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__BUp5Fw03JK0bg4GT | A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 140 kilometers? Choose the most appropriate option:
A) 4.5
B) 5.5
C) 6.5
D) 7.5
E) 3.5 | <gadget id="calculator">140 / 40</gadget>
<output>7/2 = around 3.5</output>
<result>E</result> | E | 3.5 | A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 140 kilometers? | {
"A": "4.5",
"B": "5.5",
"C": "6.5",
"D": "7.5",
"E": "3.5"
} | divide(140, 40) | divide(n1,n0)| | "each 40 kilometers , 1 gallon is needed . we need to know how many 40 kilometers are there in 140 kilometers ? 140 ÷ 40 = 3.5 × 1 gallon = 3.5 gallons correct answer e" | physics |
math_qa__tKKnjfcxgTLhkYhr | In some quantity of ghee, 60% of pure ghee and 40% of is vanaspati. If 10kg of pure ghee is added, then the strength of vanaspati ghee becomes 20%. The original quantity was? Options:
A) 5 kg B) 10 kg C) 15 kg D) 20 kg E) 25 kg | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 10</gadget>
<output>2</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) - (1/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">2 / (1/5)</gadget>
<output>10</output>
<result>B</result> | B | 10 | In some quantity of ghee, 60% of pure ghee and 40% of is vanaspati. If 10kg of pure ghee is added, then the strength of vanaspati ghee becomes 20%. The original quantity was? | {
"A": "5 kg",
"B": "10 kg",
"C": "15 kg",
"D": "20 kg",
"E": "25 kg"
} | divide(multiply(divide(20, const_100), 10), subtract(divide(40, const_100), divide(20, const_100))) | divide(n3,const_100)|divide(n1,const_100)|multiply(n2,#0)|subtract(#1,#0)|divide(#2,#3) | let the original quantity be x kg vanaspati ghee in x kg = 40 / 100 * x = 2 x / 5 kg ( 2 x / 5 ) / ( x + 10 ) = 20 / 100 2 x / ( 5 x + 50 ) = 1 / 5 5 x = 50 x = 10 kg answer is b | gain |
math_qa__hBWOkjr00PXAZHdi | Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 6 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill)
Choose the correct choice from the following options:
A) 7 / 10 B) 15 / 14 C) 4 / 5 D) 5 / 4 E) can not be determined | <gadget id="calculator">42 / 6</gadget>
<output>7</output>
<gadget id="calculator">42 / 4.2</gadget>
<output>10</output>
<gadget id="calculator">7 / 10</gadget>
<output>7/10 = around 0.7</output>
<result>A</result> | A | 0.7 | Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 6 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill) | {
"A": "7 / 10",
"B": "15 / 14",
"C": "4 / 5",
"D": "5 / 4",
"E": "can not be determined"
} | divide(divide(42, 6), divide(42, 4.2)) | divide(n0,n1)|divide(n0,n2)|divide(#0,#1)| | "average speed of jack = distance / time = 42 / 6 = 7 average speed of jill = 42 / ( 4.2 ) = 10 ratio of average speed of jack to jill = 7 / 10 answer a" | physics |
math_qa__Lys0zG0Tgm25tR8T | when a natural number n is successively divided by 12 , 34 the remainders are 56 , 78 . what will be the sum of the remainders if the order of the division is reversed ? Answers.
A) 11
B) 12
C) 10
D) 2
E) 7 | <gadget id="calculator">12 + 34</gadget>
<output>46</output>
<gadget id="calculator">56 - 46</gadget>
<output>10</output>
<result>C</result> | C | 10 | when a natural number n is successively divided by 12 , 34 the remainders are 56 , 78 . what will be the sum of the remainders if the order of the division is reversed ? | {
"A": "11",
"B": "12",
"C": "10",
"D": "2",
"E": "7"
} | subtract(56, add(12, 34)) | add(n0,n1)|subtract(n2,#0) | 1 2 3 4 5 6 7 8 leave the top right - most number 8 start with bottom right - most number 5 8 * 3 + 7 = 31 31 * 2 + 6 = 68 68 * 1 + 5 = 73 this is the number required now , do the successive division in the reverse order the sum of the remainders is 10 hence , the correct option is c | general |
math_qa__EaXFzF3VVYP8wKsY | Speed of a boat in still water is 5 km/hr and speed of the stream is 2 kmph. A man rows to a place at a distance of 252 km and comes back to the starting point the total time taken by him is. Pick one:
A) 160 hr B) 200 hr C) 120 hr D) 140 hr E) 180 hr | <gadget id="calculator">5 + 2</gadget>
<output>7</output>
<gadget id="calculator">252 / 7</gadget>
<output>36</output>
<gadget id="calculator">5 - 2</gadget>
<output>3</output>
<gadget id="calculator">252 / 3</gadget>
<output>84</output>
<gadget id="calculator">36 + 84</gadget>
<output>120</output>
<gadget id="calculator">120 / 60</gadget>
<output>2</output>
<gadget id="calculator">2 * 100</gadget>
<output>200</output>
<result>B</result> | B | 200 | Speed of a boat in still water is 5 km/hr and speed of the stream is 2 kmph. A man rows to a place at a distance of 252 km and comes back to the starting point the total time taken by him is. | {
"A": "160 hr",
"B": "200 hr",
"C": "120 hr",
"D": "140 hr",
"E": "180 hr"
} | multiply(divide(add(divide(252, add(5, 2)), divide(252, subtract(5, 2))), const_60), const_100) | add(n0,n1)|subtract(n0,n1)|divide(n2,#0)|divide(n2,#1)|add(#2,#3)|divide(#4,const_60)|multiply(#5,const_100) | explanation : speed up stream = 5 - 2 = 3 km / hr speed down stream = 5 + 2 = 7 km / hr total time taken = 252 / 3 + 252 / 7 = 84 + 36 = 120 hr answer : option b | physics |
math_qa__3eJuMnqk3ZNppKG9 | Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 42 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ? Choose the most appropriate option:
A) 35 B) 36 C) 37 D) 38 E) 39 | <gadget id="calculator">40 + 2</gadget>
<output>42</output>
<gadget id="calculator">42 - 30</gadget>
<output>12</output>
<gadget id="calculator">12 / 1.5</gadget>
<output>8</output>
<gadget id="calculator">8 + 30</gadget>
<output>38</output>
<result>E</result> | E | 39 | Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 42 hours If Harry and James were paid the same amount last week, how many hours did Harry work last week ? | {
"A": "35",
"B": "36",
"C": "37",
"D": "38",
"E": "39"
} | add(divide(subtract(add(40, 2), 30), 1.5), 30) | add(n2,n3)|subtract(#0,n0)|divide(#1,n1)|add(n0,#2)| | "james worked for 41 hours hence he earned 40 * x + 2 * 2 x = 44 x dollars ; we know that harry also earned the same 44 x dollars , out of which he earned 30 x dollars for thefirst 30 hoursplus 14 x additional dollars . since for each additional hour he gets 1.5 x dollars then he worked for 14 x / 1.5 x = 9 additional hours , so harry worked for total of 30 + 9 = 39 hours . answer : e ." | general |
math_qa__3QoXEfgeKYkS4gQQ | Some of 50%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 35%. What fraction of the original paint was replaced?
Choose the correct choice from the following:
A) 1 / 35
B) 1 / 5
C) 2 / 3
D) 3 / 5
E) 4 / 5 | <gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(7/20) - (1/2)</gadget>
<output>-3/20 = around -0.15</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) - (1/2)</gadget>
<output>-1/4 = around -0.25</output>
<gadget id="calculator">(-3/20) / (-1/4)</gadget>
<output>3/5 = around 0.6</output>
<result>D</result> | D | 0.6 | Some of 50%-intensity red paint is replaced with 25% solution of red paint such that the new paint intensity is 35%. What fraction of the original paint was replaced? | {
"A": "1 / 35",
"B": "1 / 5",
"C": "2 / 3",
"D": "3 / 5",
"E": "4 / 5"
} | divide(subtract(divide(35, const_100), divide(50, const_100)), subtract(divide(25, const_100), divide(50, const_100))) | divide(n2,const_100)|divide(n0,const_100)|divide(n1,const_100)|subtract(#0,#1)|subtract(#2,#1)|divide(#3,#4)| | "35 % is 10 % - points above 25 % and 15 % - points below 50 % . thus the ratio of 25 % - solution to 50 % - solution is 3 : 2 . 3 / 5 of the original paint was replaced . the answer is d ." | gain |
math_qa__05KqivGeYZ0FdJjf | The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 64% of the required amount. What is the net difference in the expenditure on that product? Choose one
A) 12.5 % B) 13 % C) 15 % D) 17 % E) 20 % | <gadget id="calculator">100 * 100</gadget>
<output>10_000</output>
<gadget id="calculator">100 + 25</gadget>
<output>125</output>
<gadget id="calculator">125 * 64</gadget>
<output>8_000</output>
<gadget id="calculator">10_000 - 8_000</gadget>
<output>2_000</output>
<gadget id="calculator">2_000 * 100</gadget>
<output>200_000</output>
<gadget id="calculator">200_000 / 10_000</gadget>
<output>20</output>
<result>E</result> | E | 20 | The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 64% of the required amount. What is the net difference in the expenditure on that product? | {
"A": "12.5 %",
"B": "13 %",
"C": "15 %",
"D": "17 %",
"E": "20 %"
} | divide(multiply(subtract(multiply(const_100, const_100), multiply(add(const_100, 25), 64)), const_100), multiply(const_100, const_100)) | add(n0,const_100)|multiply(const_100,const_100)|multiply(n1,#0)|subtract(#1,#2)|multiply(#3,const_100)|divide(#4,#1)| | "quantity x rate = price 1 x 1 = 1 0.64 x 1.25 = 0.8 decrease in price = ( 0.2 / 1 ) × 100 = 20 % e )" | general |
math_qa__cWuDoZxgUNyOPAHg | An engineer undertakes a project to build a road 10 km long in 30 days and employs 30 men for the purpose. After 10 days, he finds only 2 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time. Choices: A) 30 B) 40 C) 50 D) 60 E) 70 | <gadget id="calculator">10 - 2</gadget>
<output>8</output>
<gadget id="calculator">30 * 8</gadget>
<output>240</output>
<gadget id="calculator">240 * 10</gadget>
<output>2_400</output>
<gadget id="calculator">30 - 10</gadget>
<output>20</output>
<gadget id="calculator">2 * 20</gadget>
<output>40</output>
<gadget id="calculator">2_400 / 40</gadget>
<output>60</output>
<gadget id="calculator">60 - 30</gadget>
<output>30</output>
<result>A</result> | A | 30 | An engineer undertakes a project to build a road 10 km long in 30 days and employs 30 men for the purpose. After 10 days, he finds only 2 km of the road has been completed. Find the (approximate) number of extra men he must employ to finish the work in time. | {
"A": "30",
"B": "40",
"C": "50",
"D": "60",
"E": "70"
} | subtract(divide(multiply(multiply(30, subtract(10, 2)), 10), multiply(2, subtract(30, 10))), 30) | subtract(n0,n4)|subtract(n1,n3)|multiply(n2,#0)|multiply(n4,#1)|multiply(n3,#2)|divide(#4,#3)|subtract(#5,n2)| | "30 workers working already let x be the total men required to finish the task in next 20 days 2 km done hence remaining is 8 km also , work has to be completed in next 20 days ( 30 - 10 = 20 ) we know that , proportion of men to distance is direct proportion and , proportion of men to days is inverse proportion hence , x = ( 30 * 8 * 10 ) / ( 2 * 20 ) thus , x = 60 thus , more men needed to finish the task = 60 - 30 = 30 answer : a" | physics |
math_qa__hiBuR3bTH1yn7KAZ | Two digits in John's age are the same as the digit in the Wilson's age, but in reverse order. In 21 years John will be twice as old as Wilson will be then. what is the difference in their current age ?
