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math_qa__edNVfrlWdTay2ohW | On day one, a store sold 96 pens. On each of the next d days, the company sold 44 pens. If the average daily sales of pens over this time period (including day one) is 48 pens, what is the value of d? Choose the correct choice from the following answers: A) 9 B) 10 C) 11 D) 12 E) 13 | <gadget id="calculator">96 - 48</gadget>
<output>48</output>
<gadget id="calculator">48 - 44</gadget>
<output>4</output>
<gadget id="calculator">48 / 4</gadget>
<output>12</output>
<result>D</result> | D | 12 | On day one, a store sold 96 pens. On each of the next d days, the company sold 44 pens. If the average daily sales of pens over this time period (including day one) is 48 pens, what is the value of d? | {
"A": "9",
"B": "10",
"C": "11",
"D": "12",
"E": "13"
} | divide(subtract(96, 48), subtract(48, 44)) | subtract(n0,n2)|subtract(n2,n1)|divide(#0,#1) | 96 + 44 d = 48 ( d + 1 ) . 4 d = 48 . d = 12 . the answer is d . | general |
math_qa__XD9kOCT7EbWFgckL | Walking 7/6 of his usual rate, a boy reaches his school 5 min early. Find his usual time to reach the school?
Choose the correct option:
A) 22 B) 28 C) 99 D) 35 E) 66 | <gadget id="calculator">5 * 7</gadget>
<output>35</output>
<result>D</result> | D | 35 | Walking 7/6 of his usual rate, a boy reaches his school 5 min early. Find his usual time to reach the school? | {
"A": "22",
"B": "28",
"C": "99",
"D": "35",
"E": "66"
} | multiply(5, 7) | multiply(n0,n2)| | "speed ratio = 1 : 7 / 6 = 6 : 7 time ratio = 7 : 6 1 - - - - - - - - 7 5 - - - - - - - - - ? = 35 m answer : d" | gain |
math_qa__YgrKBZqUJnXOGWt6 | Carrie likes to buy t-shirts at the local clothing store. They cost $9.15 each. One day, she bought 22 t-shirts. How much money did she spend?
Choose the correct choice from the following choices:
A) $ 150 B) $ 248.75 C) $ 200 D) $ 201.3 E) $ 190 | <gadget id="calculator">22 * 9.15</gadget>
<output>201.3</output>
<gadget id="calculator">floor(201.3)</gadget>
<output>201</output>
<result>D</result> | D | 201.3 | Carrie likes to buy t-shirts at the local clothing store. They cost $9.15 each. One day, she bought 22 t-shirts. How much money did she spend? | {
"A": "$ 150",
"B": "$ 248.75",
"C": "$ 200",
"D": "$ 201.3",
"E": "$ 190"
} | floor(multiply(22, 9.15)) | multiply(n0,n1)|floor(#0)| | $ 9.15 * 22 = $ 201.3 . answer is d . | general |
math_qa__WbWQSM48RFNhyoaO | There were two candidates in an election. Winner candidate received 56% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate?
Choose the correct choice from the following answers.
A) 776 B) 1344 C) 299 D) 257 E) 125 | <gadget id="calculator">100 - 56</gadget>
<output>44</output>
<gadget id="calculator">56 - 44</gadget>
<output>12</output>
<gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">288 / (3/25)</gadget>
<output>2_400</output>
<gadget id="calculator">2_400 * 56</gadget>
<output>134_400</output>
<gadget id="calculator">134_400 / 100</gadget>
<output>1_344</output>
<result>B</result> | B | 1,344 | There were two candidates in an election. Winner candidate received 56% of votes and won the election by 288 votes. Find the number of votes casted to the winning candidate? | {
"A": "776",
"B": "1344",
"C": "299",
"D": "257",
"E": "125"
} | divide(multiply(divide(288, divide(subtract(56, subtract(const_100, 56)), const_100)), 56), const_100) | subtract(const_100,n0)|subtract(n0,#0)|divide(#1,const_100)|divide(n1,#2)|multiply(n0,#3)|divide(#4,const_100)| | "w = 56 % l = 44 % 56 % - 44 % = 12 % 12 % - - - - - - - - 288 56 % - - - - - - - - ? = > 1344 answer : b" | gain |
math_qa__SwX0Vet0AJdpgqel | 243 has been divided into 3 parts such that half of the first part , one - third of the second part and one - fourth of the third part are equal . the largest part is ? Choose the correct choice from the following options:
A) 12628 B) 23488 C) 26688 D) 26667 E) 12672 | <gadget id="calculator">243 * 3</gadget>
<output>729</output>
<gadget id="calculator">729 * 3</gadget>
<output>2_187</output>
<gadget id="calculator">2_187 * 3</gadget>
<output>6_561</output>
<gadget id="calculator">6_561 * 2</gadget>
<output>13_122</output>
<result>A</result> | A | 12,628 | 243 has been divided into 3 parts such that half of the first part , one - third of the second part and one - fourth of the third part are equal . the largest part is ? | {
"A": "12628",
"B": "23488",
"C": "26688",
"D": "26667",
"E": "12672"
} | multiply(multiply(multiply(multiply(243, 3), 3), 3), const_2) | multiply(n0,n1)|multiply(n1,#0)|multiply(n1,#1)|multiply(#2,const_2) | explanation : ratio of their shares = ( 35000 * 8 ) : ( 42000 * 10 ) = 2 : 3 . reena ' s share rs . 31570 * ( 2 / 5 ) = rs . 12628 . answer : a ) 12628 | general |
math_qa__huELEXkdLga4WroY | In the rectangular coordinate system, points (8, 0) and (– 8, 0) both lie on circle C. What is the maximum possible value of the radius of C ? Choose one: A) 2 B) 4 C) 8 D) 16 E) none of the above | <gadget id="calculator">8 ** 2</gadget>
<output>64</output>
<gadget id="calculator">64 ** (1/2)</gadget>
<output>8</output>
<result>C</result> | C | 8 | In the rectangular coordinate system, points (8, 0) and (– 8, 0) both lie on circle C. What is the maximum possible value of the radius of C ? | {
"A": "2",
"B": "4",
"C": "8",
"D": "16",
"E": "none of the above"
} | sqrt(power(8, const_2)) | power(n0,const_2)|sqrt(#0) | the answer is c it takes 3 distinct points to define a circle . only 2 are given here . the two points essentially identify a single chord of the circle c . since no other information is provided , however , the radius of the circle can essentially be anything . all this information tell us is that the radius isgreater 8 c | geometry |
math_qa__gvGJvSjkJfq9yfEN | A polling company surveyed a certain country, and it found that 35% of that country’s registered voters had an unfavorable impression of both of that state’s major political parties and that 20% had a favorable impression only of Party E. If one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of Party B, then what percentage of the country’s registered voters have a favorable impression of both parties (assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only)? Choose the correct answer: A) 15 B) 20 C) 30 D) 35 E) 45 | <gadget id="calculator">35 + 20</gadget>
<output>55</output>
<gadget id="calculator">100 - 55</gadget>
<output>45</output>
<gadget id="calculator">45 / 3</gadget>
<output>15</output>
<result>A</result> | A | 15 | A polling company surveyed a certain country, and it found that 35% of that country’s registered voters had an unfavorable impression of both of that state’s major political parties and that 20% had a favorable impression only of Party E. If one registered voter has a favorable impression of both parties for every two registered voters who have a favorable impression only of Party B, then what percentage of the country’s registered voters have a favorable impression of both parties (assuming that respondents to the poll were given a choice between favorable and unfavorable impressions only)? | {
"A": "15",
"B": "20",
"C": "30",
"D": "35",
"E": "45"
} | divide(subtract(const_100, add(35, 20)), const_3) | add(n0,n1)|subtract(const_100,#0)|divide(#1,const_3)| | "s = 100 not ( e and b ) = 35 only e = 20 ( e and b ) / b = 1 / 2 let ( e and b ) = x only b = 2 x so now , 20 + 35 + x + 2 x = 100 x = 15 a ans" | gain |
math_qa__RGm0ODom5Kauiq9g | A typist uses a sheet measuring 20cm by 30cm lengthwise. If a margin of 2 cm is left on each side and a 3 cm margin on top and bottom, then percent of the page used for typing is Choose the correct choice from the following choices.
A) 40
B) 60
C) 64
D) 72
E) none | <gadget id="calculator">3 + 3</gadget>
<output>6</output>
<gadget id="calculator">30 - 6</gadget>
<output>24</output>
<gadget id="calculator">20 - 4</gadget>
<output>16</output>
<gadget id="calculator">24 * 16</gadget>
<output>384</output>
<gadget id="calculator">20 * 30</gadget>
<output>600</output>
<gadget id="calculator">384 / 600</gadget>
<output>16/25 = around 0.64</output>
<gadget id="calculator">(16/25) * 100</gadget>
<output>64</output>
<result>C</result> | C | 64 | A typist uses a sheet measuring 20cm by 30cm lengthwise. If a margin of 2 cm is left on each side and a 3 cm margin on top and bottom, then percent of the page used for typing is | {
"A": "40",
"B": "60",
"C": "64",
"D": "72",
"E": "none"
} | multiply(divide(multiply(subtract(30, add(3, 3)), subtract(20, const_4)), multiply(20, 30)), const_100) | add(n3,n3)|multiply(n0,n1)|subtract(n0,const_4)|subtract(n1,#0)|multiply(#3,#2)|divide(#4,#1)|multiply(#5,const_100) | solution area of the sheet = ( 20 x 30 ) cm ² = 600 cm ² area used for typing = [ ( 20 - 4 ) x ( 30 - 6 ) ] cm ² = 384 cm ² required percentage = ( 384 / 600 x 100 ) % = 64 % . answer c | gain |
math_qa__TNkZaB5hVd7IZCnx | The H.C.F. of two numbers is 12 and their difference is 12. The numbers are :
Choose the correct choice from the following answers
A) 66 , 78 B) 70 , 82 C) 94 , 106 D) 84 , 96 E) none of these | <gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">12 * 7</gadget>
<output>84</output>
<result>D</result> | D | 84 | The H.C.F. of two numbers is 12 and their difference is 12. The numbers are : | {
"A": "66 , 78",
"B": "70 , 82",
"C": "94 , 106",
"D": "84 , 96",
"E": "none of these"
} | multiply(12, add(const_3, const_4)) | add(const_3,const_4)|multiply(n0,#0) | explanation : out of the given numbers , the two with h . c . f . 12 and difference 12 are 84 and 96 . answer is d | general |
math_qa__RyQXbkfgLmecxIKq | John, James and Jim' investment ratio in a business is 4:7:9. If total total investment is 80000. Find Jim's investment? Select the correct option: A) 35000 B) 40000 C) 16000 D) 36000 E) 60000 | <gadget id="calculator">4 + 7</gadget>
<output>11</output>
<gadget id="calculator">11 + 9</gadget>
<output>20</output>
<gadget id="calculator">80_000 / 20</gadget>
<output>4_000</output>
<gadget id="calculator">4_000 * 9</gadget>
<output>36_000</output>
<result>D</result> | D | 36,000 | John, James and Jim' investment ratio in a business is 4:7:9. If total total investment is 80000. Find Jim's investment? | {
"A": "35000",
"B": "40000",
"C": "16000",
"D": "36000",
"E": "60000"
} | multiply(divide(80000, add(add(4, 7), 9)), 9) | add(n0,n1)|add(n2,#0)|divide(n3,#1)|multiply(n2,#2) | let the investment of john james and jim is 4 x 7 x and 9 x 4 x + 7 x + 9 x = 80000 20 x = 80000 x = 4000 jim ' investment = 9 * 4000 = 36000 answer : d | other |
math_qa__1Q4exeBVtRLIaBI3 | Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days? Choose the correct choice from the following choices: A) 1 / 5 B) 1 / 1 C) 1 / 6 D) 1 / 3 E) 1 / 7 | <gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">1 / 45</gadget>
<output>1/45 = around 0.022222</output>
<gadget id="calculator">(1/30) + (1/45)</gadget>
<output>1/18 = around 0.055556</output>
<gadget id="calculator">3 * (1/18)</gadget>
<output>1/6 = around 0.166667</output>
<result>C</result> | C | 0.166667 | Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 3 days? | {
"A": "1 / 5",
"B": "1 / 1",
"C": "1 / 6",
"D": "1 / 3",
"E": "1 / 7"
} | multiply(3, add(divide(const_1, 30), divide(const_1, 45))) | divide(const_1,n0)|divide(const_1,n1)|add(#0,#1)|multiply(n2,#2)| | "a ' s one day ' s work = 1 / 30 b ' s one day ' s work = 1 / 45 ( a + b ) ' s one day ' s work = 1 / 30 + 1 / 45 = 1 / 18 the part of the work completed in 3 days = 3 ( 1 / 18 ) = 1 / 6 . answer : c" | physics |
math_qa__690l6nB1mx4txZ0a | Calculate how long it will take a swimmer to swim a distance of 8km against the current of a river which flows at 1.4km/hr, given that he can swim in still water at 3km/h Select the correct option:
A) 20 seconds
B) 3
C) 4
D) 1
E) 5 | <gadget id="calculator">3 - 1.4</gadget>
<output>1.6</output>
<gadget id="calculator">8 / 1.6</gadget>
<output>5</output>
<result>E</result> | E | 5 | Calculate how long it will take a swimmer to swim a distance of 8km against the current of a river which flows at 1.4km/hr, given that he can swim in still water at 3km/h | {
"A": "20 seconds",
"B": "3",
"C": "4",
"D": "1",
"E": "5"
} | divide(8, subtract(3, 1.4)) | subtract(n2,n1)|divide(n0,#0) | swim in still water at = 3 speed of river = 1.4 us = 3 - 1.4 = 1.6 distance = 8 t = 8 / 1.6 = 5 answer : e | gain |
math_qa__55pgWhP210x5mUu1 | If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 39 Choose the correct option: A) 11 B) 13 C) 15 D) 17 E) 19 | <gadget id="calculator">432 * 44</gadget>
<output>19_008</output>
<gadget id="calculator">19_008 % 39</gadget>
<output>15</output>
<result>C</result> | C | 15 | If a no. when divided by 44, gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same no. by 39 | {
"A": "11",
"B": "13",
"C": "15",
"D": "17",
"E": "19"
} | reminder(multiply(432, 44), 39) | multiply(n0,n1)|reminder(#0,n3)| | "p ã · 44 = 432 = > p = 432 * 44 = 19008 p / 39 = 19008 / 39 = 487 , remainder = 15 c" | general |
math_qa__3MgVeJX3y0BSdNYb | A satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/8 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded?
Select.
