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__ZEAxgCtnt6EpDkce | The average marks obtained by 120 candidates in a certain examination is 35.Find the total marks. Choose the correct option:
A) 3800
B) 4500
C) 5200
D) 3400
E) 4200 | <gadget id="calculator">120 * 35</gadget>
<output>4_200</output>
<result>E</result> | E | 4,200 | The average marks obtained by 120 candidates in a certain examination is 35.Find the total marks. | {
"A": "3800",
"B": "4500",
"C": "5200",
"D": "3400",
"E": "4200"
} | multiply(120, 35) | multiply(n0,n1)| | "following the above formula , we have the total marks = 120 * 35 = 4200 answer is e" | general |
math_qa__4NgBpMGVDfdDL9tk | According to the directions on the can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounces cans of the concentrate are required to prepare 280 6 ounces servings of orange juice?
Choose the correct choice from the following.
A) 35
B) 34
C)... | <gadget id="calculator">280 * 6</gadget>
<output>1_680</output>
<gadget id="calculator">1_680 / 12</gadget>
<output>140</output>
<gadget id="calculator">140 / 4</gadget>
<output>35</output>
<result>A</result> | A | 35 | According to the directions on the can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12 ounces cans of the concentrate are required to prepare 280 6 ounces servings of orange juice? | {
"A": "35",
"B": "34",
"C": "50",
"D": "67",
"E": "100"
} | divide(divide(multiply(280, 6), 12), const_4) | multiply(n3,n4)|divide(#0,n2)|divide(#1,const_4)| | "its a . total juice rquired = 280 * 6 = 1680 ounce 12 ounce concentate makes = 12 * 4 = 48 ounce juice total cans required = 1680 / 48 = 35 . answer a" | general |
math_qa__7nE17yhWRZSnO1tf | A box contains either blue or red flags. The total number of flags in the box is an even number. A group of children are asked to pick up two flags each. If all the flags are used up in the process such that 60% of the children have blue flags, and 45% have red flags, what percentage of children have flags of both the ... | <gadget id="calculator">60 + 45</gadget>
<output>105</output>
<gadget id="calculator">105 - 100</gadget>
<output>5</output>
<result>A</result> | A | 5 | A box contains either blue or red flags. The total number of flags in the box is an even number. A group of children are asked to pick up two flags each. If all the flags are used up in the process such that 60% of the children have blue flags, and 45% have red flags, what percentage of children have flags of both the ... | {
"A": "5 %",
"B": "10 %",
"C": "15 %",
"D": "20 %",
"E": "it can not be determined"
} | subtract(add(60, 45), const_100) | add(n0,n1)|subtract(#0,const_100)| | "solution : let the total number of flags be 100 ( even number ) let the total number of ' blue ' flags alone be ' a ' let the total number of ' red ' flags alone be ' b ' let the total number of ' both ' flags be ' c ' we have given , total number of blue flags = 60 % = 60 = a + c total number of red flags = 45 % = 45... | general |
math_qa__7DayLlhVhGZyWB7Q | If the perimeter of a rectangular playground is 1200 m, its length when its breadth is 500 m is? Choose the correct choice.
A) 300 B) 200 C) 100 D) 400 E) 500 | <gadget id="calculator">1_200 / 2</gadget>
<output>600</output>
<gadget id="calculator">600 - 500</gadget>
<output>100</output>
<result>C</result> | C | 100 | If the perimeter of a rectangular playground is 1200 m, its length when its breadth is 500 m is? | {
"A": "300",
"B": "200",
"C": "100",
"D": "400",
"E": "500"
} | subtract(divide(1200, const_2), 500) | divide(n0,const_2)|subtract(#0,n1)| | 2 ( l + 500 ) = 1200 = > l = 100 m answer : c | physics |
math_qa__T8KCElBo7A3LXtki | What is the average (arithmetic mean) of all multiples of 10 from 10 to 500 inclusive? Pick:
A) 190
B) 255
C) 200
D) 205
E) 210 | <gadget id="calculator">10 + 500</gadget>
<output>510</output>
<gadget id="calculator">500 - 10</gadget>
<output>490</output>
<gadget id="calculator">490 / 10</gadget>
<output>49</output>
<gadget id="calculator">49 + 1</gadget>
<output>50</output>
<gadget id="calculator">510 * 50</gadget>
<output>25_500</output>
<... | B | 255 | What is the average (arithmetic mean) of all multiples of 10 from 10 to 500 inclusive? | {
"A": "190",
"B": "255",
"C": "200",
"D": "205",
"E": "210"
} | divide(divide(multiply(add(10, 500), add(divide(subtract(500, 10), 10), const_1)), const_2), add(divide(subtract(500, 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 500 , inclusive . to start , we can figure out the total number of terms rather easily : 1 ( 10 ) = 10 2 ( 10 ) = 20 . . . 50 ( 10 ) = 500 so we know that there are 50 total num... | general |
math_qa__tgi1vxtYJc9XSS2g | A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 14km? Choose the correct answer.
A) 3
B) 6
C) 8
D) 9
E) 7 | <gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">14 / 2</gadget>
<output>7</output>
<result>E</result> | E | 7 | A person can swim in still water at 4 km/h. If the speed of water 2 km/h, how many hours will the man take to swim back against the current for 14km? | {
"A": "3",
"B": "6",
"C": "8",
"D": "9",
"E": "7"
} | divide(14, subtract(4, 2)) | subtract(n0,n1)|divide(n2,#0) | m = 4 s = 2 us = 4 - 2 = 2 d = 14 t = 14 / 2 = 7 answer : e | physics |
math_qa__eYnIRytTkhUZ4C9Q | Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money?
Choose the correct choice from the following answers:
A) 1500
B) 2677
C) 1997
D) 2677
E) 1971 | <gadget id="calculator">10 * 2</gadget>
<output>20</output>
<gadget id="calculator">15 / 20</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) * 100</gadget>
<output>75</output>
<gadget id="calculator">75 * 20</gadget>
<output>1_500</output>
<result>A</result> | A | 1,500 | Find the sum The difference between the compound and S.I. on a certain sum of money for 2 years at 10% per annum is Rs.15of money? | {
"A": "1500",
"B": "2677",
"C": "1997",
"D": "2677",
"E": "1971"
} | multiply(multiply(divide(15, multiply(10, 2)), const_100), multiply(10, 2)) | multiply(n0,n1)|divide(n2,#0)|multiply(#1,const_100)|multiply(#2,#0) | p = 15 ( 100 / 10 ) 2 = > p = 1500 answer : a | general |
math_qa__ym8HhpDPF4P7oTgo | one bottle is half-full of oil and another bottle with twice the capacity is one quarter full of oil. if water is added so that both the bottles are full and the contents of both are then poured into a third bottle that is empty and large enough to hold the contents of both, what fractions of the contents in the third ... | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 / 4</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) + (1/2)</gadget>
<output>1</output>
<gadget id="calculator">2 - (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">1 -... | B | 0.333333 | one bottle is half-full of oil and another bottle with twice the capacity is one quarter full of oil. if water is added so that both the bottles are full and the contents of both are then poured into a third bottle that is empty and large enough to hold the contents of both, what fractions of the contents in the third ... | {
"A": "1 / 4",
"B": "1 / 3",
"C": "3 / 8",
"D": "2 / 3",
"E": "1 / 2"
} | divide(add(divide(const_1, const_2), divide(const_2, const_4)), add(add(subtract(const_2, divide(const_2, const_4)), subtract(const_1, divide(const_1, const_2))), add(divide(const_1, const_2), divide(const_2, const_4)))) | divide(const_1,const_2)|divide(const_2,const_4)|add(#0,#1)|subtract(const_2,#1)|subtract(const_1,#0)|add(#3,#4)|add(#5,#2)|divide(#2,#6) | let assume that 1 st bottle capacity = 1 litre ; therefore , it contain 1 / 2 litre oil and 1 / 2 litre water . ( i . e ) water = 1 / 2 litre oil = 1 / 2 litre 2 nd bottle is twice the capacity i . e . 2 litre capacity it means , 1 / 2 litre filled with oil and 1 ( 1 / 2 ) litre filled with water . i . e . oil = 1 / 2 ... | general |
math_qa__HLCY7j1JIFzhZar6 | A box contains 12 pairs of shoes (24 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes? Choose the correct option: A) 1 / 190 B) 1 / 23 C) 1 / 19 D) 1 / 10 E) 1 / 9 | <gadget id="calculator">24 - 1</gadget>
<output>23</output>
<gadget id="calculator">1 / 23</gadget>
<output>1/23 = around 0.043478</output>
<result>B</result> | B | 0.043478 | A box contains 12 pairs of shoes (24 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes? | {
"A": "1 / 190",
"B": "1 / 23",
"C": "1 / 19",
"D": "1 / 10",
"E": "1 / 9"
} | divide(const_1, subtract(24, const_1)) | subtract(n1,const_1)|divide(const_1,#0)| | "the problem with your solution is that we do n ' t choose 1 shoe from 24 , but rather choose the needed one after we just took one and need the second to be the pair of it . so , the probability would simply be : 1 / 1 * 1 / 23 ( as after taking one at random there are 23 shoes left and only one is the pair of the fir... | general |
math_qa__hdzLNOJdWdhS7UsR | If 2^5, 3^3, and 10^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w? Pick: A) 26 B) 39 C) 120 D) 65 E) 156 | <gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">4 * 3</gadget>
<output>12</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">12 * 5</gadget>
<output>60</output>
<gadget id="calculator">60 * 2</gadget>
<output>120</output>
<result>C</result... | C | 120 | If 2^5, 3^3, and 10^2 are all factors of the product of 936 and w where w is a positive integer, what is the smallest possible value of w? | {
"A": "26",
"B": "39",
"C": "120",
"D": "65",
"E": "156"
} | multiply(multiply(multiply(power(2, 2), 3), divide(10, 2)), 2) | divide(n4,n0)|power(n0,n0)|multiply(n2,#1)|multiply(#0,#2)|multiply(n0,#3)| | "here 156 has three two ' s two three ' s and one 10 rest of them must be in w so w = 10 * 3 * 4 = 120 smash c" | general |
math_qa__ULAIOxuuWpT8orMa | How long does a train 130 m long running at the speed of 65 km/hr takes to cross a bridge 150 m length?
Choices: A) 15.7 sec B) 15.1 sec C) 15.5 sec D) 17.1 sec E) 16.7 sec | <gadget id="calculator">130 + 150</gadget>
<output>280</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">65 * (5/18)</gadget>
<output>325/18 = around 18.055556</output>
<gadget id="calculator">280 / (325/18)</gadget>
<output>1_008/65 = around 15.507692<... | C | 15.5 | How long does a train 130 m long running at the speed of 65 km/hr takes to cross a bridge 150 m length? | {
"A": "15.7 sec",
"B": "15.1 sec",
"C": "15.5 sec",
"D": "17.1 sec",
"E": "16.7 sec"
} | divide(add(130, 150), multiply(65, const_0_2778)) | add(n0,n2)|multiply(n1,const_0_2778)|divide(#0,#1)| | "speed = 65 * 5 / 18 = 18.1 m / sec total distance covered = 130 + 150 = 280 m . required time = 280 / 18.1 ' = 15.5 sec . answer : c" | physics |
math_qa__54ZZSkMVSYs36PoS | Arun and Tarun can do a work in 10 days.After 4 days tarun went to his village.How many days are required to complete the remaining work by Arun alone.Arun can do the work alone in 60 days. Choices.
A) 36 days . B) 17 days . C) 18 days . D) 19 days . E) 20 days . | <gadget id="calculator">60 / 10</gadget>
<output>6</output>
<gadget id="calculator">6 * 4</gadget>
<output>24</output>
<gadget id="calculator">60 - 24</gadget>
<output>36</output>
<result>A</result> | A | 36 | Arun and Tarun can do a work in 10 days.After 4 days tarun went to his village.How many days are required to complete the remaining work by Arun alone.Arun can do the work alone in 60 days. | {
"A": "36 days .",
"B": "17 days .",
"C": "18 days .",
"D": "19 days .",
"E": "20 days ."
