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__kqbUAgpwX01d6Pkp | If Rs. 578 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?
Options.
A) s . 300 B) s . 408 C) s . 389 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">578 / (17/12)</gadget>
<output>408</output>
<result>B</result> | B | 408 | If Rs. 578 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 . 408",
"C": "s . 389",
"D": "s . 368",
"E": "s . 323"
} | divide(578, 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 = 578 * 2 / 17 = rs . 68 b ' s share = 578 * 3 / 17 = rs . 102 c ' s share = 578 * 12 / 17 = rs . 408 . answer : b" | general |
math_qa__KivuAghz38LKYA5w | The ratio between the number of sheep and the number of horses at the Stewar farm is 6 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form??
Pick one.
A) 18
B) 28
C) 32
D) 48
E) 58 | <gadget id="calculator">12_880 / 230</gadget>
<output>56</output>
<gadget id="calculator">56 / 7</gadget>
<output>8</output>
<gadget id="calculator">8 * 6</gadget>
<output>48</output>
<result>D</result> | D | 48 | The ratio between the number of sheep and the number of horses at the Stewar farm is 6 to 7. If each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day. what is number sheep in the form?? | {
"A": "18",
"B": "28",
"C": "32",
"D": "48",
"E": "58"
} | multiply(divide(divide(12880, 230), 7), 6) | divide(n3,n2)|divide(#0,n1)|multiply(n0,#1)| | "et no of sheep and horses are 6 k and 7 k no of horses = 12880 / 230 = 56 now 7 k = 56 and k = 8 no of sheep = ( 6 * 8 ) = 48 answer : d" | other |
math_qa__HWqCXe3zlPUB1C8w | A man swims downstream 40 km and upstream 56 km taking 8 hours each time, what is the speed of the man in still water?
Select the correct option: A) 6 B) 24 C) 8 D) 12 E) 44 | <gadget id="calculator">56 / 8</gadget>
<output>7</output>
<gadget id="calculator">40 / 8</gadget>
<output>5</output>
<gadget id="calculator">7 + 5</gadget>
<output>12</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<result>A</result> | A | 6 | A man swims downstream 40 km and upstream 56 km taking 8 hours each time, what is the speed of the man in still water? | {
"A": "6",
"B": "24",
"C": "8",
"D": "12",
"E": "44"
} | divide(add(divide(56, 8), divide(40, 8)), const_2) | divide(n1,n2)|divide(n0,n2)|add(#0,#1)|divide(#2,const_2)| | "40 - - - 8 ds = 5 ? - - - - 1 56 - - - - 8 us = 7 ? - - - - 1 m = ? m = ( 5 + 7 ) / 2 = 6 answer : a" | physics |
math_qa__KGtUihgCA82dFjAR | 4/6 of the population of the country of Venezia lives in Montague Province, while the rest lives in Capulet Province. In the upcoming election, 80% of Montague residents support Romeo, while 70% of Capulet residents support Juliet; each resident of Venezia supports exactly one of these two candidates. Rounded if necessary to the nearest percent, the probability that a Juliet supporter chosen at random resides in Capulet is Pick
A) 28 % B) 41 % C) 45 % D) 64 % E) 78 % | <gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">6 - 4</gadget>
<output>2</output>
<gadget id="calculator">2 / 6</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(7/10) * (1/3)</gadget>
<output>7/30 = around 0.233333</output>
<gadget id="calculator">100 - 80</gadget>
<output>20</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">4 / 6</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(1/5) * (2/3)</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">(2/15) + (7/30)</gadget>
<output>11/30 = around 0.366667</output>
<gadget id="calculator">(7/30) / (11/30)</gadget>
<output>7/11 = around 0.636364</output>
<gadget id="calculator">(7/11) * 100</gadget>
<output>700/11 = around 63.636364</output>
<result>D</result> | D | 64 | 4/6 of the population of the country of Venezia lives in Montague Province, while the rest lives in Capulet Province. In the upcoming election, 80% of Montague residents support Romeo, while 70% of Capulet residents support Juliet; each resident of Venezia supports exactly one of these two candidates. Rounded if necessary to the nearest percent, the probability that a Juliet supporter chosen at random resides in Capulet is | {
"A": "28 %",
"B": "41 %",
"C": "45 %",
"D": "64 %",
"E": "78 %"
} | multiply(divide(multiply(divide(70, const_100), divide(subtract(6, 4), 6)), add(multiply(divide(subtract(const_100, 80), const_100), divide(4, 6)), multiply(divide(70, const_100), divide(subtract(6, 4), 6)))), const_100) | divide(n3,const_100)|divide(n0,n1)|subtract(n1,n0)|subtract(const_100,n2)|divide(#2,n1)|divide(#3,const_100)|multiply(#0,#4)|multiply(#5,#1)|add(#7,#6)|divide(#6,#8)|multiply(#9,const_100)| | "total population = 60 ( assume ) . 4 / 6 * 60 = 40 people from montague . 2 / 6 * 60 = 20 people from capulet . 0.2 * 40 = 8 people from montague support juliet . 0.7 * 20 = 14 people from capulet support juliet . the probability that a juliet supporter chosen at random resides in capulet is 14 / ( 8 + 14 ) = ~ 64 . answer : d" | gain |
math_qa__Byw321AxoB3jbu0X | Alfred buys an old scooter for $4400 and spends $800 on its repairs. If he sells the scooter for $5800, his gain percent is? Choose the correct choice from the following answers.
A) 5.45 % B) 6.23 % C) 7 % D) 8.12 % E) 11.5 % | <gadget id="calculator">4_400 + 800</gadget>
<output>5_200</output>
<gadget id="calculator">5_800 - 5_200</gadget>
<output>600</output>
<gadget id="calculator">600 / 5_200</gadget>
<output>3/26 = around 0.115385</output>
<gadget id="calculator">(3/26) * 100</gadget>
<output>150/13 = around 11.538462</output>
<result>E</result> | E | 11.5 | Alfred buys an old scooter for $4400 and spends $800 on its repairs. If he sells the scooter for $5800, his gain percent is? | {
"A": "5.45 %",
"B": "6.23 %",
"C": "7 %",
"D": "8.12 %",
"E": "11.5 %"
} | multiply(divide(subtract(5800, add(4400, 800)), add(4400, 800)), const_100) | add(n0,n1)|subtract(n2,#0)|divide(#1,#0)|multiply(#2,const_100)| | "c . p . = 4400 + 800 = $ 5200 s . p . = $ 5800 gain = 5800 - 5200 = $ 600 gain % = 600 / 5200 * 100 = 11.5 % answer is e" | gain |
math_qa__i2B1bj8e3o7FyvMl | A 1100 m long train crosses a tree in 110 sec, how much time will It take to pass a platform 700 m long? Choose the correct choice from the following: A) 288 B) 190 C) 188 D) 180 E) 12 | <gadget id="calculator">1_100 + 700</gadget>
<output>1_800</output>
<gadget id="calculator">1_100 / 110</gadget>
<output>10</output>
<gadget id="calculator">1_800 / 10</gadget>
<output>180</output>
<result>D</result> | D | 180 | A 1100 m long train crosses a tree in 110 sec, how much time will It take to pass a platform 700 m long? | {
"A": "288",
"B": "190",
"C": "188",
"D": "180",
"E": "12"
} | divide(add(1100, 700), divide(1100, 110)) | add(n0,n2)|divide(n0,n1)|divide(#0,#1) | l = s * t s = 1100 / 110 s = 10 m / sec . total length ( d ) = 1800 m t = d / s t = 1800 / 10 t = 180 sec answer : d | physics |
math_qa__cQRaYqb0xsl3dwsd | The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.8 kg. The weight of the new student is Choose the correct choice from the following choices.
A) 22 kg B) 21.6 kg C) 22.4 kg D) 21 kg E) 23 kg | <gadget id="calculator">29 + 1</gadget>
<output>30</output>
<gadget id="calculator">30 * 27.8</gadget>
<output>834</output>
<gadget id="calculator">29 * 28</gadget>
<output>812</output>
<gadget id="calculator">834 - 812</gadget>
<output>22</output>
<result>A</result> | A | 22 | The average weight of 29 students is 28 kg. By the admission of a new student, the average weight is reduced to 27.8 kg. The weight of the new student is | {
"A": "22 kg",
"B": "21.6 kg",
"C": "22.4 kg",
"D": "21 kg",
"E": "23 kg"
} | subtract(multiply(add(29, const_1), 27.8), multiply(29, 28)) | add(n0,const_1)|multiply(n0,n1)|multiply(n2,#0)|subtract(#2,#1)| | "the total weight of 29 students = 29 * 28 the total weight of 30 students = 30 * 27.8 weight of the new student = ( 30 * 27.8 – 29 * 28 ) = 834 - 812 = 22 answer : a" | general |
math_qa__VGP8z4HMPSv11Jq9 | In the quadratic equation ax2 - x - 12 = 0, if the sum of two roots is 1, what is the product of the two roots? Choose the correct choice from the following choices: A) - 12 B) - 6 C) 12 D) 6 E) 24 | <gadget id="calculator">12 / 3</gadget>
<output>4</output>
<gadget id="calculator">12 / 4</gadget>
<output>3</output>
<gadget id="calculator">-3</gadget>
<output>-3</output>
<gadget id="calculator">4 * (-3)</gadget>
<output>-12</output>
<result>A</result> | A | -12 | In the quadratic equation ax2 - x - 12 = 0, if the sum of two roots is 1, what is the product of the two roots? | {
"A": "- 12",
"B": "- 6",
"C": "12",
"D": "6",
"E": "24"
} | multiply(divide(12, const_3), negate(divide(12, const_4))) | divide(n1,const_3)|divide(n1,const_4)|negate(#1)|multiply(#0,#2) | explanation : the sum of the roots of the quadratic equation ax 2 + bx + c = 0 are ( - b / a ) and the product of the roots are ( c / a ) . thus , in the equation ax 2 - 11 x + 40 = 0 , where a = a , b = - 1 and c = - 12 . we get , sum of the roots = 1 / a = 1 a = 1 product of the roots = - 12 / 1 = - 12 answer : a | general |
math_qa__sgdr8AryKyTwXZZ0 | A book is bought for $60 and sold for $63. What is the profit in percentage?
Choose the correct choice from the following options:
A) 3
B) 5
C) 7
D) 9
E) 11 | <gadget id="calculator">63 - 60</gadget>
<output>3</output>
<gadget id="calculator">3 / 60</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) * 100</gadget>
<output>5</output>
<result>B</result> | B | 5 | A book is bought for $60 and sold for $63. What is the profit in percentage? | {
"A": "3",
"B": "5",
"C": "7",
"D": "9",
"E": "11"
} | multiply(divide(subtract(63, 60), 60), const_100) | subtract(n1,n0)|divide(#0,n0)|multiply(#1,const_100)| | "63 / 60 = 1.05 the answer is b ." | gain |
math_qa__pwfheUF63chl7aYK | In the Science City, Kolkata the rate of the ticket is increased by 50% to increased the revenue but simultaneously 20% of the visitor decreased. What is percentage change in the revenue. if it is known that the Science city collects one revenue only from the visitors and it has no other financial supports: Choose the correct choice from the following options
A) + 20 % B) - 25 % C) + 305 D) - 30 % E) can not determined | <gadget id="calculator">100 + 50</gadget>
<output>150</output>
<gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">150 * 80</gadget>
<output>12_000</output>
<gadget id="calculator">100 * 100</gadget>
<output>10_000</output>
<gadget id="calculator">12_000 - 10_000</gadget>
<output>2_000</output>
<gadget id="calculator">2_000 / 100</gadget>
<output>20</output>
<result>A</result> | A | 20 | In the Science City, Kolkata the rate of the ticket is increased by 50% to increased the revenue but simultaneously 20% of the visitor decreased. What is percentage change in the revenue. if it is known that the Science city collects one revenue only from the visitors and it has no other financial supports: | {
"A": "+ 20 %",
"B": "- 25 %",
"C": "+ 305",
"D": "- 30 %",
"E": "can not determined"
} | divide(subtract(multiply(add(const_100, 50), subtract(const_100, 20)), multiply(const_100, const_100)), const_100) | add(n0,const_100)|multiply(const_100,const_100)|subtract(const_100,n1)|multiply(#0,#2)|subtract(#3,#1)|divide(#4,const_100) | solution : let the initial revenue be 100 . 100 - - - - - 50 % ↑ ( ticket up ) - - - - - > 150 - - - - - 20 % ↓ ( visitors down ) - - - - - > 120 . there is 20 % increase in the revenue . answer : option a | gain |
math_qa__FrLRRQZQzy23zzoQ | How many zeros does 500! end with? Choose the correct answer.
A) 201 B) 240 C) 124 D) 125 E) 180 | <gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">500 / 5</gadget>
<output>100</output>
<gadget id="calculator">500 - 5</gadget>
<output>495</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">495 / 25</gadget>
<output>99/5 = around 19.8</output>
<gadget id="calculator">100 + (99/5)</gadget>
<output>599/5 = around 119.8</output>
<gadget id="calculator">5 ** 3</gadget>
<output>125</output>
<gadget id="calculator">495 / 125</gadget>
<output>99/25 = around 3.96</output>
<gadget id="calculator">(599/5) + (99/25)</gadget>
<output>3_094/25 = around 123.76</output>
<result>C</result> | C | 124 | How many zeros does 500! end with? | {
"A": "201",
"B": "240",
"C": "124",
"D": "125",
"E": "180"
} | add(add(divide(500, add(const_4, const_1)), divide(subtract(500, add(const_4, const_1)), power(add(const_4, const_1), const_2))), divide(subtract(500, add(const_4, const_1)), power(add(const_4, const_1), const_3))) | add(const_1,const_4)|divide(n0,#0)|power(#0,const_2)|power(#0,const_3)|subtract(n0,#0)|divide(#4,#2)|divide(#4,#3)|add(#1,#5)|add(#7,#6)| | "according to above 500 ! has 500 / 5 + 500 / 25 + 500 / 125 = 100 + 20 + 4 = 124 trailing zeros . answer : c ." | other |
math_qa__LklHaS9Wmm3mn9ZH | John makes $50 a week from his job. He earns a raise and now makes $80 a week. What is the % increase? Choose the correct choice
A) 16 % B) 16.66 % C) 17.9 % D) 18.12 % E) 60 % | <gadget id="calculator">80 - 50</gadget>
<output>30</output>
<gadget id="calculator">30 / 50</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) * 100</gadget>
<output>60</output>
<result>E</result> | E | 60 | John makes $50 a week from his job. He earns a raise and now makes $80 a week. What is the % increase? | {
"A": "16 %",
"B": "16.66 %",
"C": "17.9 %",
"D": "18.12 %",
"E": "60 %"
} | multiply(divide(subtract(80, 50), 50), const_100) | subtract(n1,n0)|divide(#0,n0)|multiply(#1,const_100)| | "increase = ( 30 / 50 ) * 100 = ( 3 / 5 ) * 100 = 60 % . e" | gain |
math_qa__ZPYbv8EtkRmYfPfd | A pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer’s suggested retail price. If during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer’s suggested retail price o f $ 45.00? Select the correct option
A) $ 10.00 B) $ 11.20 C) $ 14.40 D) $ 25.20 E) $ 18.00 | <gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">100 - 30</gadget>
<output>70</output>
<gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">(7/10) * 45</gadget>
<output>63/2 = around 31.5</output>
<gadget id="calculator">(4/5) * (63/2)</gadget>
<output>126/5 = around 25.2</output>
<result>D</result> | D | 25.2 | A pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer’s suggested retail price. If during a sale, the store discounts an additional 20 percent from the discount price, what would be the lowest possible price of a container of pet food that had a manufacturer’s suggested retail price o f $ 45.00? | {
"A": "$ 10.00",
"B": "$ 11.20",
"C": "$ 14.40",
"D": "$ 25.20",
"E": "$ 18.00"
} | multiply(divide(subtract(const_100, 20), const_100), multiply(divide(subtract(const_100, 30), const_100), 45.00)) | subtract(const_100,n2)|subtract(const_100,n1)|divide(#0,const_100)|divide(#1,const_100)|multiply(n3,#3)|multiply(#2,#4)| | "for retail price = $ 45 first maximum discounted price = 45 - 30 % of 45 = 45 - 13.5 = 31.5 price after additional discount of 20 % = 31.5 - 20 % of 31.5 = 31.5 - 6.3 = 25.2 answer : option d" | gain |
math_qa__geKXN1B0u1F8VO7G | In a group of 150 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20?