A) 1 / 4 B) 1 / 5 C) 1 / 6 D) 1 / 8 E) 1 / 24 | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/8) * 24</gadget>
<output>3</output>
<gadget id="calculator">24 * 3</gadget>
<output>72</output>
<gadget id="calculator">24 + 72</gadget>
<output>96</output>
<gadget id="calculator">24 / 96</gadget>
<output>1/4 = around 0.25</output>
<result>A</result> | A | 0.25 | A satellite is composed of 24 modular units, each of which is equipped with a set of sensors, some of which have been upgraded. Each unit contains the same number of non-upgraded sensors. If the number of non-upgraded sensors on one unit is 1/8 the total number of upgraded sensors on the entire satellite, what fraction of the sensors on the satellite have been upgraded? | {
"A": "1 / 4",
"B": "1 / 5",
"C": "1 / 6",
"D": "1 / 8",
"E": "1 / 24"
} | divide(24, add(24, multiply(24, multiply(divide(1, 8), 24)))) | divide(n1,n2)|multiply(n0,#0)|multiply(n0,#1)|add(n0,#2)|divide(n0,#3)| | "let x be the number of upgraded sensors on the satellite . the number of non - upgraded sensors per unit is x / 8 . the number of non - upgraded sensors on the whole satellite is 24 ( x / 8 ) = 3 x . the fraction of sensors which have been upgraded is x / ( x + 3 x ) = x / 4 x = 1 / 4 the answer is a ." | general |
math_qa__qDjzpruUwEcz7eIg | If the operation Ø is defined for all positive integers x and w by x Ø w = (2^x)/(2^w) then (4 Ø 2) Ø 1 = ? Choose the correct choice:
A) 2
B) 4
C) 8
D) 16
E) 32 | <gadget id="calculator">2 ** 4</gadget>
<output>16</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">16 / 4</gadget>
<output>4</output>
<gadget id="calculator">2 ** 1</gadget>
<output>2</output>
<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<result>C</result> | C | 8 | If the operation Ø is defined for all positive integers x and w by x Ø w = (2^x)/(2^w) then (4 Ø 2) Ø 1 = ? | {
"A": "2",
"B": "4",
"C": "8",
"D": "16",
"E": "32"
} | divide(power(2, divide(power(2, 4), power(2, 2))), power(2, 1)) | power(n0,n2)|power(n0,n0)|power(n0,n4)|divide(#0,#1)|power(n0,#3)|divide(#4,#2)| | "4 ø 2 = 2 ^ 4 / 2 ^ 2 = 4 4 ø 1 = 2 ^ 4 / 2 = 8 the answer is c ." | general |
math_qa__dsyCGV5I7xBp8D7m | If 3^x*4^y = 531,441 and x – y = 12, then x = ? Answers
A) 10 B) 11 C) 12 D) 13 E) 14 | <gadget id="calculator">12 * 1</gadget>
<output>12</output>
<result>C</result> | C | 12 | If 3^x*4^y = 531,441 and x – y = 12, then x = ? | {
"A": "10",
"B": "11",
"C": "12",
"D": "13",
"E": "14"
} | multiply(12, const_1) | multiply(n3,const_1)| | "since 531,441 is an odd number , it is not a multiple of 4 . this means that y must equal zero . since x - y = 12 and y = 0 , then x = 12 . the answer is c ." | general |
math_qa__hN7RmFnbHYSfrRnP | A man buys a cycle for Rs. 2300 and sells it at a loss of 30%. What is the selling price of the cycle? Choose the correct choice from the following answers:
A) s . 1690
B) s . 1610
C) s . 1890
D) s . 1602
E) s . 1092 | <gadget id="calculator">100 - 30</gadget>
<output>70</output>
<gadget id="calculator">70 * 2_300</gadget>
<output>161_000</output>
<gadget id="calculator">161_000 / 100</gadget>
<output>1_610</output>
<result>B</result> | B | 1,610 | A man buys a cycle for Rs. 2300 and sells it at a loss of 30%. What is the selling price of the cycle? | {
"A": "s . 1690",
"B": "s . 1610",
"C": "s . 1890",
"D": "s . 1602",
"E": "s . 1092"
} | divide(multiply(subtract(const_100, 30), 2300), const_100) | subtract(const_100,n1)|multiply(n0,#0)|divide(#1,const_100)| | "s . p . = 70 % of rs . 2300 = rs . 70 x 2300 / 100 = rs . 1610 answer : option b" | gain |
math_qa__CMI2n96UVEBEb8UZ | How many hours are there in 660 minutes? Choose the correct choice from the following:
A) 60 hours B) 6 hours C) 30 hours D) 11 hours E) 10 hours | <gadget id="calculator">660 / 60</gadget>
<output>11</output>
<result>D</result> | D | 11 | How many hours are there in 660 minutes? | {
"A": "60 hours",
"B": "6 hours",
"C": "30 hours",
"D": "11 hours",
"E": "10 hours"
} | divide(660, const_60) | divide(n0,const_60)| | "solution : number of minutes in 1 hour = 60 minutes so just divide 660 by 60 660 ã · 60 = 11 , so there are 11 hours in 660 minutes option d" | physics |
math_qa__KyI5yNtzgNJrwMgP | A is twice as good a workman as B and they took 9 days together to do the work B alone can do it in? Select:
A) 25 days
B) 88 days
C) 21 days
D) 27 days
E) 13 days | <gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">9 * 3</gadget>
<output>27</output>
<gadget id="calculator">27 / 2</gadget>
<output>27/2 = around 13.5</output>
<gadget id="calculator">(27/2) * 2</gadget>
<output>27</output>
<result>D</result> | D | 27 | A is twice as good a workman as B and they took 9 days together to do the work B alone can do it in? | {
"A": "25 days",
"B": "88 days",
"C": "21 days",
"D": "27 days",
"E": "13 days"
} | multiply(divide(multiply(9, add(const_2, const_1)), const_2), const_2) | add(const_1,const_2)|multiply(n0,#0)|divide(#1,const_2)|multiply(#2,const_2)| | "wc = 2 : 1 2 x + x = 1 / 9 x = 1 / 27 = > 27 days answer : d" | physics |
math_qa__NxwR1f3EOcyE0jtw | Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'? Choose the correct option
A) 7
B) 5
C) 6
D) 4
E) 3 | <gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">30 / 6</gadget>
<output>5</output>
<result>B</result> | B | 5 | Ajay and Vijay have some marbles with them. Ajay told Vijay "if you give me 'x' marbles, both of us will have equal number of marbles". Vijay then told Ajay "if you give me twice as many marbles, I will have 30 more marbles than you would". Find 'x'? | {
"A": "7",
"B": "5",
"C": "6",
"D": "4",
"E": "3"
} | divide(30, multiply(const_2, const_3)) | multiply(const_2,const_3)|divide(n0,#0) | if vijay gives ' x ' marbles to ajay then vijay and ajay would have v - x and a + x marbles . v - x = a + x - - - ( 1 ) if ajay gives 2 x marbles to vijay then ajay and vijay would have a - 2 x and v + 2 x marbles . v + 2 x - ( a - 2 x ) = 30 = > v - a + 4 x = 30 - - - ( 2 ) from ( 1 ) we have v - a = 2 x substituting v - a = 2 x in ( 2 ) 6 x = 30 = > x = 5 . answer : b | general |
math_qa__d5U3NRdw7XqWIryk | The average of temperatures at noontime from Monday to Friday is 45; the lowest one is 42, what is the possible maximum range of the temperatures? Pick one.
A) 15 B) 25 C) 40 D) 45 E) 75 | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">45 * 5</gadget>
<output>225</output>
<gadget id="calculator">42 * 4</gadget>
<output>168</output>
<gadget id="calculator">225 - 168</gadget>
<output>57</output>
<gadget id="calculator">57 - 42</gadget>
<output>15</output>
<result>A</result> | A | 15 | The average of temperatures at noontime from Monday to Friday is 45; the lowest one is 42, what is the possible maximum range of the temperatures? | {
"A": "15",
"B": "25",
"C": "40",
"D": "45",
"E": "75"
} | subtract(subtract(multiply(45, add(const_2, const_3)), multiply(42, const_4)), 42) | add(const_2,const_3)|multiply(n1,const_4)|multiply(n0,#0)|subtract(#2,#1)|subtract(#3,n1)| | "there are 5 days so the sum of temperature can be 45 * 5 = 225 lowest is 42 . to find the maximum range we can say the temperature was the lowest for 4 of the 5 days so 4 * 42 = 168 . on the fifth day it is 225 - 168 = 57 range is therefore 57 - 42 = 15 answer a" | general |
math_qa__c48EfgonBku6WMmf | David is 12 years older than his daughter Rosy. In 4 years David will be twice as old as Rosy. What is Rosy current age.
Options.
A) 9 B) 10 C) 11 D) 8 E) 12 | <gadget id="calculator">12 + 4</gadget>
<output>16</output>
<gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">16 - 8</gadget>
<output>8</output>
<result>D</result> | D | 8 | David is 12 years older than his daughter Rosy. In 4 years David will be twice as old as Rosy. What is Rosy current age. | {
"A": "9",
"B": "10",
"C": "11",
"D": "8",
"E": "12"
} | subtract(add(12, 4), multiply(const_2, 4)) | add(n0,n1)|multiply(n1,const_2)|subtract(#0,#1)| | "now : rosy = x , david = x + 12 in 4 years rosy = x + 4 , david = x + 12 + 4 or 2 ( x + 4 ) x + 16 = 2 x + 8 x = 8 rosy is 8 years old answer : d" | general |
math_qa__MkIlhZrGjmlNhC8u | One-third of 1200 is what percent of 236 ? Select.
A) 169.49 B) 30 C) 120.32 D) 125.32 E) 15.152 | <gadget id="calculator">1_200 / 3</gadget>
<output>400</output>
<gadget id="calculator">400 / 236</gadget>
<output>100/59 = around 1.694915</output>
<gadget id="calculator">100 * (100/59)</gadget>
<output>10_000/59 = around 169.491525</output>
<result>A</result> | A | 169.49 | One-third of 1200 is what percent of 236 ? | {
"A": "169.49",
"B": "30",
"C": "120.32",
"D": "125.32",
"E": "15.152"
} | multiply(const_100, divide(divide(1200, const_3), 236)) | divide(n0,const_3)|divide(#0,n1)|multiply(#1,const_100)| | "answer let one - third of 1200 is n % of 236 . ∵ 1200 / 3 = ( n x 236 ) / 100 ∴ n = ( 400 x 100 ) / 236 = 169.49 correct option : a" | gain |
math_qa__SUlqi5sfrXGzdaTG | If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?
Choose one.
A) 0 B) 1 C) 2 D) 3 E) 4 | <gadget id="calculator">5 % 2</gadget>
<output>1</output>
<result>B</result> | B | 1 | If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5? | {
"A": "0",
"B": "1",
"C": "2",
"D": "3",
"E": "4"
} | reminder(5, 2) | reminder(n1,n0) | let ' s find a number which when divided by 5 leaves remainder 2 = 5 + 2 = 7 i . e . one possible value of m = 7 value of 3 m = 3 * 7 = 21 when em is divided by 5 then remainder = rem ( 21 / 5 ) = 1 answer : option b | physics |
math_qa__7zUfstZoMDfSwH72 | Average age of students of an adult school is 48 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students.
Choose the correct option
A) 1200 B) 160 C) 360 D) 240 E) none of these | <gadget id="calculator">32 + 4</gadget>
<output>36</output>
<gadget id="calculator">36 * 120</gadget>
<output>4_320</output>
<gadget id="calculator">120 * 32</gadget>
<output>3_840</output>
<gadget id="calculator">4_320 - 3_840</gadget>
<output>480</output>
<gadget id="calculator">48 - 36</gadget>
<output>12</output>
<gadget id="calculator">480 / 12</gadget>
<output>40</output>
<gadget id="calculator">40 * 4</gadget>
<output>160</output>
<result>B</result> | B | 160 | Average age of students of an adult school is 48 years. 120 new students whose average age is 32 years joined the school. As a result the average age is decreased by 4 years. Find the number of students of the school after joining of the new students. | {
"A": "1200",
"B": "160",
"C": "360",
"D": "240",
"E": "none of these"
} | multiply(divide(subtract(multiply(add(32, 4), 120), multiply(120, 32)), subtract(48, add(32, 4))), 4) | add(n2,n3)|multiply(n1,n2)|multiply(n1,#0)|subtract(n0,#0)|subtract(#2,#1)|divide(#4,#3)|multiply(n3,#5) | explanation : let the original no . of students be x . according to situation , 48 x + 120 * 32 = ( x + 120 ) 36 ⇒ x = 40 so , required no . of students after joining the new students = x + 120 = 160 . answer : b | general |
math_qa__H1vibE8kZbgaLn8G | If 9 - 4/X = 7 + 8/X, then X =
Choices: A) 15 B) 6 C) 1 D) 5 E) 12 | <gadget id="calculator">8 + 4</gadget>
<output>12</output>
<gadget id="calculator">9 - 7</gadget>
<output>2</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<result>B</result> | B | 6 | If 9 - 4/X = 7 + 8/X, then X = | {
"A": "15",
"B": "6",
"C": "1",
"D": "5",
"E": "12"
} | divide(add(8, const_4), subtract(9, 7)) | add(n3,const_4)|subtract(n0,n2)|divide(#0,#1) | we ' re given the equation 9 - 4 / x = 7 + 8 / x . we ' re asked for the value of x . the common - denominator of these 4 numbers is x , so we have to multiple 2 of the numbers to give them that denominator . . . 9 x - 4 x / x = 7 x + 8 x / x we can then eliminate that denominator , which gives us . . . . 9 x - 4 = 7 x + 8 12 = 2 x both 2 x and 12 have a common denominator of 2 , so we divide both sides by 2 for our final answer . . . 6 = x b | general |
math_qa__Z4l4CZbiCtSgSwMz | It costs $4 for the first 1/4 hour to use the laundry machine at the Laundromat. After the first ¼ hour it costs $12 per hour. If a certain customer uses the laundry machine for 3 hours and 25 minutes, how much will it cost him?
Choose the correct choice from the following answers.
A) $ 25 B) $ 32 C) $ 36 D) $ 40 . E) $ 42 . | <gadget id="calculator">12 * 3</gadget>
<output>36</output>
<gadget id="calculator">36 + 4</gadget>
<output>40</output>
<gadget id="calculator">12 / 60</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">25 / 4</gadget>
<output>25/4 = around 6.25</output>
<gadget id="calculator">(1/5) * (25/4)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">40 + (5/4)</gadget>
<output>165/4 = around 41.25</output>
<result>E</result> | E | 42 | It costs $4 for the first 1/4 hour to use the laundry machine at the Laundromat. After the first ¼ hour it costs $12 per hour. If a certain customer uses the laundry machine for 3 hours and 25 minutes, how much will it cost him? | {
"A": "$ 25",
"B": "$ 32",
"C": "$ 36",
"D": "$ 40 .",
"E": "$ 42 ."
