id stringlengths 25 25 | question stringlengths 45 1.01k | chain stringlengths 75 4.11k | result stringclasses 5 values | result_float float64 -4,212 100B | question_without_options stringlengths 6 962 | options dict | annotated_formula stringlengths 7 6.48k | linear_formula stringlengths 8 925 | rationale stringlengths 1 2.74k | category stringclasses 6 values |
|---|---|---|---|---|---|---|---|---|---|---|
math_qa__5lxz9nqfrCMwEKcJ | In the first 12 overs of a cricket game, the run rate was only 4.5. What should be the run rate in the remaining 38 overs to reach the target of 360 runs? Choose the correct answer:
A) 9.55 B) 6.25 C) 6.75 D) 8.05 E) 7.25 | <gadget id="calculator">12 * 4.5</gadget>
<output>54</output>
<gadget id="calculator">360 - 54</gadget>
<output>306</output>
<gadget id="calculator">306 / 38</gadget>
<output>153/19 = around 8.052632</output>
<result>D</result> | D | 8.05 | In the first 12 overs of a cricket game, the run rate was only 4.5. What should be the run rate in the remaining 38 overs to reach the target of 360 runs? | {
"A": "9.55",
"B": "6.25",
"C": "6.75",
"D": "8.05",
"E": "7.25"
} | divide(subtract(360, multiply(12, 4.5)), 38) | multiply(n0,n1)|subtract(n3,#0)|divide(#1,n2)| | required run rate = 360 - ( 4.5 x 12 ) / 38 = 306 / 38 = 8.05 option d | gain |
math_qa__xuasOuqfYqAypGC8 | A car during its journey travels 1 hour at a speed of 40 kmph, another 30 minutes at a speed of 60 kmph, and 2 hours at a speed of 60 kmph.The average speed of the car is
Choose the correct choice.
A) 63.07 kmph
B) 54.28 kmph
C) 62.02 kmph
D) 64.02 kmph
E) none of these | <gadget id="calculator">40 + 30</gadget>
<output>70</output>
<gadget id="calculator">60 + 60</gadget>
<output>120</output>
<gadget id="calculator">70 + 120</gadget>
<output>190</output>
<gadget id="calculator">30 / 60</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) + 2</gadget>
<output>7/2 = around 3.5</output>
<gadget id="calculator">190 / (7/2)</gadget>
<output>380/7 = around 54.285714</output>
<result>B</result> | B | 54.28 | A car during its journey travels 1 hour at a speed of 40 kmph, another 30 minutes at a speed of 60 kmph, and 2 hours at a speed of 60 kmph.The average speed of the car is | {
"A": "63.07 kmph",
"B": "54.28 kmph",
"C": "62.02 kmph",
"D": "64.02 kmph",
"E": "none of these"
} | divide(add(add(40, 30), add(60, 60)), add(add(1, divide(30, const_60)), 2)) | add(n1,n2)|add(n3,n3)|divide(n2,const_60)|add(#0,#1)|add(n0,#2)|add(n4,#4)|divide(#3,#5) | first car travels 1 hrs at speed of 40 kmph distance = 40 x 1 = 40 m then car travels 30 min at a speed of 60 kmph distance = 30 min at speed of 60 kmph distance = 60 x 1 / 2 = 30 m at last it travels 2 hours at speed of 60 kmph distance = 60 x 2 = 120 m total distance = 40 + 30 + 120 = 190 total time = 1 + 1 / 2 + 2 = 3.50 average speed of the car = 190 / 3.25 = 54.28 answer : b | physics |
math_qa__sJVbBNAbdJpOWuSD | Excluding stoppages, the speed of a bus is 80 kmph and including stoppages, it is 60 kmph. For how many minutes does the bus stop per hour? Choose the correct option.
A) 12 min
B) 20 min
C) 25 min
D) 30 min
E) 15 min | <gadget id="calculator">80 - 60</gadget>
<output>20</output>
<gadget id="calculator">20 / 80</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">60 * (1/4)</gadget>
<output>15</output>
<result>E</result> | E | 15 | Excluding stoppages, the speed of a bus is 80 kmph and including stoppages, it is 60 kmph. For how many minutes does the bus stop per hour? | {
"A": "12 min",
"B": "20 min",
"C": "25 min",
"D": "30 min",
"E": "15 min"
} | multiply(const_60, divide(subtract(80, 60), 80)) | subtract(n0,n1)|divide(#0,n0)|multiply(#1,const_60)| | "due to stoppages , it covers 20 km less . time taken to cover 20 km = ( 20 / 80 x 60 ) min = 15 min answer : e" | physics |
math_qa__Ufl217FlGCGRRgL6 | The average age of A, B and C is 27 years. If the average age of A and C is 29 years, what is the age of B in years ?
Choose the correct choice: A) 19 B) 35 C) 20 D) 32 E) 23 | <gadget id="calculator">27 * 3</gadget>
<output>81</output>
<gadget id="calculator">29 * 2</gadget>
<output>58</output>
<gadget id="calculator">81 - 58</gadget>
<output>23</output>
<result>E</result> | E | 23 | The average age of A, B and C is 27 years. If the average age of A and C is 29 years, what is the age of B in years ? | {
"A": "19",
"B": "35",
"C": "20",
"D": "32",
"E": "23"
} | subtract(multiply(27, const_3), multiply(29, const_2)) | multiply(n0,const_3)|multiply(n1,const_2)|subtract(#0,#1) | age of b = age of ( a + b + c ) â € “ age of ( a + c ) = 27 ã — 3 â € “ 29 ã — 2 = 81 â € “ 58 = 23 years e | general |
math_qa__WnNgG6qZLNCCJtLP | A man buys a cycle for Rs.1400 and sells it at loss of 15%. What is the selling price of the cycle? Choose the correct choice from the following:
A) 1192 B) 1191 C) 1118 D) 1190 E) 1112 | <gadget id="calculator">100 - 15</gadget>
<output>85</output>
<gadget id="calculator">85 * 1_400</gadget>
<output>119_000</output>
<gadget id="calculator">119_000 / 100</gadget>
<output>1_190</output>
<result>D</result> | D | 1,190 | A man buys a cycle for Rs.1400 and sells it at loss of 15%. What is the selling price of the cycle? | {
"A": "1192",
"B": "1191",
"C": "1118",
"D": "1190",
"E": "1112"
} | divide(multiply(subtract(const_100, 15), 1400), const_100) | subtract(const_100,n1)|multiply(n0,#0)|divide(#1,const_100)| | "explanation : s . p = 85 % of rs . 1400 ⇒ rs . ( 8510085100 × 1400 ) = rs . 1190 . answer : d" | gain |
math_qa__77wTkwHhrhugQv9p | A strain of bacteria reproduces @ 25% every 12 min. In how much time will it triple itself ??
Choose the correct choice from the following answers: A) 96 min B) 72 min C) 60 min D) 48 min E) 40 min | <gadget id="calculator">log(3)</gadget>
<output>log(3) = around 1.098612</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">log(5/4)</gadget>
<output>log(5/4) = around 0.223144</output>
<gadget id="calculator">log(3) / log(5/4)</gadget>
<output>log(3)/log(5/4) = around 4.923343</output>
<gadget id="calculator">(log(3)/log(5/4)) * 12</gadget>
<output>12*log(3)/log(5/4) = around 59.080119</output>
<result>C</result> | C | 60 | A strain of bacteria reproduces @ 25% every 12 min. In how much time will it triple itself ?? | {
"A": "96 min",
"B": "72 min",
"C": "60 min",
"D": "48 min",
"E": "40 min"
} | multiply(divide(log(const_3), log(add(const_1, divide(25, const_100)))), 12) | divide(n0,const_100)|log(const_3)|add(#0,const_1)|log(#2)|divide(#1,#3)|multiply(n1,#4) | the original question is : a strain of bacteria reproduces at the rate of 25 % every 12 min . in how much time will it triple itself ? 1.25 ^ x = 3 - - > x = ~ 5 - - > five 12 minute periods = 60 minutes . answer : c . | general |
math_qa__DfaNCX149pvSvVXN | A survey was sent to 60 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey? Choose the correct choice from the following options:
A) 2 %
B) 5 %
C) 14 %
D) 28 %
E) 4 % | <gadget id="calculator">9 / 63</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">7 / 60</gadget>
<output>7/60 = around 0.116667</output>
<gadget id="calculator">(1/7) - (7/60)</gadget>
<output>11/420 = around 0.02619</output>
<gadget id="calculator">(11/420) * 100</gadget>
<output>55/21 = around 2.619048</output>
<gadget id="calculator">floor(55/21)</gadget>
<output>2</output>
<result>A</result> | A | 2 | A survey was sent to 60 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey? | {
"A": "2 %",
"B": "5 %",
"C": "14 %",
"D": "28 %",
"E": "4 %"
} | floor(multiply(subtract(divide(9, 63), divide(7, 60)), const_100)) | divide(n3,n2)|divide(n1,n0)|subtract(#0,#1)|multiply(#2,const_100)|floor(#3)| | "case 1 : ( 7 / 60 ) = x / 100 x = 12 % case 2 : ( 9 / 63 ) = y / 100 y = 14 % so percent increase is = ( y - x ) = ( 14 - 12 ) % = 2 % answer is a" | gain |
math_qa__BngJQiG6631Gq2Kr | 12 persons can complete the work in 18 days. After working for 6 days, 4 more persons added to complete the work fast.In how many days they will complete the work? Pick:
A) 10 B) 15 C) 17 D) 5 E) 9 | <gadget id="calculator">18 - 6</gadget>
<output>12</output>
<gadget id="calculator">12 * 12</gadget>
<output>144</output>
<gadget id="calculator">12 + 4</gadget>
<output>16</output>
<gadget id="calculator">144 / 16</gadget>
<output>9</output>
<result>E</result> | E | 9 | 12 persons can complete the work in 18 days. After working for 6 days, 4 more persons added to complete the work fast.In how many days they will complete the work? | {
"A": "10",
"B": "15",
"C": "17",
"D": "5",
"E": "9"
} | divide(multiply(subtract(18, 6), 12), add(12, 4)) | add(n0,n3)|subtract(n1,n2)|multiply(n0,#1)|divide(#2,#0)| | "total work = 12 * 18 = 216 units . after 6 days , work finished = 6 * 12 = 72 units . remaining units = 216 - 72 = 144 units . remaining days = 144 / ( 2 + 4 ) = 9 days the option is e" | physics |
math_qa__GgzC0CvdRdK3847R | Mahesh can do a piece of work in 35days. He works at it for 20days and then Rajesh finished it in 30days. How long will Y take to complete the work? Pick
A) 45 B) 25 C) 37 D) 41 E) 70 | <gadget id="calculator">1 / 35</gadget>
<output>1/35 = around 0.028571</output>
<gadget id="calculator">20 * (1/35)</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">1 - (4/7)</gadget>
<output>3/7 = around 0.428571</output>
<gadget id="calculator">(3/7) / 30</gadget>
<output>1/70 = around 0.014286</output>
<gadget id="calculator">1 / (1/70)</gadget>
<output>70</output>
<result>E</result> | E | 70 | Mahesh can do a piece of work in 35days. He works at it for 20days and then Rajesh finished it in 30days. How long will Y take to complete the work? | {
"A": "45",
"B": "25",
"C": "37",
"D": "41",
"E": "70"
} | divide(const_1, divide(subtract(const_1, multiply(20, divide(const_1, 35))), 30)) | divide(const_1,n0)|multiply(n1,#0)|subtract(const_1,#1)|divide(#2,n2)|divide(const_1,#3)| | "work done by mahesh in 35 days = 20 * 1 / 35 = 4 / 7 remaining work = 1 - 4 / 7 = 3 / 7 3 / 7 work is done by rajesh in 30 days whole work will be done by rajesh is 30 * 7 / 3 = 70 days answer is e" | physics |
math_qa__RyeN8NJMkTwdKD5O | For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] - 6.0? Pick
A) 12.6 .
B) 14.4 .
C) 15.8 .
D) 16.2 .
E) 16.4 . | <gadget id="calculator">2 * 7.2</gadget>
<output>14.4</output>
<gadget id="calculator">4 / 10</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">8.4 - (2/5)</gadget>
<output>8</output>
<gadget id="calculator">14.4 + 8</gadget>
<output>22.4</output>
<gadget id="calculator">22.4 - 6</gadget>
<output>16.4</output>
<result>E</result> | E | 16.4 | For every X, the action [X] is defined: [X] is the greatest integer less than or equal to X. What is the value of [6.5] x [2/3] + [2] x 7.2 + [8.4] - 6.0? | {
"A": "12.6 .",
"B": "14.4 .",
"C": "15.8 .",
"D": "16.2 .",
"E": "16.4 ."
} | subtract(add(multiply(2, 7.2), subtract(8.4, divide(const_4, const_10))), 6.0) | divide(const_4,const_10)|multiply(n1,n4)|subtract(n5,#0)|add(#1,#2)|subtract(#3,n6)| | "[ 6.5 ] x [ 2 / 3 ] + [ 2 ] x 7.2 + [ 8.4 ] - 6.0 = 6 * 0 + 2 * 7.2 + 8 - 6.0 = 0 + 14.4 + 2 16.4 answer e" | general |
math_qa__Ki1v2edboRqtnJXj | A parking garage rents parking spaces for $10 per week or $42 per month. How much does a person save in a year by renting by the month rather than by the week? Choices:
A) $ 14
B) $ 16
C) $ 22
D) $ 24
E) $ 26 | <gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">10 * 5</gadget>
<output>50</output>
<gadget id="calculator">50 + 2</gadget>
<output>52</output>
<gadget id="calculator">52 * 10</gadget>
<output>520</output>
<gadget id="calculator">42 * 12</gadget>
<output>504</output>
<gadget id="calculator">520 - 504</gadget>
<output>16</output>
<result>B</result> | B | 16 | A parking garage rents parking spaces for $10 per week or $42 per month. How much does a person save in a year by renting by the month rather than by the week? | {
"A": "$ 14",
"B": "$ 16",
"C": "$ 22",
"D": "$ 24",
"E": "$ 26"
} | subtract(multiply(add(multiply(10, add(const_3, const_2)), const_2), 10), multiply(42, const_12)) | add(const_2,const_3)|multiply(n1,const_12)|multiply(#0,n0)|add(#2,const_2)|multiply(n0,#3)|subtract(#4,#1)| | "10 $ per week ! an year has 52 weeks . annual charges per year = 52 * 10 = 520 $ 30 $ per month ! an year has 12 months . annual charges per year = 12 * 42 = 504 $ 520 - 504 = 16 ans b" | general |
math_qa__67iOb4s08uhzk0GG | What is the least number which when divided by 8, 12, 15 and 20 leaves in each case a remainder of 5 Choose the correct option: A) 110 B) 125 C) 75 D) 170 E) 195 | <gadget id="calculator">lcm(8, 12)</gadget>
<output>24</output>
<gadget id="calculator">lcm(15, 20)</gadget>
<output>60</output>
<gadget id="calculator">lcm(24, 60)</gadget>
<output>120</output>
<gadget id="calculator">120 + 5</gadget>
<output>125</output>
<result>B</result> | B | 125 | What is the least number which when divided by 8, 12, 15 and 20 leaves in each case a remainder of 5 | {
"A": "110",
"B": "125",
"C": "75",
"D": "170",
"E": "195"
} | add(lcm(lcm(8, 12), lcm(15, 20)), 5) | lcm(n0,n1)|lcm(n2,n3)|lcm(#0,#1)|add(n4,#2)| | "lcm of 8 , 12 , 15 and 20 = 120 required number = 120 + 5 = 125 answer : option b" | general |
math_qa__r99luMJ1aeDQ26nA | If xy=4, x/y=81, for positive numbers x and y, y=?
Choose the correct choice from the following choices: A) 1 / 2 B) 2 C) 2 / 9 D) 3 E) 1 / 6 | <gadget id="calculator">4 / 81</gadget>
<output>4/81 = around 0.049383</output>
<gadget id="calculator">(4/81) ** (1/2)</gadget>
<output>2/9 = around 0.222222</output>
<result>C</result> | C | 0.222222 | If xy=4, x/y=81, for positive numbers x and y, y=? | {
"A": "1 / 2",
"B": "2",
"C": "2 / 9",
"D": "3",
"E": "1 / 6"
} | sqrt(divide(4, 81)) | divide(n0,n1)|sqrt(#0)| | "very easy question . 2 variables and 2 easy equations . xy = 4 - - - > x = 4 / y - ( i ) x / y = 81 - - - > replacing ( i ) here - - - > 4 / ( y ^ 2 ) = 81 - - - > y ^ 2 = 4 / 81 - - - > y = 2 / 9 or - 2 / 9 the question states that x and y are positive integers . therefore , y = 2 / 9 is the answer . answer c ." | general |
math_qa__OfPTwopFejrL22sx | A fellow borrowed a certain sum of money at 6% per annum at simple interest and in 6 years the interest amounted to Rs.672 less than the sum lent. What was the sum lent?
Answers.