Choose the correct choice from the following options
A) 25 B) 43 C) 14 D) 36 E) 12 | <gadget id="calculator">21 + 3</gadget>
<output>24</output>
<gadget id="calculator">24 * 2</gadget>
<output>48</output>
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">48 - 12</gadget>
<output>36</output>
<result>D</result> | D | 36 | Two digits in John's age are the same as the digit in the Wilson's age, but in reverse order. In 21 years John will be twice as old as Wilson will be then. what is the difference in their current age ? | {
"A": "25",
"B": "43",
"C": "14",
"D": "36",
"E": "12"
} | subtract(multiply(add(21, const_3), const_2), multiply(const_3, const_4)) | add(n0,const_3)|multiply(const_3,const_4)|multiply(#0,const_2)|subtract(#2,#1) | john ' s age = 10 x + y so wilson ' s age = 10 y + x . . after 21 years , 10 x + y + 21 = 2 * ( 10 y + x + 21 ) . . . . so 21 + 19 y = 8 x . . . check for odd values of y , y = 1 satisfies the eqn with x = 5 . . . so ages are 51 and 15 and ans as found correctly by u is d . . 36 | general |
math_qa__YdD0vtD4kkCqwug7 | A cab driver 5days income was $45, $50, $60, $65 , $70. Then his average income is? Select
A) $ 58 B) $ 42 C) $ 65 D) $ 48 E) $ 62 | <gadget id="calculator">45 + 50</gadget>
<output>95</output>
<gadget id="calculator">95 + 60</gadget>
<output>155</output>
<gadget id="calculator">155 + 65</gadget>
<output>220</output>
<gadget id="calculator">220 + 70</gadget>
<output>290</output>
<gadget id="calculator">290 / 5</gadget>
<output>58</output>
<result>A</result> | A | 58 | A cab driver 5days income was $45, $50, $60, $65 , $70. Then his average income is? | {
"A": "$ 58",
"B": "$ 42",
"C": "$ 65",
"D": "$ 48",
"E": "$ 62"
} | divide(add(add(add(add(45, 50), 60), 65), 70), 5) | add(n1,n2)|add(n3,#0)|add(n4,#1)|add(n5,#2)|divide(#3,n0) | avg = sum of observations / number of observations avg income = ( 45 + 50 + 60 + 65 + 70 ) / 5 = 58 answer is a | general |
math_qa__ucFhF5C9N9ktWqov | If A:B is 3:4 and B:C is 4:5 then A:C is equal to Choose the correct option:
A) 1 : 3 B) 3 : 5 C) 3 : 4 D) 3 : 7 E) 1 : 5 | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(4/5) * (3/4)</gadget>
<output>3/5 = around 0.6</output>
<result>B</result> | B | 0.6 | If A:B is 3:4 and B:C is 4:5 then A:C is equal to | {
"A": "1 : 3",
"B": "3 : 5",
"C": "3 : 4",
"D": "3 : 7",
"E": "1 : 5"
} | multiply(divide(4, 5), divide(3, 4)) | divide(n1,n3)|divide(n0,n1)|multiply(#0,#1) | the two ratios given are having the same number 4 for b in both the ratios . hence - a : b = 3 : 4 b : c = 4 : 5 = > a : c = 3 : 5 answer b | general |
math_qa__j4zXSmPmgKnb1sJD | In a box of 9 pencils, a total of 2 are defective. If a customer buys 3 pencils selected at random from the box, what is the probability that neither pencils will be defective? Choose the correct choice from the following answers:
A) 5 / 12 B) 1 / 15 C) 2 / 13 D) 2 / 15 E) 1 / 17 | <gadget id="calculator">9 - 2</gadget>
<output>7</output>
<gadget id="calculator">factorial(7)</gadget>
<output>5_040</output>
<gadget id="calculator">7 - 3</gadget>
<output>4</output>
<gadget id="calculator">factorial(4)</gadget>
<output>24</output>
<gadget id="calculator">factorial(3)</gadget>
<output>6</output>
<gadget id="calculator">24 * 6</gadget>
<output>144</output>
<gadget id="calculator">5_040 / 144</gadget>
<output>35</output>
<gadget id="calculator">factorial(9)</gadget>
<output>362_880</output>
<gadget id="calculator">9 - 3</gadget>
<output>6</output>
<gadget id="calculator">factorial(6)</gadget>
<output>720</output>
<gadget id="calculator">720 * 6</gadget>
<output>4_320</output>
<gadget id="calculator">362_880 / 4_320</gadget>
<output>84</output>
<gadget id="calculator">35 / 84</gadget>
<output>5/12 = around 0.416667</output>
<result>A</result> | A | 0.416667 | In a box of 9 pencils, a total of 2 are defective. If a customer buys 3 pencils selected at random from the box, what is the probability that neither pencils will be defective? | {
"A": "5 / 12",
"B": "1 / 15",
"C": "2 / 13",
"D": "2 / 15",
"E": "1 / 17"
} | divide(divide(factorial(subtract(9, 2)), multiply(factorial(subtract(subtract(9, 2), 3)), factorial(3))), divide(factorial(9), multiply(factorial(subtract(9, 3)), factorial(3)))) | factorial(n2)|factorial(n0)|subtract(n0,n1)|subtract(n0,n2)|factorial(#2)|factorial(#3)|subtract(#2,n2)|factorial(#6)|multiply(#5,#0)|divide(#1,#8)|multiply(#7,#0)|divide(#4,#10)|divide(#11,#9) | first , there are 7 c 3 ways you can select 3 good pencils from 4 good ones . second , there are 9 c 3 ways you select 3 pencils from 6 ones in the box . then , the probability that neither pen will be defective is : 7 c 3 / 9 c 3 = 35 / 84 = 5 / 12 answer is a | general |
math_qa__LqLLRvbVCks7ZVlx | What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 18%?
Choose the correct choice from the following
A) 20 % B) 26 % C) 42 % D) 27 % E) 23 % | <gadget id="calculator">100 - 18</gadget>
<output>82</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">82 / (2/3)</gadget>
<output>123</output>
<gadget id="calculator">123 - 100</gadget>
<output>23</output>
<result>E</result> | E | 23 | What profit percent is made by selling an article at a certain price, if by selling at 2/3rd of that price, there would be a loss of 18%? | {
"A": "20 %",
"B": "26 %",
"C": "42 %",
"D": "27 %",
"E": "23 %"
} | subtract(divide(subtract(const_100, 18), divide(2, 3)), const_100) | divide(n0,n1)|subtract(const_100,n2)|divide(#1,#0)|subtract(#2,const_100) | sp 2 = 2 / 3 sp 1 cp = 100 sp 2 = 82 2 / 3 sp 1 = 82 sp 1 = 123 100 - - - 23 = > 23 % answer : e | gain |
math_qa__9vGhQy39fgHBaRrG | 8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 6 such machines to perform the same job? Choose the correct option: A) 2.25 hours B) 8 hours C) 12 hours D) 14.25 hours E) 16 hours | <gadget id="calculator">6 * 8</gadget>
<output>48</output>
<gadget id="calculator">48 / 6</gadget>
<output>8</output>
<result>B</result> | B | 8 | 8 identical machines, working alone and at their constant rates, take 6 hours to complete a job lot. How long would it take for 6 such machines to perform the same job? | {
"A": "2.25 hours",
"B": "8 hours",
"C": "12 hours",
"D": "14.25 hours",
"E": "16 hours"
} | divide(multiply(6, 8), 6) | multiply(n0,n1)|divide(#0,n2)| | "let each machine do 1 unit of work for 1 hour 8 machines - - > 8 units of work in 1 hour for 6 hours = 8 * 6 = 48 units of total work is done . now this 48 units of total work must be done by 6 machines 6 units of work ( 6 machines ) - - - > 1 hour for 48 units of work 6 * 8 - - - > 1 * 8 hours b 8 hours" | physics |
math_qa__VuID3ksKt7U4a7DK | By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 40%? Choose one
A) s . 429 B) s . 480 C) s . 429 D) s . 128 E) s . 384 | <gadget id="calculator">800 * 100</gadget>
<output>80_000</output>
<gadget id="calculator">25 + 100</gadget>
<output>125</output>
<gadget id="calculator">80_000 / 125</gadget>
<output>640</output>
<gadget id="calculator">640 * 40</gadget>
<output>25_600</output>
<gadget id="calculator">25_600 / 100</gadget>
<output>256</output>
<gadget id="calculator">640 - 256</gadget>
<output>384</output>
<result>E</result> | E | 384 | By selling an article at Rs.800, a shopkeeper makes a profit of 25%. At what price should he sell the article so as to make a loss of 40%? | {
"A": "s . 429",
"B": "s . 480",
"C": "s . 429",
"D": "s . 128",
"E": "s . 384"
} | subtract(divide(multiply(800, const_100), add(25, const_100)), divide(multiply(divide(multiply(800, const_100), add(25, const_100)), 40), const_100)) | add(n1,const_100)|multiply(n0,const_100)|divide(#1,#0)|multiply(n2,#2)|divide(#3,const_100)|subtract(#2,#4)| | "sp = 800 profit = 25 % cp = ( sp ) * [ 100 / ( 100 + p ) ] = 800 * [ 100 / 125 ] = 640 loss = 40 % = 40 % of 640 = rs . 256 sp = cp - loss = 640 - 256 = rs . 384 answer : e" | gain |
math_qa__wFcYM52FeluM7vBE | Milk contains 10% water. What content of pure milk should be added to 20 liters of milk to reduce this to 5%? Choose the correct choice:
A) 20 liters B) 25 liters C) 30 liters D) 15 liters E) 18 liters | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) * 20</gadget>
<output>2</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">2 / (1/20)</gadget>
<output>40</output>
<gadget id="calculator">40 - 20</gadget>
<output>20</output>
<result>A</result> | A | 20 | Milk contains 10% water. What content of pure milk should be added to 20 liters of milk to reduce this to 5%? | {
"A": "20 liters",
"B": "25 liters",
"C": "30 liters",
"D": "15 liters",
"E": "18 liters"
} | subtract(divide(multiply(divide(10, const_100), 20), divide(5, const_100)), 20) | divide(n0,const_100)|divide(n2,const_100)|multiply(n1,#0)|divide(#2,#1)|subtract(#3,n1) | quantity of water in 20 liters = 10 % of 20 liters = 2 liters let x liters of pure milk be added . then , 2 / ( 20 + x ) = 5 / 100 5 x = 100 x = 20 liters answer is a | gain |
math_qa__owVmyewBnW77GqTz | It takes Avery 3 hours to build a brick wall while Tom can do it in 2 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own? Select
A) 20 B) 30 C) 40 D) 50 E) 60 | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/3) + (1/2)</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">1 - (5/6)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) / (1/2)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * 60</gadget>
<output>20</output>
<result>A</result> | A | 20 | It takes Avery 3 hours to build a brick wall while Tom can do it in 2 hours. If the two start working together and after an hour Avery leaves, how much time will it take Tom to complete the wall on his own? | {
"A": "20",
"B": "30",
"C": "40",
"D": "50",
"E": "60"
} | multiply(divide(subtract(const_1, add(divide(const_1, 3), divide(const_1, 2))), divide(const_1, 2)), const_60) | divide(const_1,n0)|divide(const_1,n1)|add(#0,#1)|subtract(const_1,#2)|divide(#3,#1)|multiply(#4,const_60)| | "avery takes 3 hours tom takes 2 hours efficiency of avery is 1 / 3 units / hr efficiency of tom is 1 / 2 units / hr combined efficiency of tom and avery is 1 / 3 + 1 / 2 = 5 / 6 units / hr since they worked for 1 hour they completed 5 / 6 units of work and 1 / 6 units of work is left which is to be completed by tom ( since avery left ) so time taken by tom to complete the remaining work will be 1 / 6 / 1 / 2 hours = > 1 / 3 * 60 = 20 minutes . . . answer will be ( a )" | physics |
math_qa__TTYtpPhNggi9qPXU | A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 200 kilometers? Choose the correct choice from the following answers:
A) 4.5
B) 5
C) 6.5
D) 7.5
E) 8.5 | <gadget id="calculator">200 / 40</gadget>
<output>5</output>
<result>B</result> | B | 5 | A car gets 40 kilometers per gallon of gasoline. How many gallons of gasoline would the car need to travel 200 kilometers? | {
"A": "4.5",
"B": "5",
"C": "6.5",
"D": "7.5",
"E": "8.5"
} | divide(200, 40) | divide(n1,n0)| | "each 40 kilometers , 1 gallon is needed . we need to know how many 40 kilometers are there in 180 kilometers ? 200 ÷ 40 = 5 × 1 gallon = 5 gallons correct answer b" | physics |
math_qa__CQQkNW61JtgCANme | At a monthly meeting, 3/5 of the attendees were males and 7/8 of the male attendees arrived on time. If 9/10 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time? Choose the correct option.