} | subtract(60, multiply(divide(60, 10), 4)) | divide(n2,n0)|multiply(n1,#0)|subtract(n2,#1)| | "they together completed 4 / 10 work in 4 days . balance 6 / 10 work will be completed by arun alone in 60 * 6 / 10 = 36 days . answer : a" | physics |
math_qa__7FA2y8898MOYjXyJ | In a school with 5 classes, each class has 2 students less then the previous class. How many students are there in the largest class if the total number of students at school is 95? Select the correct option
A) 17 B) 19 C) 21 D) 23 E) 25 | <gadget id="calculator">2 + 2</gadget>
<output>4</output>
<gadget id="calculator">2 + 4</gadget>
<output>6</output>
<gadget id="calculator">4 + 2</gadget>
<output>6</output>
<gadget id="calculator">6 + 6</gadget>
<output>12</output>
<gadget id="calculator">6 + 2</gadget>
<output>8</output>
<gadget id="calculator">... | D | 23 | In a school with 5 classes, each class has 2 students less then the previous class. How many students are there in the largest class if the total number of students at school is 95? | {
"A": "17",
"B": "19",
"C": "21",
"D": "23",
"E": "25"
} | add(divide(subtract(95, add(add(add(2, add(2, 2)), add(add(2, 2), 2)), add(add(add(2, 2), 2), 2))), 5), add(add(add(2, 2), 2), 2)) | add(n1,n1)|add(n1,#0)|add(n1,#1)|add(#1,#1)|add(#3,#2)|subtract(n2,#4)|divide(#5,n0)|add(#2,#6)| | "total classes = 5 total students = 95 . average = 19 if the classes had average number of students : 19 19 19 19 19 given case = 23 21 19 17 15 hence number of students in the largest class = 23 correct option : d" | general |
math_qa__wrkaafWZlKtn94fq | Jane and Thomas are among the 6 people from which a committee of 3 people is to be selected. How many different possible committees of 3 people can be selected from these 6 people if at least one of either Jane or Thomas is to be selected? Choose the most appropriate option
A) 12 B) 14 C) 16 D) 18 E) 20 | <gadget id="calculator">binomial(6, 1)</gadget>
<output>6</output>
<gadget id="calculator">6 + 6</gadget>
<output>12</output>
<gadget id="calculator">binomial(4, 1)</gadget>
<output>4</output>
<gadget id="calculator">12 + 4</gadget>
<output>16</output>
<result>C</result> | C | 16 | Jane and Thomas are among the 6 people from which a committee of 3 people is to be selected. How many different possible committees of 3 people can be selected from these 6 people if at least one of either Jane or Thomas is to be selected? | {
"A": "12",
"B": "14",
"C": "16",
"D": "18",
"E": "20"
} | add(add(choose(6, const_1), choose(6, const_1)), choose(const_4, const_1)) | choose(n0,const_1)|choose(const_4,const_1)|add(#0,#0)|add(#2,#1) | the total number of ways to choose 3 people from 6 is 6 c 3 = 20 . the number of committees without jane or thomas is 4 c 3 = 4 . there are 20 - 4 = 16 possible committees which include jane and / or thomas . the answer is c . | probability |
math_qa__qdfp7YFMOJhSWlhy | If a train, travelling at a speed of 180 kmph, crosses a pole in 5 sec, then the length of train is? Choose the correct choice:
A) 250 m B) 112 m C) 117 m D) 125 m E) 123 m | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">180 * (5/18)</gadget>
<output>50</output>
<gadget id="calculator">50 * 5</gadget>
<output>250</output>
<result>A</result> | A | 250 | If a train, travelling at a speed of 180 kmph, crosses a pole in 5 sec, then the length of train is? | {
"A": "250 m",
"B": "112 m",
"C": "117 m",
"D": "125 m",
"E": "123 m"
} | multiply(multiply(180, const_0_2778), 5) | multiply(n0,const_0_2778)|multiply(n1,#0)| | "a a = 180 * 5 / 18 * 5 = 250 m" | physics |
math_qa__QY1RkO5VxmUblyhi | If 6<x<10<y<17, then what is the greatest possible positive integer difference of x and y? Pick:
A) 3
B) 4
C) 10
D) 6
E) 7 | <gadget id="calculator">17 - 6</gadget>
<output>11</output>
<gadget id="calculator">11 - 1</gadget>
<output>10</output>
<result>C</result> | C | 10 | If 6<x<10<y<17, then what is the greatest possible positive integer difference of x and y? | {
"A": "3",
"B": "4",
"C": "10",
"D": "6",
"E": "7"
} | subtract(subtract(17, 6), const_1) | subtract(n2,n0)|subtract(#0,const_1)| | "let x = 6.1 and y = 16.1 greatest possible difference = 16.1 - 6.1 = 10 answer c" | general |
math_qa__8vt4gYVAkWMIGQ3A | 9 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 12 cm height. What is the diameter of each sphere? Pick one:
A) 4 cm B) 6 cm C) 8 cm D) 10 cm E) 12 cm | <gadget id="calculator">16 / 2</gadget>
<output>8</output>
<gadget id="calculator">pi * (8 ** 2) * 12</gadget>
<output>768*pi = around 2_412.743158</output>
<gadget id="calculator">(768*pi) / pi</gadget>
<output>768</output>
<gadget id="calculator">768 * 3</gadget>
<output>2_304</output>
<gadget id="calculator">2_3... | C | 8 | 9 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 12 cm height. What is the diameter of each sphere? | {
"A": "4 cm",
"B": "6 cm",
"C": "8 cm",
"D": "10 cm",
"E": "12 cm"
} | multiply(divide(divide(divide(divide(multiply(divide(volume_cylinder(divide(16, const_2), 12), const_pi), const_3), const_4), 9), const_4), const_4), const_2) | divide(n1,const_2)|volume_cylinder(#0,n2)|divide(#1,const_pi)|multiply(#2,const_3)|divide(#3,const_4)|divide(#4,n0)|divide(#5,const_4)|divide(#6,const_4)|multiply(#7,const_2) | volume of cylinder = pi * r ^ 2 * h volume of a sphere = 4 * pi * r ^ 3 / 3 9 * 4 * pi * r ^ 3 / 3 = pi * r ^ 2 * h r ^ 3 = r ^ 2 * h / 12 = 64 cm ^ 3 r = 4 cm d = 8 cm the answer is c . | physics |
math_qa__ZVStvgm3asnQy89h | A survey was sent to 90 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey? Choose the correct choice from the following answers
A) 2 % B) 6 ... | <gadget id="calculator">9 / 63</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">7 / 90</gadget>
<output>7/90 = around 0.077778</output>
<gadget id="calculator">(1/7) - (7/90)</gadget>
<output>41/630 = around 0.065079</output>
<gadget id="calculator">(41/630) * 100</gadget>
<output>410/63 = aro... | B | 6 | A survey was sent to 90 customers, 7 of whom responded. Then the survey was redesigned and sent to another 63 customers, 9 of whom responded. By approximately what percent did the response rate increase from the original survey to the redesigned survey? | {
"A": "2 %",
"B": "6 %",
"C": "14 %",
"D": "28 %",
"E": "63 %"
} | floor(multiply(subtract(divide(9, 63), divide(7, 90)), const_100)) | divide(n3,n2)|divide(n1,n0)|subtract(#0,#1)|multiply(#2,const_100)|floor(#3)| | "case 1 : ( 7 / 90 ) = x / 100 x = 8 % case 2 : ( 9 / 63 ) = y / 100 y = 14 % so percent increase is = ( y - x ) = ( 14 - 8 ) % = 6 % answer is b" | gain |
math_qa__3E8wY6ptLqCwAWGI | A car started running at a speed of 29 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey. Pick one.
A) 41 km B) 76 km C) 25 km D) 15 km E) 30 km | <gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">29 + 20</gadget>
<output>49</output>
<gadget id="calculator">49 + 29</gadget>
<output>78</output>
<gadget id="calculator">78 / 2</gadget>
<output>39</output>
<result>A</result> | A | 41 | A car started running at a speed of 29 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey. | {
"A": "41 km",
"B": "76 km",
"C": "25 km",
"D": "15 km",
"E": "30 km"
} | divide(add(add(29, multiply(2, 10)), 29), 2) | multiply(n1,n2)|add(n0,#0)|add(n0,#1)|divide(#2,n1)| | "a 41 km the total distance covered by the car in the first 10 hours = 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48 + 50 = sum of 10 terms in ap whose first term is 32 and last term is 50 = 10 / 2 [ 32 + 50 ] = 410 km ." | physics |
math_qa__Qzgkt5m8ijFXdwvC | A Deer passed a certain tree at a constant speed of 50 miles per hour while being chased by a Cheetah. Then, 2 minutes later, the Cheetah passed the same tree at a constant speed of 60 miles per hour. If both animals maintained their speeds, how long after the Cheetah passed the tree did the Cheetah catch up with the d... | <gadget id="calculator">60 / 60</gadget>
<output>1</output>
<result>D</result> | D | 1 | A Deer passed a certain tree at a constant speed of 50 miles per hour while being chased by a Cheetah. Then, 2 minutes later, the Cheetah passed the same tree at a constant speed of 60 miles per hour. If both animals maintained their speeds, how long after the Cheetah passed the tree did the Cheetah catch up with the d... | {
"A": "30 min",
"B": "3 min",
"C": "1 hr",
"D": "1 min",
"E": "2 min"
} | divide(60, 60) | divide(n2,n2) | when the cheetah is at the tree , the deer is 50 / 30 miles ahead on the highway . ( the distance covered in 2 min ) every hour , cheetah runs 10 miles more than the deer . how many hours will it takes it to cover 50 / 30 miles more ? the answer is ( 50 / 30 ) / 10 = 1 / 60 = 1 min answer d | physics |
math_qa__l8mcQNrR0neAcC8K | The minimum number of tiles of size 16 by 24 required to form a square by placing them adjacent to one another is Choose the most appropriate option
A) 4 tiles
B) 5 tiles
C) 6 tiles
D) 7 tiles
E) 8 tiles | <gadget id="calculator">24 / 4</gadget>
<output>6</output>
<result>C</result> | C | 6 | The minimum number of tiles of size 16 by 24 required to form a square by placing them adjacent to one another is | {
"A": "4 tiles",
"B": "5 tiles",
"C": "6 tiles",
"D": "7 tiles",
"E": "8 tiles"
} | divide(24, const_4) | divide(n1,const_4) | lcm of 16,24 = 48 48 * 48 is the minimum size of square made with 16 by 24 tiles number of tiles required = area of square / area of one tile = 48 * 48 / ( 16 * 24 ) = 6 tiles answer : c | geometry |
math_qa__nwajocLu628lW4V4 | Sandy bought 65 books for $1380 from one shop and 55 books for $900 from another shop. What is the average price that Sandy paid per book? Choose one
A) $ 13 B) $ 15 C) $ 17 D) $ 19 E) $ 21 | <gadget id="calculator">1_380 + 900</gadget>
<output>2_280</output>
<gadget id="calculator">65 + 55</gadget>
<output>120</output>
<gadget id="calculator">2_280 / 120</gadget>
<output>19</output>
<result>D</result> | D | 19 | Sandy bought 65 books for $1380 from one shop and 55 books for $900 from another shop. What is the average price that Sandy paid per book? | {
"A": "$ 13",
"B": "$ 15",
"C": "$ 17",
"D": "$ 19",
"E": "$ 21"
} | divide(add(1380, 900), add(65, 55)) | add(n1,n3)|add(n0,n2)|divide(#0,#1) | average price per book = ( 1380 + 900 ) / ( 65 + 55 ) = 2280 / 120 = $ 19 the answer is d . | general |
math_qa__hSdyL9idfrDr1fi0 | The simple interest on Rs. 23 for 3 months at the rate of 5 paise per rupeeper month is
Choose the correct choice from the following choices:
A) 3.45
B) 4.5
C) 2.25
D) 3.21
E) none | <gadget id="calculator">23 * 3</gadget>
<output>69</output>
<gadget id="calculator">69 * 5</gadget>
<output>345</output>
<gadget id="calculator">345 / 100</gadget>
<output>69/20 = around 3.45</output>
<result>A</result> | A | 3.45 | The simple interest on Rs. 23 for 3 months at the rate of 5 paise per rupeeper month is | {
"A": "3.45",
"B": "4.5",
"C": "2.25",
"D": "3.21",
"E": "none"
} | divide(multiply(multiply(23, 3), 5), const_100) | multiply(n0,n1)|multiply(n2,#0)|divide(#1,const_100) | sol . s . i . = rs . [ 23 * 5 / 100 * 3 ] = rs . 3.45 answer a | gain |
math_qa__rjN5DRQXclYYZRFU | The weight of a glass of jar is 15% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar? Pick one.