A) 1050 B) 1220 C) 1250 D) 1060 E) 1110 | <gadget id="calculator">6 * 6</gadget>
<output>36</output>
<gadget id="calculator">36 / 100</gadget>
<output>9/25 = around 0.36</output>
<gadget id="calculator">1 - (9/25)</gadget>
<output>16/25 = around 0.64</output>
<gadget id="calculator">672 / (16/25)</gadget>
<output>1_050</output>
<result>A</result> | A | 1,050 | A fellow borrowed a certain sum of money at 6% per annum at simple interest and in 6 years the interest amounted to Rs.672 less than the sum lent. What was the sum lent? | {
"A": "1050",
"B": "1220",
"C": "1250",
"D": "1060",
"E": "1110"
} | divide(672, subtract(const_1, divide(multiply(6, 6), const_100))) | multiply(n0,n0)|divide(#0,const_100)|subtract(const_1,#1)|divide(n2,#2)| | "p - 672 = ( p * 6 * 6 ) / 100 p = 1050 answer : a" | gain |
math_qa__ihcHeM6HxuHV0BZr | the 7 th grade french and spanish classes each have 21 students in them , and there are 6 students in the 7 th grade taking both languages . if everyone in the 7 th grade is in at least one of the two language classes , how many students are taking just one of the two classes ?
Choose one
A) 24 B) 28 C) 30 D) 32 E) 34 | <gadget id="calculator">21 - 6</gadget>
<output>15</output>
<gadget id="calculator">15 + 15</gadget>
<output>30</output>
<result>C</result> | C | 30 | the 7 th grade french and spanish classes each have 21 students in them , and there are 6 students in the 7 th grade taking both languages . if everyone in the 7 th grade is in at least one of the two language classes , how many students are taking just one of the two classes ? | {
"A": "24",
"B": "28",
"C": "30",
"D": "32",
"E": "34"
} | add(subtract(21, 6), subtract(21, 6)) | subtract(n1,n2)|add(#0,#0) | french class + spanish class = 42 students . six students are in both classes so they were counted twice . the number of students taking just one class is 42 - 2 ( 6 ) = 30 . the answer is c . | other |
math_qa__9QNfZZskSQVHUD3G | A, B, C hired a car for Rs. 520 and used it for 7,8 and 11 hours respectively. Hire charges paid by B were :
Choose the most appropriate option: A) 160 B) 180 C) 220 D) 225 E) none | <gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">7 + 8</gadget>
<output>15</output>
<gadget id="calculator">15 + 11</gadget>
<output>26</output>
<gadget id="calculator">8 / 26</gadget>
<output>4/13 = around 0.307692</output>
<gadget id="calculator">520 * (4/13)</gadget>
<output>160</output>
<result>A</result> | A | 160 | A, B, C hired a car for Rs. 520 and used it for 7,8 and 11 hours respectively. Hire charges paid by B were : | {
"A": "160",
"B": "180",
"C": "220",
"D": "225",
"E": "none"
} | multiply(520, divide(multiply(const_4, const_2), add(add(add(const_4, const_3), multiply(const_4, const_2)), 11))) | add(const_3,const_4)|multiply(const_2,const_4)|add(#0,#1)|add(n2,#2)|divide(#1,#3)|multiply(n0,#4) | sol . a : b : c = 7 : 8 : 11 . hire charges paid by b = rs . [ 520 * 8 / 26 ] = rs . 160 answer a | physics |
math_qa__O61E2e7BOZLjryxU | maximun number of identical pieces(of same size) of a cake by making only 3 cuts? Choose one.
A) 6
B) 7
C) 8
D) 9
E) 5 | <gadget id="calculator">3 ** 3</gadget>
<output>27</output>
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">5 * 3</gadget>
<output>15</output>
<gadget id="calculator">27 + 15</gadget>
<output>42</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">42 + 6</gadget>
<output>48</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">48 * (1/6)</gadget>
<output>8</output>
<result>C</result> | C | 8 | maximun number of identical pieces(of same size) of a cake by making only 3 cuts? | {
"A": "6",
"B": "7",
"C": "8",
"D": "9",
"E": "5"
} | multiply(add(add(power(3, const_3), multiply(add(const_1, const_4), 3)), multiply(3, const_2)), inverse(multiply(3, const_2))) | add(const_1,const_4)|multiply(n0,const_2)|power(n0,const_3)|inverse(#1)|multiply(n0,#0)|add(#4,#2)|add(#5,#1)|multiply(#6,#3) | since cake is a 3 d object , it will have length , breadth , height . . . first cut across length now we will get 2 pieces then cut across breadth we will get 4 parts in total now . . . now cut across height , finally we will get 8 parts . . . answer : c | general |
math_qa__SovavvE7vvwbcR5h | A car travels at a speed of 12 miles per hour. How far will it travel in 5 hours? Select the correct option.
A) 50 miles B) 60 miles C) 72 miles D) 22 miles E) 62 miles | <gadget id="calculator">12 * 5</gadget>
<output>60</output>
<result>B</result> | B | 60 | A car travels at a speed of 12 miles per hour. How far will it travel in 5 hours? | {
"A": "50 miles",
"B": "60 miles",
"C": "72 miles",
"D": "22 miles",
"E": "62 miles"
} | multiply(12, 5) | multiply(n0,n1)| | "during each hour , the car travels 65 miles . for 5 hours it will travel 12 + 12 + 12 + 12 + 12 = 5 * 12 = 60 miles correct answer b" | physics |
math_qa__8P47QbEArjw7OWrU | A hostel had provisions for 250 men for 36 days. If 50 men left the hostel, how long will the food last at the same rate? Pick one
A) 30 B) 45 C) 50 D) 60 E) 65 | <gadget id="calculator">250 * 36</gadget>
<output>9_000</output>
<gadget id="calculator">250 - 50</gadget>
<output>200</output>
<gadget id="calculator">9_000 / 200</gadget>
<output>45</output>
<result>B</result> | B | 45 | A hostel had provisions for 250 men for 36 days. If 50 men left the hostel, how long will the food last at the same rate? | {
"A": "30",
"B": "45",
"C": "50",
"D": "60",
"E": "65"
} | divide(multiply(250, 36), subtract(250, 50)) | multiply(n0,n1)|subtract(n0,n2)|divide(#0,#1)| | "a hostel had provisions for 250 men for 36 days if 50 men leaves the hostel , remaining men = 250 - 50 = 200 we need to find out how long the food will last for these 200 men . let the required number of days = x days more men , less days ( indirect proportion ) ( men ) 250 : 200 : : x : 36 250 × 36 = 200 x 5 × 36 = 4 x x = 5 × 9 = 45 answer b" | gain |
math_qa__DmHpFPOnRPBS52uU | The average of runs of a cricket player of 10 innings was 15. How many runs must he make in his next innings so as to increase his average of runs by 4? Choose the correct option:
A) 87 B) 16 C) 10 D) 76 E) 59 | <gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">4 + 15</gadget>
<output>19</output>
<gadget id="calculator">11 * 19</gadget>
<output>209</output>
<gadget id="calculator">10 * 15</gadget>
<output>150</output>
<gadget id="calculator">209 - 150</gadget>
<output>59</output>
<result>E</result> | E | 59 | The average of runs of a cricket player of 10 innings was 15. How many runs must he make in his next innings so as to increase his average of runs by 4? | {
"A": "87",
"B": "16",
"C": "10",
"D": "76",
"E": "59"
} | subtract(multiply(add(10, const_1), add(4, 15)), multiply(10, 15)) | add(n0,const_1)|add(n1,n2)|multiply(n0,n1)|multiply(#0,#1)|subtract(#3,#2) | average after 11 innings = 19 required number of runs = ( 19 * 11 ) - ( 15 * 10 ) = 209 - 150 = 59 . answer : e | general |
math_qa__Kj0MY4EnUc6eINYZ | 16 men can complete a piece of work in 25 days. In how many days can 15 men complete that piece of work? Choose one:
A) 26.7 days
B) 77 days
C) 20 days
D) 88 days
E) 44 days | <gadget id="calculator">25 * 16</gadget>
<output>400</output>
<gadget id="calculator">400 / 15</gadget>
<output>80/3 = around 26.666667</output>
<result>A</result> | A | 26.7 | 16 men can complete a piece of work in 25 days. In how many days can 15 men complete that piece of work? | {
"A": "26.7 days",
"B": "77 days",
"C": "20 days",
"D": "88 days",
"E": "44 days"
} | divide(multiply(25, 16), 15) | multiply(n0,n1)|divide(#0,n2)| | "16 * 25 = 15 * x = > x = 26.7 days answer : a" | physics |
math_qa__VVCg1Fg02DU1W03Q | A bus trip of 280 miles would have taken 1 hour less if the average speed V for the trip had been greater by 5 miles per hour. What was the average speed V, in miles per hour, for the trip? Choose the correct choice from the following:
A) 35
B) 40
C) 45
D) 50
E) 55 | <gadget id="calculator">280 * 5</gadget>
<output>1_400</output>
<gadget id="calculator">1_400 * 4</gadget>
<output>5_600</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">5_600 + 25</gadget>
<output>5_625</output>
<gadget id="calculator">5_625 ** (1/2)</gadget>
<output>75</output>
<gadget id="calculator">75 - 5</gadget>
<output>70</output>
<gadget id="calculator">70 / 2</gadget>
<output>35</output>
<result>A</result> | A | 35 | A bus trip of 280 miles would have taken 1 hour less if the average speed V for the trip had been greater by 5 miles per hour. What was the average speed V, in miles per hour, for the trip? | {
"A": "35",
"B": "40",
"C": "45",
"D": "50",
"E": "55"
} | divide(subtract(sqrt(add(multiply(multiply(280, 5), const_4), power(5, const_2))), 5), const_2) | multiply(n0,n2)|power(n2,const_2)|multiply(#0,const_4)|add(#2,#1)|sqrt(#3)|subtract(#4,n2)|divide(#5,const_2)| | "the time is the distance / speed . the time difference is 1 hour . 280 / v - 280 / ( v + 5 ) = 1 280 ( v + 5 ) - 280 v = ( v ) ( v + 5 ) 1400 = ( v ) ( v + 5 ) 35 * 40 = ( v ) ( v + 5 ) v = 35 mph the answer is a ." | physics |
math_qa__qTxhlvlPnhUMJFi2 | The total age of A and B is 15 years more than the total age of B and C. C is how many years younger than A ? Answers
A) 12 B) 15 C) c is elder than a D) data inadequate E) none | <gadget id="calculator">15 * 1</gadget>
<output>15</output>
<result>B</result> | B | 15 | The total age of A and B is 15 years more than the total age of B and C. C is how many years younger than A ? | {
"A": "12",
"B": "15",
"C": "c is elder than a",
"D": "data inadequate",
"E": "none"
} | multiply(15, const_1) | multiply(n0,const_1)| | "solution [ ( a + b ) - ( b + c ) ] = 15 â € ¹ = â € º a - c = 15 . answer b" | general |
math_qa__DpmbsHqGVfmdh15C | If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm, find the area of the rectangle. Select the correct option
A) 127 cm ^ 2 B) 125 cm ^ 2 C) 120 cm ^ 2 D) 102 cm ^ 2 E) none of them | <gadget id="calculator">46 / 2</gadget>
<output>23</output>
<gadget id="calculator">23 ** 2</gadget>
<output>529</output>
<gadget id="calculator">17 ** 2</gadget>
<output>289</output>
<gadget id="calculator">529 - 289</gadget>
<output>240</output>
<gadget id="calculator">240 / 2</gadget>
<output>120</output>
<result>C</result> | C | 120 | If the diagonal of a rectangle is 17 cm long and its perimeter is 46 cm, find the area of the rectangle. | {
"A": "127 cm ^ 2",
"B": "125 cm ^ 2",
"C": "120 cm ^ 2",
"D": "102 cm ^ 2",
"E": "none of them"
} | divide(subtract(power(divide(46, const_2), const_2), power(17, const_2)), const_2) | divide(n1,const_2)|power(n0,const_2)|power(#0,const_2)|subtract(#2,#1)|divide(#3,const_2) | let length = x and breadth = y . then , 2 ( x + y ) = 46 or x + y = 23 and x ^ 2 + y ^ 2 = ( 17 ) ^ 2 = 289 . now , ( x + y ) ^ 2 = ( 23 ) ^ 2 < = > ( x ^ 2 + y ^ 2 ) + 2 xy = 529 < = > 289 + 2 xy = 529 = xy = 120 area = xy = 120 cm ^ 2 answer is c . | geometry |
math_qa__XlplDmsVTOtVzSp7 | The toll for crossing a certain bridge is $0.75 each crossing. Drivers who frequently use the bridge may instead purchase a sticker each month for $11.00 and then pay only $0.30 each crossing during that month. If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker?
Choose the correct choice:
A) 14 B) 15 C) 16 D) 28 E) 29 | <gadget id="calculator">0.75 - 0.3</gadget>
<output>0.45</output>
<gadget id="calculator">0.45 * 2</gadget>
<output>0.9</output>
<gadget id="calculator">11 / 0.9</gadget>
<output>12.222222</output>
<gadget id="calculator">12.222222 * 2</gadget>
<output>24.444444</output>
<gadget id="calculator">24.444444 / 10</gadget>
<output>2.444444</output>
<gadget id="calculator">2.444444 * 2</gadget>
<output>4.888888</output>
<gadget id="calculator">4.888888 + 24.444444</gadget>
<output>29.333332</output>
<result>E</result> | E | 29 | The toll for crossing a certain bridge is $0.75 each crossing. Drivers who frequently use the bridge may instead purchase a sticker each month for $11.00 and then pay only $0.30 each crossing during that month. If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker? | {
"A": "14",
"B": "15",
"C": "16",
"D": "28",
"E": "29"
} | add(multiply(divide(multiply(divide(11, multiply(subtract(0.75, 0.3), const_2)), const_2), const_10), const_2), multiply(divide(11, multiply(subtract(0.75, 0.3), const_2)), const_2)) | subtract(n0,n2)|multiply(#0,const_2)|divide(n1,#1)|multiply(#2,const_2)|divide(#3,const_10)|multiply(#4,const_2)|add(#5,#3) | option # 1 : $ 0.75 / crossing . . . . cross twice a day = $ 1.5 / day option # 2 : $ 0.30 / crossing . . . . cross twice a day = $ 0.6 / day + $ 13 one time charge . if we go down the list of possible answers , you can quickly see that 14 days will not be worth purchasing the sticker . 1.5 x 14 ( 21 ) is cheaper than 0.6 x 14 + 13 ( 21.4 ) . . . it ' s pretty close so let ' s see if one more day will make it worth it . . . if we raise the number of days to 15 , the sticker option looks like a better deal . . . 1.5 x 15 ( 22.5 ) vs 0.6 x 15 + 13 ( 22 ) . answer : e | general |
math_qa__S6mYLUJvF1Cwl8w1 | Mother,her daughter and her grand child weighs 160 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter? Choose the correct choice from the following options.
A) 46 B) 47 C) 48 D) 49 E) 40 | <gadget id="calculator">160 - 60</gadget>
<output>100</output>
<gadget id="calculator">100 / 5</gadget>
<output>20</output>
<gadget id="calculator">60 - 20</gadget>
<output>40</output>
<result>E</result> | E | 40 | Mother,her daughter and her grand child weighs 160 kg. daughter and her daughter(child) weighs 60 kg. child is 1/5th of her grand mother. What is the age of the daughter? | {
"A": "46",
"B": "47",
"C": "48",
"D": "49",
"E": "40"
} | subtract(60, divide(subtract(160, 60), 5)) | subtract(n0,n1)|divide(#0,n3)|subtract(n1,#1)| | "mother + daughter + child = 160 kg daughter + child = 60 kg mother = 160 - 60 = 100 kg child = 1 / 5 th of mother = ( 1 / 5 ) * 100 = 20 kg so now daughter = 120 - ( mother + child ) = 160 - ( 100 + 20 ) = 40 kg answer : e" | general |
math_qa__b6N2IdNnLUBvLUqA | A batsman makes a score of 100 runs in the 17th inning and thus increases his averages by 5. What is his average after 17th inning? Choose the correct choice from the following answers
A) 39 B) 35 C) 20 D) 40.5 E) 41.5 | <gadget id="calculator">17 * 5</gadget>
<output>85</output>
<gadget id="calculator">100 - 85</gadget>
<output>15</output>
<gadget id="calculator">15 + 5</gadget>
<output>20</output>
<result>C</result> | C | 20 | A batsman makes a score of 100 runs in the 17th inning and thus increases his averages by 5. What is his average after 17th inning? | {
"A": "39",
"B": "35",
"C": "20",
"D": "40.5",
"E": "41.5"
} | add(subtract(100, multiply(17, 5)), 5) | multiply(n1,n2)|subtract(n0,#0)|add(n2,#1)| | "let the average after 16 th inning = x then total run after 16 th inning = 16 x then total run after 17 th inning = 16 x + 100 then average run after 17 th inning = ( 16 x + 100 ) / 17 ( 16 x + 100 ) / 17 = x + 5 = > 16 x + 100 = 17 x + 85 = > x = 15 x = 15 ; average after 17 th inning = 15 + 5 = 20 answer : c" | general |
math_qa__O3xeotURpzuQurql | John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $60. What is the percent decrease? Choose one:
A) 20 %
B) 30 %
C) 40 %
D) 70 %
E) 80 % | <gadget id="calculator">100 - 60</gadget>
<output>40</output>
<result>C</result> | C | 40 | John want to buy a $100 Trouser at the store, but he think it’s too expensive. Finally, it goes on sale for $60. What is the percent decrease? | {
"A": "20 %",
"B": "30 %",
"C": "40 %",
"D": "70 %",
"E": "80 %"
} | subtract(100, 60) | subtract(n0,n1) | the is always the difference between our starting and ending points . in this case , it ’ s 100 – 60 = 40 . the “ original ” is our starting point ; in this case , it ’ s 100 . ( 40 / 100 ) * 100 = ( 0.4 ) * 100 = 40 % . c | general |
math_qa__QP97S5wwR4vV0Skx | If Rs. 561 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively?