Answers
A) 0.4 B) 0.5 C) 0.65 D) 0.75 E) 0.85 | <gadget id="calculator">150 - 90</gadget>
<output>60</output>
<gadget id="calculator">60 / 150</gadget>
<output>2/5 = around 0.4</output>
<result>A</result> | A | 0.4 | In a group of 150 people, 90 have an age of more 30 years, and the others have an age of less than 20 years. If a person is selected at random from this group, what is the probability the person's age is less than 20? | {
"A": "0.4",
"B": "0.5",
"C": "0.65",
"D": "0.75",
"E": "0.85"
} | divide(subtract(150, 90), 150) | subtract(n0,n1)|divide(#0,n0)| | "number of people whose age is less than 20 is given by 150 - 90 = 60 probability p that a person selected at random from the group is less than 20 is given by 60 / 150 = 0.4 correct answer a" | general |
math_qa__qGFhvF7f5km1Wnsv | The sum of the first 50 positive even integers is 2550. What is the sum of the even integers from 202 to 300 inclusive? Choose the correct choice from the following options
A) 5,150 B) 7,550 C) 10,150 D) 12,550 E) 20,150 | <gadget id="calculator">300 + 202</gadget>
<output>502</output>
<gadget id="calculator">502 / 2</gadget>
<output>251</output>
<gadget id="calculator">300 - 202</gadget>
<output>98</output>
<gadget id="calculator">98 / 2</gadget>
<output>49</output>
<gadget id="calculator">49 + 1</gadget>
<output>50</output>
<gadget id="calculator">251 * 50</gadget>
<output>12_550</output>
<result>D</result> | D | 12,550 | The sum of the first 50 positive even integers is 2550. What is the sum of the even integers from 202 to 300 inclusive? | {
"A": "5,150",
"B": "7,550",
"C": "10,150",
"D": "12,550",
"E": "20,150"
} | multiply(divide(add(300, 202), const_2), add(divide(subtract(300, 202), const_2), const_1)) | add(n2,n3)|subtract(n3,n2)|divide(#1,const_2)|divide(#0,const_2)|add(#2,const_1)|multiply(#4,#3)| | "2 + 4 + 6 + 8 + . . . + 100 = 2550 202 + 204 + . . . + 300 = 50 ( 200 ) + ( 2 + 4 + . . . + 100 ) = 10,000 + 2550 = 12,550 the answer is d ." | general |
math_qa__FHKYwkcEA1IlRPdd | The average weight of 8 person's increases by 3 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person? Choose one.
A) 60 kg
B) 70 kg
C) 80 kg
D) 89 kg
E) 95 kg | <gadget id="calculator">8 * 3</gadget>
<output>24</output>
<gadget id="calculator">24 + 65</gadget>
<output>89</output>
<result>D</result> | D | 89 | The average weight of 8 person's increases by 3 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person? | {
"A": "60 kg",
"B": "70 kg",
"C": "80 kg",
"D": "89 kg",
"E": "95 kg"
} | add(multiply(8, 3), 65) | multiply(n0,n1)|add(n2,#0)| | "total weight increased = ( 8 x 3 ) kg = 24 kg . weight of new person = ( 65 + 24 ) kg = 89 kg . d )" | general |
math_qa__C69NUzUKoOKGQQLX | A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 15% impurities to the product. Find the net profit percentage of the dealer? Choose the most appropriate option:
A) 46.85 % B) 43.75 % C) 50 % D) 56.25 % E) 36 % | <gadget id="calculator">100 + 15</gadget>
<output>115</output>
<gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">115 / 80</gadget>
<output>23/16 = around 1.4375</output>
<gadget id="calculator">(23/16) - 1</gadget>
<output>7/16 = around 0.4375</output>
<gadget id="calculator">(7/16) * 100</gadget>
<output>175/4 = around 43.75</output>
<result>B</result> | B | 43.75 | A dishonest dealer claims to sell a product at its cost price. He uses a counterfeit weight which is 20% less than the real weight. Further greed overtook him and he added 15% impurities to the product. Find the net profit percentage of the dealer? | {
"A": "46.85 %",
"B": "43.75 %",
"C": "50 %",
"D": "56.25 %",
"E": "36 %"
} | multiply(subtract(divide(add(const_100, 15), subtract(const_100, 20)), const_1), const_100) | add(n1,const_100)|subtract(const_100,n0)|divide(#0,#1)|subtract(#2,const_1)|multiply(#3,const_100) | the dealer uses weight which is 20 % less than the real weight . or ( 1 - 1 / 5 ) or 4 / 5 of real weight . it means that he is selling $ 4 worth of product for $ 5 . the dealer then further added 20 % impurities to the product . it means that he is selling $ 5 worth of product for $ 5.75 . so his profit is $ 5.75 - $ 4 = $ 1.75 and his profit percent is ( 1.75 / 4 ) * 100 = 43.75 % answer : - b | general |
math_qa__HdFNrYQhFbKkyUau | If it is assumed that 65 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed?
Choose the correct answer:
A) 400
B) 420
C) 461.5
D) 500
E) 600 | <gadget id="calculator">65 / 100</gadget>
<output>13/20 = around 0.65</output>
<gadget id="calculator">300 / (13/20)</gadget>
<output>6_000/13 = around 461.538462</output>
<result>C</result> | C | 461.5 | If it is assumed that 65 percent of those who receive a questionnaire by mail will respond and 300 responses are needed, what is the minimum number of questionnaires that should be mailed? | {
"A": "400",
"B": "420",
"C": "461.5",
"D": "500",
"E": "600"
} | divide(300, divide(65, const_100)) | divide(n0,const_100)|divide(n1,#0)| | "minimum no of mail to be sent for getting 300 responses at 65 % = 300 / 0.65 = 461.5 option c" | gain |
math_qa__Ac2bobcR2cTZNUoZ | If the length, breadth and the height of a cuboid are in the ratio 6:5:4 and if the total surface area is 33300 cm2cm2, then the length , breadth and height in cms, are respectively. Choose the correct choice from the following answers
A) 90 , 85,60 B) 85 , 75,60 C) 90 , 75,70 D) 90 , 75,60 E) none | <gadget id="calculator">6 * 4</gadget>
<output>24</output>
<gadget id="calculator">6 * 5</gadget>
<output>30</output>
<gadget id="calculator">5 * 4</gadget>
<output>20</output>
<gadget id="calculator">30 + 20</gadget>
<output>50</output>
<gadget id="calculator">24 + 50</gadget>
<output>74</output>
<gadget id="calculator">74 * 2</gadget>
<output>148</output>
<gadget id="calculator">33_300 / 148</gadget>
<output>225</output>
<gadget id="calculator">225 ** (1/2)</gadget>
<output>15</output>
<gadget id="calculator">6 * 15</gadget>
<output>90</output>
<result>D</result> | D | 90 | If the length, breadth and the height of a cuboid are in the ratio 6:5:4 and if the total surface area is 33300 cm2cm2, then the length , breadth and height in cms, are respectively. | {
"A": "90 , 85,60",
"B": "85 , 75,60",
"C": "90 , 75,70",
"D": "90 , 75,60",
"E": "none"
} | multiply(6, sqrt(divide(33300, multiply(add(multiply(6, 4), add(multiply(6, 5), multiply(5, 4))), const_2)))) | multiply(n0,n1)|multiply(n1,n2)|multiply(n0,n2)|add(#0,#1)|add(#3,#2)|multiply(#4,const_2)|divide(n3,#5)|sqrt(#6)|multiply(n0,#7) | explanation : let length = 6 x , breadth = 5 x and height = 4 x in cm 2 ( 6 x × 5 x + 5 x × 4 x + 6 x × 4 x ) = 33300 148 x 2 = 33300 ⇒ x 2 = 33300 / 148 = 225 ⇒ x = 15 length = 90 cm , breadth = 75 cm and height = 60 cm correct option : d | geometry |
math_qa__EbOTX5t0D9VoBsL8 | One hour after Yolanda started walking from X to Y, a distance of 31 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 miles per hour and Bobт's was 4 miles per hour, how many miles had Bob walked when they met?
Choose the correct choice from the following answers.
A) 24 B) 23 C) 22 D) 21 E) 16 | <gadget id="calculator">31 - 3</gadget>
<output>28</output>
<gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">28 / 7</gadget>
<output>4</output>
<gadget id="calculator">4 * 4</gadget>
<output>16</output>
<result>E</result> | E | 16 | One hour after Yolanda started walking from X to Y, a distance of 31 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 miles per hour and Bobт's was 4 miles per hour, how many miles had Bob walked when they met? | {
"A": "24",
"B": "23",
"C": "22",
"D": "21",
"E": "16"
} | multiply(divide(subtract(31, 3), add(3, 4)), 4) | add(n1,n2)|subtract(n0,n1)|divide(#1,#0)|multiply(n2,#2)| | "when b started walking y already has covered 3 miles out of 31 , hence the distance at that time between them was 31 - 3 = 28 miles . combined rate of b and y was 3 + 4 = 7 miles per hour , hence they would meet each other in 28 / 7 = 4 hours . in 6 hours b walked 4 * 4 = 16 miles . answer : e ." | physics |
math_qa__aw4xbRFe8g6R2lQl | Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 5 days? Choose the correct answer:
A) 5 / 18
B) 1 / 6
C) 1 / 4
D) 1 / 9
E) 2 / 6 | <gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">1 / 45</gadget>
<output>1/45 = around 0.022222</output>
<gadget id="calculator">(1/30) + (1/45)</gadget>
<output>1/18 = around 0.055556</output>
<gadget id="calculator">5 * (1/18)</gadget>
<output>5/18 = around 0.277778</output>
<result>A</result> | A | 0.277778 | Two persons A and B can complete a piece of work in 30 days and 45 days respectively. If they work together, what part of the work will be completed in 5 days? | {
"A": "5 / 18",
"B": "1 / 6",
"C": "1 / 4",
"D": "1 / 9",
"E": "2 / 6"
} | multiply(5, add(divide(const_1, 30), divide(const_1, 45))) | divide(const_1,n0)|divide(const_1,n1)|add(#0,#1)|multiply(n2,#2)| | "a ' s one day ' s work = 1 / 30 b ' s one day ' s work = 1 / 45 ( a + b ) ' s one day ' s work = 1 / 30 + 1 / 45 = 1 / 18 the part of the work completed in 5 days = 5 ( 1 / 18 ) = 5 / 18 . answer a" | physics |
math_qa__3tLoIJK3hSXoeu7S | A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 25 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder?
Choose the most appropriate option:
A) $ 198
B) $ 216
C) $ 220
D) $ 180
E) $ 240 | <gadget id="calculator">200 / 100</gadget>
<output>2</output>
<gadget id="calculator">2 * 20</gadget>
<output>40</output>
<gadget id="calculator">200 + 40</gadget>
<output>240</output>
<gadget id="calculator">240 / 100</gadget>
<output>12/5 = around 2.4</output>
<gadget id="calculator">(12/5) * 25</gadget>
<output>60</output>
<gadget id="calculator">240 - 60</gadget>
<output>180</output>
<result>D</result> | D | 180 | A retail appliance store priced a video recorder at 20 percent above the wholesale cost of $200. If a store employee applied the 25 percent employee discount to the retail price to buy the recorder, how much did the employee pay for the recorder? | {
"A": "$ 198",
"B": "$ 216",
"C": "$ 220",
"D": "$ 180",
"E": "$ 240"
} | subtract(add(200, multiply(divide(200, const_100), 20)), multiply(divide(add(200, multiply(divide(200, const_100), 20)), const_100), 25)) | divide(n1,const_100)|multiply(n0,#0)|add(n1,#1)|divide(#2,const_100)|multiply(n2,#3)|subtract(#2,#4) | wholesale cost of video recorder = 200 $ video recorder was priced at 20 percent above 200 = 240 $ % discount given by store employee = 25 emlpoyee paid = . 75 * 240 = 180 $ answer d | gain |
math_qa__HAsmjGtwGveA86r2 | An seller earns an income of Re 3 on the first day of his business. On every subsequent day, he earns an income which is just thrice of that made on the previous day. On the 15th day of business, he earns an income of: Choose the correct answer:
A) 19
B) 22
C) 25
D) 20
E) 36 | <gadget id="calculator">15 - 3</gadget>
<output>12</output>
<gadget id="calculator">12 * 3</gadget>
<output>36</output>
<result>E</result> | E | 36 | An seller earns an income of Re 3 on the first day of his business. On every subsequent day, he earns an income which is just thrice of that made on the previous day. On the 15th day of business, he earns an income of: | {
"A": "19",
"B": "22",
"C": "25",
"D": "20",
"E": "36"
} | multiply(subtract(15, 3), 3) | subtract(n1,n0)|multiply(n0,#0) | 2 nd day he earns = 3 ( 2 – 3 ) 3 rd day he earns = 3 ( 3 – 3 ) on 15 th day he earns 3 ( 15 - 3 ) = 36 rupees answer : e | physics |
math_qa__XFIUh9yOWlwuEheY | In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 10 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 the correct option:
A) 400 B) 625 C) 250 D) 2,500 E) 10,000 | <gadget id="calculator">10 / 50</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">50 / (1/5)</gadget>
<output>250</output>
<result>C</result> | C | 250 | In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 10 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": "250",
"D": "2,500",
"E": "10,000"
} | divide(50, divide(10, 50)) | divide(n2,n1)|divide(n0,#0)| | "total fish = x percentage of second catch = ( 10 / 50 ) * 100 = 20 % so , x * 20 % = 50 x = 250 ans . c" | gain |
math_qa__SNDO1vX66X51SnaR | A can finish a work in 12days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?