A) 23 / 200 B) 11 / 100 C) 7 / 50 D) 3 / 20 E) 4 / 25 | <gadget id="calculator">9 / 10</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">1 - (9/10)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(1/10) * (2/5)</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">7 / 8</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">1 - (7/8)</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/8) * (3/5)</gadget>
<output>3/40 = around 0.075</output>
<gadget id="calculator">(1/25) + (3/40)</gadget>
<output>23/200 = around 0.115</output>
<result>A</result> | A | 0.115 | At a monthly meeting, 3/5 of the attendees were males and 7/8 of the male attendees arrived on time. If 9/10 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time? | {
"A": "23 / 200",
"B": "11 / 100",
"C": "7 / 50",
"D": "3 / 20",
"E": "4 / 25"
} | add(multiply(subtract(const_1, divide(9, 10)), subtract(const_1, divide(3, 5))), multiply(subtract(const_1, divide(7, 8)), divide(3, 5))) | divide(n4,n5)|divide(n0,n1)|divide(n2,n3)|subtract(const_1,#0)|subtract(const_1,#1)|subtract(const_1,#2)|multiply(#3,#4)|multiply(#1,#5)|add(#6,#7) | males who did not arrive on time are 1 / 8 * 3 / 5 = 3 / 40 of the attendees . females who did not arrive on time are 1 / 10 * 2 / 5 = 2 / 50 of the attendees . the fraction of all attendees who did not arrive on time is 3 / 40 + 2 / 50 = 23 / 200 the answer is a . | general |
math_qa__AWplT6EaFH2ecpxu | There are 15 boys and 10 girls in a class. If three students are selected at random, in how many ways that 1 girl and 2 boys are selected ? Choose the correct option: A) 950 B) 1050 C) 2150 D) 2050 E) 1000 | <gadget id="calculator">binomial(15, 2)</gadget>
<output>105</output>
<gadget id="calculator">binomial(10, 1)</gadget>
<output>10</output>
<gadget id="calculator">105 * 10</gadget>
<output>1_050</output>
<result>B</result> | B | 1,050 | There are 15 boys and 10 girls in a class. If three students are selected at random, in how many ways that 1 girl and 2 boys are selected ? | {
"A": "950",
"B": "1050",
"C": "2150",
"D": "2050",
"E": "1000"
} | multiply(choose(15, 2), choose(10, 1)) | choose(n0,n3)|choose(n1,n2)|multiply(#0,#1)| | "n ( s ) = sample space = 25 c 3 = 2300 e = event that 1 girl and 2 boys are selected n ( e ) = we have to select 2 boys from 15 and 1 girl from 10 = 15 c 2 * 10 c 1 = 1050 ans - b" | probability |
math_qa__RXz7g1JE5MrQu08G | 12 men can complete a piece of work in 25 days. In how many days can 20 men complete that piece of work? Choose the most appropriate option.
A) 55 days B) 77 days C) 20 days D) 88 days E) 15 days | <gadget id="calculator">25 * 12</gadget>
<output>300</output>
<gadget id="calculator">300 / 20</gadget>
<output>15</output>
<result>E</result> | E | 15 | 12 men can complete a piece of work in 25 days. In how many days can 20 men complete that piece of work? | {
"A": "55 days",
"B": "77 days",
"C": "20 days",
"D": "88 days",
"E": "15 days"
} | divide(multiply(25, 12), 20) | multiply(n0,n1)|divide(#0,n2)| | "12 * 25 = 20 * x = > x = 15 days answer : e" | physics |
math_qa__uPGH02ojEF5Qb8dZ | Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 7200 interest only for the period. The principal amount borrowed by her was Select the correct option:
A) rs . 2000
B) rs . 10000
C) rs . 15000
D) rs . 20000
E) none of these | <gadget id="calculator">3 * 12</gadget>
<output>36</output>
<gadget id="calculator">36 / 100</gadget>
<output>9/25 = around 0.36</output>
<gadget id="calculator">7_200 / (9/25)</gadget>
<output>20_000</output>
<result>D</result> | D | 20,000 | Consider a lady took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years she had to pay Rs. 7200 interest only for the period. The principal amount borrowed by her was | {
"A": "rs . 2000",
"B": "rs . 10000",
"C": "rs . 15000",
"D": "rs . 20000",
"E": "none of these"
} | divide(7200, divide(multiply(3, 12), const_100)) | multiply(n0,n1)|divide(#0,const_100)|divide(n2,#1) | explanation : principal = rs . ( 100 × 7200 / 12 × 3 ) = > rs . 20,000 . answer : d | gain |
math_qa__OsJteFlgzJYm6LiY | How many pages do you need if you have to write 150 lines of information into pages that each hold 30 lines? Choose the correct choice from the following answers:
A) 7 B) 5 C) 9 D) 8 E) none of the above | <gadget id="calculator">150 / 30</gadget>
<output>5</output>
<result>B</result> | B | 5 | How many pages do you need if you have to write 150 lines of information into pages that each hold 30 lines? | {
"A": "7",
"B": "5",
"C": "9",
"D": "8",
"E": "none of the above"
} | divide(150, 30) | divide(n0,n1) | sol . 30 lines per page total 150 lines = 150 / 30 = 5 answer : b | general |
math_qa__zQpeKCMNiZ3Km59k | A dog takes 10 leaps for every 2 leaps of a hare. If one leap of the dog is equal to 2 leaps of the hare, the ratio of the speed of the dog to that of the hare is : Choose the correct choice from the following answers: A) 5 : 1 B) 10 : 1 C) 15 : 1 D) 20 : 1 E) 25 : 1 | <gadget id="calculator">10 * 2</gadget>
<output>20</output>
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<result>B</result> | B | 10 | A dog takes 10 leaps for every 2 leaps of a hare. If one leap of the dog is equal to 2 leaps of the hare, the ratio of the speed of the dog to that of the hare is : | {
"A": "5 : 1",
"B": "10 : 1",
"C": "15 : 1",
"D": "20 : 1",
"E": "25 : 1"
} | divide(multiply(10, 2), 2) | multiply(n0,n2)|divide(#0,n1)| | "explanation : dog : hare = ( 10 * 2 ) leaps of hare : 2 leaps of hare = 20 : 2 . answer : b ) 10 : 1" | other |
math_qa__y7exlRQL1rAs3PH0 | A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? Choose one.
A) 100 B) 120 C) 130 D) 150 E) 160 | <gadget id="calculator">60 * 1_000</gadget>
<output>60_000</output>
<gadget id="calculator">60_000 / 3_600</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">(50/3) * 9</gadget>
<output>150</output>
<result>D</result> | D | 150 | A train running at the speed of 60 km/hr crosses a pole in 9 seconds. What is the length of the train? | {
"A": "100",
"B": "120",
"C": "130",
"D": "150",
"E": "160"
} | multiply(divide(multiply(60, const_1000), const_3600), 9) | multiply(n0,const_1000)|divide(#0,const_3600)|multiply(n1,#1)| | "speed = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec length of the train = ( speed x time ) = ( 50 / 3 * 9 ) m = 150 m . answer : option d" | physics |
math_qa__41vZx4jeNIK3TJSg | Triangle XYZ is an isosceles right triangle. If side XY is longer than side YZ, and the area of the triangle is 64, what is the measure of side XY?
Choose the correct answer:
A) 4
B) 16
C) 8
D) 8 √ 2
E) can not be determined from the information provided | <gadget id="calculator">64 ** (1/2)</gadget>
<output>8</output>
<gadget id="calculator">2 ** (1/2)</gadget>
<output>sqrt(2) = around 1.414214</output>
<gadget id="calculator">8 * (sqrt(2))</gadget>
<output>8*sqrt(2) = around 11.313708</output>
<gadget id="calculator">(8*sqrt(2)) ** 2</gadget>
<output>128</output>
<gadget id="calculator">128 + 128</gadget>
<output>256</output>
<gadget id="calculator">256 ** (1/2)</gadget>
<output>16</output>
<result>B</result> | B | 16 | Triangle XYZ is an isosceles right triangle. If side XY is longer than side YZ, and the area of the triangle is 64, what is the measure of side XY? | {
"A": "4",
"B": "16",
"C": "8",
"D": "8 √ 2",
"E": "can not be determined from the information provided"
} | sqrt(add(power(multiply(sqrt(64), sqrt(const_2)), const_2), power(multiply(sqrt(64), sqrt(const_2)), const_2))) | sqrt(n0)|sqrt(const_2)|multiply(#0,#1)|power(#2,const_2)|add(#3,#3)|sqrt(#4)| | "ans b . . 16 . xy being larger means it is the hyp . . area = ( 1 / 2 ) * ( yz ) ^ 2 = 64 or yz = 8 * \ sqrt { 2 } . . therefore hyp = xy = 16" | geometry |
math_qa__J6Ej7XHZSp24XDR3 | A sum of money lent out at S.I. amounts to Rs. 780 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is? Pick:
A) s . 684 B) s . 500 C) s . 540 D) s . 740 E) s . 840 | <gadget id="calculator">1_020 - 780</gadget>
<output>240</output>
<gadget id="calculator">240 / 5</gadget>
<output>48</output>
<gadget id="calculator">48 * 2</gadget>
<output>96</output>
<gadget id="calculator">780 - 96</gadget>
<output>684</output>
<result>A</result> | A | 684 | A sum of money lent out at S.I. amounts to Rs. 780 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is? | {
"A": "s . 684",
"B": "s . 500",
"C": "s . 540",
"D": "s . 740",
"E": "s . 840"
} | subtract(780, multiply(divide(subtract(1020, 780), 5), 2)) | subtract(n2,n0)|divide(#0,n3)|multiply(n1,#1)|subtract(n0,#2)| | "s . i for 5 years = ( 1020 - 780 ) = rs . 240 . s . i . for 2 years = 240 / 5 * 2 = rs . 96 . principal = ( 780 - 96 ) = rs . 684 answer : a" | general |
math_qa__ueKlpYuDt9OZs52b | The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 13%, then the cost price of the article is: Select
A) 545 B) 334 C) 555 D) 664 E) 5598 | <gadget id="calculator">616 * 100</gadget>
<output>61_600</output>
<gadget id="calculator">100 + 10</gadget>
<output>110</output>
<gadget id="calculator">61_600 / 110</gadget>
<output>560</output>
<gadget id="calculator">560 * 110</gadget>
<output>61_600</output>
<gadget id="calculator">100 + 13</gadget>
<output>113</output>
<gadget id="calculator">61_600 / 113</gadget>
<output>61_600/113 = around 545.132743</output>
<result>A</result> | A | 545 | The sale price of an article including the sales tax is Rs. 616. The rate of sales tax is 10%. If the shopkeeper has made a profit of 13%, then the cost price of the article is: | {
"A": "545",
"B": "334",
"C": "555",
"D": "664",
"E": "5598"
} | divide(multiply(divide(multiply(616, const_100), add(const_100, 10)), add(const_100, 10)), add(const_100, 13)) | add(n1,const_100)|add(n2,const_100)|multiply(n0,const_100)|divide(#2,#0)|multiply(#0,#3)|divide(#4,#1)| | "110 % of s . p . = 616 s . p . = ( 616 * 100 ) / 110 = rs . 560 c . p = ( 110 * 560 ) / 113 = rs . 545 answer : option a" | gain |
math_qa__5OspJI9QzmX7MSwU | A shopkeeper sold an article offering a discount of 4% and earned a profit of 20%. What would have been the percentage of profit earned if no discount was offered? Select
A) 25
B) 28
C) 30
D) 32
E) 34 | <gadget id="calculator">100 + 20</gadget>
<output>120</output>
<gadget id="calculator">120 * 100</gadget>
<output>12_000</output>
<gadget id="calculator">100 - 4</gadget>
<output>96</output>
<gadget id="calculator">12_000 / 96</gadget>
<output>125</output>
<gadget id="calculator">125 - 100</gadget>
<output>25</output>
<result>A</result> | A | 25 | A shopkeeper sold an article offering a discount of 4% and earned a profit of 20%. What would have been the percentage of profit earned if no discount was offered? | {
"A": "25",
"B": "28",
"C": "30",
"D": "32",
"E": "34"
} | subtract(divide(multiply(add(const_100, 20), const_100), subtract(const_100, 4)), const_100) | add(n1,const_100)|subtract(const_100,n0)|multiply(#0,const_100)|divide(#2,#1)|subtract(#3,const_100)| | "let c . p . be rs . 100 . then , s . p . = rs . 120 let marked price be rs . x . then , 96 / 100 x = 120 x = 12000 / 96 = rs . 125 now , s . p . = rs . 125 , c . p . = rs . 100 profit % = 25 % . answer : a" | gain |
math_qa__dCxrIgMpzw6RuwWD | The surface area of a cube is 1734 sq. cm. Find its volume Choose the correct choice from the following.
