id stringlengths 25 25 | question stringlengths 45 1.01k | chain stringlengths 75 4.11k | result stringclasses 5 values | result_float float64 -4,212 100B | question_without_options stringlengths 6 962 | options dict | annotated_formula stringlengths 7 6.48k | linear_formula stringlengths 8 925 | rationale stringlengths 1 2.74k | category stringclasses 6 values |
|---|---|---|---|---|---|---|---|---|---|---|
math_qa__DsUFPzNHuiKNRTy7 | If the price of petrol increases by 25, by how much must a user cut down his consumption so that his expenditure on petrol remains constant? Choose the correct choice from the following options.
A) 25 %
B) 20 %
C) 16.67 %
D) 33.33 %
E) none of these | <gadget id="calculator">100 + 25</gadget>
<output>125</output>
<gadget id="calculator">100 / 125</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>B</result> | B | 20 | If the price of petrol increases by 25, by how much must a user cut down his consumption so that his expenditure on petrol remains constant? | {
"A": "25 %",
"B": "20 %",
"C": "16.67 %",
"D": "33.33 %",
"E": "none of these"
} | multiply(subtract(const_1, divide(const_100, add(const_100, 25))), const_100) | add(n0,const_100)|divide(const_100,#0)|subtract(const_1,#1)|multiply(#2,const_100)| | "explanation : let us assume before increase the petrol will be rs . 100 . after increase it will be rs ( 100 + 25 ) i . e 125 . now , his consumption should be reduced to : - = 125 − 100125 ∗ 100 . hence , the consumption should be reduced to 20 % . answer : b" | general |
math_qa__2YpA9hlnOH9h6LNi | There are 10 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played? Choose the correct answer.
A) 10 B) 30 C) 45 D) 60 E) 90 | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">10 * 9</gadget>
<output>90</output>
<gadget id="calculator">90 / 2</gadget>
<output>45</output>
<result>C</result> | C | 45 | There are 10 players in a chess group, and each player plays each of the others once. Given that each game is played by two players, how many total games will be played? | {
"A": "10",
"B": "30",
"C": "45",
"D": "60",
"E": "90"
} | divide(multiply(10, subtract(10, const_1)), const_2) | subtract(n0,const_1)|multiply(n0,#0)|divide(#1,const_2)| | "10 players are there . two players play one game with one another . so 10 c 2 = 10 * 9 / 2 = 45 so option c is correct" | general |
math_qa__wBkadEcN20DReeln | By selling 24 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? Choose the correct choice from the following answers.
A) 8 B) 9 C) 16 D) 6 E) 4 | <gadget id="calculator">100 + 20</gadget>
<output>120</output>
<gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">1 / 80</gadget>
<output>1/80 = around 0.0125</output>
<gadget id="calculator">120 * (1/80)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">1 / (3/2)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(2/3) * 24</gadget>
<output>16</output>
<result>C</result> | C | 16 | By selling 24 pencils for a rupee a man loses 20%. How many for a rupee should he sell in order to gain 20%? | {
"A": "8",
"B": "9",
"C": "16",
"D": "6",
"E": "4"
} | multiply(divide(const_1, multiply(add(const_100, 20), divide(const_1, subtract(const_100, 20)))), 24) | add(n2,const_100)|subtract(const_100,n1)|divide(const_1,#1)|multiply(#0,#2)|divide(const_1,#3)|multiply(n0,#4)| | "80 % - - - 24 120 % - - - ? 80 / 120 * 24 = 16 answer : c" | gain |
math_qa__HsFahYt5lRjlueTw | Ramesh purchased a refrigerator for Rs. 13500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered? Choose the most appropriate option: A) 34778 B) 26888 C) 2899 D) 18975 E) 12778 | <gadget id="calculator">100 + 10</gadget>
<output>110</output>
<gadget id="calculator">13_500 * 100</gadget>
<output>1_350_000</output>
<gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">1_350_000 / 80</gadget>
<output>16_875</output>
<gadget id="calculator">125 + 250</gadget>
<output>375</output>
<gadget id="calculator">16_875 + 375</gadget>
<output>17_250</output>
<gadget id="calculator">110 * 17_250</gadget>
<output>1_897_500</output>
<gadget id="calculator">1_897_500 / 100</gadget>
<output>18_975</output>
<result>D</result> | D | 18,975 | Ramesh purchased a refrigerator for Rs. 13500 after getting a discount of 20% on the labelled price. He spent Rs. 125 on transport and Rs. 250 on installation. At what price should it be sold so that the profit earned would be 10% if no discount was offered? | {
"A": "34778",
"B": "26888",
"C": "2899",
"D": "18975",
"E": "12778"
} | divide(multiply(add(const_100, 10), add(divide(multiply(13500, const_100), subtract(const_100, 20)), add(125, 250))), const_100) | add(n4,const_100)|add(n2,n3)|multiply(n0,const_100)|subtract(const_100,n1)|divide(#2,#3)|add(#1,#4)|multiply(#0,#5)|divide(#6,const_100)| | "price at which the tv set is bought = rs . 13,500 discount offered = 20 % marked price = 13500 * 100 / 80 = rs . 16875 the total amount spent on transport and installation = 125 + 250 = rs . 375 \ total price of tv set = 15625 + 375 = rs . 16000 the price at which the tv should be sold to get a profit of 10 % if no discount was offered = 17250 * 110 / 100 = rs . 18975 answer : d" | gain |
math_qa__TManTJ5M14XBUwdA | Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 15 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone? Choose the correct choice from the following answers
A) 4 B) 5 C) 6 D) 12 E) none of these | <gadget id="calculator">9 / 15</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 15</gadget>
<output>6</output>
<result>C</result> | C | 6 | Suresh can complete a job in 15 hours. Ashutosh alone can complete the same job in 15 hours. Suresh works for 9 hours and then the remaining job is completed by Ashutosh. How many hours will it take Ashutosh to complete the remaining job alone? | {
"A": "4",
"B": "5",
"C": "6",
"D": "12",
"E": "none of these"
} | multiply(subtract(const_1, divide(9, 15)), 15) | divide(n2,n0)|subtract(const_1,#0)|multiply(n1,#1)| | "the part of job that suresh completes in 9 hours = 9 â „ 15 = 3 â „ 5 remaining job = 1 - 3 â „ 5 = 2 â „ 5 remaining job can be done by ashutosh in 2 â „ 5 ã — 15 = 6 hours answer c" | physics |
math_qa__qn3sSb0U72UwkCPW | Noelle walks from point A to point B at an average speed of 4 kilometers per hour. At what speed, in kilometers per hour, must Noelle walk from point B to point A so that her average speed for the entire trip is 6 kilometers per hour? Pick: A) 6.75 B) 7 C) 8 D) 12 E) 14 | <gadget id="calculator">6 * 4</gadget>
<output>24</output>
<gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">8 - 6</gadget>
<output>2</output>
<gadget id="calculator">24 / 2</gadget>
<output>12</output>
<result>D</result> | D | 12 | Noelle walks from point A to point B at an average speed of 4 kilometers per hour. At what speed, in kilometers per hour, must Noelle walk from point B to point A so that her average speed for the entire trip is 6 kilometers per hour? | {
"A": "6.75",
"B": "7",
"C": "8",
"D": "12",
"E": "14"
} | divide(multiply(6, 4), subtract(multiply(const_2, 4), 6)) | multiply(n0,n1)|multiply(n0,const_2)|subtract(#1,n1)|divide(#0,#2)| | "let ' s suppose that speed while returning was xkm / h since the distance is same , we can apply the formula of avg speed avg speed = 2 s 1 s 2 / s 1 + s 2 6 = 2 * 4 * x / 4 + x x = 12 d is the answer" | physics |
math_qa__E2ez8K1JahP7OJqB | The profits of QRS company rose 35% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June? Choose the correct choice from the following options: A) 15 % B) 32 % C) 40 % D) 62 % E) 80 % | <gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">1 + (7/20)</gadget>
<output>27/20 = around 1.35</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">(27/20) * (4/5)</gadget>
<output>27/25 = around 1.08</output>
<gadget id="calculator">(3/2) * (27/25)</gadget>
<output>81/50 = around 1.62</output>
<gadget id="calculator">(81/50) - 1</gadget>
<output>31/50 = around 0.62</output>
<gadget id="calculator">100 * (31/50)</gadget>
<output>62</output>
<result>D</result> | D | 62 | The profits of QRS company rose 35% from March to April, then dropped 20% from April to May, then rose 50% from May to June. What was the percent increase for the whole quarter, from March to June? | {
"A": "15 %",
"B": "32 %",
"C": "40 %",
"D": "62 %",
"E": "80 %"
} | multiply(const_100, subtract(multiply(add(const_1, divide(50, const_100)), multiply(add(const_1, divide(35, const_100)), subtract(const_1, divide(20, const_100)))), const_1)) | divide(n2,const_100)|divide(n0,const_100)|divide(n1,const_100)|add(#0,const_1)|add(#1,const_1)|subtract(const_1,#2)|multiply(#4,#5)|multiply(#3,#6)|subtract(#7,const_1)|multiply(#8,const_100) | assume 100 in march , then 135 in april as 35 % increase , then 108 in may as 20 % decrease from april , and then 162 in june which is 150 % of 108 . so overall increase is from 100 to 162 is 62 % answer d | gain |
math_qa__Ivtc6GdLZvzPx4JK | Find the area of a parallelogram with base 36 cm and height 24 cm?
Options:
A) 760 B) 284 C) 288 D) 864 E) 820 | <gadget id="calculator">36 * 24</gadget>
<output>864</output>
<result>D</result> | D | 864 | Find the area of a parallelogram with base 36 cm and height 24 cm? | {
"A": "760",
"B": "284",
"C": "288",
"D": "864",
"E": "820"
} | multiply(36, 24) | multiply(n0,n1)| | "area of a parallelogram = base * height = 36 * 24 = 864 cm 2 answer : d" | geometry |
math_qa__pDjn20MRYmfSFz8c | What quantity of water should taken out to concentrate 18 liters of 40% acidic liquid to 60% acidic liquid? Choices: A) 5 liters B) 10 liters C) 15 liters D) 8 liters E) 6 liters | <gadget id="calculator">18 * 40</gadget>
<output>720</output>
<gadget id="calculator">720 / 60</gadget>
<output>12</output>
<gadget id="calculator">18 - 12</gadget>
<output>6</output>
<result>E</result> | E | 6 | What quantity of water should taken out to concentrate 18 liters of 40% acidic liquid to 60% acidic liquid? | {
"A": "5 liters",
"B": "10 liters",
"C": "15 liters",
"D": "8 liters",
"E": "6 liters"
} | subtract(18, divide(multiply(18, 40), 60)) | multiply(n0,n1)|divide(#0,n2)|subtract(n0,#1)| | "required answer is = 18 ( 60 - 40 ) / 60 = 6 liters answer is e" | gain |
math_qa__23mTUQu8Cb2o5L11 | If the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 26, what is the value of r-p? Choose the correct choice from the following:
A) 20 B) 10 C) 32 D) 40 E) 5 | <gadget id="calculator">26 * 2</gadget>
<output>52</output>
<gadget id="calculator">10 * 2</gadget>
<output>20</output>
<gadget id="calculator">52 - 20</gadget>
<output>32</output>
<result>C</result> | C | 32 | If the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 26, what is the value of r-p? | {
"A": "20",
"B": "10",
"C": "32",
"D": "40",
"E": "5"
} | subtract(multiply(26, const_2), multiply(10, const_2)) | multiply(n1,const_2)|multiply(n0,const_2)|subtract(#0,#1)| | "arithmetic mean expression for p and q : ( p + q ) / 2 = 10 ; p + q = 20 - - - - eq 1 arithmetic mean expression for q and r : ( q + r ) / 2 = 20 ; q + r = 52 - - - - eq 2 subtracting eq 1 from eq 2 we get : r - p = 32 hence , the correct answer is c" | general |
math_qa__XPXOoORwAQII7rWM | A bowl was half full of water. 4 cups of water were then added to the bowl, filling the bowl to 70% of its capacity. How many cups of water are now in the bowl? Choose the correct option:
A) 14 B) 15 C) 16 D) 17 E) 18 | <gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">4 * 100</gadget>
<output>400</output>
<gadget id="calculator">100 / 2</gadget>
<output>50</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(7/10) - (1/2)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 100</gadget>
<output>20</output>
<gadget id="calculator">400 / 20</gadget>
<output>20</output>
<gadget id="calculator">(7/10) * 20</gadget>
<output>14</output>
<result>A</result> | A | 14 | A bowl was half full of water. 4 cups of water were then added to the bowl, filling the bowl to 70% of its capacity. How many cups of water are now in the bowl? | {
"A": "14",
"B": "15",
"C": "16",
"D": "17",
"E": "18"
} | multiply(divide(70, const_100), divide(multiply(4, const_100), multiply(subtract(divide(70, const_100), divide(divide(const_100, const_2), const_100)), const_100))) | divide(n1,const_100)|divide(const_100,const_2)|multiply(n0,const_100)|divide(#1,const_100)|subtract(#0,#3)|multiply(#4,const_100)|divide(#2,#5)|multiply(#0,#6) | lets say total volume of the container = v initial water content is half of total volume = v / 2 then 4 cups of water were added . current water content = ( v / 2 ) + 4 cups = ( 70 / 100 ) v = > v = 20 cups = > current water content is equivalent to = v / 2 + 4 cups = 20 / 2 + 4 = 14 cups ; answer : a | gain |
math_qa__vBJSmDyqvN6qOdSa | The number 189 is equal to the sum of the cubes of two integers. What is the product of those integers? Choose the most appropriate option: A) 8 B) 15 C) 20 D) 27 E) 39 | <gadget id="calculator">189 / 2</gadget>
<output>189/2 = around 94.5</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(189/2) ** (1/3)</gadget>
<output>3*2**(2/3)*7**(1/3)/2 = around 4.554883</output>
<gadget id="calculator">floor(3*2**(2/3)*7**(1/3)/2)</gadget>
<output>4</output>
<gadget id="calculator">4 ** 3</gadget>
<output>64</output>
<gadget id="calculator">189 - 64</gadget>
<output>125</output>
<gadget id="calculator">125 ** (1/3)</gadget>
<output>5</output>
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
<result>C</result> | C | 20 | The number 189 is equal to the sum of the cubes of two integers. What is the product of those integers? | {
"A": "8",
"B": "15",
"C": "20",
"D": "27",
"E": "39"
} | multiply(floor(power(divide(189, const_2), divide(const_1, const_3))), power(subtract(189, power(floor(power(divide(189, const_2), divide(const_1, const_3))), const_3)), divide(const_1, const_3))) | divide(n0,const_2)|divide(const_1,const_3)|power(#0,#1)|floor(#2)|power(#3,const_3)|subtract(n0,#4)|power(#5,#1)|multiply(#3,#6)| | "4 ^ 3 + 5 ^ 3 = 189 the number is 4 * 5 = 20 c" | general |
math_qa__ySytCMFqGK43kfVH | In the biology lab of "Jefferson" High School there are 0.036*10^5 germs, equally divided among 36000*10^(-3) Petri dishes. How many germs live happily in a single dish?
Choose the correct choice.
A) 100 B) 200 C) 300 D) 400 E) 500 | <gadget id="calculator">1_000 * 100</gadget>
<output>100_000</output>
<gadget id="calculator">100_000 * 0.036</gadget>
<output>3_600</output>
<gadget id="calculator">36_000 / 1_000</gadget>
<output>36</output>
<gadget id="calculator">3_600 / 36</gadget>
<output>100</output>
<result>A</result> | A | 100 | In the biology lab of "Jefferson" High School there are 0.036*10^5 germs, equally divided among 36000*10^(-3) Petri dishes. How many germs live happily in a single dish? | {
"A": "100",
"B": "200",
"C": "300",
"D": "400",
"E": "500"
} | divide(multiply(multiply(const_1000, const_100), 0.036), divide(36000, const_1000)) | divide(n3,const_1000)|multiply(const_100,const_1000)|multiply(n0,#1)|divide(#2,#0)| | "0.037 * 10 ^ 5 can be written as 3600 74000 * 10 ^ ( - 3 ) can be written as 36 required = 3600 / 36 = 100 answer : a" | general |
math_qa__QrGOPeKo2F4D43hQ | In 120 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by: Choose the correct answer.
