "512",
"C": "768",
"D": "6144",
"E": "1536"
} | multiply(add(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(multiply(0.6, const_2), const_2), const_2), const_2), const_2), const_2), const_2), const_2), const_2), const_2), 0.6), const_10) | multiply(n0,const_2)|multiply(#0,const_2)|multiply(#1,const_2)|multiply(#2,const_2)|multiply(#3,const_2)|multiply(#4,const_2)|multiply(#5,const_2)|multiply(#6,const_2)|multiply(#7,const_2)|multiply(#8,const_2)|add(n0,#9)|multiply(#10,const_10)| | "0.6 * 2 ^ 10 = 0.6 * 1024 = 614.4 the answer is d ." | general |
math_qa__OCOKkbfohYSuaynK | two digits in father ' s age are the same as the digit in the son ' s age , but in reverse order . in 5 years father will be twice as old as son will be then . what is the difference in their current age ? Choose one:
A) 18 B) 16 C) 34 D) 25 E) 12 | <gadget id="calculator">5 * 4</gadget>
<output>20</output>
<gadget id="calculator">20 - 2</gadget>
<output>18</output>
<result>A</result> | A | 18 | two digits in father ' s age are the same as the digit in the son ' s age , but in reverse order . in 5 years father will be twice as old as son will be then . what is the difference in their current age ? | {
"A": "18",
"B": "16",
"C": "34",
"D": "25",
"E": "12"
} | subtract(multiply(5, const_4), const_2) | multiply(n0,const_4)|subtract(#0,const_2) | father ' s age = 10 x + y so son ' s age = 10 y + x . . after 5 years , 10 x + y + 5 = 2 * ( 10 y + x + 5 ) . . . . so 5 + 19 y = 8 x . . . check for odd values of y , y = 1 satisfies the eqn with x = 3 . . . so ages are 31 and 13 and ans as found correctly by u is a . . 18 | general |
math_qa__JnOheBrs2rxo4P8C | A train running at the speed of 60 km/hr crosses a pole in 18 seconds. What is the length of the train?
Choose the correct option:
A) 187 m
B) 278 m
C) 300 m
D) 150 m
E) 267 m | <gadget id="calculator">60 * 1_000</gadget>
<output>60_000</output>
<gadget id="calculator">60_000 / 3_600</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">(50/3) * 18</gadget>
<output>300</output>
<result>C</result> | C | 300 | A train running at the speed of 60 km/hr crosses a pole in 18 seconds. What is the length of the train? | {
"A": "187 m",
"B": "278 m",
"C": "300 m",
"D": "150 m",
"E": "267 m"
} | multiply(divide(multiply(60, const_1000), const_3600), 18) | multiply(n0,const_1000)|divide(#0,const_3600)|multiply(n1,#1)| | "speed = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec length of the train = ( speed x time ) = ( 50 / 3 * 18 ) m = 300 m . answer : c" | physics |
math_qa__TLqyYaBi2pVGZQc7 | The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A? Answers.
A) 2000
B) 3000
C) 4000
D) 5000
E) 6200 | <gadget id="calculator">2 * 5_050</gadget>
<output>10_100</output>
<gadget id="calculator">2 * 6_250</gadget>
<output>12_500</output>
<gadget id="calculator">2 * 5_200</gadget>
<output>10_400</output>
<gadget id="calculator">12_500 - 10_400</gadget>
<output>2_100</output>
<gadget id="calculator">10_100 + 2_100</gadget>
<output>12_200</output>
<gadget id="calculator">12_200 / 2</gadget>
<output>6_100</output>
<gadget id="calculator">10_100 - 6_100</gadget>
<output>4_000</output>
<result>C</result> | C | 4,000 | The average monthly income of A and B is Rs. 5050. The average monthly income of B and C is Rs. 6250 and the average monthly income of A and C is Rs. 5200. What is the monthly income of A? | {
"A": "2000",
"B": "3000",
"C": "4000",
"D": "5000",
"E": "6200"
} | subtract(multiply(const_2, 5050), divide(add(multiply(const_2, 5050), subtract(multiply(const_2, 6250), multiply(const_2, 5200))), const_2)) | multiply(n0,const_2)|multiply(n1,const_2)|multiply(n2,const_2)|subtract(#1,#2)|add(#0,#3)|divide(#4,const_2)|subtract(#0,#5)| | "explanation : let monthly income of a = a monthly income of b = b monthly income of c = c a + b = 2 × 5050 . . . . ( equation 1 ) b + c = 2 × 6250 . . . . ( equation 2 ) a + c = 2 × 5200 . . . . ( equation 3 ) ( equation 1 ) + ( equation 3 ) - ( equation 2 ) = > a + b + a + c - ( b + c ) = ( 2 × 5050 ) + ( 2 × 5200 ) - ( 2 × 6250 ) = > 2 a = 2 ( 5050 + 5200 - 6250 ) = > a = 4000 i . e . , monthly income of a = 4000 answer is c" | general |
math_qa__VphA0WTfHvAo5y0D | The length of a rectangular floor is more than its breadth by 200%. If Rs.529 is required to paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?
Choose the correct choice from the following answers.
A) 12 B) 18 C) 20 D) 22 E) 23 | <gadget id="calculator">529 / 3</gadget>
<output>529/3 = around 176.333333</output>
<gadget id="calculator">(529/3) / 3</gadget>
<output>529/9 = around 58.777778</output>
<gadget id="calculator">(529/9) ** (1/2)</gadget>
<output>23/3 = around 7.666667</output>
<gadget id="calculator">(23/3) * 3</gadget>
<output>23</output>
<result>E</result> | E | 23 | The length of a rectangular floor is more than its breadth by 200%. If Rs.529 is required to paint the floor at the rate of Rs.3/sq m, what would be the length of the floor? | {
"A": "12",
"B": "18",
"C": "20",
"D": "22",
"E": "23"
} | multiply(sqrt(divide(divide(529, 3), const_3)), const_3) | divide(n1,n2)|divide(#0,const_3)|sqrt(#1)|multiply(#2,const_3)| | "let the length and the breadth of the floor be l m and b m respectively . l = b + 200 % of b = l + 2 b = 3 b area of the floor = 529 / 3 = 176.33 sq m l b = 176.33 i . e . , l * l / 3 = 176.33 l ^ 2 = 529 = > l = 23 e" | gain |
math_qa__nPKG08g4jPMHfXLL | Walking at 5/6th of its usual speed a cab is 8mnts late. Find its usual time to cover the journey? Choose the correct choice from the following answers.