A) 2334 cubic . cm B) 3356 cubic . cm C) 4913 cubic . cm D) 3478 cubic . cm E) none of these | <gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">1_734 / 6</gadget>
<output>289</output>
<gadget id="calculator">289 ** (1/2)</gadget>
<output>17</output>
<gadget id="calculator">17 ** 3</gadget>
<output>4_913</output>
<result>C</result> | C | 4,913 | The surface area of a cube is 1734 sq. cm. Find its volume | {
"A": "2334 cubic . cm",
"B": "3356 cubic . cm",
"C": "4913 cubic . cm",
"D": "3478 cubic . cm",
"E": "none of these"
} | volume_cube(sqrt(divide(1734, multiply(const_2, const_3)))) | multiply(const_2,const_3)|divide(n0,#0)|sqrt(#1)|volume_cube(#2) | explanation : let the edge of the cube bea . then , 6 a 2 = 1734 = > a = 17 cm . volume = a 3 = 173 = 4193 cm 3 answer : c | geometry |
math_qa__PAZuD62VZWp9Dl1m | Apple Street begins at Peach Street and runs directly east for 3.2 kilometers until it ends when it meets Cherry Street. Apple Street is intersected every 200 meters by a perpendicular street, and each of those streets other than Peach Street and Cherry Street is given a number beginning at 1st Street (one block east of Peach Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Cherry Street. What is the highest-numbered street that intersects Apple Street?
Select the correct option:
A) 14 th B) 15 th C) 16 th D) 17 th E) 18 th | <gadget id="calculator">3.2 * 1_000</gadget>
<output>3_200</output>
<gadget id="calculator">3_200 / 200</gadget>
<output>16</output>
<gadget id="calculator">16 - 1</gadget>
<output>15</output>
<result>B</result> | B | 15 | Apple Street begins at Peach Street and runs directly east for 3.2 kilometers until it ends when it meets Cherry Street. Apple Street is intersected every 200 meters by a perpendicular street, and each of those streets other than Peach Street and Cherry Street is given a number beginning at 1st Street (one block east of Peach Street) and continuing consecutively (2nd Street, 3rd Street, etc...) until the highest-numbered street one block west of Cherry Street. What is the highest-numbered street that intersects Apple Street? | {
"A": "14 th",
"B": "15 th",
"C": "16 th",
"D": "17 th",
"E": "18 th"
} | subtract(divide(multiply(3.2, const_1000), 200), const_1) | multiply(n0,const_1000)|divide(#0,n1)|subtract(#1,const_1) | 3.2 km / 200 m = 16 . however , the street at the 3.2 - km mark is not 16 th street ; it is cherry street . therefore , the highest numbered street is 15 th street . the answer is b . | physics |
math_qa__NqNhR5nCjlGSjupT | A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was $1480? Choose one.
A) $ 100 B) $ 150 C) $ 125 D) $ 134 E) $ 243 | <gadget id="calculator">6 * 3</gadget>
<output>18</output>
<gadget id="calculator">9 * 4</gadget>
<output>36</output>
<gadget id="calculator">18 + 36</gadget>
<output>54</output>
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">54 + 20</gadget>
<output>74</output>
<gadget id="calculator">1_480 / 74</gadget>
<output>20</output>
<gadget id="calculator">5 * 20</gadget>
<output>100</output>
<result>A</result> | A | 100 | A, B and C completed a piece of work, A worked for 6 days, B for 9 days and C for 4 days. Their daily wages were in the ratio of 3:4:5. Find the daily wages of C, if their total earning was $1480? | {
"A": "$ 100",
"B": "$ 150",
"C": "$ 125",
"D": "$ 134",
"E": "$ 243"
} | multiply(5, divide(1480, add(add(multiply(6, 3), multiply(9, 4)), multiply(4, 5)))) | multiply(n0,n3)|multiply(n1,n2)|multiply(n2,n5)|add(#0,#1)|add(#3,#2)|divide(n6,#4)|multiply(n5,#5) | a $ 100 3 x 4 x 5 x 6 9 4 18 x + 36 x + 20 x = 1480 74 x = 1480 = > x = 20 5 x = 100 rs . | physics |
math_qa__uWgVTpkp9zMOO2B5 | The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.440 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office. Options:
A) 400 B) 420 C) 480 D) 450 E) 510 | <gadget id="calculator">15 * 440</gadget>
<output>6_600</output>
<gadget id="calculator">15 * 120</gadget>
<output>1_800</output>
<gadget id="calculator">6_600 - 1_800</gadget>
<output>4_800</output>
<gadget id="calculator">120 - 110</gadget>
<output>10</output>
<gadget id="calculator">4_800 / 10</gadget>
<output>480</output>
<result>C</result> | C | 480 | The average salary of the employees in a office is Rs.120/month.The avg salary of officers is Rs.440 and of non officers is Rs 110. If the no.of officers is 15,then find the No of nonofficers in the office. | {
"A": "400",
"B": "420",
"C": "480",
"D": "450",
"E": "510"
} | divide(subtract(multiply(15, 440), multiply(15, 120)), subtract(120, 110)) | multiply(n1,n3)|multiply(n0,n3)|subtract(n0,n2)|subtract(#0,#1)|divide(#3,#2)| | "let no . of non - officers be x 15 * 440 + x * 110 = ( x + 15 ) 120 x = 480 c" | general |
math_qa__Ip3LCADeJoKyCM8B | A rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered. If the area of the field is 720 sq. feet, how many feet of fencing will be required? Select the correct option.
A) 78
B) 40
C) 68
D) 88
E) none | <gadget id="calculator">720 / 30</gadget>
<output>24</output>
<gadget id="calculator">24 * 2</gadget>
<output>48</output>
<gadget id="calculator">48 + 30</gadget>
<output>78</output>
<result>A</result> | A | 78 | A rectangular field is to be fenced on three sides leaving a side of 30 feet uncovered. If the area of the field is 720 sq. feet, how many feet of fencing will be required? | {
"A": "78",
"B": "40",
"C": "68",
"D": "88",
"E": "none"
} | add(multiply(divide(720, 30), const_2), 30) | divide(n1,n0)|multiply(#0,const_2)|add(n0,#1)| | "explanation we have : l = 30 ft and lb = 720 sq . ft . so , b = 24 ft . length of fencing = ( l + 2 b ) = ( 30 + 48 ) ft = 78 ft . answer a" | geometry |
math_qa__liEIcRoXX0M9RnmX | Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 5 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill)
Choose the correct choice: A) 14 / 15 B) 15 / 14 C) 4 / 5 D) 21 / 25 E) can not be determined | <gadget id="calculator">42 / 5</gadget>
<output>42/5 = around 8.4</output>
<gadget id="calculator">42 / 4.2</gadget>
<output>10</output>
<gadget id="calculator">(42/5) / 10</gadget>
<output>21/25 = around 0.84</output>
<result>D</result> | D | 0.84 | Jack and Jill are marathon runners. Jack can finish a marathon (42 km) in 5 hours and Jill can run a marathon in 4.2 hours.What is the ratio of their average running speed? (Jack: Jill) | {
"A": "14 / 15",
"B": "15 / 14",
"C": "4 / 5",
"D": "21 / 25",
"E": "can not be determined"
} | divide(divide(42, 5), divide(42, 4.2)) | divide(n0,n1)|divide(n0,n2)|divide(#0,#1)| | "average speed of jack = distance / time = 42 / 5 average speed of jill = 42 / ( 4.2 ) = 10 ratio of average speed of jack to jill = ( 42 / 5 ) / 10 = 42 / 50 = 21 / 25 answer d" | physics |
math_qa__aBDr8Ef3zb0S0mDV | At a party, 13 guests brought wine and 14 guests brought beer. If exactly 11 guests brought only one of the two types of drinks, how many guests brought both types of drinks? Choose the correct choice from the following answers:
A) 5 B) 6 C) 7 D) 8 E) 14 | <gadget id="calculator">13 + 14</gadget>
<output>27</output>
<gadget id="calculator">27 - 11</gadget>
<output>16</output>
<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<result>D</result> | D | 8 | At a party, 13 guests brought wine and 14 guests brought beer. If exactly 11 guests brought only one of the two types of drinks, how many guests brought both types of drinks? | {
"A": "5",
"B": "6",
"C": "7",
"D": "8",
"E": "14"
} | divide(subtract(add(13, 14), 11), const_2) | add(n0,n1)|subtract(#0,n2)|divide(#1,const_2) | say x guests brought both drinks . ( 13 - x ) + ( 14 - x ) = 11 - - > x = 8 . answer : d . | other |
math_qa__paDE6LzEy3BLbxao | A sum of money is put out at compound interest for 2 years at 20%. It would earn Rs.482 more if the interest were paid half-yearly. Calculate the sum.
Choices:
A) 2878 B) 279 C) 279 D) 482 E) 661 | <gadget id="calculator">20 + 1</gadget>
<output>21</output>
<gadget id="calculator">21 * 21</gadget>
<output>441</output>
<gadget id="calculator">441 + 21</gadget>
<output>462</output>
<result>D</result> | D | 482 | A sum of money is put out at compound interest for 2 years at 20%. It would earn Rs.482 more if the interest were paid half-yearly. Calculate the sum. | {
"A": "2878",
"B": "279",
"C": "279",
"D": "482",
"E": "661"
} | add(multiply(add(20, const_1), add(20, const_1)), add(20, const_1)) | add(n1,const_1)|multiply(#0,#0)|add(#0,#1) | p ( 11 / 10 ) 4 - p ( 6 / 5 ) 2 = 482 p = 2000 answer : d | general |
math_qa__UDWSkjI24cs8lrtu | A broker invested her own money in the stock market. During the first year, she increased her stock market wealth by 75 percent. In the second year, largely as a result of a slump in the stock market, she suffered a 30 percent decrease in the value of her stock investments. What was the net increase or decrease on her overall stock investment wealth by the end of the second year? Choose the correct choice from the following choices
A) − 5 %
B) 5 %
C) 15 %
D) 20 %
E) 22.5 % | <gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 + (3/4)</gadget>
<output>7/4 = around 1.75</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 - (3/10)</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">(7/4) * (7/10)</gadget>
<output>49/40 = around 1.225</output>
<gadget id="calculator">(49/40) - 1</gadget>
<output>9/40 = around 0.225</output>
<gadget id="calculator">(9/40) * 100</gadget>
<output>45/2 = around 22.5</output>
<result>E</result> | E | 22.5 | A broker invested her own money in the stock market. During the first year, she increased her stock market wealth by 75 percent. In the second year, largely as a result of a slump in the stock market, she suffered a 30 percent decrease in the value of her stock investments. What was the net increase or decrease on her overall stock investment wealth by the end of the second year? | {
"A": "− 5 %",
"B": "5 %",
"C": "15 %",
"D": "20 %",
"E": "22.5 %"
} | multiply(subtract(multiply(add(const_1, divide(75, const_100)), subtract(const_1, divide(30, const_100))), const_1), const_100) | divide(n0,const_100)|divide(n1,const_100)|add(#0,const_1)|subtract(const_1,#1)|multiply(#2,#3)|subtract(#4,const_1)|multiply(#5,const_100)| | "the actual answer is obtained by multiplying 175 % by 70 % and subtracting 100 % from this total . that is : 175 % × 70 % = 122.5 % ; 122.5 % − 100 % = 122.5 % . answer : e" | gain |
math_qa__z47Ptn6l8cplsUUs | Farm Tax is levied on the 50% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is : Choose the correct choice from the following options.
