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__c8eFWzshMXIpi4Cb | The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre
Choose the correct choice from the following options: A) 22488 B) 16500 C) 27889 D) 23778 E) 29982 | <gadget id="calculator">5.5 * 3.75</gadget>
<output>20.625</output>
<gadget id="calculator">800 * 20.625</gadget>
<output>16_500</output>
<result>B</result> | B | 16,500 | The length of a room is 5.5 m and width is 3.75 m. Find the cost of paying the floor by slabs at the rate of Rs. 800 per sq.metre | {
"A": "22488",
"B": "16500",
"C": "27889",
"D": "23778",
"E": "29982"
} | multiply(800, multiply(5.5, 3.75)) | multiply(n0,n1)|multiply(n2,#0)| | "explanation : area = 5.5 × 3.75 sq . metre . cost for 1 sq . metre . = rs . 800 hence total cost = 5.5 × 3.75 × 800 = 5.5 × 3000 = rs . 16500 answer : b ) rs . 16500" | physics |
math_qa__6jVU4hJLb3DJy20i | If the area of a circle decreases by 25%, then the radius of a circle decreases by
Select
A) 13 % B) 18 % C) 36 % D) 64 % E) none of these | <gadget id="calculator">100 - 25</gadget>
<output>75</output>
<gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) ** (1/2)</gadget>
<output>sqrt(3)/2 = around 0.866025</output>
<gadget id="calculator">1 - (sqrt(3)/2)</gadget>
<output>1 - sqrt(3)/2 = around 0.133... | A | 13 | If the area of a circle decreases by 25%, then the radius of a circle decreases by | {
"A": "13 %",
"B": "18 %",
"C": "36 %",
"D": "64 %",
"E": "none of these"
} | multiply(subtract(const_1, sqrt(divide(subtract(const_100, 25), const_100))), const_100) | subtract(const_100,n0)|divide(#0,const_100)|sqrt(#1)|subtract(const_1,#2)|multiply(#3,const_100)| | "if area of a circle decreased by x % then the radius of a circle decreases by ( 100 − 10 √ 100 − x ) % = ( 100 − 10 √ 100 − 25 ) % = ( 100 − 10 √ 75 ) % = 100 - 87 = 13 % answer a" | geometry |
math_qa__gK4ueSHRG54qWRQq | Alfred buys an old scooter for $4700 and spends $1000 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) 1.75 %
D) 8.12 %
E) 10 % | <gadget id="calculator">4_700 + 1_000</gadget>
<output>5_700</output>
<gadget id="calculator">5_800 - 5_700</gadget>
<output>100</output>
<gadget id="calculator">100 / 5_700</gadget>
<output>1/57 = around 0.017544</output>
<gadget id="calculator">(1/57) * 100</gadget>
<output>100/57 = around 1.754386</output>
<resu... | C | 1.75 | Alfred buys an old scooter for $4700 and spends $1000 on its repairs. If he sells the scooter for $5800, his gain percent is? | {
"A": "5.45 %",
"B": "6.23 %",
"C": "1.75 %",
"D": "8.12 %",
"E": "10 %"
} | multiply(divide(subtract(5800, add(4700, 1000)), add(4700, 1000)), const_100) | add(n0,n1)|subtract(n2,#0)|divide(#1,#0)|multiply(#2,const_100)| | "c . p . = 4700 + 1000 = $ 5700 s . p . = $ 5800 gain = 5800 - 5700 = $ 100 gain % = 100 / 5700 * 100 = 1.75 % answer is c" | gain |
math_qa__ugbXURdVl50O3lfL | how many e ways can jason sit with his 5 friends in a row of 6 seats with an aisle on either side of the row , if jason insists on sitting next to one of the aisles ?
Choose the correct choice.
A) 120 B) 240 C) 360 D) 540 E) 720 | <gadget id="calculator">factorial(5)</gadget>
<output>120</output>
<gadget id="calculator">120 * 2</gadget>
<output>240</output>
<result>B</result> | B | 240 | how many e ways can jason sit with his 5 friends in a row of 6 seats with an aisle on either side of the row , if jason insists on sitting next to one of the aisles ? | {
"A": "120",
"B": "240",
"C": "360",
"D": "540",
"E": "720"
} | multiply(factorial(5), const_2) | factorial(n0)|multiply(#0,const_2) | jason can select his seat in 2 ways ( two aisles ) his 1 st of 4 friends have 5 seats to select = > his 2 nd of remaining 3 friends will have 4 seat to chose from . . . and so on total ways e = > 2 * 5 * 4 * 3 * 2 * 1 = 240 . b | general |
math_qa__3AA9tko3yWNWQj52 | In the biology lab of "Jefferson" High School there are 0.037*10^5 germs, equally divided among 148000*10^(-3) Petri dishes. How many germs live happily in a single dish? Choose one
A) 10 B) 25 C) 35 D) 40 E) 55 | <gadget id="calculator">1_000 * 100</gadget>
<output>100_000</output>
<gadget id="calculator">100_000 * 0.037</gadget>
<output>3_700</output>
<gadget id="calculator">148_000 / 1_000</gadget>
<output>148</output>
<gadget id="calculator">3_700 / 148</gadget>
<output>25</output>
<result>B</result> | B | 25 | In the biology lab of "Jefferson" High School there are 0.037*10^5 germs, equally divided among 148000*10^(-3) Petri dishes. How many germs live happily in a single dish? | {
"A": "10",
"B": "25",
"C": "35",
"D": "40",
"E": "55"
} | divide(multiply(multiply(const_1000, const_100), 0.037), divide(148000, const_1000)) | divide(n3,const_1000)|multiply(const_100,const_1000)|multiply(n0,#1)|divide(#2,#0)| | "0.037 * 10 ^ 5 can be written as 3700 148000 * 10 ^ ( - 3 ) can be written as 148 required = 3700 / 148 = 25 answer : b" | general |
math_qa__kc4lrCFpiWS6kLnT | What is the average (arithmetic mean) of all multiples of 10 from 10 to 100 inclusive?
Choose the correct answer: A) 190 B) 195 C) 200 D) 205 E) 55 | <gadget id="calculator">10 + 100</gadget>
<output>110</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">90 / 10</gadget>
<output>9</output>
<gadget id="calculator">9 + 1</gadget>
<output>10</output>
<gadget id="calculator">110 * 10</gadget>
<output>1_100</output>
<gadge... | E | 55 | What is the average (arithmetic mean) of all multiples of 10 from 10 to 100 inclusive? | {
"A": "190",
"B": "195",
"C": "200",
"D": "205",
"E": "55"
} | divide(divide(multiply(add(10, 100), add(divide(subtract(100, 10), 10), const_1)), const_2), add(divide(subtract(100, 10), 10), const_1)) | add(n0,n2)|subtract(n2,n0)|divide(#1,n0)|add(#2,const_1)|multiply(#0,#3)|divide(#4,const_2)|divide(#5,#3)| | "this question can be solved with the average formula and ' bunching . ' we ' re asked for the average of all of the multiples of 10 from 10 to 100 , inclusive . to start , we can figure out the total number of terms rather easily : 1 ( 10 ) = 10 2 ( 10 ) = 20 . . . 10 ( 10 ) = 100 so we know that there are 10 total nu... | general |
math_qa__sOpQwyWEU5vKj7hw | A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 5 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled? Options: A) 7.5 B) 20 C) 30 D) 32 E) 40 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/4) - (1/5)</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 / (1/20)</gadget>
<output>20</output>
<result>B</result> | B | 20 | A cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 5 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled? | {
"A": "7.5",
"B": "20",
"C": "30",
"D": "32",
"E": "40"
} | divide(const_1, subtract(divide(const_1, 4), divide(const_1, 5))) | divide(const_1,n0)|divide(const_1,n1)|subtract(#0,#1)|divide(const_1,#2)| | "net part filled in 1 hour = ( 1 / 4 - 1 / 5 ) = 1 / 20 the cistern will be filled in 20 / 1 hrs i . e . , 20 hrs . answer : b" | physics |
math_qa__mPqWovcVNkPUKNT0 | What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 4? Pick: A) 123,750 B) 164,850 C) 164,749 D) 149,700 E) 156,720 | <gadget id="calculator">1_000 - 3</gadget>
<output>997</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">9 * 10</gadget>
<output>90</output>
<gadget id="calculator">90 + 9</gadget>
<output>99</output>
<gadget id="calculator">99 + 3</gadget>
<output>102</output>
<gadget id="... | A | 123,750 | What is the sum of all 3 digit numbers that leave a remainder of '2' when divided by 4? | {
"A": "123,750",
"B": "164,850",
"C": "164,749",
"D": "149,700",
"E": "156,720"
} | multiply(divide(add(divide(subtract(subtract(const_1000, 3), add(add(multiply(multiply(3, 3), const_10), multiply(3, 3)), 3)), 4), const_1), 2), add(subtract(const_1000, 3), add(add(multiply(multiply(3, 3), const_10), multiply(3, 3)), 3))) | multiply(n0,n0)|subtract(const_1000,n0)|multiply(#0,const_10)|add(#2,#0)|add(n0,#3)|add(#4,#1)|subtract(#1,#4)|divide(#6,n2)|add(#7,const_1)|divide(#8,n1)|multiply(#5,#9)| | "find the number , upon sum of 3 digits of a number gives a reminder 2 when it is divided by 4 seeing the options after dividing and finding the reminder of 2 my answer was a" | general |
math_qa__wD7H666i4f7bEDhx | In an election a candidate who gets 60% of the votes is elected by a majority of 1200 votes. What is the total number of votes polled? Choose the correct choice from the following
A) 4500
B) 5200
C) 6900
D) 7520
E) 6000 | <gadget id="calculator">100 - 60</gadget>
<output>40</output>
<gadget id="calculator">60 - 40</gadget>
<output>20</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1_200 / (1/5)</gadget>
<output>6_000</output>
<result>E</result> | E | 6,000 | In an election a candidate who gets 60% of the votes is elected by a majority of 1200 votes. What is the total number of votes polled? | {
"A": "4500",
"B": "5200",
"C": "6900",
"D": "7520",
"E": "6000"
} | divide(1200, divide(subtract(60, subtract(const_100, 60)), const_100)) | subtract(const_100,n0)|subtract(n0,#0)|divide(#1,const_100)|divide(n1,#2)| | "let the total number of votes polled be x then , votes polled by other candidate = ( 100 - 60 ) % of x = 40 % of x 60 % of x - 40 % of x = 1200 20 x / 100 = 1200 x = 1200 * 100 / 20 = 6000 answer is e" | gain |
math_qa__84RYzNCOi7vLBDyW | If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 5000 in a long term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of investment 18 years later, when Pat is r... | <gadget id="calculator">5_000 * 2</gadget>
<output>10_000</output>
<gadget id="calculator">10_000 * 2</gadget>
<output>20_000</output>
<result>A</result> | A | 20,000 | If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 5000 in a long term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of investment 18 years later, when Pat is r... | {
"A": "$ 20000",
"B": "$ 15000",
"C": "$ 12000",
"D": "$ 10000",
"E": "$ 9000"
} | multiply(multiply(5000, const_2), const_2) | multiply(n1,const_2)|multiply(#0,const_2)| | "since investment doubles in 70 / r years then for r = 8 it ' ll double in 70 / 8 = ~ 9 years ( we are not asked about the exact amount so such an approximation will do ) . thus in 18 years investment will double twice and become ( $ 5,000 * 2 ) * 2 = $ 20,000 ( after 9 years investment will become $ 5,000 * 2 = $ 10,0... | general |
math_qa__gFysmLdNp36ZE4jt | tomeka is playing a dice game . if she rolls the same number on her second roll as she rolls on her first , she wins . each roll is with two , fair , 6 - sided dice . if tomeka rolled a 7 on her first roll , what is the probability that she will win on her second roll ? Answers:
A) 1 / 4 B) 1 / 5 C) 1 / 6 D) 1 / 9 E) 1... | <gadget id="calculator">6 * 6</gadget>
<output>36</output>
<gadget id="calculator">6 / 36</gadget>
<output>1/6 = around 0.166667</output>
<result>C</result> | C | 0.166667 | tomeka is playing a dice game . if she rolls the same number on her second roll as she rolls on her first , she wins . each roll is with two , fair , 6 - sided dice . if tomeka rolled a 7 on her first roll , what is the probability that she will win on her second roll ? | {
"A": "1 / 4",
"B": "1 / 5",
"C": "1 / 6",
"D": "1 / 9",
"E": "1 / 12"
} | divide(6, multiply(6, 6)) | multiply(n0,n0)|divide(n0,#0) | there are 6 ways to roll a seven : 1 and 6 , 6 and 1 , 2 and 5 , 5 and 2 , 3 and 4 , 4 and 3 . there are 6 * 6 = 36 ways to roll two six - sided dice . thus the probability of winning by rolling a seven on the second roll given a seven on the first roll is 6 / 36 = 1 / 6 c | probability |
math_qa__Bt1oHybsz5rOvGbL | a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 90000 . the 75 associates have an average salary of $ 30000 . what is the average salary for the company ? Choose the correct choice
A) $ 35,000 B) $ 40,000 C) $ 55,000 D) $ 65,000 E) $ 75,000 | <gadget id="calculator">15 * 90_000</gadget>
<output>1_350_000</output>
<gadget id="calculator">75 * 30_000</gadget>
<output>2_250_000</output>
<gadget id="calculator">1_350_000 + 2_250_000</gadget>
<output>3_600_000</output>
<gadget id="calculator">15 + 75</gadget>
<output>90</output>
<gadget id="calculator">3_600... | B | 40,000 | a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 90000 . the 75 associates have an average salary of $ 30000 . what is the average salary for the company ? | {
"A": "$ 35,000",
"B": "$ 40,000",
"C": "$ 55,000",
"D": "$ 65,000",
"E": "$ 75,000"
} | divide(add(multiply(15, 90000), multiply(75, 30000)), add(15, 75)) | add(n0,n1)|multiply(n0,n3)|multiply(n1,n5)|add(#1,#2)|divide(#3,#0) | another method is to get ratios say 30000 = a and we know the # of people are in 1 : 5 ratio average = ( 3 a * 1 + a * 5 ) / 6 = 8 a / 6 = 40000 answer is b . $ 40,000 | general |
math_qa__fNMVFZvjQSE0Anxv | A man can row upstream at 37 kmph and downstream at 53 kmph, and then find the speed of the man in still water? Select the correct option:
A) 29 B) 92 C) 30 D) 32 E) 45 | <gadget id="calculator">37 + 53</gadget>
<output>90</output>
<gadget id="calculator">90 / 2</gadget>
<output>45</output>
<result>E</result> | E | 45 | A man can row upstream at 37 kmph and downstream at 53 kmph, and then find the speed of the man in still water? | {
"A": "29",
"B": "92",
"C": "30",
"D": "32",
"E": "45"