A) 1 / 5 B) 1 / 3 C) 2 / 5 D) 9 / 17 E) 9 / 23 | <gadget id="calculator">60 - 15</gadget>
<output>45</output>
<gadget id="calculator">100 - 15</gadget>
<output>85</output>
<gadget id="calculator">45 / 85</gadget>
<output>9/17 = around 0.529412</output>
<result>D</result> | D | 0.529412 | The weight of a glass of jar is 15% of the weight of the jar filled with coffee beans. After some of the beans have been removed, the weight of the jar and the remaining beans is 60% of the original total weight. What fraction part of the beans remain in the jar? | {
"A": "1 / 5",
"B": "1 / 3",
"C": "2 / 5",
"D": "9 / 17",
"E": "9 / 23"
} | divide(subtract(60, 15), subtract(const_100, 15)) | subtract(n1,n0)|subtract(const_100,n0)|divide(#0,#1)| | "let weight of jar filled with beans = 100 g weight of jar = 15 g weight of coffee beans = 85 g weight of jar and remaining beans = 60 g weight of remaining beans = 45 g fraction remaining = 45 / 85 = 9 / 17 answer is d ." | gain |
math_qa__sJ6L7DA5CEPYEUfj | In a factory, an average of 50 TV's are produced per day for the fist 25days of the months. A few workers fell ill for the next 5days reducing the daily avg for the month to 48 sets/day . The average production per day for day last 5days is ? Choose the correct answer
A) 20 B) 36 C) 48 D) 38 E) 59 | <gadget id="calculator">25 + 5</gadget>
<output>30</output>
<gadget id="calculator">30 * 48</gadget>
<output>1_440</output>
<gadget id="calculator">25 * 50</gadget>
<output>1_250</output>
<gadget id="calculator">1_440 - 1_250</gadget>
<output>190</output>
<gadget id="calculator">190 / 5</gadget>
<output>38</output>... | D | 38 | In a factory, an average of 50 TV's are produced per day for the fist 25days of the months. A few workers fell ill for the next 5days reducing the daily avg for the month to 48 sets/day . The average production per day for day last 5days is ? | {
"A": "20",
"B": "36",
"C": "48",
"D": "38",
"E": "59"
} | divide(subtract(multiply(add(25, 5), 48), multiply(25, 50)), 5) | add(n1,n2)|multiply(n0,n1)|multiply(n3,#0)|subtract(#2,#1)|divide(#3,n2)| | "production during these 5 days = total production in a month - production in first 25 days . = 30 x 48 - 25 x 50 = 190 ∴ average for last 5 days = 190 / 5 = 38 d" | general |
math_qa__VzmR3HYiSPCriKdd | Pradeep has to obtain 40% of the total marks to pass. He got 200 marks and failed by 20 marks. The maximum marks are Choose one
A) 300
B) 600
C) 550
D) 1000
E) 900 | <gadget id="calculator">200 + 20</gadget>
<output>220</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">220 / (2/5)</gadget>
<output>550</output>
<result>C</result> | C | 550 | Pradeep has to obtain 40% of the total marks to pass. He got 200 marks and failed by 20 marks. The maximum marks are | {
"A": "300",
"B": "600",
"C": "550",
"D": "1000",
"E": "900"
} | divide(add(200, 20), divide(40, const_100)) | add(n1,n2)|divide(n0,const_100)|divide(#0,#1)| | "explanation : let their maximum marks be x . then , 40 % of x = 200 + 20 = > 40 / 100 x = 220 x = ( 22000 / 40 ) x = 550 . answer : c" | general |
math_qa__HWilEwCn48tgFQEx | A batsman makes a score of 56 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning? Choose the correct choice from the following answers:
A) 25 B) 8 C) 27 D) 29 E) 39 | <gadget id="calculator">17 * 3</gadget>
<output>51</output>
<gadget id="calculator">56 - 51</gadget>
<output>5</output>
<gadget id="calculator">5 + 3</gadget>
<output>8</output>
<result>B</result> | B | 8 | A batsman makes a score of 56 runs in the 17th inning and thus increases his averages by 3. What is his average after 17th inning? | {
"A": "25",
"B": "8",
"C": "27",
"D": "29",
"E": "39"
} | add(subtract(56, multiply(17, 3)), 3) | multiply(n1,n2)|subtract(n0,#0)|add(n2,#1)| | "let the average after 17 innings = x total runs scored in 17 innings = 17 x average after 16 innings = ( x - 3 ) total runs scored in 16 innings = 16 ( x - 3 ) total runs scored in 16 innings + 56 = total runs scored in 17 innings = > 16 ( x - 3 ) + 56 = 17 x = > 16 x - 48 + 56 = 17 x = > x = 8 answer is b ." | general |
math_qa__kes1yT3tT8HM5wig | If 2x + y = 6 and x + 2y = 5, then (x + y)/3 = Choose one: A) 1 B) 4 / 3 C) 17 / 5 D) 11 / 9 E) 4 | <gadget id="calculator">6 * 2</gadget>
<output>12</output>
<gadget id="calculator">12 - 5</gadget>
<output>7</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">7 / 3</gadget>
<output>7/3 = around 2.333333</output>
<ga... | D | 1.222222 | If 2x + y = 6 and x + 2y = 5, then (x + y)/3 = | {
"A": "1",
"B": "4 / 3",
"C": "17 / 5",
"D": "11 / 9",
"E": "4"
} | divide(add(divide(subtract(multiply(6, 2), 5), subtract(multiply(2, 2), const_1)), subtract(6, multiply(2, divide(subtract(multiply(6, 2), 5), subtract(multiply(2, 2), const_1))))), 3) | multiply(n0,n1)|multiply(n0,n0)|subtract(#0,n3)|subtract(#1,const_1)|divide(#2,#3)|multiply(n0,#4)|subtract(n1,#5)|add(#4,#6)|divide(#7,n4) | we have two equations : 2 x + y = 6 x + 2 y = 5 notice that something nice happens when we add them . we get : 3 x + 3 y = 11 divide both sides by 3 to get : x + y = 11 / 3 so , ( x + y ) / 3 = 11 / 9 answer : d | general |
math_qa__GAZtgy97XMWabzPp | If M and N are positive integers and M = 15N - 1, what is the remainder when M is divided by 5? Choose the correct choice from the following answers
A) 0 B) 1 C) 2 D) 3 E) 4 | <gadget id="calculator">15 * 2</gadget>
<output>30</output>
<gadget id="calculator">30 - 1</gadget>
<output>29</output>
<gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">29 - 25</gadget>
<output>4</output>
<result>E</result> | E | 4 | If M and N are positive integers and M = 15N - 1, what is the remainder when M is divided by 5? | {
"A": "0",
"B": "1",
"C": "2",
"D": "3",
"E": "4"
} | subtract(subtract(multiply(15, const_2), 1), multiply(5, 5)) | multiply(n0,const_2)|multiply(n2,n2)|subtract(#0,n1)|subtract(#2,#1) | this question asks what is . . . ( the answer ) , so we know that the answer will be consistent . as such , we can test values to quickly get the solution . we ' re told that m and n are positive integers and m = 15 n - 1 . we ' re asked for the remainder when m is divided by 5 . if . . . . n = 1 m = 14 14 / 5 = 2 rema... | general |
math_qa__sIreRLVbyFWxDHW8 | A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at:
Choose the correct choice.
A) 4.6 %
B) 3.6 %
C) 6.4 %
D) 7.8 %
E) 8.9 % | <gadget id="calculator">4_000 / 100</gadget>
<output>40</output>
<gadget id="calculator">40 * 5</gadget>
<output>200</output>
<gadget id="calculator">500 - 200</gadget>
<output>300</output>
<gadget id="calculator">3_500 / 100</gadget>
<output>35</output>
<gadget id="calculator">35 * 4</gadget>
<output>140</output>
... | C | 6.4 | A man has $ 10,000 to invest. He invests $ 4000 at 5 % and $ 3500 at 4 %. In order to have a yearly income of $ 500, he must invest the remainder at: | {
"A": "4.6 %",
"B": "3.6 %",
"C": "6.4 %",
"D": "7.8 %",
"E": "8.9 %"
} | divide(subtract(subtract(500, multiply(divide(4000, const_100), 5)), multiply(divide(3500, const_100), 4)), divide(subtract(subtract(multiply(const_100, const_100), 4000), 3500), const_100)) | divide(n1,const_100)|divide(n3,const_100)|multiply(const_100,const_100)|multiply(n2,#0)|multiply(n4,#1)|subtract(#2,n1)|subtract(n5,#3)|subtract(#5,n3)|divide(#7,const_100)|subtract(#6,#4)|divide(#9,#8)| | "c 6.4 % income from $ 4000 at 5 % in one year = $ 4000 of 5 % . = $ 4000 × 5 / 100 . = $ 4000 × 0.05 . = $ 200 . income from $ 3500 at 4 % in one year = $ 3500 of 4 % . = $ 3500 × 4 / 100 . = $ 3500 × 0.04 . = $ 140 . total income from 4000 at 5 % and 3500 at 4 % = $ 200 + $ 140 = $ 340 . remaining income amount in or... | gain |
math_qa__dAnFOqrxld8xlbWn | workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25 lacs . How many workers were they? Choose the correct option: A) 350 B) 400 C) 500 D) 550 E) 590 | <gadget id="calculator">3.25 - 3</gadget>
<output>0.25</output>
<gadget id="calculator">0.25 * 1_000</gadget>
<output>250</output>
<gadget id="calculator">250 * 100</gadget>
<output>25_000</output>
<gadget id="calculator">25_000 / 50</gadget>
<output>500</output>
<result>C</result> | C | 500 | workers decided to raise Rs.3 lacs by equal contribution from each. Had they contributed Rs.50 eachextra, the contribution would have been Rs.3.25 lacs . How many workers were they? | {
"A": "350",
"B": "400",
"C": "500",
"D": "550",
"E": "590"
} | divide(multiply(multiply(subtract(3.25, 3), const_1000), const_100), 50) | subtract(n2,n0)|multiply(#0,const_1000)|multiply(#1,const_100)|divide(#2,n1)| | "n * 50 = ( 325000 - 300000 ) = 25000 n = 25000 / 50 = 500 c" | general |
math_qa__pXMQVoxQXZOYHGSS | In the xy-coordinate system, if (m, n) and (m 1 2, n 1 k) are two points on the line
with the equation x 5 2y 1 5, then k 5 Select the correct option:
A) 1 / 2
B) 1
C) 2
D) 5 / 2
E) 4 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 * (1/2)</gadget>
<output>1</output>
<result>B</result> | B | 1 | In the xy-coordinate system, if (m, n) and (m 1 2, n 1 k) are two points on the line
with the equation x 5 2y 1 5, then k 5 | {
"A": "1 / 2",
"B": "1",
"C": "2",
"D": "5 / 2",
"E": "4"
} | multiply(2, divide(1, 2)) | divide(n0,n1)|multiply(n1,#0) | step 1 : analyze the question for any question involving the equation of a line , a good place to start is the slope - intercept form of the line , y = mx 1 b . remember that if you have two points on a line , you can derive the entire equation , and if you have an equation of the line , you can calculate any points on... | general |
math_qa__qEKy1yBHZWZsMUgh | If 625^(-x) + 25^(-2x) + 5^(-4x) = 11, what is the value of x?
Choose the correct choice from the following answers: A) - 4 B) - 1 / 4 C) 0 D) 1 / 4 E) 4 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<result>D</result> | D | 0.25 | If 625^(-x) + 25^(-2x) + 5^(-4x) = 11, what is the value of x? | {
"A": "- 4",
"B": "- 1 / 4",
"C": "0",
"D": "1 / 4",
"E": "4"
} | divide(const_1, 4) | divide(const_1,n4) | we ' re told that 625 ^ ( - x ) + 25 ^ ( - 2 x ) + 5 ^ ( - 4 x ) = 15 . we ' re asked for the value of x . since each of the calculated terms must be positive ( regardless of what the exponent is ) , we can use thebasesto our advantage . . . . . with answer a , we ' d have 625 ^ 4 , which is much bigger than 15 ( and w... | general |
math_qa__8XCVsRK09xYmpOln | Find √? /13 = 4 ? Choose the correct choice from the following options.
A) 76 B) 5776 C) 304 D) 2704 E) none | <gadget id="calculator">4 * 13</gadget>
<output>52</output>
<gadget id="calculator">52 ** 2</gadget>
<output>2_704</output>
<result>D</result> | D | 2,704 | Find √? /13 = 4 ? | {
"A": "76",
"B": "5776",
"C": "304",
"D": "2704",
"E": "none"
} | power(multiply(4, 13), const_2) | multiply(n0,n1)|power(#0,const_2)| | "answer let √ n / 13 = 4 then √ n = 13 x 4 = 52 ∴ n = 52 x 52 = 2704 . correct option : d" | general |
math_qa__AZEZtImRQRoRICpF | How many odd prime numbers are there less than 125? Choose the correct option.
A) 29
B) 34
C) 44
D) 54
E) 64 | <gadget id="calculator">125 - 100</gadget>
<output>25</output>
<gadget id="calculator">25 + 4</gadget>
<output>29</output>
<result>A</result> | A | 29 | How many odd prime numbers are there less than 125? | {
"A": "29",
"B": "34",
"C": "44",
"D": "54",
"E": "64"
} | add(subtract(125, const_100), const_4) | subtract(n0,const_100)|add(#0,const_4) | odd prime number less than 125 : 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 , 41 , 43 , 47 , 53 , 59 , 61 , 67 , 71 , 73 , 79 , 83 , 89 , 97 , 101 , 103 , 107 , 109 , 113 there is 29 the odd prime number answer is a | general |
math_qa__oInTXIvDJ7klOhVn | The radius of a semi circle is 3.1 cm then its perimeter is?
Choose the correct choice:
A) 15.94
B) 12.41
C) 16.1
D) 32.92
E) 32.3 | <gadget id="calculator">2 * pi * 3.1</gadget>
<output>6.2*pi = around 19.477874</output>
<gadget id="calculator">(6.2*pi) / 2</gadget>
<output>3.1*pi = around 9.738937</output>
<gadget id="calculator">3.1 * 2</gadget>
<output>6.2</output>
<gadget id="calculator">(3.1*pi) + 6.2</gadget>
<output>6.2 + 3.1*pi = around ... | A | 15.94 | The radius of a semi circle is 3.1 cm then its perimeter is? | {
"A": "15.94",
"B": "12.41",
"C": "16.1",
"D": "32.92",
"E": "32.3"
} | add(divide(circumface(3.1), const_2), multiply(3.1, const_2)) | circumface(n0)|multiply(n0,const_2)|divide(#0,const_2)|add(#2,#1)| | "36 / 7 r = 6.3 = 15.94 answer : a" | physics |
math_qa__uY7BKcgQmbboOTGz | A, Band C can do a piece of work in 11 days, 5 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days? Choose one
A) 5 days
B) 8 days
C) 9 days
D) 10 days
E) 11 days | <gadget id="calculator">55 / 11</gadget>
<output>5</output>
<gadget id="calculator">55 / 5</gadget>
<output>11</output>
<gadget id="calculator">5 + 11</gadget>
<output>16</output>
<gadget id="calculator">55 / 55</gadget>
<output>1</output>
<gadget id="calculator">5 + 1</gadget>
<output>6</output>
<gadget id="calcu... | A | 5 | A, Band C can do a piece of work in 11 days, 5 days and 55 days respectively, working alone. How soon can the work be done if A is assisted by Band C on alternate days? | {
"A": "5 days",
"B": "8 days",
"C": "9 days",
"D": "10 days",
"E": "11 days"
} | divide(55, divide(add(add(divide(55, 11), divide(55, 5)), add(divide(55, 11), divide(55, 55))), const_2)) | divide(n2,n0)|divide(n2,n1)|divide(n2,n2)|add(#0,#1)|add(#0,#2)|add(#3,#4)|divide(#5,const_2)|divide(n2,#6) | ( a + b ) ' s 1 day ' s work = 1 / 11 + 1 / 5 = 16 / 55 ( a + c ) ' s 1 day ' s work = 1 / 11 + 1 / 55 = 6 / 55 work done in 2 day ' s = 16 / 55 + 6 / 55 = 2 / 5 2 / 5 th work done in 2 days work done = 5 / 2 * 2 = 5 days answer : a | physics |
math_qa__Ux94fqyuEBijyJUr | Two trains 300m and 400m long run at the speed of 36kmph and 18 kmph in opposite directions in parallel tracks. The time which they take to cross each other is?
Choose the correct answer: A) 5.6 sec B) 46.67 sec C) 10.8 sec D) 12.6 sec E) 15 sec | <gadget id="calculator">300 + 400</gadget>
<output>700</output>
<gadget id="calculator">36 + 18</gadget>
<output>54</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">54 * (5/18)</gadget>
<output>15</output>
<gadget id="calculator">700 / 15</gadget>
<ou... | B | 46.67 | Two trains 300m and 400m long run at the speed of 36kmph and 18 kmph in opposite directions in parallel tracks. The time which they take to cross each other is? | {
"A": "5.6 sec",
"B": "46.67 sec",
"C": "10.8 sec",
"D": "12.6 sec",
"E": "15 sec"
} | divide(add(300, 400), multiply(add(36, 18), const_0_2778)) | add(n0,n1)|add(n2,n3)|multiply(#1,const_0_2778)|divide(#0,#2)| | "relative speed = 36 + 18 = 54 kmph * 5 / 18 = 15 m / s distance covered in crossing each other = 300 + 400 = 700 m required time = 700 * 1 / 15 = 46.67 sec answer is b" | physics |
math_qa__yWDuViRUUcpFzY0v | Find the compound interest on $1200 for 1year at 20% p.a. if CI is component yearly?