A) 15 %
B) 25 %
C) 0.125 %
D) 0.2083 %
E) none | <gadget id="calculator">480 / 3_840</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/8) * 100</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) * 100</gadget>
<output>1_250</output>
<gadget id="calculator">1_250 / 50</gadget>
<output>25</output>
<result>B</result> | B | 25 | Farm Tax is levied on the 50% of the cultivated Land. The tax department collected total $ 3840 through the farm Tax from the village of Mr. william. Mr. william paid only $ 480 as farm tax. The percentage of total land of Mr. willam over the total taxable land of the village is : | {
"A": "15 %",
"B": "25 %",
"C": "0.125 %",
"D": "0.2083 %",
"E": "none"
} | divide(multiply(multiply(divide(480, 3840), const_100), const_100), 50) | divide(n2,n1)|multiply(#0,const_100)|multiply(#1,const_100)|divide(#2,n0)| | "this will be equal to the percentage of total cultivated land he holds over the total cultivated land in the village . that leads to ( 480 / 3840 ) x 100 = 12.5 % in percentage terms . but the question asks ratio between his total land to total cultivated land . hence the answer is 12.5 % x ( 100 / 50 ) = 25 % the correct answer is ( b ) ." | general |
math_qa__jIGYESkIkk8J24B9 | The total number of digits used in numbering the pages of a book having 266 pages is Choose the correct answer
A) 732 B) 990 C) 109 D) 130 E) 690 | <gadget id="calculator">266 * 3</gadget>
<output>798</output>
<gadget id="calculator">100 - 1</gadget>
<output>99</output>
<gadget id="calculator">798 - 99</gadget>
<output>699</output>
<gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">699 - 9</gadget>
<output>690</output>
<result>E</result> | E | 690 | The total number of digits used in numbering the pages of a book having 266 pages is | {
"A": "732",
"B": "990",
"C": "109",
"D": "130",
"E": "690"
} | subtract(subtract(multiply(266, const_3), subtract(const_100, const_1)), subtract(const_10, const_1)) | multiply(n0,const_3)|subtract(const_100,const_1)|subtract(const_10,const_1)|subtract(#0,#1)|subtract(#3,#2)| | "total number of digits = ( no . of digits in 1 - digit page nos . + no . of digits in 2 - digit page nos . + no . of digits in 3 - digit page nos . ) = ( 1 x 9 + 2 x 90 + 3 x 167 ) = ( 9 + 180 + 501 ) = 690 . answer : e" | general |
math_qa__shL7RS1gmON7uoPm | The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.1400, then what is the income of P1? Choose the correct answer:
A) s . 800
B) s . 2400
C) s . 4000
D) s . 3500
E) s . 4200 | <gadget id="calculator">1_400 / 2</gadget>
<output>700</output>
<gadget id="calculator">700 * 3</gadget>
<output>2_100</output>
<gadget id="calculator">2_100 - 1_400</gadget>
<output>700</output>
<gadget id="calculator">700 * 5</gadget>
<output>3_500</output>
<result>D</result> | D | 3,500 | The ratio of incomes of two person P1 and P2 is 5 : 4 and the ratio of their expenditures is 3 : 2. If at the end of the year, each saves Rs.1400, then what is the income of P1? | {
"A": "s . 800",
"B": "s . 2400",
"C": "s . 4000",
"D": "s . 3500",
"E": "s . 4200"
} | multiply(subtract(multiply(divide(1400, 2), 3), 1400), 5) | divide(n6,n1)|multiply(n4,#0)|subtract(#1,n6)|multiply(n2,#2)| | "let the income of p 1 and p 2 be rs . 5 x and rs . 4 x respectively and let their expenditures be rs . 3 y and 2 y respectively . then , 5 x – 3 y = 1400 … ( i ) and 4 x – 2 y = 1400 … … . . ( ii ) on multiplying ( i ) by 2 , ( ii ) by 3 and subtracting , we get : 2 x = 1400 - > x = 700 p 1 ’ s income = rs 5 * 700 = rs . 3500 answer : d" | other |
math_qa__rpEm5D2vWVAXhGC4 | The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs 8,748, its purchase price was?
Choose the correct choice from the following.
A) rs 16,000 B) rs 18,000 C) rs 12,000 D) rs 14,000 E) none of these | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) * 3</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 - (3/10)</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">8_748 / (7/10)</gadget>
<output>87_480/7 = around 12_497.142857</output>
<result>C</result> | C | 12,000 | The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs 8,748, its purchase price was? | {
"A": "rs 16,000",
"B": "rs 18,000",
"C": "rs 12,000",
"D": "rs 14,000",
"E": "none of these"
} | divide(8,748, subtract(const_1, multiply(divide(10, const_100), 3))) | divide(n0,const_100)|multiply(n1,#0)|subtract(const_1,#1)|divide(n2,#2)| | "we have p = 8748 , r = - 10 and n = 3 therefore , the purchase price of the machine = p / ( 1 + ( r / 100 ) ) n = 8748 / ( 1 - ( 10 / 100 ) ) 3 = 8748 x ( 100 / 90 ) x ( 100 / 90 ) x ( 100 / 90 ) = 12,000 . answer : c" | gain |
math_qa__rLklPk39CTimkAvq | A mixture of 150 liters of wine and water contains 10% water. How much more water should be added so that water becomes 25% of the new mixture? Choose the correct choice from the following answers.
A) 10 B) 30 C) 20 D) 15 E) 16 | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 150</gadget>
<output>75/2 = around 37.5</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) * 150</gadget>
<output>15</output>
<gadget id="calculator">(75/2) - 15</gadget>
<output>45/2 = around 22.5</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(45/2) / (3/4)</gadget>
<output>30</output>
<result>B</result> | B | 30 | A mixture of 150 liters of wine and water contains 10% water. How much more water should be added so that water becomes 25% of the new mixture? | {
"A": "10",
"B": "30",
"C": "20",
"D": "15",
"E": "16"
} | divide(subtract(multiply(divide(25, const_100), 150), multiply(divide(10, const_100), 150)), subtract(const_1, divide(25, const_100))) | divide(n2,const_100)|divide(n1,const_100)|multiply(n0,#0)|multiply(n0,#1)|subtract(const_1,#0)|subtract(#2,#3)|divide(#5,#4)| | "number of liters of water in 150 liters of the mixture = 10 % of 150 = 10 / 100 * 150 = 15 liters . p liters of water added to the mixture to make water 25 % of the new mixture . total amount of water becomes ( 15 + p ) and total volume of mixture is ( 150 + p ) . ( 15 + p ) = 25 / 100 * ( 150 + p ) 60 + 4 p = 150 + p p = 30 liters . answer : b" | general |
math_qa__UwSgh1Jql93LcGxO | What is the difference between the local values of 8 in the number 58408? Select the correct option: A) 2992 B) 7992 C) 2877 D) 2077 E) 6229 | <gadget id="calculator">8 * 1_000</gadget>
<output>8_000</output>
<gadget id="calculator">8_000 - 8</gadget>
<output>7_992</output>
<result>B</result> | B | 7,992 | What is the difference between the local values of 8 in the number 58408? | {
"A": "2992",
"B": "7992",
"C": "2877",
"D": "2077",
"E": "6229"
} | subtract(multiply(8, const_1000), 8) | multiply(n0,const_1000)|subtract(#0,n0) | explanation : 8000 â € “ 8 = 7992 answer : b | general |
math_qa__VAtLtGwuZLYLZV7J | A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 2/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 50 vehicles that are not Speedsters, how many Speedster convertibles are there?
Choose the correct option
A) 30 B) 48 C) 60 D) 80 E) 90 | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 - (2/3)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">50 / (1/3)</gadget>
<output>150</output>
<gadget id="calculator">150 * (2/3)</gadget>
<output>100</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">100 * (4/5)</gadget>
<output>80</output>
<result>D</result> | D | 80 | A certain automobile company’s best-selling model is the Speedster. The Speedster, like all of their other models, comes in coupe and convertible styles. 2/3 of the current inventory is Speedsters, of which 4/5 are convertibles. If there are 50 vehicles that are not Speedsters, how many Speedster convertibles are there? | {
"A": "30",
"B": "48",
"C": "60",
"D": "80",
"E": "90"
} | multiply(multiply(divide(50, subtract(const_1, divide(2, 3))), divide(2, 3)), divide(4, 5)) | divide(n2,n3)|divide(n0,n1)|subtract(const_1,#1)|divide(n4,#2)|multiply(#3,#1)|multiply(#0,#4)| | "total vehicle = 2 / 3 of speedster + 1 / 3 of others . speedster convertibles = 2 / 3 total vehicle * 4 / 5 given : 1 / 3 constitutes 50 vehicles . hence 2 / 3 constitutes 100 speedster convertibls = 100 * 4 / 5 = 80 d" | physics |
math_qa__biGla39KtznyMvai | If there are 4 peanuts in a box and Mary puts 12 more peanuts inside, how many peanuts are in the box? Choose the correct choice from the following options.
A) 8 B) 16 C) 10 D) 11 E) 12 | <gadget id="calculator">4 + 12</gadget>
<output>16</output>
<result>B</result> | B | 16 | If there are 4 peanuts in a box and Mary puts 12 more peanuts inside, how many peanuts are in the box? | {
"A": "8",
"B": "16",
"C": "10",
"D": "11",
"E": "12"
} | add(4, 12) | add(n0,n1)| | "12 + 4 = 16 correct answer is b ) 16" | general |
math_qa__DNeshplo8zpPrVjw | 4 DICE ARE THROWN AND THE SUM OF THE NUMBERS NOTED IS 10. FIND THE PROBABILITY THAT ALL THE NUMBERS LIE BETWEEN 2 AND 5 (both inclusive)?