} | divide(add(37, 53), const_2) | add(n0,n1)|divide(#0,const_2)| | "us = 37 ds = 53 m = ( 53 + 37 ) / 2 = 45 answer : e" | physics |
math_qa__tCdDV5ZmYTGrQJ01 | John and Jane went out for a dinner and they ordered the same dish. Both used a 10% discount coupon. John paid a 15% tip over the original price of the dish, while Jane paid the tip over the discounted price for the coupon. If John paid $0.54 more than Jane, what was the original price of the dish? Choose the correct c... | <gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">(9/10) * (3/20)</gadget>
<output>27/200 = around 0.135</out... | C | 36 | John and Jane went out for a dinner and they ordered the same dish. Both used a 10% discount coupon. John paid a 15% tip over the original price of the dish, while Jane paid the tip over the discounted price for the coupon. If John paid $0.54 more than Jane, what was the original price of the dish? | {
"A": "24",
"B": "34.8",
"C": "36",
"D": "42",
"E": "84"
} | divide(0.54, subtract(divide(15, const_100), multiply(subtract(const_1, divide(10, const_100)), divide(15, const_100)))) | divide(n1,const_100)|divide(n0,const_100)|subtract(const_1,#1)|multiply(#0,#2)|subtract(#0,#3)|divide(n2,#4)| | "the difference between the amounts john paid and jane paid is the deference between 15 % of p and 15 % of 0.9 p : 0.15 p - 0.15 * 0.9 p = 0.54 - - > 15 p - 13.5 p = 54 - - > p = 36 . answer : c ." | gain |
math_qa__BVvk7zYn8JyPKOgH | If n is a positive integer and n^2 is divisible by 72, then the largest positive integer T that must divide n is? Choose one
A) 6
B) 12
C) 24
D) 36
E) 48 | <gadget id="calculator">72 / 2</gadget>
<output>36</output>
<gadget id="calculator">36 ** (1/2)</gadget>
<output>6</output>
<gadget id="calculator">6 * 2</gadget>
<output>12</output>
<result>B</result> | B | 12 | If n is a positive integer and n^2 is divisible by 72, then the largest positive integer T that must divide n is? | {
"A": "6",
"B": "12",
"C": "24",
"D": "36",
"E": "48"
} | multiply(sqrt(divide(72, 2)), 2) | divide(n1,n0)|sqrt(#0)|multiply(n0,#1)| | "q : if n is a positive integer and n ^ 2 is divisible by 72 , then the largest positive integer t that must divide n is : a 6 , b 12 , c 24 , d 36 , e 48 n ^ 2 is divisible by 72 , but it must also be greater than 72 . if n is an integer , then n ^ 2 must be a perfect square . the factorization of 72 is ( 8 ) ( 9 ) , ... | general |
math_qa__lJQiS3ZFWgZYj9HS | Angelina walked 720 meters from her home to the grocery at a constant speed. She then walked 480 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?... | <gadget id="calculator">480 / 2</gadget>
<output>240</output>
<gadget id="calculator">720 - 240</gadget>
<output>480</output>
<gadget id="calculator">480 / 40</gadget>
<output>12</output>
<gadget id="calculator">12 * 2</gadget>
<output>24</output>
<result>E</result> | E | 24 | Angelina walked 720 meters from her home to the grocery at a constant speed. She then walked 480 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym? | {
"A": "2",
"B": "3",
"C": "4",
"D": "6",
"E": "24"
} | multiply(divide(subtract(720, divide(480, const_2)), 40), const_2) | divide(n1,const_2)|subtract(n0,#0)|divide(#1,n2)|multiply(#2,const_2)| | "let the speed be x . . . so time taken from home to grocery = 720 / x . . the speed to gym = 2 x . . so time taken = 480 / 2 x = 240 / x . . its given 720 / x - 240 / x = 40 . . 480 / x = 40 . . x = 12 m / secs . . so grocery to gym = 2 * 12 = 24 m / s . . . e" | physics |
math_qa__ZaHTB4d96ejorsXJ | The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is:
Choose the correct choice:
A) 11
B) 14
C) 15
D) 13
E) 18 | <gadget id="calculator">15 * 15</gadget>
<output>225</output>
<gadget id="calculator">5 * 14</gadget>
<output>70</output>
<gadget id="calculator">9 * 16</gadget>
<output>144</output>
<gadget id="calculator">70 + 144</gadget>
<output>214</output>
<gadget id="calculator">225 - 214</gadget>
<output>11</output>
<resul... | A | 11 | The average age of 15 students of a class is 15 years. Out of these, the average age of 5 students is 14 years and that of the other 9 students is 16 years. Tee age of the 15th student is: | {
"A": "11",
"B": "14",
"C": "15",
"D": "13",
"E": "18"
} | subtract(multiply(15, 15), add(multiply(5, 14), multiply(9, 16))) | multiply(n0,n0)|multiply(n2,n3)|multiply(n4,n5)|add(#1,#2)|subtract(#0,#3)| | "age of the 15 th student = [ 15 * 15 - ( 14 * 5 + 16 * 9 ) ] = ( 225 - 214 ) = 11 years . answer a" | general |
math_qa__JvXaWfq51nnTURGy | john and peter are among the 9 players a volleyball coach can choose from to field a 6 - player team . if all 6 players are chosen at random , what is the probability of choosing a team that includes john and peter ? Choose the correct choice from the following answers
A) 3 / 10 B) 4 / 11 C) 5 / 12 D) 6 / 13 E) 7 /... | <gadget id="calculator">9 - 2</gadget>
<output>7</output>
<gadget id="calculator">factorial(7)</gadget>
<output>5_040</output>
<gadget id="calculator">6 - 2</gadget>
<output>4</output>
<gadget id="calculator">factorial(4)</gadget>
<output>24</output>
<gadget id="calculator">7 - 4</gadget>
<output>3</output>
<gadge... | C | 0.416667 | john and peter are among the 9 players a volleyball coach can choose from to field a 6 - player team . if all 6 players are chosen at random , what is the probability of choosing a team that includes john and peter ? | {
"A": "3 / 10",
"B": "4 / 11",
"C": "5 / 12",
"D": "6 / 13",
"E": "7 / 15"
} | divide(divide(factorial(subtract(9, const_2)), multiply(factorial(subtract(6, const_2)), factorial(subtract(subtract(9, const_2), subtract(6, const_2))))), divide(factorial(9), multiply(factorial(6), factorial(subtract(9, 6))))) | factorial(n0)|factorial(n1)|subtract(n0,const_2)|subtract(n1,const_2)|subtract(n0,n1)|factorial(#2)|factorial(#3)|factorial(#4)|subtract(#2,#3)|factorial(#8)|multiply(#1,#7)|divide(#0,#10)|multiply(#6,#9)|divide(#5,#12)|divide(#13,#11) | the total possible ways of selecting a 6 - member team is 9 c 6 = 84 the possible ways which include john and peter is 7 c 4 = 35 the probability of choosing both john and peter is 35 / 84 = 5 / 12 the answer is c . | probability |
math_qa__zo9Vpv3vZd3xHoI5 | A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.6 per box per month for the record storage, what is the total amount that the company pays each month for record storage? Options: A) a . ... | <gadget id="calculator">15 * 12</gadget>
<output>180</output>
<gadget id="calculator">180 * 10</gadget>
<output>1_800</output>
<gadget id="calculator">1_800 / 100</gadget>
<output>18</output>
<gadget id="calculator">18 / 100</gadget>
<output>9/50 = around 0.18</output>
<gadget id="calculator">(9/50) / 100</gadget>
... | E | 360 | A certain company has records stored with a record storage firm in 15-inch by 12-inch by 10-inch boxes. The boxes occupy 1.08 million cubic inches of space. If the company pays $0.6 per box per month for the record storage, what is the total amount that the company pays each month for record storage? | {
"A": "a . 150",
"B": "b . 300",
"C": "c . 600",
"D": "d . 1,200",
"E": "e . 360"
} | multiply(0.6, divide(1.08, divide(divide(divide(multiply(multiply(15, 12), 10), const_100), const_100), const_100))) | multiply(n0,n1)|multiply(n2,#0)|divide(#1,const_100)|divide(#2,const_100)|divide(#3,const_100)|divide(n3,#4)|multiply(n4,#5)| | "volume per box : 15 x 12 x 10 = 1,800 total volume : 1 , 080,000 number of boxes : total volume / volume per box = 1 , 080,000 / 1,800 = 600 price per month : number of boxes * price per box = 600 * 0.6 = 360 answer : e" | general |
math_qa__ou0e69nYwvsH4Bcr | How many diagonals does a 62-sided convex polygon have? Answers:
A) 1829 B) 2356 C) 3458 D) 3843 E) 4820 | <gadget id="calculator">factorial(62)</gadget>
<output>31_469_973_260_387_937_525_653_122_354_950_764_088_012_280_797_258_232_192_163_168_247_821_107_200_000_000_000_000</output>
<gadget id="calculator">62 - 2</gadget>
<output>60</output>
<gadget id="calculator">factorial(60)</gadget>
<output>8_320_987_112_741_390_14... | A | 1,829 | How many diagonals does a 62-sided convex polygon have? | {
"A": "1829",
"B": "2356",
"C": "3458",
"D": "3843",
"E": "4820"
} | divide(factorial(62), multiply(factorial(subtract(62, const_2)), factorial(const_2))) | factorial(n0)|factorial(const_2)|subtract(n0,const_2)|factorial(#2)|multiply(#3,#1)|divide(#0,#4)| | "a 62 - sided convex polygon has 62 vertices . if we examine a single vertex , we can see that we can connect it with 59 other vertices to create a diagonal . note that we ca n ' t connect the vertex to itself and we ca n ' t connect it to its adjacent vertices , since this would not create a diagonal . if each of the ... | general |
math_qa__jLmTle5D14rh9JMV | If y > 0, (8y)/20 + (3y)/10 is what percent of y? Choose the correct choice from the following answers.
A) 40 %
B) 50 %
C) 60 %
D) 70 %
E) 80 % | <gadget id="calculator">8 / 20</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(2/5) + (3/10)</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">100 * (7/10)</gadget>
<output>70</output>
<result>D</result> | D | 70 | If y > 0, (8y)/20 + (3y)/10 is what percent of y? | {
"A": "40 %",
"B": "50 %",
"C": "60 %",
"D": "70 %",
"E": "80 %"
} | multiply(const_100, add(divide(8, 20), divide(3, 10))) | divide(n1,n2)|divide(n3,n4)|add(#0,#1)|multiply(#2,const_100)| | "can be reduced to 4 y / 10 + 3 y / 10 = 7 y / 10 = 70 % answer d" | general |
math_qa__d7XoCyl6BatJe1N4 | On dividing 14698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor?
Pick
A) 743
B) 154
C) 852
D) 741
E) 165 | <gadget id="calculator">14_698 - 14</gadget>
<output>14_684</output>
<gadget id="calculator">14_684 / 89</gadget>
<output>14_684/89 = around 164.988764</output>
<result>E</result> | E | 165 | On dividing 14698 by a certain number, we get 89 as quotient and 14 as remainder. What is the divisor? | {
"A": "743",
"B": "154",
"C": "852",
"D": "741",
"E": "165"
} | divide(subtract(14698, 14), 89) | subtract(n0,n2)|divide(#0,n1)| | "divisor * quotient + remainder = dividend divisor = ( dividend ) - ( remainder ) / quotient ( 14698 - 14 ) / 89 = 165 answer ( e )" | general |
math_qa__iytQKReYd08bwCaf | How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 190 m in length? Choose the correct choice from the following answers
A) 18.9 sec
B) 88.9 sec
C) 22.9 sec
D) 18.0 sec
E) 72.0 sec | <gadget id="calculator">110 + 190</gadget>
<output>300</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">60 * (5/18)</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">300 / (50/3)</gadget>
<output>18</output>
<result>D</result> | D | 18 | How long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 190 m in length? | {
"A": "18.9 sec",
"B": "88.9 sec",
"C": "22.9 sec",
"D": "18.0 sec",
"E": "72.0 sec"
} | divide(add(110, 190), multiply(60, const_0_2778)) | add(n0,n2)|multiply(n1,const_0_2778)|divide(#0,#1)| | "d = 110 + 190 = 300 m s = 60 * 5 / 18 = 50 / 3 t = 300 * 3 / 50 = 18.0 sec answer : d" | physics |
math_qa__lPJtweAUQDXqEIDr | Paulson spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. Find the percentage increase in his savings?
Choose the correct choice from the following answers
A) 20 %
B) 25 %
C) 50 %
D) 75 %
E) 60 % | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>
<gadge... | C | 50 | Paulson spends 75% of his income. His income is increased by 20% and he increased his expenditure by 10%. Find the percentage increase in his savings? | {
"A": "20 %",
"B": "25 %",
"C": "50 %",
"D": "75 %",
"E": "60 %"
} | multiply(divide(subtract(subtract(add(const_1, divide(20, const_100)), multiply(add(const_1, divide(10, const_100)), divide(75, const_100))), subtract(const_1, divide(75, const_100))), subtract(const_1, divide(75, const_100))), const_100) | divide(n1,const_100)|divide(n2,const_100)|divide(n0,const_100)|add(#0,const_1)|add(#1,const_1)|subtract(const_1,#2)|multiply(#4,#2)|subtract(#3,#6)|subtract(#7,#5)|divide(#8,#5)|multiply(#9,const_100)| | "let original income = $ 100 expenditure = $ 75 savings = $ 25 new income = $ 120 new expenditure = $ 110 / 100 * 75 = $ 165 / 2 new savings = 120 - 165 / 2 = $ 75 / 2 increase in savings = 75 / 2 - 25 = $ 25 / 2 increase % = 25 / 2 * 1 / 25 * 100 = 50 % answer is c" | general |
math_qa__HNOokSkZOWOSbtn2 | Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each container? (Note that 1 pound = 16 ounces)
Choose the correct choice.
A) 27 B) 30 C) 33 D) 36 E) 39 | <gadget id="calculator">33 / 4</gadget>
<output>33/4 = around 8.25</output>
<gadget id="calculator">(33/4) * 16</gadget>
<output>132</output>
<gadget id="calculator">132 / 4</gadget>
<output>33</output>
<result>C</result> | C | 33 | Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each container? (Note that 1 pound = 16 ounces) | {
"A": "27",
"B": "30",
"C": "33",
"D": "36",
"E": "39"
} | divide(multiply(divide(33, 4), 16), 4) | divide(n0,n1)|multiply(n4,#0)|divide(#1,n2)| | "33 / 4 ÷ 4 = 33 / 16 pounds in each container 33 / 16 pounds * 16 ounces / pound = 33 ounces in each container the answer is c ." | general |
math_qa__J0wOaCDWWtVPNYiw | Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 22 years. What is Deepak present age? Select the correct option.