} | add(add(multiply(12, 3), 4), multiply(divide(12, const_60), divide(25, 4))) | divide(n3,const_60)|divide(n5,n2)|multiply(n3,n4)|add(n0,#2)|multiply(#0,#1)|add(#3,#4)| | "3 hrs 25 min = 205 min first 15 min - - - - - - > $ 4 time left is 190 min . . . now , 60 min costs $ 12 1 min costs $ 12 / 60 190 min costs $ 12 / 60 * 190 = > $ 38 so , total cost will be $ 38 + $ 4 = > $ 42 hene answer will be ( e ) $ 42" | physics |
math_qa__PqVxUAw8bZr1OYld | The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 637, Krishan has ? Select the correct option:
A) s . 2890 B) s . 2330 C) s . 3757 D) s . 1620 E) s . 2680 | <gadget id="calculator">637 / 7</gadget>
<output>91</output>
<gadget id="calculator">91 * 17</gadget>
<output>1_547</output>
<gadget id="calculator">1_547 / 7</gadget>
<output>221</output>
<gadget id="calculator">221 * 17</gadget>
<output>3_757</output>
<result>C</result> | C | 3,757 | The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 637, Krishan has ? | {
"A": "s . 2890",
"B": "s . 2330",
"C": "s . 3757",
"D": "s . 1620",
"E": "s . 2680"
} | multiply(divide(multiply(divide(637, 7), 17), 7), 17) | divide(n4,n0)|multiply(n1,#0)|divide(#1,n0)|multiply(n1,#2)| | "ram : gopal = 7 : 17 = 49 : 119 gopal : krishan = 7 : 17 = 119 : 289 ram : gopal : krishan = 49 : 119 : 289 ram : krishan = 49 : 289 thus , 49 : 289 = 637 : n & there n = 289 x 637 / 49 = rs . 3757 answer : c" | other |
math_qa__A9NINTsgxndm43Dj | Last week David spent 40 percent of his wages on recreation. This week, his wages are 5 percent less than last weekʼs wages and he spent 50 percent of his wages on recreation. The amount he spends on recreation this week is what percent of the amount he spent on recreation last week Pick: A) 118.75 % B) 128.75 % C) 116.75 % D) 117.75 % E) 114.75 % | <gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 - (1/20)</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">(1/2) * (19/20)</gadget>
<output>19/40 = around 0.475</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(19/40) / (2/5)</gadget>
<output>19/16 = around 1.1875</output>
<gadget id="calculator">(19/16) * 100</gadget>
<output>475/4 = around 118.75</output>
<result>A</result> | A | 118.75 | Last week David spent 40 percent of his wages on recreation. This week, his wages are 5 percent less than last weekʼs wages and he spent 50 percent of his wages on recreation. The amount he spends on recreation this week is what percent of the amount he spent on recreation last week | {
"A": "118.75 %",
"B": "128.75 %",
"C": "116.75 %",
"D": "117.75 %",
"E": "114.75 %"
} | multiply(divide(multiply(divide(50, const_100), subtract(const_1, divide(5, const_100))), divide(40, const_100)), const_100) | divide(n2,const_100)|divide(n1,const_100)|divide(n0,const_100)|subtract(const_1,#1)|multiply(#0,#3)|divide(#4,#2)|multiply(#5,const_100) | say david ' s wages last week were $ 100 , so he spent 0.40 * 100 = $ 40 on recreation ; this week ' s wages is 0.95 * 100 = $ 95 , so he spends 0.5 * 95 = $ 47.5 on recreation ; 47.5 / 40 = 1.1875 , hence the amount he spends on recreation this week is 118.75 % of the amount he spent on recreation last week : 40 * 1.1875 = 47.5 answer : a | general |
math_qa__NCGcKdgwiqf0CALK | the data a and b are equal to the data subtracted c ; the data b is 3 times the data a ; if the data a is equal to 12 what is the sum of the data a , b and c ? Choose the correct choice
A) 86 B) 92 C) 84 D) 102 E) 96 | <gadget id="calculator">12 * 3</gadget>
<output>36</output>
<gadget id="calculator">12 + 36</gadget>
<output>48</output>
<gadget id="calculator">48 + 36</gadget>
<output>84</output>
<gadget id="calculator">84 + 12</gadget>
<output>96</output>
<result>E</result> | E | 96 | the data a and b are equal to the data subtracted c ; the data b is 3 times the data a ; if the data a is equal to 12 what is the sum of the data a , b and c ? | {
"A": "86",
"B": "92",
"C": "84",
"D": "102",
"E": "96"
} | add(add(add(12, multiply(12, 3)), multiply(12, 3)), 12) | multiply(n0,n1)|add(n1,#0)|add(#1,#0)|add(n1,#2) | the equations raised . a + b = c b = 3 a a = 12 then b = 36 and c = 48 a + b + c = 96 answer : e | general |
math_qa__spLLI5j4X7lpPxSN | The population of a town is 30000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years? Pick one
A) 4300 B) 19200 C) 5120 D) 5230 E) 5366 | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">30_000 * (1/5)</gadget>
<output>6_000</output>
<gadget id="calculator">30_000 - 6_000</gadget>
<output>24_000</output>
<gadget id="calculator">24_000 * (1/5)</gadget>
<output>4_800</output>
<gadget id="calculator">24_000 - 4_800</gadget>
<output>19_200</output>
<result>B</result> | B | 19,200 | The population of a town is 30000. It decreases annually at the rate of 20% p.a. What will be its population after 2 years? | {
"A": "4300",
"B": "19200",
"C": "5120",
"D": "5230",
"E": "5366"
} | subtract(subtract(30000, multiply(30000, divide(20, const_100))), multiply(subtract(30000, multiply(30000, divide(20, const_100))), divide(20, const_100))) | divide(n1,const_100)|multiply(n0,#0)|subtract(n0,#1)|multiply(#0,#2)|subtract(#2,#3)| | "30000 × 80 / 100 × 80 / 100 = 19200 answer ; b" | gain |
math_qa__h80MuRbLitn33T9j | A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 150 more than A : Choose the correct choice from the following answers.
A) 2348 B) 7250 C) 4350 D) 1998 E) 2771 | <gadget id="calculator">3 * 6</gadget>
<output>18</output>
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">18 + 20</gadget>
<output>38</output>
<gadget id="calculator">5 * 4</gadget>
<output>20</output>
<gadget id="calculator">38 + 20</gadget>
<output>58</output>
<gadget id="calculator">20 - 18</gadget>
<output>2</output>
<gadget id="calculator">150 / 2</gadget>
<output>75</output>
<gadget id="calculator">58 * 75</gadget>
<output>4_350</output>
<result>C</result> | C | 4,350 | A, B and C invest in the ratio of 3 : 4: 5. The percentage of return on their investments are in the ratio of 6 : 5 : 4. Find the total earnings, If B earns Rs. 150 more than A : | {
"A": "2348",
"B": "7250",
"C": "4350",
"D": "1998",
"E": "2771"
} | multiply(add(add(multiply(3, 6), multiply(4, 5)), multiply(5, 4)), divide(150, subtract(multiply(4, 5), multiply(3, 6)))) | multiply(n0,n3)|multiply(n1,n2)|add(#0,#1)|subtract(#1,#0)|add(#2,#1)|divide(n6,#3)|multiply(#4,#5)| | "explanation : a b c investment 3 x 4 x 5 x rate of return 6 y % 5 y % 4 y % return \ inline \ frac { 18 xy } { 100 } \ inline \ frac { 20 xy } { 100 } \ inline \ frac { 20 xy } { 100 } total = ( 18 + 20 + 20 ) = \ inline \ frac { 58 xy } { 100 } b ' s earnings - a ' s earnings = \ inline \ frac { 2 xy } { 100 } = 150 total earning = \ inline \ frac { 58 xy } { 100 } = 4350 answer : c ) rs . 4350" | general |
math_qa__q1p5MLCMgCoRVnLP | A man can row downstream at 18 kmph and upstream at 6 kmph. Find the speed of the man in still water and the speed of stream respectively? Choose the correct choice from the following options
A) 3 B) 5 C) 6 D) 4 E) 9 | <gadget id="calculator">18 + 6</gadget>
<output>24</output>
<gadget id="calculator">24 / 2</gadget>
<output>12</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<result>C</result> | C | 6 | A man can row downstream at 18 kmph and upstream at 6 kmph. Find the speed of the man in still water and the speed of stream respectively? | {
"A": "3",
"B": "5",
"C": "6",
"D": "4",
"E": "9"
} | divide(divide(add(18, 6), const_2), const_2) | add(n0,n1)|divide(#0,const_2)|divide(#1,const_2) | let the speed of the man in still water and speed of stream be x kmph and y kmph respectively . given x + y = 18 - - - ( 1 ) and x - y = 6 - - - ( 2 ) from ( 1 ) & ( 2 ) 2 x = 24 = > x = 12 , y = 6 . answer : c | physics |
math_qa__sHAibgxQ4ZDZsP0d | the ratio of 3 numbers is 1 : 2 : 4 and the sum of their squares is 1701 . the sum of the numbers is ? Options:
A) 10 B) 12 C) 15 D) 14 E) 9 | <gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">1 ** 2</gadget>
<output>1</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">16 + 5</gadget>
<output>21</output>
<gadget id="calculator">1_701 / 21</gadget>
<output>81</output>
<gadget id="calculator">81 ** (1/2)</gadget>
<output>9</output>
<result>E</result> | E | 9 | the ratio of 3 numbers is 1 : 2 : 4 and the sum of their squares is 1701 . the sum of the numbers is ? | {
"A": "10",
"B": "12",
"C": "15",
"D": "14",
"E": "9"
} | sqrt(divide(1701, add(power(4, 2), add(power(1, 2), power(2, 2))))) | power(n1,n2)|power(n2,n2)|power(n3,n2)|add(#0,#1)|add(#3,#2)|divide(n4,#4)|sqrt(#5) | let the numbers be x , 2 x , 4 x then , x ^ 2 + 4 x ^ 2 + 16 x ^ 2 = 1701 21 x ^ 2 = 1701 x ^ 2 = 81 x = 9 answer is e | other |
math_qa__3NniUOhVdY4gYddR | A lady builds 10cm length, 18cm width, and 4cm height box using 12cubic cm cubes. What is the minimum number of cubes required to build the box?
Answers: A) 107 B) 70 C) 78 D) 60 E) 111 | <gadget id="calculator">10 * 18</gadget>
<output>180</output>
<gadget id="calculator">180 * 4</gadget>
<output>720</output>
<gadget id="calculator">720 / 12</gadget>
<output>60</output>
<result>D</result> | D | 60 | A lady builds 10cm length, 18cm width, and 4cm height box using 12cubic cm cubes. What is the minimum number of cubes required to build the box? | {
"A": "107",
"B": "70",
"C": "78",
"D": "60",
"E": "111"
} | divide(multiply(multiply(10, 18), 4), 12) | multiply(n0,n1)|multiply(n2,#0)|divide(#1,n3)| | "number of cubes required = volume of box / volume of cube = 10 * 18 * 4 / 12 = 60 cubes answer : d" | geometry |
math_qa__Oj4EtHwjfEEt9Yn7 | A 300 m long train crosses a platform in 45 sec while it crosses a signal pole in 18 sec. What is the length of the platform? Select the correct option: A) 287 B) 350 C) 828 D) 450 E) 122 | <gadget id="calculator">300 / 18</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">(50/3) * 45</gadget>
<output>750</output>
<gadget id="calculator">750 - 300</gadget>
<output>450</output>
<result>D</result> | D | 450 | A 300 m long train crosses a platform in 45 sec while it crosses a signal pole in 18 sec. What is the length of the platform? | {
"A": "287",
"B": "350",
"C": "828",
"D": "450",
"E": "122"
} | subtract(multiply(speed(300, 18), 45), 300) | speed(n0,n2)|multiply(n1,#0)|subtract(#1,n0)| | "speed = 300 / 18 = 50 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 45 = 50 / 3 3 x + 900 = 2250 = > x = 450 m . answer : d" | physics |
math_qa__R2lNMCYlUr9SKMMy | In assembling a Bluetooth device, a factory uses one of two kinds of modules. One module costs $10 and the other one, that is cheaper, costs $3.5. The factory holds a $45 worth stock of 11 modules. How many of the modules in the stock are of the cheaper kind? Choose the most appropriate option.
A) 30 B) 28 C) 25 D) 20 E) 10 | <gadget id="calculator">45 - 10</gadget>
<output>35</output>
<gadget id="calculator">35 / 3.5</gadget>
<output>10</output>
<result>E</result> | E | 10 | In assembling a Bluetooth device, a factory uses one of two kinds of modules. One module costs $10 and the other one, that is cheaper, costs $3.5. The factory holds a $45 worth stock of 11 modules. How many of the modules in the stock are of the cheaper kind? | {
"A": "30",
"B": "28",
"C": "25",
"D": "20",
"E": "10"
} | divide(subtract(45, 10), 3.5) | subtract(n2,n0)|divide(#0,n1) | so the number of $ 3.50 modules must be 10 so that the leftover 1 modules are of $ 10 which will give a total value $ 45 . 10 * 3.50 + 1 * 10 = 35 + 10 = 45 answer : e | other |
math_qa__T30Me3BaSUMqFlie | The average salary of all the workers in a workshop is Rs. 10000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 8000. The total number of workers in the workshop is : Choose the correct choice from the following answers: A) 14 B) 21 C) 88 D) 37 E) 29 | <gadget id="calculator">12_000 - 10_000</gadget>
<output>2_000</output>
<gadget id="calculator">7 * 2_000</gadget>
<output>14_000</output>
<gadget id="calculator">10_000 - 8_000</gadget>
<output>2_000</output>
<gadget id="calculator">14_000 / 2_000</gadget>
<output>7</output>
<gadget id="calculator">7 + 7</gadget>
<output>14</output>
<result>A</result> | A | 14 | The average salary of all the workers in a workshop is Rs. 10000. The average salary of 7 technicians is Rs. 12000 and the average salary of the rest is Rs. 8000. The total number of workers in the workshop is : | {
"A": "14",
"B": "21",
"C": "88",
"D": "37",
"E": "29"
} | add(7, divide(multiply(7, subtract(12000, 10000)), subtract(10000, 8000))) | subtract(n2,n0)|subtract(n0,n3)|multiply(n1,#0)|divide(#2,#1)|add(n1,#3)| | "explanation : lot the total number of workers be v then , 10000 v = ( 12000 * 7 ) + 8000 ( v - 7 ) < = > 2000 v = 28000 < = > v = 14 answer : a ) 14" | general |
math_qa__3PYR6gdd3mPVYxMR | A salt manufacturing company produced a total of 4000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its ave66rage daily production for that year?
Choose the correct choice from the following answers.
A) 140 B) 149 C) 156 D) 195 E) 100 | <gadget id="calculator">4_000 * 2</gadget>
<output>8_000</output>
<gadget id="calculator">12 - 1</gadget>
<output>11</output>
<gadget id="calculator">11 * 100</gadget>
<output>1_100</output>
<gadget id="calculator">8_000 + 1_100</gadget>
<output>9_100</output>
<gadget id="calculator">9_100 * 12</gadget>
<output>109_200</output>
<gadget id="calculator">109_200 / 2</gadget>
<output>54_600</output>
<gadget id="calculator">3 * 100</gadget>
<output>300</output>
<gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">6 * 10</gadget>
<output>60</output>
<gadget id="calculator">300 + 60</gadget>
<output>360</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">360 + 5</gadget>
<output>365</output>
<gadget id="calculator">54_600 / 365</gadget>
<output>10_920/73 = around 149.589041</output>
<result>B</result> | B | 149 | A salt manufacturing company produced a total of 4000 tonnes of salt in January of a particular year. Starting from February its production increased by 100 tonnes every month over the previous months until the end of the year. Find its ave66rage daily production for that year? | {
"A": "140",
"B": "149",
"C": "156",
"D": "195",
"E": "100"
} | divide(divide(multiply(add(multiply(4000, const_2), multiply(subtract(const_12, const_1), 100)), const_12), const_2), add(add(multiply(const_3, 100), multiply(multiply(const_2, const_3), const_10)), add(const_2, const_3))) | add(const_2,const_3)|multiply(n0,const_2)|multiply(n1,const_3)|multiply(const_2,const_3)|subtract(const_12,const_1)|multiply(n1,#4)|multiply(#3,const_10)|add(#1,#5)|add(#2,#6)|add(#8,#0)|multiply(#7,const_12)|divide(#10,const_2)|divide(#11,#9)| | "total production of salt by the company in that year = 4000 + 4100 + 4200 + . . . . + 5100 = 54600 . average monthly production of salt for that year = 54600 / 365 â ‰ ˆ 149 answer : b" | general |
math_qa__FSYcXsepb3bUh30F | A little girl is numbering her collection of butterflies by placing single-digit stickers under each specimen. If the girl has 330 butterflies, how many stickers does she need? (The numbers are consecutive and the number of the first butterfly is 1). Choose the correct choice from the following answers.