Choose the correct answer:
A) 11 / 79
B) 10 / 79
C) 12 / 79
D) 13 / 79
E) 14 / 79 | <gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">8 * 10</gadget>
<output>80</output>
<gadget id="calculator">80 - 1</gadget>
<output>79</output>
<gadget id="calculator">10 / 79</gadget>
<output>10/79 = around 0.126582</output>
<result>B</result> | B | 0.126582 | 4 DICE ARE THROWN AND THE SUM OF THE NUMBERS NOTED IS 10. FIND THE PROBABILITY THAT ALL THE NUMBERS LIE BETWEEN 2 AND 5 (both inclusive)? | {
"A": "11 / 79",
"B": "10 / 79",
"C": "12 / 79",
"D": "13 / 79",
"E": "14 / 79"
} | divide(10, subtract(multiply(multiply(2, 4), 10), const_1)) | multiply(n0,n2)|multiply(n1,#0)|subtract(#1,const_1)|divide(n1,#2) | sum of numbers noted on 4 dice ( with six faces ) to be 10 will include combinations : ( 1,1 , 2,6 ) ( 1,1 , 3,5 ) ( 1,1 , 4,4 ) ( 1,1 , 5,3 ) ( 1,1 , 6,2 ) ( 1,2 , 1,6 ) ( 1,2 , 2,5 ) ( 1,2 , 3,4 ) ( 1,2 , 4,3 ) ( 1,2 , 5,2 ) ( 1,2 , 6,1 ) ( 1,3 , 1,5 ) ( 1,3 , 2,4 ) ( 1,3 , 3,3 ) ( 1,3 , 4,2 ) ( 1,3 , 5,1 ) ( 1,4 , 1,4 ) ( 1,4 , 2,3 ) ( 1,4 , 3,2 ) ( 1,4 , 4,1 ) ( 1,5 , 1,3 ) ( 1,5 , 2,2 ) ( 1,5 , 3,1 ) ( 1,6 , 1,2 ) ( 1,6 , 2,1 ) ( 2,1 , 1,6 ) ( 2,1 , 2,5 ) ( 2,1 , 3,4 ) ( 2,1 , 4,3 ) ( 2,1 , 5,2 ) ( 2,1 , 6,1 ) ( 2,2 , 1,5 ) ( 2,2 , 2,4 ) ( 2,2 , 3,3 ) ( 2,2 , 4,2 ) ( 2,2 , 5,1 ) ( 2,3 , 1,4 ) ( 2,3 , 2,3 ) ( 2,3 , 3,2 ) ( 2,3 , 4,1 ) ( 2,4 , 1,3 ) ( 2,4 , 2,2 ) ( 2,4 , 3,1 ) ( 2,5 , 1,2 ) ( 2,5 , 2,1 ) ( 2,6 , 1,1 ) ( 3,1 , 1,5 ) ( 3,1 , 2,4 ) ( 3,1 , 3,3 ) ( 3,1 , 4,2 ) ( 3,1 , 5,1 ) ( 3,2 , 1,4 ) ( 3,2 , 2,3 ) ( 3,2 , 3,2 ) ( 3,2 , 4,1 ) ( 3,3 , 1,3 ) ( 3,3 , 2,2 ) ( 3,3 , 3,1 ) ( 3,4 , 1,2 ) ( 3,4 , 2,1 ) ( 3,5 , 1,1 ) ( 4,1 , 1,4 ) ( 4,1 , 2,3 ) ( 4,1 , 3,2 ) ( 4,1 , 4,1 ) ( 4,2 , 1,3 ) ( 4,2 , 2,2 ) ( 4,2 , 3,1 ) ( 4,3 , 1,2 ) ( 4,3 , 2,1 ) ( 4,4 , 1,1 ) ( 5,1 , 1,3 ) ( 5,1 , 2,2 ) ( 5,1 , 3,1 ) ( 5,2 , 1,2 ) ( 5,2 , 2,1 ) ( 5,3 , 1,1 ) ( 6,1 , 1,2 ) ( 6,1 , 2,1 ) - - - - - - - total 79 combinations with all the numbers lie between 2 and 5 are ( 2,2 , 2,4 ) ( 2,2 , 3,3 ) ( 2,2 , 4,2 ) ( 2,3 , 2,3 ) ( 2,3 , 3,2 ) ( 2,4 , 2,2 ) ( 3,2 , 2,3 ) ( 3,2 , 3,2 ) ( 3,3 , 2,2 ) ( 4,2 , 2,2 ) - - - - - - total 10 so probability = 10 / 79 answer : b | other |
math_qa__4N1kKxAUmW0Y3V03 | A truck covers a distance of 200 metres in 1 minute whereas a bus covers a distance of 100kms in 50minutes. The ratio of their speeds is?
Choose the correct choice from the following answers: A) 2 : 3 B) ratio 1 : 5 C) ratio 1 : 10 D) ratio 9 : 13 E) ratio 7 : 15 | <gadget id="calculator">100 / 50</gadget>
<output>2</output>
<gadget id="calculator">2 * 1_000</gadget>
<output>2_000</output>
<gadget id="calculator">200 / 2_000</gadget>
<output>1/10 = around 0.1</output>
<result>C</result> | C | 0.1 | A truck covers a distance of 200 metres in 1 minute whereas a bus covers a distance of 100kms in 50minutes. The ratio of their speeds is? | {
"A": "2 : 3",
"B": "ratio 1 : 5",
"C": "ratio 1 : 10",
"D": "ratio 9 : 13",
"E": "ratio 7 : 15"
} | divide(200, multiply(divide(100, 50), const_1000)) | divide(n2,n3)|multiply(#0,const_1000)|divide(n0,#1)| | "ratio of speeds = ( 200 / 60 ) 18 / 5 : 60 * 100 / 50 = 12 : 120 = 1 : 10 answer is c" | physics |
math_qa__9VCwLM2jdtwroUqU | A reduction of 30% in the price of oil enables a house wife to obtain 9kgs more for Rs.900, what is the reduced price for kg? Choose the correct choice.
A) 72 B) 27 C) 40 D) 30 E) 20 | <gadget id="calculator">900 * 30</gadget>
<output>27_000</output>
<gadget id="calculator">27_000 / 100</gadget>
<output>270</output>
<gadget id="calculator">270 / 9</gadget>
<output>30</output>
<result>D</result> | D | 30 | A reduction of 30% in the price of oil enables a house wife to obtain 9kgs more for Rs.900, what is the reduced price for kg? | {
"A": "72",
"B": "27",
"C": "40",
"D": "30",
"E": "20"
} | divide(divide(multiply(900, 30), const_100), 9) | multiply(n0,n2)|divide(#0,const_100)|divide(#1,n1)| | "900 * ( 30 / 100 ) = 270 - - - - 9 ? - - - - 1 = > rs . 30 answer : d" | gain |
math_qa__PJBWhmpea1oDO3a2 | In how many ways 6 boys and 4 girls can be seated in a row so that they are alternative? Choose the correct choice:
A) 14420
B) 12620
C) 17280
D) 21200
E) 24560 | <gadget id="calculator">factorial(6)</gadget>
<output>720</output>
<gadget id="calculator">factorial(4)</gadget>
<output>24</output>
<gadget id="calculator">720 * 24</gadget>
<output>17_280</output>
<result>C</result> | C | 17,280 | In how many ways 6 boys and 4 girls can be seated in a row so that they are alternative? | {
"A": "14420",
"B": "12620",
"C": "17280",
"D": "21200",
"E": "24560"
} | multiply(factorial(6), factorial(4)) | factorial(n0)|factorial(n1)|multiply(#0,#1)| | "6 boys can be seated in 6 ! 4 girls can be seated in 4 ! required number = 6 ! 4 ! = 17280 answer is c" | probability |
math_qa__d6ConBE5a1kE7cpB | total dinning bill of 7 people was $139.00 and 10% tip divided the bill evenly ?what is the bill amount each person shared . Choose the correct option: A) 21.84 B) 22.84 C) 23.84 D) 24.84 E) 25.84 | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) + 1</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">139 * (11/10)</gadget>
<output>1_529/10 = around 152.9</output>
<gadget id="calculator">(1_529/10) / 7</gadget>
<output>1_529/70 = around 21.842857</output>
<result>A</result> | A | 21.84 | total dinning bill of 7 people was $139.00 and 10% tip divided the bill evenly ?what is the bill amount each person shared . | {
"A": "21.84",
"B": "22.84",
"C": "23.84",
"D": "24.84",
"E": "25.84"
} | divide(multiply(139.00, add(divide(const_1, 10), const_1)), 7) | divide(const_1,n2)|add(#0,const_1)|multiply(n1,#1)|divide(#2,n0)| | "dinner bill of 7 person = 139 + 10 % tip so , 10 % of 139 = ( 139 * 10 ) / 100 = 13.9 so , the actual total amount = 139 + 13.9 = $ 152.9 so per head bill = 152.9 / 7 = $ 21.84 answer : a" | general |
math_qa__6z9HdbRDWkwmZeXu | City X has a population 3 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z? Choose one
A) 1 : 8 B) 1 : 4 C) 2 : 1 D) 6 : 1 E) 8 : 1 | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<result>D</result> | D | 6 | City X has a population 3 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z? | {
"A": "1 : 8",
"B": "1 : 4",
"C": "2 : 1",
"D": "6 : 1",
"E": "8 : 1"
} | multiply(3, const_2) | multiply(n0,const_2)| | "x = 3 y , y = 2 * z x : y , y : z 3 : 1 , 2 : 1 6 : 2 , 2 : 1 so , x : z = 6 : 1 ( d )" | general |
math_qa__NJaDLQFcLIQMU2vP | In how many ways can 22 books on English and 20 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together? Choose the correct choice from the following options:
A) 4586
B) 5896
C) 2415
D) 1771
E) 1881 | <gadget id="calculator">22 - 1</gadget>
<output>21</output>
<gadget id="calculator">binomial(21, 3)</gadget>
<output>1_330</output>
<gadget id="calculator">factorial(21) / factorial(21 - 2)</gadget>
<output>420</output>
<gadget id="calculator">1_330 + 420</gadget>
<output>1_750</output>
<gadget id="calculator">binomial(21, 1)</gadget>
<output>21</output>
<gadget id="calculator">1_750 + 21</gadget>
<output>1_771</output>
<result>D</result> | D | 1,771 | In how many ways can 22 books on English and 20 books on Hindi be placed in a row on a shelf so that two books on Hindi may not be together? | {
"A": "4586",
"B": "5896",
"C": "2415",
"D": "1771",
"E": "1881"
} | add(add(choose(subtract(22, const_1), const_3), permutation(subtract(22, const_1), const_2)), choose(subtract(22, const_1), const_1)) | subtract(n0,const_1)|choose(#0,const_3)|choose(#0,const_1)|permutation(#0,const_2)|add(#1,#3)|add(#4,#2)| | "in order that two books on hindi are never together , we must place all these books as under : h e h e h e h … . . h e h where h denotes the position of hindi book and e that of english book . since there are 22 books on english , the number of places marked e are 23 . now , 20 places out of 23 can be chosen in 23 c 20 = 23 c 3 = 23 * 22 * 21 3 * 2 * 1 = 1771 ways . hence the number of ways = 1771 ways answer : d" | probability |
math_qa__jz1oBvQ6q4bcTL0E | What is the dividend? The divisor is 800, the Quotient is 594, and the Remainder is -968. Choose the correct choice from the following options: A) 6623 B) 43036 C) 51515 D) 474232 E) 2025 | <gadget id="calculator">800 * 594</gadget>
<output>475_200</output>
<gadget id="calculator">475_200 - 968</gadget>
<output>474_232</output>
<result>D</result> | D | 474,232 | What is the dividend? The divisor is 800, the Quotient is 594, and the Remainder is -968. | {
"A": "6623",
"B": "43036",
"C": "51515",
"D": "474232",
"E": "2025"
} | subtract(multiply(800, 594), 968) | multiply(n0,n1)|subtract(#0,n2) | dividend = ? ? = d * q + r ? = 800 * 594 + - 968 ? = 475,200 + - 968 ? = 474,232 | general |
math_qa__0pc5l6KNeYsR9lv9 | Working independently, Tina can do a certain job in 12 hours. Working independently, Ann can do
the same job in 9 hours. If Tina Works independently at the job for 8 hours and then Ann works
independently, how many hours will it take Ann to complete the remainder of the jobs?
Choose one.