A) 25 m
B) 45 m
C) 40 m
D) 50 m
E) 62 m | <gadget id="calculator">5 * 8</gadget>
<output>40</output>
<result>C</result> | C | 40 | Walking at 5/6th of its usual speed a cab is 8mnts late. Find its usual time to cover the journey? | {
"A": "25 m",
"B": "45 m",
"C": "40 m",
"D": "50 m",
"E": "62 m"
} | multiply(5, 8) | multiply(n0,n2)| | "new speed = 5 / 6 th of usual speed new time = 6 / 5 th of usual time 6 / 5 ut - ut = 8 m ut / 5 = 8 m ut = 40 m answer is c" | physics |
math_qa__EffNi1kFtBOGFb5z | A and B can do a piece of work in 4 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days? Choose the correct choice from the following choices: A) 4.05 days B) 5.05 days C) 14.76 days D) 8.05 days E) 15.05 days | <gadget id="calculator">1 / 16</gadget>
<output>1/16 = around 0.0625</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/4) + (1/12)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/16) + (1/3)</gadget>
<output>19/48 = around 0.395833</output>
<gadget id="calculator">(19/48) / 2</gadget>
<output>19/96 = around 0.197917</output>
<gadget id="calculator">1 / (19/96)</gadget>
<output>96/19 = around 5.052632</output>
<result>B</result> | B | 5.05 | A and B can do a piece of work in 4 days. B and C can do it in 12 days and A and C in 16 days. Working together they will complete the work in how many days? | {
"A": "4.05 days",
"B": "5.05 days",
"C": "14.76 days",
"D": "8.05 days",
"E": "15.05 days"
} | inverse(divide(add(inverse(16), add(inverse(4), inverse(12))), const_2)) | inverse(n0)|inverse(n1)|inverse(n2)|add(#0,#1)|add(#3,#2)|divide(#4,const_2)|inverse(#5)| | "a + b = 1 / 4 b + c = 1 / 12 c + a = 1 / 16 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 2 ( a + b + c ) = 1 / 4 + 1 / 12 + 1 / 16 = 19 / 48 a + b + c = 19 / 96 96 / 19 = 5.05 days answer : b" | physics |
math_qa__U9RV37m0j8YpJVJ7 | The cost of 3 pens and 5 pencils is Rs.200. Also the cost of one pen and one pencil is in the ratio of 5:1 respectively. What is the cost of one dozen pens? Choose the correct choice:
A) rs . 200 B) rs . 250 C) rs . 300 D) rs . 150 E) rs . 600 | <gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">200 / 4</gadget>
<output>50</output>
<gadget id="calculator">12 * 50</gadget>
<output>600</output>
<result>E</result> | E | 600 | The cost of 3 pens and 5 pencils is Rs.200. Also the cost of one pen and one pencil is in the ratio of 5:1 respectively. What is the cost of one dozen pens? | {
"A": "rs . 200",
"B": "rs . 250",
"C": "rs . 300",
"D": "rs . 150",
"E": "rs . 600"
} | multiply(multiply(3, const_4), divide(200, add(3, 1))) | add(n0,n4)|multiply(n0,const_4)|divide(n2,#0)|multiply(#2,#1)| | "explanation : let the cost of one pen is ‘ 5 x ’ and pencil is ‘ x ’ 3 x 5 x + 5 x = rs . 200 15 x + 5 x = rs . 200 x = 200 / 20 = 10 : . cost of 1 pen = 5 x = 5 x 10 = 50 : . cost of 12 pens , i . e . ( one dozen ) = 50 x 12 = rs . 600 answer : option e" | other |
math_qa__csLGi3th5I0KMBzb | The captain of a cricket team of 11 members is 25 years old and the wicket keeper is 5 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
Select: A) 20 B) 21 C) 23 D) 25 E) 26 | <gadget id="calculator">25 + 5</gadget>
<output>30</output>
<gadget id="calculator">25 + 30</gadget>
<output>55</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">55 - 9</gadget>
<output>46</output>
<gadget id="calculator">46 / 2</gadget>
<output>23</output>
<result>C</result> | C | 23 | The captain of a cricket team of 11 members is 25 years old and the wicket keeper is 5 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team? | {
"A": "20",
"B": "21",
"C": "23",
"D": "25",
"E": "26"
} | divide(subtract(add(25, add(25, 5)), multiply(const_3.0, const_3.0)), const_2) | add(n1,n2)|multiply(const_3.0,const_3.0)|add(n1,#0)|subtract(#2,#1)|divide(#3,const_2)| | "let the average age of the whole team be x years . 11 x - ( 25 + 30 ) = 9 ( x - 1 ) 11 x - 9 x = 46 2 x = 46 x = 23 . the average age of the team is 23 years . the answer is c ." | general |
math_qa__8tSzjelh5Lp1nMjc | Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 72% percent carbonated water, what percent of the volume of the mixture is P? Pick one
A) 48 % B) 54 % C) 60 % D) 64 % E) 68 % | <gadget id="calculator">72 / 100</gadget>
<output>18/25 = around 0.72</output>
<gadget id="calculator">55 / 100</gadget>
<output>11/20 = around 0.55</output>
<gadget id="calculator">(18/25) - (11/20)</gadget>
<output>17/100 = around 0.17</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) - (18/25)</gadget>
<output>2/25 = around 0.08</output>
<gadget id="calculator">(17/100) + (2/25)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(17/100) / (1/4)</gadget>
<output>17/25 = around 0.68</output>
<gadget id="calculator">(17/25) * 100</gadget>
<output>68</output>
<result>E</result> | E | 68 | Solution P is 20 percent lemonade and 80 percent carbonated water by volume; solution Q is 45 percent lemonade and 55 percent carbonated water by volume. If a mixture of PQ contains 72% percent carbonated water, what percent of the volume of the mixture is P? | {
"A": "48 %",
"B": "54 %",
"C": "60 %",
"D": "64 %",
"E": "68 %"
} | multiply(divide(subtract(divide(72, const_100), divide(55, const_100)), add(subtract(divide(72, const_100), divide(55, const_100)), subtract(divide(80, const_100), divide(72, const_100)))), const_100) | divide(n4,const_100)|divide(n3,const_100)|divide(n1,const_100)|subtract(#0,#1)|subtract(#2,#0)|add(#3,#4)|divide(#3,#5)|multiply(#6,const_100) | 72 % is 8 % - points below 80 % and 17 % - points above 55 % . so the ratio of solution p to solution q is 17 : 8 . mixture p is 17 / 25 = 68 % of the volume of mixture pq . the answer is e . | gain |
math_qa__byaMfqjATm5jbsku | Two numbers N and 16 have LCM = 48 and GCF = 8. Find N.
Options:
A) 11 B) 32 C) 24 D) 48 E) 50 | <gadget id="calculator">48 * 8</gadget>
<output>384</output>
<gadget id="calculator">384 / 16</gadget>
<output>24</output>
<result>C</result> | C | 24 | Two numbers N and 16 have LCM = 48 and GCF = 8. Find N. | {
"A": "11",
"B": "32",
"C": "24",
"D": "48",
"E": "50"
} | divide(multiply(48, 8), 16) | multiply(n1,n2)|divide(#0,n0)| | "the product of two integers is equal to the product of their lcm and gcf . hence . 16 * n = 48 * 8 n = 48 * 8 / 16 = 24 correct answer c" | physics |
math_qa__1QTcFEbue0ZcJqcD | If y > 0, (2y)/5 + (3y)/10 is what percent of y?
Choose the correct choice from the following:
A) 40 %
B) 50 %
C) 60 %
D) 70 %
E) 80 % | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(2/5) + (3/10)</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">100 * (7/10)</gadget>
<output>70</output>
<result>D</result> | D | 70 | If y > 0, (2y)/5 + (3y)/10 is what percent of y? | {
"A": "40 %",
"B": "50 %",
"C": "60 %",
"D": "70 %",
"E": "80 %"
} | multiply(const_100, add(divide(2, 5), divide(3, 10))) | divide(n1,n2)|divide(n3,n4)|add(#0,#1)|multiply(#2,const_100) | can be reduced to 2 y / 5 + 3 y / 10 = 2 y / 5 = 70 % d | general |
math_qa__np4IeK0hTV9URkX3 | Evaluate: 2344 - 12*3*2 =? Choose the most appropriate option.
A) 2337 B) 1227 C) 3327 D) 5457 E) 7677 | <gadget id="calculator">12 * 3</gadget>
<output>36</output>
<gadget id="calculator">36 * 2</gadget>
<output>72</output>
<gadget id="calculator">2_344 - 72</gadget>
<output>2_272</output>
<result>A</result> | A | 2,337 | Evaluate: 2344 - 12*3*2 =? | {
"A": "2337",
"B": "1227",
"C": "3327",
"D": "5457",
"E": "7677"
} | subtract(2344, multiply(multiply(12, 3), 2)) | multiply(n1,n2)|multiply(n3,#0)|subtract(n0,#1)| | "according to order of operations , 12 ? 3 ? 2 ( division and multiplication ) is done first from left to right 12 * * 2 = 4 * 2 = 8 hence 2344 - 12 * 3 * 2 = 2344 - 8 = 2337 correct answer a" | general |
math_qa__vDVuEWtv7bd8FgBn | A distributor sells a product through an on-line store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $15 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 20% profit on the cost of the item?
Options: A) 18 B) 21.6 C) 22 D) 22.5 E) 27 | <gadget id="calculator">100 + 20</gadget>
<output>120</output>
<gadget id="calculator">120 / 100</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">15 * (6/5)</gadget>
<output>18</output>
<gadget id="calculator">18 * (6/5)</gadget>
<output>108/5 = around 21.6</output>
<result>D</result> | D | 22.5 | A distributor sells a product through an on-line store, which take a commission of 20% of the price set by the distributor. The distributor obtains the product from a producer at the price of $15 per item. What is the price that the buyer observers on-line if the distributor wants to maintain a 20% profit on the cost of the item? | {
"A": "18",
"B": "21.6",
"C": "22",
"D": "22.5",
"E": "27"
} | multiply(multiply(15, divide(add(const_100, 20), const_100)), divide(add(const_100, 20), const_100)) | add(n0,const_100)|add(n2,const_100)|divide(#0,const_100)|divide(#1,const_100)|multiply(n1,#3)|multiply(#2,#4)| | "producer price = $ 15 ; the distributor wants to maintain a 20 % profit on the cost of the item , thus he must get $ 15 * 1.2 = $ 18 after the store takes a commission of 20 % of the final price - - > ( final price ) * 0.8 = $ 18 - - > ( final price ) = $ 22.5 . answer : d ." | gain |
math_qa__M5YGrwlmUwE4GOjF | The product of x and y is a constant. If the value of x is increased by 80%, by what percentage must the value of y be decreased?