Choose the most appropriate option
A) 10 days B) 12 days C) 6 days D) 7 days E) 5 days | <gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/9) + (1/2)</gadget>
<output>11/18 = around 0.611111</output>
<gadget id="calculator">1 / (11/18)</gadget>
<output>18/11 = around 1.636364</output>
<gadget id="calculator">(18/11) * 3</gadget>
<output>54/11 = around 4.909091</output>
<result>E</result> | E | 5 | A can finish a work in 12days, B in 9days and C in 2days, B and C start the work but are forced to leave after 3 days. The remaining work was done by A in? | {
"A": "10 days",
"B": "12 days",
"C": "6 days",
"D": "7 days",
"E": "5 days"
} | multiply(divide(const_1, add(divide(const_1, 9), divide(const_1, 2))), 3) | divide(const_1,n1)|divide(const_1,n2)|add(#0,#1)|divide(const_1,#2)|multiply(n3,#3) | b + c 1 day work = 1 / 9 + 1 / 12 = 7 / 36 work done by b and c in 3 days = 7 / 36 * 3 = 7 / 12 remaining work = 1 - 7 / 12 = 5 / 12 1 / 24 work is done by a in 1 day 5 / 12 work is done by a in 12 * 5 / 12 = 5 days answer is e | physics |
math_qa__gIIOWhUVZgtyW6mH | 75 boys can complete a job in 24 days. How many men need to complete the job twice in 20 days
Select the correct option:
A) 160
B) 170
C) 180
D) 190
E) 200 | <gadget id="calculator">24 * 2</gadget>
<output>48</output>
<gadget id="calculator">48 * 75</gadget>
<output>3_600</output>
<gadget id="calculator">3_600 / 20</gadget>
<output>180</output>
<result>C</result> | C | 180 | 75 boys can complete a job in 24 days. How many men need to complete the job twice in 20 days | {
"A": "160",
"B": "170",
"C": "180",
"D": "190",
"E": "200"
} | divide(multiply(multiply(24, const_2), 75), 20) | multiply(n1,const_2)|multiply(n0,#0)|divide(#1,n2) | one man can complete the job in 24 * 75 = 1800 days to complete the job twice he would need 3600 days . thus , to complete the job in 20 days , 3600 / 20 = 180 men are needed . answer : c | physics |
math_qa__GglGnzToQnTOydpw | There are 760 students in a school. The ratio of boys and girls in this school is 3:5. Find the total of girls & boys are there in this school? Choose the correct answer
A) 320 B) 345 C) 425 D) 475 E) 400 | <gadget id="calculator">760 / 5</gadget>
<output>152</output>
<gadget id="calculator">152 * 3</gadget>
<output>456</output>
<result>D</result> | D | 475 | There are 760 students in a school. The ratio of boys and girls in this school is 3:5. Find the total of girls & boys are there in this school? | {
"A": "320",
"B": "345",
"C": "425",
"D": "475",
"E": "400"
} | multiply(divide(760, 5), 3) | divide(n0,n2)|multiply(n1,#0)| | "in order to obtain a ratio of boys to girls equal to 3 : 5 , the number of boys has to be written as 3 x and the number of girls as 5 x where x is a common factor to the number of girls and the number of boys . the total number of boys and girls is 760 . hence 3 x + 5 x = 760 solve for x 8 x = 760 x = 95 number of boys 3 x = 3 × 95 = 285 number of girls 5 x = 5 × 95 = 475 d" | other |
math_qa__ewEKNRPfY2fPzYe3 | A contractor is engaged for 30days on the condition that he receives Rs.25 for each dayhe works &is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many dayswas he absent?
Pick one: A) 5 B) 10 C) 17 D) 25 E) 30 | <gadget id="calculator">30 * 7.5</gadget>
<output>225</output>
<gadget id="calculator">225 + 425</gadget>
<output>650</output>
<gadget id="calculator">25 + 7.5</gadget>
<output>32.5</output>
<gadget id="calculator">650 / 32.5</gadget>
<output>20</output>
<gadget id="calculator">30 - 20</gadget>
<output>10</output>
<result>B</result> | B | 10 | A contractor is engaged for 30days on the condition that he receives Rs.25 for each dayhe works &is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many dayswas he absent? | {
"A": "5",
"B": "10",
"C": "17",
"D": "25",
"E": "30"
} | subtract(30, divide(add(multiply(30, 7.50), 425), add(25, 7.50))) | add(n1,n2)|multiply(n0,n2)|add(n3,#1)|divide(#2,#0)|subtract(n0,#3)| | "30 * 25 = 750 425 - - - - - - - - - - - 325 25 + 7.50 = 32.5 325 / 32.5 = 10 b" | physics |
math_qa__1uj6t7e1MyHjUudn | If a dozen of oranges cost $5, what would be the cost of 10 oranges? Choose the correct answer
A) 3.56
B) 4.16
C) 4.86
D) 5.1
E) 5.2 | <gadget id="calculator">10 * 5</gadget>
<output>50</output>
<gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">50 / 12</gadget>
<output>25/6 = around 4.166667</output>
<result>B</result> | B | 4.16 | If a dozen of oranges cost $5, what would be the cost of 10 oranges? | {
"A": "3.56",
"B": "4.16",
"C": "4.86",
"D": "5.1",
"E": "5.2"
} | divide(multiply(10, 5), add(10, const_2)) | add(n1,const_2)|multiply(n0,n1)|divide(#1,#0) | the cost of one orange = 5 / 12 = 0.416 the cost of ten oranges = 0.416 x 10 = $ 4.16 answer : b | general |
math_qa__TD0LtISVsYoj7YmL | Light glows for every 14 seconds . How many times did it between 1:57:58 and 3:20:47 am Answers
A) 381
B) 382
C) 383
D) 384
E) 355 | <gadget id="calculator">2 + 47</gadget>
<output>49</output>
<gadget id="calculator">2 + 60</gadget>
<output>62</output>
<gadget id="calculator">20 + 62</gadget>
<output>82</output>
<gadget id="calculator">82 * 60</gadget>
<output>4_920</output>
<gadget id="calculator">49 + 4_920</gadget>
<output>4_969</output>
<gadget id="calculator">4_969 / 14</gadget>
<output>4_969/14 = around 354.928571</output>
<result>E</result> | E | 355 | Light glows for every 14 seconds . How many times did it between 1:57:58 and 3:20:47 am | {
"A": "381",
"B": "382",
"C": "383",
"D": "384",
"E": "355"
} | divide(add(add(const_2, 47), multiply(add(20, add(const_2, const_60)), const_60)), 14) | add(n6,const_2)|add(const_2,const_60)|add(n5,#1)|multiply(#2,const_60)|add(#0,#3)|divide(#4,n0)| | "the diff in sec between 1 : 57 : 58 and 3 : 20 : 47 is 4969 sec , 4969 / 14 = 354 so total 355 times light ll glow answer : e" | physics |
math_qa__zLgMhDX45aATKOWp | If 36 men can do a piece of work in 20 hours, in how mwny hours will15 men do it?
Choose the correct choice from the following answers:
A) 22
B) 48
C) 60
D) 88
E) 72 | <gadget id="calculator">36 * 20</gadget>
<output>720</output>
<gadget id="calculator">720 / 15</gadget>
<output>48</output>
<result>B</result> | B | 48 | If 36 men can do a piece of work in 20 hours, in how mwny hours will15 men do it? | {
"A": "22",
"B": "48",
"C": "60",
"D": "88",
"E": "72"
} | divide(multiply(36, 20), 15) | multiply(n0,n1)|divide(#0,n2)| | "explanation : let the required no of hours be x . then less men , more hours ( indirect proportion ) \ inline \ fn _ jvn \ therefore 15 : 36 : : 20 : x \ inline \ fn _ jvn \ leftrightarrow ( 15 x x ) = ( 36 x 20 ) \ inline \ fn _ jvn \ leftrightarrow \ inline \ fn _ jvn x = \ frac { 36 \ times 20 } { 15 } = 48 hence , 15 men can do it in 48 hours . answer : b ) 48" | physics |
math_qa__Lnw7Kj6GTTW32l4C | 20 beavers, working together in a constant pace, can build a dam in 3 hours. How many hours Z will it take 12 beavers that work at the same pace, to build the same dam?
Choose one.
A) 2 . B) z = 4 . C) z = 5 . D) 6 . E) 8 . | <gadget id="calculator">3 * 20</gadget>
<output>60</output>
<gadget id="calculator">60 / 12</gadget>
<output>5</output>
<result>C</result> | C | 5 | 20 beavers, working together in a constant pace, can build a dam in 3 hours. How many hours Z will it take 12 beavers that work at the same pace, to build the same dam? | {
"A": "2 .",
"B": "z = 4 .",
"C": "z = 5 .",
"D": "6 .",
"E": "8 ."
} | divide(multiply(3, 20), 12) | multiply(n0,n1)|divide(#0,n2)| | "c . 5 hrs if there were 10 beavers it qould have taken double z = 6 hrs . . so closest to that option is 5 ." | physics |
math_qa__wAcF5DCW6nO30AIw | Every letter in the alphabet has a number value that is equal to its place in the alphabet. Thus, the letter A has a value of 1, the letter B has a value of 2, the letter C has a value of 3, etc... The number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word. What is the number value of the word "RAT"? Choose the correct choice from the following.
A) 108 B) 111 C) 114 D) 117 E) 120 | <gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">20 - 2</gadget>
<output>18</output>
<gadget id="calculator">18 + 1</gadget>
<output>19</output>
<gadget id="calculator">19 + 20</gadget>
<output>39</output>
<gadget id="calculator">39 * 3</gadget>
<output>117</output>
<result>D</result> | D | 117 | Every letter in the alphabet has a number value that is equal to its place in the alphabet. Thus, the letter A has a value of 1, the letter B has a value of 2, the letter C has a value of 3, etc... The number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word. What is the number value of the word "RAT"? | {
"A": "108",
"B": "111",
"C": "114",
"D": "117",
"E": "120"
} | multiply(add(add(subtract(multiply(2, const_10), 2), 1), multiply(2, const_10)), 3) | multiply(n1,const_10)|subtract(#0,n1)|add(n0,#1)|add(#2,#0)|multiply(n2,#3) | ` ` rat ' ' = ( 18 + 1 + 20 ) * 3 = 117 . the answer is d . | general |
math_qa__3QYovMKmKkyyDVYC | √(9)^2 Choose the most appropriate option
A) 3
B) 14
C) 9
D) 21
E) none of these | <gadget id="calculator">9 ** 2</gadget>
<output>81</output>
<gadget id="calculator">81 ** (1/2)</gadget>
<output>9</output>
<result>C</result> | C | 9 | √(9)^2 | {
"A": "3",
"B": "14",
"C": "9",
"D": "21",
"E": "none of these"
} | sqrt(power(9, 2)) | power(n0,n1)|sqrt(#0)| | "explanation √ ( 9 ) ^ 2 = ? or , ? = 9 answer c" | general |
math_qa__yycNyg4YAaXs38Gq | The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 3 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each? Choose the correct choice from the following choices:
A) s . 4528
B) s . 4520
C) s . 4527
D) s . 4530
E) s . 2718 | <gadget id="calculator">2 * 12</gadget>
<output>24</output>
<gadget id="calculator">15 + 25</gadget>
<output>40</output>
<gadget id="calculator">24 * 40</gadget>
<output>960</output>
<gadget id="calculator">6 * 3</gadget>
<output>18</output>
<gadget id="calculator">960 - 18</gadget>
<output>942</output>
<gadget id="calculator">4 * 3</gadget>
<output>12</output>
<gadget id="calculator">3 * 12</gadget>
<output>36</output>
<gadget id="calculator">942 - 36</gadget>
<output>906</output>
<gadget id="calculator">906 * 3</gadget>
<output>2_718</output>
<result>E</result> | E | 2,718 | The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 3 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each? | {
"A": "s . 4528",
"B": "s . 4520",
"C": "s . 4527",
"D": "s . 4530",
"E": "s . 2718"
} | multiply(subtract(subtract(multiply(multiply(const_2, 12), add(15, 25)), multiply(6, 3)), multiply(3, multiply(4, 3))), 3) | add(n0,n1)|multiply(n2,const_2)|multiply(n4,n5)|multiply(n5,n6)|multiply(#0,#1)|multiply(n5,#3)|subtract(#4,#2)|subtract(#6,#5)|multiply(n3,#7)| | "area of the four walls = 2 h ( l + b ) since there are doors and windows , area of the walls = 2 * 12 ( 15 + 25 ) - ( 6 * 3 ) - 3 ( 4 * 3 ) = 906 sq . ft . total cost = 906 * 3 = rs . 2718 answer : e" | geometry |
math_qa__VeOKwQJ9MqJGurby | The length of the bridge, which a train 160 meters long and travelling at 45 km/hr can cross in 30 seconds, is? Choices
A) 766 m B) 156 m C) 215 m D) 156 m E) 156 m | <gadget id="calculator">1_000 / 1</gadget>
<output>1_000</output>
<gadget id="calculator">45 * 1_000</gadget>
<output>45_000</output>
<gadget id="calculator">3_600 / 1</gadget>
<output>3_600</output>
<gadget id="calculator">45_000 / 3_600</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) * 30</gadget>
<output>375</output>
<gadget id="calculator">375 - 160</gadget>
<output>215</output>
<result>C</result> | C | 215 | The length of the bridge, which a train 160 meters long and travelling at 45 km/hr can cross in 30 seconds, is? | {
"A": "766 m",
"B": "156 m",
"C": "215 m",
"D": "156 m",
"E": "156 m"
} | subtract(multiply(divide(multiply(45, speed(const_1000, const_1)), speed(const_3600, const_1)), 30), 160) | speed(const_1000,const_1)|speed(const_3600,const_1)|multiply(n1,#0)|divide(#2,#1)|multiply(n2,#3)|subtract(#4,n0)| | "speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 160 + x ) / 30 = 25 / 2 = = > 2 ( 160 + x ) = 750 = = > x = 215 m . answer : c" | physics |
math_qa__IDHcl4ePJcuH8wzX | A car that moves at an average speed of 60 kmph, reaches its destination on time. When its average speed becomes 50 kmph, then it reaches its destination 45 minutes late. Find the length of journey. Choose the correct choice from the following answers
A) 189 km
B) 225 km
C) 255 km
D) 199 km
E) none | <gadget id="calculator">45 / 60</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">50 * (3/4)</gadget>
<output>75/2 = around 37.5</output>
<gadget id="calculator">60 - 50</gadget>
<output>10</output>
<gadget id="calculator">(75/2) / 10</gadget>
<output>15/4 = around 3.75</output>
<gadget id="calculator">(15/4) * 60</gadget>
<output>225</output>
<result>B</result> | B | 225 | A car that moves at an average speed of 60 kmph, reaches its destination on time. When its average speed becomes 50 kmph, then it reaches its destination 45 minutes late. Find the length of journey. | {
"A": "189 km",
"B": "225 km",
"C": "255 km",
"D": "199 km",
"E": "none"
} | multiply(divide(multiply(50, divide(45, const_60)), subtract(60, 50)), 60) | divide(n2,const_60)|subtract(n0,n1)|multiply(n1,#0)|divide(#2,#1)|multiply(n0,#3) | sol . difference between timings = 45 min = 3 / 4 hr . let the length of journey be x km . then , x / 50 - x / 60 = 1 / 4 â ‡ ” 6 x - 5 x = 225 â ‡ ” x = 225 km . answer b | physics |
math_qa__KenoUHkyuDyuK5E7 | one pipe can fill a tank in 15 hour.but because of hole in a tank,this tank fill in 20 hour.so in how much time this hole will empty the full tank? Pick one: A) 30 B) 40 C) 50 D) 60 E) 70 | <gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/15) - (1/20)</gadget>
<output>1/60 = around 0.016667</output>
<gadget id="calculator">1 / (1/60)</gadget>
<output>60</output>
<result>D</result> | D | 60 | one pipe can fill a tank in 15 hour.but because of hole in a tank,this tank fill in 20 hour.so in how much time this hole will empty the full tank? | {
"A": "30",
"B": "40",
"C": "50",
"D": "60",
"E": "70"
} | inverse(subtract(divide(const_1, 15), divide(const_1, 20))) | divide(const_1,n0)|divide(const_1,n1)|subtract(#0,#1)|inverse(#2) | in 1 hour hole empty = [ 1 / 15 - 1 / 20 ] = 1 / 60 so total time taken to empty the full tank through hole = 60 hour . answer d | physics |
math_qa__fwlIzfc9vkAc0trD | Moli buys 3 ribbons,7 clips and 1 soap for Rs.120 exactly. At the same place it would cost Rs.164 for 4 ribbons, 10 clips and one soap. How much would it cost for one ribbon, one clip and one soap ? Choose the correct choice.