Choose one
A) $ 120 B) $ 150 C) $ 240 D) $ 250 E) $ 300 | <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">(6/5) ** 1</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">1_200 * (6/5)</gadget>
<output>1_440</output>
<gadget id="cal... | C | 240 | Find the compound interest on $1200 for 1year at 20% p.a. if CI is component yearly? | {
"A": "$ 120",
"B": "$ 150",
"C": "$ 240",
"D": "$ 250",
"E": "$ 300"
} | subtract(multiply(1200, power(add(const_1, divide(20, const_100)), 1)), 1200) | divide(n2,const_100)|add(#0,const_1)|power(#1,n1)|multiply(n0,#2)|subtract(#3,n0)| | "a = p ( 1 + r / 100 ) ^ t = 1200 ( 1 + 20 / 100 ) ^ 1 = 1200 * 6 / 5 = $ 1440 ci = a - p = 1440 - 1200 = $ 240 answer is c" | gain |
math_qa__szuz4pwOBQGTSJPA | Find the perimeter and area of a square of side 12 cm. Choose the correct choice:
A) 144 B) 121 C) 169 D) 196 E) 100 | <gadget id="calculator">12 ** 2</gadget>
<output>144</output>
<result>A</result> | A | 144 | Find the perimeter and area of a square of side 12 cm. | {
"A": "144",
"B": "121",
"C": "169",
"D": "196",
"E": "100"
} | square_area(12) | square_area(n0)| | "we know that the perimeter of square = 4 ã — side side = 12 cm therefore , perimeter = 4 ã — 12 cm = 48 cm now , area of the square = ( side ã — side ) sq . units = 12 ã — 12 cm â ² = 144 cm â ² answer : a" | geometry |
math_qa__dwnK58Xg0v1jhckM | If the sides of a cube are in the ratio 5:4. What is the ratio of their diagonals?
Select the correct option
A) 4 : 3 B) 5 : 4 C) 4 : 7 D) 3 : 4 E) 4 : 5 | <gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<result>B</result> | B | 1.25 | If the sides of a cube are in the ratio 5:4. What is the ratio of their diagonals? | {
"A": "4 : 3",
"B": "5 : 4",
"C": "4 : 7",
"D": "3 : 4",
"E": "4 : 5"
} | divide(5, 4) | divide(n0,n1)| | "explanation : diagonal of a cube = a √ 3 where a is side a 1 : a 2 = 5 : 4 d 1 : d 2 = 5 : 4 where √ 3 cancelled both side answer : b" | geometry |
math_qa__iKmKwcbyeZMCl6jM | Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes 40 seconds and his sister’s time is currently 9 minutes 17 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister? Select.
A) 3 %
B) 5 %
C) 8 %
D) 10 %
E) 13 % | <gadget id="calculator">10 * 10</gadget>
<output>100</output>
<gadget id="calculator">9 * 60</gadget>
<output>540</output>
<gadget id="calculator">540 + 17</gadget>
<output>557</output>
<gadget id="calculator">10 * 60</gadget>
<output>600</output>
<gadget id="calculator">600 + 40</gadget>
<output>640</output>
<gad... | E | 13 | Bob wants to run a mile in the same time as his sister. If Bob’s time for a mile is currently 10 minutes 40 seconds and his sister’s time is currently 9 minutes 17 seconds, by what percent does Bob need to improve his time in order run a mile in the same time as his sister? | {
"A": "3 %",
"B": "5 %",
"C": "8 %",
"D": "10 %",
"E": "13 %"
} | multiply(multiply(10, 10), subtract(const_1, divide(add(multiply(9, const_60), 17), add(multiply(10, const_60), 40)))) | multiply(n0,n0)|multiply(n2,const_60)|multiply(n0,const_60)|add(n3,#1)|add(n1,#2)|divide(#3,#4)|subtract(const_1,#5)|multiply(#0,#6) | bob ' s time = 640 secs . his sis ' time = 557 secs . percent increase needed = ( 640 - 557 / 640 ) * 100 = 83 / 640 * 100 = 13 % . ans ( e ) . | physics |
math_qa__0jCwS4A5ax2vPzMK | In an electric circuit, two resistors with resistances x and y are connected in parallel. If R is the combined resistance of these two resistors, then the reciprocal of R is equal to the sum of the reciprocals of x and y. What is R if x is 4 Ohms and y is 6 Ohms?
Choose the correct answer:
A) 5 / 12 B) 7 / 12 C) 12 /... | <gadget id="calculator">6 * 4</gadget>
<output>24</output>
<gadget id="calculator">4 + 6</gadget>
<output>10</output>
<gadget id="calculator">24 / 10</gadget>
<output>12/5 = around 2.4</output>
<result>C</result> | C | 2.4 | In an electric circuit, two resistors with resistances x and y are connected in parallel. If R is the combined resistance of these two resistors, then the reciprocal of R is equal to the sum of the reciprocals of x and y. What is R if x is 4 Ohms and y is 6 Ohms? | {
"A": "5 / 12",
"B": "7 / 12",
"C": "12 / 5",
"D": "7 / 5",
"E": "11 / 5"
} | divide(multiply(6, 4), add(4, 6)) | add(n0,n1)|multiply(n0,n1)|divide(#1,#0)| | "1 / r = 1 / x + 1 / y 1 / r = 1 / 4 + 1 / 6 = 5 / 12 r = 12 / 5 the answer is c ." | general |
math_qa__EktlIJsYMzhatXkW | The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam.
Choose the correct choice from the following options:
A) 87 B) 27 C) 25 D) 26 E) 24 | <gadget id="calculator">90 * 5</gadget>
<output>450</output>
<gadget id="calculator">5 * 40</gadget>
<output>200</output>
<gadget id="calculator">450 - 200</gadget>
<output>250</output>
<gadget id="calculator">90 - 80</gadget>
<output>10</output>
<gadget id="calculator">250 / 10</gadget>
<output>25</output>
<resul... | C | 25 | The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining will be 90. Find the number of students who wrote the exam. | {
"A": "87",
"B": "27",
"C": "25",
"D": "26",
"E": "24"
} | divide(subtract(multiply(90, 5), multiply(5, 40)), subtract(90, 80)) | multiply(n1,n3)|multiply(n1,n2)|subtract(n3,n0)|subtract(#0,#1)|divide(#3,#2)| | "let the number of students who wrote the exam be x . total marks of students = 80 x . total marks of ( x - 5 ) students = 90 ( x - 5 ) 80 x - ( 5 * 40 ) = 90 ( x - 5 ) 250 = 10 x = > x = 25 answer : c" | general |
math_qa__9oNXWVvKJ8Sw63TC | When x is multiplied by 3, the result is 16 more than the result of subtracting x from 36. What is the value of x?
Choose the correct choice from the following answers
A) - 4 B) - 2 C) 11 D) 13 E) 22 | <gadget id="calculator">36 + 16</gadget>
<output>52</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">52 / 4</gadget>
<output>13</output>
<result>D</result> | D | 13 | When x is multiplied by 3, the result is 16 more than the result of subtracting x from 36. What is the value of x? | {
"A": "- 4",
"B": "- 2",
"C": "11",
"D": "13",
"E": "22"
} | divide(add(36, 16), add(3, const_1)) | add(n1,n2)|add(const_1,n0)|divide(#0,#1)| | "the equation that can be formed is : 3 x - 16 = 36 - x or , 4 x = 52 or , x = 13 . answer : d" | general |
math_qa__LualzhNJ0wycgcob | A goods train leaves a station at a certain time and at a fixed speed. After 6 hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train. Choose the correct choice from the following ... | <gadget id="calculator">4 * 90</gadget>
<output>360</output>
<gadget id="calculator">6 + 4</gadget>
<output>10</output>
<gadget id="calculator">360 / 10</gadget>
<output>36</output>
<result>A</result> | A | 36 | A goods train leaves a station at a certain time and at a fixed speed. After 6 hours, an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph. This train catches up the goods train in 4 hours. Find the speed of the goods train. | {
"A": "36 kmph",
"B": "40 kmph",
"C": "30 kmph",
"D": "42 kmph",
"E": "none of these"
} | divide(multiply(4, 90), add(6, 4)) | add(n0,n2)|multiply(n1,n2)|divide(#1,#0) | let the speed of the goods train be x kmph . distance covered by goods train in 10 hours = distance covered by express train in 4 hours . ∴ 10 x = 4 × 90 or x = 36 . so , speed of goods train = 36 kmph . answer a | physics |
math_qa__vt1S2xL2QjiHYEtI | If 3 people can do 3 times of a particular work in 3 days, then how many days would it take 4 people to do 4 times of that particular work?
Choose the correct choice from the following choices.
A) 1 B) 2 C) 3 D) 4 E) 7 | <gadget id="calculator">4 / 4</gadget>
<output>1</output>
<gadget id="calculator">3 * 1</gadget>
<output>3</output>
<result>C</result> | C | 3 | If 3 people can do 3 times of a particular work in 3 days, then how many days would it take 4 people to do 4 times of that particular work? | {
"A": "1",
"B": "2",
"C": "3",
"D": "4",
"E": "7"
} | multiply(3, divide(4, 4)) | divide(n3,n3)|multiply(n0,#0)| | "3 people can do the work one time in one day . 1 person can do 1 / 3 of the work in one day . 4 people can do 4 / 3 of the work in one day . 4 people can do 4 times the work in 3 days . the answer is c ." | physics |
math_qa__sqH8KoWlHTNw6MmH | 5!/(5-3)!=? Choose the correct choice from the following answers:
A) 36 B) 46 C) 56 D) 59 E) 60 | <gadget id="calculator">factorial(5)</gadget>
<output>120</output>
<gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">factorial(2)</gadget>
<output>2</output>
<gadget id="calculator">120 / 2</gadget>
<output>60</output>
<result>E</result> | E | 60 | 5!/(5-3)!=? | {
"A": "36",
"B": "46",
"C": "56",
"D": "59",
"E": "60"
} | divide(factorial(5), factorial(subtract(5, 3))) | factorial(n0)|subtract(n0,n2)|factorial(#1)|divide(#0,#2)| | 5 ! / ( 5 - 3 ) ! = 5 ! / 2 ! = 5 * 4 * 3 = 60 . hence , the correct answer is e . | general |
math_qa__1if0rT1ahm5VdK5l | The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 10 percent of the tomatoes, by weight, were ruined and discarded. At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 12 ... | <gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">1 + (3/25)</gadget>
<output>28/25 = around 1.12</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calcul... | C | 0.99 | The manager of a produce market purchased a quantity of tomatoes for $0.80 per pound. Due to improper handling, 10 percent of the tomatoes, by weight, were ruined and discarded. At what price per pound should the manager sell the remaining tomatoes if she wishes to make a profit on the sale of the tomatoes equal to 12 ... | {
"A": "$ 0.94",
"B": "$ 0.96",
"C": "$ 0.99",
"D": "$ 1.00",
"E": "$ 1.20"
} | multiply(add(const_1, divide(12, const_100)), divide(0.8, divide(subtract(const_100, 10), const_100))) | divide(n2,const_100)|subtract(const_100,n1)|add(#0,const_1)|divide(#1,const_100)|divide(n0,#3)|multiply(#2,#4) | assume the manager bought 100 tomatoes . cost price = 80 given : 10 % are damaged - - > available tomatoes to sell = 90 90 * x - 80 = 0.12 * 80 90 x - 80 = 9.6 90 x = 89.6 x = 89.6 / 90 = 0.995 x is slightly under 0.9955 = 0.99 answer : c | gain |
math_qa__zTjy7gA1meSOCKCW | If 5% more is gained by selling an article for Rs. 220 than by selling it for Rs. 160, the cost of the article is? Choose the correct choice from the following:
A) 127
B) 1200
C) 1600
D) 1400
E) 1202 | <gadget id="calculator">220 - 160</gadget>
<output>60</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">60 / (1/20)</gadget>
<output>1_200</output>
<result>B</result> | B | 1,200 | If 5% more is gained by selling an article for Rs. 220 than by selling it for Rs. 160, the cost of the article is? | {
"A": "127",
"B": "1200",
"C": "1600",
"D": "1400",
"E": "1202"
} | divide(subtract(220, 160), divide(5, const_100)) | divide(n0,const_100)|subtract(n1,n2)|divide(#1,#0)| | "let c . p . be rs . x . then , 5 % of x = 220 - 160 = 60 x / 20 = 60 = > x = 1200 answer : b" | gain |
math_qa__t8q0Am2U2geG47KK | Two persons A and B can complete a piece of work in 20 days and 40 days respectively. If they work together, what part of the work will be completed in 5 days? Choose one: A) 1 / 8 B) 1 / 3 C) 3 / 6 D) 3 / 8 E) 5 / 3 | <gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 / 40</gadget>
<output>1/40 = around 0.025</output>
<gadget id="calculator">(1/20) + (1/40)</gadget>
<output>3/40 = around 0.075</output>
<gadget id="calculator">5 * (3/40)</gadget>
<output>3/8 = around 0.375</output... | D | 0.375 | Two persons A and B can complete a piece of work in 20 days and 40 days respectively. If they work together, what part of the work will be completed in 5 days? | {
"A": "1 / 8",
"B": "1 / 3",
"C": "3 / 6",
"D": "3 / 8",
"E": "5 / 3"
} | multiply(5, add(divide(const_1, 20), divide(const_1, 40))) | divide(const_1,n0)|divide(const_1,n1)|add(#0,#1)|multiply(n2,#2)| | "a ' s one day ' s work = 1 / 20 b ' s one day ' s work = 1 / 40 ( a + b ) ' s one day ' s work = 1 / 20 + 1 / 40 = 3 / 40 the part of the work completed in 5 days = 5 ( 3 / 40 ) = 3 / 8 . answer : d" | physics |
math_qa__CTG2VPtW9G7jL3Ua | There are X persons and Y chocolates. If each person is given 1 chocolate then 1 chocolate is left, if each person is given 2 chocolates then 1 person will be left. So how many persons and chocolates are there?? Choose the most appropriate option
A) 32 B) 33 C) 34 D) 45 E) 44 | <gadget id="calculator">12 * 3</gadget>
<output>36</output>
<gadget id="calculator">36 - 2</gadget>
<output>34</output>
<result>C</result> | C | 34 | There are X persons and Y chocolates. If each person is given 1 chocolate then 1 chocolate is left, if each person is given 2 chocolates then 1 person will be left. So how many persons and chocolates are there?? | {
"A": "32",
"B": "33",
"C": "34",
"D": "45",
"E": "44"
} | subtract(multiply(const_12, const_3), 2) | multiply(const_12,const_3)|subtract(#0,n2) | x person , y chocolates 1 st equation = = > ( y - 1 ) / x = 1 2 nd equation = = > y / ( x - 1 ) = 2 solving we get x = 3 , y = 4 answer : c | general |
math_qa__75SJY7la1lE6HtC2 | Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 3 days at a time. If A starts they finish the task in exactly 9 days. If B starts, they take a day more. How long does it take to complete the task if they both work... | <gadget id="calculator">9 - 1</gadget>
<output>8</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">9 + 2</gadget>
<output>11</output>
<gadget id="calculator">1 / 11</gadget>
<output>1/11 = around 0.090909</output>
<gadget id="calculator">(1/8) + (1/11)</gadg... | E | 4.5 | Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 3 days at a time. If A starts they finish the task in exactly 9 days. If B starts, they take a day more. How long does it take to complete the task if they both work... | {
"A": "8",
"B": "6",
"C": "4",
"D": "5",
"E": "9 / 2"
} | inverse(add(inverse(subtract(9, const_1)), inverse(add(9, const_2.0)))) | add(const_2.0,n1)|subtract(n1,const_1)|inverse(#1)|inverse(#0)|add(#2,#3)|inverse(#4)| | "work done by ab in a day = xy respectively . when a starts : no . of days when a works = 6 no . of days when b works = 3 → 6 x + 3 y = 1 when b starts : no . of days when a works = 4 no . of days when a works = 5 → 5 x + 4 y = 1 solving the above two equations for xy x = 1 / 9 y = 1 / 9 → total work done by ab in a da... | physics |
math_qa__ipDbTzDrzza057ZV | A type of extra-large SUV averages 12.2 miles per gallon (mpg) on the highway, but only 7.6 mpg in the city. What is the maximum distance, in miles, that this SUV could be driven on 20 gallons of gasoline? Choose the correct choice from the following options
A) 190 B) 284.6 C) 300 D) 244 E) 312 | <gadget id="calculator">12.2 * 20</gadget>
<output>244</output>
<result>D</result> | D | 244 | A type of extra-large SUV averages 12.2 miles per gallon (mpg) on the highway, but only 7.6 mpg in the city. What is the maximum distance, in miles, that this SUV could be driven on 20 gallons of gasoline? | {
"A": "190",
"B": "284.6",
"C": "300",
"D": "244",
"E": "312"
} | multiply(12.2, 20) | multiply(n0,n2)| | "so 12.2 * 20 = 244 . . imo option d is correct answer . ." | general |
math_qa__yHPXXW6LqOiXStbA | An engineering student has to secure 36% marks to pass. He gets 130 marks and fails by 14 marks. The maximum number of marks obtained by him is? Select.