Choose the correct choice from the following answers:
A) 45 %
B) 55 %
C) 35 %
D) 40 %
E) 44.44 % | <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">1 - (5/9)</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">(4/9) * 100</gadget>
<output>400/9 = around 44.444444</output>
<result>E</result> | E | 44.44 | The product of x and y is a constant. If the value of x is increased by 80%, by what percentage must the value of y be decreased? | {
"A": "45 %",
"B": "55 %",
"C": "35 %",
"D": "40 %",
"E": "44.44 %"
} | multiply(subtract(const_1, divide(const_100, add(const_100, 80))), const_100) | add(n0,const_100)|divide(const_100,#0)|subtract(const_1,#1)|multiply(#2,const_100)| | "x * y = constt . let x = y = 100 in beginning i . e . x * y = 100 * 100 = 10000 x ( 100 ) - - - becomes - - - > 1.8 x ( 180 ) i . e . 180 * new ' y ' = 10000 i . e . new ' y ' = 10000 / 180 = 55.55 i . e . y decreases from 100 to 55.55 i . e . decrease of 44.44 % answer : option e" | general |
math_qa__Ma6Z0i2qEa2WTFEM | In what time will a train 100 meters long cross an electric pole, if its speed is 90 km/hr Choose the most appropriate option.
A) 8.5 seconds B) 2.8 seconds C) 3.5 seconds D) 2.5 seconds E) 4 seconds | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">90 * (5/18)</gadget>
<output>25</output>
<gadget id="calculator">100 / 25</gadget>
<output>4</output>
<result>E</result> | E | 4 | In what time will a train 100 meters long cross an electric pole, if its speed is 90 km/hr | {
"A": "8.5 seconds",
"B": "2.8 seconds",
"C": "3.5 seconds",
"D": "2.5 seconds",
"E": "4 seconds"
} | divide(100, multiply(90, const_0_2778)) | multiply(n1,const_0_2778)|divide(n0,#0)| | "first convert speed into m / sec speed = 90 * ( 5 / 18 ) = 25 m / sec time = distance / speed = 100 / 25 = 4 seconds answer : e" | physics |
math_qa__lKrLfLch8M67AoAN | The roof of an apartment building is rectangular and its length is 7 times longer than its width. If the area of the roof is 847 feet squared, what is the difference between the length and the width of the roof? Pick one
A) 38 . B) 40 . C) 66 . D) 44 . E) 46 . | <gadget id="calculator">847 / 7</gadget>
<output>121</output>
<gadget id="calculator">121 ** (1/2)</gadget>
<output>11</output>
<gadget id="calculator">11 * 7</gadget>
<output>77</output>
<gadget id="calculator">77 - 11</gadget>
<output>66</output>
<result>C</result> | C | 66 | The roof of an apartment building is rectangular and its length is 7 times longer than its width. If the area of the roof is 847 feet squared, what is the difference between the length and the width of the roof? | {
"A": "38 .",
"B": "40 .",
"C": "66 .",
"D": "44 .",
"E": "46 ."
} | subtract(multiply(sqrt(divide(847, 7)), 7), sqrt(divide(847, 7))) | divide(n1,n0)|sqrt(#0)|multiply(#1,n0)|subtract(#2,#1)| | "answer is c : 66 let w be the width , so length is 7 w . therefore : w * 7 w = 847 , solving for , w = 11 , so 7 w - w = 6 w = 6 * 11 = 66" | geometry |
math_qa__qVi30UHi6UoNgvKM | A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 3000. The difference between the profit shares of A and C is? Pick:
A) 621
B) 276
C) 236
D) 600
E) 1200 | <gadget id="calculator">12_000 / 10_000</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">8_000 / 10_000</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(6/5) - (4/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 3_000</gadget>
<output>1_200</output>
<result>E</result> | E | 1,200 | A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively. At the end of the year, the profit share of B is Rs. 3000. The difference between the profit shares of A and C is? | {
"A": "621",
"B": "276",
"C": "236",
"D": "600",
"E": "1200"
} | multiply(subtract(divide(12000, 10000), divide(8000, 10000)), 3000) | divide(n2,n1)|divide(n0,n1)|subtract(#0,#1)|multiply(n3,#2)| | "explanation : ratio of investments of a , b and c is 8000 : 10000 : 12000 = 4 : 5 : 6 and also given that , profit share of b is rs . 3000 = > 5 parts out of 15 parts is rs . 3000 now , required difference is 6 - 4 = 2 parts required difference = 2 / 5 ( 3000 ) = rs . 1200 answer : e" | gain |
math_qa__7CoR81XAHmxlQWno | The average age of 15 students of a class is 15 years. Out of these, the average age of 4 students is 14 years and that of the other 10 students is 16 years, The age of the 15th student is
Choose the correct choice from the following answers:
A) 11
B) 12
C) 9
D) 14
E) 15 | <gadget id="calculator">15 * 15</gadget>
<output>225</output>
<gadget id="calculator">4 * 14</gadget>
<output>56</output>
<gadget id="calculator">10 * 16</gadget>
<output>160</output>
<gadget id="calculator">56 + 160</gadget>
<output>216</output>
<gadget id="calculator">225 - 216</gadget>
<output>9</output>
<result>C</result> | C | 9 | The average age of 15 students of a class is 15 years. Out of these, the average age of 4 students is 14 years and that of the other 10 students is 16 years, The age of the 15th student is | {
"A": "11",
"B": "12",
"C": "9",
"D": "14",
"E": "15"
} | subtract(multiply(15, 15), add(multiply(4, 14), multiply(10, 16))) | multiply(n0,n0)|multiply(n2,n3)|multiply(n4,n5)|add(#1,#2)|subtract(#0,#3)| | "explanation : age of the 15 th student = [ 15 * 15 - ( 14 * 5 + 16 * 9 ) ] = 9 years . answer : c" | general |
math_qa__kvnUOP6eqGRTSDWI | The circumferences of two circles are 660 meters and 704 meters. Find the difference between the areas of the larger and the smaller circles? Choose the correct choice from the following choices.
A) 2996 sq m B) 4774 sq m C) 4312 sq m D) 2768 sq m E) 2786 sq m | <gadget id="calculator">2 * pi</gadget>
<output>2*pi = around 6.283185</output>
<gadget id="calculator">704 / (2*pi)</gadget>
<output>352/pi = around 112.04508</output>
<gadget id="calculator">pi * ((352/pi) ** 2)</gadget>
<output>123904/pi = around 39_439.868138</output>
<gadget id="calculator">660 / (2*pi)</gadget>
<output>330/pi = around 105.042262</output>
<gadget id="calculator">pi * ((330/pi) ** 2)</gadget>
<output>108900/pi = around 34_663.946605</output>
<gadget id="calculator">(123904/pi) - (108900/pi)</gadget>
<output>15004/pi = around 4_775.921532</output>
<result>B</result> | B | 4,774 | The circumferences of two circles are 660 meters and 704 meters. Find the difference between the areas of the larger and the smaller circles? | {
"A": "2996 sq m",
"B": "4774 sq m",
"C": "4312 sq m",
"D": "2768 sq m",
"E": "2786 sq m"
} | subtract(circle_area(divide(704, multiply(const_2, const_pi))), circle_area(divide(660, multiply(const_2, const_pi)))) | multiply(const_2,const_pi)|divide(n1,#0)|divide(n0,#0)|circle_area(#1)|circle_area(#2)|subtract(#3,#4)| | "let the radii of the smaller and the larger circles be s m and l m respectively . 2 ∏ s = 660 and 2 ∏ l = 704 s = 660 / 2 ∏ and l = 704 / 2 ∏ difference between the areas = ∏ l ^ 2 - ∏ s ^ 2 = ∏ { 330 ^ 2 / ∏ ^ 2 - 352 ^ 2 / ∏ ^ 2 } = 330 ^ 2 / ∏ - 352 ^ 2 / ∏ = ( 330 - 352 ) ( 330 + 352 ) / ∏ = ( 22 ) ( 682 ) / ( 22 / 7 ) = 4774 sq m answer : b" | geometry |
math_qa__8BdXCFpbexvJeKrG | P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work? Choose the correct answer.