A) 882
B) 901
C) 1001
D) 1003
E) 1346 | <gadget id="calculator">330 - 100</gadget>
<output>230</output>
<gadget id="calculator">230 + 1</gadget>
<output>231</output>
<gadget id="calculator">231 * 3</gadget>
<output>693</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">9 * 10</gadget>
<output>90</output>
<gadget id="calculator">90 * 2</gadget>
<output>180</output>
<gadget id="calculator">9 + 180</gadget>
<output>189</output>
<gadget id="calculator">693 + 189</gadget>
<output>882</output>
<result>A</result> | A | 882 | A little girl is numbering her collection of butterflies by placing single-digit stickers under each specimen. If the girl has 330 butterflies, how many stickers does she need? (The numbers are consecutive and the number of the first butterfly is 1). | {
"A": "882",
"B": "901",
"C": "1001",
"D": "1003",
"E": "1346"
} | add(multiply(add(subtract(330, const_100), const_1), const_3), add(multiply(const_3, const_3), multiply(multiply(multiply(const_3, const_3), const_10), const_2))) | multiply(const_3,const_3)|subtract(n0,const_100)|add(#1,const_1)|multiply(#0,const_10)|multiply(#3,const_2)|multiply(#2,const_3)|add(#0,#4)|add(#6,#5) | for the first 9 butterflies we need 9 stickers . for the next 90 we need 2 stickers each or 180 stickers . for the next 900 butterflies we need 3 stickers each . the first 99 butterflies correspond to 189 stickers . subtract 99 from the total number of butterflies ( 330 ) . this leaves 231 butterflies that use 3 stickers each . so , multiply 231 by 3 to get 693 . add 693 to 189 stickers to get 882 stickers . answer : a | physics |
math_qa__tKOfVfOttauEv185 | A batsman in his 17th innings makes a score of 80, and thereby increases his average by 2. What is his average after the 17th innings? He had never been ’not out’.
Select the correct option:
A) 48 B) 37 C) 39 D) 43 E) 42 | <gadget id="calculator">2 * 17</gadget>
<output>34</output>
<gadget id="calculator">80 - 34</gadget>
<output>46</output>
<gadget id="calculator">46 + 2</gadget>
<output>48</output>
<result>A</result> | A | 48 | A batsman in his 17th innings makes a score of 80, and thereby increases his average by 2. What is his average after the 17th innings? He had never been ’not out’. | {
"A": "48",
"B": "37",
"C": "39",
"D": "43",
"E": "42"
} | add(subtract(80, multiply(2, 17)), 2) | multiply(n0,n2)|subtract(n1,#0)|add(n2,#1)| | "average score before 17 th innings = 80 - 2 × 17 = 46 average score after 17 th innings = > 46 + 2 = 48 answer : a" | general |
math_qa__P4QlsiodPSdob9OR | A trader bought a car at 20% discount on its original price. He sold it at a 45% increase on the price he bought it. What percent of profit did he make on the original price?
Pick one:
A) 10 % B) 12 % C) 16 % D) 20 % E) 22 % | <gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">100 + 45</gadget>
<output>145</output>
<gadget id="calculator">80 * 145</gadget>
<output>11_600</output>
<gadget id="calculator">11_600 / 100</gadget>
<output>116</output>
<gadget id="calculator">116 / 100</gadget>
<output>29/25 = around 1.16</output>
<gadget id="calculator">(29/25) - 1</gadget>
<output>4/25 = around 0.16</output>
<gadget id="calculator">(4/25) * 100</gadget>
<output>16</output>
<result>C</result> | C | 16 | A trader bought a car at 20% discount on its original price. He sold it at a 45% increase on the price he bought it. What percent of profit did he make on the original price? | {
"A": "10 %",
"B": "12 %",
"C": "16 %",
"D": "20 %",
"E": "22 %"
} | multiply(subtract(divide(divide(multiply(subtract(const_100, 20), add(const_100, 45)), const_100), const_100), const_1), const_100) | add(n1,const_100)|subtract(const_100,n0)|multiply(#0,#1)|divide(#2,const_100)|divide(#3,const_100)|subtract(#4,const_1)|multiply(#5,const_100)| | "original price = 100 cp = 80 s = 80 * ( 145 / 100 ) = 116 100 - 116 = 16 % c )" | gain |
math_qa__IGxPbIFf4spwemd3 | The diagonal of the floor of a rectangular closet is 7 feet. The shorter side of the closet is 4 feet. What is the area of the closet in square feet? Select:
A) 20 sq . ft
B) 27 sq . ft
C) 37 sq . ft
D) 47 sq . ft
E) 57 sq . ft | <gadget id="calculator">7 * 2</gadget>
<output>14</output>
<gadget id="calculator">14 + 1</gadget>
<output>15</output>
<gadget id="calculator">15 / 2</gadget>
<output>15/2 = around 7.5</output>
<gadget id="calculator">(15/2) ** 2</gadget>
<output>225/4 = around 56.25</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">8 + 1</gadget>
<output>9</output>
<gadget id="calculator">9 / 2</gadget>
<output>9/2 = around 4.5</output>
<gadget id="calculator">(9/2) ** 2</gadget>
<output>81/4 = around 20.25</output>
<gadget id="calculator">(225/4) - (81/4)</gadget>
<output>36</output>
<gadget id="calculator">36 ** (1/2)</gadget>
<output>6</output>
<gadget id="calculator">6 * (9/2)</gadget>
<output>27</output>
<result>B</result> | B | 27 | The diagonal of the floor of a rectangular closet is 7 feet. The shorter side of the closet is 4 feet. What is the area of the closet in square feet? | {
"A": "20 sq . ft",
"B": "27 sq . ft",
"C": "37 sq . ft",
"D": "47 sq . ft",
"E": "57 sq . ft"
} | rectangle_area(sqrt(subtract(power(divide(add(multiply(7, const_2), const_1), const_2), const_2), power(divide(add(multiply(const_4, const_2), const_1), const_2), const_2))), divide(add(multiply(const_4, const_2), const_1), const_2)) | multiply(const_2,const_4)|multiply(n0,const_2)|add(#0,const_1)|add(#1,const_1)|divide(#2,const_2)|divide(#3,const_2)|power(#5,const_2)|power(#4,const_2)|subtract(#6,#7)|sqrt(#8)|rectangle_area(#4,#9) | other side = 15 2 - 9 2 2 2 ft = 225 - 81 4 4 ft = 144 4 ft = 6 ft . area of closet = ( 6 x 4.5 ) sq . ft = 27 sq . ft . b ) | geometry |
math_qa__CNY0cak3CFET5thJ | whats the reminder when 445876 , 985420 , 215546 , 656452 is divided by 8 Choose one:
A) 1 B) 7 . C) 4 D) 3 E) 9 | <gadget id="calculator">445_876 % 8</gadget>
<output>4</output>
<result>C</result> | C | 4 | whats the reminder when 445876 , 985420 , 215546 , 656452 is divided by 8 | {
"A": "1",
"B": "7 .",
"C": "4",
"D": "3",
"E": "9"
} | reminder(445876, 8) | reminder(n0,n4) | a number ending in a 0 is divisible by 2 . a number ending in 2 zeroes is divisible by 4 . a number ending in 3 zeroes is divisible by 8 . given the obscene number , you should immediately be convinced that you will need to focus on a very small part of it . 445876 , 985420 , 215546 , 656452 = 445876 , 985420 , 215546 , 656000 + 452 the first number is divisible by 8 . you just have to find the remainder when you divide 452 by 8 . that will be the remainder when you divide the original number by 8 . 452 / 8 gives remainder 4 . answer ( c ) | general |
math_qa__ClJcOFKfrLzsMWMs | Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 10 minutes earlier than usual. How much time did the man spend walking? Choose the correct choice:
A) 45 minutes B) 50 minutes C) 55 minutes D) 52 minutes E) 35 minutes | <gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">60 - 5</gadget>
<output>55</output>
<result>C</result> | C | 55 | Each day a man meets his wife at the train station after work, and then she drives him home. She always arrives exactly on time to pick him up. One day he catches an earlier train and arrives at the station an hour early. He immediately begins walking home along the same route the wife drives. Eventually his wife sees him on her way to the station and drives him the rest of the way home. When they arrive home the man notices that they arrived 10 minutes earlier than usual. How much time did the man spend walking? | {
"A": "45 minutes",
"B": "50 minutes",
"C": "55 minutes",
"D": "52 minutes",
"E": "35 minutes"
} | subtract(const_60, divide(10, const_2)) | divide(n0,const_2)|subtract(const_60,#0) | as they arrived 10 minutes earlier than usual , they saved 10 minutes on round trip from home to station ( home - station - home ) - - > 5 minutes in each direction ( home - station ) - - > wife meets husband 5 minutes earlier the usual meeting time - - > husband arrived an hour earlier the usual meeting time , so he must have spent waking the rest of the time before their meeting , which is hour - 5 minutes = 55 minutes . answer : c | physics |
math_qa__E6mu5VdaLKK0z0fr | In what time will a railway train 75 m long moving at the rate of 50 kmph pass a telegraph post on its way? Choose the correct choice from the following.
A) 3 B) 5.4 C) 4.3 D) 6.5 E) 7 | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">50 * (5/18)</gadget>
<output>125/9 = around 13.888889</output>
<gadget id="calculator">75 / (125/9)</gadget>
<output>27/5 = around 5.4</output>
<result>B</result> | B | 5.4 | In what time will a railway train 75 m long moving at the rate of 50 kmph pass a telegraph post on its way? | {
"A": "3",
"B": "5.4",
"C": "4.3",
"D": "6.5",
"E": "7"
} | divide(75, multiply(50, const_0_2778)) | multiply(n1,const_0_2778)|divide(n0,#0)| | "t = 75 / 50 * 18 / 5 = 5.4 sec answer : b" | physics |
math_qa__YqtXIiHsKdU8oThb | The sum of two numbers is 64, and one of them is 12 more than the other. What are the two numbers? Answers: A) 26 - 38 B) 50 - 34 C) 60 - 24 D) 42 - 42 E) 21 - 63 | <gadget id="calculator">64 - 12</gadget>
<output>52</output>
<gadget id="calculator">52 / 2</gadget>
<output>26</output>
<result>A</result> | A | 26 | The sum of two numbers is 64, and one of them is 12 more than the other. What are the two numbers? | {
"A": "26 - 38",
"B": "50 - 34",
"C": "60 - 24",
"D": "42 - 42",
"E": "21 - 63"
} | divide(subtract(64, 12), const_2) | subtract(n0,n1)|divide(#0,const_2)| | "in this problem , we are asked to find two numbers . therefore , we must let x be one of them . let x , then , be the first number . we are told that the other number is 12 more , x + 12 . the problem states that their sum is 64 : word problem = 64 the line over x + 12 is a grouping symbol called a vinculum . it saves us writing parentheses . we have : 2 x = 64 â ˆ ’ 12 = 52 . x = 52 / 2 = 26 . this is the first number . therefore the other number is x + 12 = 26 + 12 = 38 . the sum of 26 + 38 is 64 . a" | general |
math_qa__S0QJsHt77ZwX33bZ | A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is Pick:
A) 14 years B) 18 years C) 20 years D) 22 years E) none | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">24 - 2</gadget>
<output>22</output>
<gadget id="calculator">2 - 1</gadget>
<output>1</output>
<gadget id="calculator">22 / 1</gadget>
<output>22</output>
<result>D</result> | D | 22 | A man is 24 years older than his son. In two years, his age will be twice the age of his son. The present age of the son is | {
"A": "14 years",
"B": "18 years",
"C": "20 years",
"D": "22 years",
"E": "none"
} | divide(subtract(24, 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)| | "solution let the son ' s present age be x years . then , man ' s present age = ( x + 24 ) years . then ‹ = › ( x + 24 ) + 2 = 2 ( x + 2 ) ‹ = › x + 26 = 2 x + 4 x = 22 . answer d" | general |
math_qa__ooSW9HiolMuKSEWp | Yearly subscription to professional magazines cost a company $940.00. To Make a 30% cut in the magazine budget, how much less must be spent?
Choose the correct answer: A) 654 B) 655 C) 656 D) 657 E) 658 | <gadget id="calculator">100 - 30</gadget>
<output>70</output>
<gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">(7/10) * 940</gadget>
<output>658</output>
<result>E</result> | E | 658 | Yearly subscription to professional magazines cost a company $940.00. To Make a 30% cut in the magazine budget, how much less must be spent? | {
"A": "654",
"B": "655",
"C": "656",
"D": "657",
"E": "658"
} | multiply(divide(subtract(const_100, 30), const_100), 940.00) | subtract(const_100,n1)|divide(#0,const_100)|multiply(n0,#1)| | "total cost 940 940 * 30 / 100 = 282 so the cut in amount is 282 the less amount to be spend is 940 - 282 = 658 answer : e" | general |
math_qa__IFAR4S1ibfl9frhp | Water is leaking out from a cylinder container at the rate of 0.31 m^3 per minute. After 10 minutes, the water level decreases 9 meters. What is value of the radius in meters? Choose the correct choice from the following answers
A) 1 / 2
B) 1 / 3
C) 1.5
D) 3
E) 6 | <gadget id="calculator">10 * 0.31</gadget>
<output>3.1</output>
<gadget id="calculator">3.1 / 9</gadget>
<output>0.344444</output>
<result>B</result> | B | 0.333333 | Water is leaking out from a cylinder container at the rate of 0.31 m^3 per minute. After 10 minutes, the water level decreases 9 meters. What is value of the radius in meters? | {
"A": "1 / 2",
"B": "1 / 3",
"C": "1.5",
"D": "3",
"E": "6"
} | divide(multiply(10, 0.31), 9) | multiply(n0,n2)|divide(#0,n3) | 10 * 0.31 = 3.1 = pi * r ^ 2 * h r ^ 2 = 3.1 / ( pi * 9 ) which is about 1 / 9 r = 1 / 3 the answer is b . | physics |
math_qa__bkltl1848NjmiqXC | If the wheel is 15 cm then the number of revolutions to cover a distance of 1540 cm is?
Choose one.
A) 11 B) 14 C) 18 D) 12 E) 16 | <gadget id="calculator">3 * 100</gadget>
<output>300</output>
<gadget id="calculator">1 * 10</gadget>
<output>10</output>
<gadget id="calculator">300 + 10</gadget>
<output>310</output>
<gadget id="calculator">310 + 4</gadget>
<output>314</output>
<gadget id="calculator">314 / 100</gadget>
<output>157/50 = around 3.14</output>
<gadget id="calculator">2 * (157/50)</gadget>
<output>157/25 = around 6.28</output>
<gadget id="calculator">(157/25) * 15</gadget>
<output>471/5 = around 94.2</output>
<gadget id="calculator">1_540 / (471/5)</gadget>
<output>7_700/471 = around 16.348195</output>
<result>E</result> | E | 16 | If the wheel is 15 cm then the number of revolutions to cover a distance of 1540 cm is? | {
"A": "11",
"B": "14",
"C": "18",
"D": "12",
"E": "16"
} | divide(1540, multiply(multiply(const_2, divide(add(add(multiply(const_3, const_100), multiply(const_1, const_10)), const_4), const_100)), 15)) | multiply(const_100,const_3)|multiply(const_1,const_10)|add(#0,#1)|add(#2,const_4)|divide(#3,const_100)|multiply(#4,const_2)|multiply(n0,#5)|divide(n1,#6)| | "2 * 22 / 7 * 15 * x = 1540 = > x = 16 answer : e" | physics |
math_qa__1CuW62Hyi0ifVTb1 | You enter a weight loss challenge game and manage to lose 14% of your body weight. For the final weigh in you are forced to wear clothes that add 2% to your weight. What percentage of weight loss is measured at the final weigh in?