A) 22 B) 15 C) 77 D) 266 E) 12 | <gadget id="calculator">22 - 6</gadget>
<output>16</output>
<gadget id="calculator">16 * 3</gadget>
<output>48</output>
<gadget id="calculator">48 / 4</gadget>
<output>12</output>
<result>E</result> | E | 12 | Ratio between Rahul and Deepak is 4:3, After 6 Years Rahul age will be 22 years. What is Deepak present age? | {
"A": "22",
"B": "15",
"C": "77",
"D": "266",
"E": "12"
} | divide(multiply(subtract(22, 6), 3), 4) | subtract(n3,n2)|multiply(n1,#0)|divide(#1,n0)| | "present age is 4 x and 3 x , = > 4 x + 6 = 22 = > x = 4 so deepak age is = 3 ( 4 ) = 12 answer : e" | other |
math_qa__P4rkcI412oWzrhb0 | In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 112 of the workers of that company are men, how many of the workers are women?
Pick one.
A) 80 B) 98 C) 105 D) 120 ... | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/3) * (1/5)</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">(1/3) - (1/15)</gadget>
<output>4/15 = around 0.2666... | B | 98 | In a certain company, a third of the workers do not have a retirement plan. 20% of the workers who do not have a retirement plan are women, and 40% of the workers who do have a retirement plan are men. If 112 of the workers of that company are men, how many of the workers are women? | {
"A": "80",
"B": "98",
"C": "105",
"D": "120",
"E": "210"
} | multiply(divide(112, add(subtract(divide(const_1, const_3), multiply(divide(const_1, const_3), divide(20, const_100))), multiply(subtract(const_1, divide(const_1, const_3)), divide(40, const_100)))), add(multiply(divide(const_1, const_3), divide(20, const_100)), subtract(subtract(const_1, divide(const_1, const_3)), mul... | divide(const_1,const_3)|divide(n0,const_100)|divide(n1,const_100)|multiply(#0,#1)|subtract(const_1,#0)|multiply(#2,#4)|subtract(#0,#3)|add(#5,#6)|subtract(#4,#5)|add(#3,#8)|divide(n2,#7)|multiply(#9,#10)| | "set up equation : x = total number of workers 112 = 0,4 * 2 / 3 * x + 0,8 * 1 / 3 * x 112 = 16 / 30 x x = 210 210 - 112 = 98 answer b" | gain |
math_qa__yR25n1OiClItEBuQ | If an object travels 70 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet)
Choose the correct choice from the following answers
A) 15.95
B) 17.28
C) 19.54
D) 21.73
E) 23.86 | <gadget id="calculator">70 / 5_280</gadget>
<output>7/528 = around 0.013258</output>
<gadget id="calculator">1 / 3_600</gadget>
<output>1/3_600 = around 0.000278</output>
<gadget id="calculator">2 * (1/3_600)</gadget>
<output>1/1_800 = around 0.000556</output>
<gadget id="calculator">(7/528) / (1/1_800)</gadget>
<ou... | E | 23.86 | If an object travels 70 feet in 2 seconds, what is the object’s approximate speed in miles per hour? (Note: 1 mile = 5280 feet) | {
"A": "15.95",
"B": "17.28",
"C": "19.54",
"D": "21.73",
"E": "23.86"
} | divide(divide(70, 5280), multiply(2, divide(1, const_3600))) | divide(n0,n3)|divide(n2,const_3600)|multiply(n1,#1)|divide(#0,#2)| | "70 feet / 2 seconds = 35 feet / second ( 35 feet / second ) * ( 3600 seconds / hour ) * ( 1 mile / 5280 feet ) = 23.86 miles / hour ( approximately ) the answer is e ." | physics |
math_qa__nrtgmlRJRu7h5Q55 | 85 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine? Choose the correct choice:
A) 80 litres B) 90 litres C) 120 litres... | <gadget id="calculator">800 * 600</gadget>
<output>480_000</output>
<gadget id="calculator">85 / 480_000</gadget>
<output>17/96_000 = around 0.000177</output>
<gadget id="calculator">800 * (17/96_000)</gadget>
<output>17/120 = around 0.141667</output>
<gadget id="calculator">1_200 * (17/120)</gadget>
<output>170</ou... | D | 170 | 85 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine? | {
"A": "80 litres",
"B": "90 litres",
"C": "120 litres",
"D": "170 litres",
"E": "none of these"
} | multiply(1200, multiply(800, divide(85, multiply(800, 600)))) | multiply(n1,n2)|divide(n0,#0)|multiply(n2,#1)|multiply(n4,#2)| | "explanatory answer to cover a distance of 800 kms using a 800 cc engine , the amount of diesel required = 800 / 600 * 85 = 113.33 litres . however , the vehicle uses a 1200 cc engine and the question states that the amount of diesel required varies directly as the engine capacity . i . e . , for instance , if the capa... | physics |
math_qa__fpIWPglR1HIOKFFf | A can give B 300 meters start and C 600 meters start in a kilometer race. How much start can B give C in a kilometer race?
Options.
A) 111.12 B) 111.67 C) 428.57 D) 111.11 E) 101.12 | <gadget id="calculator">100 * 10</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 - 600</gadget>
<output>400</output>
<gadget id="calculator">1_000 * 400</gadget>
<output>400_000</output>
<gadget id="calculator">1_000 - 300</gadget>
<output>700</output>
<gadget id="calculator">400_000 / 700</gadget>
<o... | C | 428.57 | A can give B 300 meters start and C 600 meters start in a kilometer race. How much start can B give C in a kilometer race? | {
"A": "111.12",
"B": "111.67",
"C": "428.57",
"D": "111.11",
"E": "101.12"
} | subtract(multiply(const_100, const_10), divide(multiply(multiply(const_100, const_10), subtract(multiply(const_100, const_10), 600)), subtract(multiply(const_100, const_10), 300))) | multiply(const_10,const_100)|subtract(#0,n1)|subtract(#0,n0)|multiply(#0,#1)|divide(#3,#2)|subtract(#0,#4)| | "a runs 1000 m while b runs 700 m and c runs 400 m . the number of meters that c runs when b runs 1000 m , = ( 1000 * 400 ) / 700 = 571.43 m . b can give c = 1000 - 571.43 = 428.57 m . answer : c" | physics |
math_qa__VtPHcQ8DBbwDSOIr | There are 2000 students in a school and among them 10 % of them attends chess class. 50% of the students who are in the chess class are also enrolled for swimming. No other students are interested in swimming so how many will attend the swimming class if all enrolled attends? Options
A) 1 B) 10 C) 100 D) 50 E) 20 | <gadget id="calculator">10 * 2_000</gadget>
<output>20_000</output>
<gadget id="calculator">20_000 / 100</gadget>
<output>200</output>
<gadget id="calculator">200 * 50</gadget>
<output>10_000</output>
<gadget id="calculator">10_000 / 100</gadget>
<output>100</output>
<result>C</result> | C | 100 | There are 2000 students in a school and among them 10 % of them attends chess class. 50% of the students who are in the chess class are also enrolled for swimming. No other students are interested in swimming so how many will attend the swimming class if all enrolled attends? | {
"A": "1",
"B": "10",
"C": "100",
"D": "50",
"E": "20"
} | divide(multiply(divide(multiply(10, 2000), const_100), 50), const_100) | multiply(n0,n1)|divide(#0,const_100)|multiply(n2,#1)|divide(#2,const_100)| | "10 % of 2000 gives 200 . so 200 attends chess and 50 % of 200 gives 100 so 100 enrolled for swimming answer : c" | gain |
math_qa__bjI4xFhToilqgrtA | The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is
Choose the most appropriate option
A) 11 : 9 B) 11 : 18 C) 21 : 19 D) 21 : 19 E) none | <gadget id="calculator">40 / 2</gadget>
<output>20</output>
<gadget id="calculator">20 - 2</gadget>
<output>18</output>
<gadget id="calculator">40 - 18</gadget>
<output>22</output>
<gadget id="calculator">22 / 2</gadget>
<output>11</output>
<gadget id="calculator">18 / 2</gadget>
<output>9</output>
<gadget id="cal... | A | 1.222222 | The sum of two numbers is 40 and their difference is 4. The ratio of the numbers is | {
"A": "11 : 9",
"B": "11 : 18",
"C": "21 : 19",
"D": "21 : 19",
"E": "none"
} | divide(divide(subtract(40, subtract(divide(40, const_2), const_2)), const_2), divide(subtract(divide(40, const_2), const_2), const_2)) | divide(n0,const_2)|subtract(#0,const_2)|divide(#1,const_2)|subtract(n0,#1)|divide(#3,const_2)|divide(#4,#2) | sol . let the numbers be x and y . then , x + y / x - y = 40 / 4 = 10 ⇔ ( x + y ) = 10 ( x - y ) ⇔ 9 x = 11 y ⇔ x / y = 11 / 9 . answer a | general |
math_qa__wi9tnLm2qJLYvdIk | On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number Q of races we need to conduct to get the top 3 fastest horses? Choose one
A) 5 B) 7 C) 8 D) 10 E) 11 | <gadget id="calculator">25 / 5</gadget>
<output>5</output>
<gadget id="calculator">5 + 2</gadget>
<output>7</output>
<result>B</result> | B | 7 | On a race track a maximum of 5 horses can race together at a time. There are a total of 25 horses. There is no way of timing the races. What is the minimum number Q of races we need to conduct to get the top 3 fastest horses? | {
"A": "5",
"B": "7",
"C": "8",
"D": "10",
"E": "11"
} | add(divide(25, 5), const_2) | divide(n1,n0)|add(#0,const_2) | q = 7 is the correct answer . good solution buneul . b | general |
math_qa__ysSPO9opX7Y7Cw9d | In a 100 m race,A covers the distance in 30 seconds and B in 45 second.In this race A beats B by : Choose the correct choice from the following
A) 33.33 m
B) 25 m
C) 45 m
D) 30 m
E) none of these | <gadget id="calculator">100 / 45</gadget>
<output>20/9 = around 2.222222</output>
<gadget id="calculator">45 - 30</gadget>
<output>15</output>
<gadget id="calculator">(20/9) * 15</gadget>
<output>100/3 = around 33.333333</output>
<result>A</result> | A | 33.33 | In a 100 m race,A covers the distance in 30 seconds and B in 45 second.In this race A beats B by : | {
"A": "33.33 m",
"B": "25 m",
"C": "45 m",
"D": "30 m",
"E": "none of these"
} | multiply(divide(100, 45), subtract(45, 30)) | divide(n0,n2)|subtract(n2,n1)|multiply(#0,#1) | solution distance covered by b in 15 sec . = ( 100 / 45 x 15 ) m = 33.33 m . ∴ a beats b by 33.33 metres . answer a | physics |
math_qa__lmpi5gAFcYrWlzEE | If (2 to the x) - (2 to the (x-2)) = 3 (2 to the 12), what is the value of x?
Choose the correct choice from the following: A) 9 B) 11 C) 13 D) 15 E) 14 | <gadget id="calculator">12 + 2</gadget>
<output>14</output>
<result>E</result> | E | 14 | If (2 to the x) - (2 to the (x-2)) = 3 (2 to the 12), what is the value of x? | {
"A": "9",
"B": "11",
"C": "13",
"D": "15",
"E": "14"
} | add(12, 2) | add(n0,n5) | i am guessing the question is : ( 2 to the power x ) - ( 2 to the power ( x - 2 ) ) = 3 ( 2 to the power 12 ) 2 ^ x - 2 ^ ( x - 2 ) = 3 . 2 ^ 12 hence x = 14 . answer is e | general |
math_qa__OU7x2L3IzlDZKSZX | A,B,C can do a work in 15,20,45 days respectively. They get Rs 500 for their work. What is the share of A?