A) 337 B) 400 C) 298 D) 2798 E) 271 | <gadget id="calculator">130 + 14</gadget>
<output>144</output>
<gadget id="calculator">144 * 100</gadget>
<output>14_400</output>
<gadget id="calculator">14_400 / 36</gadget>
<output>400</output>
<result>B</result> | B | 400 | An engineering student has to secure 36% marks to pass. He gets 130 marks and fails by 14 marks. The maximum number of marks obtained by him is? | {
"A": "337",
"B": "400",
"C": "298",
"D": "2798",
"E": "271"
} | divide(multiply(add(130, 14), const_100), 36) | add(n1,n2)|multiply(#0,const_100)|divide(#1,n0) | 130 14 - - - - - - - 361 - - - - - - 144 100 % - - - - - - ? = > 400 answer : b | gain |
math_qa__oH8WH7EvkzUmHgri | United Telephone charges a base rate of $9.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same? Answers: A) 2 minutes B) 10... | <gadget id="calculator">12 - 9</gadget>
<output>3</output>
<gadget id="calculator">0.25 - 0.2</gadget>
<output>0.05</output>
<gadget id="calculator">3 / 0.05</gadget>
<output>60</output>
<result>E</result> | E | 60 | United Telephone charges a base rate of $9.00 for service, plus an additional charge of $0.25 per minute. Atlantic Call charges a base rate of $12.00 for service, plus an additional charge of $0.20 per minute. For what number of minutes would the bills for each telephone company be the same? | {
"A": "2 minutes",
"B": "10 minutes",
"C": "20 minutes",
"D": "40 minutes",
"E": "60 minutes"
} | divide(subtract(12, 9), subtract(0.25, 0.2)) | subtract(n2,n0)|subtract(n1,n3)|divide(#0,#1) | lets take number of minutesx . given that , 9 + 0.25 x = 12 + 0.2 x - > 0.05 x = 2 - > x = 60 minutes ans e | general |
math_qa__ljQ60aMW7yQNNpEO | A swimmer can swim in still water at 4 km/h. If the speed of the water current is 2 km/h, how many hours will the swimmer take to swim against the current for 7 km? Select.
A) 3.0 B) 3.25 C) 3.5 D) 3.75 E) 4.0 | <gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">7 / 2</gadget>
<output>7/2 = around 3.5</output>
<result>C</result> | C | 3.5 | A swimmer can swim in still water at 4 km/h. If the speed of the water current is 2 km/h, how many hours will the swimmer take to swim against the current for 7 km? | {
"A": "3.0",
"B": "3.25",
"C": "3.5",
"D": "3.75",
"E": "4.0"
} | divide(7, subtract(4, 2)) | subtract(n0,n1)|divide(n2,#0)| | "the swimmer can swim against the current at a speed of 4 - 2 = 2 km / h . the time it will take is 7 / 2 = 3.5 hours . the answer is c ." | physics |
math_qa__5yvhKand0urNqivN | A scale 6 ft. 8 inches long is divided into 2 equal parts. Find the length of each part.
Choose the most appropriate option.
A) 20 inches B) 77 inches C) 66 inches D) 97 inches E) 40 inches | <gadget id="calculator">6 * 12</gadget>
<output>72</output>
<gadget id="calculator">72 + 8</gadget>
<output>80</output>
<gadget id="calculator">80 / 2</gadget>
<output>40</output>
<result>E</result> | E | 40 | A scale 6 ft. 8 inches long is divided into 2 equal parts. Find the length of each part. | {
"A": "20 inches",
"B": "77 inches",
"C": "66 inches",
"D": "97 inches",
"E": "40 inches"
} | divide(add(multiply(6, const_12), 8), 2) | multiply(n0,const_12)|add(n1,#0)|divide(#1,n2) | explanation : total length of scale in inches = ( 6 * 12 ) + 8 = 80 inches length of each of the 2 parts = 80 / 2 = 40 inches answer : e | general |
math_qa__18EWCRTK1QeGDbLt | if 11 oranges bought 10 r and 10 oranges sold 11 r .what is the profit Choose the correct choice from the following options:
A) 11 %
B) 20 %
C) 22 %
D) 21 %
E) 23 % | <gadget id="calculator">11 / 10</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">10 / 11</gadget>
<output>10/11 = around 0.909091</output>
<gadget id="calculator">(11/10) - (10/11)</gadget>
<output>21/110 = around 0.190909</output>
<gadget id="calculator">(21/110) / (10/11)</gadget>
<output>21/10... | D | 21 | if 11 oranges bought 10 r and 10 oranges sold 11 r .what is the profit | {
"A": "11 %",
"B": "20 %",
"C": "22 %",
"D": "21 %",
"E": "23 %"
} | multiply(divide(subtract(divide(11, 10), divide(10, 11)), divide(10, 11)), const_100) | divide(n0,n1)|divide(n1,n0)|subtract(#0,#1)|divide(#2,#1)|multiply(#3,const_100) | suppose he bought 110 apples . cp = rs 100 sp = rs 121 % profit = 100 * ( 121 - 100 ) / 100 = 21 % answer : d | gain |
math_qa__Q2vBrv2frsrrDGLq | The least number which when divided by 4, 6, 7 and 8 leaves a remainder 6, but when divided by 9 leaves no remainder, is Choose the correct option.
A) 340 B) 342 C) 523 D) 363 E) none of these | <gadget id="calculator">lcm(4, 6)</gadget>
<output>12</output>
<gadget id="calculator">lcm(12, 7)</gadget>
<output>84</output>
<gadget id="calculator">lcm(84, 8)</gadget>
<output>168</output>
<gadget id="calculator">168 * 2</gadget>
<output>336</output>
<result>B</result> | B | 342 | The least number which when divided by 4, 6, 7 and 8 leaves a remainder 6, but when divided by 9 leaves no remainder, is | {
"A": "340",
"B": "342",
"C": "523",
"D": "363",
"E": "none of these"
} | multiply(lcm(lcm(lcm(4, 6), 7), 8), const_2) | lcm(n0,n1)|lcm(n2,#0)|lcm(n3,#1)|multiply(#2,const_2)| | "explanation : l . c . m of 4 , 6 , 7 , 8 = 168 therefore required number is of the form 168 k + 6 . least value of k for which ( 168 k + 6 ) is divisible by 9 is k = 2 therefore required number = ( 168 x 2 + 6 ) = 342 . answer : b" | general |
math_qa__XCfbHpa7XTSLxrgc | The tax on a commodity is diminished by 10% and its consumption increases by 10%. Find the effects on revenue ? Answers: A) 1 % decrease B) 2 % increase C) 3 % decrease D) 4 % decrease E) none of these | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">(11/10) * (9/10)</gadget>
<output>99/100 = around 0.99</o... | A | 1 | The tax on a commodity is diminished by 10% and its consumption increases by 10%. Find the effects on revenue ? | {
"A": "1 % decrease",
"B": "2 % increase",
"C": "3 % decrease",
"D": "4 % decrease",
"E": "none of these"
} | subtract(const_100, multiply(multiply(add(const_1, divide(10, const_100)), subtract(const_1, divide(10, const_100))), const_100)) | divide(n1,const_100)|divide(n0,const_100)|add(#0,const_1)|subtract(const_1,#1)|multiply(#2,#3)|multiply(#4,const_100)|subtract(const_100,#5)| | "since tax consumption = revenue . therefore , net % change in revenue = ( x + y + xy / 100 ) % = [ - 10 + 10 + ( - 10 x 10 ) / 100 ] % or - 1 % . therefore , revenue decreased by 1 % . answer : a" | general |
math_qa__mXFW35Avyn9i1J4r | 'a' and 'b' are positive integers such that their LCM is 20 and their HCF is 1. What is the difference between the maximum and minimum possible values of 'a + b'? Choose the correct option:
A) 0
B) 12
C) 13
D) 9
E) 11 | <gadget id="calculator">20 / 4</gadget>
<output>5</output>
<gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">9 - 9</gadget>
<output>0</output>
<result>A</result> | A | 0 | 'a' and 'b' are positive integers such that their LCM is 20 and their HCF is 1. What is the difference between the maximum and minimum possible values of 'a + b'? | {
"A": "0",
"B": "12",
"C": "13",
"D": "9",
"E": "11"
} | subtract(add(divide(20, const_4), const_4), add(divide(20, const_4), const_4)) | divide(n0,const_4)|add(#0,const_4)|subtract(#1,#1) | a = 4 , b = 5 as they have to co - primes ( hcf being 1 and lcm = 20 ) so a + b = 9 is their max and min value hence difference = 0 answer - a | general |
math_qa__75PrhuzwL62BKSyW | If A, B and C together can finish a piece of work in 4 days. A alone in 6 days and B in 18 days, then C alone can do it in?