A) 2 / 3 B) 3 / 4 C) 1 D) 2 E) 3 | <gadget id="calculator">12 - 8</gadget>
<output>4</output>
<gadget id="calculator">12 / 4</gadget>
<output>3</output>
<gadget id="calculator">9 / 3</gadget>
<output>3</output>
<result>E</result> | E | 3 | Working independently, Tina can do a certain job in 12 hours. Working independently, Ann can do
the same job in 9 hours. If Tina Works independently at the job for 8 hours and then Ann works
independently, how many hours will it take Ann to complete the remainder of the jobs? | {
"A": "2 / 3",
"B": "3 / 4",
"C": "1",
"D": "2",
"E": "3"
} | divide(9, divide(12, subtract(12, 8))) | subtract(n0,n2)|divide(n0,#0)|divide(n1,#1) | work done by tina in 1 hr = 1 / 12 work done by tina in 8 hr = 1 / 12 * 8 which is 2 / 3 now , the remaining work is 1 / 3 which is completed by ann in 1 / 3 * 9 which is 3 hr answer : e | physics |
math_qa__3fsQrTbdxvKmWMKD | Sum of 24 odd numbers is? Options
A) 572
B) 573
C) 574
D) 575
E) 576 | <gadget id="calculator">24 * 2</gadget>
<output>48</output>
<gadget id="calculator">24 / 2</gadget>
<output>12</output>
<gadget id="calculator">48 * 12</gadget>
<output>576</output>
<result>E</result> | E | 576 | Sum of 24 odd numbers is? | {
"A": "572",
"B": "573",
"C": "574",
"D": "575",
"E": "576"
} | multiply(multiply(24, const_2), divide(24, const_2)) | divide(n0,const_2)|multiply(n0,const_2)|multiply(#0,#1)| | "sum of 1 st n odd no . s = 1 + 3 + 5 + 7 + . . . = n ^ 2 so , sum of 1 st 24 odd numbers = 24 ^ 2 = 576 answer : e" | general |
math_qa__BxE3MSLxqxoBApQY | Set X consists of all two-digit primes and set Y consists of all positive odd multiples of 9 less than 100. If the two sets are combined into one, what will be the range of the new set? Select the correct option: A) 84 B) 89 C) 90 D) 92 E) 95 | <gadget id="calculator">100 - 3</gadget>
<output>97</output>
<gadget id="calculator">97 - 9</gadget>
<output>88</output>
<result>C</result> | C | 90 | Set X consists of all two-digit primes and set Y consists of all positive odd multiples of 9 less than 100. If the two sets are combined into one, what will be the range of the new set? | {
"A": "84",
"B": "89",
"C": "90",
"D": "92",
"E": "95"
} | subtract(subtract(100, const_3), 9) | subtract(n1,const_3)|subtract(#0,n0)| | "set x = { 11 , 13 , 17 , . . . . . . . . . . . . . , 83 , 89 , 97 } set y = { 9 , 27 , 45 , . . . . . . . . . . . . . . . , 63 , 81 , 99 } combining two sets , say set z set z = { 9 , 11 , 13 , 17 , 27 , . . . . . . . . . . . . . . . . . . . , 63 , 81 , 83 , 89 , 97,99 } range = max value - min value range ( z ) = 99 - 9 = 90 oa c is the answer ." | general |
math_qa__9opLiH0ZyjtfTyk4 | The duplicate ratio of 6:4 is? Choose the correct choice from the following options.
A) 1 : 2 B) 9 : 4 C) 1 : 8 D) 1 : 18 E) 1 : 13 | <gadget id="calculator">6 ** 2</gadget>
<output>36</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">36 / 16</gadget>
<output>9/4 = around 2.25</output>
<result>B</result> | B | 2.25 | The duplicate ratio of 6:4 is? | {
"A": "1 : 2",
"B": "9 : 4",
"C": "1 : 8",
"D": "1 : 18",
"E": "1 : 13"
} | divide(power(6, const_2), power(4, const_2)) | power(n0,const_2)|power(n1,const_2)|divide(#0,#1)| | "36 ^ 2 : 4 ^ 2 = 36 : 16 = 9 : 4 answer : b" | other |
math_qa__0QOxUliszrakyfpg | Find 4 + 7 + 10 + 13 + 16 + . . . up to 20 terms Choose the correct choice from the following answers:
A) 650 B) 640 C) 630 D) 620 E) 610 | <gadget id="calculator">20 * 16</gadget>
<output>320</output>
<gadget id="calculator">13 * 10</gadget>
<output>130</output>
<gadget id="calculator">320 + 130</gadget>
<output>450</output>
<gadget id="calculator">7 * 4</gadget>
<output>28</output>
<gadget id="calculator">10 - 2</gadget>
<output>8</output>
<gadget id="calculator">28 - 8</gadget>
<output>20</output>
<gadget id="calculator">10 * 20</gadget>
<output>200</output>
<gadget id="calculator">450 + 200</gadget>
<output>650</output>
<result>A</result> | A | 650 | Find 4 + 7 + 10 + 13 + 16 + . . . up to 20 terms | {
"A": "650",
"B": "640",
"C": "630",
"D": "620",
"E": "610"
} | add(add(multiply(20, 16), multiply(13, 10)), multiply(const_10, subtract(multiply(7, 4), subtract(10, const_2)))) | multiply(n4,n5)|multiply(n2,n3)|multiply(n0,n1)|subtract(n2,const_2)|add(#0,#1)|subtract(#2,#3)|multiply(#5,const_10)|add(#4,#6) | a = 4 d = 7 – 4 = 3 sum of first 20 terms , s 20 answer is a | general |
math_qa__MBraeea7rP4DWqSP | There are 10 slate rocks, 11 pumice rocks, and 4 granite rocks randomly distributed in a certain field. If 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks?
Choose one:
A) 3 / 20
B) 5 / 26
C) 7 / 34
D) 9 / 37
E) 11 / 49 | <gadget id="calculator">10 + 11</gadget>
<output>21</output>
<gadget id="calculator">21 + 4</gadget>
<output>25</output>
<gadget id="calculator">10 / 25</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">25 - 1</gadget>
<output>24</output>
<gadget id="calculator">9 / 24</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(2/5) * (3/8)</gadget>
<output>3/20 = around 0.15</output>
<result>A</result> | A | 0.15 | There are 10 slate rocks, 11 pumice rocks, and 4 granite rocks randomly distributed in a certain field. If 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks? | {
"A": "3 / 20",
"B": "5 / 26",
"C": "7 / 34",
"D": "9 / 37",
"E": "11 / 49"
} | multiply(divide(10, add(add(10, 11), 4)), divide(subtract(10, const_1), subtract(add(add(10, 11), 4), const_1))) | add(n0,n1)|subtract(n0,const_1)|add(n2,#0)|divide(n0,#2)|subtract(#2,const_1)|divide(#1,#4)|multiply(#3,#5)| | "10 / 25 * 9 / 24 = 3 / 20 the answer is a ." | other |
math_qa__sGNRRSrhTxOtdOs5 | A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor. Choose the correct choice from the following:
A) 233
B) 877
C) 279
D) 176
E) 291 | <gadget id="calculator">5 * 100</gadget>
<output>500</output>
<gadget id="calculator">500 + 44</gadget>
<output>544</output>
<gadget id="calculator">3 * 100</gadget>
<output>300</output>
<gadget id="calculator">300 + 74</gadget>
<output>374</output>
<gadget id="calculator">544 * 374</gadget>
<output>203_456</output>
<gadget id="calculator">2 ** 4</gadget>
<output>16</output>
<gadget id="calculator">544 / 16</gadget>
<output>34</output>
<gadget id="calculator">34 ** 2</gadget>
<output>1_156</output>
<gadget id="calculator">203_456 / 1_156</gadget>
<output>176</output>
<result>D</result> | D | 176 | A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor. | {
"A": "233",
"B": "877",
"C": "279",
"D": "176",
"E": "291"
} | divide(multiply(add(multiply(5, const_100), 44), add(multiply(3, const_100), 74)), power(divide(add(multiply(5, const_100), 44), power(const_2, const_4)), const_2)) | multiply(n0,const_100)|multiply(n2,const_100)|power(const_2,const_4)|add(n1,#0)|add(n3,#1)|divide(#3,#2)|multiply(#3,#4)|power(#5,const_2)|divide(#6,#7)| | "explanation : area of the room = 544 * 374 sq cm size of largest square tile = h . c . f of 544 cm and 374 cm = 34 cm area of 1 tile = 34 * 34 sq cm no . of tiles required = ( 544 * 374 ) / ( 34 * 34 ) = 176 answer : d ) 176" | physics |
math_qa__l4wUHPLevt9nrMQl | You buy a piece of land with an area of √100, how long is one side of the land plot? Choose the correct choice from the following answers:
A) 28 B) 29 C) 10 D) 31 E) 32 | <gadget id="calculator">100 ** (1/2)</gadget>
<output>10</output>
<result>C</result> | C | 10 | You buy a piece of land with an area of √100, how long is one side of the land plot? | {
"A": "28",
"B": "29",
"C": "10",
"D": "31",
"E": "32"
} | sqrt(100) | sqrt(n0)| | "try filling the numbers into the answer y x y = find the closest to 100 . answer c" | geometry |
math_qa__reK5xBk85PU2BwfS | Find the cost of fencing around a circular field of diameter 14 m at the rate of Rs.2.50 a meter?
Choose one:
A) 288 B) 110 C) 772 D) 592 E) 261 | <gadget id="calculator">14 / 2</gadget>
<output>7</output>
<gadget id="calculator">2 * pi * 7</gadget>
<output>14*pi = around 43.982297</output>
<gadget id="calculator">(14*pi) * 2.5</gadget>
<output>35.0*pi = around 109.955743</output>
<result>B</result> | B | 110 | Find the cost of fencing around a circular field of diameter 14 m at the rate of Rs.2.50 a meter? | {
"A": "288",
"B": "110",
"C": "772",
"D": "592",
"E": "261"
} | multiply(circumface(divide(14, const_2)), 2.50) | divide(n0,const_2)|circumface(#0)|multiply(n1,#1)| | "2 * 22 / 7 * 7 = 44 44 * 2.5 = rs . 110 answer : b" | physics |
math_qa__PZqzSMcdyQxjZckE | A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many Y acres were used for corn?
Choose the correct choice from the following choices.
A) 188
B) 258
C) 376
D) 470
E) 517 | <gadget id="calculator">1_000 * 1</gadget>
<output>1_000</output>
<gadget id="calculator">10 * 3</gadget>
<output>30</output>
<gadget id="calculator">30 + 4</gadget>
<output>34</output>
<gadget id="calculator">1_000 + 34</gadget>
<output>1_034</output>
<gadget id="calculator">5 + 2</gadget>
<output>7</output>
<gadget id="calculator">7 + 4</gadget>
<output>11</output>
<gadget id="calculator">1_034 / 11</gadget>
<output>94</output>
<gadget id="calculator">94 * 4</gadget>
<output>376</output>
<result>C</result> | C | 376 | A farmer used 1,034 acres of land for beans, wheat, and corn in the ratio of 5 : 2 : 4, respectively. How many Y acres were used for corn? | {
"A": "188",
"B": "258",
"C": "376",
"D": "470",
"E": "517"
} | multiply(divide(add(multiply(const_1000, const_1), add(multiply(const_10, const_3), 4)), add(add(5, 2), 4)), 4) | add(n1,n2)|multiply(const_10,const_3)|multiply(const_1,const_1000)|add(n3,#1)|add(n3,#0)|add(#3,#2)|divide(#5,#4)|multiply(n3,#6)| | "consider 5 x acres of land used for bean consider 2 x acres of land used for wheat consider 4 x acres of land used for corn total given is 1034 acres 11 x = 1034 x = 94 land used for corn y = 4 * 94 = 376 correct option - c" | other |
math_qa__PNuzYuZb2IYB04FL | 10 play kabadi, 15 play kho kho only, 5 play both gmaes. Then how many in total? Pick one:
A) 25 B) 35 C) 38 D) 40 E) 45 | <gadget id="calculator">15 + 5</gadget>
<output>20</output>
<gadget id="calculator">10 + 20</gadget>
<output>30</output>
<gadget id="calculator">30 - 5</gadget>
<output>25</output>
<result>A</result> | A | 25 | 10 play kabadi, 15 play kho kho only, 5 play both gmaes. Then how many in total? | {
"A": "25",
"B": "35",
"C": "38",
"D": "40",
"E": "45"
} | subtract(add(10, add(15, 5)), 5) | add(n1,n2)|add(n0,#0)|subtract(#1,n2)| | "10 play kabadi = > n ( a ) = 10 , 5 play both gmaes . = > n ( anb ) = 5 15 play kho kho only , = > n ( b ) = n ( b only ) + n ( anb ) = 15 + 5 = 20 total = > n ( aub ) = n ( a ) + n ( b ) - n ( anb ) = 10 + 20 - 5 = 25 answer : a" | general |
math_qa__lmp6T4UJFWr21KXn | $500 will become $1000 in 5 years find the rate of interest? Choose the correct choice.