A) 36 B) 34 C) 38 D) 32 E) 31 | <gadget id="calculator">164 - 120</gadget>
<output>44</output>
<gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">44 - 12</gadget>
<output>32</output>
<result>D</result> | D | 32 | Moli buys 3 ribbons,7 clips and 1 soap for Rs.120 exactly. At the same place it would cost Rs.164 for 4 ribbons, 10 clips and one soap. How much would it cost for one ribbon, one clip and one soap ? | {
"A": "36",
"B": "34",
"C": "38",
"D": "32",
"E": "31"
} | subtract(subtract(164, 120), add(10, const_2)) | add(n6,const_2)|subtract(n4,n3)|subtract(#1,#0) | explanation : let us consider , ribbon is denoted by r clips is denoted by c soaps is denoted by s now according to the question , = > 3 r + 7 c + s = 120 - - - - - - - - ( 1 ) = > 4 r + 10 c + s = 164 - - - - - - - - ( 2 ) ( 1 ) - ( 2 ) = > ( 3 r - 4 r ) + ( 7 c - 10 c ) + ( s - s ) = 120 - 164 = > - r - 3 c = - 44 multily the equation by - 1 , it becomes = > r + 3 c = 44 - - - - - - - ( 3 ) now perform this operation 2 * ( 1 ) - ( 2 ) = > 2 r + 4 c + s = 76 - - - - - - - ( 4 ) finaly ( 4 ) - ( 3 ) = > r + c + s = 32 hence , the cost of 1 ribbon , 1 clip and 1 saop would be 32 rs . answer : d | general |
math_qa__c6AmCQrQC0yVbJje | The speed of a train is 90 kmph. What is the distance covered by it in 5 minutes? Choose the most appropriate option:
A) 7.5 B) 66 C) 77 D) 52 E) 42 | <gadget id="calculator">5 / 60</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/12) * 90</gadget>
<output>15/2 = around 7.5</output>
<result>A</result> | A | 7.5 | The speed of a train is 90 kmph. What is the distance covered by it in 5 minutes? | {
"A": "7.5",
"B": "66",
"C": "77",
"D": "52",
"E": "42"
} | multiply(divide(5, const_60), 90) | divide(n1,const_60)|multiply(n0,#0)| | "90 * 5 / 60 = 7.5 kmph answer : a" | physics |
math_qa__OAACClyLuivSPIMO | If (m-8) is a factor of m^2-km-24, then k= Pick one: A) 3 B) 5 C) 6 D) 11 E) 16 | <gadget id="calculator">24 / 8</gadget>
<output>3</output>
<gadget id="calculator">8 - 3</gadget>
<output>5</output>
<result>B</result> | B | 5 | If (m-8) is a factor of m^2-km-24, then k= | {
"A": "3",
"B": "5",
"C": "6",
"D": "11",
"E": "16"
} | subtract(8, divide(24, 8)) | divide(n2,n0)|subtract(n0,#0)| | "( m - 8 ) ( m - a ) = m ^ 2 - km - 24 a = - 3 k = 8 + a = 5 = b" | general |
math_qa__9dO5eng8Vrkpw1r0 | A box contains either blue or red flags. The total number of flags in the box is an even number. A group of children are asked to pick up two flags each. If all the flags are used up in the process such that 60% of the children have blue flags, and 70% have red flags, what percentage of children have flags of both the colors? Choices.
A) 5 %
B) 10 %
C) 15 %
D) 20 %
E) 30 % | <gadget id="calculator">60 + 70</gadget>
<output>130</output>
<gadget id="calculator">130 - 100</gadget>
<output>30</output>
<result>E</result> | E | 30 | A box contains either blue or red flags. The total number of flags in the box is an even number. A group of children are asked to pick up two flags each. If all the flags are used up in the process such that 60% of the children have blue flags, and 70% have red flags, what percentage of children have flags of both the colors? | {
"A": "5 %",
"B": "10 %",
"C": "15 %",
"D": "20 %",
"E": "30 %"
} | subtract(add(60, 70), const_100) | add(n0,n1)|subtract(#0,const_100) | solution : let the total number of flags be 100 ( even number ) let the total number of ' blue ' flags alone be ' a ' let the total number of ' red ' flags alone be ' b ' let the total number of ' both ' flags be ' c ' we have given , total number of blue flags = 60 % = 60 = a + c total number of red flags = 70 % = 70 = b + c total number of flags = a + b + c = 100 ( since all the flags have been utilized ) so , substituting for c in the third equation , we have , 60 - c + c + 70 - c = 100 c = 30 option e . | general |
math_qa__HwNSMOFWetVtLW1Z | A dog breeder currently has 9 breeding dogs. 6 of the dogs have exactly 1 littermate, and 3 of the dogs have exactly 2 littermates. If 2 dogs are selected at random, what is the probability W that both selected dogs are NOT littermates?
Choose the most appropriate option
A) 1 / 6 B) 2 / 9 C) 5 / 6 D) 7 / 9 E) 8 / 9 | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<result>C</result> | C | 0.833333 | A dog breeder currently has 9 breeding dogs. 6 of the dogs have exactly 1 littermate, and 3 of the dogs have exactly 2 littermates. If 2 dogs are selected at random, what is the probability W that both selected dogs are NOT littermates? | {
"A": "1 / 6",
"B": "2 / 9",
"C": "5 / 6",
"D": "7 / 9",
"E": "8 / 9"
} | divide(const_5, 6) | divide(const_5,n1) | we have three pairs of dogs for the 6 with exactly one littermate , and one triplet , with each having exactly two littermates . so , in fact there are two types of dogs : those with one littermate - say a , and the others with two littermates - b . work with probabilities : choosing two dogs , we can have either one dog of type b or none ( we can not have two dogs both of type b ) . the probability of choosing one dog of type b and one of type a is 3 / 9 * 6 / 8 * 2 = 1 / 2 ( the factor of 2 for the two possibilities ba and ab ) . the probability of choosing two dogs of type a which are not littermates is 6 / 9 * 4 / 8 = 1 / 3 ( choose one a , then another a which is n ' t the previous one ' s littermate ) . the required probability is 1 / 2 + 1 / 3 = 5 / 6 . find the probability for the complementary event : choose aa or bb . probability of choosing two dogs of type a who are littermates is 6 / 9 * 1 / 8 = 1 / 12 . probability of choosing two dogs of type b ( who necessarily are littermates ) is 3 / 9 * 2 / 8 = 1 / 12 . again , we obtain 1 - ( 1 / 12 + 1 / 12 ) w = 5 / 6 . answer : c | other |
math_qa__peflFvIvtr02Vi93 | P cando a work in 15 days and Q cando the same work in 20 days. If they can work together for 4 days, what is the fraction of work left? Answers:
A) 6 / 15
B) 7 / 13
C) 8 / 15
D) 9 / 17
E) 2 / 13 | <gadget id="calculator">60 / 15</gadget>
<output>4</output>
<gadget id="calculator">60 / 20</gadget>
<output>3</output>
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">4 * 7</gadget>
<output>28</output>
<gadget id="calculator">60 - 28</gadget>
<output>32</output>
<gadget id="calculator">32 / 60</gadget>
<output>8/15 = around 0.533333</output>
<result>C</result> | C | 0.533333 | P cando a work in 15 days and Q cando the same work in 20 days. If they can work together for 4 days, what is the fraction of work left? | {
"A": "6 / 15",
"B": "7 / 13",
"C": "8 / 15",
"D": "9 / 17",
"E": "2 / 13"
} | divide(subtract(const_60, multiply(divide(const_60, 15), add(divide(const_60, 15), divide(const_60, 20)))), const_60) | divide(const_60,n0)|divide(const_60,n1)|add(#0,#1)|multiply(#2,#0)|subtract(const_60,#3)|divide(#4,const_60) | amount of work p can do in 1 day = 1 / 15 amount of work q can do in 1 day = 1 / 20 amount of work p and q can do in 1 day = 1 / 15 + 1 / 20 = 7 / 60 amount of work p and q can together do in 4 days = 4 × ( 7 / 60 ) = 7 / 15 fraction of work left = 1 – 7 / 15 = 8 / 15 c | physics |
math_qa__4uPKNYfYGBlLcLnc | How many of the integers between 25 and 95 are even ? Answers.
A) 35
B) 90
C) 11
D) 10
E) 9 | <gadget id="calculator">95 - 25</gadget>
<output>70</output>
<gadget id="calculator">70 / 2</gadget>
<output>35</output>
<result>A</result> | A | 35 | How many of the integers between 25 and 95 are even ? | {
"A": "35",
"B": "90",
"C": "11",
"D": "10",
"E": "9"
} | divide(subtract(95, 25), const_2) | subtract(n1,n0)|divide(#0,const_2)| | "number start between 25 to 95 is 70 numbers half of them is even . . which is 35 answer : a" | general |
math_qa__PjG8kIIn7Dt7hhXf | The sale price shirts listed for Rs.400 after successive discount is 10% and 5% is? Answers
A) 280 B) 290 C) 342 D) 250 E) 253 | <gadget id="calculator">400 * 10</gadget>
<output>4_000</output>
<gadget id="calculator">4_000 / 100</gadget>
<output>40</output>
<gadget id="calculator">5 * 400</gadget>
<output>2_000</output>
<gadget id="calculator">2_000 / 100</gadget>
<output>20</output>
<gadget id="calculator">40 + 20</gadget>
<output>60</output>
<gadget id="calculator">400 - 60</gadget>
<output>340</output>
<result>C</result> | C | 342 | The sale price shirts listed for Rs.400 after successive discount is 10% and 5% is? | {
"A": "280",
"B": "290",
"C": "342",
"D": "250",
"E": "253"
} | subtract(400, add(divide(multiply(400, 10), const_100), divide(multiply(5, 400), const_100))) | multiply(n0,n1)|multiply(n0,n2)|divide(#0,const_100)|divide(#1,const_100)|add(#2,#3)|subtract(n0,#4) | 400 * ( 90 / 100 ) * ( 95 / 100 ) = 342 c | gain |
math_qa__A8BfvJBavYACnYud | Village X has a population of 78000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal? Options.
A) 15
B) 19
C) 11
D) 18
E) 13 | <gadget id="calculator">78_000 - 42_000</gadget>
<output>36_000</output>
<gadget id="calculator">800 + 1_200</gadget>
<output>2_000</output>
<gadget id="calculator">36_000 / 2_000</gadget>
<output>18</output>
<result>D</result> | D | 18 | Village X has a population of 78000, which is decreasing at the rate of 1200 per year. Village Y has a population of 42000, which is increasing at the rate of 800 per year .in how many years will the population of the two villages be equal? | {
"A": "15",
"B": "19",
"C": "11",
"D": "18",
"E": "13"
} | divide(subtract(78000, 42000), add(800, 1200)) | add(n1,n3)|subtract(n0,n2)|divide(#1,#0)| | "let the population of two villages be equal after p years then , 78000 - 1200 p = 42000 + 800 p 2000 p = 36000 p = 18 answer is d ." | general |
math_qa__KM168JUzUrRvHU80 | If a whole number n is divided by 4, we will get 3 as remainder. What will be the remainder if 2n is divided by 4 ? Choose the correct choice from the following answers.
A) 4 B) 3 C) 2 D) 1 E) 0 | <gadget id="calculator">4 * 1</gadget>
<output>4</output>
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">2 * 7</gadget>
<output>14</output>
<gadget id="calculator">14 % 4</gadget>
<output>2</output>
<result>C</result> | C | 2 | If a whole number n is divided by 4, we will get 3 as remainder. What will be the remainder if 2n is divided by 4 ? | {
"A": "4",
"B": "3",
"C": "2",
"D": "1",
"E": "0"
} | reminder(multiply(2, add(multiply(4, const_1), 3)), 4) | multiply(n0,const_1)|add(n1,#0)|multiply(n2,#1)|reminder(#2,n0) | explanation : let n ÷ 4 = p , remainder = 3 = > n = 4 p + 3 2 n = 2 ( 4 p + 3 ) = 8 p + 6 = 8 p + 4 + 2 = 4 ( 2 p + 1 ) + 2 hence , if 2 n is divided by 4 , we will get 2 as remainder . answer : c | general |
math_qa__e5VgEPLAcXdAas5V | A invested $300 in a business after 6 months B invested $200 in the business. End of the year if they got $100 as profit. Find A shares? Choose the correct choice from the following options: A) $ 100 B) $ 75 C) $ 20 D) $ 120 E) $ 50 | <gadget id="calculator">200 / 2</gadget>
<output>100</output>
<gadget id="calculator">300 + 100</gadget>
<output>400</output>
<gadget id="calculator">100 / 400</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">100 * (3/4)</gadget>
<output>75</output>
<result>B</result> | B | 75 | A invested $300 in a business after 6 months B invested $200 in the business. End of the year if they got $100 as profit. Find A shares? | {
"A": "$ 100",
"B": "$ 75",
"C": "$ 20",
"D": "$ 120",
"E": "$ 50"
} | multiply(100, subtract(const_1, divide(divide(200, const_2), add(300, divide(200, const_2))))) | divide(n2,const_2)|add(n0,#0)|divide(#0,#1)|subtract(const_1,#2)|multiply(n3,#3)| | "a : b = 300 * 12 : 200 * 6 a : b = 3 : 1 a ' s share = 100 * 3 / 4 = $ 75 answer is b" | gain |
math_qa__wrOTsfEe0DsN1jIQ | A group of boy scouts and girls scouts is going on a rafting trip. 80% of the scouts arrived with signed permission slips. If 40% of the scouts were boy scouts and 75% of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips? Round to the nearest percent. Select:
A) 79
B) 81
C) 82
D) 83
E) 85 | <gadget id="calculator">40 * 75</gadget>
<output>3_000</output>
<gadget id="calculator">3_000 / 100</gadget>
<output>30</output>
<gadget id="calculator">80 - 30</gadget>
<output>50</output>
<gadget id="calculator">100 - 40</gadget>
<output>60</output>
<gadget id="calculator">50 / 60</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">(5/6) * 100</gadget>
<output>250/3 = around 83.333333</output>
<result>D</result> | D | 83 | A group of boy scouts and girls scouts is going on a rafting trip. 80% of the scouts arrived with signed permission slips. If 40% of the scouts were boy scouts and 75% of the boy scouts arrived with signed permission slips, then what percentage of the girl scouts arrived with signed permission slips? Round to the nearest percent. | {
"A": "79",
"B": "81",
"C": "82",
"D": "83",
"E": "85"
} | multiply(divide(subtract(80, divide(multiply(40, 75), const_100)), subtract(const_100, 40)), const_100) | multiply(n1,n2)|subtract(const_100,n1)|divide(#0,const_100)|subtract(n0,#2)|divide(#3,#1)|multiply(#4,const_100)| | "40 % were boy scouts so 60 % ( 100 - 40 = 60 ) were girl scouts . # of boy scouts with permission slips signed + # of girl scouts with permission slips signed = total # with permission slip signed ( 75 % of 40 % of the total going ) + ( ? % of 60 % of the total going ) = 80 % of the total going we can let the ` ` total going ' ' = 100 arbitrarily since we only care about the percent ( of girl scouts w / permission signed ) . 75 * . 40 * 100 + x * . 60 * 100 = . 80 * 100 30 + x * 60 = 80 60 x = 50 x = 50 / 60 x = . 833333 converting this to a percent , we have 83 % d" | gain |
math_qa__grNWZFvrNcwKT345 | A sum fetched a total simple interest of Rs. 4016.25 at the rate of 1% p.a. in 3 years. What is the sum? Pick one:
A) 122762
B) 132877
C) 122882
D) 133875
E) 132887 | <gadget id="calculator">4_016.25 * 100</gadget>
<output>401_625</output>
<gadget id="calculator">401_625 / 1</gadget>
<output>401_625</output>
<gadget id="calculator">401_625 / 3</gadget>
<output>133_875</output>
<result>D</result> | D | 133,875 | A sum fetched a total simple interest of Rs. 4016.25 at the rate of 1% p.a. in 3 years. What is the sum? | {
"A": "122762",
"B": "132877",
"C": "122882",
"D": "133875",
"E": "132887"
} | divide(divide(multiply(4016.25, const_100), 1), 3) | multiply(n0,const_100)|divide(#0,n1)|divide(#1,n2)| | "principal = ( 100 * 4016.25 ) / ( 1 * 3 ) = rs . 133875 . answer : d" | gain |
math_qa__EyQURodS2SnX7kzG | Pipe A can fill a tank in 12 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes? Choose the correct choice from the following options
A) 18 B) 27 C) 98 D) 27 E) 36 | <gadget id="calculator">30 / 12</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">(5/2) - 1</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) * 24</gadget>
<output>36</output>
<result>E</result> | E | 36 | Pipe A can fill a tank in 12 minutes and pipe B cam empty it in 24 minutes. If both the pipes are opened together after how many minutes should pipe B be closed, so that the tank is filled in 30 minutes? | {
"A": "18",
"B": "27",
"C": "98",
"D": "27",
"E": "36"
} | multiply(subtract(divide(30, 12), const_1), 24) | divide(n2,n0)|subtract(#0,const_1)|multiply(n1,#1)| | "let the pipe b be closed after x minutes . 30 / 12 - x / 24 = 1 = > x / 24 = 30 / 12 - 1 = 3 / 2 = > x = 3 / 2 * 24 = 36 . answer : e" | physics |
math_qa__wKC2u0ihOYKviRVv | Sandy is younger than Molly by 18 years. If the ratio of their ages is 7:9, how old is Sandy? Answers.