Select the correct option: A) 1 B) 7 C) 8 D) 9 E) 36 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/4) - (1/6)</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 18</gadget>
<output>1/18 = around 0.055556</output... | E | 36 | If A, B and C together can finish a piece of work in 4 days. A alone in 6 days and B in 18 days, then C alone can do it in? | {
"A": "1",
"B": "7",
"C": "8",
"D": "9",
"E": "36"
} | divide(const_1, subtract(subtract(const_0_25, divide(const_1, 6)), divide(const_1, 18))) | divide(const_1,n1)|divide(const_1,n2)|subtract(const_0_25,#0)|subtract(#2,#1)|divide(const_1,#3)| | "c = 1 / 4 - 1 / 6 – 1 / 18 = 1 / 36 = > 36 days ' answer : e" | physics |
math_qa__8FrBYGd7Yisvt9Hx | wo passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? Choose the correct choice
A) 227... | <gadget id="calculator">21 - 16</gadget>
<output>5</output>
<gadget id="calculator">60 / 5</gadget>
<output>12</output>
<gadget id="calculator">16 + 21</gadget>
<output>37</output>
<gadget id="calculator">12 * 37</gadget>
<output>444</output>
<result>B</result> | B | 444 | wo passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively. When they meet, it is found that one train has traveled 60 km more than the other one. The distance between the two stations is? | {
"A": "227",
"B": "444",
"C": "277",
"D": "298",
"E": "212"
} | multiply(divide(60, subtract(21, 16)), add(16, 21)) | add(n0,n1)|subtract(n1,n0)|divide(n2,#1)|multiply(#0,#2) | 1 h - - - - - 5 ? - - - - - - 60 12 h rs = 16 + 21 = 37 t = 12 d = 37 * 12 = 444 answer : b | physics |
math_qa__RQiS7OrJyZA6erKL | The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.3135.What was his original salary? Choose the correct answer: A) 2277 B) 2999 C) 1000 D) 3000 E) 1971 | <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">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">1 - (1/20)</gadget>
<output>19/20 = around 0.95</output>
<... | D | 3,000 | The salary of a typist was at first raised by 10% and then the same was reduced by 5%. If he presently draws Rs.3135.What was his original salary? | {
"A": "2277",
"B": "2999",
"C": "1000",
"D": "3000",
"E": "1971"
} | divide(3135, multiply(add(const_1, divide(10, const_100)), subtract(const_1, divide(5, const_100)))) | divide(n0,const_100)|divide(n1,const_100)|add(#0,const_1)|subtract(const_1,#1)|multiply(#2,#3)|divide(n2,#4)| | "x * ( 110 / 100 ) * ( 95 / 100 ) = 3135 x * ( 11 / 10 ) * ( 1 / 100 ) = 33 x = 3000 answer : d" | gain |
math_qa__2p4Pv4cTrYNXypa7 | City A and City B are 140 miles apart. Train C departs City A, heading towards City B, at 4:00 and travels at 40 miles per hour. Train D departs City B, heading towards City A, at 4:35 and travels at 20 miles per hour. The trains travel on parallel tracks. At what time do the two trains meet? Choices
A) 5 : 00 B) 5 : 3... | <gadget id="calculator">4 + 2</gadget>
<output>6</output>
<gadget id="calculator">6 / 35</gadget>
<output>6/35 = around 0.171429</output>
<result>D</result> | D | 0.171429 | City A and City B are 140 miles apart. Train C departs City A, heading towards City B, at 4:00 and travels at 40 miles per hour. Train D departs City B, heading towards City A, at 4:35 and travels at 20 miles per hour. The trains travel on parallel tracks. At what time do the two trains meet? | {
"A": "5 : 00",
"B": "5 : 30",
"C": "6 : 00",
"D": "6 : 35",
"E": "7 : 00"
} | divide(add(4, const_2), 35) | add(n4,const_2)|divide(#0,n5)| | "train c has traveled 20 mi in the half hour before train d has started its journey . 140 - 20 = 120 40 + 20 = 60 mph 120 mi / 60 mph = 2 hrs 4 : 35 pm + 2 hrs = 6 : 35 pm answer : d . 6 : 35" | physics |
math_qa__ROw1t0ViVQJxqo6k | If -11a and -8b are negative integers, then (-11a)*(-8b )+ ab is
Select
A) 88 ab B) - 89 ab C) 89 ab D) - 88 a E) - 88 b | <gadget id="calculator">11 * 8</gadget>
<output>88</output>
<gadget id="calculator">88 + 1</gadget>
<output>89</output>
<result>C</result> | C | 89 | If -11a and -8b are negative integers, then (-11a)*(-8b )+ ab is | {
"A": "88 ab",
"B": "- 89 ab",
"C": "89 ab",
"D": "- 88 a",
"E": "- 88 b"
} | add(multiply(11, 8), const_1) | multiply(n0,n1)|add(#0,const_1) | answer : c | general |
math_qa__lyKryiPa6zYP2KHT | What is the difference between the largest number and the least number written with the digits 5, 3, 1, 4?
Choose the correct answer:
A) 6084 B) 3788 C) 4086 D) 2721 E) 1812 | <gadget id="calculator">5 * 100</gadget>
<output>500</output>
<gadget id="calculator">500 * 10</gadget>
<output>5_000</output>
<gadget id="calculator">4 * 100</gadget>
<output>400</output>
<gadget id="calculator">5_000 + 400</gadget>
<output>5_400</output>
<gadget id="calculator">3 * 10</gadget>
<output>30</output>... | C | 4,086 | What is the difference between the largest number and the least number written with the digits 5, 3, 1, 4? | {
"A": "6084",
"B": "3788",
"C": "4086",
"D": "2721",
"E": "1812"
} | subtract(add(add(add(multiply(multiply(5, const_100), const_10), multiply(4, const_100)), multiply(3, const_10)), 1), add(add(add(const_1000, multiply(3, const_100)), multiply(4, const_10)), 5)) | multiply(n0,const_100)|multiply(n3,const_100)|multiply(n1,const_10)|multiply(n1,const_100)|multiply(n3,const_10)|add(#3,const_1000)|multiply(#0,const_10)|add(#6,#1)|add(#5,#4)|add(#7,#2)|add(n0,#8)|add(n2,#9)|subtract(#11,#10) | explanation : 1345 5431 - - - - - - - - - - - - 4086 answer : c | general |
math_qa__MK09e73uUZl6RQpU | If (a – b) is 9 more than (c + d) and (a + b) is 3 less than (c – d), then (a – c) is: Choose the most appropriate option: A) 6 B) 2 C) 3 D) 4 E) 5 | <gadget id="calculator">9 / 3</gadget>
<output>3</output>
<result>C</result> | C | 3 | If (a – b) is 9 more than (c + d) and (a + b) is 3 less than (c – d), then (a – c) is: | {
"A": "6",
"B": "2",
"C": "3",
"D": "4",
"E": "5"
} | divide(9, 3) | divide(n0,n1) | ( a – b ) – ( c + d ) = 9 and ( c – d ) – ( a + b ) = 3 = > ( a – c ) – ( b + d ) = 9 and ( c – a ) – ( b + d ) = 3 = > ( b + d ) = ( a – c ) – 9 and ( b + d ) = ( c – a ) – 3 = > ( a – c ) – 9 = ( c – a ) – 3 = > 2 ( a – c ) = 6 = > ( a – c ) = 3 answer : c | general |
math_qa__UvUnEOzfrqMShXfW | There are 408 boys and 240 girls in a school which are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed. Options
A) 27
B) 32
C) 35
D) 30
E) 45 | <gadget id="calculator">408 + 240</gadget>
<output>648</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">8 * 3</gadget>
<output>24</output>
<gadget id="calculator">648 / 24</gadget>
<output>27</output>
<result>A</res... | A | 27 | There are 408 boys and 240 girls in a school which are to be divided into equal sections of either boys or girls alone. Find the total number of sections thus formed. | {
"A": "27",
"B": "32",
"C": "35",
"D": "30",
"E": "45"
} | divide(add(408, 240), multiply(multiply(multiply(const_2, const_2), const_2), const_3)) | add(n0,n1)|multiply(const_2,const_2)|multiply(#1,const_2)|multiply(#2,const_3)|divide(#0,#3)| | "explanation : hcf ( 408 , 240 ) = 24 the number of boys or girls that can be placed in a section = 24 . thus the total number of sections is given by 408 / 24 + 240 / 24 = 17 + 10 = 27 answer : a" | general |
math_qa__d94pH3QNpHYoXutB | The cost of the paint is rs.20 per kg. if 1kg of paint covers 15 sq.ft, how much will it cost to paint outside of a cube having 5 feet each side Choose the correct choice from the following answers.
A) rs . 200 B) rs . 672 C) rs . 546 D) rs . 876 E) none of these | <gadget id="calculator">6 * (5 ** 2)</gadget>
<output>150</output>
<gadget id="calculator">150 / 15</gadget>
<output>10</output>
<gadget id="calculator">10 * 20</gadget>
<output>200</output>
<result>A</result> | A | 200 | The cost of the paint is rs.20 per kg. if 1kg of paint covers 15 sq.ft, how much will it cost to paint outside of a cube having 5 feet each side | {
"A": "rs . 200",
"B": "rs . 672",
"C": "rs . 546",
"D": "rs . 876",
"E": "none of these"
} | multiply(divide(surface_cube(5), 15), 20) | surface_cube(n3)|divide(#0,n2)|multiply(n0,#1) | explanation : surface area of a cube = 6 x 5 ^ 2 = 150 sq . ft quantity of paint required = ( 150 / 15 ) = 10 kg cost of painting = 20 x 10 = rs . 200 answer : a | geometry |
math_qa__E6aPjxBm93F4qkCA | A student committee on academic integrity has 30 ways to select a president and vice president from a group of candidates. The same person cannot be both president and vice president. How many candidates are there? Options:
A) 7 B) 8 C) 9 D) 6 E) 11 | <gadget id="calculator">4 * 30</gadget>
<output>120</output>
<gadget id="calculator">-1</gadget>
<output>-1</output>
<gadget id="calculator">(-1) ** 2</gadget>
<output>1</output>
<gadget id="calculator">120 + 1</gadget>
<output>121</output>
<gadget id="calculator">121 ** (1/2)</gadget>
<output>11</output>
<gadget ... | D | 6 | A student committee on academic integrity has 30 ways to select a president and vice president from a group of candidates. The same person cannot be both president and vice president. How many candidates are there? | {
"A": "7",
"B": "8",
"C": "9",
"D": "6",
"E": "11"
} | divide(add(const_1, sqrt(add(multiply(const_4, 30), power(negate(const_1), const_2)))), const_2) | multiply(n0,const_4)|negate(const_1)|power(#1,const_2)|add(#0,#2)|sqrt(#3)|add(#4,const_1)|divide(#5,const_2)| | "xc 1 * ( x - 1 ) c 1 = 30 x ^ 2 - x - 30 = 0 ( x - 6 ) ( x + 5 ) = 0 x = 6 , - 5 - 5 ca n ' t possible . d" | other |
math_qa__1On0tApMjGw6pYKr | A bag contains 4 red, 3 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red? Choose the correct option:
A) 1 / 13 B) 2 / 23 C) 1 / 6 D) 4 / 27 E) 3 / 23 | <gadget id="calculator">binomial(4, 2)</gadget>
<output>6</output>
<gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">7 + 2</gadget>
<output>9</output>
<gadget id="calculator">binomial(9, 2)</gadget>
<output>36</output>
<gadget id="calculator">6 / 36</gadget>
<output>1/6 = around 0.16... | C | 0.166667 | A bag contains 4 red, 3 blue and 2 green balls. If 2 ballsare picked at random, what is the probability that both are red? | {
"A": "1 / 13",
"B": "2 / 23",
"C": "1 / 6",
"D": "4 / 27",
"E": "3 / 23"
} | divide(choose(4, 2), choose(add(add(4, 3), 2), 2)) | add(n0,n1)|choose(n0,n3)|add(n2,#0)|choose(#2,n3)|divide(#1,#3)| | "p ( both are red ) , = 4 c 29 c 2 = 4 c 29 c 2 = 6 / 36 = 1 / 6 c" | other |
math_qa__OWvJqaZYfTnodnRB | There is a 30% chance Jen will visit Chile this year, while there is a 50% chance that she will visit Madagascar this year. What is the probability that Jen will visit either Chile or Madagascar this year, but NOT both?
Choose the correct choice:
A) 25.0 %
B) 37.5 %
C) 50.0 %
D) 62.5 %
E) 75 % | <gadget id="calculator">2 * 5</gadget>
<output>10</output>
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<gadget id="calculator">100 - 30</gadget>
<output>70</output>
<gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = ... | C | 50 | There is a 30% chance Jen will visit Chile this year, while there is a 50% chance that she will visit Madagascar this year. What is the probability that Jen will visit either Chile or Madagascar this year, but NOT both? | {
"A": "25.0 %",
"B": "37.5 %",
"C": "50.0 %",
"D": "62.5 %",
"E": "75 %"
} | multiply(add(multiply(divide(subtract(power(multiply(const_2, const_5), const_2), 30), power(multiply(const_2, const_5), const_2)), divide(50, power(multiply(const_2, const_5), const_2))), multiply(divide(30, power(multiply(const_2, const_5), const_2)), divide(50, power(multiply(const_2, const_5), const_2)))), power(mu... | multiply(const_2,const_5)|power(#0,const_2)|divide(n1,#1)|divide(n0,#1)|subtract(#1,n0)|divide(#4,#1)|multiply(#3,#2)|multiply(#5,#2)|add(#7,#6)|multiply(#8,#1) | p ( chile and not madagascar ) = 0.3 * 0.5 = 0.15 p ( madagascar and not chile ) = 0.5 * 0.7 = 0.35 total probability = 0.15 + 0.35 = 0.5 = 50 % the answer is c . | probability |
math_qa__OzOQqxYIeHr5nwZt | How much 45% of 60 is greater than 35% of 40? Choose the correct choice from the following choices: A) 18 B) 13 C) 15 D) 17 E) 71 | <gadget id="calculator">45 * 60</gadget>
<output>2_700</output>
<gadget id="calculator">2_700 / 100</gadget>
<output>27</output>
<gadget id="calculator">35 * 40</gadget>
<output>1_400</output>
<gadget id="calculator">1_400 / 100</gadget>
<output>14</output>
<gadget id="calculator">27 - 14</gadget>
<output>13</outpu... | B | 13 | How much 45% of 60 is greater than 35% of 40? | {
"A": "18",
"B": "13",
"C": "15",
"D": "17",
"E": "71"
} | subtract(divide(multiply(45, 60), const_100), divide(multiply(35, 40), const_100)) | multiply(n0,n1)|multiply(n2,n3)|divide(#0,const_100)|divide(#1,const_100)|subtract(#2,#3)| | "( 45 / 100 ) * 60 – ( 35 / 100 ) * 40 27 - 14 = 13 answer : b" | gain |
math_qa__CvgN2wO6loXJqQw8 | Donovan and Michael are racing around a circular 600-meter track. If Donovan runs each lap in 45 seconds and Michael runs each lap in 40 seconds, how many laps will Michael have to complete in order to pass Donovan, assuming they start at the same time? Select:
A) 8
B) 7
C) 9
D) 6
E) 5 | <gadget id="calculator">600 / 40</gadget>
<output>15</output>
<gadget id="calculator">600 / 45</gadget>
<output>40/3 = around 13.333333</output>
<gadget id="calculator">15 - (40/3)</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">600 / (5/3)</gadget>
<output>360</output>
<gadget id="calculato... | C | 9 | Donovan and Michael are racing around a circular 600-meter track. If Donovan runs each lap in 45 seconds and Michael runs each lap in 40 seconds, how many laps will Michael have to complete in order to pass Donovan, assuming they start at the same time? | {
"A": "8",
"B": "7",
"C": "9",
"D": "6",
"E": "5"
} | divide(divide(600, subtract(divide(600, 40), divide(600, 45))), 40) | divide(n0,n2)|divide(n0,n1)|subtract(#0,#1)|divide(n0,#2)|divide(#3,n2) | one way of approaching this question is by relative speed method 1 . speed / rate of donovan = distance / time = > 600 / 45 = > 40 / 3 2 . speed / rate of michael = distance / time = > 600 / 40 = > 15 relative speed between them = 15 - 40 / 3 = > 5 / 3 ( we subtract the rates if moving in the same direction and add the... | physics |
math_qa__9azOPz7OMT44KZgd | If the function Q is defined by the formula Q = 5w/(4m(z^2)), by what factor will Q be multiplied if w is quadrupled, m is doubled, and z is tripled? Choose the correct choice from the following choices.