Choose the correct choice from the following answers: A) s . 300 B) s . 360 C) s . 396 D) s . 368 E) s . 323 | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(2/3) * (1/4)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) + (1/4)</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">(5/12) + 1</gadget>
<output>17/12 = around 1.416667</output>
<gadget id="calculator">561 / (17/12)</gadget>
<output>396</output>
<result>C</result> | C | 396 | If Rs. 561 be divided among A, B, C in such a way that A gets 2/3 of what B gets and B gets 1/4 of what C gets, then their shares are respectively? | {
"A": "s . 300",
"B": "s . 360",
"C": "s . 396",
"D": "s . 368",
"E": "s . 323"
} | divide(561, add(add(multiply(divide(2, 3), divide(1, 4)), divide(1, 4)), 1)) | divide(n3,n4)|divide(n1,n2)|multiply(#1,#0)|add(#0,#2)|add(#3,n3)|divide(n0,#4)| | "( a = 2 / 3 b and b = 1 / 4 c ) = a / b = 2 / 3 and b / c = 1 / 4 a : b = 2 : 3 and b : c = 1 : 4 = 3 : 12 a : b : c = 2 : 3 : 12 a ; s share = 561 * 2 / 17 = rs . 66 b ' s share = 561 * 3 / 17 = rs . 99 c ' s share = 561 * 12 / 17 = rs . 396 . answer : c" | general |
math_qa__jOPwgTChsjHbR7au | A certain car can travel 56 kilometers on a liter of fuel. If the fuel tank’s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed, how fast is the car moving, in miles per hour? (1 gallon = 3.8 liters; 1 mile = 1.6 kilometers) Choose the correct answer:
A) 52 B) 65 C) 78 D) 91 E) 104 | <gadget id="calculator">56 * 3.8</gadget>
<output>212.8</output>
<gadget id="calculator">212.8 / 1.6</gadget>
<output>133</output>
<gadget id="calculator">133 * 3.9</gadget>
<output>518.7</output>
<gadget id="calculator">518.7 / 5.7</gadget>
<output>91</output>
<result>D</result> | D | 91 | A certain car can travel 56 kilometers on a liter of fuel. If the fuel tank’s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed, how fast is the car moving, in miles per hour? (1 gallon = 3.8 liters; 1 mile = 1.6 kilometers) | {
"A": "52",
"B": "65",
"C": "78",
"D": "91",
"E": "104"
} | divide(multiply(divide(multiply(56, 3.8), 1.6), 3.9), 5.7) | multiply(n0,n4)|divide(#0,n6)|multiply(n1,#1)|divide(#2,n2) | fuel used 3.9 gallons ; convert to liters - - > 3.9 x 3.8 liters time = 5.7 hours 1 mile = 1.6 kilometers ; convert to miles - - > 1 km = 1 / 1.6 mile speed ( km / hour ) = d / t = 56 ( km * ) x 3.9 x 3.8 / 5.7 replace ( km * ) to miles ; multiply by 1 / 1.6 mile speed ( miles / hour ) = 56 x 3.9 x 3.8 / 5.7 x 1.6 = 78 miles / hour ans : d ps : i felt the factors were easy to cancel out , so did n ' t require much rounding off = 56 x 3.9 x 3.8 / 5.7 x 1.6 = 91 d | physics |
math_qa__Os8PB7616CPEpuXj | If the length of the longest chord of a certain circle is 14, what is the radius of that certain circle? Choose the correct choice from the following answers.
A) 2.5 B) 5 C) 10 D) 7 E) 9 | <gadget id="calculator">14 / 2</gadget>
<output>7</output>
<result>D</result> | D | 7 | If the length of the longest chord of a certain circle is 14, what is the radius of that certain circle? | {
"A": "2.5",
"B": "5",
"C": "10",
"D": "7",
"E": "9"
} | divide(14, const_2) | divide(n0,const_2)| | "longest chord of a circle is the diameter of the circle diameter = 2 * radius if diameter of the circle is given as 14 = 2 * 7 so radius of the circle = 7 correct answer - d" | geometry |
math_qa__O3xfOUjyfPVGS4TO | At a certain organisation, the number of male members went up by 13% in the year 2001 from year 2000, and the number of females members went down by 6% in the same time period. If the total membership at the organisation went up by 1.2% from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000?
Choose one
A) 1 : 2 B) 1 : 3 C) 2 : 3 D) 3 : 5 E) 2 : 1 | <gadget id="calculator">1.2 / 100</gadget>
<output>0.012</output>
<gadget id="calculator">1 + 0.012</gadget>
<output>1.012</output>
<gadget id="calculator">1.012 * 1_000</gadget>
<output>1_012</output>
<gadget id="calculator">6 / 100</gadget>
<output>3/50 = around 0.06</output>
<gadget id="calculator">1 - (3/50)</gadget>
<output>47/50 = around 0.94</output>
<gadget id="calculator">(47/50) * 1_000</gadget>
<output>940</output>
<gadget id="calculator">1_012 - 940</gadget>
<output>72</output>
<gadget id="calculator">13 / 100</gadget>
<output>13/100 = around 0.13</output>
<gadget id="calculator">1 + (13/100)</gadget>
<output>113/100 = around 1.13</output>
<gadget id="calculator">(113/100) * 1_000</gadget>
<output>1_130</output>
<gadget id="calculator">1_130 - 1_012</gadget>
<output>118</output>
<gadget id="calculator">72 / 118</gadget>
<output>36/59 = around 0.610169</output>
<result>D</result> | D | 0.6 | At a certain organisation, the number of male members went up by 13% in the year 2001 from year 2000, and the number of females members went down by 6% in the same time period. If the total membership at the organisation went up by 1.2% from the year 2000 to 2001, what was the ratio of male members to female members in the year 2000? | {
"A": "1 : 2",
"B": "1 : 3",
"C": "2 : 3",
"D": "3 : 5",
"E": "2 : 1"
} | divide(subtract(multiply(add(const_1, divide(1.2, const_100)), const_1000), multiply(subtract(const_1, divide(6, const_100)), const_1000)), subtract(multiply(add(const_1, divide(13, const_100)), const_1000), multiply(add(const_1, divide(1.2, const_100)), const_1000))) | divide(n4,const_100)|divide(n3,const_100)|divide(n0,const_100)|add(#0,const_1)|add(#2,const_1)|subtract(const_1,#1)|multiply(#3,const_1000)|multiply(#5,const_1000)|multiply(#4,const_1000)|subtract(#6,#7)|subtract(#8,#6)|divide(#9,#10) | men increase by 13 % = = > 1.13 m = males in 2001 women decrease by 6 % = = > 0.94 f = women in 2001 total employees increase by 1.2 % = = > 1.012 * ( m + f ) = total number of employees in 2001 obviously ( males in 2001 ) + ( females in 2001 ) = total number of employees in 2001 1.13 m + 0.94 f = 1.012 * ( m + f ) 1.13 m + 0.94 f = 1.012 m + 1.012 f 1.13 m - 1.012 m = 1.012 f - 0.94 f 0.108 m = 0.072 f m / f = ( 0.072 ) / ( 0.118 ) = 72 / 118 = 3 / 5 answer = ( d ) | other |
math_qa__UsgpwY34olW8jPUN | In a certain pond, 40 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond? Choose one.
A) 400 B) 625 C) 1,250 D) 2,500 E) 1,000 | <gadget id="calculator">2 / 50</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">40 / (1/25)</gadget>
<output>1_000</output>
<result>E</result> | E | 1,000 | In a certain pond, 40 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond? | {
"A": "400",
"B": "625",
"C": "1,250",
"D": "2,500",
"E": "1,000"
} | divide(40, divide(2, 50)) | divide(n2,n1)|divide(n0,#0)| | "this is a rather straight forward ratio problem . 1 . 40 fish tagged 2 . 2 out of the 50 fish caught were tagged thus 2 / 50 2 / 50 = 40 / x thus , x = 1000 think of the analogy : 2 fish is to 50 fish as 50 fish is to . . . ? you ' ve tagged 50 fish and you need to find what that comprises as a percentage of the total fish population - we have that information with the ratio of the second catch . e" | gain |
math_qa__5Ijr0Y8lIF6aLS1b | A vessel of capacity 50 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution? Choose the correct answer:
A) 23.89 B) 72.9 C) 33.62 D) 78.3 E) 79.3 | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">50 - 9</gadget>
<output>41</output>
<gadget id="calculator">41 / 50</gadget>
<output>41/50 = around 0.82</output>
<gadget id="calculator">(41/50) * 9</gadget>
<output>369/50 = around 7.38</output>
<gadget id="calculator">41 - (369/50)</gadget>
<output>1_681/50 = around 33.62</output>
<result>C</result> | C | 33.62 | A vessel of capacity 50 litres is fully filled with pure milk. Nine litres of milk is removed from the vessel and replaced with water. Nine litres of the solution thus formed is removed and replaced with water. Find the quantity of pure milk in the final milk solution? | {
"A": "23.89",
"B": "72.9",
"C": "33.62",
"D": "78.3",
"E": "79.3"
} | subtract(subtract(50, multiply(const_3, const_3)), multiply(divide(subtract(50, multiply(const_3, const_3)), 50), multiply(const_3, const_3))) | multiply(const_3,const_3)|subtract(n0,#0)|divide(#1,n0)|multiply(#2,#0)|subtract(#1,#3)| | "explanation : let the initial quantity of milk in vessel be t litres . let us say y litres of the mixture is taken out and replaced by water for n times , alternatively . quantity of milk finally in the vessel is then given by [ ( t - y ) / t ] ^ n * t for the given problem , t = 50 , y = 9 and n = 2 . hence , quantity of milk finally in the vessel = [ ( 50 - 9 ) / 50 ] ^ 2 ( 50 ) = 33.62 litres . answer : option c" | physics |
math_qa__1k7cNmVkTuAcV3pm | On a Saturday night, each of the rooms at a certain motel was rented for either $40 or $60. If 10 of the rooms that were rented for $60 had instead been rented for $40, then the total rent the motel charged for that night would have been reduced by 20 percent. What was the total rent the motel actually charged for that night ? Choose the correct choice from the following choices: A) $ 600 B) $ 800 C) $ 1,000 D) $ 1,600 E) $ 2,400 | <gadget id="calculator">60 - 40</gadget>
<output>20</output>
<gadget id="calculator">10 * 20</gadget>
<output>200</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">200 / (1/5)</gadget>
<output>1_000</output>
<result>C</result> | C | 1,000 | On a Saturday night, each of the rooms at a certain motel was rented for either $40 or $60. If 10 of the rooms that were rented for $60 had instead been rented for $40, then the total rent the motel charged for that night would have been reduced by 20 percent. What was the total rent the motel actually charged for that night ? | {
"A": "$ 600",
"B": "$ 800",
"C": "$ 1,000",
"D": "$ 1,600",
"E": "$ 2,400"
} | divide(multiply(10, subtract(60, 40)), divide(20, const_100)) | divide(n5,const_100)|subtract(n1,n0)|multiply(n2,#1)|divide(#2,#0)| | "let total rent the motel charge for all rooms = x if 10 rooms that were rented for 60 $ had instead been rented for 40 $ , then total difference in prices = 20 $ * 10 = 200 $ total rent the motel charged would have been reduced by 20 % . 2 x = 200 = > x = 1000 answer c" | gain |
math_qa__JAIwEkg8wRw9bRxx | total of the ages of a , b ahd c at present is 90 years . 10 years ago , the ratio of their ages was 1 : 2 : 3 . what is the age of b at present Pick:
A) 25 B) 30 C) 45 D) 60 E) 65 | <gadget id="calculator">10 + 10</gadget>
<output>20</output>
<gadget id="calculator">20 + 10</gadget>
<output>30</output>
<gadget id="calculator">90 - 30</gadget>
<output>60</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">5 + 1</gadget>
<output>6</output>
<gadget id="calculator">60 / 6</gadget>
<output>10</output>
<gadget id="calculator">10 * 2</gadget>
<output>20</output>
<result>B</result> | B | 30 | total of the ages of a , b ahd c at present is 90 years . 10 years ago , the ratio of their ages was 1 : 2 : 3 . what is the age of b at present | {
"A": "25",
"B": "30",
"C": "45",
"D": "60",
"E": "65"
} | add(multiply(divide(subtract(90, add(add(10, 10), 10)), add(add(3, 2), 1)), 2), divide(subtract(90, add(add(10, 10), 10)), add(add(3, 2), 1))) | add(n1,n1)|add(n3,n4)|add(n1,#0)|add(n2,#1)|subtract(n0,#2)|divide(#4,#3)|multiply(n3,#5)|add(#5,#6) | explanation : let their ages 10 years ago is x , 2 x and 3 x years . 10 + 2 x + 10 + 3 x + 10 = 90 hence x = 10 b � s present age = ( 2 x + 10 ) = 30 years answer : option b | general |
math_qa__FOS28goRTyEDP0BG | ((-1.9)(0.6) – (2.6)(1.2))/8.0 = ? Choose the correct choice from the following choices.
A) - 0.53
B) 1.0
C) 1.07
D) 1.71
E) 2.71 | <gadget id="calculator">1.9 * 0.6</gadget>
<output>1.14</output>
<gadget id="calculator">-1.14</gadget>
<output>-1.14</output>
<gadget id="calculator">2.6 * 1.2</gadget>
<output>3.12</output>
<gadget id="calculator">(-1.14) - 3.12</gadget>
<output>-4.26</output>
<gadget id="calculator">(-4.26) / 8</gadget>
<output>-0.5325</output>
<result>A</result> | A | -0.53 | ((-1.9)(0.6) – (2.6)(1.2))/8.0 = ? | {
"A": "- 0.53",
"B": "1.0",
"C": "1.07",
"D": "1.71",
"E": "2.71"
} | divide(subtract(negate(multiply(1.9, 0.6)), multiply(2.6, 1.2)), 8.0) | multiply(n0,n1)|multiply(n2,n3)|negate(#0)|subtract(#2,#1)|divide(#3,n4)| | "dove straight into calculation ( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 7.0 = - 0.53 answer a" | general |
math_qa__Xvs33DVn2erR1WgH | Two pipes A and B can separately fill a tank in 12 and 20 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank? Choose the correct choice from the following answers:
A) 542 B) 540 C) 675 D) 829 E) 279 | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/12) + (1/20)</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">1 / 45</gadget>
<output>1/45 = around 0.022222</output>
<gadget id="calculator">(2/15) + (1/45)</gadget>
<output>7/45 = around 0.155556</output>
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">(7/45) - (1/15)</gadget>
<output>4/45 = around 0.088889</output>
<gadget id="calculator">1 / (4/45)</gadget>
<output>45/4 = around 11.25</output>
<gadget id="calculator">(45/4) * 3</gadget>
<output>135/4 = around 33.75</output>
<gadget id="calculator">(135/4) * 20</gadget>
<output>675</output>
<result>C</result> | C | 675 | Two pipes A and B can separately fill a tank in 12 and 20 minutes respectively. A third pipe C can drain off 45 liters of water per minute. If all the pipes are opened, the tank can be filled in 15 minutes. What is the capacity of the tank? | {
"A": "542",
"B": "540",
"C": "675",
"D": "829",
"E": "279"
} | multiply(multiply(inverse(subtract(add(add(divide(const_1, 12), divide(const_1, 20)), divide(const_1, 45)), divide(const_1, 15))), const_3), 20) | divide(const_1,n0)|divide(const_1,n1)|divide(const_1,n2)|divide(const_1,n3)|add(#0,#1)|add(#4,#2)|subtract(#5,#3)|inverse(#6)|multiply(#7,const_3)|multiply(n1,#8) | 1 / 12 + 1 / 20 - 1 / x = 1 / 15 x = 15 15 * 45 = 675 answer : c | physics |
math_qa__fy31S30VFtCtbEoL | A cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. If any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability E that a + b is prime? Select.