A) 24 m
B) 25 m
C) 22.5 m
D) 9 m
E) 12 m | <gadget id="calculator">120 / 45</gadget>
<output>8/3 = around 2.666667</output>
<gadget id="calculator">45 - 36</gadget>
<output>9</output>
<gadget id="calculator">(8/3) * 9</gadget>
<output>24</output>
<result>A</result> | A | 24 | In 120 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by: | {
"A": "24 m",
"B": "25 m",
"C": "22.5 m",
"D": "9 m",
"E": "12 m"
} | multiply(divide(120, 45), subtract(45, 36)) | divide(n0,n2)|subtract(n2,n1)|multiply(#0,#1)| | "distance covered by b in 9 sec . = 120 / 45 x 9 m = 24 m . a beats b by 24 metres . answer : option a" | physics |
math_qa__yeGkfohjUHCkJ0rY | How many seconds will a 450 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 63 km/hr? Answers
A) 20 B) 27 C) 42 D) 32 E) 60 | <gadget id="calculator">63 - 3</gadget>
<output>60</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">60 * (5/18)</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">450 / (50/3)</gadget>
<output>27</output>
<result>B</result> | B | 27 | How many seconds will a 450 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 63 km/hr? | {
"A": "20",
"B": "27",
"C": "42",
"D": "32",
"E": "60"
} | divide(450, multiply(subtract(63, 3), const_0_2778)) | subtract(n2,n1)|multiply(#0,const_0_2778)|divide(n0,#1)| | "speed of train relative to man = 63 - 3 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 450 * 3 / 50 = 27 sec . answer : option b" | physics |
math_qa__pOYnxyVOfJIyUudz | Fox jeans regularly sell for $10 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans? Select the correct option
A) 9 % B) 10 % C) 11 % D) 12 % E) 40 % | <gadget id="calculator">22 / 100</gadget>
<output>11/50 = around 0.22</output>
<gadget id="calculator">18 * 2</gadget>
<output>36</output>
<gadget id="calculator">(11/50) * 36</gadget>
<output>198/25 = around 7.92</output>
<gadget id="calculator">9 - (198/25)</gadget>
<output>27/25 = around 1.08</output>
<gadget id="calculator">10 * 3</gadget>
<output>30</output>
<gadget id="calculator">30 - 36</gadget>
<output>-6</output>
<gadget id="calculator">(27/25) / (-6)</gadget>
<output>-9/50 = around -0.18</output>
<gadget id="calculator">(11/50) - (-9/50)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 100</gadget>
<output>40</output>
<result>E</result> | E | 40 | Fox jeans regularly sell for $10 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $9 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 22 percent, what is the discount rate on Pony jeans? | {
"A": "9 %",
"B": "10 %",
"C": "11 %",
"D": "12 %",
"E": "40 %"
} | multiply(subtract(divide(22, const_100), divide(subtract(9, multiply(divide(22, const_100), multiply(18, 2))), subtract(multiply(10, 3), multiply(18, 2)))), const_100) | divide(n6,const_100)|multiply(n1,n5)|multiply(n0,n4)|multiply(#0,#1)|subtract(#2,#1)|subtract(n2,#3)|divide(#5,#4)|subtract(#0,#6)|multiply(#7,const_100)| | "x discount on pony jeans , ( 0.22 - x ) discount on fox jeans . set the equation : 3 * 10 ( 0.22 - x ) + 2 * 18 x = 9 - - > x = 0.4 = 40 % answer : e ." | gain |
math_qa__bMfwBGGMVw4WhVoS | A taxi leaves Point A 3 hours after a bus left the same spot. The bus is traveling 30 mph slower than the taxi. Find the speed of the taxi, if it overtakes the bus in three hours.
Choices
A) 60 B) 72 C) 48 D) 36 E) 64 | <gadget id="calculator">3 * 30</gadget>
<output>90</output>
<gadget id="calculator">90 + 90</gadget>
<output>180</output>
<gadget id="calculator">3 + 3</gadget>
<output>6</output>
<gadget id="calculator">6 - 3</gadget>
<output>3</output>
<gadget id="calculator">180 / 3</gadget>
<output>60</output>
<result>A</result> | A | 60 | A taxi leaves Point A 3 hours after a bus left the same spot. The bus is traveling 30 mph slower than the taxi. Find the speed of the taxi, if it overtakes the bus in three hours. | {
"A": "60",
"B": "72",
"C": "48",
"D": "36",
"E": "64"
} | divide(add(multiply(3, 30), multiply(3, 30)), subtract(add(3, 3), 3)) | add(n0,n0)|multiply(n0,n1)|add(#1,#1)|subtract(#0,n0)|divide(#2,#3) | let the speed of bus be v - 30 , speed of taxi be v the bus travelled a total of 6 hrs and taxi a total of 3 hrs . hence 6 * ( v - 30 ) = 3 v 6 v - 180 = 3 v 3 v = 180 v = 60 mph a | physics |
math_qa__csSw333n3WM7UNHZ | A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume. When the reservoir is full and if 40,000 liters of petrol is used daily, the suply fails in 90 days.If 32,000 liters of petrol is used daily, it fails in 60 days. How much petrol can be used daily with out the supply ever failing?
Answers:
A) 64000 liters B) 56000 liters C) 78000 liters D) 60000 liters E) none of these | <gadget id="calculator">60 * 90</gadget>
<output>5_400</output>
<gadget id="calculator">2 * (180 * 60 + 60 * 60 + 180 * 60)</gadget>
<output>50_400</output>
<gadget id="calculator">5_400 + 50_400</gadget>
<output>55_800</output>
<gadget id="calculator">55_800 + 180</gadget>
<output>55_980</output>
<gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">55_980 + 20</gadget>
<output>56_000</output>
<result>B</result> | B | 56,000 | A single reservoir supplies the petrol to the whole city, while the reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume. When the reservoir is full and if 40,000 liters of petrol is used daily, the suply fails in 90 days.If 32,000 liters of petrol is used daily, it fails in 60 days. How much petrol can be used daily with out the supply ever failing? | {
"A": "64000 liters",
"B": "56000 liters",
"C": "78000 liters",
"D": "60000 liters",
"E": "none of these"
} | add(add(add(multiply(60, 90), surface_rectangular_prism(const_180, 60, 60)), const_180), multiply(const_2, const_10)) | multiply(n1,n3)|multiply(const_10,const_2)|surface_rectangular_prism(n3,n3,const_180)|add(#0,#2)|add(#3,const_180)|add(#4,#1) | explanation : let x liter be the per day filling and v litr be the capacity of the reservoir , then 90 x + v = 40000 × 90 - - - - - ( 1 ) 60 x + v = 32000 × 60 - - - - - - ( 2 ) solving eq . ( 1 ) and ( 2 ) , we get x = 56000 hence , 56000 liters per day can be used without the failure of supply . answer : b | physics |
math_qa__RFFEpMN434eSrJbX | The length of the bridge, which a train 100 metres long and travelling at 45 km/hr can cross in 30 seconds, is? Pick one:
A) 10 m
B) 16 m
C) 275 m
D) 19 m
E) 27 m | <gadget id="calculator">1_000 / 1</gadget>
<output>1_000</output>
<gadget id="calculator">45 * 1_000</gadget>
<output>45_000</output>
<gadget id="calculator">3_600 / 1</gadget>
<output>3_600</output>
<gadget id="calculator">45_000 / 3_600</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) * 30</gadget>
<output>375</output>
<gadget id="calculator">375 - 100</gadget>
<output>275</output>
<result>C</result> | C | 275 | The length of the bridge, which a train 100 metres long and travelling at 45 km/hr can cross in 30 seconds, is? | {
"A": "10 m",
"B": "16 m",
"C": "275 m",
"D": "19 m",
"E": "27 m"
} | subtract(multiply(divide(multiply(45, speed(const_1000, const_1)), speed(const_3600, const_1)), 30), 100) | speed(const_1000,const_1)|speed(const_3600,const_1)|multiply(n1,#0)|divide(#2,#1)|multiply(n2,#3)|subtract(#4,n0)| | "speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 100 + x ) / 30 = 25 / 2 = > 2 ( 100 + x ) = 750 = > x = 275 m . answer : c" | physics |
math_qa__JEraIaxfGPZkGWRi | Ravish has to secure 40% marks to clear his board exam of class 10th.
He got 40 marks and failed by 40 marks.
What is the maximum marks ? Choose the correct answer:
A) 150 B) 135 C) 160 D) 200 E) 155 | <gadget id="calculator">40 + 40</gadget>
<output>80</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">80 / (2/5)</gadget>
<output>200</output>
<result>D</result> | D | 200 | Ravish has to secure 40% marks to clear his board exam of class 10th.
He got 40 marks and failed by 40 marks.
What is the maximum marks ? | {
"A": "150",
"B": "135",
"C": "160",
"D": "200",
"E": "155"
} | divide(add(40, 40), divide(40, const_100)) | add(n0,n0)|divide(n0,const_100)|divide(#0,#1) | d 200 to pass the exam ravish needs 40 + 40 = 80 marks . = > ( 80 / 40 ) * 100 = 200 | gain |
math_qa__2HlzptohVPAvpf38 | Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 41 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped? Choose one:
A) 140
B) 175
C) 210
D) 245
E) 280 | <gadget id="calculator">72 / 60</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">(6/5) * 35</gadget>
<output>42</output>
<gadget id="calculator">41 - 35</gadget>
<output>6</output>
<gadget id="calculator">42 / 6</gadget>
<output>7</output>
<gadget id="calculator">35 * 7</gadget>
<output>245</output>
<result>D</result> | D | 245 | Car X began traveling at an average speed of 35 miles per hour. After 72 minutes, car Y began traveling at an average speed of 41 miles per hour. When both cars had traveled the same distance, both cars stopped. How many miles did car X travel from the time car Y began traveling until both cars stopped? | {
"A": "140",
"B": "175",
"C": "210",
"D": "245",
"E": "280"
} | multiply(35, divide(multiply(divide(72, const_60), 35), subtract(41, 35))) | divide(n1,const_60)|subtract(n2,n0)|multiply(n0,#0)|divide(#2,#1)|multiply(n0,#3)| | "in 72 minutes , car x travels 42 miles . car y gains 6 miles each hour , so it takes 7 hours to catch car x . in 7 hours , car x travels 245 miles . the answer is d ." | physics |
math_qa__tW265BlYzc6IWRwh | A man swims downstream 36 km and upstream 48 km taking 6 hours each time, what is the speed of the man in still water? Select:
A) 5
B) 24
C) 7
D) 42
E) 6 | <gadget id="calculator">48 / 6</gadget>
<output>8</output>
<gadget id="calculator">36 / 6</gadget>
<output>6</output>
<gadget id="calculator">8 + 6</gadget>
<output>14</output>
<gadget id="calculator">14 / 2</gadget>
<output>7</output>
<result>C</result> | C | 7 | A man swims downstream 36 km and upstream 48 km taking 6 hours each time, what is the speed of the man in still water? | {
"A": "5",
"B": "24",
"C": "7",
"D": "42",
"E": "6"
} | divide(add(divide(48, 6), divide(36, 6)), const_2) | divide(n1,n2)|divide(n0,n2)|add(#0,#1)|divide(#2,const_2)| | "36 - - - 6 ds = 6 ? - - - - 1 48 - - - - 6 us = 8 ? - - - - 1 m = ? m = ( 6 + 8 ) / 2 = 7 answer : c" | physics |
math_qa__8k1690J59WUhJa2X | A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 17 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?
Choices.
A) 1 / 10
B) 3 / 10
C) 1 / 2
D) 27 / 100
E) 9 / 100 | <gadget id="calculator">50 + 40</gadget>
<output>90</output>
<gadget id="calculator">90 - 17</gadget>
<output>73</output>
<gadget id="calculator">100 - 73</gadget>
<output>27</output>
<gadget id="calculator">27 / 100</gadget>
<output>27/100 = around 0.27</output>
<result>D</result> | D | 0.27 | A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchases cake mix, 40 purchase muffin mix, and 17 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix? | {
"A": "1 / 10",
"B": "3 / 10",
"C": "1 / 2",
"D": "27 / 100",
"E": "9 / 100"
} | divide(subtract(100, subtract(add(50, 40), 17)), 100) | add(n1,n2)|subtract(#0,n3)|subtract(n0,#1)|divide(#2,n0) | c + m + b - cm - mb - cb - 2 cmb = 100 c - cake buyers , m - muffin and b - bread buyers . cm , mb , cb and cmb are intersecting regions . the question asks for people who have bought only bread mixes = b - cb - mb - 2 cmb has to be found out . 50 + 40 + b - cb - mb - 17 - 2 cmb = 100 b - cb - mb - 2 cmb = 27 hence the probability = 27 / 100 d | other |
math_qa__P9rUsZk0ncyUkiiG | The original price of a suit is $150. The price increased 20%, and after this increase, the store published a 20% off coupon for a one-day sale. Given that the consumers who used the coupon on sale day were getting 20% off the increased price, how much did these consumers pay for the suit? Choose the correct answer
A) $ 130
B) $ 136
C) $ 144
D) $ 150
E) $ 160 | <gadget id="calculator">150 * 20</gadget>
<output>3_000</output>
<gadget id="calculator">3_000 / 100</gadget>
<output>30</output>
<gadget id="calculator">150 + 30</gadget>
<output>180</output>
<gadget id="calculator">180 * 20</gadget>
<output>3_600</output>
<gadget id="calculator">3_600 / 100</gadget>
<output>36</output>
<gadget id="calculator">180 - 36</gadget>
<output>144</output>
<result>C</result> | C | 144 | The original price of a suit is $150. The price increased 20%, and after this increase, the store published a 20% off coupon for a one-day sale. Given that the consumers who used the coupon on sale day were getting 20% off the increased price, how much did these consumers pay for the suit? | {
"A": "$ 130",
"B": "$ 136",
"C": "$ 144",
"D": "$ 150",
"E": "$ 160"
} | subtract(add(150, divide(multiply(150, 20), const_100)), divide(multiply(add(150, divide(multiply(150, 20), const_100)), 20), const_100)) | multiply(n0,n1)|divide(#0,const_100)|add(n0,#1)|multiply(n1,#2)|divide(#3,const_100)|subtract(#2,#4)| | "0.8 * ( 1.2 * 150 ) = $ 144 the answer is c ." | general |
math_qa__tdHGTh93gyUuLqe1 | The length of a rectangular floor is more than its breadth by 200%. If Rs. 624 is required to paint the floor at the rate of Rs. 4 per sq m, then what would be the length of the floor? Options.
A) 22.8 m . B) 21.6 m . C) 21.1 m . D) 20.6 m . E) 22.5 m . | <gadget id="calculator">624 / 4</gadget>
<output>156</output>
<gadget id="calculator">156 / 3</gadget>
<output>52</output>
<gadget id="calculator">52 ** (1/2)</gadget>
<output>2*sqrt(13) = around 7.211103</output>
<gadget id="calculator">(2*sqrt(13)) * 3</gadget>
<output>6*sqrt(13) = around 21.633308</output>
<result>B</result> | B | 21.6 | The length of a rectangular floor is more than its breadth by 200%. If Rs. 624 is required to paint the floor at the rate of Rs. 4 per sq m, then what would be the length of the floor? | {
"A": "22.8 m .",
"B": "21.6 m .",
"C": "21.1 m .",
"D": "20.6 m .",
"E": "22.5 m ."