Answers
A) rs . 240 B) rs . 340 C) rs . 260 D) rs . 280 E) rs . 440 | <gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">10... | A | 240 | A,B,C can do a work in 15,20,45 days respectively. They get Rs 500 for their work. What is the share of A? | {
"A": "rs . 240",
"B": "rs . 340",
"C": "rs . 260",
"D": "rs . 280",
"E": "rs . 440"
} | multiply(500, divide(inverse(15), add(add(inverse(multiply(const_2, const_10)), inverse(add(multiply(const_2, const_10), multiply(const_100, const_0_25)))), inverse(15)))) | inverse(n0)|multiply(const_10,const_2)|multiply(const_0_25,const_100)|add(#1,#2)|inverse(#1)|inverse(#3)|add(#4,#5)|add(#6,#0)|divide(#0,#7)|multiply(n2,#8) | lcm = 180 share of a = ( lcm / a x total amount ) / lcm / a + lcm / b + lcm / c = ( 180 / 15 ) / ( 180 / 15 + 180 / 20 + 180 / 45 ) = ( 12 / 25 ) * 500 = rs . 240 answer : a | physics |
math_qa__RvE6N4qf23Eh6jLk | Express a speed of 252 kmph in meters per second? Choose the most appropriate option: A) 10 mps B) 05 mps C) 09 mps D) 12 mps E) 70 mps | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">(5/18) * 252</gadget>
<output>70</output>
<result>E</result> | E | 70 | Express a speed of 252 kmph in meters per second? | {
"A": "10 mps",
"B": "05 mps",
"C": "09 mps",
"D": "12 mps",
"E": "70 mps"
} | multiply(const_0_2778, 252) | multiply(n0,const_0_2778)| | "e 70 mps 252 * 5 / 18 = 70 mps" | physics |
math_qa__pOAqgvZtdxy0padl | A circular garden is surrounded by a fence of negligible width along the boundary. If the length of the fence is 1/3 of th area of the garden. What is the radius of the circular garden? Choose the correct choice from the following answers: A) 6 B) 2 C) 4 D) 8 E) 16 | <gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">9 ** (1/2)</gadget>
<output>3</output>
<gadget id="calculator">2 * 3</gadget>
<output>6</output>
<result>A</result> | A | 6 | A circular garden is surrounded by a fence of negligible width along the boundary. If the length of the fence is 1/3 of th area of the garden. What is the radius of the circular garden? | {
"A": "6",
"B": "2",
"C": "4",
"D": "8",
"E": "16"
} | multiply(const_2, sqrt(power(3, const_2))) | power(n1,const_2)|sqrt(#0)|multiply(#1,const_2)| | "as per the question - - width is negligible now , let l be the length of the fence = 2 pir l = 1 / 3 ( pir ^ 2 ) pir ^ 2 = 6 pir r = 6 answer : a" | geometry |
math_qa__2z8eEhRIa4ArJV3V | Jean drew a gumball at random from a jar of pink and blue gumballs. Since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. The second gumball also happened to be blue and she replaced it as well. If the probability of her drawing the two blue gumballs was 25/49, what is the... | <gadget id="calculator">25 / 49</gadget>
<output>25/49 = around 0.510204</output>
<gadget id="calculator">(25/49) ** (1/2)</gadget>
<output>5/7 = around 0.714286</output>
<gadget id="calculator">1 - (5/7)</gadget>
<output>2/7 = around 0.285714</output>
<result>B</result> | B | 0.285714 | Jean drew a gumball at random from a jar of pink and blue gumballs. Since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. The second gumball also happened to be blue and she replaced it as well. If the probability of her drawing the two blue gumballs was 25/49, what is the... | {
"A": "1 / 49",
"B": "2 / 7",
"C": "3 / 7",
"D": "16 / 49",
"E": "40 / 49"
} | subtract(const_1, sqrt(divide(25, 49))) | divide(n0,n1)|sqrt(#0)|subtract(const_1,#1)| | "the probability of drawing a pink gumball both times is the same . the probability that she drew two blue gumballs = 25 / 49 = ( 5 / 7 ) * ( 5 / 7 ) therefore probability that the next one she draws is pink = 2 / 7 option ( b )" | general |
math_qa__vHSBuQKeCHZrO3ZM | The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is? Options: A) 1 : 4 B) 1 : 16 C) 1 : 8 D) 1 : 64 E) 2 : 3 | <gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<result>C</result> | C | 0.125 | The areas of the two spheres are in the ratio 1: 4. The ratio of their volume is? | {
"A": "1 : 4",
"B": "1 : 16",
"C": "1 : 8",
"D": "1 : 64",
"E": "2 : 3"
} | divide(1, multiply(4, const_2)) | multiply(n1,const_2)|divide(n0,#0) | 4 π r 12 : 4 π r 22 = 1 : 4 r 1 : r 2 = 1 : 2 4 / 3 π r 13 : 4 / 3 π r 23 r 13 : r 23 = 1 : 8 answer : c | geometry |
math_qa__fWiNbgFZ5OtAr8lp | A hostel had provisions for 250 men for 40 days. If 50 men left the hostel, how long will the food last at the same rate? Choose the correct option
A) 30 B) 40 C) 50 D) 60 E) 65 | <gadget id="calculator">250 * 40</gadget>
<output>10_000</output>
<gadget id="calculator">250 - 50</gadget>
<output>200</output>
<gadget id="calculator">10_000 / 200</gadget>
<output>50</output>
<result>C</result> | C | 50 | A hostel had provisions for 250 men for 40 days. If 50 men left the hostel, how long will the food last at the same rate? | {
"A": "30",
"B": "40",
"C": "50",
"D": "60",
"E": "65"
} | divide(multiply(250, 40), subtract(250, 50)) | multiply(n0,n1)|subtract(n0,n2)|divide(#0,#1)| | "a hostel had provisions for 250 men for 40 days if 50 men leaves the hostel , remaining men = 250 - 50 = 200 we need to find out how long the food will last for these 200 men . let the required number of days = x days more men , less days ( indirect proportion ) ( men ) 250 : 200 : : x : 40 250 × 40 = 200 x 5 × 40 = 4... | gain |
math_qa__cXqoTiGvbiSu6Oap | If g and f are both odd prime numbers andg < f, then how many different positive integer factors does2gfhave?
Choose the correct option.
A) 3
B) 4
C) 6
D) 8
E) 12 | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">2 * 4</gadget>
<output>8</output>
<result>D</result> | D | 8 | If g and f are both odd prime numbers andg < f, then how many different positive integer factors does2gfhave? | {
"A": "3",
"B": "4",
"C": "6",
"D": "8",
"E": "12"
} | multiply(2, multiply(2, 2)) | multiply(n0,n0)|multiply(n0,#0) | g and f are both odd prime numbers - it means either g or f is not 2 and since prime numbers have only two factors - 1 and the number itself g and f each will have ( 1 + 1 ) = 2 factors hence 2 gf will have ( 1 + 1 ) ( 1 + 1 ) ( 1 + 1 ) = 8 factors d is the answer | other |
math_qa__yjMrkPELjTSrvPof | A and B go around a circular track of length 600 m on a cycle at speeds of 30 kmph and 60 kmph. After how much time will they meet for the first time at the starting point? Select:
A) 120 sec B) 176 sec C) 178 sec D) 72 sec E) 189 sec | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">60 * (5/18)</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">30 * (5/18)</gadget>
<output>25/3 = around 8.333333</output>
<gadget id="calculator">(50/3) - (25/3)</gadget>
<output>25/3 = a... | D | 72 | A and B go around a circular track of length 600 m on a cycle at speeds of 30 kmph and 60 kmph. After how much time will they meet for the first time at the starting point? | {
"A": "120 sec",
"B": "176 sec",
"C": "178 sec",
"D": "72 sec",
"E": "189 sec"
} | divide(600, subtract(multiply(60, const_0_2778), multiply(30, const_0_2778))) | multiply(n2,const_0_2778)|multiply(n1,const_0_2778)|subtract(#0,#1)|divide(n0,#2)| | "time taken to meet for the first time at the starting point = lcm { length of the track / speed of a , length of the track / speed of b } = lcm { 600 / ( 30 * 5 / 18 ) , 600 / ( 60 * 5 / 18 ) } = 72 sec . answer : d" | physics |
math_qa__FIQORS6GoUyRU5Se | m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 18) both lie on the line defined by the equation x = (y/6) - (2/5), what is the value of p? Choose the correct answer:
A) 1 B) 2 C) 3 D) 4 E) 5 | <gadget id="calculator">18 / 6</gadget>
<output>3</output>
<result>C</result> | C | 3 | m and n are the x and y coordinates, respectively, of a point in the coordinate plane. If the points (m, n) and (m + p, n + 18) both lie on the line defined by the equation x = (y/6) - (2/5), what is the value of p? | {
"A": "1",
"B": "2",
"C": "3",
"D": "4",
"E": "5"
} | divide(18, 6) | divide(n0,n1)| | "x = ( y / 6 ) - ( 2 / 5 ) , and so y = 6 x + 12 / 5 . the slope is 6 . ( n + 18 - n ) / ( m + p - m ) = 6 p = 3 the answer is c ." | general |
math_qa__7N7Tf6RVvuoXfRSu | If w is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of w ? Select the correct option.
A) 10 B) 12 C) 14 D) 16 E) 18 | <gadget id="calculator">30 - 2</gadget>
<output>28</output>
<gadget id="calculator">28 / 2</gadget>
<output>14</output>
<result>C</result> | C | 14 | If w is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3^k is a factor of w ? | {
"A": "10",
"B": "12",
"C": "14",
"D": "16",
"E": "18"
} | divide(subtract(30, const_2), const_2) | subtract(n1,const_2)|divide(#0,const_2) | w = 30 ! 8 w = 30 x 29 x 28 x 27 x 26 x 25 x 24 x 24 x 22 x 21 x 20 x 19 x 18 x 17 x 16 x 15 x 14 x 13 x 12 x 11 x 10 x 09 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 out of these 30 , 27 , 24 , 21 , 18 , 15 , 12 , 09 , 06 , 3 are factors of 3 3 x 10 , 3 x 3 x 3 , 3 x 8 , 3 x 3 x 2 , 3 x 5 , 3 x 4 , 3 x 3 x 3 , 3 x 2 , 3 so we hav... | general |
math_qa__BogBYJnUUcnUNxAq | a and b started a business in partnership investing rs . 20000 and rs . 15000 respectively . after 6 months , c joined them with rs . 20000 . what will be b ' s share in the total profit of rs . 25000 earned at the end of 2 years from the starting of the business ? Choose the correct choice from the following options.... | <gadget id="calculator">12 * 2</gadget>
<output>24</output>
<gadget id="calculator">15_000 * 24</gadget>
<output>360_000</output>
<gadget id="calculator">20_000 * 24</gadget>
<output>480_000</output>
<gadget id="calculator">480_000 + 360_000</gadget>
<output>840_000</output>
<gadget id="calculator">24 - 6</gadget>
... | A | 7,500 | a and b started a business in partnership investing rs . 20000 and rs . 15000 respectively . after 6 months , c joined them with rs . 20000 . what will be b ' s share in the total profit of rs . 25000 earned at the end of 2 years from the starting of the business ? | {
"A": "rs . 7500",
"B": "rs . 9000",
"C": "rs . 9500",
"D": "rs . 10,000",
"E": "none"
} | multiply(divide(multiply(15000, multiply(const_12, const_2)), add(add(multiply(20000, multiply(const_12, const_2)), multiply(15000, multiply(const_12, const_2))), multiply(20000, subtract(multiply(const_12, const_2), 6)))), 25000) | multiply(const_12,const_2)|multiply(n1,#0)|multiply(n0,#0)|subtract(#0,n2)|add(#2,#1)|multiply(n0,#3)|add(#4,#5)|divide(#1,#6)|multiply(n4,#7) | solution a : b : c = ( 20000 × 24 ) : ( 15000 × 24 ) : ( 20000 × 18 ) = 4 : 3 : 3 b ' s share = rs . ( 25000 × 3 / 10 ) = rs . 7500 . answer a | gain |
math_qa__WhAOIB1M0QDk26bQ | Length of a rectangular plot is 14 mtr more than its breadth. If the cost of fencing the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr? Choose the correct choice
A) 50 m B) 57 m C) 80 m D) 82 m E) 84 m | <gadget id="calculator">5_300 / 26.5</gadget>
<output>200</output>
<gadget id="calculator">2 * 14</gadget>
<output>28</output>
<gadget id="calculator">200 + 28</gadget>
<output>228</output>
<gadget id="calculator">228 / 4</gadget>
<output>57</output>
<result>B</result> | B | 57 | Length of a rectangular plot is 14 mtr more than its breadth. If the cost of fencing the plot at 26.50 per meter is Rs. 5300, what is the length of the plot in mtr? | {
"A": "50 m",
"B": "57 m",
"C": "80 m",
"D": "82 m",
"E": "84 m"
} | divide(add(divide(5300, 26.50), multiply(const_2, 14)), const_4) | divide(n2,n1)|multiply(n0,const_2)|add(#0,#1)|divide(#2,const_4)| | "let breadth = x metres . then , length = ( x + 14 ) metres . perimeter = 5300 m = 200 m . 26.50 2 [ ( x + 14 ) + x ] = 200 2 x + 14 = 100 2 x = 86 x = 43 . hence , length = x + 14 = 57 m b" | physics |
math_qa__2BOusxkaUNpFbx9V | If (A+B) = 4, (B+C) = 5 and (C+D) = 3, what is the value of (A+D)? Choose the correct choice from the following options.
A) 16 .
B) 8 .
C) 7 .
D) 2 .
E) - 2 . | <gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">7 - 5</gadget>
<output>2</output>
<result>D</result> | D | 2 | If (A+B) = 4, (B+C) = 5 and (C+D) = 3, what is the value of (A+D)? | {
"A": "16 .",
"B": "8 .",
"C": "7 .",
"D": "2 .",
"E": "- 2 ."
} | subtract(add(4, 3), 5) | add(n0,n2)|subtract(#0,n1)| | "given a + b = 4 b + c = 5 c + d = 3 ( a + b ) - ( b + c ) + ( c + d ) = ( a + d ) = > 4 - 5 + 3 = 2 . option d . . ." | general |
math_qa__WwvZnk2nxOrsw3S6 | Indu gave Bindu Rs.6500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? Pick one
A) 12.8
B) 20
C) 10.4
D) 11.6
E) 15 | <gadget id="calculator">4 / 100</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">1 + (1/25)</gadget>
<output>26/25 = around 1.04</output>
<gadget id="calculator">(26/25) ** 2</gadget>
<output>676/625 = around 1.0816</output>
<gadget id="calculator">6_500 * (676/625)</gadget>
<output>35_152/5 = ar... | C | 10.4 | Indu gave Bindu Rs.6500 on compound interest for 2 years at 4% per annum. How much loss would Indu has suffered had she given it to Bindu for 2 years at 4% per annum simple interest? | {
"A": "12.8",
"B": "20",
"C": "10.4",
"D": "11.6",
"E": "15"
} | subtract(subtract(multiply(6500, power(add(const_1, divide(4, const_100)), 2)), 6500), multiply(multiply(6500, divide(4, const_100)), 2)) | divide(n2,const_100)|add(#0,const_1)|multiply(n0,#0)|multiply(n1,#2)|power(#1,n1)|multiply(n0,#4)|subtract(#5,n0)|subtract(#6,#3)| | "6500 = d ( 100 / 4 ) 2 d = 10.4 answer : c" | gain |
math_qa__DbrRmNJEvT1S2AfY | If the product of two numbers is 84942 and their H.C.F. is 33, find their L.C.M. Choose the correct choice from the following answers
A) 2574 B) 2500 C) 1365 D) 1574 E) none of these | <gadget id="calculator">84_942 / 33</gadget>
<output>2_574</output>
<result>A</result> | A | 2,574 | If the product of two numbers is 84942 and their H.C.F. is 33, find their L.C.M. | {
"A": "2574",
"B": "2500",
"C": "1365",
"D": "1574",
"E": "none of these"
} | divide(84942, 33) | divide(n0,n1)| | "explanation : hcf * lcm = 84942 , because we know product of two numbers = product of hcf and lcm lcm = 84942 / 33 = 2574 option a" | physics |
math_qa__FRVSQWDvS56ONXxs | Express the ratio 3 2/3 : 7 1/3 in its simplest form. Choose the correct choice
A) 1 : 21
B) 1 : 1
C) 2 : 1
D) 1 : 2
E) 2 : 11 | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">9 + 2</gadget>
<output>11</output>
<gadget id="calculator">11 / 3</gadget>
<output>11/3 = around 3.666667</output>
<gadget id="calculator">3 * 7</gadget>
<output>21</output>
<gadget id="calculator">21 + 1</gadget>
<output>22</output>
... | D | 0.5 | Express the ratio 3 2/3 : 7 1/3 in its simplest form. | {
"A": "1 : 21",
"B": "1 : 1",
"C": "2 : 1",
"D": "1 : 2",
"E": "2 : 11"
} | divide(divide(add(multiply(3, 3), 2), 3), divide(add(multiply(3, 7), 1), 3)) | multiply(n0,n0)|multiply(n0,n3)|add(n1,#0)|add(n4,#1)|divide(#2,n0)|divide(#3,n0)|divide(#4,#5) | solution we first convert the mixed numbers 3 2 / 3 and 7 1 / 3 into fractions 3 2 / 3 = 3 * 3 / 3 + 2 / 3 = 11 / 3 7 1 / 3 = 7 * 3 / 3 + 1 / 3 = 22 / 3 the ratio 3 2 / 3 : 7 1 / 3 can be expressed as 11 / 3 ÷ 22 / 3 = 11 / 3 × 3 / 22 simplify = 11 / 22 = 1 / 2 the ratio is 1 / 2 or 1 : 2 answer is d | general |
math_qa__J7kC1X4xiu3rZQsq | A runs twice as fast as B and gives B a start of 64m.How long should the racecourse be so that A and B might reach in the same time? Choose the correct choice from the following choices:
A) 75 m .