Pick.
A) 13 % B) 9.22 % C) 9 % D) 14 % E) 12.28 % | <gadget id="calculator">14 / 100</gadget>
<output>7/50 = around 0.14</output>
<gadget id="calculator">1 - (7/50)</gadget>
<output>43/50 = around 0.86</output>
<gadget id="calculator">2 / 100</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">1 + (1/50)</gadget>
<output>51/50 = around 1.02</output>
<gadget id="calculator">(43/50) * (51/50)</gadget>
<output>2_193/2_500 = around 0.8772</output>
<gadget id="calculator">1 - (2_193/2_500)</gadget>
<output>307/2_500 = around 0.1228</output>
<gadget id="calculator">(307/2_500) * 100</gadget>
<output>307/25 = around 12.28</output>
<result>E</result> | E | 12.28 | You enter a weight loss challenge game and manage to lose 14% of your body weight. For the final weigh in you are forced to wear clothes that add 2% to your weight. What percentage of weight loss is measured at the final weigh in? | {
"A": "13 %",
"B": "9.22 %",
"C": "9 %",
"D": "14 %",
"E": "12.28 %"
} | multiply(subtract(const_1, multiply(subtract(const_1, divide(14, const_100)), add(const_1, divide(2, const_100)))), const_100) | divide(n1,const_100)|divide(n0,const_100)|add(#0,const_1)|subtract(const_1,#1)|multiply(#2,#3)|subtract(const_1,#4)|multiply(#5,const_100)| | "( 100 % - 14 % ) * ( 100 % + 2 % ) = 0.86 * 1.02 = 12.28 % the weigh in records your weight loss at 12.28 % ! the answer is e" | gain |
math_qa__JNyghEULu8NWXnTu | In What proportion must flour at $0.8 per pound be mixed with flour at $0.9 per pound so that the mixture costs $0.865 per pound?
Choose the correct answer.
A) 1 : 3 B) 1 : 2 C) 1 : 1 D) 2 : 1 E) 3 : 1 | <gadget id="calculator">0.8 + 0.9</gadget>
<output>1.7</output>
<gadget id="calculator">0.865 / 1.7</gadget>
<output>0.508824</output>
<result>B</result> | B | 0.5 | In What proportion must flour at $0.8 per pound be mixed with flour at $0.9 per pound so that the mixture costs $0.865 per pound? | {
"A": "1 : 3",
"B": "1 : 2",
"C": "1 : 1",
"D": "2 : 1",
"E": "3 : 1"
} | divide(0.865, add(0.8, 0.9)) | add(n0,n1)|divide(n2,#0) | using weighted average method : let x be the proportion in which the $ 0.8 per pound flour is mixed with $ 0.9 per pound flour . thus 0.8 * x + 0.9 * ( 1 - x ) = 0.865 0.9 – 0.1 x = 0.865 x = 0.35 thus ratio of both flours is 1 : 2 b | general |
math_qa__gaeAYsGtsGGPvkgo | An escalator moves towards the top level at the rate of 15 ft.sec and its length is 200 feet. If a person walks on the moving escalator at the rate of 5 feet per second towards the top level, how much time does he take to cover the entire length.
Choose the most appropriate option:
A) 5 sec B) 10 sec C) 20 sec D) 15 sec E) 25 sec | <gadget id="calculator">15 + 5</gadget>
<output>20</output>
<gadget id="calculator">200 / 20</gadget>
<output>10</output>
<result>B</result> | B | 10 | An escalator moves towards the top level at the rate of 15 ft.sec and its length is 200 feet. If a person walks on the moving escalator at the rate of 5 feet per second towards the top level, how much time does he take to cover the entire length. | {
"A": "5 sec",
"B": "10 sec",
"C": "20 sec",
"D": "15 sec",
"E": "25 sec"
} | divide(200, add(15, 5)) | add(n0,n2)|divide(n1,#0)| | "explanation : time taken to cover the entire length = tot . dist / resultant speed = 200 / ( 15 + 5 ) = 10 sec answer : b" | gain |
math_qa__r6VvSf903yTCA9Uu | 4 barrels of water have an average capacity of 8 gallons . what is the maximum possible capacity of the smallest barrel e if the median is 10 gallons ? Choose the correct choice from the following answers: A) 1 B) 2 C) 3 D) 4 E) 5 | <gadget id="calculator">8 * 2</gadget>
<output>16</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">16 + 8</gadget>
<output>24</output>
<gadget id="calculator">24 - 12</gadget>
<output>12</output>
<gadget id="calculator">12 - 10</gadget>
<output>2</output>
<result>B</result> | B | 2 | 4 barrels of water have an average capacity of 8 gallons . what is the maximum possible capacity of the smallest barrel e if the median is 10 gallons ? | {
"A": "1",
"B": "2",
"C": "3",
"D": "4",
"E": "5"
} | subtract(subtract(add(multiply(8, const_2), multiply(4, const_2)), const_12), 10) | multiply(n1,const_2)|multiply(n0,const_2)|add(#0,#1)|subtract(#2,const_12)|subtract(#3,n2) | suppose 4 barrels are b 1 , b 2 , b 3 , b 4 in ascending capacity . ( b 1 + b 2 + b 3 + b 4 ) / 4 = 8 b 1 + b 2 + b 3 + b 4 = 32 median is 10 . . . . . . . as the no . of terms are even i . e 4 , median = ( b 2 + b 3 ) / 2 = = > b 2 + b 3 = 20 now we have b 1 + b 4 = 32 - 20 = 12 only the following possible cases can be there : 19 , 1111 110 , 1011 210 , 1010 max value of smallest barrel e = 2 = b | general |
math_qa__OKDXnQKXgRaj4Smt | The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.1200, then what is the income of P1?
Options
A) s . 800 B) s . 2400 C) s . 3000 D) s . 3200 E) s . 4200 | <gadget id="calculator">1_200 / 2</gadget>
<output>600</output>
<gadget id="calculator">600 * 3</gadget>
<output>1_800</output>
<gadget id="calculator">1_800 - 1_200</gadget>
<output>600</output>
<gadget id="calculator">600 * 5</gadget>
<output>3_000</output>
<result>C</result> | C | 3,000 | The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.1200, then what is the income of P1? | {
"A": "s . 800",
"B": "s . 2400",
"C": "s . 3000",
"D": "s . 3200",
"E": "s . 4200"
} | multiply(subtract(multiply(divide(1200, 2), 3), 1200), 5) | divide(n6,n1)|multiply(n4,#0)|subtract(#1,n6)|multiply(n2,#2)| | "let the income of p 1 and p 2 be rs . 5 x and rs . 4 x respectively and let their expenditures be rs . 3 y and 2 y respectively . then , 5 x – 3 y = 1200 … ( i ) and 4 x – 2 y = 1200 … … . . ( ii ) on multiplying ( i ) by 2 , ( ii ) by 3 and subtracting , we get : 2 x = 1200 - > x = 600 p 1 ’ s income = rs 5 * 600 = rs . 3000 answer : c" | other |
math_qa__wLQZVwmhj88Y9Of1 | in a two - digit number , if it is known that its unit ' s digit exceeds its 10 ' s digit by 2 and that the product of the given number and the sum of its digits is equal to 144 , then the number is : Answers:
A) 24
B) 26
C) 42
D) 46
E) 48 | <gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">11 * 2</gadget>
<output>22</output>
<gadget id="calculator">22 + 2</gadget>
<output>24</output>
<result>A</result> | A | 24 | in a two - digit number , if it is known that its unit ' s digit exceeds its 10 ' s digit by 2 and that the product of the given number and the sum of its digits is equal to 144 , then the number is : | {
"A": "24",
"B": "26",
"C": "42",
"D": "46",
"E": "48"
} | add(multiply(add(10, const_1), 2), 2) | add(n0,const_1)|multiply(n1,#0)|add(n1,#1) | let the ten ' s digit be x . then , unit ' s digit = x + 2 . number = 10 x + ( x + 2 ) = 11 x + 2 sum of digits = x + ( x + 2 ) = 2 x + 2 ( 11 x + 2 ) ( 2 x + 2 ) = 144 2 x 2 + 26 x - 140 = 0 ( x - 2 ) ( 11 x + 35 ) = 0 x = 2 hence , required number = 11 x + 2 = 24 . answer : a | general |
math_qa__7AzSDIXeMOysBaxh | Priya takes a trip and drives 5 hours from Town X to Town Z at a rate of 50 miles per hour. On her way back, Priya drives 60 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Scott to drive from Town Z to Town Y? Choose the most appropriate option.
A) 3.0
B) 2.25
C) 2.08
D) 1.75
E) 2.0 | <gadget id="calculator">5 * 50</gadget>
<output>250</output>
<gadget id="calculator">250 / 2</gadget>
<output>125</output>
<gadget id="calculator">125 / 60</gadget>
<output>25/12 = around 2.083333</output>
<result>C</result> | C | 2.08 | Priya takes a trip and drives 5 hours from Town X to Town Z at a rate of 50 miles per hour. On her way back, Priya drives 60 miles per hour and stops in Town Y which is midway between Town X and Town Z. How many hours does it take Scott to drive from Town Z to Town Y? | {
"A": "3.0",
"B": "2.25",
"C": "2.08",
"D": "1.75",
"E": "2.0"
} | divide(divide(multiply(5, 50), const_2), 60) | multiply(n0,n1)|divide(#0,const_2)|divide(#1,n2) | distance from x to z = 5 hr * 50 mph = 250 miles hence distance from y to z = 1 / 2 * 250 = 125 time = 125 / 60 = 2.08 hrs imo : c | physics |
math_qa__hhejWmSGDIIGefDf | In a ratio which is equal to 4:6, if the antecedent is 50, then the consequent is?
Choose the correct choice from the following answers: A) 75 B) 85 C) 64 D) 51 E) 45 | <gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">50 + 25</gadget>
<output>75</output>
<result>A</result> | A | 75 | In a ratio which is equal to 4:6, if the antecedent is 50, then the consequent is? | {
"A": "75",
"B": "85",
"C": "64",
"D": "51",
"E": "45"
} | add(50, divide(50, const_2)) | divide(n2,const_2)|add(n2,#0) | we have 4 / 6 = 50 / x 4 x = 50 * 6 x = 75 consequent = 75 answer is a | other |
math_qa__gPswA2ttOF3kb9xP | Shekar scored 76, 65, 82, 67 and 85 marks in Mathematics, Science, Social studies, English and Biology respectively. What are his average marks? Choose the correct choice.
A) 65
B) 69
C) 75
D) 85
E) 90 | <gadget id="calculator">76 + 65</gadget>
<output>141</output>
<gadget id="calculator">141 + 82</gadget>
<output>223</output>
<gadget id="calculator">223 + 67</gadget>
<output>290</output>
<gadget id="calculator">290 + 85</gadget>
<output>375</output>
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">375 / 5</gadget>
<output>75</output>
<result>C</result> | C | 75 | Shekar scored 76, 65, 82, 67 and 85 marks in Mathematics, Science, Social studies, English and Biology respectively. What are his average marks? | {
"A": "65",
"B": "69",
"C": "75",
"D": "85",
"E": "90"
} | divide(add(add(add(add(76, 65), 82), 67), 85), add(const_1, const_4)) | add(n0,n1)|add(const_1,const_4)|add(n2,#0)|add(n3,#2)|add(n4,#3)|divide(#4,#1)| | "explanation : average = ( 76 + 65 + 82 + 67 + 85 ) / 5 = 375 / 5 = 75 hence average = 75 answer : c" | general |
math_qa__z7UJxt9QCdYZ5dbb | An escalator moves towards the top level at the rate of 12 ft.sec and its length is 210 feet. If a person walks on the moving escalator at the rate of 2 feet per second towards the top level, how much time does he take to cover the entire length. Choose the correct choice from the following answers:
A) 15 sec B) 10 sec C) 12 sec D) 8 sec E) 9 sec | <gadget id="calculator">12 + 2</gadget>
<output>14</output>
<gadget id="calculator">210 / 14</gadget>
<output>15</output>
<result>A</result> | A | 15 | An escalator moves towards the top level at the rate of 12 ft.sec and its length is 210 feet. If a person walks on the moving escalator at the rate of 2 feet per second towards the top level, how much time does he take to cover the entire length. | {
"A": "15 sec",
"B": "10 sec",
"C": "12 sec",
"D": "8 sec",
"E": "9 sec"
} | divide(210, add(12, 2)) | add(n0,n2)|divide(n1,#0)| | "time taken to cover the entire length = tot . dist / resultant speed = 210 / ( 12 + 2 ) = 15 sec answer : a" | gain |
math_qa__LlSh9udwaoM3kaKI | Two employees X and Y are paid a total of Rs. 800 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week? Choose one.
A) s . 200.63
B) s . 250.63
C) s . 290.63
D) s . 300.63
E) s . 363.63 | <gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">800 * 10</gadget>
<output>8_000</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">11 * 2</gadget>
<output>22</output>
<gadget id="calculator">8_000 / 22</gadget>
<output>4_000/11 = around 363.636364</output>
<result>E</result> | E | 363.63 | Two employees X and Y are paid a total of Rs. 800 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 . 200.63",
"B": "s . 250.63",
"C": "s . 290.63",
"D": "s . 300.63",
"E": "s . 363.63"
} | divide(multiply(800, 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 = 800 but x = 120 % of y = 120 y / 100 = 12 y / 10 ∴ 12 y / 10 + y = 800 ⇒ y [ 12 / 10 + 1 ] = 800 ⇒ 22 y / 10 = 800 ⇒ 22 y = 8000 ⇒ y = 8000 / 22 = rs . 363.63 e )" | general |
math_qa__OX13PMVIMllF7nlq | Elena’s bread recipe calls for 5 ounces of butter for each 7 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed?
Options:
A) 1 B) 4 C) 9 D) 13 E) 28 | <gadget id="calculator">7 * 4</gadget>
<output>28</output>
<result>E</result> | E | 28 | Elena’s bread recipe calls for 5 ounces of butter for each 7 cups of flour used. She needs to make 4 times the original recipe. If 12 ounces of butter is used, then how many cups of flour are needed? | {
"A": "1",
"B": "4",
"C": "9",
"D": "13",
"E": "28"
} | multiply(7, 4) | multiply(n1,n2) | solving through algebra route : 5 b + 7 f = x amount if we multiply this equation with 4 we get : 20 b + 28 f = 4 x therefore , we got 20 ounces of butter and 4 x amount of quantity when we use 28 ounces of floor . ans : e | general |
math_qa__gOyDzGHXC4FKgwwM | tom left a job paying $ 75000 per year to accept a sales job paying $ 45000 per year plus 15 percent commission . if each of his sales is for $ 750 , what is the least number of sales he must make per year if he is not to lose money because of the change ? Choose the correct choice from the following answers
A) 40 B) 200 C) 266 D) 267 E) 600 | <gadget id="calculator">75_000 - 45_000</gadget>
<output>30_000</output>
<gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">(3/20) * 750</gadget>
<output>225/2 = around 112.5</output>
<gadget id="calculator">30_000 / (225/2)</gadget>
<output>800/3 = around 266.666667</output>
<result>D</result> | D | 267 | tom left a job paying $ 75000 per year to accept a sales job paying $ 45000 per year plus 15 percent commission . if each of his sales is for $ 750 , what is the least number of sales he must make per year if he is not to lose money because of the change ? | {
"A": "40",
"B": "200",
"C": "266",
"D": "267",
"E": "600"
} | divide(subtract(75000, 45000), multiply(divide(15, const_100), 750)) | divide(n2,const_100)|subtract(n0,n1)|multiply(n3,#0)|divide(#1,#2) | in order not to lose money because of the change tom ' s total commission must beat least $ 75000 - $ 45000 = $ 30000 , so total sales must beat least $ 30000 / 0.15 = $ 200000 . which means that he must makeat least $ 200000 / 750 = 800 / 3 = 266.6 sales , so 267 sales . answer : d . | general |
math_qa__CQkS7HKsk4uzs7gn | There are 192 items that are members of set U. Of these items, 49 are members of set B, 59 are not members of either of set A or set B, and 23 are members of both sets A and B. How many of the members of set U are members of set A ? Pick one.