A) 42 B) 49 C) 56 D) 63 E) 70 | <gadget id="calculator">9 - 7</gadget>
<output>2</output>
<gadget id="calculator">7 / 2</gadget>
<output>7/2 = around 3.5</output>
<gadget id="calculator">(7/2) * 18</gadget>
<output>63</output>
<result>D</result> | D | 63 | Sandy is younger than Molly by 18 years. If the ratio of their ages is 7:9, how old is Sandy? | {
"A": "42",
"B": "49",
"C": "56",
"D": "63",
"E": "70"
} | multiply(divide(7, subtract(9, 7)), 18) | subtract(n2,n1)|divide(n1,#0)|multiply(n0,#1)| | "let sandy ' s age be 7 x and let molly ' s age be 9 x . 9 x - 7 x = 18 x = 9 sandy is 63 years old . the answer is d ." | other |
math_qa__VvFQmflLJmpkcZtQ | A side of beef lost 20 percent of its weight in processing. If the side of beef weighed 640 pounds after processing, how many pounds did it weigh before processing? Choose the correct choice from the following answers: A) 191 B) 355 C) 800 D) 840 E) 900 | <gadget id="calculator">640 * 100</gadget>
<output>64_000</output>
<gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">64_000 / 80</gadget>
<output>800</output>
<result>C</result> | C | 800 | A side of beef lost 20 percent of its weight in processing. If the side of beef weighed 640 pounds after processing, how many pounds did it weigh before processing? | {
"A": "191",
"B": "355",
"C": "800",
"D": "840",
"E": "900"
} | divide(multiply(640, const_100), subtract(const_100, 20)) | multiply(n1,const_100)|subtract(const_100,n0)|divide(#0,#1)| | "let weight of side of beef before processing = x ( 80 / 100 ) * x = 640 = > x = ( 640 * 100 ) / 80 = 800 answer c" | gain |
math_qa__aLTGcB0evlIyP0Jy | Selling an kite for Rs. 30, a shop keeper gains 30%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is? Choose the correct choice from the following:
A) 8 % B) 10 % C) 11 % D) 17 % E) 20 % | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">(3/10) * 90</gadget>
<output>27</output>
<gadget id="calculator">30 * 100</gadget>
<output>3_000</output>
<gadget id="calculator">30 + 100</gadget>
<output>130</output>
<gadget id="calculator">3_000 / 130</gadget>
<output>300/13 = around 23.076923</output>
<gadget id="calculator">27 - (300/13)</gadget>
<output>51/13 = around 3.923077</output>
<gadget id="calculator">(51/13) / (300/13)</gadget>
<output>17/100 = around 0.17</output>
<gadget id="calculator">(17/100) * 100</gadget>
<output>17</output>
<result>D</result> | D | 17 | Selling an kite for Rs. 30, a shop keeper gains 30%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is? | {
"A": "8 %",
"B": "10 %",
"C": "11 %",
"D": "17 %",
"E": "20 %"
} | multiply(divide(subtract(multiply(divide(30, const_100), subtract(const_100, 10)), divide(multiply(30, const_100), add(30, const_100))), divide(multiply(30, const_100), add(30, const_100))), const_100) | add(n1,const_100)|divide(n0,const_100)|multiply(n0,const_100)|subtract(const_100,n2)|divide(#2,#0)|multiply(#1,#3)|subtract(#5,#4)|divide(#6,#4)|multiply(#7,const_100)| | "explanation : marked price = rs . 30 c . p . = 100 / 130 * 30 = rs . 23.07 sale price = 90 % of rs . 30 = rs . 27 required gain % = 3.92 / 23.07 * 100 = 17 % . answer : d" | gain |
math_qa__DwbAWJCSCoykWbn9 | The manufacturing cost of a shoe is Rs.220 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains Choose the correct choice from the following answers:
A) s 222
B) s 216
C) s 220
D) s 270
E) s 217 | <gadget id="calculator">500 / 100</gadget>
<output>5</output>
<gadget id="calculator">220 + 5</gadget>
<output>225</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 225</gadget>
<output>45</output>
<gadget id="calculator">225 + 45</gadget>
<output>270</output>
<result>D</result> | D | 270 | The manufacturing cost of a shoe is Rs.220 and the transportation lost is Rs.500 for 100 shoes. What will be the selling price if it is sold at 20% gains | {
"A": "s 222",
"B": "s 216",
"C": "s 220",
"D": "s 270",
"E": "s 217"
} | add(add(220, divide(500, 100)), multiply(divide(20, 100), add(220, divide(500, 100)))) | divide(n1,n2)|divide(n3,n2)|add(n0,#0)|multiply(#2,#1)|add(#2,#3)| | "explanation : total cost of a watch = 220 + ( 500 / 100 ) = 225 . gain = 20 % = > sp = 1.2 cp = 1.2 x 225 = 270 answer : d" | gain |
math_qa__T83u0rWVNfVWYJ04 | A grocer has a sale of Rs. 5124, Rs. 5366, Rs. 5808, Rs. 5399 and Rs. 6124 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5400? Options
A) 4079 B) 4579 C) 5579 D) 5679 E) 5779 | <gadget id="calculator">5 + 1</gadget>
<output>6</output>
<gadget id="calculator">6 * 5_400</gadget>
<output>32_400</output>
<gadget id="calculator">5_124 + 5_366</gadget>
<output>10_490</output>
<gadget id="calculator">10_490 + 5_808</gadget>
<output>16_298</output>
<gadget id="calculator">16_298 + 5_399</gadget>
<output>21_697</output>
<gadget id="calculator">21_697 + 6_124</gadget>
<output>27_821</output>
<gadget id="calculator">32_400 - 27_821</gadget>
<output>4_579</output>
<result>B</result> | B | 4,579 | A grocer has a sale of Rs. 5124, Rs. 5366, Rs. 5808, Rs. 5399 and Rs. 6124 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 5400? | {
"A": "4079",
"B": "4579",
"C": "5579",
"D": "5679",
"E": "5779"
} | subtract(multiply(add(5, const_1), 5400), add(add(add(add(5124, 5366), 5808), 5399), 6124)) | add(n5,const_1)|add(n0,n1)|add(n2,#1)|multiply(n6,#0)|add(n3,#2)|add(n4,#4)|subtract(#3,#5)| | "total sale for 5 months = rs . ( 5124 + 5366 + 5808 + 5399 + 6124 ) = rs . 27821 . required sale = rs . [ ( 5400 x 6 ) - 27821 ] = rs . ( 32400 - 27821 ) = rs . 4579 . answer : b" | general |
math_qa__0DBlMsmwJkdSSRs4 | one bacterium splits into 8 bacteria of the next generation . but due to environment , only 50 % of one generation can produced the next generation . if the seventh generation number is 4096 million , what is the number in first generation ?
Pick: A) 1 million B) 2 million C) 4 million D) 8 million E) none of these | <gadget id="calculator">8 / 2</gadget>
<output>4</output>
<gadget id="calculator">8 - 2</gadget>
<output>6</output>
<gadget id="calculator">4 ** 6</gadget>
<output>4_096</output>
<gadget id="calculator">4_096 / 4_096</gadget>
<output>1</output>
<result>A</result> | A | 1 | one bacterium splits into 8 bacteria of the next generation . but due to environment , only 50 % of one generation can produced the next generation . if the seventh generation number is 4096 million , what is the number in first generation ? | {
"A": "1 million",
"B": "2 million",
"C": "4 million",
"D": "8 million",
"E": "none of these"
} | divide(power(divide(8, const_2), subtract(8, const_2)), power(divide(8, const_2), subtract(8, const_2))) | divide(n0,const_2)|subtract(n0,const_2)|power(#0,#1)|divide(#2,#2) | solution : let the number of bacteria in the 1 st generation be x , then number of bacteria in 2 nd , 3 rd , 4 th . . . . . generation would be 8 ( x / 2 ) , 8 ( 4 x / 2 ) , 8 ( 16 x / 2 ) . . . . and so on . as x , 4 x , 16 x , 64 x . . . . . it is in gp with common ratio 4 . hence , 7 th term of gp , x ( 4 ) 6 = 4096 or , x = 1 or 1 million . answer : option a | other |
math_qa__sCT4bTmsyU5m0LFl | Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/4, 1/3 and 5/8, respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem? Choose the correct choice from the following
A) 1 / 32 B) 7 / 8 C) 9 / 64 D) 5 / 64 E) 3 / 64 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/4) * (1/3)</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">1 - (5/8)</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(1/12) * (3/8)</gadget>
<output>1/32 = around 0.03125</output>
<result>A</result> | A | 0.03125 | Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/4, 1/3 and 5/8, respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem? | {
"A": "1 / 32",
"B": "7 / 8",
"C": "9 / 64",
"D": "5 / 64",
"E": "3 / 64"
} | multiply(multiply(divide(1, 4), divide(1, 3)), subtract(1, divide(5, 8))) | divide(n0,n1)|divide(n2,n3)|divide(n4,n5)|multiply(#0,#1)|subtract(n0,#2)|multiply(#3,#4)| | "p ( xavier will solve ) = 1 / 4 p ( yvonne will solve ) = 1 / 2 p ( zelda will not solve ) = 1 - 5 / 8 = 3 / 8 . now , we need to multiply all this ps to find an answer : p = ( 1 / 4 ) * ( 1 / 3 ) * ( 3 / 8 ) = 1 / 32 . ans . a ." | general |
math_qa__FpbQsJpwvri4fpcm | A walks at 10 kmph and 5 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A?
Pick:
A) 100 km B) 150 km C) 50 km D) 120 km E) 200 km | <gadget id="calculator">5 * 20</gadget>
<output>100</output>
<result>A</result> | A | 100 | A walks at 10 kmph and 5 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A? | {
"A": "100 km",
"B": "150 km",
"C": "50 km",
"D": "120 km",
"E": "200 km"
} | multiply(5, 20) | multiply(n1,n2)| | "suppose after x km from the start b catches up with a . then , the difference in the time taken by a to cover x km and that taken by b to cover x km is 5 hours . x / 10 - x / 20 = 5 x = 100 km answer is a" | physics |
math_qa__1xTB3PD3yuceIO4w | Evaluate :
28% of 400 + 45 % of 250 Choose the most appropriate option:
A) 220.3 B) 224.5 C) 190.3 D) 150 E) none of these | <gadget id="calculator">400 * 28</gadget>
<output>11_200</output>
<gadget id="calculator">11_200 / 100</gadget>
<output>112</output>
<gadget id="calculator">45 * 250</gadget>
<output>11_250</output>
<gadget id="calculator">11_250 / 100</gadget>
<output>225/2 = around 112.5</output>
<gadget id="calculator">112 + (225/2)</gadget>
<output>449/2 = around 224.5</output>
<result>B</result> | B | 224.5 | Evaluate :
28% of 400 + 45 % of 250 | {
"A": "220.3",
"B": "224.5",
"C": "190.3",
"D": "150",
"E": "none of these"
} | add(divide(multiply(400, 28), const_100), divide(multiply(45, 250), const_100)) | multiply(n0,n1)|multiply(n2,n3)|divide(#0,const_100)|divide(#1,const_100)|add(#2,#3) | explanation : 28 % of 400 + 45 % of 250 = ( 28 / 100 * 400 + 45 / 100 * 250 ) = ( 112 + 112.5 ) = 224.5 answer b | gain |
math_qa__XN1AqvtwwxkWvR8d | A rope of which a calf is tied is increased from 10 m to 20 m, how much additional grassy ground shall it graze? Choose the correct choice from the following.
A) 540 B) 128 C) 100 D) 942 E) 942.86 | <gadget id="calculator">20 ** 2</gadget>
<output>400</output>
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">400 - 100</gadget>
<output>300</output>
<gadget id="calculator">10 * 2</gadget>
<output>20</output>
<gadget id="calculator">20 + 2</gadget>
<output>22</output>
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">22 / 7</gadget>
<output>22/7 = around 3.142857</output>
<gadget id="calculator">300 * (22/7)</gadget>
<output>6_600/7 = around 942.857143</output>
<result>E</result> | E | 942.86 | A rope of which a calf is tied is increased from 10 m to 20 m, how much additional grassy ground shall it graze? | {
"A": "540",
"B": "128",
"C": "100",
"D": "942",
"E": "942.86"
} | multiply(subtract(power(20, const_2), power(10, const_2)), divide(add(multiply(10, const_2), const_2), add(const_4, const_3))) | add(const_3,const_4)|multiply(n0,const_2)|power(n1,const_2)|power(n0,const_2)|add(#1,const_2)|subtract(#2,#3)|divide(#4,#0)|multiply(#6,#5)| | "π ( 202 – 102 ) = 942.86 answer : e" | general |
math_qa__agifoHEBpsSocRPO | A man can row 8 kmph in still water. When the river is running at 1.8 kmph, it takes him 2 hour to row to a place and back. What is the total distance traveled by the man? Choose one.