B) 128 m .
C) 150 m .
D) 100 m .
E) none of the above | <gadget id="calculator">64 * 2</gadget>
<output>128</output>
<result>B</result> | B | 128 | A runs twice as fast as B and gives B a start of 64m.How long should the racecourse be so that A and B might reach in the same time? | {
"A": "75 m .",
"B": "128 m .",
"C": "150 m .",
"D": "100 m .",
"E": "none of the above"
} | multiply(64, const_2) | multiply(n0,const_2)| | "ratio of speeds of a and b is 2 : 1 b is 64 m away from a but we know that a covers 1 meter ( 2 - 1 ) more in every second than b the time taken for a to cover 64 m is 64 / 1 = 64 m so the total time taken by a and b to reach = 2 * 64 = 128 m answer : b" | physics |
math_qa__i1zGAoNoBuFS92O2 | On a map, 2.5 inches represent 25 miles. How many miles approximately is the distance if you measured 55 centimeters assuming that 1-inch is 2.54 centimeters? Choose the correct choice.
A) 212.5 B) 213.5 C) 214.5 D) 215.5 E) 216.5 | <gadget id="calculator">55 / 2.54</gadget>
<output>21.653543</output>
<gadget id="calculator">25 / 2.5</gadget>
<output>10</output>
<gadget id="calculator">21.653543 * 10</gadget>
<output>216.53543</output>
<result>E</result> | E | 216.5 | On a map, 2.5 inches represent 25 miles. How many miles approximately is the distance if you measured 55 centimeters assuming that 1-inch is 2.54 centimeters? | {
"A": "212.5",
"B": "213.5",
"C": "214.5",
"D": "215.5",
"E": "216.5"
} | multiply(divide(55, 2.54), divide(25, 2.5)) | divide(n2,n4)|divide(n1,n0)|multiply(#0,#1)| | "1 inch = 2.54 cm 2.5 inch = 2.54 * 2.5 cm 6.35 cm = 25 miles 55 cms = 25 / 6.35 * 55 = 216.5 miles answer : e" | physics |
math_qa__SjXKDu7eGAnLCQro | A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $920 in total compensation,... | <gadget id="calculator">16 * 40</gadget>
<output>640</output>
<gadget id="calculator">920 - 640</gadget>
<output>280</output>
<gadget id="calculator">100 + 75</gadget>
<output>175</output>
<gadget id="calculator">16 * 175</gadget>
<output>2_800</output>
<gadget id="calculator">2_800 / 100</gadget>
<output>28</outpu... | D | 50 | A certain bus driver is paid a regular rate of $16 per hour for any number of hours that does not exceed 40 hours per week. For any overtime hours worked in excess of 40 hours per week, the bus driver is paid a rate that is 75% higher than his regular rate. If last week the bus driver earned $920 in total compensation,... | {
"A": "36",
"B": "40",
"C": "44",
"D": "50",
"E": "52"
} | add(40, divide(subtract(920, multiply(16, 40)), divide(multiply(16, add(const_100, 75)), const_100))) | add(n3,const_100)|multiply(n0,n1)|multiply(n0,#0)|subtract(n4,#1)|divide(#2,const_100)|divide(#3,#4)|add(n1,#5)| | "for 40 hrs = 40 * 16 = 640 excess = 920 - 640 = 280 for extra hours = . 75 ( 16 ) = 12 + 16 = 28 number of extra hrs = 280 / 28 = 70 / 7 = 10 total hrs = 40 + 10 = 50 answer d 50" | general |
math_qa__wEIMTx3R5qucnroP | When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 2 centimeter. The actual diameter of the tissue, in centimeters, is Choose the correct choice from the following
A) 0.005 B) 0.002 C) 0.001 D) 0.0005 E) 0.0002 | <gadget id="calculator">2 / 1_000</gadget>
<output>1/500 = around 0.002</output>
<result>B</result> | B | 0.002 | When magnified 1,000 times by an electron microscope, the image of a certain circular piece of tissue has a diameter of 2 centimeter. The actual diameter of the tissue, in centimeters, is | {
"A": "0.005",
"B": "0.002",
"C": "0.001",
"D": "0.0005",
"E": "0.0002"
} | divide(2, const_1000) | divide(n1,const_1000) | it is very easy if x is the diameter , then the magnified length is 1000 x . ince 1000 x = 2 then x = 2 / 1000 = 0.002 . the answer is b | geometry |
math_qa__fPvuS6grUdlfmpDr | The average age of a class of 20 students is 21 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher? Choose the correct answer:
A) 40 B) 41 C) 42 D) 45 E) 43 | <gadget id="calculator">20 + 1</gadget>
<output>21</output>
<gadget id="calculator">21 + 1</gadget>
<output>22</output>
<gadget id="calculator">21 * 22</gadget>
<output>462</output>
<gadget id="calculator">20 * 21</gadget>
<output>420</output>
<gadget id="calculator">462 - 420</gadget>
<output>42</output>
<result>... | C | 42 | The average age of a class of 20 students is 21 years. The average increased by 1 when the teacher's age also included. What is the age of the teacher? | {
"A": "40",
"B": "41",
"C": "42",
"D": "45",
"E": "43"
} | subtract(multiply(add(20, 1), add(21, 1)), multiply(20, 21)) | add(n0,n2)|add(n1,n2)|multiply(n0,n1)|multiply(#0,#1)|subtract(#3,#2)| | "total age of all students = 20 ã — 21 total age of all students + age of the teacher = 21 ã — 22 age of the teacher = 21 ã — 22 â ˆ ’ 21 ã — 20 = 21 ( 22 â ˆ ’ 20 ) = 21 ã — 2 = 42 answer is c ." | general |
math_qa__1QVYrzxaW8UyLKm2 | If a and b are integers and (a*b)^5 = 128y, y could be: Choose the most appropriate option
A) 1 B) 2 C) 4 D) 8 E) 16 | <gadget id="calculator">2 ** 5</gadget>
<output>32</output>
<gadget id="calculator">128 / 32</gadget>
<output>4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<result>D</result> | D | 8 | If a and b are integers and (a*b)^5 = 128y, y could be: | {
"A": "1",
"B": "2",
"C": "4",
"D": "8",
"E": "16"
} | multiply(divide(128, power(const_2, 5)), const_2) | power(const_2,n0)|divide(n1,#0)|multiply(#1,const_2) | distribute the exponent . a ^ 5 * b ^ 5 = 128 y find the prime factorization of 96 . this is 2 ^ 5 * 2 ^ 2 . we need 2 ^ 3 ( or some other power of 2 that will give us a multiple of 2 ^ 5 as our second term ) . 2 ^ 3 = 8 the answer is d . | general |
math_qa__M9FoUAqOyBlIDpNK | A train after traveling for 50km meets with an accident and then proceeds at 3/4 of its former speed and arrives at its destination 35 minutes late . Had the accident occurred 24 km farther, it would have reached the destination only 25 minutes late. What is the speed T of the train. Choose the most appropriate option... | <gadget id="calculator">24 * 4</gadget>
<output>96</output>
<gadget id="calculator">96 / 3</gadget>
<output>32</output>
<gadget id="calculator">32 - 24</gadget>
<output>8</output>
<gadget id="calculator">35 - 25</gadget>
<output>10</output>
<gadget id="calculator">10 + 50</gadget>
<output>60</output>
<gadget id="c... | C | 48 | A train after traveling for 50km meets with an accident and then proceeds at 3/4 of its former speed and arrives at its destination 35 minutes late . Had the accident occurred 24 km farther, it would have reached the destination only 25 minutes late. What is the speed T of the train. | {
"A": "45",
"B": "33",
"C": "48",
"D": "55",
"E": "61"
} | multiply(subtract(divide(multiply(24, 4), 3), 24), divide(add(subtract(35, 25), 50), subtract(35, 25))) | multiply(n2,n4)|subtract(n3,n5)|add(n0,#1)|divide(#0,n1)|divide(#2,#1)|subtract(#3,n4)|multiply(#4,#5)| | "let y be the balance distance to be covered and x be the former speed . a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late so , y / ( 3 x / 4 ) - y / x = 35 / 60 4 y / 3 x - y / x = 7 / 12 y / x ( 4 / 3 - 1 ) = 7 / 12 y... | physics |
math_qa__tXLGSpQISJCa60MW | Jacob is now 12 years younger than Michael. If 5 years from now Michael will be twice as old as Jacob, how old will Jacob be in 4 years? Choose one:
A) 3
B) 7
C) 11
D) 21
E) 25 | <gadget id="calculator">12 + 5</gadget>
<output>17</output>
<gadget id="calculator">2 * 5</gadget>
<output>10</output>
<gadget id="calculator">17 - 10</gadget>
<output>7</output>
<gadget id="calculator">4 + 7</gadget>
<output>11</output>
<result>C</result> | C | 11 | Jacob is now 12 years younger than Michael. If 5 years from now Michael will be twice as old as Jacob, how old will Jacob be in 4 years? | {
"A": "3",
"B": "7",
"C": "11",
"D": "21",
"E": "25"
} | add(4, subtract(add(12, 5), multiply(const_2, 5))) | add(n0,n1)|multiply(n1,const_2)|subtract(#0,#1)|add(n2,#2)| | "jacob = x years , mike = x + 12 years 5 years from now , 2 ( x + 5 ) = x + 17 2 x + 10 = x + 17 x = 7 x + 4 = 11 years answer c" | general |
math_qa__y9iKq5jmhbh90uQC | Tea worth Rs.126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.143 per kg, the price of the third variety per kg will be Choose the correct choice from the following choices
A) rs . 165.50
B) rs . 1700
C) rs . 175.50
D) rs . 180
E) none | <gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">2 + 2</gadget>
<output>4</output>
<gadget id="calculator">143 * 4</gadget>
<output>572</output>
<gadget id="calculator">126 + 126</gadget>
<output>252</output>
<gadget id="calculator">572 - 252</gadget>
<output>320</output>
<gadget i... | A | 165.5 | Tea worth Rs.126 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.143 per kg, the price of the third variety per kg will be | {
"A": "rs . 165.50",
"B": "rs . 1700",
"C": "rs . 175.50",
"D": "rs . 180",
"E": "none"
} | divide(subtract(multiply(143, add(add(1, 1), 2)), add(126, 126)), 2) | add(n1,n1)|add(n0,n0)|add(n3,#0)|multiply(n4,#2)|subtract(#3,#1)|divide(#4,n3)| | "solution since first second varieties are mixed in equal proportions , so their average price = rs . ( 126 + 135 / 2 ) = rs . 130.50 so , the mixture is formed by mixing two varieties , one at rs . 130.50 per kg and the other at say , rs . x per kg in the ratio 2 : 2 , i . e . , 1 : 1 . we have to find x . x - 143 / 2... | other |
math_qa__gaGHi6i66yxwEu5k | 3 numbers are in the ratio 3 : 5 : 7 . the largest number is 56 . what is the difference between smallest and largest number ? Choose the correct choice from the following.
A) 20 B) 24 C) 28 D) 32 E) 36 | <gadget id="calculator">56 / 7</gadget>
<output>8</output>
<gadget id="calculator">3 * 8</gadget>
<output>24</output>
<gadget id="calculator">56 - 24</gadget>
<output>32</output>
<result>D</result> | D | 32 | 3 numbers are in the ratio 3 : 5 : 7 . the largest number is 56 . what is the difference between smallest and largest number ? | {
"A": "20",
"B": "24",
"C": "28",
"D": "32",
"E": "36"
} | subtract(56, multiply(3, divide(56, 7))) | divide(n4,n3)|multiply(n0,#0)|subtract(n4,#1) | the three numbers are 3 x , 5 x , and 7 x . the largest number is 56 = 7 * 8 , so x = 8 . the smallest number is 3 * 8 = 24 . 56 - 24 = 32 the answer is d . | other |
math_qa__iI1Ric1tgYcVRsPK | Mixture A is 20% oil and 80% material B by weight. If 2 more kilograms of oil are added to the 8 kilograms mixture A, how many kilograms of mixture A must be added to make a 70% material B in the new mixture?
Choose the correct answer
A) 6 B) 7 C) 8 D) 9 E) 10 | <gadget id="calculator">100 - 70</gadget>
<output>30</output>
<gadget id="calculator">30 - 20</gadget>
<output>10</output>
<gadget id="calculator">70 / 10</gadget>
<output>7</output>
<gadget id="calculator">7 * 2</gadget>
<output>14</output>
<gadget id="calculator">14 - 8</gadget>
<output>6</output>
<result>A</res... | A | 6 | Mixture A is 20% oil and 80% material B by weight. If 2 more kilograms of oil are added to the 8 kilograms mixture A, how many kilograms of mixture A must be added to make a 70% material B in the new mixture? | {
"A": "6",
"B": "7",
"C": "8",
"D": "9",
"E": "10"
} | subtract(multiply(divide(70, subtract(subtract(const_100, 70), 20)), 2), 8) | subtract(const_100,n4)|subtract(#0,n0)|divide(n4,#1)|multiply(n2,#2)|subtract(#3,n3) | old mix has 20 % oil . you add 2 kgs of 100 % oil . you get new mix with 30 % oil ( 70 % material b ) . w 1 / w 2 = ( 100 - 30 ) / ( 30 - 20 ) = 70 / 10 = 7 / 1 for every 7 parts of mix a , you have added 1 part of oil . since you have added 2 kgs oil , mix a must be 7 * 2 = 14 kgs . you already had 8 kgs of mix a , so... | general |
math_qa__2Gb0Ysa5yLasHL6V | Kanul spent $5000 in buying raw materials, $200 in buying machinery and 30% of the total amount he had as cash with him. What was the total amount? Select the correct option.