A) 72
B) 85
C) 107
D) 98
E) 108 | <gadget id="calculator">192 - 59</gadget>
<output>133</output>
<gadget id="calculator">133 + 23</gadget>
<output>156</output>
<gadget id="calculator">156 - 49</gadget>
<output>107</output>
<result>C</result> | C | 107 | There are 192 items that are members of set U. Of these items, 49 are members of set B, 59 are not members of either of set A or set B, and 23 are members of both sets A and B. How many of the members of set U are members of set A ? | {
"A": "72",
"B": "85",
"C": "107",
"D": "98",
"E": "108"
} | subtract(add(subtract(192, 59), 23), 49) | subtract(n0,n2)|add(n3,#0)|subtract(#1,n1)| | "you had the answer almost right . the x = 84 refers to only set a . however what ' s being asked is how many members are part of set a . this will include : 1 . only set a 2 . set a and set b so the answer is set a = 84 + set ab = 84 + 23 = 17 c" | other |
math_qa__5WPCJwSEVAsZ7R9X | A family travelled for 12 hours. They covered the first half of the distance at 35 kmph and remaining half of the distance at 40 kmph. Find the distance travelled by the family? Choose the correct choice from the following choices.
A) 270 km B) 890 km C) 684 km D) 320 km E) 560 km | <gadget id="calculator">35 * 2</gadget>
<output>70</output>
<gadget id="calculator">40 * 2</gadget>
<output>80</output>
<gadget id="calculator">70 * 80</gadget>
<output>5_600</output>
<gadget id="calculator">80 * 1</gadget>
<output>80</output>
<gadget id="calculator">70 * 1</gadget>
<output>70</output>
<gadget id="calculator">80 - 70</gadget>
<output>10</output>
<gadget id="calculator">5_600 / 10</gadget>
<output>560</output>
<result>E</result> | E | 560 | A family travelled for 12 hours. They covered the first half of the distance at 35 kmph and remaining half of the distance at 40 kmph. Find the distance travelled by the family? | {
"A": "270 km",
"B": "890 km",
"C": "684 km",
"D": "320 km",
"E": "560 km"
} | divide(multiply(multiply(35, const_2), multiply(40, const_2)), subtract(multiply(multiply(40, const_2), const_1), multiply(multiply(35, const_2), const_1))) | multiply(n1,const_2)|multiply(n2,const_2)|multiply(#0,#1)|multiply(#1,const_1)|multiply(#0,const_1)|subtract(#3,#4)|divide(#2,#5) | let the distance travelled be x km . total time = ( x / 2 ) / 35 + ( x / 2 ) / 40 = 12 = > x / 70 + x / 80 = 12 = > ( 8 x + 7 x ) / 560 = 12 = > x = 560 km answer : e | physics |
math_qa__5DFUZdq4dHtFmRmp | The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.360. Find the principal? Choose the correct choice from the following answers.
A) 2277
B) 2667
C) 9000
D) 2766
E) 1811 | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) + 1</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">(6/5) ** 2</gadget>
<output>36/25 = around 1.44</output>
<gadget id="calculator">(1/5) * 2</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) + 1</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">(36/25) - (7/5)</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">360 / (1/25)</gadget>
<output>9_000</output>
<result>C</result> | C | 9,000 | The difference between the compound interest compounded annually and simple interest for 2 years at 20% per annum is Rs.360. Find the principal? | {
"A": "2277",
"B": "2667",
"C": "9000",
"D": "2766",
"E": "1811"
} | divide(360, subtract(power(add(divide(20, const_100), const_1), 2), add(multiply(divide(20, const_100), 2), const_1))) | divide(n1,const_100)|add(#0,const_1)|multiply(n0,#0)|add(#2,const_1)|power(#1,n0)|subtract(#4,#3)|divide(n2,#5)| | "p = 360 ( 100 / 5 ) ^ 2 = > p = 9000 answer : c" | gain |
math_qa__f3xeuA7wBxdPJ3bO | the average of 6 integers is 63 , and none of these integers is greater than 100 . if the average of 3 of the integers is 65 , what is the least possible value of one of the other two integers ? Pick:
A) 45 B) 62 C) 75 D) 83 E) 90 | <gadget id="calculator">6 * 63</gadget>
<output>378</output>
<gadget id="calculator">3 * 65</gadget>
<output>195</output>
<gadget id="calculator">378 - 195</gadget>
<output>183</output>
<gadget id="calculator">183 - 100</gadget>
<output>83</output>
<result>D</result> | D | 83 | the average of 6 integers is 63 , and none of these integers is greater than 100 . if the average of 3 of the integers is 65 , what is the least possible value of one of the other two integers ? | {
"A": "45",
"B": "62",
"C": "75",
"D": "83",
"E": "90"
} | subtract(subtract(multiply(6, 63), multiply(3, 65)), 100) | multiply(n0,n1)|multiply(n3,n4)|subtract(#0,#1)|subtract(#2,n2) | when it comes to averages , we know thataverage value = ( sum of n values ) / n we can rewrite this into a useful formula : sum of n values = ( average value ) ( n ) the average of five integers is 63 so , the sum of all 5 integers = ( 63 ) ( 6 ) = 378 the average of three of the integers is 65 so , the sum of the 3 integers = ( 65 ) ( 3 ) = 195 so , the sum of the 2 remaining integers = 378 - 195 = 183 if the sum of the 2 remaining integers = 183 , and we want to minimize one value , we must maximize the other value . 100 is the maximum value so let 1 integer = 100 , which means the other must equal 83 answer : d | general |
math_qa__6yy6SxiSN0qU2x8S | In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip
was reduced by 200 km/hr and the time of flight increased by 30 minutes. What is the duration of the
flight ?
Choose one: A) 3 hours B) 2.4 hours C) 1.4 hours D) 1 hour E) none of these | <gadget id="calculator">200 * 30</gadget>
<output>6_000</output>
<gadget id="calculator">6_000 / 10</gadget>
<output>600</output>
<gadget id="calculator">600 / 600</gadget>
<output>1</output>
<result>D</result> | D | 1 | In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip
was reduced by 200 km/hr and the time of flight increased by 30 minutes. What is the duration of the
flight ? | {
"A": "3 hours",
"B": "2.4 hours",
"C": "1.4 hours",
"D": "1 hour",
"E": "none of these"
} | divide(600, divide(multiply(200, 30), const_10)) | multiply(n1,n2)|divide(#0,const_10)|divide(n0,#1)| | "explanation : let the duration of the flight be x hours . then 600 / x − 600 / x + 1 / 2 = 200 600 / x − 1200 / 2 x + 1 = 200 x ( 2 x + 1 ) = 3 2 x 2 + x − 3 = 0 = > ( 2 x + 3 ) ( x − 1 ) = 0 neglecting the negative value for x we get x = 1 option d" | general |
math_qa__zU9NQPHIvX6YPB6d | A 140 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be? Choose the correct choice from the following answers: A) 35 B) 20 C) 47 D) 36 E) 40 | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) + 1</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">140 / (7/5)</gadget>
<output>100</output>
<gadget id="calculator">140 - 100</gadget>
<output>40</output>
<result>E</result> | E | 40 | A 140 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be? | {
"A": "35",
"B": "20",
"C": "47",
"D": "36",
"E": "40"
} | subtract(140, divide(140, add(divide(2, 5), const_1))) | divide(n1,n2)|add(#0,const_1)|divide(n0,#1)|subtract(n0,#2)| | "1 : 2 / 5 = 5 : 2 2 / 7 * 140 = 40 answer : e" | physics |
math_qa__blqSnRkJWgiUKpnW | A tree is 12 m tall and casts an an 8 m long shadow. At the same time, a flag pole caste a 100 m long shadow. How long is the flag pole ? Options.
A) 150 m B) 200 m C) 125 m D) 115 m E) none | <gadget id="calculator">12 / 8</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">100 * (3/2)</gadget>
<output>150</output>
<result>A</result> | A | 150 | A tree is 12 m tall and casts an an 8 m long shadow. At the same time, a flag pole caste a 100 m long shadow. How long is the flag pole ? | {
"A": "150 m",
"B": "200 m",
"C": "125 m",
"D": "115 m",
"E": "none"
} | multiply(100, divide(12, 8)) | divide(n0,n1)|multiply(n2,#0) | answer ∵ 8 m shadow means original height = 12 m ∴ 1 m shadow means original height = 12 / 8 m ∴ 100 m shadow means original height = ( 12 / 8 ) x 100 m = ( 6 / 4 ) x 100 = 6 x 25 = 150 m correct option : a | physics |
math_qa__aR93bq7Z2D6ZqgnD | If x is equal to the sum of the integers from 20 to 30, inclusive, and y is the number of EVEN integers from 20 to 30, inclusive, what is the value of x+y ? Pick one
A) 171
B) 281
C) 361
D) 461
E) 561 | <gadget id="calculator">20 + 30</gadget>
<output>50</output>
<gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">30 - 20</gadget>
<output>10</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">25 * 11</gadget>
<output>275</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">5 + 1</gadget>
<output>6</output>
<gadget id="calculator">275 + 6</gadget>
<output>281</output>
<result>B</result> | B | 281 | If x is equal to the sum of the integers from 20 to 30, inclusive, and y is the number of EVEN integers from 20 to 30, inclusive, what is the value of x+y ? | {
"A": "171",
"B": "281",
"C": "361",
"D": "461",
"E": "561"
} | add(multiply(divide(add(20, 30), const_2), add(subtract(30, 20), const_1)), add(divide(subtract(30, 20), const_2), const_1)) | add(n0,n1)|subtract(n1,n0)|add(#1,const_1)|divide(#1,const_2)|divide(#0,const_2)|add(#3,const_1)|multiply(#2,#4)|add(#5,#6)| | "sum s = n / 2 { 2 a + ( n - 1 ) d } = 11 / 2 { 2 * 20 + ( 11 - 1 ) * 1 } = 11 * 25 = 275 = x number of even number = ( 30 - 20 ) / 2 + 1 = 6 = y x + y = 275 + 6 = 281 b" | general |
math_qa__XyGwnODxCT5s7tXo | The difference between C.I. and S.I. on an amount of $10,000 for 2 years is $36. What is the rate of interest per annum?
Choose the correct choice from the following options:
A) 5 %
B) 6 %
C) 7 %
D) 8 %
E) 9 % | <gadget id="calculator">36 ** (1/2)</gadget>
<output>6</output>
<result>B</result> | B | 6 | The difference between C.I. and S.I. on an amount of $10,000 for 2 years is $36. What is the rate of interest per annum? | {
"A": "5 %",
"B": "6 %",
"C": "7 %",
"D": "8 %",
"E": "9 %"
} | sqrt(36) | sqrt(n2)| | "$ 36 is the interest on the first year of interest . let x be the interest rate . the interest after the first year is 10000 * x . the interest on the first year ' s interest is 10000 * x * x 10000 * x ^ 2 = 36 x = 0.06 the answer is b ." | gain |
math_qa__n8X8e2Yej28m2Kp2 | There are 60 slots around a circle,numbered 1 to 60. A man starts from the first slot and jumps to the 5th slot.From there he jumps to the 9th slot and so on. In which slot will he land in his
2200th jump? Choose the correct choice from the following answers
A) 1 B) 5 C) 41 D) 45 E) 46 | <gadget id="calculator">2_200 / 60</gadget>
<output>110/3 = around 36.666667</output>
<gadget id="calculator">floor(110/3)</gadget>
<output>36</output>
<gadget id="calculator">(110/3) - 36</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(2/3) * 60</gadget>
<output>40</output>
<result>C</result> | C | 41 | There are 60 slots around a circle,numbered 1 to 60. A man starts from the first slot and jumps to the 5th slot.From there he jumps to the 9th slot and so on. In which slot will he land in his
2200th jump? | {
"A": "1",
"B": "5",
"C": "41",
"D": "45",
"E": "46"
} | multiply(subtract(divide(2200, 60), floor(divide(2200, 60))), 60) | divide(n5,n0)|floor(#0)|subtract(#0,#1)|multiply(n0,#2) | every 15 th jump , he comes back to 1 st position so , 2200 / 15 = remainder 10 hence 10 th position is 41 st slot answer : c | geometry |
math_qa__3x14vr6o4mTUi7iV | A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 6 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled? Select the correct option: A) 5.2 hrs B) 2.9 hrs C) 1.9 hrs D) 6 hrs E) 5 hrs | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/3) - (1/6)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / (1/6)</gadget>
<output>6</output>
<result>D</result> | D | 6 | A cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 6 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled? | {
"A": "5.2 hrs",
"B": "2.9 hrs",
"C": "1.9 hrs",
"D": "6 hrs",
"E": "5 hrs"
} | divide(const_1, subtract(divide(const_1, 3), divide(const_1, 6))) | divide(const_1,n0)|divide(const_1,n1)|subtract(#0,#1)|divide(const_1,#2)| | "net part filled in 1 hour = ( 1 / 3 - 1 / 6 ) = 1 / 6 the cistern will be filled in 6 / 1 hrs i . e . , 6 hrs . answer : d" | physics |
math_qa__6xP3co4oTVeIgzvo | In an election between two candidates, the winner has a margin of 10% of the votes polled. If 3000 people change their mind and vote for the loser, the loser would have won by a margin of 10% of the votes polled. Find the total number of votes polled in the election?