} | multiply(sqrt(divide(divide(624, 4), 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 = 624 / 4 = 156 sq m l b = 156 i . e . , l * l / 3 = 156 l 2 = 468 = > l = 21.6 m . answer : b" | gain |
math_qa__C4pzqvoE4IOz8fPO | A is twice as fast as B. If B alone can do a piece of work in 10 days, in what time can A and B together complete the work? Choose the correct choice from the following:
A) 10 / 3 B) 8 C) 9 D) 7 / 3 E) 12 | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) * 2</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/10) + (1/5)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 / (3/10)</gadget>
<output>10/3 = around 3.333333</output>
<result>A</result> | A | 3.333333 | A is twice as fast as B. If B alone can do a piece of work in 10 days, in what time can A and B together complete the work? | {
"A": "10 / 3",
"B": "8",
"C": "9",
"D": "7 / 3",
"E": "12"
} | inverse(add(divide(const_1, 10), multiply(divide(const_1, 10), const_2))) | divide(const_1,n0)|multiply(#0,const_2)|add(#0,#1)|inverse(#2)| | "a can do the work in 10 / 2 i . e . , 5 days . a and b ' s one day ' s work = 1 / 5 + 1 / 10 = ( 2 + 1 ) / 10 = 10 / 3 so a and b together can do the work in 10 / 3 days . answer : a" | physics |
math_qa__5LO8qAurMA5uRBd2 | How much time does a train 225 metres long running at 90 km/hr take to pass a pole? Choices.
A) 7.9 s B) 2.5 s C) 7.5 s D) 9 s E) 7.4 s | <gadget id="calculator">225 / 1_000</gadget>
<output>9/40 = around 0.225</output>
<gadget id="calculator">(9/40) / 90</gadget>
<output>1/400 = around 0.0025</output>
<gadget id="calculator">(1/400) * 3_600</gadget>
<output>9</output>
<result>D</result> | D | 9 | How much time does a train 225 metres long running at 90 km/hr take to pass a pole? | {
"A": "7.9 s",
"B": "2.5 s",
"C": "7.5 s",
"D": "9 s",
"E": "7.4 s"
} | multiply(divide(divide(225, const_1000), 90), const_3600) | divide(n0,const_1000)|divide(#0,n1)|multiply(#1,const_3600)| | "explanation : 90 km / hr = 90 * 5 / 18 = 25 m / s speed = distance / time ; v = d / t 25 = 225 / t t = 9 s answer : d" | general |
math_qa__C8uGl4LRW7zgocPv | Of the goose eggs laid at a certain pond, 1/3 hatched and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond? Choose the most appropriate option:
A) 1000 B) 1200 C) 1400 D) 1600 E) 1800 | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">120 / (2/5)</gadget>
<output>300</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">300 / (3/4)</gadget>
<output>400</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">400 / (1/3)</gadget>
<output>1_200</output>
<result>B</result> | B | 1,200 | Of the goose eggs laid at a certain pond, 1/3 hatched and 3/4 of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, 3/5 did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond? | {
"A": "1000",
"B": "1200",
"C": "1400",
"D": "1600",
"E": "1800"
} | divide(divide(divide(120, subtract(const_1, divide(3, 5))), divide(3, 4)), divide(1, 3)) | divide(n1,n5)|divide(n1,n3)|divide(n0,n1)|subtract(const_1,#0)|divide(n6,#3)|divide(#4,#1)|divide(#5,#2)| | "let x be the number of eggs that were laid . ( 2 / 5 ) ( 3 / 4 ) ( 1 / 3 ) x = 120 ( 6 / 60 ) x = 120 x = 1200 the answer is b ." | general |
math_qa__hNuaRNPBnTajf77D | The price of lunch for 20 people was $300 including a 20% gratuity for service. What was the average price per person, EXCLUDING the gratuity? Choose the correct choice
A) 11.73 B) 12.5 C) 13.8 D) 14 E) 15.87 | <gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">300 * 80</gadget>
<output>24_000</output>
<gadget id="calculator">24_000 / 100</gadget>
<output>240</output>
<gadget id="calculator">240 / 20</gadget>
<output>12</output>
<result>B</result> | B | 12.5 | The price of lunch for 20 people was $300 including a 20% gratuity for service. What was the average price per person, EXCLUDING the gratuity? | {
"A": "11.73",
"B": "12.5",
"C": "13.8",
"D": "14",
"E": "15.87"
} | divide(divide(multiply(300, subtract(const_100, 20)), const_100), 20) | subtract(const_100,n2)|multiply(n1,#0)|divide(#1,const_100)|divide(#2,n0)| | "clearly b is the answer i used poe here lets consider option ( b ) 20 * 12.5 = 250 now 250 ( 120 / 100 ) = 300 = > possible answer imo b" | general |
math_qa__GRZcmJp1NDr5cKJ7 | The size of a flat-screen television is given as the length of the screen’s diagonal. How many square inches greater is the screen of a square 28-inch flat-screen television than a square 25 -inch flat-screen television? Options:
A) 79.5
B) 89.3
C) 85.5
D) 75.4
E) 72.5 | <gadget id="calculator">28 ** 2</gadget>
<output>784</output>
<gadget id="calculator">784 / 2</gadget>
<output>392</output>
<gadget id="calculator">25 ** 2</gadget>
<output>625</output>
<gadget id="calculator">625 / 2</gadget>
<output>625/2 = around 312.5</output>
<gadget id="calculator">392 - (625/2)</gadget>
<output>159/2 = around 79.5</output>
<result>A</result> | A | 79.5 | The size of a flat-screen television is given as the length of the screen’s diagonal. How many square inches greater is the screen of a square 28-inch flat-screen television than a square 25 -inch flat-screen television? | {
"A": "79.5",
"B": "89.3",
"C": "85.5",
"D": "75.4",
"E": "72.5"
} | subtract(divide(power(28, const_2), const_2), divide(power(25, const_2), const_2)) | power(n0,const_2)|power(n1,const_2)|divide(#0,const_2)|divide(#1,const_2)|subtract(#2,#3) | if we take a square with side length x and draw a diagonal , we get two isosceles right triangles . if we focus on one such right triangle , we see that the legs have length x . square 28 - inch flat - screen television the diagonal ( hypotenuse ) = 28 so , we can apply the pythagorean theorem to get x ² + x ² = 28 ² simplify : 2 x ² = 28 ² divide both sides by 2 to get : x ² = 28 ² / 2 since the area of the square = x ² , we can see that the area of this square is 28 ² / 2 square 25 - inch flat - screen television the diagonal ( hypotenuse ) = 25 so , we can apply the pythagorean theorem to get x ² + x ² = 25 ² simplify : 2 x ² = 25 ² divide both sides by 2 to get : x ² = 25 ² / 2 since the area of the square = x ² , we can see that the area of this square is 25 ² / 2 difference in areas = 28 ² / 2 - 25 ² / 2 = ( 28 ² - 25 ² ) / 2 = ( 784 - 625 ) / 2 = 159 / 2 = 79.5 a | geometry |
math_qa__BYDUrdBD8paluFkz | Chris mixed 4 pounds of raisins with 4 pounds of nuts. If a pound of nuts costs 3 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture?
Choose the correct choice from the following options:
A) 1 / 7
B) 1 / 5
C) 1 / 4
D) 1 / 3
E) 3 / 7 | <gadget id="calculator">4 * 3</gadget>
<output>12</output>
<gadget id="calculator">12 + 4</gadget>
<output>16</output>
<gadget id="calculator">4 / 16</gadget>
<output>1/4 = around 0.25</output>
<result>C</result> | C | 0.25 | Chris mixed 4 pounds of raisins with 4 pounds of nuts. If a pound of nuts costs 3 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture? | {
"A": "1 / 7",
"B": "1 / 5",
"C": "1 / 4",
"D": "1 / 3",
"E": "3 / 7"
} | divide(4, add(multiply(4, 3), 4)) | multiply(n1,n2)|add(n0,#0)|divide(n0,#1)| | "1 lbs of raisin = $ 1 4 lbs of raisin = $ 4 1 lbs of nuts = $ 3 4 lbs of nuts = $ 12 total value of mixture = 12 + 4 = 16 fraction of the value of raisin = 4 / 16 = 1 / 4 ans : c" | general |
math_qa__tzRLhdgrLihx7FAe | A certain company’s profit in 1996 was 10 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. The company’s profit in 1997 was what percent greater than its profit in 1995? Options.
A) 5 % B) 18 % C) 32 % D) 35 % E) 38 % | <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">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">(6/5) * (11/10)</gadget>
<output>33/25 = around 1.32</output>
<gadget id="calculator">(33/25) - 1</gadget>
<output>8/25 = around 0.32</output>
<gadget id="calculator">(8/25) * 100</gadget>
<output>32</output>
<result>C</result> | C | 32 | A certain company’s profit in 1996 was 10 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. The company’s profit in 1997 was what percent greater than its profit in 1995? | {
"A": "5 %",
"B": "18 %",
"C": "32 %",
"D": "35 %",
"E": "38 %"
} | multiply(subtract(multiply(add(divide(20, const_100), const_1), add(const_1, divide(10, const_100))), const_1), const_100) | divide(n4,const_100)|divide(n1,const_100)|add(#0,const_1)|add(#1,const_1)|multiply(#2,#3)|subtract(#4,const_1)|multiply(#5,const_100) | profit in 1995 - 100 profit in 1996 - 110 % increae profit in 1997 in comparison to 1995 = 10 + 110 * 20 % = 32 correct option : c | gain |
math_qa__voKxVW1TSDYfVxte | If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 11. Choose the correct option.
A) 8
B) 5
C) 1
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">11 + 1</gadget>
<output>12</output>
<gadget id="calculator">12 / 12</gadget>
<output>1</output>
<result>C</result> | C | 1 | If a * b * c =(√(a + 2)(b + 3)) / (c + 1), find the value of 6 * 15 * 11. | {
"A": "8",
"B": "5",
"C": "1",
"D": "3",
"E": "4"
} | divide(sqrt(multiply(add(6, 2), add(15, 3))), add(11, 1)) | add(n0,n3)|add(n1,n4)|add(n2,n5)|multiply(#0,#1)|sqrt(#3)|divide(#4,#2)| | "6 * 15 * 11 = ( √ ( 6 + 2 ) ( 15 + 3 ) ) / ( 11 + 1 ) = ( √ 8 * 18 ) / 12 = ( √ 144 ) / 12 = 12 / 124 = 1 . answer is c" | general |
math_qa__3touHD5yUYsxG7hr | An amount of money is to be distributed among Faruk, Vasim and Ranjith in the ratio 3 : 5 : 8. If Vasims share is Rs. 1500, what is the difference between Faruk's and Ranjith's shares?
Choose the correct choice from the following options:
A) s 1200
B) s 1500
C) s 1600
D) s 1900
E) s 1700 | <gadget id="calculator">1_500 / 5</gadget>
<output>300</output>
<gadget id="calculator">8 - 3</gadget>
<output>5</output>
<gadget id="calculator">300 * 5</gadget>
<output>1_500</output>
<result>B</result> | B | 1,500 | An amount of money is to be distributed among Faruk, Vasim and Ranjith in the ratio 3 : 5 : 8. If Vasims share is Rs. 1500, what is the difference between Faruk's and Ranjith's shares? | {
"A": "s 1200",
"B": "s 1500",
"C": "s 1600",
"D": "s 1900",
"E": "s 1700"
} | multiply(divide(1500, 5), subtract(8, 3)) | divide(n3,n1)|subtract(n2,n0)|multiply(#0,#1)| | "explanation : let p = faruk , q = vasim , r = ranjith let p = 3 x , q = 5 x and r = 8 x . then , 5 x = 1500 ? x = 300 . p = 900 , q = 1500 and r = 2400 . hence , ( r - p ) = ( 2400 - 900 ) = 1500 answer : b" | other |
math_qa__MCtukYyNRiQZkEaT | In a caravan, in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads in the caravan, the number of keepers is Choose the correct choice from the following answers:
A) 5
B) 8
C) 10
D) 15
E) 20 | <gadget id="calculator">50 + 45</gadget>
<output>95</output>
<gadget id="calculator">95 + 8</gadget>
<output>103</output>
<gadget id="calculator">103 + 224</gadget>
<output>327</output>
<gadget id="calculator">2 * 50</gadget>
<output>100</output>
<gadget id="calculator">4 * 45</gadget>
<output>180</output>
<gadget id="calculator">100 + 180</gadget>
<output>280</output>
<gadget id="calculator">4 * 8</gadget>
<output>32</output>
<gadget id="calculator">280 + 32</gadget>
<output>312</output>
<gadget id="calculator">327 - 312</gadget>
<output>15</output>
<result>D</result> | D | 15 | In a caravan, in addition to 50 hens, there are 45 goats and 8 camels with some keepers. If the total number of feet be 224 more than the number of heads in the caravan, the number of keepers is | {
"A": "5",
"B": "8",
"C": "10",
"D": "15",
"E": "20"
} | subtract(add(add(add(50, 45), 8), 224), add(add(multiply(const_2, 50), multiply(const_4, 45)), multiply(const_4, 8))) | add(n0,n1)|multiply(n0,const_2)|multiply(n1,const_4)|multiply(n2,const_4)|add(n2,#0)|add(#1,#2)|add(n3,#4)|add(#5,#3)|subtract(#6,#7) | explanation : let number of keepers be x . then , total number of feet = 2 x 50 + 4 x 45 + 4 x 8 + 2 x = 2 x + 312 . total number of heads = 50 + 45 + 8 + x = 103 + x . therefore ( 2 x + 312 ) = ( 103 + x ) + 224 or x = 15 . answer : d | general |
math_qa__MeJXDLRR2zILcMjL | A 1500 m long train crosses a tree in 120 sec, how much time will it take to pass a platform 500m long?
Choose the correct choice from the following answers:
A) 288
B) 160
C) 188
D) 188
E) 12 | <gadget id="calculator">1_500 + 500</gadget>
<output>2_000</output>
<gadget id="calculator">1_500 / 120</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">2_000 / (25/2)</gadget>
<output>160</output>
<result>B</result> | B | 160 | A 1500 m long train crosses a tree in 120 sec, how much time will it take to pass a platform 500m long? | {
"A": "288",
"B": "160",
"C": "188",
"D": "188",
"E": "12"
} | divide(add(1500, 500), divide(1500, 120)) | add(n0,n2)|divide(n0,n1)|divide(#0,#1)| | "l = s * t s = 1500 / 120 s = 12.5 m / sec . total length ( d ) = 2000 m t = d / s t = 2000 / 12.5 t = 160 sec answer : b" | physics |
math_qa__mVP4p7idF07Dg69L | N is a positive integer. When N + 1 is divided by 6, the remainder is 4. What is the remainder when N is divided by 2? Choose the correct choice from the following options:
A) 6 B) 5 C) 1 D) 3 E) 2 | <gadget id="calculator">4 + 2</gadget>
<output>6</output>
<gadget id="calculator">6 / 6</gadget>
<output>1</output>
<result>C</result> | C | 1 | N is a positive integer. When N + 1 is divided by 6, the remainder is 4. What is the remainder when N is divided by 2? | {
"A": "6",
"B": "5",
"C": "1",
"D": "3",
"E": "2"
} | divide(6, add(4, 2)) | add(n2,n3)|divide(n1,#0) | n + 1 = 6 a + 4 i . e . n + 1 = 10 , 16 , 22 , 28 , . . . etc . i . e . n = 9 , 15 , 21 , 27 , . . . etc . when n is divided by 2 remainder is always 1 answer : c | general |
math_qa__ivLYjgDHTvBbC4vh | A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m? Choose the correct option
A) 2999 B) 1350 C) 2677 D) 2898 E) 2787 | <gadget id="calculator">2.5 * 2</gadget>
<output>5</output>
<gadget id="calculator">75 + 5</gadget>
<output>80</output>
<gadget id="calculator">55 + 5</gadget>
<output>60</output>
<gadget id="calculator">80 * 60</gadget>
<output>4_800</output>
<gadget id="calculator">75 * 55</gadget>
<output>4_125</output>
<gadget id="calculator">4_800 - 4_125</gadget>
<output>675</output>
<gadget id="calculator">675 * 2</gadget>
<output>1_350</output>
<result>B</result> | B | 1,350 | A rectangular grass field is 75 m * 55 m, it has a path of 2.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m? | {
"A": "2999",
"B": "1350",
"C": "2677",
"D": "2898",
"E": "2787"
} | multiply(subtract(rectangle_area(add(75, multiply(2.5, 2)), add(55, multiply(2.5, 2))), rectangle_area(75, 55)), 2) | multiply(n2,n3)|rectangle_area(n0,n1)|add(n0,#0)|add(n1,#0)|rectangle_area(#2,#3)|subtract(#4,#1)|multiply(n3,#5)| | "area = ( l + b + 2 d ) 2 d = ( 75 + 55 + 2.5 * 2 ) 2 * 2.5 = > 675 675 * 2 = rs . 1350 answerb" | geometry |
math_qa__C6Cw7StB7moTI0QB | If 9/(5 + 3/x) = 1, then x = Choose the correct answer
A) 3 B) 1 C) 3 / 4 D) - 1 / 3 E) - 3 | <gadget id="calculator">9 - 5</gadget>
<output>4</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<result>C</result> | C | 0.75 | If 9/(5 + 3/x) = 1, then x = | {
"A": "3",
"B": "1",
"C": "3 / 4",
"D": "- 1 / 3",
"E": "- 3"
} | divide(3, subtract(9, 5)) | subtract(n0,n1)|divide(n2,#0) | the expression 9 / ( 5 + 3 / x ) = 1 should have been equal to something . if 9 / ( 5 + 3 / x ) = 1 = > 9 x / ( 5 x + 3 ) = 1 = > 9 x = 5 x + 3 = > 4 x = 3 = > x = 3 / 4 correct option : c | general |
math_qa__LJLtUj5ceqCzBMd8 | if price of t.v set is reduced by 25%, then its sale increases by 75%, find net effect on sale value Choose one.