A) $ 7456.00 B) $ 7500.55 C) $ 7428.57 D) $ 7852.56 E) $ 7864.00 | <gadget id="calculator">5_000 + 200</gadget>
<output>5_200</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 - (3/10)</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">5_200 / (7/10)</gadget>
<output>52_000/7 = around 7_428.571429</outpu... | C | 7,428.57 | Kanul spent $5000 in buying raw materials, $200 in buying machinery and 30% of the total amount he had as cash with him. What was the total amount? | {
"A": "$ 7456.00",
"B": "$ 7500.55",
"C": "$ 7428.57",
"D": "$ 7852.56",
"E": "$ 7864.00"
} | divide(add(5000, 200), subtract(const_1, divide(30, const_100))) | add(n0,n1)|divide(n2,const_100)|subtract(const_1,#1)|divide(#0,#2)| | "let the total amount be x then , ( 100 - 20 ) % of x = 5000 + 200 70 % of x = 5200 70 x / 100 = 5200 x = $ 52000 / 7 x = $ 7428.57 answer is c" | gain |
math_qa__ZkZGo6m0iC6XCCND | Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.8 km?
Choices.
A) 660 m
B) 650 m
C) 570 m
D) 670 m
E) 680 m | <gadget id="calculator">1.8 * 1_000</gadget>
<output>1_800</output>
<gadget id="calculator">18 * 1_800</gadget>
<output>32_400</output>
<gadget id="calculator">32_400 / 48</gadget>
<output>675</output>
<result>D</result> | D | 670 | Amar takes as much time in running 18 meters as a car takes in covering 48 meters. What will be the distance covered by Amar during the time the car covers 1.8 km? | {
"A": "660 m",
"B": "650 m",
"C": "570 m",
"D": "670 m",
"E": "680 m"
} | divide(multiply(18, multiply(1.8, const_1000)), 48) | multiply(n2,const_1000)|multiply(n0,#0)|divide(#1,n1)| | "distance covered by amar = ( 18 / 48 ) * 1800 = 670 m answer : d" | physics |
math_qa__1edF8Xhmc4Wx47SC | In a theater, the first row has 15 seats and each row has 2 more seats than previous row. If the last row has 53 seats, what is the total number of seats in the theater?
Choose the correct option.
A) 600 B) 640 C) 680 D) 720 E) 760 | <gadget id="calculator">15 + 53</gadget>
<output>68</output>
<gadget id="calculator">68 / 2</gadget>
<output>34</output>
<gadget id="calculator">53 - 15</gadget>
<output>38</output>
<gadget id="calculator">38 + 2</gadget>
<output>40</output>
<gadget id="calculator">40 / 2</gadget>
<output>20</output>
<gadget id="c... | C | 680 | In a theater, the first row has 15 seats and each row has 2 more seats than previous row. If the last row has 53 seats, what is the total number of seats in the theater? | {
"A": "600",
"B": "640",
"C": "680",
"D": "720",
"E": "760"
} | multiply(divide(add(15, 53), const_2), divide(add(subtract(53, 15), 2), 2)) | add(n0,n2)|subtract(n2,n0)|add(n1,#1)|divide(#0,const_2)|divide(#2,n1)|multiply(#3,#4)| | "the number of seats in the theater is 15 + ( 15 + 2 ) + . . . + ( 15 + 38 ) = 20 ( 15 ) + 2 ( 1 + 2 + . . . + 19 ) = 20 ( 15 ) + 2 ( 19 ) ( 20 ) / 2 = 20 ( 15 + 19 ) = 20 ( 34 ) = 680 the answer is c ." | general |
math_qa__v8vgQDK80PN1YCx5 | Shipment --- No. of Defective Chips/shipment --- Total Chips in shipment
S1 ---------------------- 2 ------------------------------------------ 5,000
S2 ---------------------- 4 ------------------- ---------------------- 12,000
S3 ---------------------- 2 ------------------------------------------ 15,000
S4 -----------... | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">5 * 3</gadget>
<output>15</output>
<result>E</result> | E | 15 | Shipment --- No. of Defective Chips/shipment --- Total Chips in shipment
S1 ---------------------- 2 ------------------------------------------ 5,000
S2 ---------------------- 4 ------------------- ---------------------- 12,000
S3 ---------------------- 2 ------------------------------------------ 15,000
S4 -----------... | {
"A": "14",
"B": "20",
"C": "22",
"D": "24",
"E": "15"
} | multiply(add(2, 3), 3) | add(n1,n6)|multiply(n6,#0) | for a total of 51000 chips ( adding s 1 , s 2 , s 3 , s 4 ) total number of defective chips is 17 ( ( adding defective chips of s 1 , s 2 , s 3 , s 4 ) so ratio is 12 / 48000 or 1 every 4000 chips . keeping this ratio constant for 60000 chips number of defective chips will be ( 1 / 4000 ) * 60000 = 15 e | general |
math_qa__jux0SjxlAJADuCOS | If the length of a rectangle is increased by 10% and the area is unchanged , then its corresponding breadth must be decreased by? Choose the correct option:
A) 9 1 / 19 B) 9 1 / 15 C) 9 1 / 16 D) 9 1 / 11 E) 9 1 / 10 | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">1 / (11/10)</gadget>
<output>10/11 = around 0.909091</output>
<gadget id="calculator">(10/11) * 100</gadget>
<output>1_000/11 = around 9... | E | 9 | If the length of a rectangle is increased by 10% and the area is unchanged , then its corresponding breadth must be decreased by? | {
"A": "9 1 / 19",
"B": "9 1 / 15",
"C": "9 1 / 16",
"D": "9 1 / 11",
"E": "9 1 / 10"
} | subtract(const_100, multiply(divide(const_1, add(const_1, divide(10, const_100))), const_100)) | divide(n0,const_100)|add(#0,const_1)|divide(const_1,#1)|multiply(#2,const_100)|subtract(const_100,#3) | suppose length = 100 m and breadth = x m area = 100 m new length = 110 m and breadth = ( x - y % of x ) then , \ inline 110 \ times ( x - \ frac { y } { 100 } x ) = 100 \ times x \ inline \ rightarrow \ inline 110 \ times ( 1 - \ frac { y } { 100 } ) = 100 \ inline \ rightarrow \ inline 1 - \ frac { y } { 100 } = \ fra... | geometry |
math_qa__vahM1vFjSNXZkhF9 | Each factor of 200 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42?
Answers:
A) 1 / 16 B) 5 / 42 C) 1 / 8 D) 3 / 16 E) 1 / 9 | <gadget id="calculator">binomial(42, 1)</gadget>
<output>42</output>
<gadget id="calculator">42 / 42</gadget>
<output>1</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<result>E</result> | E | 0.111111 | Each factor of 200 is inscribed on its own plastic ball, and all of the balls are placed in a jar. If a ball is randomly selected from the jar, what is the probability that the ball is inscribed with a multiple of 42? | {
"A": "1 / 16",
"B": "5 / 42",
"C": "1 / 8",
"D": "3 / 16",
"E": "1 / 9"
} | divide(divide(choose(42, const_1), 42), power(const_3, const_2)) | choose(n1,const_1)|power(const_3,const_2)|divide(#0,n1)|divide(#2,#1) | 200 = 2 * 3 * 5 * 7 , so the # of factors 210 has is ( 1 + 1 ) ( 1 + 1 ) ( 1 + 1 ) ( 1 + 1 ) = 16 ( see below ) ; 42 = 2 * 3 * 7 , so out of 16 factors only two are multiples of 42 : 42 and 210 , itself ; so , the probability is 2 / 16 = 1 / 9 . answer : e . | other |
math_qa__rnerstrjx22paxth | 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 18 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 option: A) 14 B) 16 C) 21 D) 32 E) 48 | <gadget id="calculator">462 - 336</gadget>
<output>126</output>
<gadget id="calculator">126 / 18</gadget>
<output>7</output>
<gadget id="calculator">336 / 7</gadget>
<output>48</output>
<result>E</result> | E | 48 | 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 18 fewer miles per gallon in the city than on the highway, how many miles per gallon did the car travel in the city? | {
"A": "14",
"B": "16",
"C": "21",
"D": "32",
"E": "48"
} | divide(336, divide(subtract(462, 336), 18)) | 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 - 18 ) x solve for r , r = 66 66 - 18 = 48 mpg e" | physics |
math_qa__4vRSOCXtlKZ8U2KC | Can V and can В are both right circular cylinders. The radius of can V is twice the radius of can B, while the height of can V is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can V with the same brand of gasoline? Pick one... | <gadget id="calculator">2 ** 4</gadget>
<output>16</output>
<gadget id="calculator">16 * 2</gadget>
<output>32</output>
<gadget id="calculator">32 * 2</gadget>
<output>64</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calcul... | E | 16 | Can V and can В are both right circular cylinders. The radius of can V is twice the radius of can B, while the height of can V is half the height of can B. If it costs $4.00 to fill half of can B with a certain brand of gasoline, how much would it cost to completely fill can V with the same brand of gasoline? | {
"A": "$ 1",
"B": "$ 2",
"C": "$ 4",
"D": "$ 8",
"E": "$ 16"
} | multiply(4, divide(multiply(multiply(power(const_2, const_4), const_2), const_2), divide(multiply(multiply(const_2, power(const_2, const_2)), const_4), const_2))) | power(const_2,const_4)|power(const_2,const_2)|multiply(#0,const_2)|multiply(#1,const_2)|multiply(#2,const_2)|multiply(#3,const_4)|divide(#5,const_2)|divide(#4,#6)|multiply(n0,#7) | let x be the radius of b and 2 h be the height of b . therefore , radius of v = 2 x and height = h vol of b = 3.14 * x ^ 2 * 2 h vol of a = 3.14 * 4 x ^ 2 * h cost to fill half of b = $ 4 - - > cost to fill full b = $ 8 - - > 3.14 * x ^ 2 * 2 h = 8 - - > 3.14 * x ^ 2 * h = 4 - - > 4 * ( 3.14 * x ^ 2 * h ) = $ 16 ans e | geometry |
math_qa__HGSAnguP4XlsMGDp | X can give Y 100 meters start and Z 200 meters start in X kilometer race. How much start can Y give Z in X kilometer race? Answers
A) 112.2 m
B) 216.3 m
C) 111.12 m
D) 213.27 m
E) 222.40 m | <gadget id="calculator">200 - 100</gadget>
<output>100</output>
<gadget id="calculator">1_000 * 100</gadget>
<output>100_000</output>
<gadget id="calculator">1_000 - 100</gadget>
<output>900</output>
<gadget id="calculator">100_000 / 900</gadget>
<output>1_000/9 = around 111.111111</output>
<result>C</result> | C | 111.12 | X can give Y 100 meters start and Z 200 meters start in X kilometer race. How much start can Y give Z in X kilometer race? | {
"A": "112.2 m",
"B": "216.3 m",
"C": "111.12 m",
"D": "213.27 m",
"E": "222.40 m"
} | divide(multiply(const_1000, subtract(200, 100)), subtract(const_1000, 100)) | subtract(n1,n0)|subtract(const_1000,n0)|multiply(#0,const_1000)|divide(#2,#1) | c 111.12 m x runs 1000 m while y runs 900 m and z runs 800 m . the number of meters that z runs when y runs 1000 m , = ( 1000 * 800 ) / 900 = 8000 / 9 = 888.88 m . y can give z = 1000 - 888.88 = 111.12 m . | general |
math_qa__5FRxjlSroUh8uM4H | A sum of money deposited at C.I. amounts to Rs.1890 in 2 years and to Rs.2350 in 3 years. Find the rate percent? Answers:
A) 30 % B) 24 % C) 20 % D) 19 % E) 50 % | <gadget id="calculator">2_350 - 1_890</gadget>
<output>460</output>
<gadget id="calculator">460 / 1_890</gadget>
<output>46/189 = around 0.243386</output>
<gadget id="calculator">(46/189) * 100</gadget>
<output>4_600/189 = around 24.338624</output>
<result>B</result> | B | 24 | A sum of money deposited at C.I. amounts to Rs.1890 in 2 years and to Rs.2350 in 3 years. Find the rate percent? | {
"A": "30 %",
"B": "24 %",
"C": "20 %",
"D": "19 %",
"E": "50 %"
} | multiply(divide(subtract(2350, 1890), 1890), const_100) | subtract(n2,n0)|divide(#0,n0)|multiply(#1,const_100)| | "1890 - - - 460 100 - - - ? = > 24 % answer : b" | gain |
math_qa__Ag1XIlUUzL01Fe4A | What is the least number that should be added to 1053, so the sum of the number is divisible by 23? Choose the correct choice:
A) 1 B) 2 C) 3 D) 4 E) 5 | <gadget id="calculator">1_053 / 23</gadget>
<output>1_053/23 = around 45.782609</output>
<gadget id="calculator">floor(1_053/23)</gadget>
<output>45</output>
<gadget id="calculator">1 + 45</gadget>
<output>46</output>
<gadget id="calculator">46 - (1_053/23)</gadget>
<output>5/23 = around 0.217391</output>
<gadget i... | E | 5 | What is the least number that should be added to 1053, so the sum of the number is divisible by 23? | {
"A": "1",
"B": "2",
"C": "3",
"D": "4",
"E": "5"
} | multiply(subtract(add(const_1, floor(divide(1053, 23))), divide(1053, 23)), 23) | divide(n0,n1)|floor(#0)|add(#1,const_1)|subtract(#2,#0)|multiply(n1,#3)| | "( 1053 / 23 ) gives a remainder 18 so we need to add 5 . the answer is e ." | general |
math_qa__aOgb20nKCJjouM4V | The salary of A, B, C, D, E is Rs. 8000, Rs. 5000, Rs. 16000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D, and E per month is Choose the correct choice from the following: A) rs . 7000 B) rs . 8000 C) rs . 8500 D) rs . 9000 E) none | <gadget id="calculator">8_000 + 5_000</gadget>
<output>13_000</output>
<gadget id="calculator">13_000 + 16_000</gadget>
<output>29_000</output>
<gadget id="calculator">29_000 + 7_000</gadget>
<output>36_000</output>
<gadget id="calculator">36_000 + 9_000</gadget>
<output>45_000</output>
<gadget id="calculator">4 + ... | D | 9,000 | The salary of A, B, C, D, E is Rs. 8000, Rs. 5000, Rs. 16000, Rs. 7000, Rs. 9000 per month respectively, then the average salary of A, B, C, D, and E per month is | {
"A": "rs . 7000",
"B": "rs . 8000",
"C": "rs . 8500",
"D": "rs . 9000",
"E": "none"
} | divide(add(add(add(add(8000, 5000), 16000), 7000), 9000), add(const_4, const_1)) | add(n0,n1)|add(const_1,const_4)|add(n2,#0)|add(n3,#2)|add(n4,#3)|divide(#4,#1)| | "answer average salary = 8000 + 5000 + 16000 + 7000 + 9000 / 5 = rs . 9000 correct option : d" | general |
math_qa__4aI3o0mK2rsW3wqg | Find out the C.I on Rs.3000 at 4% p.a. compound half-yearly for 1 1/2 years Choose the correct choice from the following