Choose one:
A) 23000 B) 22000 C) 20000 D) 25000 E) 30000 | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">3_000 / (1/10)</gadget>
<output>30_000</output>
<result>E</result> | E | 30,000 | In an election between two candidates, the winner has a margin of 10% of the votes polled. If 3000 people change their mind and vote for the loser, the loser would have won by a margin of 10% of the votes polled. Find the total number of votes polled in the election? | {
"A": "23000",
"B": "22000",
"C": "20000",
"D": "25000",
"E": "30000"
} | divide(3000, divide(10, const_100)) | divide(n0,const_100)|divide(n1,#0)| | "winner - looser 55 % - 45 % if 3000 people change their mind and vote for the loser : winner - looser 45 % - 55 % thus 3,000 people compose 10 % of all voters , which means that the total number of votes is 30,000 . answer : e ." | gain |
math_qa__DxHtRLeuShaECqB0 | a departmental store has 9 managers and 18 associates . the 9 managers have an average salary of $ 1300 . the 18 associates have an average salary of $ 12000 . what is the average salary for the departmental store ? Pick
A) $ 3556.25 B) $ 3988.89 C) $ 3836.56 D) $ 3745.56 E) $ 3428.56 | <gadget id="calculator">9 * 1_300</gadget>
<output>11_700</output>
<gadget id="calculator">18 * 12_000</gadget>
<output>216_000</output>
<gadget id="calculator">11_700 + 216_000</gadget>
<output>227_700</output>
<gadget id="calculator">9 + 18</gadget>
<output>27</output>
<gadget id="calculator">227_700 / 27</gadget>
<output>25_300/3 = around 8_433.333333</output>
<gadget id="calculator">(25_300/3) / 2</gadget>
<output>12_650/3 = around 4_216.666667</output>
<gadget id="calculator">(12_650/3) / 1_000</gadget>
<output>253/60 = around 4.216667</output>
<gadget id="calculator">floor(253/60)</gadget>
<output>4</output>
<gadget id="calculator">4 * 1_000</gadget>
<output>4_000</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">4_000 - 11</gadget>
<output>3_989</output>
<result>B</result> | B | 3,988.89 | a departmental store has 9 managers and 18 associates . the 9 managers have an average salary of $ 1300 . the 18 associates have an average salary of $ 12000 . what is the average salary for the departmental store ? | {
"A": "$ 3556.25",
"B": "$ 3988.89",
"C": "$ 3836.56",
"D": "$ 3745.56",
"E": "$ 3428.56"
} | subtract(multiply(floor(divide(divide(divide(add(multiply(9, 1300), multiply(18, 12000)), add(9, 18)), const_2), const_1000)), const_1000), add(const_10, const_1)) | add(n0,n1)|add(const_1,const_10)|multiply(n0,n3)|multiply(n1,n5)|add(#2,#3)|divide(#4,#0)|divide(#5,const_2)|divide(#6,const_1000)|floor(#7)|multiply(#8,const_1000)|subtract(#9,#1) | number of managers is 9 their average salary is $ 1300 number of associates is 18 their average salary is $ 12,000 total salary of managers is 9 * 1300 = $ 11700 total salary of associates is 18 * 12,000 = $ 96,000 total salary for the departmental store is 96,000 + 11700 = 107700 average salary for the departmental store is 107700 / 9 + 18 = 3988.89 answer is b | general |
math_qa__83F6YEMgxDM0ho02 | Find the fraction which has the same ratio to 2/13 that 5/34 has to 7/48? Choices: A) 240 / 1576 B) 240 / 1542 C) 240 / 1547 D) 240 / 1528 E) 240 / 1529 | <gadget id="calculator">5 / 34</gadget>
<output>5/34 = around 0.147059</output>
<gadget id="calculator">7 / 48</gadget>
<output>7/48 = around 0.145833</output>
<gadget id="calculator">(5/34) / (7/48)</gadget>
<output>120/119 = around 1.008403</output>
<gadget id="calculator">2 / 13</gadget>
<output>2/13 = around 0.153846</output>
<gadget id="calculator">(120/119) * (2/13)</gadget>
<output>240/1_547 = around 0.155139</output>
<result>C</result> | C | 0.155139 | Find the fraction which has the same ratio to 2/13 that 5/34 has to 7/48? | {
"A": "240 / 1576",
"B": "240 / 1542",
"C": "240 / 1547",
"D": "240 / 1528",
"E": "240 / 1529"
} | multiply(divide(divide(5, 34), divide(7, 48)), divide(2, 13)) | divide(n2,n3)|divide(n4,n5)|divide(n0,n1)|divide(#0,#1)|multiply(#3,#2)| | "p : 2 / 13 = 5 / 34 : 7 / 48 as the product of the means is equal to the product of the extremes . p * 7 / 48 = 2 / 13 * 5 / 34 p * 7 / 48 = 10 / 442 p = 480 / 3094 = > p = 240 / 1547 answer : c" | other |
math_qa__q2CZ1WIpdTL3NJIG | A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 70% more recliners. What is the percentage increase of the gross? Select:
A) 10 %
B) 15 %
C) 20 %
D) 36 %
E) 50 % | <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">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">1 + (7/10)</gadget>
<output>17/10 = around 1.7</output>
<gadget id="calculator">(4/5) * (17/10)</gadget>
<output>34/25 = around 1.36</output>
<gadget id="calculator">(34/25) * 100</gadget>
<output>136</output>
<gadget id="calculator">136 - 100</gadget>
<output>36</output>
<result>D</result> | D | 36 | A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 70% more recliners. What is the percentage increase of the gross? | {
"A": "10 %",
"B": "15 %",
"C": "20 %",
"D": "36 %",
"E": "50 %"
} | subtract(multiply(multiply(subtract(const_1, divide(20, const_100)), add(const_1, divide(70, const_100))), const_100), const_100) | divide(n1,const_100)|divide(n0,const_100)|add(#0,const_1)|subtract(const_1,#1)|multiply(#2,#3)|multiply(#4,const_100)|subtract(#5,const_100) | say a recliner is actually worth $ 100 if she sells 100 recliners then she earns $ 10000 after the discount of 20 % , she will earn $ 80 per recliner and she sells 70 % more ie . , 170 recliners hence her sales tields 170 * 80 = $ 13600 increase in sales = 13600 - 10000 = $ 3600 so % increase = 3600 * 100 / 10000 = 36 % d is the answer | general |
math_qa__Yr6qIGxOBrBjI1G3 | Timothy drove at an average speed of 10 mph for some time and then at an average speed of 50 mph for the rest of the journey. If he made no stops during the trip and his average speed for the entire journey was 40 mph, for what fraction of the total time did he drive at 50 mph?
Options: A) 1 / 5 B) 1 / 3 C) 2 / 5 D) 3 / 4 E) 3 / 5 | <gadget id="calculator">40 - 10</gadget>
<output>30</output>
<gadget id="calculator">50 - 40</gadget>
<output>10</output>
<gadget id="calculator">30 / 10</gadget>
<output>3</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<result>D</result> | D | 0.75 | Timothy drove at an average speed of 10 mph for some time and then at an average speed of 50 mph for the rest of the journey. If he made no stops during the trip and his average speed for the entire journey was 40 mph, for what fraction of the total time did he drive at 50 mph? | {
"A": "1 / 5",
"B": "1 / 3",
"C": "2 / 5",
"D": "3 / 4",
"E": "3 / 5"
} | divide(divide(subtract(40, 10), subtract(50, 40)), const_4) | subtract(n2,n0)|subtract(n1,n2)|divide(#0,#1)|divide(#2,const_4) | we do n ' t need to get into calculations for solving this question . we can use the concept of weighted averages . we know that if the average speed for the entire journey was 40 mph , then he drove at 50 mph for a longer duration of time . 10 30 10 - - 40 - - - - - - 50 this shows that you can divide the entire journey into 4 equal parts . thus , 3 / 4 part he drove at 50 mph and 1 / 4 part he drove at 10 mph . answer : d | general |
math_qa__2B1AiIWcncJguJpp | A certain car uses 12 gallons of gasoline in traveling 420 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased? Choose the correct option.
A) 2
B) 4
C) 6
D) 7
E) 10 | <gadget id="calculator">420 / 10</gadget>
<output>42</output>
<gadget id="calculator">420 / 12</gadget>
<output>35</output>
<gadget id="calculator">42 - 35</gadget>
<output>7</output>
<result>D</result> | D | 7 | A certain car uses 12 gallons of gasoline in traveling 420 miles. In order for the car to travel the same distance using 10 gallons of gasoline, by how many miles per gallon must the car’s gas mileage be increased? | {
"A": "2",
"B": "4",
"C": "6",
"D": "7",
"E": "10"
} | subtract(divide(420, 10), divide(420, 12)) | divide(n1,n2)|divide(n1,n0)|subtract(#0,#1)| | "420 / 10 = 42 the difference is 42 - 35 = 7 . answer d" | physics |
math_qa__1kMe1wu9268jmGYo | In August,a cricket team that played 120 matches won 26% of the games it played.After a continuous winning streak,this team raised its average to 52%.How many matches did the team win to attain this average? Select the correct option
A) 40 B) 52 C) 65 D) 80 E) 98 | <gadget id="calculator">52 / 100</gadget>
<output>13/25 = around 0.52</output>
<gadget id="calculator">(13/25) * 120</gadget>
<output>312/5 = around 62.4</output>
<gadget id="calculator">26 / 100</gadget>
<output>13/50 = around 0.26</output>
<gadget id="calculator">(13/50) * 120</gadget>
<output>156/5 = around 31.2</output>
<gadget id="calculator">(312/5) - (156/5)</gadget>
<output>156/5 = around 31.2</output>
<gadget id="calculator">1 - (13/25)</gadget>
<output>12/25 = around 0.48</output>
<gadget id="calculator">(156/5) / (12/25)</gadget>
<output>65</output>
<result>C</result> | C | 65 | In August,a cricket team that played 120 matches won 26% of the games it played.After a continuous winning streak,this team raised its average to 52%.How many matches did the team win to attain this average? | {
"A": "40",
"B": "52",
"C": "65",
"D": "80",
"E": "98"
} | divide(subtract(multiply(divide(52, const_100), 120), multiply(divide(26, const_100), 120)), subtract(const_1, divide(52, const_100))) | divide(n2,const_100)|divide(n1,const_100)|multiply(n0,#0)|multiply(n0,#1)|subtract(const_1,#0)|subtract(#2,#3)|divide(#5,#4)| | "let the no of matches played more = x so , ( 120 + x ) * 52 / 100 = 31.2 + x by solving we get x = 65 answer : c" | general |
math_qa__cx1rB8GSChHqSOGG | A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together? Choose the correct choice from the following answers.
A) 4
B) 3
C) 5
D) 2
E) 1 | <gadget id="calculator">1 / 28</gadget>
<output>1/28 = around 0.035714</output>
<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">1 / 14</gadget>
<output>1/14 = around 0.071429</output>
<gadget id="calculator">(1/7) + (1/14)</gadget>
<output>3/14 = around 0.214286</output>
<gadget id="calculator">(1/28) + (3/14)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / (1/4)</gadget>
<output>4</output>
<result>A</result> | A | 4 | A, B and C can do a piece of work in 7 days, 14 days and 28 days respectively. How long will they taken, if all the three work together? | {
"A": "4",
"B": "3",
"C": "5",
"D": "2",
"E": "1"
} | inverse(add(inverse(28), add(inverse(7), inverse(14)))) | inverse(n0)|inverse(n1)|inverse(n2)|add(#0,#1)|add(#3,#2)|inverse(#4)| | "1 / 7 + 1 / 14 + 1 / 28 = 7 / 28 = 1 / 4 = > 4 days answer a" | physics |
math_qa__u8QF7YcYDW8UBAAw | A, B and C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 105, then how much amount should C pay as his share of rent?
Choose one:
A) 35 B) 27 C) 25 D) 15 E) 55 | <gadget id="calculator">15 * 3</gadget>
<output>45</output>
<gadget id="calculator">10 * 7</gadget>
<output>70</output>
<gadget id="calculator">12 * 5</gadget>
<output>60</output>
<gadget id="calculator">70 + 60</gadget>
<output>130</output>
<gadget id="calculator">130 + 45</gadget>
<output>175</output>
<gadget id="calculator">45 / 175</gadget>
<output>9/35 = around 0.257143</output>
<gadget id="calculator">105 * (9/35)</gadget>
<output>27</output>
<result>B</result> | B | 27 | A, B and C rent a pasture. If A puts 10 oxen for 7 months, B puts 12 oxen for 5 months and C puts 15 oxen for 3 months for grazing and the rent of the pasture is Rs. 105, then how much amount should C pay as his share of rent? | {
"A": "35",
"B": "27",
"C": "25",
"D": "15",
"E": "55"
} | multiply(105, divide(multiply(15, 3), add(add(multiply(10, 7), multiply(12, 5)), multiply(15, 3)))) | multiply(n4,n5)|multiply(n0,n1)|multiply(n2,n3)|add(#1,#2)|add(#3,#0)|divide(#0,#4)|multiply(n6,#5)| | "a : b : c = 10 × 7 : 12 × 5 : 15 × 3 = 2 × 7 : 12 × 1 : 3 × 3 = 14 : 12 : 9 amount that c should pay = 105 × 9 / 35 = 3 × 9 = 27 answer is b ." | general |
math_qa__mQQC1ATnAwkHpjF7 | Mary passed a certain gas station on a highway while traveling west at a constant speed of 50 miles per hour. Then, 15 minutes later, Paul passed the same gas station while traveling west at a constant speed of 80 miles per hour. If both drivers maintained their speeds and both remained on the highway for at least 2 hours, how long after he passed the gas station did Paul catch up with Mary? Options
A) 35 B) 15 C) 20 D) 25 E) 30 | <gadget id="calculator">15 / 60</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">50 * (1/4)</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">80 - 50</gadget>
<output>30</output>
<gadget id="calculator">(25/2) / 30</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">60 * (5/12)</gadget>
<output>25</output>
<result>D</result> | D | 25 | Mary passed a certain gas station on a highway while traveling west at a constant speed of 50 miles per hour. Then, 15 minutes later, Paul passed the same gas station while traveling west at a constant speed of 80 miles per hour. If both drivers maintained their speeds and both remained on the highway for at least 2 hours, how long after he passed the gas station did Paul catch up with Mary? | {
"A": "35",
"B": "15",
"C": "20",
"D": "25",
"E": "30"
} | multiply(const_60, divide(multiply(50, divide(15, const_60)), subtract(80, 50))) | divide(n1,const_60)|subtract(n2,n0)|multiply(n0,#0)|divide(#2,#1)|multiply(#3,const_60) | d = rt m : r = 50 mph , t = t + 1 / 4 hr d = 50 ( t + 1 / 4 ) p : r = 80 , t = t d = 80 t since they went the same distance : 50 t + 50 / 4 = 80 t 30 t = 50 / 4 = 50 / 120 * 60 = 25 min t = 25 min d | physics |
math_qa__QvG1Q2hkQvr3jNEp | How many multiples of 2 are there between 10 and 100(both are inclusive)? Answers: A) 2 B) 7 C) 6 D) 46 E) 3 | <gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">90 / 2</gadget>
<output>45</output>
<gadget id="calculator">45 + 1</gadget>
<output>46</output>
<result>D</result> | D | 46 | How many multiples of 2 are there between 10 and 100(both are inclusive)? | {
"A": "2",
"B": "7",
"C": "6",
"D": "46",
"E": "3"
} | add(divide(subtract(100, 10), 2), const_1) | subtract(n2,n1)|divide(#0,n0)|add(#1,const_1) | the answer is ( 100 - 10 ) / 2 + 1 = 46 answer is d | other |
math_qa__EbyBTfInQGh8WoWZ | In a 20 litre mixture ratio of milk and water is 3:1.how much milk should added so that mixture ratio Become 4:1? Select the correct option:
A) 3 B) 2 C) 8 D) 6 E) 5 | <gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">20 * (1/4)</gadget>
<output>5</output>
<gadget id="calculator">5 * 4</gadget>
<output>20</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">20 * (3/4)</gadget>
<output>15</output>
<gadget id="calculator">20 - 15</gadget>
<output>5</output>
<result>E</result> | E | 5 | In a 20 litre mixture ratio of milk and water is 3:1.how much milk should added so that mixture ratio Become 4:1? | {
"A": "3",
"B": "2",
"C": "8",
"D": "6",
"E": "5"
} | subtract(multiply(multiply(20, divide(1, add(1, 3))), 4), multiply(20, divide(3, 4))) | add(n1,n2)|divide(n1,n3)|divide(n2,#0)|multiply(n0,#1)|multiply(n0,#2)|multiply(n3,#4)|subtract(#5,#3) | amount of milk = 20 × 3 / 4 = 15 litre and water = 5 litre let x litre milk to be added then 15 + x / 5 = 4 / 1 = 15 + x = 20 , x = 5 answer e | general |
math_qa__cLuvCCExQkZpDXnq | A 14 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be?