A) 9 B) 10 C) 11 D) 13 E) 15 | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(3/10) + 1</gadget>
<output>13/10 = around 1.3</output>
<gadget id="calculator">(13/10) * 23</gadget>
<output>299/10 = around 29.9</output>
<gadget id="calculator">(13/10) + 1</gadget>
<output>23/10 = around 2.3</output>
<gadget id="calculator">(299/10) / (23/10)</gadget>
<output>13</output>
<result>D</result> | D | 13 | P is 30% more efficient than Q. P can complete a work in 23 days. If P and Q work together, how much time will it take to complete the same work? | {
"A": "9",
"B": "10",
"C": "11",
"D": "13",
"E": "15"
} | divide(multiply(add(divide(30, const_100), const_1), 23), add(add(divide(30, const_100), const_1), const_1)) | divide(n0,const_100)|add(#0,const_1)|add(#1,const_1)|multiply(n1,#1)|divide(#3,#2)| | "work done by p in 1 day = 1 / 23 let work done by q in 1 day = q q × ( 130 / 100 ) = 1 / 23 = > q = 100 / ( 23 × 130 ) = 10 / ( 23 × 13 ) work done by p and q in 1 day = 1 / 23 + 10 / ( 23 × 13 ) = 23 / ( 23 × 13 ) = 1 / 13 = > p and q together can do the work in 13 days option d" | physics |
math_qa__fIBe8DKT7XCni6EU | The speed at which a man can row a boat in still water is 16 kmph. If he rows downstream, where the speed of current is 4 kmph, what time will he take to cover 100 metres? Choose the correct option:
A) 23 B) 27 C) 28 D) 12 E) 18 | <gadget id="calculator">16 + 4</gadget>
<output>20</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">20 * (5/18)</gadget>
<output>50/9 = around 5.555556</output>
<gadget id="calculator">100 / (50/9)</gadget>
<output>18</output>
<result>E</result> | E | 18 | The speed at which a man can row a boat in still water is 16 kmph. If he rows downstream, where the speed of current is 4 kmph, what time will he take to cover 100 metres? | {
"A": "23",
"B": "27",
"C": "28",
"D": "12",
"E": "18"
} | divide(100, multiply(add(16, 4), const_0_2778)) | add(n0,n1)|multiply(#0,const_0_2778)|divide(n2,#1)| | speed of the boat downstream = 16 + 4 = 20 kmph = 20 * 5 / 18 = 5.55 m / s hence time taken to cover 100 m = 100 / 5.55 = 18 seconds . answer : e | physics |
math_qa__HiwhzGBeXPlNBMYY | On the first of the year, James invested x dollars at Proudstar bank in an account that yields 2% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year? Choices
A) 2.04 %
B) 6.12 %
C) 8 %
D) 8.25 %
E) 10 % | <gadget id="calculator">2 * 4</gadget>
<output>8</output>
<result>D</result> | D | 8.25 | On the first of the year, James invested x dollars at Proudstar bank in an account that yields 2% in interest every quarter year. At the end of the year, during which he made no additional deposits or withdrawals, he had y dollars in the account. If James had invested the same amount in an account which pays interest on a yearly basis, what must the interest rate be for James to have y dollars at the end of the year? | {
"A": "2.04 %",
"B": "6.12 %",
"C": "8 %",
"D": "8.25 %",
"E": "10 %"
} | multiply(2, const_4) | multiply(n0,const_4)| | "per quarter , interest = 2 % so for a year , interest = 8 % due to quarter cumulation , effective yield ( ytm ) would be slight higher than 8 % answer = 8.25 % = answer : d" | gain |
math_qa__O2Bp562yAYp4Nd3E | The sale price sarees listed for Rs.390 after successive discount is 14% and 15% is? Select:
A) 285
B) 277
C) 290
D) 662
E) 262 | <gadget id="calculator">390 * 14</gadget>
<output>5_460</output>
<gadget id="calculator">5_460 / 100</gadget>
<output>273/5 = around 54.6</output>
<gadget id="calculator">390 - (273/5)</gadget>
<output>1_677/5 = around 335.4</output>
<gadget id="calculator">(1_677/5) * 15</gadget>
<output>5_031</output>
<gadget id="calculator">5_031 / 100</gadget>
<output>5_031/100 = around 50.31</output>
<gadget id="calculator">(1_677/5) - (5_031/100)</gadget>
<output>28_509/100 = around 285.09</output>
<result>A</result> | A | 285 | The sale price sarees listed for Rs.390 after successive discount is 14% and 15% is? | {
"A": "285",
"B": "277",
"C": "290",
"D": "662",
"E": "262"
} | subtract(subtract(390, divide(multiply(390, 14), const_100)), divide(multiply(subtract(390, divide(multiply(390, 14), const_100)), 15), const_100)) | multiply(n0,n1)|divide(#0,const_100)|subtract(n0,#1)|multiply(n2,#2)|divide(#3,const_100)|subtract(#2,#4)| | "390 * ( 86 / 100 ) * ( 85 / 100 ) = 285 answer : a" | gain |
math_qa__tSds0pID8C7HQEmS | If a rectangular billboard has an area of 91 square feet and a perimeter of 40 feet, what is the length of each of the shorter sides?
Choose the correct answer:
A) 4 B) 7 C) 8 D) 13 E) 26 | <gadget id="calculator">40 / 2</gadget>
<output>20</output>
<gadget id="calculator">20 ** 2</gadget>
<output>400</output>
<gadget id="calculator">4 * 91</gadget>
<output>364</output>
<gadget id="calculator">400 - 364</gadget>
<output>36</output>
<gadget id="calculator">36 ** (1/2)</gadget>
<output>6</output>
<gadget id="calculator">20 - 6</gadget>
<output>14</output>
<gadget id="calculator">14 / 2</gadget>
<output>7</output>
<result>B</result> | B | 7 | If a rectangular billboard has an area of 91 square feet and a perimeter of 40 feet, what is the length of each of the shorter sides? | {
"A": "4",
"B": "7",
"C": "8",
"D": "13",
"E": "26"
} | divide(subtract(divide(40, const_2), sqrt(subtract(power(divide(40, const_2), const_2), multiply(const_4, 91)))), const_2) | divide(n1,const_2)|multiply(n0,const_4)|power(#0,const_2)|subtract(#2,#1)|sqrt(#3)|subtract(#0,#4)|divide(#5,const_2)| | "this question can be solved algebraically or by testing the answers . we ' re told that a rectangle has an area of 91 and a perimeter of 40 . we ' re asked for the length of one of the shorter sides of the rectangle . since the answers are all integers , and the area is 91 , the shorter side will almost certainly be less than 10 ( since 10 x 10 = 100 , but we ' re not dealing with a square ) . let ' s test answer b : 7 if . . . the shorter side = 7 . . . the area = 91 . . . . 91 / 7 = 13 = the longer side perimeter = 7 + 7 + 13 + 13 = 40 b" | geometry |
math_qa__zXXJcngOPWaYnoU7 | Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 5 cm and 4 cm? Select: A) 189 cm 2 B) 150 cm 2 C) 127 cm 2 D) 177 cm 2 E) 90 cm 2 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">4 + 5</gadget>
<output>9</output>
<gadget id="calculator">(1/2) * 9</gadget>
<output>9/2 = around 4.5</output>
<gadget id="calculator">(9/2) * 20</gadget>
<output>90</output>
<result>E</result> | E | 90 | Find the area of the quadrilateral of one of its diagonals is 20 cm and its off sets 5 cm and 4 cm? | {
"A": "189 cm 2",
"B": "150 cm 2",
"C": "127 cm 2",
"D": "177 cm 2",
"E": "90 cm 2"
} | multiply(multiply(divide(const_1, const_2), add(4, 5)), 20) | add(n1,n2)|divide(const_1,const_2)|multiply(#0,#1)|multiply(n0,#2)| | "1 / 2 * 20 ( 5 + 4 ) = 90 cm 2 answer : e" | geometry |
math_qa__x2s0Mujz5ic9M7QN | A club wants to mix 20 pounds of candy worth $10.00 per pound with candy worth $5.00 per pound to reduce the cost of the mixture to $6.00 per pound. How many pounds of the $5.00 per pound candy should be used?
Answers:
A) 40 B) 50 C) 60 D) 70 E) 80 | <gadget id="calculator">20 * 10</gadget>
<output>200</output>
<gadget id="calculator">6 * 20</gadget>
<output>120</output>
<gadget id="calculator">200 - 120</gadget>
<output>80</output>
<result>E</result> | E | 80 | A club wants to mix 20 pounds of candy worth $10.00 per pound with candy worth $5.00 per pound to reduce the cost of the mixture to $6.00 per pound. How many pounds of the $5.00 per pound candy should be used? | {
"A": "40",
"B": "50",
"C": "60",
"D": "70",
"E": "80"
} | subtract(multiply(20, 10.00), multiply(6.00, 20)) | multiply(n0,n1)|multiply(n0,n3)|subtract(#0,#1)| | "let number of pounds of 5 $ candy to be used be w 6 = ( 20 * 10 + 5 * w ) / ( 20 + w ) = > 120 + 6 w = 200 + 5 w = > w = 80 answer e" | general |
math_qa__j2dKCPbR23nZAUIJ | the reciprocal of the hcf and lcm of two are 1/12 and 1/312 .if one of the number is 24 then other no. is Select:
A) 126
B) 136
C) 146
D) 156
E) 166 | <gadget id="calculator">12 * 312</gadget>
<output>3_744</output>
<gadget id="calculator">3_744 / 24</gadget>
<output>156</output>
<result>D</result> | D | 156 | the reciprocal of the hcf and lcm of two are 1/12 and 1/312 .if one of the number is 24 then other no. is | {
"A": "126",
"B": "136",
"C": "146",
"D": "156",
"E": "166"
} | divide(multiply(12, 312), 24) | multiply(n1,n3)|divide(#0,n4)| | "reciprocal of the hcf and lcm of two are 1 / 12 and 1 / 312 so , hcf = 12 , lcm = 312 lcm * hcf = product of two numbers = a * b = > b = lcm * hcf / a so , other = 12 * 312 / 24 = 156 answer : d" | physics |
math_qa__UXQFEovu7DeKEZFH | A can do a piece of work 20 days. B can do work in 35 days. In how many days they will complete the work together? Options.