A) 183.62 B) 106.07 C) 106.04 D) 106.03 E) 186.01 | <gadget id="calculator">4 / 100</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">1 + (1/25)</gadget>
<output>26/25 = around 1.04</output>
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(26/25) ** (3/2)</gadget>
<output>26*sqrt(26)/125 = around 1.0... | A | 183.62 | Find out the C.I on Rs.3000 at 4% p.a. compound half-yearly for 1 1/2 years | {
"A": "183.62",
"B": "106.07",
"C": "106.04",
"D": "106.03",
"E": "186.01"
} | subtract(multiply(3000, power(add(1, divide(4, const_100)), divide(const_3, 2))), 3000) | divide(n1,const_100)|divide(const_3,n4)|add(#0,n2)|power(#2,#1)|multiply(n0,#3)|subtract(#4,n0)| | "a = 3000 ( 51 / 50 ) 3 = 3183.62 3000 - - - - - - - - - - - 183.62 answer : a" | general |
math_qa__9tTNPxCmxvybu6OY | A number when divided by 20 leaves 6 as a remainder. What will be the remainder if the number is divided by 19? Choose the correct answer: A) 7 B) 6 C) 5 D) 11 E) 13 | <gadget id="calculator">20 + 6</gadget>
<output>26</output>
<gadget id="calculator">26 % 19</gadget>
<output>7</output>
<result>A</result> | A | 7 | A number when divided by 20 leaves 6 as a remainder. What will be the remainder if the number is divided by 19? | {
"A": "7",
"B": "6",
"C": "5",
"D": "11",
"E": "13"
} | reminder(add(20, 6), 19) | add(n0,n1)|reminder(#0,n2) | let the minimum whole number be 20 + 6 = 26 where 6 is the remainder . 26 when divided by 19 then leaves 7 . correct answer a . | general |
math_qa__i7fWbQYEYOkg2HwG | The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 5% p.a. was Rs.492. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned. Pick
A) rs . 4935 B) rs . 4925 C) rs . 5390 D) rs . 5290 E) rs . 5292 | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 + (1/20)</gadget>
<output>21/20 = around 1.05</output>
<gadget id="calculator">(21/20) ** 2</gadget>
<output>441/400 = around 1.1025</output>
<gadget id="calculator">(441/400) - 1</gadget>
<output>41/400 = around 0... | E | 5,292 | The compound interest earned by Sunil on a certain amount at the end of two years at the rate of 5% p.a. was Rs.492. Find the total amount that Sunil got back at the end of two years in the form of principal plus interest earned. | {
"A": "rs . 4935",
"B": "rs . 4925",
"C": "rs . 5390",
"D": "rs . 5290",
"E": "rs . 5292"
} | add(divide(492, subtract(power(add(const_1, divide(5, const_100)), const_2), const_1)), 492) | divide(n0,const_100)|add(#0,const_1)|power(#1,const_2)|subtract(#2,const_1)|divide(n1,#3)|add(n1,#4)| | "let the sum be rs . p p { [ 1 + 5 / 100 ] 2 - 1 } = 492 p ( 5 / 100 ) ( 2 + 5 / 100 ) = 492 [ a 2 - b 2 = ( a - b ) ( a + b ) ] p = 492 / ( 0.05 ) ( 2.05 ) = 4800 . amount = 4800 + 492 = rs . 5292 answer : e" | gain |
math_qa__wTIwRIe20PJl9Sr8 | A train 220 m long is running with a speed of 90 km/hr. In what time will it pass a bus that is running with a speed of 60 km/hr in the direction opposite to that in which the train is going? Choices
A) 4.37 B) 5.28 C) 6.75 D) 8 E) 3.1 | <gadget id="calculator">90 + 60</gadget>
<output>150</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">150 * (5/18)</gadget>
<output>125/3 = around 41.666667</output>
<gadget id="calculator">220 / (125/3)</gadget>
<output>132/25 = around 5.28</output>
... | B | 5.28 | A train 220 m long is running with a speed of 90 km/hr. In what time will it pass a bus that is running with a speed of 60 km/hr in the direction opposite to that in which the train is going? | {
"A": "4.37",
"B": "5.28",
"C": "6.75",
"D": "8",
"E": "3.1"
} | divide(220, multiply(add(90, 60), const_0_2778)) | add(n1,n2)|multiply(#0,const_0_2778)|divide(n0,#1)| | "speed of train relative to bus = 90 + 60 = 150 km / hr . = 150 * 5 / 18 = 125 / 3 m / sec . time taken to pass the bus = 220 * 3 / 125 = 5.28 sec . answer : b" | physics |
math_qa__IggE2Lhhm9kvQdCa | A number is doubled and 9 is added. If resultant is trebled, it becomes 57. What is that number Choose the correct choice from the following choices
A) 5 B) 10 C) 12 D) 14 E) 15 | <gadget id="calculator">3 * 9</gadget>
<output>27</output>
<gadget id="calculator">57 - 27</gadget>
<output>30</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">30 / 6</gadget>
<output>5</output>
<result>A</result> | A | 5 | A number is doubled and 9 is added. If resultant is trebled, it becomes 57. What is that number | {
"A": "5",
"B": "10",
"C": "12",
"D": "14",
"E": "15"
} | divide(subtract(57, multiply(const_3, 9)), multiply(const_3, const_2)) | multiply(n0,const_3)|multiply(const_2,const_3)|subtract(n1,#0)|divide(#2,#1)| | "explanation : = > 3 ( 2 x + 9 ) = 57 = > 2 x + 9 = 19 = > x = 5 answer : option a" | general |
math_qa__XwqFnI16bzwmF3rf | Tim and Élan are 30 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan? Choose the correct choice from the following options
A... | <gadget id="calculator">5 + 10</gadget>
<output>15</output>
<gadget id="calculator">10 / 15</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(2/3) * 30</gadget>
<output>20</output>
<result>A</result> | A | 20 | Tim and Élan are 30 miles away from one another. They are starting to move towards each other simultaneously, Tim at a speed of 10 Mph and Élan at a speed of 5 Mph. If every hour they double their speeds, what is the distance that Tim will pass until he meets Élan? | {
"A": "20 miles .",
"B": "35 miles .",
"C": "45 miles .",
"D": "60 miles .",
"E": "65 miles ."
} | multiply(divide(10, add(5, 10)), 30) | add(n1,n2)|divide(n1,#0)|multiply(n0,#1)| | "tim and elan will meet at the same time while their ratio of speed is 2 : 1 respectively . so their individual distance traveled ratio will be same . plugging in the answer choice only answer choice a meet the 2 : 1 ( tim : elan = 20 : 10 ) ratio of maintaining total distance traveled 30 miles so correct answer a" | physics |
math_qa__aTvpp0St1hHVrPD7 | 2 pipes can separately fill a tank in 20hrs and 30hrs respectively. Both the pipes are opened tofill the tank, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank?
Choose the correct choice from the following choices:
A) 10 hrs ... | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 + (1/3)</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
... | C | 16 | 2 pipes can separately fill a tank in 20hrs and 30hrs respectively. Both the pipes are opened tofill the tank, a leak develops in the tank through which one-third of water supplied by both the pipes goes out. What is the total time taken to fill the tank? | {
"A": "10 hrs",
"B": "12 hrs",
"C": "16 hrs",
"D": "18 hrs",
"E": "20 hrs"
} | divide(add(const_1, divide(const_1, const_3)), add(inverse(20), inverse(30))) | divide(const_1,const_3)|inverse(n1)|inverse(n2)|add(#0,const_1)|add(#1,#2)|divide(#3,#4)| | "1 / 20 + 1 / 30 = 1 / 12 1 + 1 / 3 = 4 / 3 1 - - - 12 4 / 3 - - - ? 4 / 3 * 12 = 16 hrs c" | general |
math_qa__uia8PEKg4004oE4w | There are 99 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there?
Choices:
A) 2
B) 4
C) 8
D) 69
E) 32 | <gadget id="calculator">15 + 10</gadget>
<output>25</output>
<gadget id="calculator">25 + 5</gadget>
<output>30</output>
<gadget id="calculator">30 + 3</gadget>
<output>33</output>
<gadget id="calculator">99 - 33</gadget>
<output>66</output>
<gadget id="calculator">66 + 3</gadget>
<output>69</output>
<result>D</re... | D | 69 | There are 99 people that own pets. 15 people own only dogs, 10 people own only cats, 5 people own only cats and dogs, 3 people own cats, dogs and snakes. How many total snakes are there? | {
"A": "2",
"B": "4",
"C": "8",
"D": "69",
"E": "32"
} | add(subtract(99, add(add(add(15, 10), 5), 3)), 3) | add(n1,n2)|add(n3,#0)|add(n4,#1)|subtract(n0,#2)|add(n4,#3)| | "lets assign variables to all the areas in venn diagram of three . three different units are dog , cat , snake = total = 99 only dog = d = 15 only cat = c = 10 only snake = s exactly dog and cat = 5 exactly dog and snake = x exactly cat and snake = y all three = 3 so 99 = 15 + 10 + 5 + 3 + x + y + s we need to know tot... | general |
math_qa__GNJkh5s8DZ9DzYx0 | The simple interest on Rs. 8 for 12 months at the rate of 5 paise per rupeeper month is Choices: A) 1.2 B) 4.8 C) 4.4 D) 3.21 E) none | <gadget id="calculator">8 * 12</gadget>
<output>96</output>
<gadget id="calculator">96 * 5</gadget>
<output>480</output>
<gadget id="calculator">480 / 100</gadget>
<output>24/5 = around 4.8</output>
<result>B</result> | B | 4.8 | The simple interest on Rs. 8 for 12 months at the rate of 5 paise per rupeeper month is | {
"A": "1.2",
"B": "4.8",
"C": "4.4",
"D": "3.21",
"E": "none"
} | divide(multiply(multiply(8, 12), 5), const_100) | multiply(n0,n1)|multiply(n2,#0)|divide(#1,const_100)| | "sol . s . i . = rs . [ 8 * 5 / 100 * 12 ] = rs . 4.8 answer b" | gain |
math_qa__jANmHtO81AgJ7PMr | Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 36 hours respectively. The ratio of their speeds is? Select.
A) 4 : 9 B) 4 : 3 C) 4 : 5 D) 3 : 1 E) 4 : 2 | <gadget id="calculator">36 ** (1/2)</gadget>
<output>6</output>
<gadget id="calculator">4 ** (1/2)</gadget>
<output>2</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<result>D</result> | D | 3 | Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 4 hours and 36 hours respectively. The ratio of their speeds is? | {
"A": "4 : 9",
"B": "4 : 3",
"C": "4 : 5",
"D": "3 : 1",
"E": "4 : 2"
} | divide(sqrt(36), sqrt(4)) | sqrt(n1)|sqrt(n0)|divide(#0,#1)| | "let us name the trains a and b . then , ( a ' s speed ) : ( b ' s speed ) = √ b : √ a = √ 36 : √ 4 = 6 : 2 = 3 : 1 answer : d" | physics |
math_qa__XLMvgadiZo0PrMKY | If 12% of x is equal to 6% of y, then 18% of x will be equal to how much % of y ? Choose the correct choice from the following answers: A) 7 % B) 9 % C) 11 % D) 12 % E) none of these | <gadget id="calculator">6 * 18</gadget>
<output>108</output>
<gadget id="calculator">108 / 12</gadget>
<output>9</output>
<result>B</result> | B | 9 | If 12% of x is equal to 6% of y, then 18% of x will be equal to how much % of y ? | {
"A": "7 %",
"B": "9 %",
"C": "11 %",
"D": "12 %",
"E": "none of these"
} | divide(multiply(6, 18), 12) | multiply(n1,n2)|divide(#0,n0) | we have , 12 % of x = 6 % of y = > 2 % of x = 1 % of y = > ( 2 x 9 ) % of x = ( 1 x 9 ) % of y thus , 18 % of x = 9 % of y . answer : b | general |
math_qa__kopy4A4ZhR0ZJ42r | Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 80 litres of tomato juice?
Choose the correct choice from the following: A) 2.8 liters . B) 2.5 liters . C) 8.5 liters . D) 2.6 liters . E)... | <gadget id="calculator">100 - 90</gadget>
<output>10</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) * 80</gadget>
<output>8</output>
<gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">80 / 100</gadget>
<output>4... | E | 10 | Heinz produces tomato puree by boiling tomato juice. The tomato puree has only 20% water while the tomato juice has 90% water. How many liters of tomato puree will be obtained from 80 litres of tomato juice? | {
"A": "2.8 liters .",
"B": "2.5 liters .",
"C": "8.5 liters .",
"D": "2.6 liters .",
"E": "10 liters ."
} | divide(multiply(divide(subtract(const_100, 90), const_100), 80), divide(subtract(const_100, 20), const_100)) | subtract(const_100,n1)|subtract(const_100,n0)|divide(#0,const_100)|divide(#1,const_100)|multiply(n2,#2)|divide(#4,#3)| | "answer : explanation : in each of the solutions , there is a pure tomato component and some water . so while boiling , water evaporates but tomato not . so we equate tomato part in the both equations . â ‡ ’ â ‡ ’ 10 % ( 80 ) = 80 % ( x ) â ‡ ’ â ‡ ’ x = 10 liters . answer : e" | gain |
math_qa__D9Na5GeJf3dlDsSv | A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 30 percent of the drive from the center, what percent of the round-trip has the technician completed? Choose the correct choice from the following choices:
A) 6... | <gadget id="calculator">100 / 2</gadget>
<output>50</output>
<gadget id="calculator">30 * 50</gadget>
<output>1_500</output>
<gadget id="calculator">1_500 / 100</gadget>
<output>15</output>
<gadget id="calculator">50 + 15</gadget>
<output>65</output>
<result>B</result> | B | 65 | A technician makes a round-trip to and from a certain service center by the same route. If the technician completes the drive to the center and then completes 30 percent of the drive from the center, what percent of the round-trip has the technician completed? | {
"A": "60",
"B": "65",
"C": "55",
"D": "50",
"E": "55"
} | add(divide(const_100, const_2), divide(multiply(30, divide(const_100, const_2)), const_100)) | divide(const_100,const_2)|multiply(n0,#0)|divide(#1,const_100)|add(#0,#2) | round trip means 2 trips i . e . to and fro . he has completed one i . e 50 % completed . then he traveled another 30 % of 50 % i . e 15 % . so he completed 50 + 15 = 65 % of total trip . b | gain |
math_qa__lOMCLtOu05HLYRGb | On dividing 127 by a number, the quotient is 9 and the remainder is 1. Find the divisor. Choose the correct choice from the following.