A) 0 B) 1 / 12 C) 5 / 12 D) 7 / 18 E) 4 / 9 | <gadget id="calculator">12 + 3</gadget>
<output>15</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) ** 2</gadget>
<output>1/36 = around 0.027778</output>
<gadget id="calculator">15 * (1/36)</gadget>
<output>5/12 = around 0.416667</output>
<result>C</result> | C | 0.416667 | A cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. If any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability E that a + b is prime? | {
"A": "0",
"B": "1 / 12",
"C": "5 / 12",
"D": "7 / 18",
"E": "4 / 9"
} | multiply(add(const_12, const_3), power(divide(1, 6), const_2)) | add(const_12,const_3)|divide(n0,n1)|power(#1,const_2)|multiply(#0,#2)| | "total # of outcomes is 6 * 6 = 36 ; favorable outcomes : a - b - - > prime 1 - 1 - - > 2 ; 1 - 2 - - > 3 ; 2 - 1 - - > 3 ; 1 - 4 - - > 5 ; 4 - 1 - - > 5 ; 2 - 3 - - > 5 ; 3 - 2 - - > 5 ; 1 - 6 - - > 7 ; 6 - 1 - - > 7 ; 2 - 5 - - > 7 ; 5 - 2 - - > 7 ; 3 - 4 - - > 7 ; 4 - 3 - - > 7 ; 6 - 5 - - > 11 ; 5 - 6 - - > 11 . total of 15 favorable outcomes e = 15 / 36 . answer : c ." | general |
math_qa__VuGaJPoAWAIKhu2e | If D||D', D:2x - y = 1 and D':(a - 1)x + 2y = x - 2, then find the value of a.
Options
A) - 3 B) - 2 C) - 1 D) 0 E) 1 | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">2 - 4</gadget>
<output>-2</output>
<result>B</result> | B | -2 | If D||D', D:2x - y = 1 and D':(a - 1)x + 2y = x - 2, then find the value of a. | {
"A": "- 3",
"B": "- 2",
"C": "- 1",
"D": "0",
"E": "1"
} | subtract(2, multiply(2, 2)) | multiply(n0,n0)|subtract(n0,#0) | d : 2 x − y = 1 , d ’ : ( a − 1 ) x + 2 y = x − 2 d : 2 x − y = 1 , d ′ : ( a − 1 ) x + 2 y = x − 2 d ∥ d ′ ⇒ md = m ′ dd ∥ d ′ ⇒ md = md ′ 2 x − y = 1 → y = 2 x − 1 → md = 22 x − y = 1 → y = 2 x − 1 → md = 2 ( a − 1 ) x + 2 y = x − 2 → 2 y = x ( 1 − a + 1 ) − 2 → 2 y = x ( 2 − a ) − 2 → ( a − 1 ) x + 2 y = x − 2 → 2 y = x ( 1 − a + 1 ) − 2 → 2 y = x ( 2 − a ) − 2 → y = x × ( 2 − a ) 2 − 1 → m ′ d = ( 2 − a ) 2 y = x × ( 2 − a ) 2 − 1 → md ′ = ( 2 − a ) 2 md = m ′ d → ( 2 − a ) 2 = 2 → 2 − a = 4 → a = − 2 answer : b - 2 | general |
math_qa__txJty0VRRo6yF4wh | Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $2500 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years? Choose the correct option
A) $ 3,750
B) $ 5,600
C) $ 8,100
D) $ 15,000
E) $ 22,500 | <gadget id="calculator">112 / 8</gadget>
<output>14</output>
<gadget id="calculator">28 / 14</gadget>
<output>2</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">2_500 * 9</gadget>
<output>22_500</output>
<result>E</result> | E | 22,500 | Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $2500 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years? | {
"A": "$ 3,750",
"B": "$ 5,600",
"C": "$ 8,100",
"D": "$ 15,000",
"E": "$ 22,500"
} | multiply(2500, power(const_3, divide(28, divide(112, 8)))) | divide(n0,n2)|divide(n3,#0)|power(const_3,#1)|multiply(n1,#2) | solution : money compounded annually at x % triples in 112 / x years . we need to find the final amount of 2500 at the end of the 28 years . . compounded annually at 8 % by putting the value in formula it will give us = 2500 ( 1.08 ) ^ 28 there must be a relation between these two conditions ? x = 8 % so money will triple in 112 / 8 = 14 years so money will be 3 ^ 2 = 9 times in 28 years so 2500 * 9 = 22500 answer : e | gain |
math_qa__Xg9u0lUpuzoEjVWZ | Replace X with the appropriate number in
4 , 5 , 14 , 15 , 24 , 25 , X
Choose the correct choice from the following options.
A) 30 B) 29 C) 34 D) 21 E) 20 | <gadget id="calculator">14 - 5</gadget>
<output>9</output>
<gadget id="calculator">25 + 9</gadget>
<output>34</output>
<result>C</result> | C | 34 | Replace X with the appropriate number in
4 , 5 , 14 , 15 , 24 , 25 , X | {
"A": "30",
"B": "29",
"C": "34",
"D": "21",
"E": "20"
} | add(25, subtract(14, 5)) | subtract(n2,n1)|add(n5,#0) | c list of consecutive numbers that has an ' f ' in the spelling | general |
math_qa__dcwsq0EeCZm3xdqf | The radius of a semi circle is 3.5 cm then its perimeter is? Pick.
A) 32.8 B) 32.4 C) 32.1 D) 18 E) 32.9 | <gadget id="calculator">2 * pi * 3.5</gadget>
<output>7.0*pi = around 21.991149</output>
<gadget id="calculator">(7.0*pi) / 2</gadget>
<output>3.5*pi = around 10.995574</output>
<gadget id="calculator">3.5 * 2</gadget>
<output>7</output>
<gadget id="calculator">(3.5*pi) + 7</gadget>
<output>7 + 3.5*pi = around 17.995574</output>
<result>D</result> | D | 18 | The radius of a semi circle is 3.5 cm then its perimeter is? | {
"A": "32.8",
"B": "32.4",
"C": "32.1",
"D": "18",
"E": "32.9"
} | add(divide(circumface(3.5), const_2), multiply(3.5, const_2)) | circumface(n0)|multiply(n0,const_2)|divide(#0,const_2)|add(#2,#1)| | "diameter = 7 cm 1 / 2 * 22 / 7 * 7 + 7 = 18 answer : d" | physics |
math_qa__zjyGyDYB9Cdwjfat | If Bill can buy 3 pairs of jeans and 2 shirts for $69 or 2 pairs of jeans and 3 shirts for $71, how much does one shirt cost?
Choose one
A) $ 10 B) $ 12 C) $ 13.20 D) $ 15 E) $ 16.80 | <gadget id="calculator">71 * 3</gadget>
<output>213</output>
<gadget id="calculator">69 * 2</gadget>
<output>138</output>
<gadget id="calculator">213 - 138</gadget>
<output>75</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">9 - 4</gadget>
<output>5</output>
<gadget id="calculator">75 / 5</gadget>
<output>15</output>
<result>D</result> | D | 15 | If Bill can buy 3 pairs of jeans and 2 shirts for $69 or 2 pairs of jeans and 3 shirts for $71, how much does one shirt cost? | {
"A": "$ 10",
"B": "$ 12",
"C": "$ 13.20",
"D": "$ 15",
"E": "$ 16.80"
} | divide(subtract(multiply(71, 3), multiply(69, 2)), subtract(multiply(3, 3), multiply(2, 2))) | multiply(n0,n5)|multiply(n1,n2)|multiply(n0,n0)|multiply(n1,n1)|subtract(#0,#1)|subtract(#2,#3)|divide(#4,#5)| | "3 j + 2 s = 69 2 j + 3 s = 71 - - - - - - - - - - - - - - - - 5 j + 5 s = 140 - - - - ( divide by 5 ) - - - > j + s = 28 3 j + 2 s = j + 2 ( j + s ) = j + 56 = 69 - - - > j = 13 3 * 13 + 2 s = 69 39 + 2 s = 69 2 s = 30 s = 15 answer : d" | general |
math_qa__Ca4wjuUzmrdYyfTP | 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 165kg then find the average weight of all the 7 rounds? Choose one: A) 94.2 kgs B) 88.5 kgs C) 86.5 kgs D) 67.5 kgs E) 88.2 kgs | <gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">4 * 165</gadget>
<output>660</output>
<gadget id="calculator">660 / 7</gadget>
<output>660/7 = around 94.285714</output>
<result>A</result> | A | 94.2 | 3 friends A, B, C went for week end party to McDonald’s restaurant and there they measure there weights in some order In 7 rounds. A, B, C, AB, BC, AC, ABC. Final round measure is 165kg then find the average weight of all the 7 rounds? | {
"A": "94.2 kgs",
"B": "88.5 kgs",
"C": "86.5 kgs",
"D": "67.5 kgs",
"E": "88.2 kgs"
} | divide(multiply(add(const_1, 3), 165), 7) | add(const_1,n0)|multiply(n2,#0)|divide(#1,n1)| | "average weight = [ ( a + b + c + ( a + b ) + ( b + c ) + ( c + a ) + ( a + b + c ) ] / 7 = 4 ( a + b + c ) / 7 = 4 x 165 / 7 = 94.2 kgs answer : a" | general |
math_qa__0U2AZFJpBw0UMYLj | The area of a rectangular field is equal to 800 square meters. Its perimeter is equal to 120 meters. Find the width of this rectangle. Choose the correct option: A) 5 B) 10 C) 15 D) 20 E) 25 | <gadget id="calculator">120 / 2</gadget>
<output>60</output>
<gadget id="calculator">60 * 60</gadget>
<output>3_600</output>
<gadget id="calculator">4 * 800</gadget>
<output>3_200</output>
<gadget id="calculator">3_600 - 3_200</gadget>
<output>400</output>
<gadget id="calculator">400 ** (1/2)</gadget>
<output>20</output>
<gadget id="calculator">60 - 20</gadget>
<output>40</output>
<gadget id="calculator">40 / 2</gadget>
<output>20</output>
<result>D</result> | D | 20 | The area of a rectangular field is equal to 800 square meters. Its perimeter is equal to 120 meters. Find the width of this rectangle. | {
"A": "5",
"B": "10",
"C": "15",
"D": "20",
"E": "25"
} | divide(subtract(divide(120, const_2), sqrt(subtract(multiply(divide(120, const_2), divide(120, const_2)), multiply(const_4, 800)))), const_2) | divide(n1,const_2)|multiply(n0,const_4)|multiply(#0,#0)|subtract(#2,#1)|sqrt(#3)|subtract(#0,#4)|divide(#5,const_2)| | "l * w = 800 : area , l is the length and w is the width . 2 l + 2 w = 120 : perimeter l = 60 - w : solve for l ( 60 - w ) * w = 800 : substitute in the area equation w = 20 and l = 40 correct answer d" | geometry |
math_qa__QfD1yKdYlCVlnbaM | Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 20 more photos than Claire. How many photos has Claire taken? Choose the correct choice from the following choices
A) 6 B) 8 C) 10 D) 12 E) 14 | <gadget id="calculator">3 - 1</gadget>
<output>2</output>
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<result>C</result> | C | 10 | Lisa and Robert have taken the same number of photos on their school trip. Lisa has taken 3 times as many photos as Claire and Robert has taken 20 more photos than Claire. How many photos has Claire taken? | {
"A": "6",
"B": "8",
"C": "10",
"D": "12",
"E": "14"
} | divide(20, subtract(3, const_1)) | subtract(n0,const_1)|divide(n1,#0)| | "l = r l = 3 c r = c + 20 3 c = c + 20 c = 10 the answer is c ." | general |
math_qa__r0WF8XY4KVWarcvy | In a company, 48 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women? Select the correct option.
A) 85 %
B) 80 %
C) 75 %
D) 70 %
E) 65 % | <gadget id="calculator">100 - 48</gadget>
<output>52</output>
<gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">60 * (7/10)</gadget>
<output>42</output>
<gadget id="calculator">60 - 42</gadget>
<output>18</output>
<gadget id="calculator">52 - 18</gadget>
<output>34</output>
<gadget id="calculator">100 - 60</gadget>
<output>40</output>
<gadget id="calculator">34 / 40</gadget>
<output>17/20 = around 0.85</output>
<gadget id="calculator">100 * (17/20)</gadget>
<output>85</output>
<result>A</result> | A | 85 | In a company, 48 percent of the employees are men. If 60 percent of the employees are unionized and 70 percent of these are men, what percent of the non-union employees are women? | {
"A": "85 %",
"B": "80 %",
"C": "75 %",
"D": "70 %",
"E": "65 %"
} | multiply(const_100, divide(subtract(subtract(const_100, 48), subtract(60, multiply(60, divide(70, const_100)))), subtract(const_100, 60))) | divide(n2,const_100)|subtract(const_100,n0)|subtract(const_100,n1)|multiply(n1,#0)|subtract(n1,#3)|subtract(#1,#4)|divide(#5,#2)|multiply(#6,const_100)| | "the percent of employees who are unionized and men is 0.7 * 0.6 = 42 % the percent of employees who are unionized and women is 60 - 42 = 18 % 52 % of all employees are women , so non - union women are 52 % - 18 % = 34 % 40 % of all employees are non - union . the percent of non - union employees who are women is 34 % / 40 % = 85 % the answer is a ." | gain |
math_qa__L0BPNnlIkyJ1rwKI | By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 500 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution? Choose the correct choice from the following answers.
A) 1.66 % B) 1.96 % C) 10 % D) 15 % E) 19 % | <gadget id="calculator">500 * 0.8</gadget>
<output>400</output>
<gadget id="calculator">700 * 1.8</gadget>
<output>1_260</output>
<gadget id="calculator">400 + 1_260</gadget>
<output>1_660</output>
<gadget id="calculator">1_660 / 1_000</gadget>
<output>83/50 = around 1.66</output>
<result>A</result> | A | 1.66 | By weight, liquid X makes up 0.8 percent of solution A and 1.8 percent of solution B. If 500 grams of solution A are mixed with 700 grams of solution B, then liquid X accounts for what percent of the weight of the resulting solution? | {
"A": "1.66 %",
"B": "1.96 %",
"C": "10 %",
"D": "15 %",
"E": "19 %"
} | divide(add(multiply(500, 0.8), multiply(700, 1.8)), const_1000) | multiply(n0,n2)|multiply(n1,n3)|add(#0,#1)|divide(#2,const_1000)| | "i think there is a typo in question . it should have been ` ` by weight liquid ' x ' makes up . . . . . ` ` weight of liquid x = 0.8 % of weight of a + 1.8 % of weight of b when 500 gms of a and 700 gms of b is mixed : weight of liquid x = ( 0.8 * 500 ) / 100 + ( 1.8 * 700 ) / 100 = 16.6 gms % of liquid x in resultant mixture = ( 16.6 / 1000 ) * 100 = 1.66 % a" | gain |
math_qa__EyEAxLSM5DST21vC | What number has a 5:1 ratio to the number 9? Choose the correct choice from the following:
A) 45 B) 50 C) 88 D) 52 E) 12 | <gadget id="calculator">9 * 5</gadget>
<output>45</output>
<result>A</result> | A | 45 | What number has a 5:1 ratio to the number 9? | {
"A": "45",
"B": "50",
"C": "88",
"D": "52",
"E": "12"
} | multiply(9, 5) | multiply(n0,n2)| | "5 : 1 = x : 9 x = 45 answer : a" | other |
math_qa__GMgjGAgRXkViLvsp | What is the compound interest paid on a sum of Rs.3000 for the period of 3 years at 10% per annum. Select
A) 900 B) 930 C) 990 D) 993 E) none of these | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">(11/10) ** 3</gadget>
<output>1_331/1_000 = around 1.331</output>
<gadget id="calculator">3_000 * (1_331/1_000)</gadget>
<output>3_993</output>
<gadget id="calculator">3_993 - 3_000</gadget>
<output>993</output>
<result>D</result> | D | 993 | What is the compound interest paid on a sum of Rs.3000 for the period of 3 years at 10% per annum. | {
"A": "900",
"B": "930",
"C": "990",
"D": "993",
"E": "none of these"
} | subtract(multiply(3000, power(add(const_1, divide(10, const_100)), 3)), 3000) | divide(n2,const_100)|add(#0,const_1)|power(#1,n1)|multiply(n0,#2)|subtract(#3,n0)| | "solution = interest % for 1 st year = 10 interest % for 2 nd year = 10 + 10 % of 10 = 10 + 10 * 10 / 100 = 11 interest % for 3 rd year = 10 + 10 % ( 10 + 11 ) = 10 + 2.1 = 12.1 total % of interest = 10 + 11 + 12.1 = 33.1 total interest = 33.1 % 3000 = 3000 * ( 33.1 / 100 ) = 993 answer d" | gain |
math_qa__r02XZeU5Saua6mQb | A person borrows Rs. 6000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year. Select
A) 120 rs B) 150 rs C) 160 rs D) 180 rs E) 200 rs | <gadget id="calculator">6_000 * 6</gadget>
<output>36_000</output>
<gadget id="calculator">36_000 * 2</gadget>
<output>72_000</output>
<gadget id="calculator">72_000 / 100</gadget>
<output>720</output>
<gadget id="calculator">6_000 * 4</gadget>
<output>24_000</output>
<gadget id="calculator">24_000 * 2</gadget>
<output>48_000</output>
<gadget id="calculator">48_000 / 100</gadget>
<output>480</output>
<gadget id="calculator">720 - 480</gadget>
<output>240</output>
<gadget id="calculator">240 / 2</gadget>
<output>120</output>
<result>A</result> | A | 120 | A person borrows Rs. 6000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year. | {
"A": "120 rs",
"B": "150 rs",
"C": "160 rs",
"D": "180 rs",
"E": "200 rs"
} | divide(subtract(divide(multiply(multiply(6000, 6), 2), const_100), divide(multiply(multiply(6000, 4), 2), const_100)), 2) | multiply(n0,n3)|multiply(n0,n2)|multiply(n1,#0)|multiply(n1,#1)|divide(#2,const_100)|divide(#3,const_100)|subtract(#4,#5)|divide(#6,n1)| | "gain in 2 years = [ ( 6000 * 6 * 2 ) / 100 ] - [ ( 6000 * 4 * 2 ) / 100 ] 720 - 480 = 240 gain in 1 year = ( 240 / 2 ) = 120 rs answer : a" | gain |
math_qa__Ju90aVowoMALpo0C | A person crosses a 1440 m long street in 12 minutes. What is his speed in km per hour? Choices:
A) 4.1
B) 4.5
C) 4.8
D) 5.4
E) 7.2 | <gadget id="calculator">1_440 / 1_000</gadget>
<output>36/25 = around 1.44</output>
<gadget id="calculator">12 * 60</gadget>
<output>720</output>
<gadget id="calculator">720 / 3_600</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(36/25) / (1/5)</gadget>
<output>36/5 = around 7.2</output>
<result>E</result> | E | 7.2 | A person crosses a 1440 m long street in 12 minutes. What is his speed in km per hour? | {
"A": "4.1",
"B": "4.5",
"C": "4.8",
"D": "5.4",
"E": "7.2"
} | divide(divide(1440, const_1000), divide(multiply(12, const_60), const_3600)) | divide(n0,const_1000)|multiply(n1,const_60)|divide(#1,const_3600)|divide(#0,#2)| | "speed = 1440 / ( 12 x 60 ) m / sec = 2 m / sec . converting m / sec to km / hr = 2 x ( 18 / 5 ) km / hr = 7.2 km / hr . answer : e" | physics |
math_qa__2m2azVTgFuZPKDwJ | An object thrown directly upward is at a height of h feet after t seconds, where h = -14 (t-3)^2 + 140. At what height, in feet, is the object 2 seconds after it reaches its maximum height? Select the correct option:
A) 62 B) 68 C) 76 D) 84 E) 96 | <gadget id="calculator">-14</gadget>
<output>-14</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">(-14) * 4</gadget>
<output>-56</output>
<gadget id="calculator">(-56) + 140</gadget>
<output>84</output>
<result>D</result> | D | 84 | An object thrown directly upward is at a height of h feet after t seconds, where h = -14 (t-3)^2 + 140. At what height, in feet, is the object 2 seconds after it reaches its maximum height? | {
"A": "62",
"B": "68",
"C": "76",
"D": "84",
"E": "96"
} | add(multiply(negate(14), power(subtract(add(3, 2), 3), 2)), 140) | add(n1,n2)|negate(n0)|subtract(#0,n1)|power(#2,n2)|multiply(#1,#3)|add(n3,#4)| | "we see that h will be a maximum h = 140 when t - 3 = 0 , that is when t = 3 . at t = 5 , h = - 14 ( 5 - 3 ) ^ 2 + 140 = - 14 ( 4 ) + 140 = 84 the answer is d ." | general |
math_qa__Es4VOLD5tFVAgcSB | Rani bought more apples than oranges. She sells apples at ₹23 apiece and makes 15% profit. She sells oranges at ₹10 apiece and makes 25% profit. If she gets ₹653 after selling all the apples and oranges, find her profit percentage X. Choose the correct choice from the following options.