A) 15 days B) 16.32 days C) 12.72 days D) 17 days E) 18 days | <gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 / 35</gadget>
<output>1/35 = around 0.028571</output>
<gadget id="calculator">(1/20) + (1/35)</gadget>
<output>11/140 = around 0.078571</output>
<gadget id="calculator">1 / (11/140)</gadget>
<output>140/11 = around 12.727273</output>
<result>C</result> | C | 12.72 | A can do a piece of work 20 days. B can do work in 35 days. In how many days they will complete the work together? | {
"A": "15 days",
"B": "16.32 days",
"C": "12.72 days",
"D": "17 days",
"E": "18 days"
} | divide(const_1, add(divide(const_1, 20), divide(const_1, 35))) | divide(const_1,n0)|divide(const_1,n1)|add(#0,#1)|divide(const_1,#2)| | "lcm = 140 , ratio = 20 : 35 = 4 : 7 no of days = 140 / ( 4 + 7 ) = 90 / 5 = 12.72 days answer : c" | physics |
math_qa__mFgtR9fjHTWFfKpp | The sale price shirts listed for Rs.1000 after successive discount is 15% and 2% is?
Answers:
A) 338
B) 823
C) 833
D) 337
E) 733 | <gadget id="calculator">1_000 * 15</gadget>
<output>15_000</output>
<gadget id="calculator">15_000 / 100</gadget>
<output>150</output>
<gadget id="calculator">2 * 1_000</gadget>
<output>2_000</output>
<gadget id="calculator">2_000 / 100</gadget>
<output>20</output>
<gadget id="calculator">150 + 20</gadget>
<output>170</output>
<gadget id="calculator">1_000 - 170</gadget>
<output>830</output>
<result>C</result> | C | 833 | The sale price shirts listed for Rs.1000 after successive discount is 15% and 2% is? | {
"A": "338",
"B": "823",
"C": "833",
"D": "337",
"E": "733"
} | subtract(1000, add(divide(multiply(1000, 15), const_100), divide(multiply(2, 1000), const_100))) | multiply(n0,n1)|multiply(n0,n2)|divide(#0,const_100)|divide(#1,const_100)|add(#2,#3)|subtract(n0,#4)| | "1000 * ( 85 / 100 ) * ( 98 / 100 ) = 833 answer : c" | gain |
math_qa__EEEBZggN8apnZkuz | Exactly 5% of the reporters for a certain wire service cover local politics in Country X. If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics? Choose the correct choice from the following.
A) 20 %
B) 42 %
C) 44 %
D) 92 %
E) 90 % | <gadget id="calculator">100 - 30</gadget>
<output>70</output>
<gadget id="calculator">5 / 70</gadget>
<output>1/14 = around 0.071429</output>
<gadget id="calculator">1 - (1/14)</gadget>
<output>13/14 = around 0.928571</output>
<gadget id="calculator">(13/14) * 100</gadget>
<output>650/7 = around 92.857143</output>
<result>D</result> | D | 92 | Exactly 5% of the reporters for a certain wire service cover local politics in Country X. If 30% of the reporters who cover politics for the wire service do not cover local politics in Country X, what percent of the reporters for the wire service do not cover politics? | {
"A": "20 %",
"B": "42 %",
"C": "44 %",
"D": "92 %",
"E": "90 %"
} | multiply(subtract(const_1, divide(5, subtract(const_100, 30))), const_100) | subtract(const_100,n1)|divide(n0,#0)|subtract(const_1,#1)|multiply(#2,const_100)| | "you are correct . people who cover local politics are a subset of people who cover politics . 30 % of reporters who cover politics do not cover local politics so 70 % do cover local politics . reporters covering local politics = 70 % of reporters covering politics = 5 % of all reporters reporters covering politics / all reporters = 5 / 70 = 1 / 14 reporters not covering politics / all reporters = 13 / 14 = 92 % = d" | gain |
math_qa__0U4LrtiIZALbHERx | Kanul spent $35000 in buying raw materials, $40000 in buying machinery and 20% of the total amount he had as cash with him. What was the total amount? Choose the most appropriate option.
A) $ 87952 B) $ 93750 C) $ 89542 D) $ 95820 E) $ 84256 | <gadget id="calculator">35_000 + 40_000</gadget>
<output>75_000</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">75_000 / (4/5)</gadget>
<output>93_750</output>
<result>B</result> | B | 93,750 | Kanul spent $35000 in buying raw materials, $40000 in buying machinery and 20% of the total amount he had as cash with him. What was the total amount? | {
"A": "$ 87952",
"B": "$ 93750",
"C": "$ 89542",
"D": "$ 95820",
"E": "$ 84256"
} | divide(add(35000, 40000), subtract(const_1, divide(20, const_100))) | add(n0,n1)|divide(n2,const_100)|subtract(const_1,#1)|divide(#0,#2)| | "let the total amount be x then , ( 100 - 20 ) % of x = 35000 + 40000 80 % of x = 75000 80 x / 100 = 75000 x = $ 93750 answer is b" | gain |
math_qa__yFG38ZIJjjY9PNjR | The total age of A and B is 18 years more than the total age of B and C. C is how many years younger than A.? Choose the correct choice from the following options: A) 16 B) 12 C) 15 D) 18 E) 10 | <gadget id="calculator">18 * 1</gadget>
<output>18</output>
<result>D</result> | D | 18 | The total age of A and B is 18 years more than the total age of B and C. C is how many years younger than A.? | {
"A": "16",
"B": "12",
"C": "15",
"D": "18",
"E": "10"
} | multiply(18, const_1) | multiply(n0,const_1)| | "( a + b ) - ( b - c ) = 18 a - c = 18 answer is d" | general |
math_qa__qGgS1cmoU61WJaXB | Tom drives from town W to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between W and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour? Choices:
A) 12 B) 20 C) 24 D) 30 E) 36 | <gadget id="calculator">3 / 36</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">2 / 60</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">(1/12) - (1/30)</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 / (1/20)</gadget>
<output>20</output>
<result>B</result> | B | 20 | Tom drives from town W to town B, driving at a constant speed of 60 miles per hour. From town B Tom immediately continues to town C. The distance between W and B is twice the distance between B and C. If the average speed of the whole journey was 36 mph, then what is Tom's speed driving from B to C in miles per hour? | {
"A": "12",
"B": "20",
"C": "24",
"D": "30",
"E": "36"
} | inverse(subtract(divide(const_3, 36), divide(const_2, 60))) | divide(const_3,n1)|divide(const_2,n0)|subtract(#0,#1)|inverse(#2) | let ' s assume that it takes 4 hours to go from point w to b . then the distance between them becomes 240 which makes distance between b and c 120 . ( 240 + 120 ) / ( 4 + x ) gives us the average speed which is 36 . you find x = 6 . so the question simplifies itself to 120 / 6 = 20 hence the answer is b . | physics |
math_qa__XNA5NxZCcWL2vKpT | If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 65 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly? Choose the correct choice from the following:
A) 60 % B) 55 % C) 70 % D) 75 % E) 80 % | <gadget id="calculator">85 + 65</gadget>
<output>150</output>
<gadget id="calculator">150 + 5</gadget>
<output>155</output>
<gadget id="calculator">155 - 100</gadget>
<output>55</output>
<result>B</result> | B | 55 | If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 65 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly? | {
"A": "60 %",
"B": "55 %",
"C": "70 %",
"D": "75 %",
"E": "80 %"
} | subtract(add(add(85, 65), 5), const_100) | add(n0,n1)|add(n2,#0)|subtract(#1,const_100)| | "{ total } = { first correctly } + { second correctly } - { both correctly } + { neither correctly } 100 = 85 + 65 - { both correctly } + 5 { both correctly } = 55 . answer : b ." | other |
math_qa__Jlh1SdqByvBXYcjm | What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 5%?
Choose one.