A) 31 B) 32 C) 46 D) 47 E) 48 | <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">100 + 75</gadget>
<output>175</output>
<gadget id="calculator">175 / 100</gadget>
<output>7/4 = around 1.75</output>
<gadget id="calculator">(3/4) * (7/4)</gadget>
<output>21/16 = around 1.3125</output>
<gadget id="calculator">(21/16) - 1</gadget>
<output>5/16 = around 0.3125</output>
<gadget id="calculator">(5/16) * 100</gadget>
<output>125/4 = around 31.25</output>
<result>A</result> | A | 31 | if price of t.v set is reduced by 25%, then its sale increases by 75%, find net effect on sale value | {
"A": "31",
"B": "32",
"C": "46",
"D": "47",
"E": "48"
} | multiply(subtract(multiply(divide(subtract(const_100, 25), const_100), divide(add(const_100, 75), const_100)), const_1), const_100) | add(n1,const_100)|subtract(const_100,n0)|divide(#1,const_100)|divide(#0,const_100)|multiply(#2,#3)|subtract(#4,const_1)|multiply(#5,const_100)| | "- a + b + ( ( - a ) ( b ) / 100 ) = - 25 + 75 + ( - 25 * 75 ) / 100 = - 25 + 75 - 19 = 31 answer : a" | gain |
math_qa__jFh8uHR70H2Jx9IN | 15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 9 hrs. each would it take for 21 women if 3 women do as much work as 2 men? Choose the correct answer.
A) 30 B) 20 C) 19 D) 29 E) 39 | <gadget id="calculator">15 * 21</gadget>
<output>315</output>
<gadget id="calculator">315 * 8</gadget>
<output>2_520</output>
<gadget id="calculator">21 * 9</gadget>
<output>189</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">189 * (2/3)</gadget>
<output>126</output>
<gadget id="calculator">2_520 / 126</gadget>
<output>20</output>
<result>B</result> | B | 20 | 15 men take 21 days of 8 hrs. each to do a piece of work. How many days of 9 hrs. each would it take for 21 women if 3 women do as much work as 2 men? | {
"A": "30",
"B": "20",
"C": "19",
"D": "29",
"E": "39"
} | divide(multiply(multiply(15, 21), 8), multiply(multiply(21, 9), divide(2, 3))) | divide(n6,n5)|multiply(n0,n1)|multiply(n1,n3)|multiply(n2,#1)|multiply(#0,#2)|divide(#3,#4)| | "let 1 man does 1 unit / hr of work 15 m in 21 days of 8 hrs will do ( 15 * 21 * 8 ) units 3 w = 2 m 1 w = ( 2 / 3 ) units / hr 21 w with 9 hrs a day will take ( 15 * 21 * 8 ) / ( 21 * 9 * ( 2 / 3 ) ) days = > 20 days answer : b" | physics |
math_qa__qnII6SIdjUceeOlG | Kathleen can paint a room in 3 hours, and Anthony can paint an identical room in 4 hours. How many hours would it take Kathleen and Anthony to paint both rooms if they work together at their respective rates? Select
A) 8 / 15
B) 4 / 3
C) 15 / 8
D) 24 / 7
E) 15 / 4 | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/3) + (1/4)</gadget>
<output>7/12 = around 0.583333</output>
<gadget id="calculator">1 / (7/12)</gadget>
<output>12/7 = around 1.714286</output>
<gadget id="calculator">(12/7) * 2</gadget>
<output>24/7 = around 3.428571</output>
<result>D</result> | D | 3.428571 | Kathleen can paint a room in 3 hours, and Anthony can paint an identical room in 4 hours. How many hours would it take Kathleen and Anthony to paint both rooms if they work together at their respective rates? | {
"A": "8 / 15",
"B": "4 / 3",
"C": "15 / 8",
"D": "24 / 7",
"E": "15 / 4"
} | multiply(divide(const_1, add(divide(const_1, 3), divide(const_1, 4))), const_2) | divide(const_1,n0)|divide(const_1,n1)|add(#0,#1)|divide(const_1,#2)|multiply(#3,const_2)| | "( 1 / 3 + 1 / 4 ) t = 2 t = 24 / 7 answer : d" | physics |
math_qa__PYl1AUPHLR2xLQDZ | A Bus travels first half distance between two places with a speed of 40 kmph and the rest half distance with a speed of 60 kmph. The average speed of the Bus is ?
Select.
A) 48 kmph B) 78 kmph C) 28 kmph D) 18 kmph E) 98 kmph | <gadget id="calculator">40 + 60</gadget>
<output>100</output>
<gadget id="calculator">100 / 2</gadget>
<output>50</output>
<result>A</result> | A | 48 | A Bus travels first half distance between two places with a speed of 40 kmph and the rest half distance with a speed of 60 kmph. The average speed of the Bus is ? | {
"A": "48 kmph",
"B": "78 kmph",
"C": "28 kmph",
"D": "18 kmph",
"E": "98 kmph"
} | divide(add(40, 60), const_2) | add(n0,n1)|divide(#0,const_2) | explanation : we know that speed = distance traveled / time taken let the total distance traveled by the car is 2 x km . then time taken by it to cover first half is hour . and for second half is hour . then average speed = total distance travelled / total time taken . i . e . = > = 48 kmph . answer : a | physics |
math_qa__ItTGzpcXwodrfCRQ | In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now?
Choose the correct choice.
A) 54888
B) 2777
C) 5400
D) 1278
E) 2881 | <gadget id="calculator">100 + 20</gadget>
<output>120</output>
<gadget id="calculator">120 * 5</gadget>
<output>600</output>
<gadget id="calculator">600 + 400</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 / 20</gadget>
<output>50</output>
<gadget id="calculator">50 - 5</gadget>
<output>45</output>
<gadget id="calculator">45 * 120</gadget>
<output>5_400</output>
<result>C</result> | C | 5,400 | In a hostel there were 100 students. To accommodate 20 more students the average is decreased by rupees 5. But total expenditure increased by Rs.400. Find the total expenditure of the hostel now? | {
"A": "54888",
"B": "2777",
"C": "5400",
"D": "1278",
"E": "2881"
} | multiply(subtract(divide(add(multiply(add(100, 20), 5), 400), 20), 5), add(100, 20)) | add(n0,n1)|multiply(n2,#0)|add(n3,#1)|divide(#2,n1)|subtract(#3,n2)|multiply(#0,#4)| | "100 x + 400 = 12 ( x – 5 ) x = 50 100 * 50 + 400 = 5400 answer : c" | general |
math_qa__2xeTm7MSSGuDZM5i | The ratio between the number of passengers travelling by I and II class between the two railway stations is 1 : 50, whereas the ratio of I and II class fares between the same stations is 3 : 1. If on a particular day Rs. 1,325 were collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers? Answers:
A) rs . 750 B) rs . 1000 C) rs . 850 D) rs . 1250 E) none of these | <gadget id="calculator">50 * 1</gadget>
<output>50</output>
<gadget id="calculator">10 * 100</gadget>
<output>1_000</output>
<gadget id="calculator">3 * 100</gadget>
<output>300</output>
<gadget id="calculator">1_000 + 300</gadget>
<output>1_300</output>
<gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">1_300 + 20</gadget>
<output>1_320</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">1_320 + 5</gadget>
<output>1_325</output>
<gadget id="calculator">1 * 3</gadget>
<output>3</output>
<gadget id="calculator">3 + 50</gadget>
<output>53</output>
<gadget id="calculator">1_325 / 53</gadget>
<output>25</output>
<gadget id="calculator">50 * 25</gadget>
<output>1_250</output>
<result>D</result> | D | 1,250 | The ratio between the number of passengers travelling by I and II class between the two railway stations is 1 : 50, whereas the ratio of I and II class fares between the same stations is 3 : 1. If on a particular day Rs. 1,325 were collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers? | {
"A": "rs . 750",
"B": "rs . 1000",
"C": "rs . 850",
"D": "rs . 1250",
"E": "none of these"
} | multiply(multiply(50, 1), divide(add(add(add(multiply(const_10, const_100), multiply(const_3, const_100)), multiply(const_2, const_10)), add(const_2, const_3)), add(multiply(1, 3), multiply(50, 1)))) | add(const_2,const_3)|multiply(const_10,const_100)|multiply(const_100,const_3)|multiply(const_10,const_2)|multiply(n0,n2)|multiply(n0,n1)|add(#1,#2)|add(#4,#5)|add(#6,#3)|add(#8,#0)|divide(#9,#7)|multiply(#10,#5) | let x be the number of passengers and y be the fare taken from passengers . 3 xy + 50 xy = 1325 = > xy = 25 amount collected from ii class passengers = 25 × 50 = rs . 1250 . answer : d | other |
math_qa__Owh3rhsP3SFtoV4l | ((-1.9)(0.6) – (2.6)(1.2))/4.0 = ? Choose the correct choice from the following answers
A) 1.07
B) 1.0
C) - 1.065
D) 1.71
E) 2.71 | <gadget id="calculator">1.9 * 0.6</gadget>
<output>1.14</output>
<gadget id="calculator">-1.14</gadget>
<output>-1.14</output>
<gadget id="calculator">2.6 * 1.2</gadget>
<output>3.12</output>
<gadget id="calculator">(-1.14) - 3.12</gadget>
<output>-4.26</output>
<gadget id="calculator">(-4.26) / 4</gadget>
<output>-1.065</output>
<result>C</result> | C | -1.065 | ((-1.9)(0.6) – (2.6)(1.2))/4.0 = ? | {
"A": "1.07",
"B": "1.0",
"C": "- 1.065",
"D": "1.71",
"E": "2.71"
} | divide(subtract(negate(multiply(1.9, 0.6)), multiply(2.6, 1.2)), 4.0) | multiply(n0,n1)|multiply(n2,n3)|negate(#0)|subtract(#2,#1)|divide(#3,n4)| | "dove straight into calculation but quickly realized that the sum of two negatives is a negative so there is only one option . - 1.065 answer c" | general |
math_qa__0yZkMIhzpFxqrc8q | The hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle. The shorter side of the triangle is 7 centimeters less than the longer side. Find the length of the hypotenuse. Choose one:
A) 17 B) 18 C) 19 D) 20 E) 21 | <gadget id="calculator">7 + 2</gadget>
<output>9</output>
<gadget id="calculator">9 * 2</gadget>
<output>18</output>
<gadget id="calculator">18 ** 2</gadget>
<output>324</output>
<gadget id="calculator">7 ** 2</gadget>
<output>49</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">49 - 4</gadget>
<output>45</output>
<gadget id="calculator">45 * 4</gadget>
<output>180</output>
<gadget id="calculator">324 - 180</gadget>
<output>144</output>
<gadget id="calculator">144 ** (1/2)</gadget>
<output>12</output>
<gadget id="calculator">18 + 12</gadget>
<output>30</output>
<gadget id="calculator">30 / 2</gadget>
<output>15</output>
<gadget id="calculator">15 + 2</gadget>
<output>17</output>
<result>A</result> | A | 17 | The hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle. The shorter side of the triangle is 7 centimeters less than the longer side. Find the length of the hypotenuse. | {
"A": "17",
"B": "18",
"C": "19",
"D": "20",
"E": "21"
} | add(divide(add(multiply(add(7, 2), 2), sqrt(subtract(power(multiply(add(7, 2), 2), const_2), multiply(subtract(power(7, const_2), power(2, const_2)), const_4)))), const_2), 2) | add(n0,n1)|power(n1,const_2)|power(n0,const_2)|multiply(n0,#0)|subtract(#1,#2)|multiply(#4,const_4)|power(#3,const_2)|subtract(#6,#5)|sqrt(#7)|add(#3,#8)|divide(#9,const_2)|add(n0,#10) | let a and b be the two sides of the triangle such that a is longer than b . the statement ` ` the hypotenuse of a right triangle is 2 centimeters more than the longer side of the triangle ' ' may be fomulated by h = a + 2 or a = h - 2 the statement ` ` the shorter side of the triangle is 7 centimeters less than the longer side ' ' may be formulated . b = a - 7 or b = ( h - 2 ) - 7 = h - 9 we now use pythagora ' s theorem to write a third equation h 2 = a 2 + b 2 substitute a by h - 2 and b by h - 9 in the above equation to obtain an equation in one variable only . h 2 = ( h - 2 ) 2 + ( h - 9 ) 2 simplify and rewrite the above equation in standard form . h 2 - 22 h + 85 = 0 solve for h . h = 5 and h = 17 . only the solution h = 17 gives a and b positive and it is the length of the hypotenuse of the triangle . answer a | geometry |
math_qa__pyJcTA0HA5qANY0N | How long does a train 120 m long running at the speed of 70 km/hr takes to cross a bridge 145 m length? Choose the correct choice from the following answers: A) 13.9 sec B) 12.1 sec C) 17.9 sec D) 13.9 sec E) 47.98 sec | <gadget id="calculator">120 + 145</gadget>
<output>265</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">70 * (5/18)</gadget>
<output>175/9 = around 19.444444</output>
<gadget id="calculator">265 / (175/9)</gadget>
<output>477/35 = around 13.628571</output>
<result>D</result> | D | 13.9 | How long does a train 120 m long running at the speed of 70 km/hr takes to cross a bridge 145 m length? | {
"A": "13.9 sec",
"B": "12.1 sec",
"C": "17.9 sec",
"D": "13.9 sec",
"E": "47.98 sec"
} | divide(add(120, 145), multiply(70, const_0_2778)) | add(n0,n2)|multiply(n1,const_0_2778)|divide(#0,#1)| | "speed = 70 * 5 / 18 = 19 m / sec total distance covered = 120 + 145 = 265 m . required time = 265 / 19 = 13.9 sec . answer : d" | physics |
math_qa__UhLqpqVxbT0DQfh9 | A rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered.If the area of the field is 600 sq.ft, how many feet of fencing will be required ? Choices: A) 70 feet B) 52 feet C) 32 feet D) 12 feet E) 55 feet | <gadget id="calculator">600 / 30</gadget>
<output>20</output>
<gadget id="calculator">20 * 2</gadget>
<output>40</output>
<gadget id="calculator">40 + 30</gadget>
<output>70</output>
<result>A</result> | A | 70 | A rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered.If the area of the field is 600 sq.ft, how many feet of fencing will be required ? | {
"A": "70 feet",
"B": "52 feet",
"C": "32 feet",
"D": "12 feet",
"E": "55 feet"
} | add(multiply(divide(600, 30), const_2), 30) | divide(n1,n0)|multiply(#0,const_2)|add(n0,#1)| | "explanation : we are given with length and area , so we can find the breadth . as length * breadth = area = > 30 * breadth = 600 = > breadth = 20 feet area to be fenced = 2 b + l = 2 * 20 + 30 = 70 feet answer : option a" | geometry |
math_qa__xKrLJRGAWkeKRZyE | Two employees X and Y are paid a total of Rs. 560 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? Pick one
A) s . 254 B) s . 284 C) s . 290 D) s . 304 E) s . 380 | <gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">560 * 10</gadget>
<output>5_600</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">11 * 2</gadget>
<output>22</output>
<gadget id="calculator">5_600 / 22</gadget>
<output>2_800/11 = around 254.545455</output>
<result>A</result> | A | 254 | Two employees X and Y are paid a total of Rs. 560 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? | {
"A": "s . 254",
"B": "s . 284",
"C": "s . 290",
"D": "s . 304",
"E": "s . 380"
} | divide(multiply(560, multiply(add(const_1, const_4), const_2)), multiply(add(multiply(add(const_1, const_4), const_2), const_1), const_2)) | add(const_1,const_4)|multiply(#0,const_2)|add(#1,const_1)|multiply(n0,#1)|multiply(#2,const_2)|divide(#3,#4)| | "let the amount paid to x per week = x and the amount paid to y per week = y then x + y = 560 but x = 120 % of y = 120 y / 100 = 12 y / 10 ∴ 12 y / 10 + y = 560 ⇒ y [ 12 / 10 + 1 ] = 560 ⇒ 22 y / 10 = 560 ⇒ 22 y = 5600 ⇒ y = 5600 / 22 = rs . 254 ( approx ) a )" | general |
math_qa__tY4iaSHkNH44PkTE | Calculate the sum of first 28 natural numbers. Choices:
A) 426
B) 406
C) 401
D) 409
E) 405 | <gadget id="calculator">28 + 1</gadget>
<output>29</output>
<gadget id="calculator">28 / 2</gadget>
<output>14</output>
<gadget id="calculator">29 * 14</gadget>
<output>406</output>
<result>B</result> | B | 406 | Calculate the sum of first 28 natural numbers. | {
"A": "426",
"B": "406",
"C": "401",
"D": "409",
"E": "405"
} | multiply(add(28, const_1), divide(28, const_2)) | add(n0,const_1)|divide(n0,const_2)|multiply(#0,#1)| | "solution we know that ( 1 + 2 + 3 + . . . . . + 28 ) = n ( n + 1 ) / 2 therefore ( 1 + 2 + 3 + . . . . + 28 ) = ( 28 × 29 / 2 ) = 406 . answer b" | general |
math_qa__Vg7bI7esZQxbmyYy | Trapezoid JKLM in the x-y plane has coordinates J = (–2, –3), K = (–2, 1), L = (6, 7), and M = (6, –3). What is its perimeter? Choose the correct choice from the following
A) 32
B) 36
C) 38
D) 40
E) ( f ) 42 | <gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">10 + 4</gadget>
<output>14</output>
<gadget id="calculator">2 + 6</gadget>
<output>8</output>
<gadget id="calculator">14 + 8</gadget>
<output>22</output>
<gadget id="calculator">7 + 3</gadget>
<output>10</output>
<gadget id="calculator">22 + 10</gadget>
<output>32</output>
<result>A</result> | A | 32 | Trapezoid JKLM in the x-y plane has coordinates J = (–2, –3), K = (–2, 1), L = (6, 7), and M = (6, –3). What is its perimeter? | {
"A": "32",
"B": "36",
"C": "38",
"D": "40",
"E": "( f ) 42"
} | add(add(add(const_10, add(1, 3)), add(2, 6)), add(7, 3)) | add(n1,n3)|add(n0,n4)|add(n1,n5)|add(#0,const_10)|add(#3,#1)|add(#4,#2)| | "jk = 4 lm = 10 kl = using distance formula 10 jm = using distance formula 8 sum of all is 32 a" | physics |
math_qa__p3D2V7cqJx9xpvH0 | The C.P of 8 books is equal to the S.P of 16 books. Find his gain% or loss%?