A) 16.8 % B) 17.4 % C) 17.9 % D) 18.5 % E) 19.1 % | <gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">20 + 1</gadget>
<output>21</output>
<gadget id="calculator">20 * 21</gadget>
<output>420</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) + 1</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">10 / (5/4)</gadget>
<output>8</output>
<gadget id="calculator">15 + 2</gadget>
<output>17</output>
<gadget id="calculator">8 * 17</gadget>
<output>136</output>
<gadget id="calculator">420 + 136</gadget>
<output>556</output>
<gadget id="calculator">653 - 556</gadget>
<output>97</output>
<gadget id="calculator">97 / 556</gadget>
<output>97/556 = around 0.17446</output>
<gadget id="calculator">(97/556) * 100</gadget>
<output>2_425/139 = around 17.446043</output>
<result>B</result> | B | 17.4 | Rani bought more apples than oranges. She sells apples at ₹23 apiece and makes 15% profit. She sells oranges at ₹10 apiece and makes 25% profit. If she gets ₹653 after selling all the apples and oranges, find her profit percentage X. | {
"A": "16.8 %",
"B": "17.4 %",
"C": "17.9 %",
"D": "18.5 %",
"E": "19.1 %"
} | multiply(divide(subtract(653, add(multiply(multiply(const_2, 10), add(multiply(const_2, 10), const_1)), multiply(divide(10, add(divide(25, const_100), const_1)), add(15, const_2)))), add(multiply(multiply(const_2, 10), add(multiply(const_2, 10), const_1)), multiply(divide(10, add(divide(25, const_100), const_1)), add(15, const_2)))), const_100) | add(n1,const_2)|divide(n3,const_100)|multiply(n2,const_2)|add(#2,const_1)|add(#1,const_1)|divide(n2,#4)|multiply(#3,#2)|multiply(#0,#5)|add(#6,#7)|subtract(n4,#8)|divide(#9,#8)|multiply(#10,const_100)| | "given : selling price of an apple = 23 - - > cost price = 23 / 1.15 = 20 selling price of an orange = 10 - - > cost price = 10 / 1.25 = 8 a > o 23 * ( a ) + 10 * ( o ) = 653 653 - 23 * ( a ) has to be divisible by 10 - - > units digit has to be 0 values of a can be 1 , 11 , 21 , 31 , . . . . - - > 1 can not be the value between 11 and 21 , if a = 11 , o = 30 - - > not possible if a = 21 , o = 17 - - > possible cost price = 20 * 21 + 8 * 17 = 420 + 136 = 556 profit = 653 - 556 = 97 profit % x = ( 97 / 556 ) * 100 = 17.4 % answer : b" | general |
math_qa__Rq7YoNGSPVPGfDMy | The amount of time that three people worked on a special project was in the ratio of 2 to 3 to 4. If the project took 90 hours, how many more hours did the hardest working person work than the person who worked the least? Choose the correct choice from the following choices: A) 18 hours B) 22 hours C) 25 hours D) 26 hours E) 20 hours | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">90 / 9</gadget>
<output>10</output>
<gadget id="calculator">10 * 4</gadget>
<output>40</output>
<gadget id="calculator">10 * 2</gadget>
<output>20</output>
<gadget id="calculator">40 - 20</gadget>
<output>20</output>
<result>E</result> | E | 20 | The amount of time that three people worked on a special project was in the ratio of 2 to 3 to 4. If the project took 90 hours, how many more hours did the hardest working person work than the person who worked the least? | {
"A": "18 hours",
"B": "22 hours",
"C": "25 hours",
"D": "26 hours",
"E": "20 hours"
} | subtract(multiply(divide(90, add(add(2, 3), 4)), 4), multiply(divide(90, add(add(2, 3), 4)), 2)) | add(n0,n1)|add(n2,#0)|divide(n3,#1)|multiply(n2,#2)|multiply(n0,#2)|subtract(#3,#4)| | "let the persons be a , b , c . hours worked : a = 2 * 90 / 9 = 20 hours b = 3 * 90 / 9 = 30 hours c = 4 * 90 / 9 = 40 hours c is the hardest worker and a worked for the least number of hours . so the difference is 40 - 20 = 20 hours . answer : e" | physics |
math_qa__tltNOJxg4fvM8IoQ | A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 9 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city? Choose one: A) 14 B) 16 C) 21 D) 24 E) 27 | <gadget id="calculator">462 - 336</gadget>
<output>126</output>
<gadget id="calculator">126 / 9</gadget>
<output>14</output>
<gadget id="calculator">336 / 14</gadget>
<output>24</output>
<result>D</result> | D | 24 | A car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city. If the car traveled 9 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city? | {
"A": "14",
"B": "16",
"C": "21",
"D": "24",
"E": "27"
} | divide(336, divide(subtract(462, 336), 9)) | subtract(n0,n1)|divide(#0,n2)|divide(n1,#1)| | "i treat such problems as work ones . work = rate * time mileage ( m ) = rate ( mpg ) * gallons ( g ) x gallons is a full tank { 462 = rx { 336 = ( r - 9 ) x solve for r , r = 33 33 - 9 = 24 mpg d" | physics |
math_qa__Vbr4UWldYxuq68AZ | The ratio of the radius of two circles is 2: 7, and then the ratio of their areas is?
Choose the correct choice from the following:
A) 1 : 7
B) 2 : 9
C) 1 : 9
D) 4 : 49
E) 3 : 4 | <gadget id="calculator">pi * (2 ** 2)</gadget>
<output>4*pi = around 12.566371</output>
<gadget id="calculator">pi * (7 ** 2)</gadget>
<output>49*pi = around 153.93804</output>
<gadget id="calculator">(4*pi) / (49*pi)</gadget>
<output>4/49 = around 0.081633</output>
<result>D</result> | D | 0.081633 | The ratio of the radius of two circles is 2: 7, and then the ratio of their areas is? | {
"A": "1 : 7",
"B": "2 : 9",
"C": "1 : 9",
"D": "4 : 49",
"E": "3 : 4"
} | divide(circle_area(2), circle_area(7)) | circle_area(n0)|circle_area(n1)|divide(#0,#1)| | "r 1 : r 2 = 2 : 7 î r 1 ^ 2 : î r 2 ^ 2 r 1 ^ 2 : r 2 ^ 2 = 4 : 49 answer : d" | geometry |
math_qa__g8yXDuZCnuLHFRrm | Karen places a bet with Tom that she will beat Tom in a car race by 4 miles even if Karen starts 4 minutes late. Assuming that Karen drives at an average speed of 60 mph and Tom drives at an average speed of 45 mph, how many Q miles will Tom drive before Karen wins the bet? Choose one:
A) 15 B) 18 C) 21 D) 24 E) 27 | <gadget id="calculator">45 / 60</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) * 4</gadget>
<output>3</output>
<gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">60 / 60</gadget>
<output>1</output>
<gadget id="calculator">1 - (3/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">7 / (1/4)</gadget>
<output>28</output>
<gadget id="calculator">28 - 4</gadget>
<output>24</output>
<result>D</result> | D | 24 | Karen places a bet with Tom that she will beat Tom in a car race by 4 miles even if Karen starts 4 minutes late. Assuming that Karen drives at an average speed of 60 mph and Tom drives at an average speed of 45 mph, how many Q miles will Tom drive before Karen wins the bet? | {
"A": "15",
"B": "18",
"C": "21",
"D": "24",
"E": "27"
} | subtract(divide(add(multiply(divide(45, 60), 4), 4), subtract(divide(60, 60), divide(45, 60))), 4) | divide(n3,n2)|divide(n2,n2)|multiply(n0,#0)|subtract(#1,#0)|add(n0,#2)|divide(#4,#3)|subtract(#5,n0)| | "let k and t be the speeds of karen and tom respectively . t be the time that karen will travel - - - - > t + 4 / 60 will be the total time tom will travel by the time the distance between karen and tom is 4 miles . thus , per the question , k ( t ) - t ( t + 4 / 60 ) = 4 - - - > t = 7 / 15 hours thus the distance traveled by tom when karen is 4 miles ahead of him : t * ( t + 4 / 60 ) = 45 ( 7 / 15 + 4 / 60 ) q = 24 miles . d is the correct answer ." | physics |
math_qa__2Fl5GeuN3uW6LEar | there are 7 thieves . they stole diamonds from a diamond merchant and ran away . while running , night sets in and they decide to rest in the jungle . when everybody was sleeping , two of them woke up and decided to divide the diamonds equally among themselves . but when they divided the diamonds equally , one diamond is left . so they woke up the 3 rd thief and tried to divide the diamonds equally again but still one diamond was left . then they woke up the 4 th thief to divide the diamonds equally again , and again one diamond was left . this happened with the 5 th and 6 th thief – one diamond was still left . finally , they woke up the 7 th thief and this time the diamonds were divided equally . how many diamonds did they steal in total ? Choose the correct choice from the following options
A) 1560
B) 1561
C) 1559
D) 1557
E) none of the above | <gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">7 + 3</gadget>
<output>10</output>
<gadget id="calculator">20 * 10</gadget>
<output>200</output>
<gadget id="calculator">200 + 20</gadget>
<output>220</output>
<gadget id="calculator">220 + 3</gadget>
<output>223</output>
<gadget id="calculator">223 * 7</gadget>
<output>1_561</output>
<result>B</result> | B | 1,561 | there are 7 thieves . they stole diamonds from a diamond merchant and ran away . while running , night sets in and they decide to rest in the jungle . when everybody was sleeping , two of them woke up and decided to divide the diamonds equally among themselves . but when they divided the diamonds equally , one diamond is left . so they woke up the 3 rd thief and tried to divide the diamonds equally again but still one diamond was left . then they woke up the 4 th thief to divide the diamonds equally again , and again one diamond was left . this happened with the 5 th and 6 th thief – one diamond was still left . finally , they woke up the 7 th thief and this time the diamonds were divided equally . how many diamonds did they steal in total ? | {
"A": "1560",
"B": "1561",
"C": "1559",
"D": "1557",
"E": "none of the above"
} | multiply(add(add(multiply(multiply(4, 5), add(7, 3)), multiply(4, 5)), 3), 7) | add(n0,n1)|multiply(n2,n3)|multiply(#0,#1)|add(#2,#1)|add(n1,#3)|multiply(n0,#4) | we need a number that is a multiple of 7 that will give a remainder of 1 when divided by 2 , 3 , 4 , 5 , and 6 . the least common multiple of these numbers is 60 . so , we need a multiple of 7 that is 1 greater than a multiple of 60 . answer b | general |
math_qa__lXJPPo1N8dq7vfkc | In a race where 15 cars are running, the chance that car X will win is 1/4, that Y will win is 1/8 and that Z will win is 1/12. Assuming that a dead heat is impossible, find the chance that one of them will win. Choose the correct choice from the following answers:
A) 1 / 140
B) 1 / 180
C) 11 / 24
D) 10 / 15
E) 57 / 120 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/4) + (1/8)</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(3/8) + (1/12)</gadget>
<output>11/24 = around 0.458333</output>
<result>C</result> | C | 0.458333 | In a race where 15 cars are running, the chance that car X will win is 1/4, that Y will win is 1/8 and that Z will win is 1/12. Assuming that a dead heat is impossible, find the chance that one of them will win. | {
"A": "1 / 140",
"B": "1 / 180",
"C": "11 / 24",
"D": "10 / 15",
"E": "57 / 120"
} | add(add(divide(1, 4), divide(1, 8)), divide(1, 12)) | divide(n1,n2)|divide(n1,n4)|divide(n1,n6)|add(#0,#1)|add(#3,#2)| | "required probability = p ( x ) + p ( y ) + p ( z ) ( all the events are mutually exclusive ) . = 1 / 4 + 1 / 8 + 1 / 12 = 11 / 24 answer : c" | general |
math_qa__GungqP2DoBe8PFOF | Some of 50%-intensity red paint is replaced with 20% solution of red paint such that the new paint intensity is 40%. What fraction of the original paint was replaced? Pick one.