A) 1 / 9
B) 2 / 9
C) 4 / 9
D) 3 / 9
E) 2 / 27 | <gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">2 * 9</gadget>
<output>18</output>
<gadget id="calculator">4 / 18</gadget>
<output>2/9 = around 0.222222</output>
<result>B</result> | B | 0.222222 | If the function Q is defined by the formula Q = 5w/(4m(z^2)), by what factor will Q be multiplied if w is quadrupled, m is doubled, and z is tripled? | {
"A": "1 / 9",
"B": "2 / 9",
"C": "4 / 9",
"D": "3 / 9",
"E": "2 / 27"
} | divide(4, multiply(2, power(const_3, 2))) | power(const_3,n2)|multiply(n2,#0)|divide(n1,#1) | we just need to find the factor thats all , w - > quadrupled - > 4 w m - > doubled - > 2 m z - > tripled - > 3 z hence , z ^ 2 = 9 z ^ 2 w is in numerator , and m * z in denominator . hence , additional factor being introduced = 4 / 2 * 9 = 4 / 18 = 2 / 9 = b | general |
math_qa__7ICSDlZvhdmNzgrG | Carol spends 1/4 of her savings on a stereo and 2/3 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television? Pick one:
A) 1 / 4 B) 2 / 7 C) 5 / 12 D) 1 / 2 E) 7 / 12 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<result>A</result> | A | 0.25 | Carol spends 1/4 of her savings on a stereo and 2/3 less than she spent on the stereo for a television. What fraction of her savings did she spend on the stereo and television? | {
"A": "1 / 4",
"B": "2 / 7",
"C": "5 / 12",
"D": "1 / 2",
"E": "7 / 12"
} | divide(1, 4) | divide(n0,n1) | total savings = s amount spent on stereo = ( 1 / 4 ) s amount spent on television = ( 1 - 2 / 3 ) ( 1 / 4 ) s = ( 1 / 3 ) * ( 1 / 4 ) * s = ( 1 / 12 ) s ( stereo + tv ) / total savings = s ( 1 / 4 + 1 / 12 ) / s = 1 / 4 answer : a | general |
math_qa__RTiAaYNR1We1cysm | A grocer has 400 pounds of coffee in stock, 25 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?
Choose the correct choice from the following
A) 28 % B) 30 % C) 32 % D) 34... | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 400</gadget>
<output>100</output>
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">100 * (3/5)</gadget>
<output>60</output>
<gadget id="calculator">100 + 60... | C | 32 | A grocer has 400 pounds of coffee in stock, 25 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated? | {
"A": "28 %",
"B": "30 %",
"C": "32 %",
"D": "34 %",
"E": "40 %"
} | multiply(divide(add(multiply(divide(25, const_100), 400), multiply(100, divide(60, const_100))), add(400, 100)), const_100) | add(n0,n2)|divide(n1,const_100)|divide(n3,const_100)|multiply(n0,#1)|multiply(n2,#2)|add(#3,#4)|divide(#5,#0)|multiply(#6,const_100) | 1 . 25 % of 400 = 100 pounds of decaffeinated coffee 2 . 60 % of 100 = 60 pounds of decaffeinated coffee 3 . wt have 160 pounds of decaffeinated out of 500 pounds , that means 160 / 500 * 100 % = 32 % . the correct answer is c . | gain |
math_qa__TaPs0vXyPP7wSi90 | Calculate how much time could be saved if the train would run at its usual speed, given that it ran at 6/8 of its own speed and got to its destination in 11 hours? Pick one:
A) 2.5 hrs
B) 2.9 hrs
C) 4.5 hrs
D) 3.5 hrs
E) 1.5 hrs | <gadget id="calculator">11 * 60</gadget>
<output>660</output>
<gadget id="calculator">6 / 8</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">11 * (3/4)</gadget>
<output>33/4 = around 8.25</output>
<gadget id="calculator">(33/4) * 60</gadget>
<output>495</output>
<gadget id="calculator">660 - 495<... | A | 2.5 | Calculate how much time could be saved if the train would run at its usual speed, given that it ran at 6/8 of its own speed and got to its destination in 11 hours? | {
"A": "2.5 hrs",
"B": "2.9 hrs",
"C": "4.5 hrs",
"D": "3.5 hrs",
"E": "1.5 hrs"
} | add(divide(reminder(subtract(multiply(11, const_60), multiply(multiply(11, divide(6, 8)), const_60)), const_60), const_100), floor(divide(subtract(multiply(11, const_60), multiply(multiply(11, divide(6, 8)), const_60)), const_60))) | divide(n0,n1)|multiply(n2,const_60)|multiply(n2,#0)|multiply(#2,const_60)|subtract(#1,#3)|divide(#4,const_60)|reminder(#4,const_60)|divide(#6,const_100)|floor(#5)|add(#7,#8) | new speed = 6 / 8 of usual speed new time = 6 / 8 of usual time 6 / 8 of usual time = 10 hrs usual time = 10 * 6 / 8 = 7.5 hrs time saved = 10 - 7.5 = 2.5 hrs answer is a | physics |
math_qa__aeyztrvEYHnVzYR1 | The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is
Choose one:
A) 1.2 km B) 1.8 km C) 2.4 km D) 3.6 km E) 1.6 km | <gadget id="calculator">12 / 60</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">15 + 3</gadget>
<output>18</output>
<gadget id="calculator">(1/5) * 18</gadget>
<output>18/5 = around 3.6</output>
<result>D</result> | D | 3.6 | The speed of a boat in still water is 15 km/hr and the rate of current is 3 km/hr. The distance travelled downstream in 12 minutes is | {
"A": "1.2 km",
"B": "1.8 km",
"C": "2.4 km",
"D": "3.6 km",
"E": "1.6 km"
} | multiply(divide(12, const_60), add(15, 3)) | add(n0,n1)|divide(n2,const_60)|multiply(#0,#1)| | "b = 15 km / hr , s = 3 km / hr , downstream b + s = 15 + 3 = 18 km / hr down stream time t = 12 min , we have to change it to hours so t = 12 / 60 = 1 / 5 hrs . distance = speed * time = 18 * 1 / 5 = 3.6 km . answer : d" | physics |
math_qa__58g0jmKN6bvBKN4U | A sum of Rs. 395 was divided among A, B, and C in such a way that B gets 25% more than A and 20% more than C. What is the share of A?
Choose the correct choice from the following answers: A) rs . 195 B) rs . 180 C) rs . 98 D) rs . 120 E) rs . 130 | <gadget id="calculator">100 - 25</gadget>
<output>75</output>
<gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(3/4) + (4/5)</... | D | 120 | A sum of Rs. 395 was divided among A, B, and C in such a way that B gets 25% more than A and 20% more than C. What is the share of A? | {
"A": "rs . 195",
"B": "rs . 180",
"C": "rs . 98",
"D": "rs . 120",
"E": "rs . 130"
} | multiply(divide(subtract(const_100, 25), const_100), divide(395, add(add(divide(subtract(const_100, 25), const_100), divide(subtract(const_100, 20), const_100)), const_1))) | subtract(const_100,n1)|subtract(const_100,n2)|divide(#0,const_100)|divide(#1,const_100)|add(#2,#3)|add(#4,const_1)|divide(n0,#5)|multiply(#2,#6) | let each one ’ s share is a , b and c respectively , then b = 125 a / 100 = 120 c / 100 a = 100 b / 125 = 4 / 5 b , c = 100 b / 120 = 5 / 6 b 4 / 5 b + b + 5 / 6 b = 395 , 79 b / 30 = 395 , b = 395 * 30 / 79 = 150 a = 4 * 150 / 5 = 120 answer : d | general |
math_qa__K9InmpG15JFnD73E | The ratio 5 : 4 expressed as a percent equals Choose the correct choice from the following options
A) 12.5 % B) 40 % C) 80 % D) 125 % E) none | <gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">(5/4) * 100</gadget>
<output>125</output>
<result>D</result> | D | 125 | The ratio 5 : 4 expressed as a percent equals | {
"A": "12.5 %",
"B": "40 %",
"C": "80 %",
"D": "125 %",
"E": "none"
} | multiply(divide(5, 4), const_100) | divide(n0,n1)|multiply(#0,const_100)| | "solution 5 : 4 = 5 / 4 = ( 5 / 4 x 100 ) % . = 125 % . answer d" | general |
math_qa__SdplfcP6FoCVfVJG | The current birth rate per certain number of people is 52, whereas corresponding death rate is 16 per same number of people. If the net growth rate in terms of population increase is 1.2 percent, find number of persons.(initally) Choices: A) 4000 B) 2000 C) 3000 D) 5000 E) 1000 | <gadget id="calculator">52 - 16</gadget>
<output>36</output>
<gadget id="calculator">36 / 1.2</gadget>
<output>30</output>
<gadget id="calculator">100 * 30</gadget>
<output>3_000</output>
<result>C</result> | C | 3,000 | The current birth rate per certain number of people is 52, whereas corresponding death rate is 16 per same number of people. If the net growth rate in terms of population increase is 1.2 percent, find number of persons.(initally) | {
"A": "4000",
"B": "2000",
"C": "3000",
"D": "5000",
"E": "1000"
} | multiply(const_100, divide(subtract(52, 16), 1.2)) | subtract(n0,n1)|divide(#0,n2)|multiply(#1,const_100)| | "sol . net growth on x = ( 52 - 16 ) = 36 . net growth on 100 = ( 36 / x ã — 100 ) % = 1.2 % . then x = 3000 answer : c" | gain |
math_qa__ACpvBV4sCA5ratuE | The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 6 ? Choose the correct choice from the following
A) 96 B) 106 C) 158 D) 116 E) 122 | <gadget id="calculator">20 + 1</gadget>
<output>21</output>
<gadget id="calculator">6 + 32</gadget>
<output>38</output>
<gadget id="calculator">21 * 38</gadget>
<output>798</output>
<gadget id="calculator">20 * 32</gadget>
<output>640</output>
<gadget id="calculator">798 - 640</gadget>
<output>158</output>
<result... | C | 158 | The average of runs of a cricket player of 20 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 6 ? | {
"A": "96",
"B": "106",
"C": "158",
"D": "116",
"E": "122"
} | subtract(multiply(add(20, const_1), add(6, 32)), multiply(20, 32)) | add(n0,const_1)|add(n1,n2)|multiply(n0,n1)|multiply(#0,#1)|subtract(#3,#2)| | "average = total runs / no . of innings = 32 so , total = average x no . of innings = 32 * 20 = 640 now increase in avg = 4 runs . so , new avg = 32 + 6 = 38 runs total runs = new avg x new no . of innings = 38 * 21 = 798 runs made in the 11 th inning = 798 - 640 = 158 answer : c" | general |
math_qa__YVEEI7aPTzN59Snh | A is half good a work man as B and together they finish a job in 26 days. In how many days working alone B finish the job? Choose the correct choice from the following answers
A) 98 days
B) 21 days
C) 17 days
D) 39 days
E) 19 days | <gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">26 * (3/2)</gadget>
<output>39</output>
<result>D</result> | D | 39 | A is half good a work man as B and together they finish a job in 26 days. In how many days working alone B finish the job? | {
"A": "98 days",
"B": "21 days",
"C": "17 days",
"D": "39 days",
"E": "19 days"
} | multiply(26, divide(const_3, const_2)) | divide(const_3,const_2)|multiply(n0,#0)| | "wc = 1 : 2 2 x + x = 1 / 26 = > x = 1 / 78 2 x = 1 / 78 = > 39 days answer : d" | physics |
math_qa__ZqiWhtKccD0w9Oqv | Jane and Ashley take 20 days and 10 days respectively to complete a project when they work on it alone. They thought if they worked on the project together, they would take fewer days to complete it. During the period that they were working together, Jane took an eight day leave from work. This led to Jane's working fo... | <gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">4 * (1/20)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">4 + 4</gadget>
<output>8</output>
<gadget id="calculator">1 /... | A | 12 | Jane and Ashley take 20 days and 10 days respectively to complete a project when they work on it alone. They thought if they worked on the project together, they would take fewer days to complete it. During the period that they were working together, Jane took an eight day leave from work. This led to Jane's working fo... | {
"A": "12 days",
"B": "15 days",
"C": "16 days",
"D": "18 days",
"E": "20 days"
} | add(add(divide(subtract(subtract(const_1, multiply(const_4, divide(const_1, 20))), multiply(add(const_4, const_4), divide(const_1, 10))), add(divide(const_1, 20), divide(const_1, 10))), add(const_4, const_4)), const_4) | add(const_4,const_4)|divide(const_1,n0)|divide(const_1,n1)|add(#1,#2)|multiply(#1,const_4)|multiply(#0,#2)|subtract(const_1,#4)|subtract(#6,#5)|divide(#7,#3)|add(#0,#8)|add(#9,const_4)| | "let us assume that the work is laying 40 bricks . jane = 2 bricks per day ashley = 4 brick per day together = 6 bricks per day let ' s say first 8 days ashley works alone , no of bricks = 32 last 4 days jane works alone , no . of bricks = 8 remaining bricks = 40 - 40 = 0 so together , they would take 0 / 6 = 0 total n... | physics |
math_qa__vrdW8LH3gLpGkuuS | If John runs in the speed of 9 km/hr from his house, in what time will he reach the park which is 300 m long from his house? Select the correct option
A) 2 B) 4 C) 5 D) 3 E) 6 | <gadget id="calculator">9 * 1_000</gadget>
<output>9_000</output>
<gadget id="calculator">300 / 9_000</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">(1/30) * 60</gadget>
<output>2</output>
<result>A</result> | A | 2 | If John runs in the speed of 9 km/hr from his house, in what time will he reach the park which is 300 m long from his house? | {
"A": "2",
"B": "4",
"C": "5",
"D": "3",
"E": "6"
} | multiply(divide(300, multiply(9, const_1000)), const_60) | multiply(n0,const_1000)|divide(n1,#0)|multiply(#1,const_60) | speed = 9 * 5 / 18 = 2.5 m / sec time taken = 300 / 2.5 = 120 sec ie . 2 mins . answer : a | physics |
math_qa__CcpLIlAepk88uFwz | A dishonest person wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing 33 $ per litre so as to make a profit of 40% on cost when he sells the resulting milk and water mixture for 36$. In what ratio should he mix the water and milk? Choose the correct choice
A) 1... | <gadget id="calculator">100 + 40</gadget>
<output>140</output>
<gadget id="calculator">140 / 100</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">36 / (7/5)</gadget>
<output>180/7 = around 25.714286</output>
<gadget id="calculator">33 - (180/7)</gadget>
<output>51/7 = around 7.285714</output>
<gad... | E | 0.283333 | A dishonest person wants to make a profit on the selling of milk. He would like to mix water (costing nothing) with milk costing 33 $ per litre so as to make a profit of 40% on cost when he sells the resulting milk and water mixture for 36$. In what ratio should he mix the water and milk? | {
"A": "1 : 20",
"B": "1 : 10",
"C": "17 : 8",
"D": "17 : 4",
"E": "17 : 60"
} | divide(subtract(33, divide(36, divide(add(const_100, 40), const_100))), divide(36, divide(add(const_100, 40), const_100))) | add(n1,const_100)|divide(#0,const_100)|divide(n2,#1)|subtract(n0,#2)|divide(#3,#2) | first of all , let ' s consider 1 liter of the stuff he is going to sell - - - naive customers think it ' s pure milk , but we know it ' s some milk - water mixture . he is going to sell this liter of milk - water for $ 36 . this $ 36 should be a 40 % increase over cost . here , we need to think about percentage increa... | gain |
math_qa__NarpgJsgB0k3YP4r | If the sides of a triangle are 26 cm, 18 cm and 10 cm, what is its area? Select the correct option
A) 90 B) 110 C) 130 D) 140 E) 150 | <gadget id="calculator">18 * 10</gadget>
<output>180</output>
<gadget id="calculator">180 / 2</gadget>
<output>90</output>
<result>A</result> | A | 90 | If the sides of a triangle are 26 cm, 18 cm and 10 cm, what is its area? | {
"A": "90",
"B": "110",
"C": "130",
"D": "140",
"E": "150"
} | divide(multiply(18, 10), const_2) | multiply(n1,n2)|divide(#0,const_2) | the triangle with sides 26 cm , 18 cm and 10 cm is right angled , where the hypotenuse is 26 cm . area of the triangle = 1 / 2 * 18 * 10 = 90 cm 2 answer : option a | geometry |
math_qa__v564Zb0ozifLUilE | If X is the sum of first 100 positive even integers and Y is the sum of first 100 positive odd integers, what is the value of x-y?