Choose the correct option
A) 60 % B) 50 % C) 70 % D) 90 % E) 55 % | <gadget id="calculator">8 / 16</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 - (1/2)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 100</gadget>
<output>50</output>
<result>B</result> | B | 50 | The C.P of 8 books is equal to the S.P of 16 books. Find his gain% or loss%? | {
"A": "60 %",
"B": "50 %",
"C": "70 %",
"D": "90 %",
"E": "55 %"
} | multiply(subtract(const_1, divide(8, 16)), const_100) | divide(n0,n1)|subtract(const_1,#0)|multiply(#1,const_100)| | "explanation : 8 cp = 16 sp 16 - - - 8 cp loss 100 - - - ? = > 50 % loss answer : b" | gain |
math_qa__KQ8tYFKJGsLg8EVW | A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 5000 as profit , what is their total profit?
Choose the correct option:
A) 28000
B) 30000
C) 32000
D) 35000
E) none of these | <gadget id="calculator">1 * 1</gadget>
<output>1</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">6 + 1</gadget>
<output>7</output>
<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">5_000 / (1/7)</gadget>
<output>35_000</output>
<result>D</result> | D | 35,000 | A & B started a partnership business. A's investment was thrice the investment of B and the period of his investment was two times the period of investments of B. If B received Rs 5000 as profit , what is their total profit? | {
"A": "28000",
"B": "30000",
"C": "32000",
"D": "35000",
"E": "none of these"
} | divide(5000, divide(multiply(const_1, const_1), add(multiply(const_3, const_2), multiply(const_1, const_1)))) | multiply(const_1,const_1)|multiply(const_2,const_3)|add(#1,#0)|divide(#0,#2)|divide(n0,#3)| | "explanation : suppose b ' s investment = x . then a ' s investment = 3 x suppose bs period of investment = y , then a ' s period of investment = 2 y a : b = 3 x * 2 y : xy = 6 : 1 total profit * 1 / 7 = 5000 = > total profit = 5000 * 7 = 35000 . answer : option d" | general |
math_qa__IkH643hjjeYkiYGR | A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 1 day. For how many number of days should A and C should work together to complete the remaining work ? Choose the correct option: A) 1 / 7 B) 2 / 7 C) 3 / 7 D) 4 / 7 E) 5 / 7 | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/6) + (1/8)</gadget>
<output>7/24 = around 0.291667</output>
<result>B</result> | B | 0.285714 | A can do a work in 6 days , B can do a work in 8 days and C can do it in 12 days. B left work after 1 day. For how many number of days should A and C should work together to complete the remaining work ? | {
"A": "1 / 7",
"B": "2 / 7",
"C": "3 / 7",
"D": "4 / 7",
"E": "5 / 7"
} | add(divide(1, 6), divide(1, 8)) | divide(n3,n0)|divide(n3,n1)|add(#0,#1) | b work 1 / 8 * 1 = 1 / 8 remaining work = 1 - 1 / 8 = 7 / 8 a and c work together = 1 / 6 + 1 / 12 = 3 / 12 = 1 / 4 take reciprocal 7 / 8 * remaining work = 8 / 7 * 1 / 4 = 2 / 7 answer : b | physics |
math_qa__LGTvTY4jdMPXVNe3 | The ratio by weight, measured in pounds, of books to clothes to electronics in a suitcase initially stands at 7:4:3. Someone removes 6 pounds of clothing from the suitcase, thereby doubling the ratio of books to clothes. How many pounds do the electronics in the suitcase weigh? Choose the correct choice from the following choices.
A) 1 B) 3 C) 5 D) 7 E) 9 | <gadget id="calculator">7 + 4</gadget>
<output>11</output>
<gadget id="calculator">11 + 3</gadget>
<output>14</output>
<gadget id="calculator">14 * 6</gadget>
<output>84</output>
<gadget id="calculator">-84</gadget>
<output>-84</output>
<gadget id="calculator">14 * 2</gadget>
<output>28</output>
<gadget id="calculator">14 * 4</gadget>
<output>56</output>
<gadget id="calculator">28 - 56</gadget>
<output>-28</output>
<gadget id="calculator">(-84) / (-28)</gadget>
<output>3</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<result>E</result> | E | 9 | The ratio by weight, measured in pounds, of books to clothes to electronics in a suitcase initially stands at 7:4:3. Someone removes 6 pounds of clothing from the suitcase, thereby doubling the ratio of books to clothes. How many pounds do the electronics in the suitcase weigh? | {
"A": "1",
"B": "3",
"C": "5",
"D": "7",
"E": "9"
} | multiply(3, divide(negate(multiply(add(add(7, 4), 3), 6)), subtract(multiply(add(add(7, 4), 3), const_2), multiply(add(add(7, 4), 3), 4)))) | add(n0,n1)|add(n2,#0)|multiply(n3,#1)|multiply(#1,const_2)|multiply(n1,#1)|negate(#2)|subtract(#3,#4)|divide(#5,#6)|multiply(n2,#7)| | "the weights of the items in the suitcase are 7 k , 4 k , and 3 k . if removing 6 pounds of clothes doubles the ratio of books to clothes , then 6 pounds represents half the weight of the clothes . 2 k = 6 pounds and then k = 3 pounds . the electronics weigh 3 ( 3 ) = 9 pounds . the answer is e ." | other |
math_qa__u6ml8DPAzZUx9SaK | A bag consists of 50 marbles, of which 5 are blue, 9 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white? Choose the correct choice from the following answers:
A) 3 / 4
B) 2 / 4
C) 1 / 4
D) 1 / 8
E) 9 / 10 | <gadget id="calculator">5 + 9</gadget>
<output>14</output>
<gadget id="calculator">50 - 14</gadget>
<output>36</output>
<gadget id="calculator">36 + 9</gadget>
<output>45</output>
<gadget id="calculator">45 / 50</gadget>
<output>9/10 = around 0.9</output>
<result>E</result> | E | 0.9 | A bag consists of 50 marbles, of which 5 are blue, 9 are red, and the remainder are white. If Lisa is to select a marble from the bag at random, what is the probability that the marble will be red or white? | {
"A": "3 / 4",
"B": "2 / 4",
"C": "1 / 4",
"D": "1 / 8",
"E": "9 / 10"
} | divide(add(subtract(50, add(5, 9)), 9), 50) | add(n1,n2)|subtract(n0,#0)|add(n2,#1)|divide(#2,n0)| | "bag consists of 50 marbles , of which 5 are blue , 9 are red remainder are white . so , white = 50 - 5 - 9 = 36 . probability that the marble will be red or white = probability that the marble will be red + probability that the marble will be white probability that the marble will be red or white = 9 / 50 + 36 / 50 = 45 / 50 = 9 / 10 hence , answer will be e ." | probability |
math_qa__sQf0sUwhxQgv5Avs | For the positive integers x, x + 2, x + 4, x + 7, and x + 22, the mean is how much greater than the median? Choose the correct choice from the following answers
A) 0
B) 1
C) 2
D) 3
E) 7 | <gadget id="calculator">2 + 4</gadget>
<output>6</output>
<gadget id="calculator">6 + 7</gadget>
<output>13</output>
<gadget id="calculator">13 + 22</gadget>
<output>35</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">35 / 5</gadget>
<output>7</output>
<gadget id="calculator">7 - 4</gadget>
<output>3</output>
<result>D</result> | D | 3 | For the positive integers x, x + 2, x + 4, x + 7, and x + 22, the mean is how much greater than the median? | {
"A": "0",
"B": "1",
"C": "2",
"D": "3",
"E": "7"
} | subtract(divide(add(add(add(2, 4), 7), 22), add(const_4, const_1)), 4) | add(n0,n1)|add(const_1,const_4)|add(n2,#0)|add(n3,#2)|divide(#3,#1)|subtract(#4,n1) | mean = ( x + x + 2 + x + 4 + x + 7 + x + 22 ) / 5 = ( 5 x + 35 ) / 5 = x + 7 median = x + 4 thus mean - median = x + 7 - ( x + 4 ) = 3 answer = d | general |
math_qa__I4dObcfhovs5ix7x | Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan?
Choose one:
A) 398 km
B) 892 km
C) 387 km
D) 300 km
E) 230 km | <gadget id="calculator">2 * 30</gadget>
<output>60</output>
<gadget id="calculator">1 / 60</gadget>
<output>1/60 = around 0.016667</output>
<gadget id="calculator">25 * 2</gadget>
<output>50</output>
<gadget id="calculator">1 / 50</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">(1/60) + (1/50)</gadget>
<output>11/300 = around 0.036667</output>
<gadget id="calculator">1 / (11/300)</gadget>
<output>300/11 = around 27.272727</output>
<gadget id="calculator">(300/11) * 11</gadget>
<output>300</output>
<result>D</result> | D | 300 | Pavan travelled for 11 hours. He covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph. Find the distance travelled by Pavan? | {
"A": "398 km",
"B": "892 km",
"C": "387 km",
"D": "300 km",
"E": "230 km"
} | multiply(inverse(add(inverse(multiply(const_2, 30)), inverse(multiply(25, const_2)))), 11) | multiply(n1,const_2)|multiply(n2,const_2)|inverse(#0)|inverse(#1)|add(#2,#3)|inverse(#4)|multiply(n0,#5)| | "let the distance travelled be x km . total time = ( x / 2 ) / 30 + ( x / 2 ) / 25 = 11 = > x / 60 + x / 50 = 11 = > ( 5 x + 6 x ) / 300 = 11 = > x = 300 km answer : d" | physics |
math_qa__eiCVqdIJuKpMOdNc | 3/4 of 1/2 of 2/5 of 5100 = ? Options:
A) 392 B) 229 C) 765 D) 493 E) 540 | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(3/4) * (1/2)</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(3/8) * (2/5)</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">(3/20) * 5_100</gadget>
<output>765</output>
<result>C</result> | C | 765 | 3/4 of 1/2 of 2/5 of 5100 = ? | {
"A": "392",
"B": "229",
"C": "765",
"D": "493",
"E": "540"
} | multiply(multiply(multiply(divide(3, 4), divide(1, 2)), divide(2, 5)), 5100) | divide(n3,n5)|divide(n0,n1)|divide(n2,n3)|multiply(#1,#2)|multiply(#0,#3)|multiply(n6,#4)| | "c 765 ? = 5100 * ( 2 / 5 ) * ( 1 / 2 ) * ( 3 / 4 ) = 765" | general |
math_qa__9d5w5pEKokMEfLOY | In order to obtain an income of Rs. 900 from 20% stock at Rs. 102, one must make an investment of
Choose the correct answer
A) rs . 6000 B) rs . 4590 C) rs . 4560 D) rs . 4500 E) rs . 4570 | <gadget id="calculator">102 / 20</gadget>
<output>51/10 = around 5.1</output>
<gadget id="calculator">(51/10) * 900</gadget>
<output>4_590</output>
<result>B</result> | B | 4,590 | In order to obtain an income of Rs. 900 from 20% stock at Rs. 102, one must make an investment of | {
"A": "rs . 6000",
"B": "rs . 4590",
"C": "rs . 4560",
"D": "rs . 4500",
"E": "rs . 4570"
} | multiply(divide(102, 20), 900) | divide(n2,n1)|multiply(n0,#0)| | "explanation : market value = rs . 102 . required income = rs . 900 . here face value is not given . take face value as rs . 100 if it is not given in the question to obtain rs . 20 ( ie , 20 % of the face value 100 ) , investment = rs . 102 to obtain rs . 900 , investment = 102 / 20 ã — 900 = rs . 4590 answer : option b" | gain |
math_qa__KNV4DyJwHUZnmWFq | An investment compounds annually at an interest rate of 33.34% What is the smallest investment period by which time the investment will more than triple in value?