A) 1 / 3 B) 1 / 5 C) 2 / 3 D) 3 / 4 E) 4 / 5 | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(2/5) - (1/2)</gadget>
<output>-1/10 = around -0.1</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) - (1/2)</gadget>
<output>-3/10 = around -0.3</output>
<gadget id="calculator">(-1/10) / (-3/10)</gadget>
<output>1/3 = around 0.333333</output>
<result>A</result> | A | 0.333333 | Some of 50%-intensity red paint is replaced with 20% solution of red paint such that the new paint intensity is 40%. What fraction of the original paint was replaced? | {
"A": "1 / 3",
"B": "1 / 5",
"C": "2 / 3",
"D": "3 / 4",
"E": "4 / 5"
} | divide(subtract(divide(40, const_100), divide(50, const_100)), subtract(divide(20, const_100), divide(50, const_100))) | divide(n2,const_100)|divide(n0,const_100)|divide(n1,const_100)|subtract(#0,#1)|subtract(#2,#1)|divide(#3,#4)| | "40 % is 20 % - points above 20 % and 10 % - points below 50 % . thus the ratio of 20 % - solution to 50 % - solution is 1 : 2 . 1 / 3 of the original paint was replaced . the answer is a ." | gain |
math_qa__wt7XA9M5KXtSXIaG | The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 60 feet wide by 150 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool? Pick
A) 1800 B) 1000 C) 1200 D) 1400 E) 1600 | <gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">60 * 150</gadget>
<output>9_000</output>
<gadget id="calculator">9_000 * 10</gadget>
<output>90_000</output>
<gadget id="calculator">(4/5) * 90_000</gadget>
<output>72_000</output>
<gadget id="calculator">72_000 / 60</gadget>
<output>1_200</output>
<result>C</result> | C | 1,200 | The Malibu Country Club needs to drain its pool for refinishing. The hose they use to drain it can remove 60 cubic feet of water per minute. If the pool is 60 feet wide by 150 feet long by 10 feet deep and is currently at 80% capacity, how long will it take to drain the pool? | {
"A": "1800",
"B": "1000",
"C": "1200",
"D": "1400",
"E": "1600"
} | divide(multiply(divide(80, const_100), multiply(multiply(60, 150), 10)), 60) | divide(n4,const_100)|multiply(n1,n2)|multiply(n3,#1)|multiply(#0,#2)|divide(#3,n0)| | "volume of pool = 60 * 150 * 10 cu . ft , 80 % full = 60 * 150 * 10 * 0.8 cu . ft water is available to drain . draining capacity = 60 cu . ft / min therefore time taken = 60 * 150 * 10 * 0.8 / 60 min = 1200 min c" | gain |
math_qa__n7ldWa9JLAR0Pr5f | A shopkeeper labeled the price of his articles so as to earn a profit of 50% on the cost price. He then sold the articles by offering a discount of 10% on the labeled price. What is the actual percent profit earned in the deal? Pick: A) 35 % B) 20 % C) 17 % D) 18 % E) none of these | <gadget id="calculator">100 + 50</gadget>
<output>150</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">150 * (1/10)</gadget>
<output>15</output>
<gadget id="calculator">150 - 15</gadget>
<output>135</output>
<gadget id="calculator">135 - 100</gadget>
<output>35</output>
<result>A</result> | A | 35 | A shopkeeper labeled the price of his articles so as to earn a profit of 50% on the cost price. He then sold the articles by offering a discount of 10% on the labeled price. What is the actual percent profit earned in the deal? | {
"A": "35 %",
"B": "20 %",
"C": "17 %",
"D": "18 %",
"E": "none of these"
} | subtract(subtract(add(const_100, 50), multiply(add(const_100, 50), divide(10, const_100))), const_100) | add(n0,const_100)|divide(n1,const_100)|multiply(#0,#1)|subtract(#0,#2)|subtract(#3,const_100)| | "explanation : let the cp of the article = rs . 100 . then labeled price = rs . 150 . sp = rs . 150 - 10 % of 150 = rs . 150 - 15 = rs . 135 . gain = rs . 135 â € “ rs . 100 = rs . 35 therefore , gain / profit percent = 35 % . answer : option a" | gain |
math_qa__fJSuJz3fMQw0hawo | To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 770 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”? Select:
A) 191
B) 193
C) 195
D) 212
E) 213 | <gadget id="calculator">770 / 4</gadget>
<output>385/2 = around 192.5</output>
<result>B</result> | B | 193 | To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 770 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”? | {
"A": "191",
"B": "193",
"C": "195",
"D": "212",
"E": "213"
} | divide(770, 4) | divide(n3,n1)| | "total movies submitted are 770 . as per question we need to take 1 / 4 of 770 to be considered for top 10 movies = 192.25 approximate the value we 193 imo option b is the correct answer . . ." | general |
math_qa__zXBSpP34GBIXqsfQ | 1/3 of girls , 1/2 of boys go to canteen .What factor and total number of classmates go to canteen. Choose one
A) 1 / 5 B) 1 / 4 C) 1 / 3 D) 2 / 5 E) 2 / 3 | <gadget id="calculator">12 / 3</gadget>
<output>4</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">4 + 6</gadget>
<output>10</output>
<gadget id="calculator">12 + 12</gadget>
<output>24</output>
<gadget id="calculator">10 / 24</gadget>
<output>5/12 = around 0.416667</output>
<result>D</result> | D | 0.4 | 1/3 of girls , 1/2 of boys go to canteen .What factor and total number of classmates go to canteen. | {
"A": "1 / 5",
"B": "1 / 4",
"C": "1 / 3",
"D": "2 / 5",
"E": "2 / 3"
} | divide(add(divide(const_12, 3), divide(const_12, 2)), add(const_12, const_12)) | add(const_12,const_12)|divide(const_12,n1)|divide(const_12,n3)|add(#1,#2)|divide(#3,#0) | let total girls be 3 . . . and total boys be 2 . . . so total girls going to canteen = 1 boys going to canteen = 1 total no . of classmates = 5 ( only suppose . . . . . . to find out the factor of students going to canteen . . . ) factor of classmates going to canteen = 2 / 5 . answer : d | general |
math_qa__lVTxeA1A2rvnp3o5 | Suraj has a certain average of runs for 9 innings. In the 10th innings he scores 200 runs thereby increasing his average by 8 runs. What is his average after the 10th innings?
Choose the correct choice:
A) 149
B) 190
C) 128
D) 178
E) 190 | <gadget id="calculator">9 * 8</gadget>
<output>72</output>
<gadget id="calculator">200 - 72</gadget>
<output>128</output>
<gadget id="calculator">10 - 9</gadget>
<output>1</output>
<gadget id="calculator">128 / 1</gadget>
<output>128</output>
<result>C</result> | C | 128 | Suraj has a certain average of runs for 9 innings. In the 10th innings he scores 200 runs thereby increasing his average by 8 runs. What is his average after the 10th innings? | {
"A": "149",
"B": "190",
"C": "128",
"D": "178",
"E": "190"
} | divide(subtract(200, multiply(9, 8)), subtract(10, 9)) | multiply(n0,n3)|subtract(n1,n0)|subtract(n2,#0)|divide(#2,#1)| | "to improve his average by 8 runs per innings he has to contribute 9 x 8 = 72 runs for the previous 8 innings . thus , the average after the 9 th innings = 200 - 72 = 128 . answer : c" | general |
math_qa__e3lFYLPftY3WfMmS | At a particular graduation party with 220 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 12 males did not bring gifts to the party, how many females did bring gifts?
Options:
A) 18 B) 36 C) 42 D) 68 E) 70 | <gadget id="calculator">70 * 220</gadget>
<output>15_400</output>
<gadget id="calculator">15_400 / 100</gadget>
<output>154</output>
<gadget id="calculator">220 - 154</gadget>
<output>66</output>
<gadget id="calculator">66 - 12</gadget>
<output>54</output>
<gadget id="calculator">54 * 100</gadget>
<output>5_400</output>
<gadget id="calculator">100 - 40</gadget>
<output>60</output>
<gadget id="calculator">5_400 / 60</gadget>
<output>90</output>
<gadget id="calculator">90 * 40</gadget>
<output>3_600</output>
<gadget id="calculator">3_600 / 100</gadget>
<output>36</output>
<result>B</result> | B | 36 | At a particular graduation party with 220 guests, 70% of the guests brought gifts, and 40% of the female guests brought gifts. If 12 males did not bring gifts to the party, how many females did bring gifts? | {
"A": "18",
"B": "36",
"C": "42",
"D": "68",
"E": "70"
} | divide(multiply(divide(multiply(subtract(subtract(220, divide(multiply(70, 220), const_100)), 12), const_100), subtract(const_100, 40)), 40), const_100) | multiply(n0,n1)|subtract(const_100,n2)|divide(#0,const_100)|subtract(n0,#2)|subtract(#3,n3)|multiply(#4,const_100)|divide(#5,#1)|multiply(n2,#6)|divide(#7,const_100)| | "the correct method total = 220 . . 70 % of 220 = 154 got gifts . . 66 did not get gift , out of which 12 are males , so remaining 60 - 12 = 54 are females . . but 40 % females brought gift , so 60 % did not get it . . so 60 % = 54 , 100 % = 54 * 100 / 60 = 90 . . ans 40 % of 90 = 36 b" | gain |
math_qa__iBPJrNAV8SLkLyra | In Town X, 64 percent of the population are employed, and 42 percent of the population are employed males. What percent of the employed people in Town X are females?
Choose the correct answer: A) 16 % B) 25 % C) 32 % D) 34 % E) 52 % | <gadget id="calculator">64 - 42</gadget>
<output>22</output>
<gadget id="calculator">22 / 64</gadget>
<output>11/32 = around 0.34375</output>
<gadget id="calculator">(11/32) * 100</gadget>
<output>275/8 = around 34.375</output>
<result>D</result> | D | 34 | In Town X, 64 percent of the population are employed, and 42 percent of the population are employed males. What percent of the employed people in Town X are females? | {
"A": "16 %",
"B": "25 %",
"C": "32 %",
"D": "34 %",
"E": "52 %"
} | multiply(divide(subtract(64, 42), 64), const_100) | subtract(n0,n1)|divide(#0,n0)|multiply(#1,const_100)| | "we are asked to find the percentage of females in employed people . total employed people 64 % , out of which 42 are employed males , hence 22 % are employed females . ( employed females ) / ( total employed people ) = 22 / 64 = 34 % answer : d ." | gain |
math_qa__JjGmfzQaMIEFnl6y | If n divided by 7 has a remainder of 1, what is the remainder when 3 times n is divided by 7? Choose the correct option: A) 1 B) 2 C) 3 D) 5 E) 6 | <gadget id="calculator">3 * 1</gadget>
<output>3</output>
<result>C</result> | C | 3 | If n divided by 7 has a remainder of 1, what is the remainder when 3 times n is divided by 7? | {
"A": "1",
"B": "2",
"C": "3",
"D": "5",
"E": "6"
} | multiply(3, 1) | multiply(n1,n2)| | "as per question = > n = 7 p + 1 for some integer p hence 3 n = > 21 q + 3 = > remainder = > 6 for some integer q alternatively = > n = 2 > 3 n = > 3 = > 3 divided by 7 will leave a remainder 3 hence c" | general |
math_qa__XfPbT8xsTf9OVIx4 | In a house, there are 4 birds, 3 dogs, and 18 cats living with the human family. If the total number of feet in the house are 74 more than the number of heads in the house, how many family members are there? Choices.
A) 1 B) 3 C) 5 D) 7 E) 9 | <gadget id="calculator">18 / 3</gadget>
<output>6</output>
<gadget id="calculator">6 + 1</gadget>
<output>7</output>
<result>D</result> | D | 7 | In a house, there are 4 birds, 3 dogs, and 18 cats living with the human family. If the total number of feet in the house are 74 more than the number of heads in the house, how many family members are there? | {
"A": "1",
"B": "3",
"C": "5",
"D": "7",
"E": "9"
} | add(divide(18, 3), const_1) | divide(n2,n1)|add(#0,const_1) | explanation : let number of family members be x . then , total number of feet = 2 x 4 + 4 x 3 + 4 x 18 + 2 x = 2 x + 92 . total number of heads = 4 + 3 + 18 + x = 25 + x . therefore ( 2 x + 92 ) = ( 25 + x ) + 74 or x = 7 . answer : d | general |
math_qa__E5cAXw57YgLGmbX7 | The H.C.F. of two numbers is 12 and their difference is 12. The numbers are Choose the correct option:
A) 66 , 78 B) 70 , 82 C) 94 , 106 D) 84 , 96 E) none | <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"
} | multiply(12, add(const_3, const_4)) | add(const_3,const_4)|multiply(n0,#0)| | "solution out of the given numbers , the two with h . c . f . 12 and difference 12 are 84 and 96 answer d" | general |
math_qa__9TBFOeZ282JWfmiu | If the length and breadth of a room are increased by y feet each, the perimeter increases by 16 feet. Find y Options.
A) 8 B) 2 C) 6 D) 4 E) 3 | <gadget id="calculator">16 / 4</gadget>
<output>4</output>
<result>D</result> | D | 4 | If the length and breadth of a room are increased by y feet each, the perimeter increases by 16 feet. Find y | {
"A": "8",
"B": "2",
"C": "6",
"D": "4",
"E": "3"
} | divide(16, const_4) | divide(n0,const_4) | 2 ( l + b ) = x ; 2 ( l + y + b + y ) = x + 16 ; 2 ( l + b ) + 4 y = x + 16 ; x + 4 y = x + 16 ; y = 4 answer : d | physics |
math_qa__hW6oH6pPaltVMP05 | Jack and Paul are running 1000m. Jack runs 1.5Km/hr faster than Paul but also finishes the race 1.5 sec earlier. What is the speed of Jack?? Choose the correct choice from the following answers
A) 19.6
B) 20.6
C) 21.6
D) 22.6
E) 23.6 | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">1.5 * (5/18)</gadget>
<output>0.416667</output>
<gadget id="calculator">0.416667 * 100</gadget>
<output>41.6667</output>
<gadget id="calculator">41.6667 / 2</gadget>
<output>20.83335</output>
<gadget id="calculator">0.416667 / 2</gadget>
<output>0.208334</output>
<gadget id="calculator">20.83335 - 0.208334</gadget>
<output>20.625016</output>
<result>B</result> | B | 20.6 | Jack and Paul are running 1000m. Jack runs 1.5Km/hr faster than Paul but also finishes the race 1.5 sec earlier. What is the speed of Jack?? | {
"A": "19.6",
"B": "20.6",
"C": "21.6",
"D": "22.6",
"E": "23.6"
} | subtract(divide(multiply(multiply(1.5, const_0_2778), const_100), const_2), divide(multiply(1.5, const_0_2778), const_2)) | multiply(n1,const_0_2778)|divide(#0,const_2)|multiply(#0,const_100)|divide(#2,const_2)|subtract(#3,#1) | distance ( given ) 1000 m paul speed ( let ) = x m / s time ( paul take ) = 1000 / x sec jack speed = x + 1.5 * ( 5 / 18 ) m / s tym ( jack ) = 1000 / ( x + 7.5 / 18 ) s tym ( paul ) - tym ( jack ) = 1.5 solving for x we get 20.20 speed of jack is 20.20 + 7.5 / 18 = 20.61 answer : b | physics |
math_qa__j2mHXcdaJLTtLr5I | The speed of boat in still water is 20 km/hr. If it travels 26 km downstream and 14 km upstream in same time, what is the speed of the stream? Pick.
A) 6 B) 7 C) 8 D) 9 E) 2 | <gadget id="calculator">20 * 26</gadget>
<output>520</output>
<gadget id="calculator">20 * 14</gadget>
<output>280</output>
<gadget id="calculator">520 - 280</gadget>
<output>240</output>
<gadget id="calculator">26 + 14</gadget>
<output>40</output>
<gadget id="calculator">240 / 40</gadget>
<output>6</output>
<result>A</result> | A | 6 | The speed of boat in still water is 20 km/hr. If it travels 26 km downstream and 14 km upstream in same time, what is the speed of the stream? | {
"A": "6",
"B": "7",
"C": "8",
"D": "9",
"E": "2"
} | divide(subtract(multiply(20, 26), multiply(20, 14)), add(26, 14)) | add(n1,n2)|multiply(n0,n1)|multiply(n0,n2)|subtract(#1,#2)|divide(#3,#0) | explanation : let x be speed of stream speed of boat downstream = ( 20 + x ) speed of boat upstream = ( 20 – x ) it is given that boat takes same time to travel 26 km downstream and 14 km upstream [ 26 / ( 20 + x ) ] = [ 14 / ( 20 – x ) ] 520 – 26 x = 280 + 14 x 40 x = 240 x = 6 km / hr answer : a | physics |
math_qa__FbYZbIzEWSQeDsRO | On my sister's birthday, she was 147 cm in height, having grown 5% since the year before. How tall was she the previous year?
Choose the most appropriate option:
A) 145 cm
B) 140 cm
C) 142 cm
D) 138 cm
E) 135 cm | <gadget id="calculator">147 * 5</gadget>
<output>735</output>
<gadget id="calculator">735 / 100</gadget>
<output>147/20 = around 7.35</output>
<gadget id="calculator">147 - (147/20)</gadget>
<output>2_793/20 = around 139.65</output>
<result>B</result> | B | 140 | On my sister's birthday, she was 147 cm in height, having grown 5% since the year before. How tall was she the previous year? | {
"A": "145 cm",
"B": "140 cm",
"C": "142 cm",
"D": "138 cm",
"E": "135 cm"
} | subtract(147, divide(multiply(147, 5), const_100)) | multiply(n0,n1)|divide(#0,const_100)|subtract(n0,#1)| | "let the previous year ' s height be x . 1.05 x = 147 x = 140 the answer is b ." | physics |
math_qa__WUyeuYmLhGn022Av | If the sum of the 4th term and the 12th term of an arithmetic progression is 10, what is the sum of the first 15 terms of the progression?