A) 8.2 km B) 6.7 km C) 7.6 km D) 7.4 km E) 6.3 km | <gadget id="calculator">8 + 1.8</gadget>
<output>9.8</output>
<gadget id="calculator">8 - 1.8</gadget>
<output>6.2</output>
<gadget id="calculator">9.8 * 6.2</gadget>
<output>60.76</output>
<gadget id="calculator">9.8 + 6.2</gadget>
<output>16</output>
<gadget id="calculator">60.76 / 16</gadget>
<output>3.7975</output>
<gadget id="calculator">3.7975 * 2</gadget>
<output>7.595</output>
<result>C</result> | C | 7.6 | A man can row 8 kmph in still water. When the river is running at 1.8 kmph, it takes him 2 hour to row to a place and back. What is the total distance traveled by the man? | {
"A": "8.2 km",
"B": "6.7 km",
"C": "7.6 km",
"D": "7.4 km",
"E": "6.3 km"
} | multiply(divide(multiply(add(8, 1.8), subtract(8, 1.8)), add(add(8, 1.8), subtract(8, 1.8))), const_2) | add(n0,n1)|subtract(n0,n1)|add(#0,#1)|multiply(#0,#1)|divide(#3,#2)|multiply(#4,const_2)| | "m = 8 s = 1.8 ds = 9.8 us = 6.2 x / 9.8 + x / 6.2 = 1 x = 3.8 d = 2.88 * 2 = 7.6 answer : c" | physics |
math_qa__E7Ig7E3zqgfbOgXG | A cube of side 5cm is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted?
Choose the correct choice
A) 9 B) 61 C) 98 D) 54 E) 64 | <gadget id="calculator">6 * (5 ** 2)</gadget>
<output>150</output>
<gadget id="calculator">150 / 3</gadget>
<output>50</output>
<gadget id="calculator">50 + 4</gadget>
<output>54</output>
<result>D</result> | D | 54 | A cube of side 5cm is painted on all its side. If it is sliced into 1 cubic centimer cubes, how many 1 cubic centimeter cubes will have exactly one of their sides painted? | {
"A": "9",
"B": "61",
"C": "98",
"D": "54",
"E": "64"
} | add(divide(surface_cube(5), const_3), const_4) | surface_cube(n0)|divide(#0,const_3)|add(#1,const_4) | explanatory answer when a 5 cc cube is sliced into 1 cc cubes , we will get 5 * 5 * 5 = 125 cubes of 1 cubic centimeter . in each side of the larger cube , the smaller cubes on the edges will have more than one of their sides painted . therefore , the cubes which are not on the edge of the larger cube and that lie on the facing sides of the larger cube will have exactly one side painted . in each face of the larger cube , there will be 5 * 5 = 25 cubes . of these , the cubes on the outer rows will be on the edge . 16 such cubes exist on each face . if we count out the two outer rows on either side of a face of the cube , we will be left with 3 * 3 = 9 cubes which are not on the edge in each face of the cube . therefore , there will be 9 cubes of 1 - cc volume per face that will have exactly one of their sides painted . in total , there will be 9 * 6 = 54 such cubes . choice d is the correct answer . | physics |
math_qa__G4iUiTfUyofFbspY | If m = 3^n, what is the greatest value of n for which m is a factor of 25! Choose the correct choice from the following answers
A) 8 B) 10 C) 12 D) 14 E) 16 | <gadget id="calculator">25 / 3</gadget>
<output>25/3 = around 8.333333</output>
<gadget id="calculator">floor(25/3)</gadget>
<output>8</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">25 / 9</gadget>
<output>25/9 = around 2.777778</output>
<gadget id="calculator">floor(25/9)</gadget>
<output>2</output>
<gadget id="calculator">8 + 2</gadget>
<output>10</output>
<result>B</result> | B | 10 | If m = 3^n, what is the greatest value of n for which m is a factor of 25! | {
"A": "8",
"B": "10",
"C": "12",
"D": "14",
"E": "16"
} | add(floor(divide(25, 3)), floor(divide(25, power(3, const_2)))) | divide(n1,n0)|power(n0,const_2)|divide(n1,#1)|floor(#0)|floor(#2)|add(#3,#4)| | "we should find the highest power of 3 in 25 ! : 25 / 3 + 25 / 3 ^ 2 = 8 + 2 = 10 ( take only the quotient into account ) . . so the highest power of 3 in 25 ! is 10 . answer : b ." | other |
math_qa__dwGGjEbDaYOzKlWl | How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Choose one:
A) 25
B) 30
C) 40
D) 45
E) 55 | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">63 - 3</gadget>
<output>60</output>
<gadget id="calculator">(5/18) * 60</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">500 / (50/3)</gadget>
<output>30</output>
<result>B</result> | B | 30 | How many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? | {
"A": "25",
"B": "30",
"C": "40",
"D": "45",
"E": "55"
} | divide(500, multiply(const_0_2778, subtract(63, 3))) | subtract(n2,n1)|multiply(#0,const_0_2778)|divide(n0,#1)| | "solution speed of train relative to man = ( 63 - 3 ) km / hr = 60 km / hr = ( 60 x 5 / 18 ) m / sec = 50 / 3 m / sec time taken to pass the man = ( 500 x 3 / 50 ) sec = 30 sec answer b" | physics |
math_qa__ObbzJXsYujkyNoFn | If 5<x<8<y<13, then what is the greatest possible positive integer difference of x and y?
Answers:
A) 3
B) 4
C) 5
D) 6
E) 7 | <gadget id="calculator">13 - 5</gadget>
<output>8</output>
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<result>E</result> | E | 7 | If 5<x<8<y<13, then what is the greatest possible positive integer difference of x and y? | {
"A": "3",
"B": "4",
"C": "5",
"D": "6",
"E": "7"
} | subtract(subtract(13, 5), const_1) | subtract(n2,n0)|subtract(#0,const_1)| | "let x = 5.1 and y = 12.1 greatest possible difference = 12.1 - 5.1 = 7 answer e" | general |
math_qa__6v98CkC5R3XEZsuX | In a garden, 26 trees are planted at equal distances along a yard 500 metres long, one tree being at each end of the yard. What is the distance between two consecutive trees? Choose the correct choice from the following answers: A) 20 B) 8 C) 12 D) 14 E) 16 | <gadget id="calculator">26 - 1</gadget>
<output>25</output>
<gadget id="calculator">500 / 25</gadget>
<output>20</output>
<result>A</result> | A | 20 | In a garden, 26 trees are planted at equal distances along a yard 500 metres long, one tree being at each end of the yard. What is the distance between two consecutive trees? | {
"A": "20",
"B": "8",
"C": "12",
"D": "14",
"E": "16"
} | divide(500, subtract(26, const_1)) | subtract(n0,const_1)|divide(n1,#0)| | "26 trees have 25 gaps between them . length of each gap = 500 / 25 = 20 i . e . , distance between two consecutive trees = 20 answer is a ." | physics |
math_qa__fE7prHUehIzp5P3z | A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is: Choose the correct choice from the following choices.
A) 5 % B) 10 % C) 7 % D) 8 % E) 9 % | <gadget id="calculator">5_000 * 2</gadget>
<output>10_000</output>
<gadget id="calculator">3_000 * 4</gadget>
<output>12_000</output>
<gadget id="calculator">10_000 + 12_000</gadget>
<output>22_000</output>
<gadget id="calculator">2_200 / 22_000</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) * 100</gadget>
<output>10</output>
<result>B</result> | B | 10 | A lent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is: | {
"A": "5 %",
"B": "10 %",
"C": "7 %",
"D": "8 %",
"E": "9 %"
} | multiply(divide(2200, add(multiply(5000, 2), multiply(3000, 4))), const_100) | multiply(n0,n1)|multiply(n2,n3)|add(#0,#1)|divide(n4,#2)|multiply(#3,const_100)| | "explanation : let the rate of interest per annum be r % simple interest for rs . 5000 for 2 years at rate r % per annum + simple interest for rs . 3000 for 4 years at rate r % per annum = rs . 2200 ⇒ 5000 × r × 2 / 100 + 3000 × r × 4 / 100 = 2200 ⇒ 100 r + 120 r = 2200 ⇒ 220 r = 2200 ⇒ r = 10 i . e , rate = 10 % . answer : option b" | gain |
math_qa__eMNp1bkp9gbktCT9 | 12+6=792
10+2=110
1+9=9
2+7=16
11+4=??
Solve it? Choose the correct choice: A) 100 B) 120 C) 190 D) 160 E) 154 | <gadget id="calculator">11 + 4</gadget>
<output>15</output>
<gadget id="calculator">15 * 10</gadget>
<output>150</output>
<gadget id="calculator">150 + 4</gadget>
<output>154</output>
<result>E</result> | E | 154 | 12+6=792
10+2=110
1+9=9
2+7=16
11+4=??
Solve it? | {
"A": "100",
"B": "120",
"C": "190",
"D": "160",
"E": "154"
} | add(multiply(add(11, 4), 10), 4) | add(n12,n13)|multiply(n3,#0)|add(n13,#1) | x + y = x [ y + ( x - 1 ) ] = x ^ 2 + xy - x 12 + 6 = 12 [ 6 + ( 12 - 1 ) ] = 792 10 + 2 = 10 [ 2 + ( 10 - 1 ) ] = 110 1 + 9 = 1 [ 9 + ( 1 - 1 ) ] = 9 2 + 7 = 2 [ 7 + ( 2 - 1 ) ] = 16 11 + 4 = 11 [ 4 + ( 11 - 1 ) ] = 154 answer : e | general |
math_qa__J2yXsH4EnBveWedf | at a certain high school , the senior class is 3 times the size of the junior class . if 1 / 3 of the seniors and 3 / 4 of the juniors study japanese , what fraction of the students in both classes study japanese ? Select.
A) 1 / 2
B) 3 / 8
C) 5 / 16
D) 1 / 4
E) 7 / 16 | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 + (3/4)</gadget>
<output>7/4 = around 1.75</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">(7/4) / 4</gadget>
<output>7/16 = around 0.4375</output>
<result>E</result> | E | 0.4375 | at a certain high school , the senior class is 3 times the size of the junior class . if 1 / 3 of the seniors and 3 / 4 of the juniors study japanese , what fraction of the students in both classes study japanese ? | {
"A": "1 / 2",
"B": "3 / 8",
"C": "5 / 16",
"D": "1 / 4",
"E": "7 / 16"
} | divide(add(const_1, divide(3, 4)), add(3, 1)) | add(n0,n1)|divide(n0,n4)|add(#1,const_1)|divide(#2,#0) | start by deciding on a number of students to represent the number of students in the senior class . for this example i will choose 300 students . that would make the number of students in the junior class 100 . then we can find out how many students are taking japanese in each grade and add them together . ( 1 / 3 ) * 300 = 100 and ( 3 / 4 ) * 100 = 75 . 100 + 75 = 175 . there are a total of 400 students in the junior class and senior class combined ( 100 + 300 = 300 ) , and there are 175 total students in japanese , so 175 students in japanese / 400 total students equals 7 / 16 of the students in both classes that study japanese . answer : e | general |
math_qa__qq7ecXZN8E9OzGbA | A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . How many feet does the squirrel travels if the post is 12 feet tall and 3 feet in circumference?
Choose one
A) 9 feet B) 12 feet C) 13 feet D) 15 feet E) 18 feet | <gadget id="calculator">12 / 4</gadget>
<output>3</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<result>A</result> | A | 9 | A squirrel runs up a cylindrical post , in a perfect spiral path making one circuit for each rise of 4 feet . How many feet does the squirrel travels if the post is 12 feet tall and 3 feet in circumference? | {
"A": "9 feet",
"B": "12 feet",
"C": "13 feet",
"D": "15 feet",
"E": "18 feet"
} | multiply(divide(12, 4), 3) | divide(n1,n0)|multiply(n2,#0)| | "total circuit = 12 / 4 = 3 total feet squirrel travels = 3 * 3 = 9 feet answer : a" | geometry |
math_qa__B6c5BsYnN5yKKYST | The least number which when increased by 7 each divisible by each one of 24, 32, 36 and 54 is : Choose the correct option
A) 857
B) 859
C) 869
D) 4320
E) none of these | <gadget id="calculator">lcm(24, 32)</gadget>
<output>96</output>
<gadget id="calculator">lcm(96, 36)</gadget>
<output>288</output>
<gadget id="calculator">lcm(288, 54)</gadget>
<output>864</output>
<gadget id="calculator">864 - 7</gadget>
<output>857</output>
<result>A</result> | A | 857 | The least number which when increased by 7 each divisible by each one of 24, 32, 36 and 54 is : | {
"A": "857",
"B": "859",
"C": "869",
"D": "4320",
"E": "none of these"
} | subtract(lcm(lcm(lcm(24, 32), 36), 54), 7) | lcm(n1,n2)|lcm(n3,#0)|lcm(n4,#1)|subtract(#2,n0)| | "solution required number = ( l . c . m . of 24 , 32 , 36 , 54 ) - 7 = 864 - 7 = 857 . answer a" | general |
math_qa__9cTV1z3sYwQuHNQc | What is the area of a square field whose diagonal of length 12 m? Select
A) 288
B) 72
C) 200
D) 112
E) 178 | <gadget id="calculator">12 ** 2</gadget>
<output>144</output>
<gadget id="calculator">144 / 2</gadget>
<output>72</output>
<result>B</result> | B | 72 | What is the area of a square field whose diagonal of length 12 m? | {
"A": "288",
"B": "72",
"C": "200",
"D": "112",
"E": "178"
} | divide(square_area(12), const_2) | square_area(n0)|divide(#0,const_2)| | "d 2 / 2 = ( 12 * 12 ) / 2 = 72 answer : b" | geometry |
math_qa__hj1aVEgFyYjS47A9 | At a contest with 3,500 participants, 1/2 of the people are aged 18 to 22. Next year, the number of people aged 18 to 22 will increase by 1/7. After this change, what percentage of the total 3,500 people will the 18- to 22-year-olds represent? Select: A) 33 % B) 40 % C) 55 % D) 57.14 % E) 66.14 % | <gadget id="calculator">3_500 / 2</gadget>
<output>1_750</output>
<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">1 + (1/7)</gadget>
<output>8/7 = around 1.142857</output>
<gadget id="calculator">1_750 * (8/7)</gadget>
<output>2_000</output>
<gadget id="calculator">2_000 / 3_500</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">(4/7) * 100</gadget>
<output>400/7 = around 57.142857</output>
<result>D</result> | D | 57.14 | At a contest with 3,500 participants, 1/2 of the people are aged 18 to 22. Next year, the number of people aged 18 to 22 will increase by 1/7. After this change, what percentage of the total 3,500 people will the 18- to 22-year-olds represent? | {
"A": "33 %",
"B": "40 %",
"C": "55 %",
"D": "57.14 %",
"E": "66.14 %"
} | multiply(divide(multiply(divide(3,500, 2), add(1, divide(1, 7))), 3,500), const_100) | divide(n1,n8)|divide(n0,n2)|add(#0,n1)|multiply(#2,#1)|divide(#3,n0)|multiply(#4,const_100)| | "i just wanted to mention a couple of things here : * this is a pure ratio question ; the number 3,500 is completely irrelevant , and you can ignore it if you like . when we increase something by 1 / 7 , we are multiplying it by 1 + 1 / 7 = 8 / 7 , so the answer here must be ( 1 / 2 ) * ( 8 / 7 ) = 4 / 7 = 57.14 % . answer : d" | general |
math_qa__6UfQIyqiTCL2qiLJ | A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes jerry can make using this recipe? Choices:
A) 5 B) 6 C) 7 D) 8 E) 9 | <gadget id="calculator">1 / 2</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">15 / (5/2)</gadget>
<output>6</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) + 2</gadget>
<output>11/4 = around 2.75</output>
<gadget id="calculator">16 / (11/4)</gadget>
<output>64/11 = around 5.818182</output>
<gadget id="calculator">floor(64/11)</gadget>
<output>5</output>
<gadget id="calculator">min(6, 5)</gadget>
<output>5</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) + 1</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">8 / (4/3)</gadget>
<output>6</output>
<gadget id="calculator">min(5, 6)</gadget>
<output>5</output>
<result>A</result> | A | 5 | A recipe requires 2 1/2 (mixed number) cups of flour 2 3/4 (mixed number) cups of sugar and 1 1/3 (mixed number) cups of milk to make one cake. Victor has 15 cups if flour, 16 cups of sugar and 8 cups of milk. What is the greatest number of cakes jerry can make using this recipe? | {
"A": "5",
"B": "6",
"C": "7",
"D": "8",
"E": "9"
} | min(min(divide(15, add(2, divide(1, 2))), floor(divide(16, add(divide(3, 4), 2)))), divide(8, add(divide(1, 3), 1))) | divide(n1,n4)|divide(n1,n0)|divide(n4,n5)|add(n1,#0)|add(n0,#1)|add(n0,#2)|divide(n11,#3)|divide(n9,#4)|divide(n10,#5)|floor(#8)|min(#7,#9)|min(#6,#10)| | "less work up front : go through each item and see what the greatest number of cakes you can make with each . the lowest of these will be the right answer . flour : 15 cups , we need 2.5 cups each . just keep going up the line to see how many cakes we can make : that means i can make 2 cakes with 5 cups , so 6 cakes overall with 15 cups . i ' ve already got the answer narrowed to either a or b . sugar : 16 cups , we need 2.75 cups each . same principle . i can make 2 cups with 5.5 cups , so to make 6 cakes i ' d need 16.5 cups . i do n ' t have that much sugar , so we ' re limited to 5 cakes . no need to even do milk because we ' re already at 5 . sugar will be the limiting factor . answer is a" | general |
math_qa__EUp0MQINQK923woZ | Daniel went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? Choose the correct choice from the following options: A) 19.7 B) 20 C) 21.3 D) 21.5 E) 22 | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">25 - (3/10)</gadget>
<output>247/10 = around 24.7</output>
<gadget id="calculator">30 / 6</gadget>
<output>5</output>
<gadget id="calculator">(247/10) - 5</gadget>
<output>197/10 = around 19.7</output>
<result>A</result> | A | 19.7 | Daniel went to a shop and bought things worth Rs. 25, out of which 30 Paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items? | {
"A": "19.7",
"B": "20",
"C": "21.3",
"D": "21.5",
"E": "22"
} | subtract(subtract(25, divide(30, const_100)), divide(30, 6)) | divide(n1,const_100)|divide(n1,n2)|subtract(n0,#0)|subtract(#2,#1)| | "total cost of the items he purchased = rs . 25 given that out of this rs . 25 , 30 paise is given as tax = > total tax incurred = 30 paise = rs . 30 / 100 let the cost of the tax free items = x given that tax rate = 6 % ∴ ( 25 − 30 / 100 − x ) 6 / 100 = 30 / 100 ⇒ 6 ( 25 − 0.3 − x ) = 30 ⇒ ( 25 − 0.3 − x ) = 5 ⇒ x = 25 − 0.3 − 5 = 19.7 a" | gain |
math_qa__xA4UzSy1iTSr1qQu | The sum of the present age of Henry and Jill is 40. What is their present ages if 11 years ago Henry was twice the age of Jill? Pick.