Select the correct option
A) 1 B) 2 C) 3 D) 5 E) 4 | <gadget id="calculator">log(3)</gadget>
<output>log(3) = around 1.098612</output>
<gadget id="calculator">33.34 / 100</gadget>
<output>0.3334</output>
<gadget id="calculator">1 + 0.3334</gadget>
<output>1.3334</output>
<gadget id="calculator">log(1.3334)</gadget>
<output>0.287732</output>
<gadget id="calculator">log(3) / 0.287732</gadget>
<output>3.47545632741579*log(3) = around 3.818179</output>
<gadget id="calculator">floor(3.47545632741579*log(3))</gadget>
<output>3</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<result>E</result> | E | 4 | An investment compounds annually at an interest rate of 33.34% What is the smallest investment period by which time the investment will more than triple in value? | {
"A": "1",
"B": "2",
"C": "3",
"D": "5",
"E": "4"
} | add(floor(divide(log(const_3), log(add(const_1, divide(33.34, const_100))))), const_1) | divide(n0,const_100)|log(const_3)|add(#0,const_1)|log(#2)|divide(#1,#3)|floor(#4)|add(#5,const_1)| | "assume initial amount is x annual interest is 34.1 % so after 1 year the amount will become x * ( 100 + 33.34 ) / 100 = > x * 4 / 3 now we need to find n for x * ( 4 / 3 ) ^ n = 3 x or in other words n = 4 e" | gain |
math_qa__9rDpSh9WWxqdccgz | Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120? Choose the correct choice from the following answers
A) 1000 B) 3889 C) 8908 D) 3780 E) 2709 | <gadget id="calculator">2 * 5</gadget>
<output>10</output>
<gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">12 / 5</gadget>
<output>12/5 = around 2.4</output>
<gadget id="calculator">(12/5) * 5</gadget>
<output>12</output>
<gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">(3/25) + 1</gadget>
<output>28/25 = around 1.12</output>
<gadget id="calculator">1_120 / (28/25)</gadget>
<output>1_000</output>
<result>A</result> | A | 1,000 | Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1120? | {
"A": "1000",
"B": "3889",
"C": "8908",
"D": "3780",
"E": "2709"
} | divide(1120, add(divide(multiply(divide(add(multiply(2, 5), 2), 5), 5), const_100), const_1)) | multiply(n1,n3)|add(n1,#0)|divide(#1,n3)|multiply(n0,#2)|divide(#3,const_100)|add(#4,const_1)|divide(n4,#5)| | "1120 = p [ 1 + ( 5 * 12 / 5 ) / 100 ] p = 1000 answer : a" | general |
math_qa__RGXvmWxDEtyEn9KX | The radius of a cylindrical vessel is 7cm and height is 5cm. Find the whole surface of the cylinder? Choose the correct choice from the following answers:
A) 281 B) 528 C) 440 D) 767 E) 1981 | <gadget id="calculator">2 * pi * 7 * (7 + 5)</gadget>
<output>168*pi = around 527.787566</output>
<result>B</result> | B | 528 | The radius of a cylindrical vessel is 7cm and height is 5cm. Find the whole surface of the cylinder? | {
"A": "281",
"B": "528",
"C": "440",
"D": "767",
"E": "1981"
} | surface_cylinder(7, 5) | surface_cylinder(n0,n1)| | "r = 7 h = 5 2 π r ( h + r ) = 2 * 22 / 7 * 7 ( 12 ) = 528 answer : b" | geometry |
math_qa__P9oBYymGpSNtDjhk | A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 5400 interest. The principal amount borrowed by him was. Pick.
A) rs 14000
B) rs 15000
C) rs 16000
D) rs 17000
E) none of these | <gadget id="calculator">5_400 * 100</gadget>
<output>540_000</output>
<gadget id="calculator">12 * 3</gadget>
<output>36</output>
<gadget id="calculator">540_000 / 36</gadget>
<output>15_000</output>
<result>B</result> | B | 15,000 | A man took a loan at rate of 12% per annum simple interest. After 3 years he had to pay 5400 interest. The principal amount borrowed by him was. | {
"A": "rs 14000",
"B": "rs 15000",
"C": "rs 16000",
"D": "rs 17000",
"E": "none of these"
} | divide(multiply(5400, const_100), multiply(12, 3)) | multiply(n2,const_100)|multiply(n0,n1)|divide(#0,#1)| | "explanation : s . i . = p ∗ r ∗ t / 100 = > p = s . i . ∗ 100 / r ∗ t = > p = 5400 ∗ 100 / 12 ∗ 3 = rs 15000 option b" | gain |
math_qa__PLCxDM3vJTZDo4QM | In a village there are 150 men and 90 women in present time.if in next year population will be P=(a^2 +b^2)^1/2 , and in every year men are reduces 12%.what is population of after 2 year.
Answers:
A) 139
B) 141
C) 142
D) 143
E) 144 | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 - (1/12)</gadget>
<output>11/12 = around 0.916667</output>
<gadget id="calculator">(11/12) * 150</gadget>
<output>275/2 = around 137.5</output>
<gadget id="calculator">(275/2) ** 2</gadget>
<output>75_625/4 = around 18_906.25</output>
<gadget id="calculator">150 ** 2</gadget>
<output>22_500</output>
<gadget id="calculator">90 ** 2</gadget>
<output>8_100</output>
<gadget id="calculator">22_500 + 8_100</gadget>
<output>30_600</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">30_600 ** (1/2)</gadget>
<output>30*sqrt(34) = around 174.928557</output>
<gadget id="calculator">(30*sqrt(34)) - (275/2)</gadget>
<output>-275/2 + 30*sqrt(34) = around 37.428557</output>
<gadget id="calculator">(-275/2 + 30*sqrt(34)) ** 2</gadget>
<output>(-275/2 + 30*sqrt(34))**2 = around 1_400.896868</output>
<gadget id="calculator">(75_625/4) + ((-275/2 + 30*sqrt(34))**2)</gadget>
<output>(-275/2 + 30*sqrt(34))**2 + 75625/4 = around 20_307.146868</output>
<gadget id="calculator">((-275/2 + 30*sqrt(34))**2 + 75625/4) ** (1/2)</gadget>
<output>sqrt((-275/2 + 30*sqrt(34))**2 + 75625/4) = around 142.503147</output>
<result>A</result> | A | 139 | In a village there are 150 men and 90 women in present time.if in next year population will be P=(a^2 +b^2)^1/2 , and in every year men are reduces 12%.what is population of after 2 year. | {
"A": "139",
"B": "141",
"C": "142",
"D": "143",
"E": "144"
} | power(add(power(multiply(subtract(1, divide(1, 12)), 150), 2), power(subtract(power(add(power(150, 2), power(90, 2)), divide(1, 2)), multiply(subtract(1, divide(1, 12)), 150)), 2)), divide(1, 2)) | divide(n4,n6)|divide(n4,n2)|power(n0,n2)|power(n1,n2)|add(#2,#3)|subtract(n4,#0)|multiply(n0,#5)|power(#4,#1)|power(#6,n2)|subtract(#7,#6)|power(#9,n2)|add(#8,#10)|power(#11,#1)| | "next year total population = [ 150 ^ 2 + 90 ^ 2 ] ^ . 5 = 174.92 = 175 man decreased by 11 % so total man = 150 * . 88 = 132 women will be = 175 - 132 = 43 so population after two years = [ 135 ^ 2 + 43 ^ 2 ] ^ . 5 = 138.8 = 139 so population after two year = 139 answer : a" | general |
math_qa__bAa64JuKqQXVqbJs | Jenny has recently moved house and is working out her optimal commute. She can take an indirect route which involves taking a bus for 1 mile and then walk 0.75 miles. Or she can take a direct route and walk for 1.5 miles and this takes her 30 minutes. What is the most amount time that the bus journey can take for Jenny to be indifferent between the two routes assuming travel time is her only concern? Pick one
A) 5 minutes B) 10 minutes C) 15 minutes D) 20 minutes E) 25 minutes | <gadget id="calculator">1.5 / 30</gadget>
<output>0.05</output>
<gadget id="calculator">0.75 / 0.05</gadget>
<output>15</output>
<gadget id="calculator">30 - 15</gadget>
<output>15</output>
<result>C</result> | C | 15 | Jenny has recently moved house and is working out her optimal commute. She can take an indirect route which involves taking a bus for 1 mile and then walk 0.75 miles. Or she can take a direct route and walk for 1.5 miles and this takes her 30 minutes. What is the most amount time that the bus journey can take for Jenny to be indifferent between the two routes assuming travel time is her only concern? | {
"A": "5 minutes",
"B": "10 minutes",
"C": "15 minutes",
"D": "20 minutes",
"E": "25 minutes"
} | subtract(30, divide(0.75, divide(1.5, 30))) | divide(n2,n3)|divide(n1,#0)|subtract(n3,#1) | if jenny can walk 1.5 miles in 30 minutes , then she can talk 0.75 miles in half the time i . e . 15 minutes . for jenny to be indifferent between the two routes , the two journeys must have the same travel time . the direct route has a travel time of 30 minutes ( walking ) . the indirect route has a travel time of 15 minutes ( walking ) plus the bus journey . for the two routes to be the same the bus journey must take 15 minutes ( 30 - 15 ) . answer : c | physics |
math_qa__VKinIXava30905iT | Seller selling an apple for Rs.15, a Seller loses 1/6th of what it costs him. The CP of the apple is? Choose the correct choice from the following options
A) 10
B) 12
C) 16
D) 18
E) 20 | <gadget id="calculator">15 + 1</gadget>
<output>16</output>
<result>C</result> | C | 16 | Seller selling an apple for Rs.15, a Seller loses 1/6th of what it costs him. The CP of the apple is? | {
"A": "10",
"B": "12",
"C": "16",
"D": "18",
"E": "20"
} | add(15, 1) | add(n0,n1)| | "sp = 15 loss = cp 16 loss = cp − sp = cp − 15 ⇒ cp 16 = cp − 15 ⇒ 15 cp 16 = 15 ⇒ cp 16 = 1 ⇒ cp = 16 c" | general |
math_qa__X1727t8fJM12dTX0 | If the volume of a cube is x^3 cubic units, what is the number of square units in the surface area of the cube? Choose the correct choice from the following answers
A) x ^ 2 B) x ^ 3 C) x ^ 6 D) 6 x ^ 2 E) 6 x ^ 3 | <gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">1 * 1</gadget>
<output>1</output>
<gadget id="calculator">6 * 1</gadget>
<output>6</output>
<result>D</result> | D | 6 | If the volume of a cube is x^3 cubic units, what is the number of square units in the surface area of the cube? | {
"A": "x ^ 2",
"B": "x ^ 3",
"C": "x ^ 6",
"D": "6 x ^ 2",
"E": "6 x ^ 3"
} | multiply(multiply(const_2, const_3), multiply(const_1, const_1)) | multiply(const_2,const_3)|multiply(const_1,const_1)|multiply(#0,#1) | the question basically asks you to calculate the surface area of the cube . volume of the cube = x ^ 3 this means each side of the cube = x hence area of each side = x ^ 2 total surfaces in a cube = 6 total surface area = 6 * x 2 correct option : d | geometry |
math_qa__Bs0RbY8uDdnOzk9O | If a town of 35,000 people is growing at a rate of approx. 1% per year, the population of the town in 5 years will be closest to? Choose the correct choice from the following options.
A) a . 36000 B) b . 37000 C) c . 38000 D) d . 39000 E) e . 40000 | <gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">5 * 7</gadget>
<output>35</output>
<gadget id="calculator">35 * 100</gadget>
<output>3_500</output>
<gadget id="calculator">7 + 3</gadget>
<output>10</output>
<gadget id="calculator">3_500 * 10</gadget>
<output>35_000</output>
<result>A</result> | A | 36,000 | If a town of 35,000 people is growing at a rate of approx. 1% per year, the population of the town in 5 years will be closest to? | {
"A": "a . 36000",
"B": "b . 37000",
"C": "c . 38000",
"D": "d . 39000",
"E": "e . 40000"
} | multiply(multiply(multiply(5, add(const_3, const_4)), const_100), add(add(const_3, const_4), const_3)) | add(const_3,const_4)|add(#0,const_3)|multiply(n2,#0)|multiply(#2,const_100)|multiply(#1,#3) | 1 % is quite small and hence the answer is a ) | gain |
math_qa__UwDsDzmJGpYNiDVn | There are 12 slate rocks, 17 pumice rocks, and 8 granite rocks randomly distributed in a certain field. If 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks? Pick one:
A) 5 / 36 B) 7 / 64 C) 9 / 83 D) 11 / 111 E) 13 / 135 | <gadget id="calculator">12 + 17</gadget>
<output>29</output>
<gadget id="calculator">29 + 8</gadget>
<output>37</output>
<gadget id="calculator">12 / 37</gadget>
<output>12/37 = around 0.324324</output>
<gadget id="calculator">12 - 1</gadget>
<output>11</output>
<gadget id="calculator">37 - 1</gadget>
<output>36</output>
<gadget id="calculator">11 / 36</gadget>
<output>11/36 = around 0.305556</output>
<gadget id="calculator">(12/37) * (11/36)</gadget>
<output>11/111 = around 0.099099</output>
<result>D</result> | D | 0.099099 | There are 12 slate rocks, 17 pumice rocks, and 8 granite rocks randomly distributed in a certain field. If 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks? | {
"A": "5 / 36",
"B": "7 / 64",
"C": "9 / 83",
"D": "11 / 111",
"E": "13 / 135"
} | multiply(divide(12, add(add(12, 17), 8)), divide(subtract(12, const_1), subtract(add(add(12, 17), 8), const_1))) | add(n0,n1)|subtract(n0,const_1)|add(n2,#0)|divide(n0,#2)|subtract(#2,const_1)|divide(#1,#4)|multiply(#3,#5)| | "12 / 37 * 11 / 36 = 11 / 111 the answer is d ." | other |
math_qa__QLABlJRmLh1ta7w7 | How many words, with or without meaning, can be formed using all letters of the word RED using each letter exactly once?
Choose the correct choice from the following:
A) 6
B) 7
C) 8
D) 9
E) 10 | <gadget id="calculator">factorial(3)</gadget>
<output>6</output>
<result>A</result> | A | 6 | How many words, with or without meaning, can be formed using all letters of the word RED using each letter exactly once? | {
"A": "6",
"B": "7",
"C": "8",
"D": "9",
"E": "10"
} | factorial(const_3) | factorial(const_3) | the word red has exactly 3 letters which are all different . therefore the number of words that can be formed = number of permutations of 3 letters taken all at a time . = p ( 3 , 3 ) = 3 ! = 3 x 2 × 1 = 6 answer : a | general |
math_qa__SZpV9MCSaXxqF3mn | A and B can do a piece of work in 2 days. With the help of C they finish the work in 1 days. C alone can do that piece of work in? Pick
A) 1.5 days B) 4 days C) 3 days D) 1 day E) 2 days | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 - (1/2)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / (1/2)</gadget>
<output>2</output>
<result>E</result> | E | 2 | A and B can do a piece of work in 2 days. With the help of C they finish the work in 1 days. C alone can do that piece of work in? | {
"A": "1.5 days",
"B": "4 days",
"C": "3 days",
"D": "1 day",
"E": "2 days"
} | inverse(subtract(const_1, divide(1, 2))) | divide(n1,n0)|subtract(const_1,#0)|inverse(#1) | c = 1 / 1 – 1 / 2 = 1 / 2 = > 2 days answer : e | physics |
math_qa__MItJ648jV0G2KfMB | A car gets 32 miles to the gallon. If it is modified to use a solar panel, it will use only 80 percent as much fuel as it does now. If the fuel tank holds 12 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified? Choose the correct choice from the following answers:
A) 84 B) 88 C) 92 D) 96 E) 100 | <gadget id="calculator">32 / 80</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 100</gadget>
<output>40</output>
<gadget id="calculator">40 * 12</gadget>
<output>480</output>
<gadget id="calculator">32 * 12</gadget>
<output>384</output>
<gadget id="calculator">480 - 384</gadget>
<output>96</output>
<result>D</result> | D | 96 | A car gets 32 miles to the gallon. If it is modified to use a solar panel, it will use only 80 percent as much fuel as it does now. If the fuel tank holds 12 gallons, how many more miles will the car be able to travel, per full tank of fuel, after it has been modified? | {
"A": "84",
"B": "88",
"C": "92",
"D": "96",
"E": "100"
} | subtract(multiply(multiply(divide(32, 80), const_100), 12), multiply(32, 12)) | divide(n0,n1)|multiply(n0,n2)|multiply(#0,const_100)|multiply(n2,#2)|subtract(#3,#1) | originally , the distance the car could go on a full tank was 12 * 32 = 384 miles . after it has been modified , the car can go 32 / 0.8 = 40 miles per gallon . on a full tank , the car can go 12 * 40 = 480 miles , thus 96 miles more . the answer is d . | physics |
math_qa__GNFwsTESlxF0WkO1 | John bought 9.25m of cloth for $434.75. Find the cost price per metre.