Please try to explain your answers Choose the most appropriate option.
A) 0 B) 25 C) 50 D) 75 E) 100 | <gadget id="calculator">100 * 1</gadget>
<output>100</output>
<result>E</result> | E | 100 | If X is the sum of first 100 positive even integers and Y is the sum of first 100 positive odd integers, what is the value of x-y?
Please try to explain your answers | {
"A": "0",
"B": "25",
"C": "50",
"D": "75",
"E": "100"
} | multiply(100, const_1) | multiply(n0,const_1) | first even minus first odd = 2 - 1 = 1 ; the sum of first 2 even integers minus the sum of first 2 odd integers = ( 2 + 4 ) - ( 1 + 3 ) = 2 ; the sum of first 3 even integers minus the sum of first 3 odd integers = ( 2 + 4 + 6 ) - ( 1 + 3 + 5 ) = 3 ; we can see the patterns here , so the sum of first 100 positive even ... | general |
math_qa__mlfBfEs1ggN79Zx8 | The ratio of the amount of the oil bill for the month of February to the amount of the oil bill for the month of January was 3:2. If the oil bill for February had been $30 more, the corresponding ratio would have been 5:3. How much was the oil bill for January?
Select.
A) $ 120 B) $ 150 C) $ 180 D) $ 210 E) $ 240 | <gadget id="calculator">5 / 3</gadget>
<output>5/3 = around 1.666667</output>
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(5/3) - (3/2)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">30 / (1/6)</gadget>
<output>180</output>
<result>C</res... | C | 180 | The ratio of the amount of the oil bill for the month of February to the amount of the oil bill for the month of January was 3:2. If the oil bill for February had been $30 more, the corresponding ratio would have been 5:3. How much was the oil bill for January? | {
"A": "$ 120",
"B": "$ 150",
"C": "$ 180",
"D": "$ 210",
"E": "$ 240"
} | divide(30, subtract(divide(5, 3), divide(3, 2))) | divide(n3,n4)|divide(n0,n1)|subtract(#0,#1)|divide(n2,#2)| | "3 : 2 = 9 : 6 and 5 : 3 = 10 : 6 . an increase in $ 30 increases the ratio by 1 : 6 . therefore , january ' s bill was 6 ( $ 30 ) = $ 180 . the answer is c ." | general |
math_qa__mSy5IMqxAosH9jli | A call center has two teams. Each member of Team A was able to process 1/5 calls as compared to each member of Team B. If Team A has 5/8 as many number of call center agents as Team B, what fraction of the total calls was processed by Team B?
Options: A) 3 / 2 B) 3 / 4 C) 8 / 9 D) 1 / 2 E) 1 / 5 | <gadget id="calculator">8 * 5</gadget>
<output>40</output>
<gadget id="calculator">5 * 1</gadget>
<output>5</output>
<gadget id="calculator">40 + 5</gadget>
<output>45</output>
<gadget id="calculator">40 / 45</gadget>
<output>8/9 = around 0.888889</output>
<result>C</result> | C | 0.888889 | A call center has two teams. Each member of Team A was able to process 1/5 calls as compared to each member of Team B. If Team A has 5/8 as many number of call center agents as Team B, what fraction of the total calls was processed by Team B? | {
"A": "3 / 2",
"B": "3 / 4",
"C": "8 / 9",
"D": "1 / 2",
"E": "1 / 5"
} | divide(multiply(8, 5), add(multiply(8, 5), multiply(5, 1))) | multiply(n1,n3)|multiply(n0,n1)|add(#0,#1)|divide(#0,#2)| | "let team b has 8 agents , so team a has 5 agents let each agent of team b picked up 5 calls , so total calls by team b = 40 so , each agent in team a picked up 1 calls , so total calls for team a = 5 fraction for team b = 40 / ( 40 + 5 ) = 8 / 9 = answer = c" | general |
math_qa__pIlEE86WkE8CanDY | The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 17 km/hr respectively. They will meet for the first time in?
Choose the correct choice from the following options
A) 50 min B) 40 min C) 35 min D) 37 min E... | <gadget id="calculator">20 + 17</gadget>
<output>37</output>
<result>D</result> | D | 37 | The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 17 km/hr respectively. They will meet for the first time in? | {
"A": "50 min",
"B": "40 min",
"C": "35 min",
"D": "37 min",
"E": "20 min"
} | add(20, 17) | add(n1,n2)| | "clearly , the two will meet when they are 1000 m apart to be 20 + 17 = 37 km apart , they take 1 hour to be 1000 m apart , they take 37 * 1000 / 1000 = 37 min . answer is d" | general |
math_qa__iQYpKe6bPa22kFYI | If the sum of two numbers is 18 and the sum of their squares is 180, then the product of the numbers is Choose the correct option.
A) 72
B) 44
C) 80
D) 88
E) 48 | <gadget id="calculator">18 ** 2</gadget>
<output>324</output>
<gadget id="calculator">324 - 180</gadget>
<output>144</output>
<gadget id="calculator">144 / 2</gadget>
<output>72</output>
<result>A</result> | A | 72 | If the sum of two numbers is 18 and the sum of their squares is 180, then the product of the numbers is | {
"A": "72",
"B": "44",
"C": "80",
"D": "88",
"E": "48"
} | divide(subtract(power(18, const_2), 180), const_2) | power(n0,const_2)|subtract(#0,n1)|divide(#1,const_2)| | "according to the given conditions x + y = 18 and x ^ 2 + y ^ 2 = 180 now ( x + y ) ^ 2 = x ^ 2 + y ^ 2 + 2 xy so 18 ^ 2 = 180 + 2 xy so xy = 144 / 2 = 72 answer : a" | general |
math_qa__Jl6EdlL7IovM59ZI | If the area of a square with sides of length 3 centimeters is equal to the area of a rectangle with a width of 3 centimeters, what is the length of the rectangle, in centimeters?
Answers
A) 3
B) 8
C) 12
D) 16
E) 18 | <gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">9 / 3</gadget>
<output>3</output>
<result>A</result> | A | 3 | If the area of a square with sides of length 3 centimeters is equal to the area of a rectangle with a width of 3 centimeters, what is the length of the rectangle, in centimeters? | {
"A": "3",
"B": "8",
"C": "12",
"D": "16",
"E": "18"
} | divide(power(3, const_2), 3) | power(n0,const_2)|divide(#0,n1)| | "let length of rectangle = l 3 ^ 2 = l * 3 = > l = 9 / 3 = 3 answer a" | geometry |
math_qa__uSHRsgJBzmtBPjBo | There are a total of 100 jars on the shelf. Small jars hold 3 liters and large jars hold 5 liters. The jars can hold a total of 376 liters. How many small jars are on the shelf? Select the correct option.
A) 49 B) 53 C) 56 D) 59 E) 62 | <gadget id="calculator">3 * 100</gadget>
<output>300</output>
<gadget id="calculator">376 - 300</gadget>
<output>76</output>
<gadget id="calculator">76 / 2</gadget>
<output>38</output>
<gadget id="calculator">100 - 38</gadget>
<output>62</output>
<result>E</result> | E | 62 | There are a total of 100 jars on the shelf. Small jars hold 3 liters and large jars hold 5 liters. The jars can hold a total of 376 liters. How many small jars are on the shelf? | {
"A": "49",
"B": "53",
"C": "56",
"D": "59",
"E": "62"
} | subtract(100, divide(subtract(376, multiply(3, 100)), const_2)) | multiply(n0,n1)|subtract(n3,#0)|divide(#1,const_2)|subtract(n0,#2) | let s be the number of small jars and let l be the number of large jars . s + l = 100 . l = 100 - s . 3 s + 5 l = 376 . 3 s + 5 ( 100 - s ) = 376 . - 2 s + 500 = 376 . 2 s = 124 . s = 62 . the answer is e . | general |
math_qa__a25jjBvejeojbeAR | Trapezoid JKLM in the x-y plane has coordinates J = (–2, –5), K = (–2, 1), L = (6, 7), and M = (6, –5). What is its perimeter? Choose the most appropriate option.
A) 34 B) 35 C) 38 D) 40 E) ( f ) 42 | <gadget id="calculator">1 + 5</gadget>
<output>6</output>
<gadget id="calculator">10 + 6</gadget>
<output>16</output>
<gadget id="calculator">2 + 6</gadget>
<output>8</output>
<gadget id="calculator">16 + 8</gadget>
<output>24</output>
<gadget id="calculator">7 + 5</gadget>
<output>12</output>
<gadget id="calculat... | B | 35 | Trapezoid JKLM in the x-y plane has coordinates J = (–2, –5), K = (–2, 1), L = (6, 7), and M = (6, –5). What is its perimeter? | {
"A": "34",
"B": "35",
"C": "38",
"D": "40",
"E": "( f ) 42"
} | add(add(add(const_10, add(1, 5)), add(2, 6)), add(7, 5)) | add(n1,n3)|add(n0,n4)|add(n1,n5)|add(#0,const_10)|add(#3,#1)|add(#4,#2)| | "jk = 6 lm = 11 kl = using distance formula 10 jm = using distance formula 8 sum of all is 35 b" | physics |
math_qa__S1ZbATsRyI1cls6X | Find large no. from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 10 as remainder
Answers
A) 1235 B) 1456 C) 1567 D) 1636 E) 1635 | <gadget id="calculator">1_365 - 10</gadget>
<output>1_355</output>
<gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">1_355 / 5</gadget>
<output>271</output>
<gadget id="calculator">271 * 6</gadget>
<output>1_626</output>
<gadget id="calculator">1_626 + 10</gadget>
<output>1_636</outp... | D | 1,636 | Find large no. from below question The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 10 as remainder | {
"A": "1235",
"B": "1456",
"C": "1567",
"D": "1636",
"E": "1635"
} | add(multiply(divide(subtract(1365, 10), subtract(6, const_1)), 6), 10) | subtract(n0,n2)|subtract(n1,const_1)|divide(#0,#1)|multiply(n1,#2)|add(n2,#3)| | "let the smaller number be x . then larger number = ( x + 1365 ) . x + 1365 = 6 x + 10 5 x = 1355 x = 271 large number = 271 + 1365 = 1636 d" | general |
math_qa__FsW5qOGaF1rfr2lS | A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15? Options:
A) 2 B) 7 C) 6 D) 1 E) 9 | <gadget id="calculator">31 % 15</gadget>
<output>1</output>
<result>D</result> | D | 1 | A certain number when divided by 45 leaves a remainder 31, what is the remainder if the same number be divided by 15? | {
"A": "2",
"B": "7",
"C": "6",
"D": "1",
"E": "9"
} | reminder(31, 15) | reminder(n1,n2)| | "explanation : 45 + 31 = 76 / 15 = 1 ( remainder ) answer : d" | general |
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