Choose the correct choice from the following answers: A) 65 B) 75 C) 60 D) 55 E) 50 | <gadget id="calculator">15 / 2</gadget>
<output>15/2 = around 7.5</output>
<gadget id="calculator">(15/2) * 10</gadget>
<output>75</output>
<result>B</result> | B | 75 | If the sum of the 4th term and the 12th term of an arithmetic progression is 10, what is the sum of the first 15 terms of the progression? | {
"A": "65",
"B": "75",
"C": "60",
"D": "55",
"E": "50"
} | multiply(divide(15, const_2), 10) | divide(n3,const_2)|multiply(n2,#0)| | "4 th term + 12 th term = 10 i . e . , ( a + 3 d ) + ( a + 11 d ) = 10 now , sum of first 15 terms = ( 15 / 2 ) * [ 2 a + ( 15 - 1 ) d ] = ( 15 / 2 ) * [ 2 a + 14 d ] = ( 15 / 2 ) * 10 - - - - - - - - - - - - - - - from ( 1 ) = 75 answer : b" | general |
math_qa__tNoyKDZ4LcgQpiM8 | During a certain season, a team won 65 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played? Choose the correct choice
A) 80 B) 75 C) 56 D) 50 E) 105 | <gadget id="calculator">65 - 70</gadget>
<output>-5</output>
<gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(7/10) - (1/2)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(-5) / (1/5)</gadget>
<output>-25</output>
<gadget id="calculator">100 + (-25)</gadget>
<output>75</output>
<result>B</result> | B | 75 | During a certain season, a team won 65 percent of its first 100 games and 50 percent of its remaining games. If the team won 70 percent of its games for the entire season, what was the total number of games that the team played? | {
"A": "80",
"B": "75",
"C": "56",
"D": "50",
"E": "105"
} | add(100, divide(subtract(65, 70), subtract(divide(70, 100), divide(50, 100)))) | divide(n3,n1)|divide(n2,n1)|subtract(n0,n3)|subtract(#0,#1)|divide(#2,#3)|add(n1,#4)| | "we are first given that a team won 65 percent of its first 100 games . this means the team won 0.65 x 100 = 65 games out of its first 100 games . we are next given that the team won 50 percent of its remaining games . if we use variable t to represent the total number of games in the season , then we can say t – 100 equals the number of remaining games in the season . thus we can say : 0.5 ( t – 100 ) = number of wins for remaining games 0.5 t – 50 = number of wins for remaining games lastly , we are given that team won 70 percent of all games played in the season . that is , they won 0.7 t games in the entire season . with this we can set up the equation : number of first 100 games won + number of games won for remaining games = total number of games won in the entire season 65 + 0.5 t – 50 = 0.7 t 15 = 0.2 t 150 = 2 t 75 = t answer is b ." | gain |
math_qa__ua48929ub1NHIFX4 | The weight of a glass of jar is 25% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar? Choose the correct choice from the following answers: A) 1 / 5 B) 1 / 3 C) 2 / 5 D) 1 / 2 E) 7 / 15 | <gadget id="calculator">60 - 25</gadget>
<output>35</output>
<gadget id="calculator">100 - 25</gadget>
<output>75</output>
<gadget id="calculator">35 / 75</gadget>
<output>7/15 = around 0.466667</output>
<result>E</result> | E | 0.466667 | The weight of a glass of jar is 25% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar? | {
"A": "1 / 5",
"B": "1 / 3",
"C": "2 / 5",
"D": "1 / 2",
"E": "7 / 15"
} | divide(subtract(60, 25), subtract(const_100, 25)) | subtract(n1,n0)|subtract(const_100,n0)|divide(#0,#1)| | "let weight of jar filled with beans = 100 g weight of jar = 25 g weight of coffee beans = 75 g weight of jar and remaining beans = 60 g weight of remaining beans = 35 g fraction remaining = 35 / 75 = 7 / 15 answer is e ." | gain |
math_qa__gBuuCDvMzZh63Ppd | One ton has 2500 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons? Choose the correct choice
A) 2000 B) 1700 C) 2350 D) 2500 E) 8000 | <gadget id="calculator">13 * 2_500</gadget>
<output>32_500</output>
<gadget id="calculator">32_500 * 16</gadget>
<output>520_000</output>
<gadget id="calculator">16 * 16</gadget>
<output>256</output>
<gadget id="calculator">256 + 4</gadget>
<output>260</output>
<gadget id="calculator">520_000 / 260</gadget>
<output>2_000</output>
<result>A</result> | A | 2,000 | One ton has 2500 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons? | {
"A": "2000",
"B": "1700",
"C": "2350",
"D": "2500",
"E": "8000"
} | divide(multiply(multiply(13, 2500), 16), add(multiply(16, 16), 4)) | multiply(n0,n4)|multiply(n1,n1)|add(n3,#1)|multiply(n1,#0)|divide(#3,#2)| | "16 pounds and 4 ounces = 16 * 16 + 4 = 260 ounces . 13 tons = 13 * 2500 pound = 13 * 2500 * 16 ounces . hence the answer is ( 13 * 2500 * 16 ) / 260 = 2000 . answer : a ." | general |
math_qa__NoF2Eg1P1XuaLPmi | In an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were Boys. If 28% of the boys and 32% of the girls passed, then the total percentage of failed candidates is?
Choose the most appropriate option:
A) 35.67 % B) 64.75 % C) 68.57 % D) 70.20 % E) none of these | <gadget id="calculator">100 * 10</gadget>
<output>1_000</output>
<gadget id="calculator">2 * 1_000</gadget>
<output>2_000</output>
<gadget id="calculator">28 / 100</gadget>
<output>7/25 = around 0.28</output>
<gadget id="calculator">2_000 - 900</gadget>
<output>1_100</output>
<gadget id="calculator">(7/25) * 1_100</gadget>
<output>308</output>
<gadget id="calculator">2_000 - 308</gadget>
<output>1_692</output>
<gadget id="calculator">32 / 100</gadget>
<output>8/25 = around 0.32</output>
<gadget id="calculator">(8/25) * 900</gadget>
<output>288</output>
<gadget id="calculator">1_692 - 288</gadget>
<output>1_404</output>
<gadget id="calculator">1_404 / 2_000</gadget>
<output>351/500 = around 0.702</output>
<gadget id="calculator">(351/500) * 100</gadget>
<output>351/5 = around 70.2</output>
<result>D</result> | D | 70.2 | In an examination, there were 2,000 candidates, out of which 900 candidates were girls and rest were Boys. If 28% of the boys and 32% of the girls passed, then the total percentage of failed candidates is? | {
"A": "35.67 %",
"B": "64.75 %",
"C": "68.57 %",
"D": "70.20 %",
"E": "none of these"
} | multiply(divide(subtract(subtract(multiply(const_2, multiply(const_100, const_10)), multiply(divide(28, const_100), subtract(multiply(const_2, multiply(const_100, const_10)), 900))), multiply(divide(32, const_100), 900)), multiply(const_2, multiply(const_100, const_10))), const_100) | divide(n2,const_100)|divide(n3,const_100)|multiply(const_10,const_100)|multiply(#2,const_2)|multiply(n1,#1)|subtract(#3,n1)|multiply(#0,#5)|subtract(#3,#6)|subtract(#7,#4)|divide(#8,#3)|multiply(#9,const_100) | girls = 900 , boys = 1100 passed = ( 28 % of 1100 ) + ( 32 % of 900 ) = 308 + 288 = 596 failed = 2000 - 596 = 1404 failed % = [ ( 1404 / 2000 ) x 100 ] % = 70.2 % . answer : d | general |
math_qa__lSMCmldPY6V6XDGq | An amount of money is to be distributed among Faruk, Vasim and Ranjith in the ratio 3 : 3 : 7. If Vasims share is Rs. 1500, what is the difference between Faruk's and Ranjith's shares? Pick one: A) s 1200 B) s 1500 C) s 1600 D) s 2000 E) s 1700 | <gadget id="calculator">1_500 / 3</gadget>
<output>500</output>
<gadget id="calculator">7 - 3</gadget>
<output>4</output>
<gadget id="calculator">500 * 4</gadget>
<output>2_000</output>
<result>D</result> | D | 2,000 | An amount of money is to be distributed among Faruk, Vasim and Ranjith in the ratio 3 : 3 : 7. If Vasims share is Rs. 1500, what is the difference between Faruk's and Ranjith's shares? | {
"A": "s 1200",
"B": "s 1500",
"C": "s 1600",
"D": "s 2000",
"E": "s 1700"
} | multiply(divide(1500, 3), subtract(7, 3)) | divide(n3,n1)|subtract(n2,n0)|multiply(#0,#1)| | "explanation : let p = faruk , q = vasim , r = ranjith let p = 3 x , q = 3 x and r = 7 x . then , 5 x = 1500 ? x = 500 . p = 1500 , q = 1500 and r = 3500 . hence , ( r - p ) = ( 3500 - 1500 ) = 2000 answer : d" | other |
math_qa__cAZWZkR6DfDt66WV | A,B and C are employed to do apiece of work for Rs.529. A and C are supposed to finish 19/23 of the work together. How much shall be paid to B? Choose the correct answer:
A) 10 B) 11 C) 12 D) 14 E) 16 | <gadget id="calculator">19 / 23</gadget>
<output>19/23 = around 0.826087</output>
<gadget id="calculator">(19/23) * 529</gadget>
<output>437</output>
<gadget id="calculator">529 - 437</gadget>
<output>92</output>
<gadget id="calculator">92 + 4</gadget>
<output>96</output>
<gadget id="calculator">4 + 4</gadget>
<output>8</output>
<gadget id="calculator">96 / 8</gadget>
<output>12</output>
<result>C</result> | C | 12 | A,B and C are employed to do apiece of work for Rs.529. A and C are supposed to finish 19/23 of the work together. How much shall be paid to B? | {
"A": "10",
"B": "11",
"C": "12",
"D": "14",
"E": "16"
} | divide(add(subtract(529, multiply(divide(19, 23), 529)), const_4), add(const_4, const_4)) | add(const_4,const_4)|divide(n1,n2)|multiply(n0,#1)|subtract(n0,#2)|add(#3,const_4)|divide(#4,#0) | c 12 12 men can complete a work in 18 days . six days after they started working , 4 more men joined them . how many days will all of them together complete the remaining work ? | general |
math_qa__LnrjgDRPN5wBUDaG | Calculate how many days it will take for 5 boys to paint a 30 m long fence if 2 boys can paint a 20 m long fence in 3 days, Choose the correct choice from the following options.
A) 6.80 days B) 4.80 days C) 3.80 days D) 2 days E) 1.80 days | <gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">6 * 30</gadget>
<output>180</output>
<gadget id="calculator">20 * 5</gadget>
<output>100</output>
<gadget id="calculator">180 / 100</gadget>
<output>9/5 = around 1.8</output>
<result>E</result> | E | 1.8 | Calculate how many days it will take for 5 boys to paint a 30 m long fence if 2 boys can paint a 20 m long fence in 3 days, | {
"A": "6.80 days",
"B": "4.80 days",
"C": "3.80 days",
"D": "2 days",
"E": "1.80 days"
} | divide(multiply(multiply(2, 3), 30), multiply(20, 5)) | multiply(n2,n4)|multiply(n0,n3)|multiply(n1,#0)|divide(#2,#1)| | "the length of wall painted by one boy in one day = 20 / 2 * 1 / 3 = 3.33 m no . of days required to paint 50 m cloth by 8 boys = 30 / 5 * 1 / 3.33 = 1.80 days . e" | physics |
math_qa__WwBj0CAgzp1jEexr | Find the value of (28 + 48/69) × 69 Pick one:
A) 1980
B) 1982
C) 1930
D) 1988
E) 1680 | <gadget id="calculator">48 / 69</gadget>
<output>16/23 = around 0.695652</output>
<gadget id="calculator">(16/23) + 28</gadget>
<output>660/23 = around 28.695652</output>
<gadget id="calculator">(660/23) * 69</gadget>
<output>1_980</output>
<result>A</result> | A | 1,980 | Find the value of (28 + 48/69) × 69 | {
"A": "1980",
"B": "1982",
"C": "1930",
"D": "1988",
"E": "1680"
} | multiply(add(divide(48, 69), 28), 69) | divide(n1,n2)|add(n0,#0)|multiply(#1,n2)| | "= ( 28 + 48 / 69 ) × 69 = ( 1932 + 48 ) / 69 × 69 = 1980 / 69 × 69 = 1980 answer is a ." | general |
math_qa__reRUCkDUx2Y77yGd | If Jake loses 32 pounds, he will weigh twice as much as his sister. Together they now weigh 212 pounds. What is Jake’s present weight, in pounds?
Answers.
A) 131 B) 135 C) 139 D) 152 E) 188 | <gadget id="calculator">212 - 32</gadget>
<output>180</output>
<gadget id="calculator">180 / 3</gadget>
<output>60</output>
<gadget id="calculator">60 * 2</gadget>
<output>120</output>
<gadget id="calculator">120 + 32</gadget>
<output>152</output>
<result>D</result> | D | 152 | If Jake loses 32 pounds, he will weigh twice as much as his sister. Together they now weigh 212 pounds. What is Jake’s present weight, in pounds? | {
"A": "131",
"B": "135",
"C": "139",
"D": "152",
"E": "188"
} | add(multiply(divide(subtract(212, 32), const_3), const_2), 32) | subtract(n1,n0)|divide(#0,const_3)|multiply(#1,const_2)|add(n0,#2) | lets say j is the weight of jack and s is the wt of his sister . if he loses 32 pounds , he s twice as heavy as his sister . j - 32 = 2 * s also , together they weight 212 pounds j + s = 212 solvong the 2 equation , we get j = 152 pounds ! d | general |
math_qa__klBHQnzKRZPLUJqK | How many cuboids of length 6 m, width 4 m and height 3 m can be farmed from a cuboid of 18 m length, 15 m width and 2 m height. Choose the correct choice from the following answers:
A) 2.6 B) 5.8 C) 6.2 D) 7.5 E) 1.2 | <gadget id="calculator">18 * 15</gadget>
<output>270</output>
<gadget id="calculator">270 * 2</gadget>
<output>540</output>
<gadget id="calculator">6 * 4</gadget>
<output>24</output>
<gadget id="calculator">24 * 3</gadget>
<output>72</output>
<gadget id="calculator">540 / 72</gadget>
<output>15/2 = around 7.5</output>
<result>D</result> | D | 7.5 | How many cuboids of length 6 m, width 4 m and height 3 m can be farmed from a cuboid of 18 m length, 15 m width and 2 m height. | {
"A": "2.6",
"B": "5.8",
"C": "6.2",
"D": "7.5",
"E": "1.2"
} | divide(multiply(multiply(18, 15), 2), multiply(multiply(6, 4), 3)) | multiply(n3,n4)|multiply(n0,n1)|multiply(n5,#0)|multiply(n2,#1)|divide(#2,#3)| | "( 18 ã — 15 ã — 2 ) / ( 6 ã — 4 ã — 3 ) = 7.5 answer is d ." | physics |
math_qa__eRsPEEfvATu5pamP | How many seconds will a train 100 meters long take to cross a bridge 180 meters long if the speed of the train is 36 kmph? Choose the correct choice from the following choices.
A) 26 B) 72 C) 28 D) 82 E) 27 | <gadget id="calculator">180 + 100</gadget>
<output>280</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">36 * (5/18)</gadget>
<output>10</output>
<gadget id="calculator">280 / 10</gadget>
<output>28</output>
<result>C</result> | C | 28 | How many seconds will a train 100 meters long take to cross a bridge 180 meters long if the speed of the train is 36 kmph? | {
"A": "26",
"B": "72",
"C": "28",
"D": "82",
"E": "27"
} | divide(add(180, 100), multiply(36, const_0_2778)) | add(n0,n1)|multiply(n2,const_0_2778)|divide(#0,#1)| | "explanation : d = 100 + 180 = 280 s = 36 * 5 / 18 = 10 mps t = 280 / 10 = 28 sec answer : option c" | physics |
math_qa__s7UmmCD5vyWmYldG | there are 36 students in a certain geometry class . if one third of the students are boys and one fourth of the boys are under 6 feet tall , how many boys in the class are under 6 feet tall ? Choose the most appropriate option.
A) 3 B) 12 C) 18 D) 24 E) 27 | <gadget id="calculator">36 / 3</gadget>
<output>12</output>
<gadget id="calculator">12 / 4</gadget>
<output>3</output>
<result>A</result> | A | 3 | there are 36 students in a certain geometry class . if one third of the students are boys and one fourth of the boys are under 6 feet tall , how many boys in the class are under 6 feet tall ? | {
"A": "3",
"B": "12",
"C": "18",
"D": "24",
"E": "27"
} | divide(divide(36, const_3), const_4) | divide(n0,const_3)|divide(#0,const_4) | total students = 36 one third of the students are boys = 1 / 3 * 36 = 12 one fourth of the boys are under six feet tall = 1 / 4 * 12 = 3 . . . therefore number of boys in the class under six feet tall = 3 . . . answer a . . . . alternatively . . . number of boys in the class under six feet tall = 1 / 4 of 1 / 3 of total students = 1 / 4 * 1 / 3 * 36 = 3 . . . answer a | general |
math_qa__MDkOOfQpBOfMWmbl | Find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 9 cm and 6 cm?