Choose the correct choice from the following answers.
A) 46 B) 47 C) 58 D) 56 E) 54 | <gadget id="calculator">434.75 / 9.25</gadget>
<output>47</output>
<result>B</result> | B | 47 | John bought 9.25m of cloth for $434.75. Find the cost price per metre. | {
"A": "46",
"B": "47",
"C": "58",
"D": "56",
"E": "54"
} | divide(434.75, 9.25) | divide(n1,n0)| | "cloth bought by john = 9.25 m cost of 9.25 m = $ 434.75 cost per metre = 434.75 ÷ 9.25 the cost of the cloth per metre = $ 47 answers : b" | physics |
math_qa__9PxBPiwpKq1O878w | The average of 60 results is 40 and the average of other 40 results is 60 . what is the average of all the results? Choose the correct choice: A) 24 B) 25 C) 48 D) 50 E) none | <gadget id="calculator">60 * 40</gadget>
<output>2_400</output>
<gadget id="calculator">40 * 60</gadget>
<output>2_400</output>
<gadget id="calculator">2_400 + 2_400</gadget>
<output>4_800</output>
<gadget id="calculator">60 + 40</gadget>
<output>100</output>
<gadget id="calculator">4_800 / 100</gadget>
<output>48</output>
<result>C</result> | C | 48 | The average of 60 results is 40 and the average of other 40 results is 60 . what is the average of all the results? | {
"A": "24",
"B": "25",
"C": "48",
"D": "50",
"E": "none"
} | divide(add(multiply(60, 40), multiply(40, 60)), add(60, 40)) | add(n0,n1)|multiply(n0,n1)|add(#1,#1)|divide(#2,#0)| | "answer sum of 100 result = sum of 60 result + sum of 40 result . = 60 x 40 + 40 x 60 = 4800 / 100 correct option : c" | general |
math_qa__wj0UVU1jCPQzgpHc | A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 4 and subtract 4 times my age 3 years ago and you will know how old I am." What was the age of the person ? Choose the correct choice from the following answers:
A) 18
B) 92
C) 27
D) 24
E) 19 | <gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">12 + 12</gadget>
<output>24</output>
<result>D</result> | D | 24 | A person was asked to state his age in years. His reply was , "Take my age 3 years hence, multiply it by 4 and subtract 4 times my age 3 years ago and you will know how old I am." What was the age of the person ? | {
"A": "18",
"B": "92",
"C": "27",
"D": "24",
"E": "19"
} | add(multiply(3, 4), multiply(3, 4)) | multiply(n0,n1)|add(#0,#0) | explanation : let the present age of person be x years . then , 4 ( x + 3 ) - 4 ( x - 3 ) = x < = > ( 4 x + 12 ) - ( 4 x - 12 ) = x < = > x = 24 . . answer : d | general |
math_qa__m28SQ1gfxwycFVTE | 100kg of an alloy A is mixed with 200 kg of alloy B. If alloy A has lead and tin in the ratio 5:3 and alloy B has tin and copper in the ratio 2:3, then the amount of tin in the new alloy is? Choose the correct choice from the following answers
A) 100.6 kg B) 120.3 kg C) 117.5 kg D) 110.8 kg E) 114 kg | <gadget id="calculator">5 + 3</gadget>
<output>8</output>
<gadget id="calculator">100 / 8</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) * 3</gadget>
<output>75/2 = around 37.5</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">200 / 5</gadget>
<output>40</output>
<gadget id="calculator">40 * 2</gadget>
<output>80</output>
<gadget id="calculator">(75/2) + 80</gadget>
<output>235/2 = around 117.5</output>
<result>C</result> | C | 117.5 | 100kg of an alloy A is mixed with 200 kg of alloy B. If alloy A has lead and tin in the ratio 5:3 and alloy B has tin and copper in the ratio 2:3, then the amount of tin in the new alloy is? | {
"A": "100.6 kg",
"B": "120.3 kg",
"C": "117.5 kg",
"D": "110.8 kg",
"E": "114 kg"
} | add(multiply(divide(100, add(5, 3)), 3), multiply(divide(200, add(2, 3)), 2)) | add(n2,n3)|add(n4,n5)|divide(n0,#0)|divide(n1,#1)|multiply(n3,#2)|multiply(n4,#3)|add(#4,#5)| | "quantity of tin in 100 kg of a = 100 * 3 / 8 = 37.5 kg quantity of tin in 200 kg of b = 200 * 2 / 5 = 80 kg quantity of tin in the new alloy = 37.5 + 80 = 117.5 kg answer is c" | other |
math_qa__JGa6ghmIjztNVzkl | A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 1/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 30 vehicles that are not Speedsters, how many Speedster convertibles are there? Choose the most appropriate option:
A) 13 B) 18 C) 12 D) 15 E) 17 | <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">30 / (2/3)</gadget>
<output>45</output>
<gadget id="calculator">45 * (1/3)</gadget>
<output>15</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">15 * (4/5)</gadget>
<output>12</output>
<result>C</result> | C | 12 | A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 1/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 30 vehicles that are not Speedsters, how many Speedster convertibles are there? | {
"A": "13",
"B": "18",
"C": "12",
"D": "15",
"E": "17"
} | multiply(multiply(divide(30, subtract(const_1, divide(1, 3))), divide(1, 3)), divide(4, 5)) | divide(n2,n3)|divide(n0,n1)|subtract(const_1,#1)|divide(n4,#2)|multiply(#3,#1)|multiply(#0,#4)| | "total vehicle = 1 / 3 of speedster + 2 / 3 of others . speedster convertibles = 1 / 3 total vehicle * 4 / 5 given : 2 / 3 constitutes 30 vehicles . hence 1 / 3 constitutes 15 speedster convertibls = 15 * 4 / 5 = 12 c" | physics |
math_qa__haOGxg24sSENKPhU | A group of 55 adults and 70 children go for trekking. If there is meal for either 70 adults or 90 children and if 35 adults have their meal, find the total number of children that can be catered with the remaining food. Choose the correct choice from the following answers:
A) 33
B) 54
C) 18
D) 45
E) 01 | <gadget id="calculator">70 - 35</gadget>
<output>35</output>
<gadget id="calculator">90 / 70</gadget>
<output>9/7 = around 1.285714</output>
<gadget id="calculator">35 * (9/7)</gadget>
<output>45</output>
<result>D</result> | D | 45 | A group of 55 adults and 70 children go for trekking. If there is meal for either 70 adults or 90 children and if 35 adults have their meal, find the total number of children that can be catered with the remaining food. | {
"A": "33",
"B": "54",
"C": "18",
"D": "45",
"E": "01"
} | multiply(subtract(70, 35), divide(90, 70)) | divide(n3,n1)|subtract(n1,n4)|multiply(#0,#1)| | "explanation : as there is meal for 70 adults and 35 have their meal , the meal left can be catered to 35 adults . now , 70 adults = 90 children 7 adults = 9 children therefore , 35 adults = 45 children hence , the meal can be catered to 45 children . answer : d" | general |
math_qa__K8nQwuYEhXAgGNNt | The monthly rent of a shop of dimension 10feet × 10feet is Rs.1300. What is the annual rent per square foot of the shop? Options:
A) 43
B) 156
C) 68
D) 87
E) 92 | <gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">10 * 10</gadget>
<output>100</output>
<gadget id="calculator">1_300 / 100</gadget>
<output>13</output>
<gadget id="calculator">12 * 13</gadget>
<output>156</output>
<result>B</result> | B | 156 | The monthly rent of a shop of dimension 10feet × 10feet is Rs.1300. What is the annual rent per square foot of the shop? | {
"A": "43",
"B": "156",
"C": "68",
"D": "87",
"E": "92"
} | multiply(add(const_10, const_2), divide(1300, rectangle_area(10, 10))) | add(const_10,const_2)|rectangle_area(n0,n1)|divide(n2,#1)|multiply(#0,#2)| | "sol . monthly rent per square feet = 1300 / ( 10 * 10 ) = 13 & annual rent per square feet = 12 * 13 = 156 answer : b" | geometry |
math_qa__Y8CXLX7Tk8pdvlba | A candidate got 35% of the votes polled and he lost to his rival by 2280 votes. How many votes were cast?
Choose the correct option:
A) 7500 B) 3388 C) 2665 D) 2888 E) 7600 | <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_280 / (3/10)</gadget>
<output>7_600</output>
<result>E</result> | E | 7,600 | A candidate got 35% of the votes polled and he lost to his rival by 2280 votes. How many votes were cast? | {
"A": "7500",
"B": "3388",
"C": "2665",
"D": "2888",
"E": "7600"
} | divide(2280, 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 % - - - - - - - - - - 2280 100 % - - - - - - - - - ? = > 7600 answer : e" | gain |
math_qa__nEuIv3exUbK1FoEx | A and B start walking towards each other at 1pm at speed of 5kmph and 7kmph. They were initially 24km apart. At what time do they meet? Choose the correct answer:
A) 4 pm B) 6 pm C) 3 pm D) 10 pm E) 5 pm | <gadget id="calculator">5 + 7</gadget>
<output>12</output>
<gadget id="calculator">24 / 12</gadget>
<output>2</output>
<gadget id="calculator">1 + 2</gadget>
<output>3</output>
<result>C</result> | C | 3 | A and B start walking towards each other at 1pm at speed of 5kmph and 7kmph. They were initially 24km apart. At what time do they meet? | {
"A": "4 pm",
"B": "6 pm",
"C": "3 pm",
"D": "10 pm",
"E": "5 pm"
} | add(1, divide(24, add(5, 7))) | add(n1,n2)|divide(n3,#0)|add(n0,#1)| | "time of meeting = distance / relative speed = 24 / 7 + 5 = 24 / 12 = 2 hrs after 1 pm = 3 pm answer is c" | physics |
math_qa__w31nmnOxFenk89gB | A train running at the speed of 60 km/hr crosses a pole in 27 seconds. What is the length of the train? Choose the correct choice: A) 186 m B) 176 m C) 450 m D) 150 m E) 765 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) * 27</gadget>
<output>450</output>
<result>C</result> | C | 450 | A train running at the speed of 60 km/hr crosses a pole in 27 seconds. What is the length of the train? | {
"A": "186 m",
"B": "176 m",
"C": "450 m",
"D": "150 m",
"E": "765 m"
} | multiply(divide(multiply(60, const_1000), const_3600), 27) | 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 * 27 ) m = 450 m . answer : c" | physics |
math_qa__TKaVKMVvPqkKCagQ | Fresh grapes contain 75% by weight while dried grapes contain 25% water by weight. What is the weight of dry grapes available from 200 kg of fresh grapes?
Choose the most appropriate option:
A) 40.00 kg
B) 45.50 kg
C) 66.67 kg
D) 80.56 kg
E) 90.00 kg | <gadget id="calculator">100 - 75</gadget>
<output>25</output>
<gadget id="calculator">25 * 200</gadget>
<output>5_000</output>
<gadget id="calculator">5_000 / 100</gadget>
<output>50</output>
<gadget id="calculator">100 - 25</gadget>
<output>75</output>
<gadget id="calculator">50 / 75</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(2/3) * 100</gadget>
<output>200/3 = around 66.666667</output>
<result>C</result> | C | 66.67 | Fresh grapes contain 75% by weight while dried grapes contain 25% water by weight. What is the weight of dry grapes available from 200 kg of fresh grapes? | {
"A": "40.00 kg",
"B": "45.50 kg",
"C": "66.67 kg",
"D": "80.56 kg",
"E": "90.00 kg"
} | multiply(divide(divide(multiply(subtract(const_100, 75), 200), const_100), subtract(const_100, 25)), const_100) | subtract(const_100,n0)|subtract(const_100,n1)|multiply(n2,#0)|divide(#2,const_100)|divide(#3,#1)|multiply(#4,const_100)| | "from the question we know : 200 kg * 75 % = 150 kg of water in the fresh grapes 200 kg - 150 kg of water = 50 kg of non - water mass we are looking for the weight of the dry grapes ( x ) . since the question tells us that 25 % of the weight of the dry graps is water and we know that 50 kg is non - water mass we can set up the following equation : x = 1 / 4 ( x ) + 50 kg 3 / 4 ( x ) = 50 kg x = 66.67 kg answer - c" | gain |
math_qa__0xQb0i6Yo2uY5n2E | A man goes into a barbershop and gets a $15 haircut. He pays the barber with a $20 bill, but the barber doesn't have change because it is an especially slow day. The barber goes to the flower shop next to his own and trades the $20 bill for a $10 dollar bill and two $5 bills. Then he gives the man his $5 in change.
Later the lady from the flower shop confronts the barber and tells him that the $20 bill he gave her was counterfeit. The barber agrees and he gives the lady a different $20 bill.
Later that day he tries to figure out how much money he lost. What did he lose?
Choose the correct answer
A) $ 5 B) $ 10 C) $ 12 D) $ 15 E) $ 20 | <gadget id="calculator">20 - 15</gadget>
<output>5</output>
<result>A</result> | A | 5 | A man goes into a barbershop and gets a $15 haircut. He pays the barber with a $20 bill, but the barber doesn't have change because it is an especially slow day. The barber goes to the flower shop next to his own and trades the $20 bill for a $10 dollar bill and two $5 bills. Then he gives the man his $5 in change.
Later the lady from the flower shop confronts the barber and tells him that the $20 bill he gave her was counterfeit. The barber agrees and he gives the lady a different $20 bill.
Later that day he tries to figure out how much money he lost. What did he lose? | {
"A": "$ 5",
"B": "$ 10",
"C": "$ 12",
"D": "$ 15",
"E": "$ 20"
} | subtract(20, 15) | subtract(n1,n0) | he lost $ 5 . the lady from the flower shop gave him $ 20 in change , but eventually got $ 20 back . she broke even . the man who got the haircut gave the barber nothing ( except counterfeit money ) but got $ 5 back from the barber . so the barber lost only $ 5 , and gave a free haircut . | general |
math_qa__9nZ70pC73D2mHh4z | If the cost price of 72 articles is equal to the selling price of 60 articles, then what is the percent profit? Choose the correct choice from the following options:
A) 10 %
B) 15 %
C) 20 %
D) 25 %
E) 30 % | <gadget id="calculator">100 * 60</gadget>
<output>6_000</output>
<gadget id="calculator">6_000 / 72</gadget>
<output>250/3 = around 83.333333</output>
<gadget id="calculator">100 - (250/3)</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">(50/3) / (250/3)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">100 * (1/5)</gadget>
<output>20</output>
<result>C</result> | C | 20 | If the cost price of 72 articles is equal to the selling price of 60 articles, then what is the percent profit? | {
"A": "10 %",
"B": "15 %",
"C": "20 %",
"D": "25 %",
"E": "30 %"
} | multiply(const_100, divide(subtract(const_100, divide(multiply(const_100, 60), 72)), divide(multiply(const_100, 60), 72))) | multiply(n1,const_100)|divide(#0,n0)|subtract(const_100,#1)|divide(#2,#1)|multiply(#3,const_100)| | "let x be the cost price of one article . let y be the selling price of one article . 60 y = 72 x y = 1.2 x the answer is c ." | gain |
math_qa__ECtwfSOnOECp6ZPi | Of all the homes on Gotham Street, 1/3 are termite-ridden, and 5/8 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing? Choose the most appropriate option.
A) 1 / 3
B) 1 / 4
C) 1 / 5
D) 1 / 6
E) 1 / 8 | <gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">3 * 8</gadget>
<output>24</output>
<gadget id="calculator">3 / 24</gadget>
<output>1/8 = around 0.125</output>
<result>E</result> | E | 0.125 | Of all the homes on Gotham Street, 1/3 are termite-ridden, and 5/8 of these are collapsing. What fraction of the homes are termite-ridden, but NOT collapsing? | {
"A": "1 / 3",
"B": "1 / 4",
"C": "1 / 5",
"D": "1 / 6",
"E": "1 / 8"
} | divide(add(1, const_2.0), multiply(3, 8)) | add(n0,const_2.0)|multiply(n1,n3)|divide(#0,#1)| | "the fraction of homes which are termite - infested but not collapsing is 3 / 8 * 1 / 3 = 1 / 8 the answer is e ." | general |
math_qa__mirzb9EFlUchFRsF | Of the votes cast on a certain proposal, 68 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.)