A) and 27 B) and 24 C) and 23 D) and 29 E) of these | <gadget id="calculator">40 + 11</gadget>
<output>51</output>
<gadget id="calculator">51 / 3</gadget>
<output>17</output>
<gadget id="calculator">40 - 17</gadget>
<output>23</output>
<result>C</result> | C | 23 | The sum of the present age of Henry and Jill is 40. What is their present ages if 11 years ago Henry was twice the age of Jill? | {
"A": "and 27",
"B": "and 24",
"C": "and 23",
"D": "and 29",
"E": "of these"
} | subtract(40, divide(add(40, 11), const_3)) | add(n0,n1)|divide(#0,const_3)|subtract(n0,#1)| | "let the age of jill 11 years ago be x , age of henry be 2 x x + 11 + 2 x + 11 = 40 x = 6 present ages will be 17 and 23 answer : c" | general |
math_qa__HFcfTqDOuQHjD5B6 | A is half good a work man as B and together they finish a job in 18 days. In how many days working alone B finish the job? Choose the most appropriate option.
A) 23 B) 22 C) 27 D) 36 E) 48 | <gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">18 * (3/2)</gadget>
<output>27</output>
<result>C</result> | C | 27 | A is half good a work man as B and together they finish a job in 18 days. In how many days working alone B finish the job? | {
"A": "23",
"B": "22",
"C": "27",
"D": "36",
"E": "48"
} | multiply(18, divide(const_3, const_2)) | divide(const_3,const_2)|multiply(n0,#0)| | "c 27 wc = 1 : 2 2 x + x = 1 / 18 = > x = 1 / 54 2 x = 1 / 27 = > 27 days" | physics |
math_qa__yEj29THcF8beobP1 | The radius and height of a right circular cone are in the ratio 3 : 4. If its volume is 96∏ cm³, what is its slant height? Choose the correct choice: A) 8 cm B) 10 cm C) 12 cm D) 14 cm E) none | <gadget id="calculator">96 / 3</gadget>
<output>32</output>
<gadget id="calculator">32 / pi</gadget>
<output>32/pi = around 10.185916</output>
<result>B</result> | B | 10 | The radius and height of a right circular cone are in the ratio 3 : 4. If its volume is 96∏ cm³, what is its slant height? | {
"A": "8 cm",
"B": "10 cm",
"C": "12 cm",
"D": "14 cm",
"E": "none"
} | divide(divide(96, const_3), const_pi) | divide(n2,const_3)|divide(#0,const_pi) | sol . let the radius and the height of the cone be 3 x and 4 x respectively . then , 1 / 3 * ∏ * ( 3 x ) ² * 4 x = 96 ∏ ⇔ 36 x ³ = ( 96 * 3 ) ⇔ x ³ = [ 96 * 3 / 36 ] = 8 ⇔ x = 2 & ther 4 ; radius = 6 cm , height = 8 cm . slant height = √ 6 ² + 8 ² cm = √ 100 cm = 10 cm . answer b | geometry |
math_qa__05F19e0XvxzYzLru | An engine moves at the speed of 60 kmph without any coaches attached to it.Speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached.When 4 coaches are attached speed decreases to 48 kmph.What will be the speed of train when 36 coaches are attached. Answers:
A) 24 B) 28 C) 20 D) 32 E) 40 | <gadget id="calculator">36 ** (1/2)</gadget>
<output>6</output>
<gadget id="calculator">60 - 48</gadget>
<output>12</output>
<gadget id="calculator">4 ** (1/2)</gadget>
<output>2</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">6 * 6</gadget>
<output>36</output>
<gadget id="calculator">60 - 36</gadget>
<output>24</output>
<result>A</result> | A | 24 | An engine moves at the speed of 60 kmph without any coaches attached to it.Speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached.When 4 coaches are attached speed decreases to 48 kmph.What will be the speed of train when 36 coaches are attached. | {
"A": "24",
"B": "28",
"C": "20",
"D": "32",
"E": "40"
} | subtract(60, multiply(sqrt(36), divide(subtract(60, 48), sqrt(4)))) | sqrt(n1)|sqrt(n3)|subtract(n0,n2)|divide(#2,#0)|multiply(#3,#1)|subtract(n0,#4)| | "1 . no . of coaches = 4 sqr root = 2 speed decreases by 12 12 = k * 2 k = 6 no . of coaches = 36 swr root = 6 decrease = 6 * 6 = 36 new speed = 60 - 36 = 24 a" | physics |
math_qa__wN7aBdF928m8xVGv | You and your friend spent a total of $15 for lunch. Your friend spent $5 more than you. How much did your friend spend on their lunch? Choose the most appropriate option.
A) $ 9 B) $ 3 C) $ 4 D) $ 6 E) $ 10 | <gadget id="calculator">15 - 5</gadget>
<output>10</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">5 + 5</gadget>
<output>10</output>
<result>E</result> | E | 10 | You and your friend spent a total of $15 for lunch. Your friend spent $5 more than you. How much did your friend spend on their lunch? | {
"A": "$ 9",
"B": "$ 3",
"C": "$ 4",
"D": "$ 6",
"E": "$ 10"
} | add(divide(subtract(15, 5), const_2), 5) | subtract(n0,n1)|divide(#0,const_2)|add(n1,#1)| | "my lunch = l , my friends lunch = l + 5 ( l ) + ( l + 5 ) = 15 l + l + 5 - 5 = 15 - 5 2 l = 10 l = 5 my friends lunch l + 5 = 5 + 5 = $ 10 , the answer is e" | general |
math_qa__SSLrbxyCeuNqCYoI | The rear–most end of a 66 foot truck exits a 330 foot tunnel exactly 6 seconds after the front–most end of the truck entered the tunnel. If the truck traveled the entire tunnel at a uniform speed, what is the speed of the truck in miles per hour (1 mile = 5,280 feet)? Select the correct option.
A) 225 B) 90 C) 45 D) 37.5 E) 27 | <gadget id="calculator">330 + 66</gadget>
<output>396</output>
<gadget id="calculator">396 / 6</gadget>
<output>66</output>
<gadget id="calculator">66 * 3_600</gadget>
<output>237_600</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">5 * 1_000</gadget>
<output>5_000</output>
<gadget id="calculator">3 * 100</gadget>
<output>300</output>
<gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">300 - 20</gadget>
<output>280</output>
<gadget id="calculator">5_000 + 280</gadget>
<output>5_280</output>
<gadget id="calculator">237_600 / 5_280</gadget>
<output>45</output>
<result>C</result> | C | 45 | The rear–most end of a 66 foot truck exits a 330 foot tunnel exactly 6 seconds after the front–most end of the truck entered the tunnel. If the truck traveled the entire tunnel at a uniform speed, what is the speed of the truck in miles per hour (1 mile = 5,280 feet)? | {
"A": "225",
"B": "90",
"C": "45",
"D": "37.5",
"E": "27"
} | divide(multiply(divide(add(330, 66), 6), const_3600), add(multiply(add(const_4, const_1), const_1000), subtract(multiply(const_3, const_100), multiply(const_2, const_10)))) | add(n0,n1)|add(const_1,const_4)|multiply(const_100,const_3)|multiply(const_10,const_2)|divide(#0,n2)|multiply(#1,const_1000)|subtract(#2,#3)|add(#5,#6)|multiply(#4,const_3600)|divide(#8,#7) | total length will be 330 + 66 = 396 time = 6 secs speed = 396 / 6 = 66 feet / sec conversion to miles per hour = 66 * 3600 / 5280 = 45 . answer c | physics |
math_qa__YFZ0RAL3K9Stjqj3 | The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 800 per sq. metre. Select the correct option:
A) rs . 15000
B) rs . 15550
C) rs . 15600
D) rs . 16500
E) none of these | <gadget id="calculator">5.5 * 3.75</gadget>
<output>20.625</output>
<gadget id="calculator">800 * 20.625</gadget>
<output>16_500</output>
<result>D</result> | D | 16,500 | The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 800 per sq. metre. | {
"A": "rs . 15000",
"B": "rs . 15550",
"C": "rs . 15600",
"D": "rs . 16500",
"E": "none of these"
} | multiply(800, multiply(5.5, 3.75)) | multiply(n0,n1)|multiply(n2,#0)| | "solution area of the floor = ( 5.5 × 3.75 ) m 2 = 20.625 m 2 ∴ cost of paving = rs . ( 800 × 20.625 ) = 16500 . answer d" | physics |
math_qa__NFm1rW6hqY7uic3Z | 2 men and 2 women are lined up in a row. What is the number of cases where they stand with each other in turn? (The number of cases in which men (or women) do not stand next to each other) Choose the most appropriate option: A) 4 B) 15 C) 18 D) 21 E) 24 | <gadget id="calculator">factorial(2)</gadget>
<output>2</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<result>A</result> | A | 4 | 2 men and 2 women are lined up in a row. What is the number of cases where they stand with each other in turn? (The number of cases in which men (or women) do not stand next to each other) | {
"A": "4",
"B": "15",
"C": "18",
"D": "21",
"E": "24"
} | multiply(factorial(2), factorial(2)) | factorial(n0)|factorial(n1)|multiply(#0,#1)| | the list should be wmwmw . hence , from women 2 ! and men 2 ! , we get ( 2 ! ) ( 2 ! ) = 4 . therefore , the correct answer is a . | general |
math_qa__KFpSy5uelCKmVvz5 | How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 70 m long and 16 1/2 m board? Select: A) 99 B) 18 C) 16 D) 10 E) 231 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">16 + (1/2)</gadget>
<output>33/2 = around 16.5</output>
<gadget id="calculator">70 * (33/2)</gadget>
<output>1_155</output>
<gadget id="calculator">2 + (1/2)</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">(5/2) * 2</gadget>
<output>5</output>
<gadget id="calculator">1_155 / 5</gadget>
<output>231</output>
<result>E</result> | E | 231 | How many paying stones, each measuring 2 1/2 m * 2 m are required to pave a rectangular court yard 70 m long and 16 1/2 m board? | {
"A": "99",
"B": "18",
"C": "16",
"D": "10",
"E": "231"
} | divide(multiply(70, add(16, divide(1, 2))), multiply(add(2, divide(1, 2)), 2)) | divide(n1,n0)|add(n5,#0)|add(n0,#0)|multiply(n4,#1)|multiply(n0,#2)|divide(#3,#4)| | "70 * 33 / 2 = 5 / 2 * 2 * x = > x = 231 answer : e" | general |
math_qa__9nkamXihP4tTSGbD | What is the rate percent when the simple interest on Rs.1200 amount to Rs.160 in 4 Years? Choices
A) 3.3 % B) 7 % C) 9 % D) 2 % E) 4 % | <gadget id="calculator">100 * 160</gadget>
<output>16_000</output>
<gadget id="calculator">1_200 * 4</gadget>
<output>4_800</output>
<gadget id="calculator">16_000 / 4_800</gadget>
<output>10/3 = around 3.333333</output>
<result>A</result> | A | 3.3 | What is the rate percent when the simple interest on Rs.1200 amount to Rs.160 in 4 Years? | {
"A": "3.3 %",
"B": "7 %",
"C": "9 %",
"D": "2 %",
"E": "4 %"
} | divide(multiply(const_100, 160), multiply(1200, 4)) | multiply(n1,const_100)|multiply(n0,n2)|divide(#0,#1)| | "160 = ( 1200 * 4 * r ) / 100 r = 3.3 % answer : a" | gain |
math_qa__61Id2zS0wTfLebfg | On a map, 1 inch represents 28 miles. How many inches would be necessary to represent a distance of 383.6 miles?