A) 20 % B) 29 % C) 10 % D) 80 % E) 42.5 % | <gadget id="calculator">100 - 5</gadget>
<output>95</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">95 / (2/3)</gadget>
<output>285/2 = around 142.5</output>
<gadget id="calculator">(285/2) - 100</gadget>
<output>85/2 = around 42.5</output>
<result>E</result> | E | 42.5 | What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 5%? | {
"A": "20 %",
"B": "29 %",
"C": "10 %",
"D": "80 %",
"E": "42.5 %"
} | subtract(divide(subtract(const_100, 5), divide(2, 3)), const_100) | divide(n0,n1)|subtract(const_100,n2)|divide(#1,#0)|subtract(#2,const_100)| | "sp 2 = 2 / 3 sp 1 cp = 100 sp 2 = 95 2 / 3 sp 1 = 95 sp 1 = 142.5 100 - - - 42.5 = > 42.5 % answer : e" | gain |
math_qa__2d4aDhRS68fs68wb | A jewelry store purchased a pair of earrings for $240 and was selling it at a price that equaled the purchase price of the earrings plus a markup that was 25 percent of the selling price. After some time a jewelry store owner decided to decrease the selling price by 20 percent. What was the jewelry store's gross profit on this sale? Options:
A) $ 14
B) $ 2
C) $ 10
D) $ 16
E) $ 18 | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 240</gadget>
<output>60</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">60 / (3/4)</gadget>
<output>80</output>
<gadget id="calculator">240 + 80</gadget>
<output>320</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">320 * (4/5)</gadget>
<output>256</output>
<gadget id="calculator">256 - 240</gadget>
<output>16</output>
<result>D</result> | D | 16 | A jewelry store purchased a pair of earrings for $240 and was selling it at a price that equaled the purchase price of the earrings plus a markup that was 25 percent of the selling price. After some time a jewelry store owner decided to decrease the selling price by 20 percent. What was the jewelry store's gross profit on this sale? | {
"A": "$ 14",
"B": "$ 2",
"C": "$ 10",
"D": "$ 16",
"E": "$ 18"
} | subtract(multiply(add(240, divide(multiply(divide(25, const_100), 240), subtract(const_1, divide(25, const_100)))), subtract(const_1, divide(20, const_100))), 240) | divide(n1,const_100)|divide(n2,const_100)|multiply(n0,#0)|subtract(const_1,#0)|subtract(const_1,#1)|divide(#2,#3)|add(n0,#5)|multiply(#6,#4)|subtract(#7,n0) | sale price ( sp ) = 240 + markup ( mp ) - - > mp = sp - 240 and given mp = sp / 4 ( 25 % is 1 / 4 th ) so sp / 4 = sp - 240 3 sp / 4 = 240 sp = 320 now a discount of 20 % is given so new sp is . 8 * 320 = 256 profit = 256 - 240 = 16 answer is d | general |
math_qa__XTtpG5zju31YlOud | If 1/4 of the passengers on a ship are from North America, 1/8 are Europeans, 1/12 are from Africa, 1/6 are from Asia and the remaining 36 people are citizens of other continents, then how many passengers are on board the ship? Pick one:
A) 92 B) 96 C) 100 D) 104 E) 108 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/4) + (1/8)</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(3/8) + (1/12)</gadget>
<output>11/24 = around 0.458333</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(11/24) + (1/6)</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">1 - (5/8)</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">36 / (3/8)</gadget>
<output>96</output>
<result>B</result> | B | 96 | If 1/4 of the passengers on a ship are from North America, 1/8 are Europeans, 1/12 are from Africa, 1/6 are from Asia and the remaining 36 people are citizens of other continents, then how many passengers are on board the ship? | {
"A": "92",
"B": "96",
"C": "100",
"D": "104",
"E": "108"
} | divide(36, subtract(1, add(add(add(divide(1, 4), divide(1, 8)), divide(1, 12)), divide(1, 6)))) | divide(n0,n1)|divide(n0,n3)|divide(n0,n5)|divide(n0,n7)|add(#0,#1)|add(#4,#2)|add(#5,#3)|subtract(n0,#6)|divide(n8,#7)| | "1 / 4 + 1 / 8 + 1 / 12 + 1 / 6 = ( 6 + 3 + 2 + 4 ) / 24 = 15 / 24 let x be the number of passengers on the ship . 36 = ( 9 / 24 ) x = 3 x / 8 x = 96 the answer is b ." | general |
math_qa__eQusz3sksoZs3ZdP | A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race? Choose one.
A) 37.9
B) 37.2
C) 37.1
D) 37.82
E) 37.8 | <gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">100 / 5</gadget>
<output>20</output>
<gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">100 / 8</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">80 - (25/2)</gadget>
<output>135/2 = around 67.5</output>
<gadget id="calculator">(135/2) / (25/2)</gadget>
<output>27/5 = around 5.4</output>
<gadget id="calculator">7 * (27/5)</gadget>
<output>189/5 = around 37.8</output>
<result>E</result> | E | 37.8 | A hare and a tortoise have a race along a circle of 100 yards diameter. The tortoise goes in one direction and the hare in the other. The hare starts after the tortoise has covered 1/5 of its distance and that too leisurely. The hare and tortoise meet when the hare has covered only 1/8 of the distance. By what factor should the hare increase its speed so as to tie the race? | {
"A": "37.9",
"B": "37.2",
"C": "37.1",
"D": "37.82",
"E": "37.8"
} | multiply(subtract(8, 1), divide(subtract(subtract(100, divide(100, 5)), divide(100, 8)), divide(100, 8))) | divide(n0,n2)|divide(n0,n4)|subtract(n4,n1)|subtract(n0,#0)|subtract(#3,#1)|divide(#4,#1)|multiply(#5,#2) | assume the circumference of the circle is 200 meters . hare and tortoise started at the same point but moves in the opposite direction . it is given that by that time tortoise covered 40 m ( 1 / 5 th of the distance ) , hare started and both met after hare has covered 25 . this implies , in the time hare has covered 25 m , hare has covered 200 - 40 - 25 = 135 meters . so hare : tortoise speeds = 25 : 135 = 5 : 27 now hare and tortoise has to reach the starting point means , hare has to cover 175 meters and tortoise has to cover only 25 meters in the same time . as time = distancespeed = 2527 = 1755 × kdistancespeed = 2527 = 1755 × k ie . , hare has to increase its speed by a factor k . solving we get k = 37.8 answer : e | physics |
math_qa__Xy0sa7EzxnN7p22L | A certain rectangular crate measures 20 feet by 20 feet by 20 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume?
Choose the correct choice from the following options.