Options: A) 300 B) 340 C) 380 D) 420 E) 460 | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 - (2/5)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) - (2/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">68 / (1/5)</gadget>
<output>340</output>
<result>B</result> | B | 340 | Of the votes cast on a certain proposal, 68 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.) | {
"A": "300",
"B": "340",
"C": "380",
"D": "420",
"E": "460"
} | divide(68, subtract(subtract(const_1, divide(40, const_100)), divide(40, const_100))) | divide(n1,const_100)|subtract(const_1,#0)|subtract(#1,#0)|divide(n0,#2)| | "let x be the total number of votes cast . 0.6 x = 0.4 x + 68 0.2 x = 68 x = 340 the answer is b ." | gain |
math_qa__4DN4JKXEFVMTLR9i | A box is in the shape of a semicircle with a radius of 12. What is the approximate perimeter of the semicircle? Choose the correct choice from the following answers
A) 54 B) 62 C) 25 D) 34 E) 60 | <gadget id="calculator">pi * 12</gadget>
<output>12*pi = around 37.699112</output>
<gadget id="calculator">2 * 12</gadget>
<output>24</output>
<gadget id="calculator">(12*pi) + 24</gadget>
<output>24 + 12*pi = around 61.699112</output>
<result>B</result> | B | 62 | A box is in the shape of a semicircle with a radius of 12. What is the approximate perimeter of the semicircle? | {
"A": "54",
"B": "62",
"C": "25",
"D": "34",
"E": "60"
} | add(multiply(const_pi, 12), multiply(const_2, 12)) | multiply(n0,const_pi)|multiply(n0,const_2)|add(#0,#1) | perimeter of a circle = 2 pi * r perimeter of a semicircle = pi * r + 2 r aprox perimiter = 3.14 * 12 + 2 * 12 = 61.68 approximately 62 answer b | geometry |
math_qa__dMHCQvtiRa7KaR0A | A certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays. Under this plan, the reduced rates X apply to what fraction of a week? Select the correct option
A) 1 / 2 B) 5 / 8 C) 9 / 14 D) 16 / 21 E) 9 / 10 | <gadget id="calculator">24 / 2</gadget>
<output>12</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">12 * 5</gadget>
<output>60</output>
<gadget id="calculator">24 * 2</gadget>
<output>48</output>
<gadget id="calculator">60 + 48</gadget>
<output>108</output>
<gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">24 * 7</gadget>
<output>168</output>
<gadget id="calculator">108 / 168</gadget>
<output>9/14 = around 0.642857</output>
<result>C</result> | C | 0.642857 | A certain electric-company plan offers customers reduced rates for electricity used between 8 p.m. and 8 a.m. weekdays and 24 hours a day Saturdays and Sundays. Under this plan, the reduced rates X apply to what fraction of a week? | {
"A": "1 / 2",
"B": "5 / 8",
"C": "9 / 14",
"D": "16 / 21",
"E": "9 / 10"
} | divide(add(multiply(divide(24, const_2), add(const_2, const_3)), multiply(24, const_2)), multiply(24, add(const_3, const_4))) | add(const_2,const_3)|add(const_3,const_4)|divide(n2,const_2)|multiply(n2,const_2)|multiply(#0,#2)|multiply(n2,#1)|add(#4,#3)|divide(#6,#5)| | "number of hours between 8 pm to 8 am = 12 number of hours with reduced rates = ( 12 * 5 ) + ( 24 * 2 ) hours with reduced rates x / total number of hours in a week = ( 12 * 5 ) + ( 24 * 2 ) / ( 24 * 7 ) = 108 / ( 24 * 7 ) = 9 / 14 answer : c" | physics |
math_qa__ScWKWoQoCxGKNVe9 | In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 4 kilometers by car. What is the distance, in kilometers, from the dormitory to the city? Choose the correct answer.
A) 30
B) 45
C) 60
D) 90
E) 120 | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(1/5) + (2/3)</gadget>
<output>13/15 = around 0.866667</output>
<gadget id="calculator">1 - (13/15)</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">1 / (2/15)</gadget>
<output>15/2 = around 7.5</output>
<gadget id="calculator">4 * (15/2)</gadget>
<output>30</output>
<result>A</result> | A | 30 | In traveling from a dormitory to a certain city, a student went 1/5 of the way by foot, 2/3 of the way by bus, and the remaining 4 kilometers by car. What is the distance, in kilometers, from the dormitory to the city? | {
"A": "30",
"B": "45",
"C": "60",
"D": "90",
"E": "120"
} | multiply(4, inverse(subtract(1, add(divide(1, 5), divide(2, 3))))) | divide(n0,n1)|divide(n2,n3)|add(#0,#1)|subtract(n0,#2)|inverse(#3)|multiply(n4,#4)| | "whole trip = distance by foot + distance by bus + distance by car x = 1 / 5 x + 2 / 3 x + 4 x - 13 / 15 x = 4 2 / 15 x = 4 = > so x = ( 15 / 2 ) * 4 = 30 km answer a" | physics |
math_qa__wf66gKNPibpEixtO | A tree of height 36m is on one edge of a road broke at a certain height. It fell in such a way that the top of the tree touches the other edge of the road. If the breadth of the road is 12m, then what is the height at which the tree broke? Select
A) 16 B) 17 C) 18 D) 19 E) 20 | <gadget id="calculator">36 ** 2</gadget>
<output>1_296</output>
<gadget id="calculator">12 ** 2</gadget>
<output>144</output>
<gadget id="calculator">1_296 - 144</gadget>
<output>1_152</output>
<gadget id="calculator">36 * 2</gadget>
<output>72</output>
<gadget id="calculator">1_152 / 72</gadget>
<output>16</output>
<result>A</result> | A | 16 | A tree of height 36m is on one edge of a road broke at a certain height. It fell in such a way that the top of the tree touches the other edge of the road. If the breadth of the road is 12m, then what is the height at which the tree broke? | {
"A": "16",
"B": "17",
"C": "18",
"D": "19",
"E": "20"
} | divide(subtract(power(36, const_2), power(12, const_2)), multiply(36, const_2)) | multiply(n0,const_2)|power(n0,const_2)|power(n1,const_2)|subtract(#1,#2)|divide(#3,#0) | let the tree was broken at x meters height from the ground and 36 - x be the length of other part of the tree . from the diagram , ( 36 − x ) 2 = x 2 + 122 ( 36 − x ) 2 = x 2 + 122 ⇒ 1296 − 72 x + x 2 = x 2 + 144 ⇒ 1296 − 72 x + x 2 = x 2 + 144 ⇒ 72 x = 1296 − 144 ⇒ 72 x = 1296 − 144 ⇒ x = 16 answer : a | physics |
math_qa__VpL7vHdKtj6wdAdi | If a person walks at 16 km/hr instead of 12 km/hr, he would have walked 20 km more. The actual distance traveled by him is? Answers
A) 50 B) 65 C) 70 D) 61 E) 60 | <gadget id="calculator">16 - 12</gadget>
<output>4</output>
<gadget id="calculator">20 / 4</gadget>
<output>5</output>
<gadget id="calculator">12 * 5</gadget>
<output>60</output>
<result>E</result> | E | 60 | If a person walks at 16 km/hr instead of 12 km/hr, he would have walked 20 km more. The actual distance traveled by him is? | {
"A": "50",
"B": "65",
"C": "70",
"D": "61",
"E": "60"
} | multiply(12, divide(20, subtract(16, 12))) | subtract(n0,n1)|divide(n2,#0)|multiply(n1,#1)| | "let the actual distance traveled be x km . then , x / 12 = ( x + 20 ) / 16 x - 60 = > x = 60 km . answer : e" | general |
math_qa__jAMbuTQi69bx3nr5 | A man is 29 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is: Select
A) 14 years
B) 18 years
C) 20 years
D) 27 years
E) 16 years | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">29 - 2</gadget>
<output>27</output>
<gadget id="calculator">2 - 1</gadget>
<output>1</output>
<gadget id="calculator">27 / 1</gadget>
<output>27</output>
<result>D</result> | D | 27 | A man is 29 years older than his son. In two years, his age will be twice the age of his son. The present age of his son is: | {
"A": "14 years",
"B": "18 years",
"C": "20 years",
"D": "27 years",
"E": "16 years"
} | divide(subtract(29, subtract(multiply(const_2, const_2), const_2)), subtract(const_2, const_1)) | multiply(const_2,const_2)|subtract(const_2,const_1)|subtract(#0,const_2)|subtract(n0,#2)|divide(#3,#1)| | "let the son ' s present age be x years . then , man ' s present age = ( x + 24 ) years . ( x + 29 ) + 2 = 2 ( x + 2 ) x + 31 = 2 x + 4 x = 27 . answer : d" | general |
math_qa__TasBn4rQ1Zqvn6eY | The average of 25 results is 18. The average of first 12 of them is 10 and that of last 12 is 20. Find the 13th result? Choose the most appropriate option:
A) 60 B) 75 C) 90 D) 100 E) 110 | <gadget id="calculator">25 * 18</gadget>
<output>450</output>
<gadget id="calculator">12 * 20</gadget>
<output>240</output>
<gadget id="calculator">450 - 240</gadget>
<output>210</output>
<gadget id="calculator">12 * 10</gadget>
<output>120</output>
<gadget id="calculator">210 - 120</gadget>
<output>90</output>
<result>C</result> | C | 90 | The average of 25 results is 18. The average of first 12 of them is 10 and that of last 12 is 20. Find the 13th result? | {
"A": "60",
"B": "75",
"C": "90",
"D": "100",
"E": "110"
} | subtract(subtract(multiply(25, 18), multiply(12, 20)), multiply(12, 10)) | multiply(n0,n1)|multiply(n2,n5)|multiply(n2,n3)|subtract(#0,#1)|subtract(#3,#2) | 13 th result = sum of 25 results - sum of 24 results = 18 * 25 - 12 * 10 - 12 * 20 = 450 - 120 - 240 = 90 answer is c | general |
math_qa__WAElSANZk4Tzge1f | A contractor is engaged for 30days on the condition thathe receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.685 in all. For how many days was he absent? Choose the correct choice.
A) 8 B) 10 C) 2 D) 17 E) 19 | <gadget id="calculator">7.5 * 30</gadget>
<output>225</output>
<gadget id="calculator">225 + 685</gadget>
<output>910</output>
<gadget id="calculator">7.5 + 25</gadget>
<output>32.5</output>
<gadget id="calculator">910 / 32.5</gadget>
<output>28</output>
<gadget id="calculator">30 - 28</gadget>
<output>2</output>
<result>C</result> | C | 2 | A contractor is engaged for 30days on the condition thathe receives Rs.25 for each day he works &is fined Rs.7.50 for each day is absent. He gets Rs.685 in all. For how many days was he absent? | {
"A": "8",
"B": "10",
"C": "2",
"D": "17",
"E": "19"
} | subtract(30, divide(add(multiply(7.50, 30), 685), add(7.50, 25))) | add(n1,n2)|multiply(n0,n2)|add(n3,#1)|divide(#2,#0)|subtract(n0,#3)| | "30 * 25 = 750 685 - - - - - - - - - - - 65 25 + 7.50 = 32.5 62 / 32.5 = 2 c" | physics |
math_qa__XlOLff1wC0CtSnOA | The cost of an article is decreased by 50%. If the original cost is $200, find the decrease cost. Choose the correct choice from the following
A) 330
B) 200
C) 150
D) 100
E) 91 | <gadget id="calculator">200 * 50</gadget>
<output>10_000</output>
<gadget id="calculator">10_000 / 100</gadget>
<output>100</output>
<result>D</result> | D | 100 | The cost of an article is decreased by 50%. If the original cost is $200, find the decrease cost. | {
"A": "330",
"B": "200",
"C": "150",
"D": "100",
"E": "91"
} | divide(multiply(200, 50), const_100) | multiply(n0,n1)|divide(#0,const_100) | original cost = $ 200 decrease in it = 50 % of $ 200 = 50 / 100 ã — 200 = 10000 / 100 = $ 100 therefore , decrease cost = $ 200 - $ 100 = $ 100 answer : d | gain |
math_qa__BKyFNTx8iahx0KUJ | of the 3 - digit integers greater than 700 , how many have two digits t that are equal to each other and the remaining digit different from the other two ? Answers
A) 90 B) 82 C) 80 D) 45 E) 36 | <gadget id="calculator">1_000 - 700</gadget>
<output>300</output>
<gadget id="calculator">300 - 1</gadget>
<output>299</output>
<gadget id="calculator">700 / 100</gadget>
<output>7</output>
<gadget id="calculator">10 - 7</gadget>
<output>3</output>
<gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">3 * 9</gadget>
<output>27</output>
<gadget id="calculator">10 - 2</gadget>
<output>8</output>
<gadget id="calculator">27 * 8</gadget>
<output>216</output>
<gadget id="calculator">216 + 3</gadget>
<output>219</output>
<gadget id="calculator">299 - 219</gadget>
<output>80</output>
<result>C</result> | C | 80 | of the 3 - digit integers greater than 700 , how many have two digits t that are equal to each other and the remaining digit different from the other two ? | {
"A": "90",
"B": "82",
"C": "80",
"D": "45",
"E": "36"
} | subtract(subtract(subtract(const_1000, 700), const_1), add(multiply(multiply(subtract(const_10, divide(700, const_100)), subtract(const_10, const_1)), subtract(const_10, const_2)), const_3)) | divide(n1,const_100)|subtract(const_1000,n1)|subtract(const_10,const_1)|subtract(const_10,const_2)|subtract(#1,const_1)|subtract(const_10,#0)|multiply(#5,#2)|multiply(#6,#3)|add(#7,const_3)|subtract(#4,#8) | three - digit integers greater than 700 : 701 to 999 , inclusive . possible values for hundreds - digit - - > 7 , 89 possible values for tens - digit and ones - digit - - > 0 , 1 , 23 , 45 , 67 , 89 when hundreds - digit and tens - digit are the same : ( 3 x 1 x 10 ) - 3 = 27 - - - > we minus three to exclude 777 , 888 and 999 when hundreds - digit and ones - digit are the same : ( 3 x 10 x 1 ) - 3 = 27 - - - > we minus three to exclude 777 , 888 and 999 when tens - digit and hundreds - digit are the same : [ ( 3 x 10 x 1 ) - 3 ] - 1 = 26 - - - > we minus three to exclude 777 , 888 and 999 ; we minus one to exclude 700 t = 27 + 27 + 26 = 80 answer : c | general |
math_qa__IAITPGs71hMo1Ipv | The ages of two person differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages(in years) are respectively
Choose the correct choice from the following choices:
A) 30 , 10
B) 25 , 5
C) 29 , 9
D) 50 , 30
E) 20,10 | <gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">20 - 5</gadget>
<output>15</output>
<gadget id="calculator">25 + 15</gadget>
<output>40</output>
<gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">40 / 4</gadget>
<output>10</output>
<gadget id="calculator">10 + 20</gadget>
<output>30</output>
<result>A</result> | A | 30 | The ages of two person differ by 20 years. If 5 years ago, the elder one be 5 times as old as the younger one, their present ages(in years) are respectively | {
"A": "30 , 10",
"B": "25 , 5",
"C": "29 , 9",
"D": "50 , 30",
"E": "20,10"
} | add(divide(add(multiply(5, 5), subtract(20, 5)), subtract(5, const_1)), 20) | multiply(n1,n2)|subtract(n0,n1)|subtract(n2,const_1)|add(#0,#1)|divide(#3,#2)|add(n0,#4)| | "let their ages be x and ( x + 20 ) years . then , 5 ( x - 5 ) = ( x + 20 - 5 ) = > 4 x = 40 = > x = 10 their present ages are 30 years and 10 year . answer : a" | general |
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