Options
A) 5.2 B) 7.4 C) 13.7 D) 21.2 E) 28.7 | <gadget id="calculator">383.6 / 28</gadget>
<output>13.7</output>
<result>C</result> | C | 13.7 | On a map, 1 inch represents 28 miles. How many inches would be necessary to represent a distance of 383.6 miles? | {
"A": "5.2",
"B": "7.4",
"C": "13.7",
"D": "21.2",
"E": "28.7"
} | divide(383.6, 28) | divide(n2,n1)| | "28 miles represented by 1 inch 1 mile represented by ( 1 / 28 ) inch 383.6 miles represented by ( 1 / 28 ) * 383.6 approximately = 14 we should use estimation here as the answer options are not close . ( 28 * 10 = 280 and 28 * 20 = 560 , hence we select the only option between 10 and 20 ) answer c" | physics |
math_qa__p9Mus6nt9HQN23mt | The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.5 years, The ratio of the number of boys to the number of girls in the class is Choose the correct choice from the following
A) 1 : 2
B) 2 : 3
C) 9 : 3
D) 6 : 3
E) 2 : 5 | <gadget id="calculator">15.8 - 15.5</gadget>
<output>0.3</output>
<gadget id="calculator">16.4 - 15.8</gadget>
<output>0.6</output>
<gadget id="calculator">0.3 / 0.6</gadget>
<output>0.5</output>
<result>A</result> | A | 0.5 | The average age of students of a class is 15.8 years. The average age of boys in the class is 16.4 years and that of the girls is 15.5 years, The ratio of the number of boys to the number of girls in the class is | {
"A": "1 : 2",
"B": "2 : 3",
"C": "9 : 3",
"D": "6 : 3",
"E": "2 : 5"
} | divide(subtract(15.8, 15.5), subtract(16.4, 15.8)) | subtract(n0,n2)|subtract(n1,n0)|divide(#0,#1)| | "explanation : let the ratio be k : 1 . then , k * 16.4 + 1 * 15.5 = ( k + 1 ) * 15.8 < = > ( 16.4 - 15.8 ) k = ( 15.8 - 15.5 ) < = > k = 0.3 / 0.6 = 1 / 2 . required ratio = 1 / 2 : 1 = 1 : 2 . answer : a" | general |
math_qa__8DpH4C3LD7U9GNrP | 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 3 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city?
Choose the correct choice from the following
A) 8 B) 16 C) 21 D) 22 E) 27 | <gadget id="calculator">462 - 336</gadget>
<output>126</output>
<gadget id="calculator">126 / 3</gadget>
<output>42</output>
<gadget id="calculator">336 / 42</gadget>
<output>8</output>
<result>A</result> | A | 8 | 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 3 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city? | {
"A": "8",
"B": "16",
"C": "21",
"D": "22",
"E": "27"
} | divide(336, divide(subtract(462, 336), 3)) | 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 - 3 ) x solve for r , r = 11 11 - 3 = 8 mpg a | physics |
math_qa__S02kXYHm64VbZjow | Solution for 3.15+.014+.458 Choose the correct choice from the following choices: A) 3.622 B) 3.911 C) 4.938 D) 2.986 E) 2.999 | <gadget id="calculator">14 / 1_000</gadget>
<output>7/500 = around 0.014</output>
<gadget id="calculator">3.15 + (7/500)</gadget>
<output>3.164</output>
<gadget id="calculator">458 / 1_000</gadget>
<output>229/500 = around 0.458</output>
<gadget id="calculator">3.164 + (229/500)</gadget>
<output>3.622</output>
<result>A</result> | A | 3.622 | Solution for 3.15+.014+.458 | {
"A": "3.622",
"B": "3.911",
"C": "4.938",
"D": "2.986",
"E": "2.999"
} | add(add(3.15, divide(014, const_1000)), divide(458, const_1000)) | divide(n1,const_1000)|divide(n2,const_1000)|add(n0,#0)|add(#2,#1)| | "3.15 + . 014 + . 458 = 0 0 = 0 - 3.15 - 0.014 - 0.458 0 = - 3.622 answer : a" | general |
math_qa__VRh7z4JU0vKwjhKN | A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400. Pick:
A) 2997
B) 1900
C) 2887
D) 2898
E) 27912 | <gadget id="calculator">5 * 7_400</gadget>
<output>37_000</output>
<gadget id="calculator">37_000 / 100</gadget>
<output>370</output>
<gadget id="calculator">7_400 - 370</gadget>
<output>7_030</output>
<gadget id="calculator">10_000 * 3</gadget>
<output>30_000</output>
<gadget id="calculator">7_030 * 30_000</gadget>
<output>210_900_000</output>
<gadget id="calculator">6_500 * 6</gadget>
<output>39_000</output>
<gadget id="calculator">8_400 * 5</gadget>
<output>42_000</output>
<gadget id="calculator">39_000 + 42_000</gadget>
<output>81_000</output>
<gadget id="calculator">81_000 + 30_000</gadget>
<output>111_000</output>
<gadget id="calculator">210_900_000 / 111_000</gadget>
<output>1_900</output>
<result>B</result> | B | 1,900 | A, B and C are entered into a partnership. A invested Rs.6500 for 6 months, B invested Rs.8400 for 5 months and C invested for Rs.10000 for 3 months. A is a working partner and gets 5% of the total profit for the same. Find the share of C in a total profit of Rs.7400. | {
"A": "2997",
"B": "1900",
"C": "2887",
"D": "2898",
"E": "27912"
} | divide(multiply(subtract(7400, divide(multiply(5, 7400), const_100)), multiply(10000, 3)), add(add(multiply(6500, 6), multiply(8400, 5)), multiply(10000, 3))) | multiply(n4,n5)|multiply(n3,n7)|multiply(n0,n1)|multiply(n2,n3)|add(#2,#3)|divide(#1,const_100)|add(#4,#0)|subtract(n7,#5)|multiply(#0,#7)|divide(#8,#6)| | "65 * 6 : 84 * 5 : 100 * 3 26 : 28 : 20 c share = 74000 * 95 / 100 = 7030 * 20 / 74 = > 1900 . answer : b" | gain |
math_qa__9flh3hoP3HDFUYxM | if 60% of (x-y) = 30% of (x+y) then what percent of x is y? Pick one
A) 33 % B) 10 % C) 5 % D) 15 % E) 25 % | <gadget id="calculator">60 - 30</gadget>
<output>30</output>
<gadget id="calculator">60 + 30</gadget>
<output>90</output>
<gadget id="calculator">30 / 90</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * 100</gadget>
<output>100/3 = around 33.333333</output>
<result>A</result> | A | 33 | if 60% of (x-y) = 30% of (x+y) then what percent of x is y? | {
"A": "33 %",
"B": "10 %",
"C": "5 %",
"D": "15 %",
"E": "25 %"
} | multiply(divide(subtract(60, 30), add(60, 30)), const_100) | add(n0,n1)|subtract(n0,n1)|divide(#1,#0)|multiply(#2,const_100)| | "60 % of ( x - y ) = 30 % of ( x + y ) ( 60 / 100 ) ( x - y ) = ( 30 / 100 ) ( x + y ) 6 ( x - y ) = 3 ( x + y ) 3 x = 9 y x = 3 y therefore required percentage = ( ( y / x ) x 100 ) % = ( ( y / 3 y ) x 100 ) = 33 % answer is a ." | general |
math_qa__RmzQNOg2fgBQYnKh | Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 10 days. If B starts, they take a day more. How long does it take to complete the task if they both work together?
Choose the correct option.
A) 5
B) 4.5
C) 6
D) 7
E) 8 | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/9) + (1/12)</gadget>
<output>7/36 = around 0.194444</output>
<gadget id="calculator">1 / (7/36)</gadget>
<output>36/7 = around 5.142857</output>
<result>A</result> | A | 5 | Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 10 days. If B starts, they take a day more. How long does it take to complete the task if they both work together? | {
"A": "5",
"B": "4.5",
"C": "6",
"D": "7",
"E": "8"
} | inverse(add(inverse(subtract(10, const_1)), inverse(add(10, 2)))) | add(n0,n1)|subtract(n1,const_1)|inverse(#1)|inverse(#0)|add(#2,#3)|inverse(#4) | work done by a & b in a day = x & y respectively . when a starts : no . of days when a works = 6 no . of days when b works = 4 → 6 x + 4 y = 1 when b starts : no . of days when b works = 5 no . of days when a works = 5 → 5 x + 5 y = 1 solving the above two equations for xy x = 1 / 10 y = 1 / 10 → total work done by ab in a day = 1 / 10 + 1 / 10 = 2 / 10 = 1 / 5 → no . of days to complete the work when both work together = 5 answer : a | physics |
math_qa__1IYs6ELkU6kAMSw4 | A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many Q ways can the test be completed if every question is unanswered? Choose the correct choice from the following answers.
A) 24 B) 120 C) 625 D) 720 E) 1024 | <gadget id="calculator">5 ** 4</gadget>
<output>625</output>
<result>C</result> | C | 625 | A multiple choice test consists of 4 questions, and each question has 5 answer choices. In how many Q ways can the test be completed if every question is unanswered? | {
"A": "24",
"B": "120",
"C": "625",
"D": "720",
"E": "1024"
} | power(5, 4) | power(n1,n0) | 5 choices for each of the 4 questions , thus total q of 5 * 5 * 5 * 5 = 5 ^ 4 = 625 ways to answer all of them . answer : c . | general |
math_qa__A4lNNiS1oQIvaBL9 | At a speed of 60 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. If the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 60 miles per hour, the amount of gasoline used would be what fraction of a full tank? Choose the correct choice from the following options
A) 3 / 25 B) 11 / 36 C) 7 / 12 D) 2 / 3 E) 5 / 6 | <gadget id="calculator">60 * 5</gadget>
<output>300</output>
<gadget id="calculator">300 / 30</gadget>
<output>10</output>
<gadget id="calculator">10 / 12</gadget>
<output>5/6 = around 0.833333</output>
<result>E</result> | E | 0.833333 | At a speed of 60 miles per hour, a certain car uses 1 gallon of gasoline every 30 miles. If the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 60 miles per hour, the amount of gasoline used would be what fraction of a full tank? | {
"A": "3 / 25",
"B": "11 / 36",
"C": "7 / 12",
"D": "2 / 3",
"E": "5 / 6"
} | divide(divide(multiply(60, 5), 30), 12) | multiply(n0,n4)|divide(#0,n2)|divide(#1,n3)| | "gas used = ( 5 hours ) * ( 60 miles / hour ) * ( 1 gallon / 30 miles ) = 10 gallons portion used = ( 10 ) / 12 = 5 / 6 ans e" | physics |
math_qa__Fvyql2aFbqM2vdKQ | On a map, 2 inches represent 30 miles. How many miles approximately is the distance if you measured 38 centimeters assuming that 1-inch is 2.54 centimeters? Choose the correct option: A) 226 B) 228 C) 230 D) 224 E) 232 | <gadget id="calculator">38 / 2.54</gadget>
<output>14.96063</output>
<gadget id="calculator">30 / 2</gadget>
<output>15</output>
<gadget id="calculator">14.96063 * 15</gadget>
<output>224.40945</output>
<result>D</result> | D | 224 | On a map, 2 inches represent 30 miles. How many miles approximately is the distance if you measured 38 centimeters assuming that 1-inch is 2.54 centimeters? | {
"A": "226",
"B": "228",
"C": "230",
"D": "224",
"E": "232"
} | multiply(divide(38, 2.54), divide(30, 2)) | divide(n2,n4)|divide(n1,n0)|multiply(#0,#1)| | "1 inch = 2.54 cm 2 inch = 2.54 * 2 cm 5.08 cm = 30 miles 38 cms = 30 / 5.08 * 38 = 224 miles answer : d" | physics |
math_qa__qFN98spC4JYHpBH2 | a is an integer greater than 49 but less than 61, b is an integer greater than 59 but less than 71, what is the range of a/b? Options
A) 2 / 7
B) 1 / 2
C) 3 / 4
D) 1
E) 5 / 4 | <gadget id="calculator">61 - 1</gadget>
<output>60</output>
<gadget id="calculator">59 + 1</gadget>
<output>60</output>
<gadget id="calculator">60 / 60</gadget>
<output>1</output>
<gadget id="calculator">49 + 1</gadget>
<output>50</output>
<gadget id="calculator">71 - 1</gadget>
<output>70</output>
<gadget id="calculator">50 / 70</gadget>
<output>5/7 = around 0.714286</output>
<gadget id="calculator">1 - (5/7)</gadget>
<output>2/7 = around 0.285714</output>
<result>A</result> | A | 0.285714 | a is an integer greater than 49 but less than 61, b is an integer greater than 59 but less than 71, what is the range of a/b? | {
"A": "2 / 7",
"B": "1 / 2",
"C": "3 / 4",
"D": "1",
"E": "5 / 4"
} | subtract(divide(subtract(61, const_1), add(59, const_1)), divide(add(49, const_1), subtract(71, const_1))) | add(n2,const_1)|add(n0,const_1)|subtract(n1,const_1)|subtract(n3,const_1)|divide(#2,#0)|divide(#1,#3)|subtract(#4,#5)| | "min value of a / b will be when b is highest and a is lowest - - - > a = 50 and b = 70 so , a / b = 5 / 7 max value of a / b will be when b is lowest and a is highest - - - > a = 60 and b = 60 so , a / b = 1 range is 1 - ( 5 / 7 ) = 2 / 7 . answer should be a ." | general |
math_qa__COV85J13viAFKQoI | Find the value of X, Y by solving the below equations
X + Y = 15
X - Y = 5 Choose the correct choice from the following answers
A) 10 , 5 B) 8 , 7 C) 9 , 6 D) 11 , 4 E) 12 , 3 | <gadget id="calculator">15 - 5</gadget>
<output>10</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<result>A</result> | A | 10 | Find the value of X, Y by solving the below equations
X + Y = 15
X - Y = 5 | {
"A": "10 , 5",
"B": "8 , 7",
"C": "9 , 6",
"D": "11 , 4",
"E": "12 , 3"
} | subtract(15, divide(subtract(15, 5), const_2)) | subtract(n0,n1)|divide(#0,const_2)|subtract(n0,#1) | x + y = 15 - - - ( i ) x - y = 5 - - - - - ( ii ) by adding ( i ) and ( ii ) - - - - - - - - - - - - 2 x = 20 = = > x = 20 / 2 = 10 by replacing the value of x in ( i ) we get 10 + y = 15 = = > y = 15 - 10 = 5 . so , x = 10 , y = 5 answer a ) 10 , 5 | general |
math_qa__ABuf9dCxDDEVWVaT | In a urban village of india named "owlna" , 90% people have refrigerator , 86% people have television , 80% people got computers and 80% got Air-conditionor. how many people(minimum) got all these luxury. Choose the correct choice
A) 23 % B) 36 % C) 30 % D) 34 % E) 42 % | <gadget id="calculator">100 - 90</gadget>
<output>10</output>
<gadget id="calculator">100 - 86</gadget>
<output>14</output>
<gadget id="calculator">10 + 14</gadget>
<output>24</output>
<gadget id="calculator">100 - 80</gadget>
<output>20</output>
<gadget id="calculator">24 + 20</gadget>
<output>44</output>
<gadget id="calculator">44 + 20</gadget>
<output>64</output>
<gadget id="calculator">100 - 64</gadget>
<output>36</output>
<result>B</result> | B | 36 | In a urban village of india named "owlna" , 90% people have refrigerator , 86% people have television , 80% people got computers and 80% got Air-conditionor. how many people(minimum) got all these luxury. | {
"A": "23 %",
"B": "36 %",
"C": "30 %",
"D": "34 %",
"E": "42 %"
} | subtract(const_100, add(add(add(subtract(const_100, 90), subtract(const_100, 86)), subtract(const_100, 80)), subtract(const_100, 80))) | subtract(const_100,n0)|subtract(const_100,n1)|subtract(const_100,n2)|subtract(const_100,n3)|add(#0,#1)|add(#4,#2)|add(#5,#3)|subtract(const_100,#6)| | "b 10 % 100 - [ ( 100 - 90 ) + ( 100 - 86 ) + ( 100 - 80 ) + ( 100 - 80 ) ] = 100 - ( 10 + 14 + 20 + 20 ) = 100 - 64" | general |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.