A) 4
B) 5
C) 6
D) 8
E) 10 | <gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">pi * (10 ** 2) * 20</gadget>
<output>2000*pi = around 6_283.185307</output>
<gadget id="calculator">pi * 20</gadget>
<output>20*pi = around 62.831853</output>
<gadget id="calculator">(2000*pi) / (20*pi)</gadget>
<output>100</output>
<gadget id="calculator">100 ** (1/2)</gadget>
<output>10</output>
<result>E</result> | E | 10 | A certain rectangular crate measures 20 feet by 20 feet by 20 feet. A cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces. What should the radius of the tank be if it is to be of the largest possible volume? | {
"A": "4",
"B": "5",
"C": "6",
"D": "8",
"E": "10"
} | sqrt(divide(volume_cylinder(divide(20, const_2), 20), multiply(const_pi, 20))) | divide(n1,const_2)|multiply(n0,const_pi)|volume_cylinder(#0,n0)|divide(#2,#1)|sqrt(#3)| | "for max volume of cylinder ( pi * r ^ 2 * h ) we need to max out r ^ 2 * h . we do n ' t know what the dimensions of the crate refer to . . therefore for max vol base should be 20 x 20 i . e . of radius 20 / 2 = 10 e" | geometry |
math_qa__M6WFPeW0661xnz3y | Jack got paid today for his part-time job as a juggler, and noticed that 20% of his paycheck went to taxes. Jack wants to spend 80% of what's left on a new bike, and put the rest into savings. If Jack puts $20 into savings, how much was his original paycheck before taxes? Choose the most appropriate option: A) $ 125 B) $ 135 C) $ 145 D) $ 155 E) $ 165 | <gadget id="calculator">100 - 80</gadget>
<output>20</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">20 / (1/5)</gadget>
<output>100</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">100 / (4/5)</gadget>
<output>125</output>
<result>A</result> | A | 125 | Jack got paid today for his part-time job as a juggler, and noticed that 20% of his paycheck went to taxes. Jack wants to spend 80% of what's left on a new bike, and put the rest into savings. If Jack puts $20 into savings, how much was his original paycheck before taxes? | {
"A": "$ 125",
"B": "$ 135",
"C": "$ 145",
"D": "$ 155",
"E": "$ 165"
} | divide(divide(20, divide(subtract(const_100, 80), const_100)), divide(80, const_100)) | divide(n1,const_100)|subtract(const_100,n1)|divide(#1,const_100)|divide(n0,#2)|divide(#3,#0) | let p be jack ' s original paycheck value . the value after taxes t is given by t = p - 20 % p let s be the amount put into savings , given by s = t - 80 % t for s = $ 20 , solve for p $ 20 = ( p - 20 % p ) - 80 % ( p - 20 % p ) p = $ 125 correct answer a | general |
math_qa__McDVVKg8ww7AMYl6 | 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 W that you can still row the canoe? Pick
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 W 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 w : 1 – 4 / 25 = 21 / 25 . answer choice e ." | general |
math_qa__M9SB4zIGLcopaJL3 | If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is? Options:
A) 135 m B) 125 m C) 129 m D) 120 m E) 165 m | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">90 * (5/18)</gadget>
<output>25</output>
<gadget id="calculator">25 * 5</gadget>
<output>125</output>
<result>B</result> | B | 125 | If a train, travelling at a speed of 90 kmph, crosses a pole in 5 sec, then the length of train is? | {
"A": "135 m",
"B": "125 m",
"C": "129 m",
"D": "120 m",
"E": "165 m"
} | multiply(multiply(90, const_0_2778), 5) | multiply(n0,const_0_2778)|multiply(n1,#0)| | "explanation : d = 90 * 5 / 18 * 5 = 125 m answer : option b" | physics |
math_qa__yrusI6UmqPxqnPwb | Karthik read 7/13 th of a book in 1st week and 5/9 th of the remaining book in 2nd week. If there were 96 pages unread after 2nd week, how many pages were there in the book ? Choose the correct answer:
A) 518 B) 452 C) 468 D) 502 E) 396 | <gadget id="calculator">5 / 9</gadget>
<output>5/9 = around 0.555556</output>
<gadget id="calculator">1 - (5/9)</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">96 / (4/9)</gadget>
<output>216</output>
<gadget id="calculator">216 * 13</gadget>
<output>2_808</output>
<gadget id="calculator">7 - 1</gadget>
<output>6</output>
<gadget id="calculator">2_808 / 6</gadget>
<output>468</output>
<result>C</result> | C | 468 | Karthik read 7/13 th of a book in 1st week and 5/9 th of the remaining book in 2nd week. If there were 96 pages unread after 2nd week, how many pages were there in the book ? | {
"A": "518",
"B": "452",
"C": "468",
"D": "502",
"E": "396"
} | divide(multiply(divide(96, subtract(1, divide(5, 9))), 13), subtract(7, 1)) | divide(n3,n4)|subtract(n0,n2)|subtract(n2,#0)|divide(n6,#2)|multiply(n1,#3)|divide(#4,#1) | solution 96 pages were unread so on second week have 5 / 9 so unread pages = 1 - 5 / 9 = 4 / 9 96 * 9 / 4 = 216 then , on first week unread pages were 216 total pages = 216 * 13 / 6 = 468 so answer is c | general |
math_qa__QwTZPqskFpzgiOPX | Find the quotient: 0.0204 / 17 Choose the correct choice from the following answers:
A) 0.012 B) 0.12 C) 0.0012 D) 0.00012 E) none of them | <gadget id="calculator">0.0204 / 17</gadget>
<output>0.0012</output>
<result>C</result> | C | 0.0012 | Find the quotient: 0.0204 / 17 | {
"A": "0.012",
"B": "0.12",
"C": "0.0012",
"D": "0.00012",
"E": "none of them"
} | divide(0.0204, 17) | divide(n0,n1) | 204 / 17 = 12 . dividend contains 4 places of decimal . 0.2040 / 17 = 0.0012 . answer is c . | general |
math_qa__rf8KLwBAsi9J1bOZ | The consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 50 kmph its consumption is 1 litre per hour. if each litre costs $30 and other expenses per hous is $ 20, then what would be the minimum expenditure required to cover a distance of 400 Km? Select:
A) 300 B) 400 C) 250 D) 350 E) 450 | <gadget id="calculator">400 / 50</gadget>
<output>8</output>
<gadget id="calculator">8 * 30</gadget>
<output>240</output>
<gadget id="calculator">8 * 20</gadget>
<output>160</output>
<gadget id="calculator">240 + 160</gadget>
<output>400</output>
<result>B</result> | B | 400 | The consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 50 kmph its consumption is 1 litre per hour. if each litre costs $30 and other expenses per hous is $ 20, then what would be the minimum expenditure required to cover a distance of 400 Km? | {
"A": "300",
"B": "400",
"C": "250",
"D": "350",
"E": "450"
} | add(multiply(divide(400, 50), 30), multiply(divide(400, 50), 20)) | divide(n4,n0)|multiply(n2,#0)|multiply(n3,#0)|add(#1,#2)| | "50 kmph consumption is 1 lt / hr so 400 km will take 8 hrs and the consumption is 8 lt for entire distance . 1 lt costs $ 30 so 8 lt costs $ 240 extra expenses for 1 hr - $ 20 8 hrs - $ 160 total expense - $ 240 + $ 160 = $ 400 answer : b" | physics |
math_qa__LQfU5Lep0z8OKkyq | A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is: Choose the correct option: A) 57 B) 67 C) 77 D) 87 E) 97 | <gadget id="calculator">59.29 * 100</gadget>
<output>5_929</output>
<gadget id="calculator">5_929 ** (1/2)</gadget>
<output>77</output>
<result>C</result> | C | 77 | A group of students decided to collect as many paise from each member of group as is the number of members. If the total collection amounts to Rs. 59.29, the number of the member is the group is: | {
"A": "57",
"B": "67",
"C": "77",
"D": "87",
"E": "97"
} | sqrt(multiply(59.29, const_100)) | multiply(n0,const_100)|sqrt(#0)| | "money collected = ( 59.29 x 100 ) paise = 5929 paise . number of members = 5929 = 77 . answer : c" | general |
math_qa__y9flueKSKqZHey5V | If A^2 + B^2 = 30 and AB = 10, what is the value of the expression (A - B)^2 + (A + B)^2? Pick one:
A) 10 B) 20 C) 30 D) 60 E) 70 | <gadget id="calculator">30 ** (1/2)</gadget>
<output>sqrt(30) = around 5.477226</output>
<gadget id="calculator">(sqrt(30)) * 10</gadget>
<output>10*sqrt(30) = around 54.772256</output>
<gadget id="calculator">(10*sqrt(30)) + 3</gadget>
<output>3 + 10*sqrt(30) = around 57.772256</output>
<result>D</result> | D | 60 | If A^2 + B^2 = 30 and AB = 10, what is the value of the expression (A - B)^2 + (A + B)^2? | {
"A": "10",
"B": "20",
"C": "30",
"D": "60",
"E": "70"
} | add(multiply(sqrt(30), const_10), const_3) | sqrt(n2)|multiply(#0,const_10)|add(#1,const_3)| | "( a - b ) ^ 2 = a ^ 2 + b ^ 2 - 2 ab = 30 - 20 = 10 ( a + b ) ^ 2 = a ^ 2 + b ^ 2 + 2 ab = 30 + 20 = 50 so ( a + b ) ^ 2 + ( a - b ) ^ 2 = 50 + 10 = 60 d" | general |
math_qa__Vqz4R2NLEutuNYUB | A can do a work in 30 days, B can do it in 20 days. They together under took to do a piece of work for Rs.1000, what is the share of B? Choose the most appropriate option:
A) rs . 500 B) rs . 400 C) rs . 800 D) rs . 600 E) rs . 200 | <gadget id="calculator">30 * 20</gadget>
<output>600</output>
<result>D</result> | D | 600 | A can do a work in 30 days, B can do it in 20 days. They together under took to do a piece of work for Rs.1000, what is the share of B? | {
"A": "rs . 500",
"B": "rs . 400",
"C": "rs . 800",
"D": "rs . 600",
"E": "rs . 200"
} | multiply(30, 20) | multiply(n0,n1) | explanation : share of their work days = 30 : 20 share of their work = 20 : 30 share of b ’ s money = 3 / 5 * 1000 = 600 answer : option d | physics |
math_qa__vHHt0tGm07YdsoW4 | 3x^2-6x+3 = 0 Find the above equation find the value of x Choose the correct option.