Choices: A) 12 B) 20 C) 88 D) 77 E) 4 | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) + 1</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">14 / (7/5)</gadget>
<output>10</output>
<gadget id="calculator">14 - 10</gadget>
<output>4</output>
<result>E</result> | E | 4 | A 14 cm long wire is to be cut into two pieces so that one piece will be 2/5th of the other, how many centimeters will the shorter piece be? | {
"A": "12",
"B": "20",
"C": "88",
"D": "77",
"E": "4"
} | subtract(14, divide(14, add(divide(2, 5), const_1))) | divide(n1,n2)|add(#0,const_1)|divide(n0,#1)|subtract(n0,#2)| | "1 : 2 / 5 = 5 : 2 2 / 7 * 14 = 4 answer : e" | physics |
math_qa__1QgoCK1UcORpGV7K | A certain taxi company charges $2.50 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long? Select.
A) 15.6
B) 18.1
C) 17.5
D) 18.7
E) 19.1 | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">8 / (1/5)</gadget>
<output>40</output>
<gadget id="calculator">40 - 1</gadget>
<output>39</output>
<gadget id="calculator">39 * 0.4</gadget>
<output>15.6</output>
<gadget id="calculator">2.5 + 15.6</gadget>
<output>18.1</output>
<result>B</result> | B | 18.1 | A certain taxi company charges $2.50 for the first 1/5 of a mile plus $0.40 for each additional 1/5 of a mile. What would this company charge for a taxi ride that was 8 miles long? | {
"A": "15.6",
"B": "18.1",
"C": "17.5",
"D": "18.7",
"E": "19.1"
} | add(2.5, multiply(subtract(divide(8, divide(1, 5)), 1), 0.4)) | divide(n1,n2)|divide(n6,#0)|subtract(#1,n1)|multiply(n3,#2)|add(n0,#3) | a certain taxi company charges $ 2.50 for the first 1 / 5 of a mile plus $ 0.40 for each additional 1 / 5 of a mile . what would this company charge for a taxi ride that was 8 miles long ? a . 15.60 b . 16.00 c . 17.50 d . 18.70 e . 19.10 1 / 5 miles = 0.2 miles . the cost of 8 miles long ride would be $ 2.50 for the first 0.2 miles plus ( 8 - 0.2 ) / 0.2 * 0.4 = $ 2.50 + $ 15.6 = $ 18.1 . answer : b . | general |
math_qa__Eduqcy1tvFWhx2YJ | Water is poured into a tank so that the tank is being filled at the rate of 5 cubic feet per hour. If the empty rectangular tank is 10 feet long, 6 feet wide, and 5 feet deep, approximately how many hours does it take to fill the tank? Choose the correct choice from the following.
A) 40 B) 45 C) 50 D) 55 E) 60 | <gadget id="calculator">10 * 6 * 5</gadget>
<output>300</output>
<gadget id="calculator">300 / 5</gadget>
<output>60</output>
<result>E</result> | E | 60 | Water is poured into a tank so that the tank is being filled at the rate of 5 cubic feet per hour. If the empty rectangular tank is 10 feet long, 6 feet wide, and 5 feet deep, approximately how many hours does it take to fill the tank? | {
"A": "40",
"B": "45",
"C": "50",
"D": "55",
"E": "60"
} | divide(volume_rectangular_prism(10, 6, 5), 5) | volume_rectangular_prism(n0,n1,n2)|divide(#0,n0) | the volume the tank is : length * width * depth = 10 * 6 * 5 = 300 cubic feet . 300 cubic feet / 5 cubic feet per hour = 60 hours . it will take 60 hours to fill the tank . the answer is e . | physics |
math_qa__ZWM91Q4V4YmITJGi | A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 6 km/hr, find the time taken by the boat to go 69 km downstream. Choices.
A) 3.6 hr B) 5.25 hr C) 8.25 hr D) 2.25 hr E) 2.50 hr | <gadget id="calculator">13 + 6</gadget>
<output>19</output>
<gadget id="calculator">69 / 19</gadget>
<output>69/19 = around 3.631579</output>
<result>A</result> | A | 3.6 | A boat can travel with a speed of 13 km/hr in still water. If the speed of the stream is 6 km/hr, find the time taken by the boat to go 69 km downstream. | {
"A": "3.6 hr",
"B": "5.25 hr",
"C": "8.25 hr",
"D": "2.25 hr",
"E": "2.50 hr"
} | divide(69, add(13, 6)) | add(n0,n1)|divide(n2,#0)| | "speed of boat in still water = 13 km / hr speed of the stream = 6 km / hr speed downstream = ( 13 + 6 ) = 19 km / hr time taken to travel 69 km downstream = 69 â „ 19 = 17 â „ 4 = 3.6 hours answer is a" | physics |
math_qa__OupHSgOyDox4cC2W | A sum was put at simple interest at a certain rate for 7 years Had it been put at 2% higher rate, it would have fetched 140 more. Find the sum.
Choose the most appropriate option: A) 500 B) 750 C) 1000 D) 1250 E) 1500 | <gadget id="calculator">2 / 100</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">(1/50) * 7</gadget>
<output>7/50 = around 0.14</output>
<gadget id="calculator">140 / (7/50)</gadget>
<output>1_000</output>
<result>C</result> | C | 1,000 | A sum was put at simple interest at a certain rate for 7 years Had it been put at 2% higher rate, it would have fetched 140 more. Find the sum. | {
"A": "500",
"B": "750",
"C": "1000",
"D": "1250",
"E": "1500"
} | divide(140, multiply(divide(2, const_100), 7)) | divide(n1,const_100)|multiply(n0,#0)|divide(n2,#1)| | "difference in s . i . = p × t / 100 ( r 1 − r 2 ) ⇒ 140 = p × 7 x 2 / 100 ( ∵ r 1 - r 2 = 2 ) ⇒ p = 140 × 100 / 7 × 2 = 1000 answer c" | gain |
math_qa__VcECEm5Z8mGES5NW | A positive number x is multiplied by 7, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ? Pick one: A) 7 / 3 B) 3 / 2 C) 4 / 3 D) 2 / 3 E) 1 / 2 | <gadget id="calculator">7 / 3</gadget>
<output>7/3 = around 2.333333</output>
<result>A</result> | A | 2.333333 | A positive number x is multiplied by 7, and this product is then divided by 3. If the positive square root of the result of these two operations equals x, what is the value of x ? | {
"A": "7 / 3",
"B": "3 / 2",
"C": "4 / 3",
"D": "2 / 3",
"E": "1 / 2"
} | divide(7, 3) | divide(n0,n1)| | "sq rt ( 7 x / 3 ) = x = > 7 x / 3 = x ^ 2 = > x = 7 / 3 ans - a" | general |
math_qa__Ay7mvmysDwuhLmmw | The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 18000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is: Choose the correct choice
A) 23 B) 19 C) 42 D) 20 E) 21 | <gadget id="calculator">18_000 - 8_000</gadget>
<output>10_000</output>
<gadget id="calculator">7 * 10_000</gadget>
<output>70_000</output>
<gadget id="calculator">8_000 - 6_000</gadget>
<output>2_000</output>
<gadget id="calculator">70_000 / 2_000</gadget>
<output>35</output>
<gadget id="calculator">7 + 35</gadget>
<output>42</output>
<result>C</result> | C | 42 | The average salary of all the workers in a workshop is Rs. 8000. The average salary of 7 technicians is Rs. 18000 and the average salary of the rest is Rs. 6000. The total number of workers in the workshop is: | {
"A": "23",
"B": "19",
"C": "42",
"D": "20",
"E": "21"
} | add(7, divide(multiply(7, subtract(18000, 8000)), subtract(8000, 6000))) | subtract(n2,n0)|subtract(n0,n3)|multiply(n1,#0)|divide(#2,#1)|add(n1,#3)| | "let the total number of workers be x . then , 8000 x = ( 18000 * 7 ) + 6000 ( x - 7 ) = 2000 x = 84000 = x = 42 . answer : c" | general |
math_qa__T35W3eHLtH6nvnaP | A company charges a fixed rental of Rs. 350 per month. It allows 200 calls free per month. Each call is charge at Rs. 1.4 when the number of calls exceed 200 per month and it charges Rs. 1.6 when the number of calls exceeds 400 per month and so on. A customer made 150 calls in February and 250 calls in march. By how much percent each call is cheaper in March than each call in February. Pick:
A) 28 %
B) 25 %
C) 18.5 %
D) 16 %
E) none of these | <gadget id="calculator">350 / 150</gadget>
<output>7/3 = around 2.333333</output>
<gadget id="calculator">250 - 200</gadget>
<output>50</output>
<gadget id="calculator">50 * 1.4</gadget>
<output>70</output>
<gadget id="calculator">70 + 350</gadget>
<output>420</output>
<gadget id="calculator">420 / 250</gadget>
<output>42/25 = around 1.68</output>
<gadget id="calculator">(7/3) - (42/25)</gadget>
<output>49/75 = around 0.653333</output>
<gadget id="calculator">(49/75) / (7/3)</gadget>
<output>7/25 = around 0.28</output>
<gadget id="calculator">(7/25) * 100</gadget>
<output>28</output>
<result>A</result> | A | 28 | A company charges a fixed rental of Rs. 350 per month. It allows 200 calls free per month. Each call is charge at Rs. 1.4 when the number of calls exceed 200 per month and it charges Rs. 1.6 when the number of calls exceeds 400 per month and so on. A customer made 150 calls in February and 250 calls in march. By how much percent each call is cheaper in March than each call in February. | {
"A": "28 %",
"B": "25 %",
"C": "18.5 %",
"D": "16 %",
"E": "none of these"
} | multiply(divide(subtract(divide(350, 150), divide(add(multiply(subtract(250, 200), 1.4), 350), 250)), divide(350, 150)), const_100) | divide(n0,n6)|subtract(n7,n1)|multiply(n2,#1)|add(n0,#2)|divide(#3,n7)|subtract(#0,#4)|divide(#5,#0)|multiply(#6,const_100) | solution : charge per call in february = 350 / 150 = 7 / 3 = 2.33 charge per call in march = [ 350 + ( 50 * 1.4 ) ] / 250 = 420 / 250 = 42 / 25 = 1.68 % cheaper call rate in march = [ ( 2.33 - 1.68 ) / 2.33 ] * 100 = 28 % . answer : option a | general |
math_qa__Hd0IipIeqFuBMhJM | 3*12+3*13+3*16+11 = ? Choose the correct answer:
A) 122
B) 126
C) 134
D) 148
E) 151 | <gadget id="calculator">3 * 12</gadget>
<output>36</output>
<gadget id="calculator">3 * 13</gadget>
<output>39</output>
<gadget id="calculator">36 + 39</gadget>
<output>75</output>
<gadget id="calculator">3 * 16</gadget>
<output>48</output>
<gadget id="calculator">75 + 48</gadget>
<output>123</output>
<gadget id="calculator">123 + 11</gadget>
<output>134</output>
<result>C</result> | C | 134 | 3*12+3*13+3*16+11 = ? | {
"A": "122",
"B": "126",
"C": "134",
"D": "148",
"E": "151"
} | add(add(add(multiply(3, 12), multiply(3, 13)), multiply(3, 16)), 11) | multiply(n0,n1)|multiply(n0,n3)|multiply(n0,n5)|add(#0,#1)|add(#3,#2)|add(n6,#4) | 3 * 12 + 3 * 13 + 3 * 16 + 11 = 36 + 39 + 48 + 11 = 134 the answer is c . | general |
math_qa__GgMQ0IgO5ZyqoFi4 | What is the greatest of 3 consecutive integers whose sum is 18 ? Select the correct option:
A) 6 B) 7 C) 8 D) 9 E) 5 | <gadget id="calculator">18 - 3</gadget>
<output>15</output>
<gadget id="calculator">15 / 3</gadget>
<output>5</output>
<gadget id="calculator">5 + 2</gadget>
<output>7</output>
<result>B</result> | B | 7 | What is the greatest of 3 consecutive integers whose sum is 18 ? | {
"A": "6",
"B": "7",
"C": "8",
"D": "9",
"E": "5"
} | add(divide(subtract(18, 3), 3), const_2) | subtract(n1,n0)|divide(#0,n0)|add(#1,const_2)| | "the sum of three consecutive integers can be written as n + ( n + 1 ) + ( n + 2 ) = 3 n + 3 if the sum is 24 , we need to solve the equation 3 n + 3 = 18 ; = > 3 n = 15 ; = > n = 5 the greatest of the three numbers is therefore 5 + 2 = 7 answer : b" | physics |
math_qa__pNdcWJn10ZnWeZlR | A man can row his boat with the stream at 16 km/h and against the stream in 4 km/h. The man's rate is? Choose the correct choice from the following choices:
A) 1 kmph
B) 3 kmph
C) 6 kmph
D) 7 kmph
E) 5 kmph | <gadget id="calculator">16 - 4</gadget>
<output>12</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<result>C</result> | C | 6 | A man can row his boat with the stream at 16 km/h and against the stream in 4 km/h. The man's rate is? | {
"A": "1 kmph",
"B": "3 kmph",
"C": "6 kmph",
"D": "7 kmph",
"E": "5 kmph"
} | divide(subtract(16, 4), const_2) | subtract(n0,n1)|divide(#0,const_2)| | "ds = 16 us = 4 s = ? s = ( 16 - 4 ) / 2 = 6 kmph answer : c" | gain |
math_qa__Jv13EuSoW4WwrvqH | A certain quantity of 45% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced? Choose the correct choice from the following answers.
A) 1 / 4 B) 1 / 3 C) 1 / 2 D) 2 / 3 E) 3 / 4 | <gadget id="calculator">35 - 25</gadget>
<output>10</output>
<gadget id="calculator">45 - 35</gadget>
<output>10</output>
<gadget id="calculator">10 / 10</gadget>
<output>1</output>
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<result>C</result> | C | 0.5 | A certain quantity of 45% solution is replaced with 25% solution such that the new concentration is 35%. What is the fraction of the solution that was replaced? | {
"A": "1 / 4",
"B": "1 / 3",
"C": "1 / 2",
"D": "2 / 3",
"E": "3 / 4"
} | inverse(add(divide(subtract(35, 25), subtract(45, 35)), const_1)) | subtract(n2,n1)|subtract(n0,n2)|divide(#0,#1)|add(#2,const_1)|inverse(#3)| | "let ' s say that the total original mixture a is 100 ml the original mixture a thus has 45 ml of alcohol out of 100 ml of solution you want to replace some of that original mixture a with another mixture b that contains 25 ml of alcohol per 100 ml . thus , the difference between 45 ml and 25 ml is 20 ml per 100 ml of mixture . this means that every time you replace 100 ml of the original mixture a by 100 ml of mixture b , the original alcohol concentration will decrease by 20 % . the question says that the new mixture , let ' s call it c , must be 35 % alcohol , a decrease of only 10 % . therefore , 10 out of 20 is 1 / 2 and c is the answer ." | other |
math_qa__vIOrcpZe1QflMVQf | There are 16 bees in the hive , then 8 more fly. How many bees are there in all? Choose the most appropriate option
A) 7 B) 33 C) 12 D) 24 E) 25 | <gadget id="calculator">16 + 8</gadget>
<output>24</output>
<result>D</result> | D | 24 | There are 16 bees in the hive , then 8 more fly. How many bees are there in all? | {
"A": "7",
"B": "33",
"C": "12",
"D": "24",
"E": "25"
} | add(16, 8) | add(n0,n1)| | 16 + 8 = 24 . answer is d . | general |
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