Choose the correct choice from the following answers
A) 225 cm 2 B) 150 cm 2 C) 127 cm 2 D) 177 cm 2 E) 187 cm 2 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">6 + 9</gadget>
<output>15</output>
<gadget id="calculator">(1/2) * 15</gadget>
<output>15/2 = around 7.5</output>
<gadget id="calculator">(15/2) * 30</gadget>
<output>225</output>
<result>A</result> | A | 225 | Find the area of the quadrilateral of one of its diagonals is 30 cm and its off sets 9 cm and 6 cm? | {
"A": "225 cm 2",
"B": "150 cm 2",
"C": "127 cm 2",
"D": "177 cm 2",
"E": "187 cm 2"
} | multiply(multiply(divide(const_1, const_2), add(6, 9)), 30) | add(n1,n2)|divide(const_1,const_2)|multiply(#0,#1)|multiply(n0,#2)| | "1 / 2 * 30 ( 9 + 6 ) = 225 cm 2 answer : a" | geometry |
math_qa__F9RTbSCqoDgp2XEc | A cricketer scored 138 runs which included 12 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets. Select the correct option: A) 46.2 % B) 54.54 % C) 63 % D) 56.52 % E) none of these | <gadget id="calculator">12 * 4</gadget>
<output>48</output>
<gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">2 * 6</gadget>
<output>12</output>
<gadget id="calculator">48 + 12</gadget>
<output>60</output>
<gadget id="calculator">138 - 60</gadget>
<output>78</output>
<gadget id="calculator">78 / 138</gadget>
<output>13/23 = around 0.565217</output>
<gadget id="calculator">(13/23) * 100</gadget>
<output>1_300/23 = around 56.521739</output>
<result>D</result> | D | 56.52 | A cricketer scored 138 runs which included 12 boundaries and 2 sixes. What percent of his total score did he make by running between the wickets. | {
"A": "46.2 %",
"B": "54.54 %",
"C": "63 %",
"D": "56.52 %",
"E": "none of these"
} | multiply(divide(subtract(138, add(multiply(12, const_4), multiply(2, multiply(const_2, const_3)))), 138), const_100) | multiply(n1,const_4)|multiply(const_2,const_3)|multiply(n2,#1)|add(#0,#2)|subtract(n0,#3)|divide(#4,n0)|multiply(#5,const_100) | explanation : number of runs made by running = 138 - ( 12 x 4 + 2 x 6 ) = 138 - ( 60 ) = 78 now , we need to calculate 72 is what percent of 138 . = > 78 / 138 * 100 = 56.52 % answer : d | general |
math_qa__E1ZGLDnJYmmTOO1v | If the height of a triangle is decreased by 40%, land its base is increased by 40%, what will be the effect on its area? Choose the correct choice from the following:
A) no change B) 16 % increase C) 8 % decrease D) 16 % decrease E) none of thes | <gadget id="calculator">100 - 40</gadget>
<output>60</output>
<gadget id="calculator">100 + 40</gadget>
<output>140</output>
<gadget id="calculator">60 * 140</gadget>
<output>8_400</output>
<gadget id="calculator">8_400 / 100</gadget>
<output>84</output>
<gadget id="calculator">100 - 84</gadget>
<output>16</output>
<result>D</result> | D | 16 | If the height of a triangle is decreased by 40%, land its base is increased by 40%, what will be the effect on its area? | {
"A": "no change",
"B": "16 % increase",
"C": "8 % decrease",
"D": "16 % decrease",
"E": "none of thes"
} | subtract(const_100, divide(multiply(subtract(const_100, 40), add(const_100, 40)), const_100)) | add(n0,const_100)|subtract(const_100,n0)|multiply(#0,#1)|divide(#2,const_100)|subtract(const_100,#3) | regd effect = ∣ ∣ 40 − 40 − 40 × 40100 ∣ ∣ % = − 16 % | 40 − 40 − 40 × 40100 | % = − 16 % i . e . , the area will decrease by 16 % answer d | geometry |
math_qa__H0OLHOt7HgrAjANZ | P and Q invested in a shop. The profits were divided in the ratio of 2 : 3 respectively. If P invested Rs. 40,000, the amount invested by Q is: Choose one:
A) 35000 B) 40000 C) 50000 D) 60000 E) none | <gadget id="calculator">40_000 / 2</gadget>
<output>20_000</output>
<gadget id="calculator">20_000 * 3</gadget>
<output>60_000</output>
<result>D</result> | D | 60,000 | P and Q invested in a shop. The profits were divided in the ratio of 2 : 3 respectively. If P invested Rs. 40,000, the amount invested by Q is: | {
"A": "35000",
"B": "40000",
"C": "50000",
"D": "60000",
"E": "none"
} | multiply(divide(40,000, 2), 3) | divide(n2,n0)|multiply(n1,#0)| | "suppose q invested rs . y . then , 40000 / y = 2 / 3 or y = [ 40000 x 3 / 2 ] = 60000 . answer d" | gain |
math_qa__7T50dC9I8wDGAOf2 | If taxi fares were $8.00 for the first 1/5 mile and $0.8 for each 1/5 mile there after, then the taxi fare for a 8-mile ride was Pick one:
A) $ 39.00
B) $ 39.10
C) $ 39.25
D) $ 39.30
E) $ 39.20 | <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 * 0.8</gadget>
<output>31.2</output>
<gadget id="calculator">8 + 31.2</gadget>
<output>39.2</output>
<result>E</result> | E | 39.2 | If taxi fares were $8.00 for the first 1/5 mile and $0.8 for each 1/5 mile there after, then the taxi fare for a 8-mile ride was | {
"A": "$ 39.00",
"B": "$ 39.10",
"C": "$ 39.25",
"D": "$ 39.30",
"E": "$ 39.20"
} | add(8, multiply(subtract(divide(8, divide(1, 5)), const_1), 0.8)) | divide(n1,n2)|divide(n0,#0)|subtract(#1,const_1)|multiply(n3,#2)|add(n0,#3) | in 8 miles , initial 1 / 5 mile charge is $ 8 rest of the distance = 8 - ( 1 / 5 ) = 39 / 5 rest of the distance charge = 39 ( 0.8 ) = $ 31.2 ( as the charge is 0.8 for every 1 / 5 mile ) = > total charge for 4 miles = 8 + 31.2 = 39.2 answer is e | general |
math_qa__O17rljxpIQhNyEAU | With both valves open, the pool will be filled with water in 48 minutes. The first valve alone would fill the pool in 2 hours. If the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity Q of the pool?
Choose the correct choice from the following answers.
A) 9000 cubic meters
B) 10500 cubic meters
C) 11750 cubic meters
D) 12000 cubic meters
E) 12500 cubic meters | <gadget id="calculator">48 / 60</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">(4/5) * 5</gadget>
<output>4</output>
<gadget id="calculator">60 * 4</gadget>
<output>240</output>
<gadget id="calculator">50 * 240</gadget>
<output>12_000</output>
<result>D</result> | D | 12,000 | With both valves open, the pool will be filled with water in 48 minutes. The first valve alone would fill the pool in 2 hours. If the second valve emits 50 cubic meters of water more than the first every minute, then what is the capacity Q of the pool? | {
"A": "9000 cubic meters",
"B": "10500 cubic meters",
"C": "11750 cubic meters",
"D": "12000 cubic meters",
"E": "12500 cubic meters"
} | multiply(50, multiply(const_60, multiply(divide(48, const_60), add(const_4, const_1)))) | add(const_1,const_4)|divide(n0,const_60)|multiply(#0,#1)|multiply(#2,const_60)|multiply(n2,#3)| | "d . 12000 cubic meters . if both hte valves fill the pool in 48 minutes and valve 1 only fills in 120 minutes then valve 2 alone will fill the pool in ( 48 * 120 ) / ( 120 - 48 ) = 80 minutes . now , if valve 1 admits x cubic meter of water per minute then the capacity of pool will be 120 x and also 80 ( x + 50 ) . or , 120 x = 80 ( x + 50 ) . or x = 100 . hence , the capacity of pool = 120 x = 12000 cubic meters ." | physics |
math_qa__y3tSRXpy96Mhwkya | How many diagonals does a 63-sided convex polygon have?
Choices.
A) 1890
B) 1953
C) 3780
D) 3843
E) 3906 | <gadget id="calculator">factorial(63)</gadget>
<output>1_982_608_315_404_440_064_116_146_708_361_898_137_544_773_690_227_268_628_106_279_599_612_729_753_600_000_000_000_000</output>
<gadget id="calculator">63 - 2</gadget>
<output>61</output>
<gadget id="calculator">factorial(61)</gadget>
<output>507_580_213_877_224_798_800_856_812_176_625_227_226_004_528_988_036_003_099_405_939_480_985_600_000_000_000_000</output>
<gadget id="calculator">factorial(2)</gadget>
<output>2</output>
<gadget id="calculator">507_580_213_877_224_798_800_856_812_176_625_227_226_004_528_988_036_003_099_405_939_480_985_600_000_000_000_000 * 2</gadget>
<output>1_015_160_427_754_449_597_601_713_624_353_250_454_452_009_057_976_072_006_198_811_878_961_971_200_000_000_000_000</output>
<gadget id="calculator">1_982_608_315_404_440_064_116_146_708_361_898_137_544_773_690_227_268_628_106_279_599_612_729_753_600_000_000_000_000 / 1_015_160_427_754_449_597_601_713_624_353_250_454_452_009_057_976_072_006_198_811_878_961_971_200_000_000_000_000</gadget>
<output>1_953</output>
<result>A</result> | A | 1,890 | How many diagonals does a 63-sided convex polygon have? | {
"A": "1890",
"B": "1953",
"C": "3780",
"D": "3843",
"E": "3906"
} | divide(factorial(63), multiply(factorial(subtract(63, const_2)), factorial(const_2))) | factorial(n0)|factorial(const_2)|subtract(n0,const_2)|factorial(#2)|multiply(#3,#1)|divide(#0,#4)| | "a 63 - sided convex polygon has 63 vertices . if we examine a single vertex , we can see that we can connect it with 60 other vertices to create a diagonal . note : there are 60 options because we ca n ' t connect the vertex to itself , and we ca n ' t connect it to its adjacent vertices , since this would not create a diagonal . if each of the 63 vertices can be connected with 60 vertices to create a diagonal then . . . . . . the total number of diagonals = ( 63 ) ( 60 ) = 3780 however , before we select answer choice c , we must recognize that we have counted every diagonal twice . for example , we might connect vertex a with vertex f and count that as 1 diagonal , and at the same time we connect vertex f with vertex a and count that as 1 diagonal . of course these diagonals are the same . to account for counting each diagonal twice , we must divide 3780 by 2 to get : 1890 answer : a" | general |
math_qa__6tkS37GxfFxjeKgN | in a graduating class , the difference between the highest and lowest salaries is $ 100000 . the median salary is $ 50000 higher than the lowest salary and the average salary is $ 20000 higher than the median . what is the minimum number of students t in the class ? Choose the most appropriate option
A) 10 B) 12 C) 15 D) 20 E) 25 | <gadget id="calculator">50_000 + 20_000</gadget>
<output>70_000</output>
<gadget id="calculator">100_000 - 70_000</gadget>
<output>30_000</output>
<gadget id="calculator">30_000 - 20_000</gadget>
<output>10_000</output>
<gadget id="calculator">70_000 / 10_000</gadget>
<output>7</output>
<gadget id="calculator">7 * 2</gadget>
<output>14</output>
<gadget id="calculator">14 + 1</gadget>
<output>15</output>
<result>C</result> | C | 15 | in a graduating class , the difference between the highest and lowest salaries is $ 100000 . the median salary is $ 50000 higher than the lowest salary and the average salary is $ 20000 higher than the median . what is the minimum number of students t in the class ? | {
"A": "10",
"B": "12",
"C": "15",
"D": "20",
"E": "25"
} | add(multiply(divide(add(50000, 20000), subtract(subtract(100000, add(50000, 20000)), 20000)), const_2), const_1) | add(n1,n2)|subtract(n0,#0)|subtract(#1,n2)|divide(#0,#2)|multiply(#3,const_2)|add(#4,const_1) | the difference between the highest and lowest salaries is $ 100000 . so there are at least 2 people - say one with salary 0 and the other with 100 k . no salary will be outside this range . median = 50 k more than lowest . so median is right in the center of lowest and highest since lowest and highest differ by 100 k . in our example , median = 50 k . since there are more than 2 people , there would probably be a person at 50 k . mean = 20 k more than median so in our example , mean salary = 70 k on the number line , 0 . . . . . . . . 50 k ( median ) . . . . . . . . 100 k mean = 70 k so there must be people more toward 100 k to bring the mean up to 70 k . since we want to add minimum people , we will add people at 100 k to quickly make up the right side deficit . 0 and 50 k are ( 70 k + 20 k ) = 90 k away from 70 k . 100 k is 30 k away from 70 k . to bring the mean to 70 k , we will add two people at 100 k each to get : 0 . . . . 50 k . . . . . 100 k , 100 k , 100 k but when we add more people to the right of 70 k , the median will shift to the right . we need to keep the median at 50 k . so every time we add people to the right of 70 k , we need to add people at 50 k too to balance the median . 50 k is 20 k less than 70 k while 100 k is 30 k more than 70 k . to keep the mean same , we need to add 2 people at 100 k for every 3 people we add at 50 k . so if we add 3 people at 50 k and 2 people at 100 k , we get : 0 , . . . 50 k , 50 k , 50 k , 50 k , . . . 100 k , 100 k , 100 k , 100 k , 100 k the median is not at 50 k yet . add another 3 people at 50 k and another 2 at 100 k to get 0 , 50 k , 50 k , 50 k , 50 k , 50 k , 50 k , 50 k , 100 k , 100 k , 100 k , 100 k , 100 k , 100 k , 100 k now the median is 50 k and mean is 70 k . total number of people is 15 . answer ( c ) | general |
math_qa__aSMglHd8MOi69Jgl | How long does a train 100 m long traveling at 72 kmph takes to cross a tunnel of 1400 m in length?
Answers
A) 70 sec B) 60 sec C) 82 sec D) 75 sec E) 62 sec | <gadget id="calculator">100 + 1_400</gadget>
<output>1_500</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">72 * (5/18)</gadget>
<output>20</output>
<gadget id="calculator">1_500 / 20</gadget>
<output>75</output>
<result>D</result> | D | 75 | How long does a train 100 m long traveling at 72 kmph takes to cross a tunnel of 1400 m in length? | {
"A": "70 sec",
"B": "60 sec",
"C": "82 sec",
"D": "75 sec",
"E": "62 sec"
} | divide(add(100, 1400), multiply(72, const_0_2778)) | add(n0,n2)|multiply(n1,const_0_2778)|divide(#0,#1) | d = 1400 + 100 = 1500 m s = 72 * 5 / 18 = 20 t = 1500 * 1 / 20 = 75 sec answer : d | physics |
math_qa__3ddUqL8iyrPsZrZ0 | A person walks from one end to the other of a 60-meter long moving walkway at a constant rate in 30 seconds, assisted by the walkway. When this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other? Choose the correct choice from the following answers
A) 48 B) 60 C) 72 D) 84 E) 96 | <gadget id="calculator">60 / 30</gadget>
<output>2</output>
<gadget id="calculator">60 / 120</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 + (1/2)</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">(5/2) / 2</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">60 / (5/4)</gadget>
<output>48</output>
<result>A</result> | A | 48 | A person walks from one end to the other of a 60-meter long moving walkway at a constant rate in 30 seconds, assisted by the walkway. When this person reaches the end, they reverse direction and continue walking with the same speed, but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take this person to walk from one end of the walkway to the other? | {
"A": "48",
"B": "60",
"C": "72",
"D": "84",
"E": "96"
} | divide(60, divide(add(divide(60, 30), divide(60, 120)), const_2)) | divide(n0,n1)|divide(n0,n2)|add(#0,#1)|divide(#2,const_2)|divide(n0,#3)| | "let v be the speed of the person and let x be the speed of the walkway . 30 ( v + x ) = 60 then 120 ( v + x ) = 240 120 ( v - x ) = 60 when we add the two equations : 240 v = 300 v = 5 / 4 time = 60 / ( 5 / 4 ) = 48 seconds the answer is a ." | physics |
math_qa__flLoP7LKKmRxGylx | Mike took a taxi to the airport and paid $2.50 to start plus $0.25 per mile. Annie took a different route to the airport and paid $2.50 plus $5.00 in bridge toll fees plus $0.25 per mile. If each was charged exactly the same amount, and Annie's ride was 22 miles, how many miles was Mike's ride?
Options.
A) 30 B) 36 C) 42 D) 48 E) 54 | <gadget id="calculator">2.5 + 5</gadget>
<output>7.5</output>
<gadget id="calculator">0.25 * 22</gadget>
<output>5.5</output>
<gadget id="calculator">7.5 + 5.5</gadget>
<output>13</output>
<gadget id="calculator">13 - 2.5</gadget>
<output>10.5</output>
<gadget id="calculator">10.5 / 0.25</gadget>
<output>42</output>
<result>C</result> | C | 42 | Mike took a taxi to the airport and paid $2.50 to start plus $0.25 per mile. Annie took a different route to the airport and paid $2.50 plus $5.00 in bridge toll fees plus $0.25 per mile. If each was charged exactly the same amount, and Annie's ride was 22 miles, how many miles was Mike's ride? | {
"A": "30",
"B": "36",
"C": "42",
"D": "48",
"E": "54"
} | divide(subtract(add(add(2.50, 5.00), multiply(0.25, 22)), 2.50), 0.25) | add(n0,n3)|multiply(n1,n5)|add(#0,#1)|subtract(#2,n0)|divide(#3,n1)| | "the cost of annie ' s ride was 2.5 + 5 + ( 0.25 * 22 ) = $ 13 let x be the distance of mike ' s ride . the cost of mike ' s ride is 2.5 + ( 0.25 * x ) = 13 0.25 * x = 10.5 x = 42 miles the answer is c ." | general |
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