A) 12
B) 14
C) 16
D) 18
E) 22 | <gadget id="calculator">127 / 9</gadget>
<output>127/9 = around 14.111111</output>
<gadget id="calculator">floor(127/9)</gadget>
<output>14</output>
<result>B</result> | B | 14 | On dividing 127 by a number, the quotient is 9 and the remainder is 1. Find the divisor. | {
"A": "12",
"B": "14",
"C": "16",
"D": "18",
"E": "22"
} | floor(divide(127, 9)) | divide(n0,n1)|floor(#0)| | "d = ( d - r ) / q = ( 127 - 1 ) / 9 = 126 / 9 = 14 b )" | general |
math_qa__NLTRcCg5gdznE6vp | A 300 meter long train crosses a platform in 45 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? Choose the correct option:
A) 99 B) 450 C) 350 D) 882 E) 281 | <gadget id="calculator">300 / 18</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">(50/3) * 45</gadget>
<output>750</output>
<gadget id="calculator">750 - 300</gadget>
<output>450</output>
<result>B</result> | B | 450 | A 300 meter long train crosses a platform in 45 seconds while it crosses a signal pole in 18 seconds. What is the length of the platform? | {
"A": "99",
"B": "450",
"C": "350",
"D": "882",
"E": "281"
} | subtract(multiply(divide(300, 18), 45), 300) | divide(n0,n2)|multiply(n1,#0)|subtract(#1,n0)| | "speed = [ 300 / 18 ] m / sec = 50 / 3 m / sec . let the length of the platform be x meters . then , x + 300 / 45 = 50 / 3 3 ( x + 300 ) = 2250 è x = 450 m . answer : b" | physics |
math_qa__UVJvyHtvGuATl9Rf | The ratio between the number of sheep and the number of horses at the Stewart farm is 3 to 7, If each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm? Choose the correct choice from the following answers.
A) 24 B) 28 C... | <gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">8 * 10</gadget>
<output>80</output>
<gadget id="calculator">8 * 100</gadget>
<output>800</output>
<gadget id="calculator">80 + 800</gadget>
<output>880</output>
<gadget id="calculator">12 * 1_000</gadget>
<output>12_000</output>
<gad... | A | 24 | The ratio between the number of sheep and the number of horses at the Stewart farm is 3 to 7, If each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day, what is the number of sheep in the farm? | {
"A": "24",
"B": "28",
"C": "32",
"D": "56",
"E": "60"
} | multiply(divide(divide(add(add(multiply(multiply(const_4, const_2), const_10), multiply(multiply(const_4, const_2), const_100)), multiply(const_12, const_1000)), 230), 7), 3) | multiply(const_2,const_4)|multiply(const_1000,const_12)|multiply(#0,const_10)|multiply(#0,const_100)|add(#2,#3)|add(#4,#1)|divide(#5,n2)|divide(#6,n1)|multiply(n0,#7) | let the number of sheeps and horses be 3 x and 7 x . now total number of horses = total consumption of horse food / consumption per horse = 12880 / 230 = 56 , which is equal to 7 x . = > x = 8 sheeps = 3 x = 3 * 8 = 24 . hence a | other |
math_qa__Jg3uN3dgiReTF5du | If A(k)=(k+1)^2, and k=1, what is the value of A(A(A(A(k))))?
Choose the correct choice from the following answers: A) 328359 B) 557321 C) 258327 D) 458329 E) 4422 | <gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">25 + 1</gadget>
<output>26</output>
<gadget id="calculat... | D | 458,329 | If A(k)=(k+1)^2, and k=1, what is the value of A(A(A(A(k))))? | {
"A": "328359",
"B": "557321",
"C": "258327",
"D": "458329",
"E": "4422"
} | power(add(power(add(power(add(power(add(1, 1), 2), 1), 2), 1), 2), 1), 2) | add(n0,n0)|power(#0,n1)|add(n0,#1)|power(#2,n1)|add(n0,#3)|power(#4,n1)|add(n0,#5)|power(#6,n1) | a ( a ( a ( a ( 1 ) ) ) ) = a ( a ( a ( 4 ) ) ) = a ( a ( 25 ) ) = a ( 676 ) = 677 ^ 2 = 458329 thus , the answer is d . | general |
math_qa__t8MhooCf6t0aoiqr | From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 20 percent. What percent of the stock’s 2007 starting price was the price of the stock at the end of 2009?
Select:
A) 80 B) 90 C) 95 D) 100 E) 108 | <gadget id="calculator">100 + 20</gadget>
<output>120</output>
<gadget id="calculator">120 / 100</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">100 * (6/5)</gadget>
<output>120</output>
<gadget id="calculator">100 - 25</gadget>
<output>75</output>
<gadget id="calculator">75 / 100</gadget>
<outpu... | E | 108 | From the beginning to the end of 2007, the price of a stock rose 20 percent. In 2008, it dropped 25 percent. In 2009, it rose 20 percent. What percent of the stock’s 2007 starting price was the price of the stock at the end of 2009? | {
"A": "80",
"B": "90",
"C": "95",
"D": "100",
"E": "108"
} | multiply(multiply(multiply(const_100, divide(add(const_100, 20), const_100)), divide(subtract(const_100, 25), const_100)), divide(add(const_100, 20), const_100)) | add(n5,const_100)|add(n1,const_100)|subtract(const_100,n3)|divide(#0,const_100)|divide(#2,const_100)|divide(#1,const_100)|multiply(#5,const_100)|multiply(#4,#6)|multiply(#3,#7)| | "assume a value at the beginning of 2007 . as this is a % question , assume p = 100 . at the end of 2007 it becmae = 1.2 * 100 = 120 at the end of 2008 it decreased by 25 % = 120 * . 75 = 90 at the end of 2009 it increased by 20 % = 90 * 1.2 = 108 thus ratio = 108 / 100 = 1.08 ( in % terms = 108 % ) . thus e is the cor... | gain |
math_qa__DUQaC1KXE2fQwS7K | A 8% stock yields 20%. The market value of the stock is: Choose the correct choice from the following answers:
A) rs 48 B) rs 45 C) rs 40 D) rs 50 E) rs 55 | <gadget id="calculator">100 / 20</gadget>
<output>5</output>
<gadget id="calculator">5 * 8</gadget>
<output>40</output>
<result>C</result> | C | 40 | A 8% stock yields 20%. The market value of the stock is: | {
"A": "rs 48",
"B": "rs 45",
"C": "rs 40",
"D": "rs 50",
"E": "rs 55"
} | multiply(divide(const_100, 20), 8) | divide(const_100,n1)|multiply(n0,#0)| | "explanation : for an income of rs . 20 , investment = rs . 100 . for an income of rs 8 , investment = rs . 100 / 20 x 8 = rs 40 market value of rs . 100 stock = rs 40 answer is c" | gain |
math_qa__83PMYEIQAWWZT83v | In a certain accounting class of 100 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 65%, and the students on the make-up date had an average score of 95%, what was the avera... | <gadget id="calculator">70 * 65</gadget>
<output>4_550</output>
<gadget id="calculator">100 - 70</gadget>
<output>30</output>
<gadget id="calculator">95 * 30</gadget>
<output>2_850</output>
<gadget id="calculator">4_550 + 2_850</gadget>
<output>7_400</output>
<gadget id="calculator">7_400 / 100</gadget>
<output>74<... | D | 74 | In a certain accounting class of 100 students, 70% of the students took the final exam on the assigned day while the rest of the students took the exam on a make-up date. If the students on the assigned day had an average score of 65%, and the students on the make-up date had an average score of 95%, what was the avera... | {
"A": "68 %",
"B": "70 %",
"C": "72 %",
"D": "74 %",
"E": "77 %"
} | divide(add(multiply(70, 65), multiply(95, subtract(100, 70))), 100) | multiply(n1,n2)|subtract(n0,n1)|multiply(n3,#1)|add(#0,#2)|divide(#3,n0)| | "70 % of the class scored 65 % and 30 % of the class scored 95 % . the difference between 65 % and 95 % is 30 % . the average will be 65 % + 0.3 ( 30 % ) = 74 % . the answer is d ." | general |
math_qa__0KybvvNnN1jZfTLW | The maximum number of student amoung them 1020 pens and 860 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :
Options: A) 20 B) 40 C) 60 D) 80 E) none of these | <gadget id="calculator">gcd(1_020, 860)</gadget>
<output>20</output>
<result>A</result> | A | 20 | The maximum number of student amoung them 1020 pens and 860 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : | {
"A": "20",
"B": "40",
"C": "60",
"D": "80",
"E": "none of these"
} | gcd(1020, 860) | gcd(n0,n1)| | "solution required number of student = h . c . f of 1020 and 860 = 20 . answer a" | general |
math_qa__4oZ8A1yjQZsYB9hc | There were totally 100 men.80 are married.75 have T.V, 85 have radio,70 have A.C. How many men have T.V, radio, A.C and also married? Choose the correct answer: A) 10 B) 12 C) 13 D) 14 E) 15 | <gadget id="calculator">100 - 80</gadget>
<output>20</output>
<gadget id="calculator">100 - 75</gadget>
<output>25</output>
<gadget id="calculator">20 + 25</gadget>
<output>45</output>
<gadget id="calculator">100 - 85</gadget>
<output>15</output>
<gadget id="calculator">45 + 15</gadget>
<output>60</output>
<gadget... | A | 10 | There were totally 100 men.80 are married.75 have T.V, 85 have radio,70 have A.C. How many men have T.V, radio, A.C and also married? | {
"A": "10",
"B": "12",
"C": "13",
"D": "14",
"E": "15"
} | subtract(100, add(add(add(subtract(100, 80), subtract(100, 75)), subtract(100, 85)), subtract(100, 70))) | subtract(n0,n1)|subtract(n0,n2)|subtract(n0,n3)|subtract(n0,n4)|add(#0,#1)|add(#4,#2)|add(#5,#3)|subtract(n0,#6)| | "100 - ( 100 - 80 ) - ( 100 - 75 ) - ( 100 - 85 ) - ( 100 - 70 ) = 100 - 20 - 25 - 15 - 30 = 100 - 90 = 10 answer : a" | general |
math_qa__s7RjGt9PTcdX3gpr | A boy wanted to calculate his speed on his bike. His starting point was 350 meters from the turning point. He made the round trip 5 times in 30 minutes. What was the boy's speed in kilometers per hour? Choose the correct choice from the following choices:
A) 1.75 B) 1 C) 2.25 D) 2.4 E) 3.2 | <gadget id="calculator">350 / 1_000</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">5 * (7/20)</gadget>
<output>7/4 = around 1.75</output>
<result>A</result> | A | 1.75 | A boy wanted to calculate his speed on his bike. His starting point was 350 meters from the turning point. He made the round trip 5 times in 30 minutes. What was the boy's speed in kilometers per hour? | {
"A": "1.75",
"B": "1",
"C": "2.25",
"D": "2.4",
"E": "3.2"
} | multiply(5, divide(350, const_1000)) | divide(n0,const_1000)|multiply(n1,#0) | the distance between the the starting point and the turning point was 350 meters . the boy made the round trip 5 times so that was 10 times he traveled 350 meters . 10 * 350 = 3500 meters or 3.5 km . 30 minutes is half of an hour . divide the 3500 meters in half to put in the right time interval 3500 / 2 = 1750 meters ... | physics |
math_qa__hgHqq3MpShxxdvVc | If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 222 responses are needed, what is the minimum number of questionnaires that should be mailed? Choose the correct choice from the following answers:
A) 280 B) 370 C) 460 D) 550 E) 640 | <gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">222 / (3/5)</gadget>
<output>370</output>
<result>B</result> | B | 370 | If it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 222 responses are needed, what is the minimum number of questionnaires that should be mailed? | {
"A": "280",
"B": "370",
"C": "460",
"D": "550",
"E": "640"
} | divide(222, divide(60, const_100)) | divide(n0,const_100)|divide(n1,#0)| | "let x be the minimum number of questionnaires to be mailed . 0.6 x = 222 x = 370 the answer is b ." | gain |
math_qa__yBXQeyUpHFXXPJ86 | To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced.How many parts the company made? Pick
A) 675 B) 778 C) 654 D) 412 E) 589 | <gadget id="calculator">25 + 5</gadget>
<output>30</output>
<gadget id="calculator">30 * 3</gadget>
<output>90</output>
<gadget id="calculator">90 + 100</gadget>
<output>190</output>
<gadget id="calculator">25 * 3</gadget>
<output>75</output>
<gadget id="calculator">190 - 75</gadget>
<output>115</output>
<gadget i... | A | 675 | To deliver an order on time, a company has to make 25 parts a day. After making 25 parts per day for 3 days, the company started to produce 5 more parts per day, and by the last day of work 100 more parts than planned were produced.How many parts the company made? | {
"A": "675",
"B": "778",
"C": "654",
"D": "412",
"E": "589"
} | add(multiply(divide(subtract(add(multiply(add(25, 5), 3), 100), multiply(25, 3)), 5), 25), 100) | add(n0,n3)|multiply(n0,n2)|multiply(n2,#0)|add(n4,#2)|subtract(#3,#1)|divide(#4,n3)|multiply(n0,#5)|add(n4,#6)| | "let x be the number of days the company worked . then 25 x is the number of parts they planned to make . at the new production rate they made : 3 ⋅ 25 + ( x − 3 ) ⋅ 30 = 75 + 30 ( x − 3 ) therefore : 25 x = 75 + 30 ( x − 3 ) − 100 25 x = 75 + 30 x − 90 − 100 190 − 75 = 30 x − 25 115 = 5 x x = 23 so the company worked ... | physics |
math_qa__Bri9A4DXlqo5wEuI | How many integerskgreater than 100 and less than 1100 are there such that if the hundreds and the units digits ofkare reversed, the resulting integer is k+99? Choose the correct choice from the following answers.
A) 50 B) 60 C) 70 D) 80 E) 90 | <gadget id="calculator">100 / 10</gadget>
<output>10</output>
<gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">10 * 8</gadget>
<output>80</output>
<gadget id="calculator">80 + 10</gadget>
<output>90</output>
<result>E</result> | E | 90 | How many integerskgreater than 100 and less than 1100 are there such that if the hundreds and the units digits ofkare reversed, the resulting integer is k+99? | {
"A": "50",
"B": "60",
"C": "70",
"D": "80",
"E": "90"
} | add(multiply(divide(100, const_10), multiply(const_2, const_4)), divide(100, const_10)) | divide(n0,const_10)|multiply(const_2,const_4)|multiply(#0,#1)|add(#0,#2) | numbers will be like 102 = > 201 = 102 + 99 203 = > 302 = 103 + 99 so the hundereth digit and units digit are consecutive where unit digit is bigger than hundred digit . there will be ninet pairs of such numbers for every pair there will 10 numbers like for 12 = > 102 , 112,132 , 142,152 , 162,172 , 182,192 . total = 9... | general |
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