A) 0 B) 1 C) 2 D) 4 E) 6 | <gadget id="calculator">6 / 3</gadget>
<output>2</output>
<gadget id="calculator">2 / 2</gadget>
<output>1</output>
<result>B</result> | B | 1 | 3x^2-6x+3 = 0 Find the above equation find the value of x | {
"A": "0",
"B": "1",
"C": "2",
"D": "4",
"E": "6"
} | divide(divide(6, const_3), const_2) | divide(n2,const_3)|divide(#0,const_2) | a = 3 , b = - 6 , c = 3 x 1,2 = ( 6 ± √ ( ( - 6 ) 2 - 4 × 3 × 3 ) ) / ( 2 × 3 ) = ( 6 ± √ ( 36 - 36 ) ) / 6 = ( 6 ± 0 ) / 6 x 1 = x 2 = 1 b | general |
math_qa__bTCTLMBBiwoEwPk5 | The income of a broker remains unchanged though the rate of commission is increased from 4% to 5%. The percentage of slump in business is :
Choose the correct choice from the following choices
A) 8 % B) 1 % C) 20 % D) 80 % E) none | <gadget id="calculator">4 / 100</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/25) / (1/20)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 - (4/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 100</gadget>
<output>20</output>
<result>C</result> | C | 20 | The income of a broker remains unchanged though the rate of commission is increased from 4% to 5%. The percentage of slump in business is : | {
"A": "8 %",
"B": "1 %",
"C": "20 %",
"D": "80 %",
"E": "none"
} | multiply(subtract(const_1, divide(divide(4, const_100), divide(5, const_100))), const_100) | divide(n0,const_100)|divide(n1,const_100)|divide(#0,#1)|subtract(const_1,#2)|multiply(#3,const_100)| | "explanation : let the business value changes from x to y . then , 4 % of x = 5 % of y or 4 / 100 × x = 5 / 100 × y or y = 4 / 5 x change in business = ( x − 4 / 5 x ) = 1 / 5 x percentage slump in business = ( 1 / 5 x × 1 / x × 100 ) % correct option : c" | gain |
math_qa__Nwa3D1Qtns1Xno7X | How many gallons of milk that is 10 percent butter-fat must be added to 8 gallons of milk that is 45 percent butterfat to obtain milk that is 20 percent butterfat?
Pick one: A) 6 B) 12 C) 14 D) 16 E) 20 | <gadget id="calculator">45 - 20</gadget>
<output>25</output>
<gadget id="calculator">25 * 8</gadget>
<output>200</output>
<gadget id="calculator">200 / 10</gadget>
<output>20</output>
<result>E</result> | E | 20 | How many gallons of milk that is 10 percent butter-fat must be added to 8 gallons of milk that is 45 percent butterfat to obtain milk that is 20 percent butterfat? | {
"A": "6",
"B": "12",
"C": "14",
"D": "16",
"E": "20"
} | divide(multiply(subtract(45, 20), 8), 10) | subtract(n2,n3)|multiply(n1,#0)|divide(#1,n0) | equate the fat : 0.1 x + 0.45 * 8 = 0.2 ( x + 8 ) - - > x = 20 . answer : e . | general |
math_qa__OFahUjMQP5VVbPDJ | If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle. Choose the correct answer.
A) 40 cm B) 45 cm C) 50 cm D) 52 cm E) 57 cm | <gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">7 * 3</gadget>
<output>21</output>
<gadget id="calculator">4 * 3</gadget>
<output>12</output>
<gadget id="calculator">21 - 12</gadget>
<output>9</output>
<gadget id="calculator">9 + 7</gadget>
<output>16</output>
<gadget id="calculator">9 + 16</gadget>
<output>25</output>
<gadget id="calculator">25 * 2</gadget>
<output>50</output>
<result>C</result> | C | 50 | If the length of a certain rectangle is decreased by 4 cm and the width is increased by 3 cm, a square with the same area as the original rectangle would result. Find the perimeter of the original rectangle. | {
"A": "40 cm",
"B": "45 cm",
"C": "50 cm",
"D": "52 cm",
"E": "57 cm"
} | multiply(add(subtract(multiply(add(3, 4), 3), multiply(4, 3)), add(subtract(multiply(add(3, 4), 3), multiply(4, 3)), add(3, 4))), const_2) | add(n0,n1)|multiply(n0,n1)|multiply(n1,#0)|subtract(#2,#1)|add(#0,#3)|add(#4,#3)|multiply(#5,const_2) | explanation : let x and y be the length and breadth of the rectangle respectively . then , x - 4 = y + 3 or x - y = 7 - - - - ( 1 ) area of the rectangle = xy ; area of the square = ( x - 4 ) ( y + 3 ) ( x - 4 ) ( y + 3 ) = xy < = > 3 x - 4 y = 12 - - - - ( 2 ) solving 1 & 2 , we get x = 16 and y = 9 . perimeter of the rectangle = 2 ( x + y ) = [ 2 ( 16 + 9 ) ] cm = 50 cm . answer : option c | geometry |
math_qa__lok2HgoR65gf1qco | A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ? Select.
A) 0.75 d B) 0.76 d C) 0.765 d D) 0.775 d E) 0.805 d | <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">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(17/20) * (1/10)</gadget>
<output>17/200 = around 0.085</output>
<gadget id="calculator">(17/20) - (17/200)</gadget>
<output>153/200 = around 0.765</output>
<result>C</result> | C | 0.765 | A dress on sale in a shop is marked at $D. During the discount sale its price is reduced by 15%. Staff are allowed a further 10% reduction on the discounted price. If a staff member buys the dress what will she have to pay in terms of D ? | {
"A": "0.75 d",
"B": "0.76 d",
"C": "0.765 d",
"D": "0.775 d",
"E": "0.805 d"
} | subtract(divide(subtract(const_100, 15), const_100), multiply(divide(subtract(const_100, 15), const_100), divide(10, const_100))) | divide(n1,const_100)|subtract(const_100,n0)|divide(#1,const_100)|multiply(#2,#0)|subtract(#2,#3)| | "successive doscounts = - a - b + ab / 100 putting the values , total discount = - 15 - 10 + 150 / 100 = - 25 + 1.5 = 23.5 % discount hence the final price of the dress = d - 0.235 d = 0.765 d correct option : c" | gain |
math_qa__a4GNkBKM6LT3gP7U | In a simultaneous throw of a pair of dice, find the probability of getting a total more than 11 Choose the correct option: A) 11 / 25 B) 7 / 12 C) 5 / 13 D) 5 / 12 E) 6 / 17 | <gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">11 - 6</gadget>
<output>5</output>
<gadget id="calculator">5 / 11</gadget>
<output>5/11 = around 0.454545</output>
<result>A</result> | A | 0.44 | In a simultaneous throw of a pair of dice, find the probability of getting a total more than 11 | {
"A": "11 / 25",
"B": "7 / 12",
"C": "5 / 13",
"D": "5 / 12",
"E": "6 / 17"
} | divide(subtract(11, multiply(const_2, const_3)), 11) | multiply(const_2,const_3)|subtract(n0,#0)|divide(#1,n0) | total number of cases = 10 * 10 = 100 favourable cases = [ ( 2,10 ) , ( 3,9 ) , ( 3,10 ) , ( 4,8 ) , ( 4,9 ) , ( 4,10 ) , ( 5,7 ) , ( 5,8 ) , ( 5,9 ) , ( 5,10 ) , ( 6,6 ) , ( 6,7 ) , ( 6,8 ) , ( 6,9 ) , ( 6,10 ) , ( 7,5 ) , ( 7,6 ) , ( 7,7 ) , ( 7,8 ) , ( 7,9 ) , ( 7,10 ) , ( 8,4 ) , ( 8,5 ) , ( 8,6 ) , ( 8,7 ) , ( 8,8 ) , ( 8,9 ) , ( 8,10 ) , ( 9,3 ) , ( 9,4 ) , ( 9,5 ) , ( 9,6 ) , ( 9,7 ) , ( 9,8 ) , ( 9,10 ) , ( 10,2 ) , ( 10,3 ) , ( 10,4 ) , ( 10,5 ) , ( 10,6 ) , ( 10,7 ) , ( 10,8 ) , ( 10,9 ) , ( 10,10 ) ] = 44 so probability = 44 / 100 = 11 / 25 answer is a | general |
math_qa__3YPF491MazI8KXLe | Sandy had $210 left after spending 30% of the money she took for shopping. How much money did Sandy take along with her?
Choose the correct choice from the following choices:
A) $ 240 B) $ 300 C) $ 360 D) $ 420 E) $ 480 | <gadget id="calculator">100 - 30</gadget>
<output>70</output>
<gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">210 / (7/10)</gadget>
<output>300</output>
<result>B</result> | B | 300 | Sandy had $210 left after spending 30% of the money she took for shopping. How much money did Sandy take along with her? | {
"A": "$ 240",
"B": "$ 300",
"C": "$ 360",
"D": "$ 420",
"E": "$ 480"
} | divide(210, divide(subtract(const_100, 30), const_100)) | subtract(const_100,n1)|divide(#0,const_100)|divide(n0,#1)| | "let the money sandy took for shopping be x . 0.7 x = 210 x = 300 the answer is b ." | gain |
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