A) 10 % B) 20 % C) 25 % D) 30 % E) 50 % | <gadget id="calculator">1_000 - 500</gadget>
<output>500</output>
<gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">500 * (1/20)</gadget>
<output>25</output>
<gadget id="calculator">500 / 25</gadget>
<output>20</output>
<result>B</result> | B | 20 | $500 will become $1000 in 5 years find the rate of interest? | {
"A": "10 %",
"B": "20 %",
"C": "25 %",
"D": "30 %",
"E": "50 %"
} | divide(subtract(1000, 500), multiply(500, divide(5, const_100))) | divide(n2,const_100)|subtract(n1,n0)|multiply(n0,#0)|divide(#1,#2) | si = simple interest = a - p = 1000 - 500 = $ 500 r = 100 si / pt = 100 * 500 / 500 * 5 = 20 % answer is b | gain |
math_qa__BryEmC8yslS5xesu | ((-1.9)(0.6) – (2.6)(1.2))/3.0 = ? Select the correct option
A) - 0.71 B) 1.0 C) 1.07 D) - 1.42 E) 2.71 | <gadget id="calculator">1.9 * 0.6</gadget>
<output>1.14</output>
<gadget id="calculator">-1.14</gadget>
<output>-1.14</output>
<gadget id="calculator">2.6 * 1.2</gadget>
<output>3.12</output>
<gadget id="calculator">(-1.14) - 3.12</gadget>
<output>-4.26</output>
<gadget id="calculator">(-4.26) / 3</gadget>
<output>-1.42</output>
<result>D</result> | D | -1.42 | ((-1.9)(0.6) – (2.6)(1.2))/3.0 = ? | {
"A": "- 0.71",
"B": "1.0",
"C": "1.07",
"D": "- 1.42",
"E": "2.71"
} | divide(subtract(negate(multiply(1.9, 0.6)), multiply(2.6, 1.2)), 3.0) | multiply(n0,n1)|multiply(n2,n3)|negate(#0)|subtract(#2,#1)|divide(#3,n4)| | "dove straight into calculation ( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 3.0 = - 1.42 answer d" | general |
math_qa__h9YoKVwgwArFomBk | the number 523 rbc is divisible by 7 , 89 . then what is the value of r * b * c Choose the correct answer.
A) 504 B) 532 C) 210 D) 180 E) 280 | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">6 * 5</gadget>
<output>30</output>
<gadget id="calculator">30 * 6</gadget>
<output>180</output>
<result>D</result> | D | 180 | the number 523 rbc is divisible by 7 , 89 . then what is the value of r * b * c | {
"A": "504",
"B": "532",
"C": "210",
"D": "180",
"E": "280"
} | multiply(multiply(multiply(const_3, const_2), add(const_2, const_3)), multiply(const_3, const_2)) | add(const_2,const_3)|multiply(const_2,const_3)|multiply(#0,#1)|multiply(#2,#1) | lcm of 7 , 8 and 9 is 504 , thus 523 rbc must be divisible by 504 . 523 rbc = 523000 + rbc 523000 divided by 504 gives a remainder of 352 . hence , 352 + rbc = k * 504 . k = 1 rbc = 152 - - > r * b * c = 10 k = 2 rbc = 656 - - > r * b * c = 180 as rbc is three digit number k can not be more than 2 . two answers ? well only one is listed in answer choices , so d . answer : d . | general |
math_qa__YvXxepYUS7DC3990 | A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. What is the market value of each share?
Pick one: A) rs . 12 B) rs . 18 C) rs . 15 D) rs . 21 E) rs . 25 | <gadget id="calculator">100 / 12</gadget>
<output>25/3 = around 8.333333</output>
<gadget id="calculator">9 / 100</gadget>
<output>9/100 = around 0.09</output>
<gadget id="calculator">(9/100) * 20</gadget>
<output>9/5 = around 1.8</output>
<gadget id="calculator">(25/3) * (9/5)</gadget>
<output>15</output>
<result>C</result> | C | 15 | A man buys Rs. 20 shares paying 9% dividend. The man wants to have an interest of 12% on his money. What is the market value of each share? | {
"A": "rs . 12",
"B": "rs . 18",
"C": "rs . 15",
"D": "rs . 21",
"E": "rs . 25"
} | multiply(divide(const_100, 12), multiply(divide(9, const_100), 20)) | divide(const_100,n2)|divide(n1,const_100)|multiply(n0,#1)|multiply(#0,#2)| | "explanation : face value of each share = rs . 20 dividend per share = 9 % of 20 = 9 × 20 / 100 = 9 / 5 he needs to have an interest of 12 % on his money ie , money paid for a share 9 × 12 / 100 = 9 / 5 money paid for a share = 9 / 5 × 100 / 12 = 15 ie , market value of the share = rs . 15 answer : option c" | gain |
math_qa__0RfYM1paC8nmKKdb | The sale price sarees listed for Rs.400 after successive discount is 10% and 8% is? Choose the correct choice from the following choices.
A) 338 B) 277 C) 331.2 D) 882 E) 212 | <gadget id="calculator">400 * 10</gadget>
<output>4_000</output>
<gadget id="calculator">4_000 / 100</gadget>
<output>40</output>
<gadget id="calculator">400 - 40</gadget>
<output>360</output>
<gadget id="calculator">360 * 8</gadget>
<output>2_880</output>
<gadget id="calculator">2_880 / 100</gadget>
<output>144/5 = around 28.8</output>
<gadget id="calculator">360 - (144/5)</gadget>
<output>1_656/5 = around 331.2</output>
<result>C</result> | C | 331.2 | The sale price sarees listed for Rs.400 after successive discount is 10% and 8% is? | {
"A": "338",
"B": "277",
"C": "331.2",
"D": "882",
"E": "212"
} | subtract(subtract(400, divide(multiply(400, 10), const_100)), divide(multiply(subtract(400, divide(multiply(400, 10), const_100)), 8), const_100)) | multiply(n0,n1)|divide(#0,const_100)|subtract(n0,#1)|multiply(n2,#2)|divide(#3,const_100)|subtract(#2,#4)| | "400 * ( 90 / 100 ) * ( 92 / 100 ) = 331.2 answer : c" | gain |
math_qa__Dd5jh9Yv9loNoAJG | A batch of cookies was divided amomg 6 tins: 2/3 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin Answers:
A) 15 / 2
B) 9 / 4
C) 5 / 9
D) 5 / 7
E) 9 / 7 | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 - (2/3)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(2/3) - (1/4)</gadget>
<output>5/12 = around 0.416667</output>
<gadget id="calculator">(1/3) + (5/12)</gadget>
<output>3/4 = around 0.75</output>
<result>D</result> | D | 0.714286 | A batch of cookies was divided amomg 6 tins: 2/3 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 1/4 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin | {
"A": "15 / 2",
"B": "9 / 4",
"C": "5 / 9",
"D": "5 / 7",
"E": "9 / 7"
} | add(subtract(const_1, divide(2, 3)), subtract(divide(2, 3), divide(1, 4))) | divide(n1,n2)|divide(n3,n4)|subtract(const_1,#0)|subtract(#0,#1)|add(#2,#3) | this will help reduce the number of variables you have to deal with : g + b = 2 / 3 r = 1 / 6 b = 1 / 4 we can solve for g which is 5 / 12 what fraction ( let it equal x ) of the cookies that were placed in the other tins were placed in the green tin ? so . . x * ( g + r ) = g x * ( 5 / 12 + 1 / 6 ) = 5 / 12 x = 5 / 7 answer : d | general |
math_qa__8mlh7mBSVXNtaWR8 | In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 28160, how many purple chips were selected? Choose the correct choice from the following options
A) 1 B) 2 C) 3 D) 4 E) 5 | <gadget id="calculator">5 - 2</gadget>
<output>3</output>
<result>C</result> | C | 3 | In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 28160, how many purple chips were selected? | {
"A": "1",
"B": "2",
"C": "3",
"D": "4",
"E": "5"
} | subtract(5, const_2) | subtract(n1,const_2)| | "28160 = 1 * 5 * 8 ^ 3 * 11 the factors of 8 must come from the purple point value , so there are 3 purple chips . the answer is c ." | general |
math_qa__nHNEIi0Z4u3XNSBU | Two numbers have a H.C.F of 12 and a product of two numbers is 2460. Find the L.C.M of the two numbers? Choose the correct choice from the following options.
A) 140 B) 150 C) 205 D) 170 E) 180 | <gadget id="calculator">2_460 / 12</gadget>
<output>205</output>
<result>C</result> | C | 205 | Two numbers have a H.C.F of 12 and a product of two numbers is 2460. Find the L.C.M of the two numbers? | {
"A": "140",
"B": "150",
"C": "205",
"D": "170",
"E": "180"
} | divide(2460, 12) | divide(n1,n0)| | "l . c . m of two numbers is given by ( product of the two numbers ) / ( h . c . f of the two numbers ) = 2460 / 12 = 205 . answer : c" | physics |
math_qa__2T3BG7goH4CensGY | If a-b= 9 and a^2+b^2=281, find the value of ab Choose the correct option.
A) 100 B) 12 C) 15 D) 18 E) 19 | <gadget id="calculator">281 ** (1/2)</gadget>
<output>sqrt(281) = around 16.763055</output>
<gadget id="calculator">(sqrt(281)) - 9</gadget>
<output>-9 + sqrt(281) = around 7.763055</output>
<gadget id="calculator">(-9 + sqrt(281)) / 2</gadget>
<output>-9/2 + sqrt(281)/2 = around 3.881527</output>
<gadget id="calculator">9 + (-9/2 + sqrt(281)/2)</gadget>
<output>9/2 + sqrt(281)/2 = around 12.881527</output>
<gadget id="calculator">(9/2 + sqrt(281)/2) * (-9/2 + sqrt(281)/2)</gadget>
<output>(-9/2 + sqrt(281)/2)*(9/2 + sqrt(281)/2) = around 50</output>
<gadget id="calculator">((-9/2 + sqrt(281)/2)*(9/2 + sqrt(281)/2)) * 2</gadget>
<output>2*(-9/2 + sqrt(281)/2)*(9/2 + sqrt(281)/2) = around 100</output>
<result>A</result> | A | 100 | If a-b= 9 and a^2+b^2=281, find the value of ab | {
"A": "100",
"B": "12",
"C": "15",
"D": "18",
"E": "19"
} | multiply(multiply(add(9, divide(subtract(sqrt(281), 9), 2)), divide(subtract(sqrt(281), 9), 2)), 2) | sqrt(n3)|subtract(#0,n0)|divide(#1,n1)|add(n0,#2)|multiply(#3,#2)|multiply(n1,#4)| | "2 ab = ( a ^ 2 + b ^ 2 ) - ( a - b ) ^ 2 = 281 - 81 = 200 = > ab = 100 answer : a" | general |
math_qa__fzw1jqOW2HRb36pv | If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 16 integers, Y consists of 18 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers? Choose one
A) 6 B) 16 C) 22 D) 30 E) 174 | <gadget id="calculator">18 - 6</gadget>
<output>12</output>
<gadget id="calculator">16 - 6</gadget>
<output>10</output>
<gadget id="calculator">12 + 10</gadget>
<output>22</output>
<result>C</result> | C | 22 | If X and Y are sets of integers, X # Y denotes the set of integers that belong to set X or set Y, but not both. If X consists of 16 integers, Y consists of 18 integers, and 6 of the integers are in both X and Y, then X # Y consists of how many integers? | {
"A": "6",
"B": "16",
"C": "22",
"D": "30",
"E": "174"
} | add(subtract(18, 6), subtract(16, 6)) | subtract(n1,n2)|subtract(n0,n2)|add(#0,#1)| | "the number of integers that belong to set x only is 16 - 6 = 10 ; the number of integers that belong to set y only is 18 - 6 = 12 ; the number of integers that belong to set x or set y , but not both is 10 + 12 = 22 . answer : c" | other |
math_qa__b4tfUZN4c4N3m7IF | A train is moving at 6/7 of its usual speed. The train is 15 minutes too late. What is the usual time (in hours) for the train to complete the journey? Choose the correct choice from the following options: A) 1 B) 1.5 C) 2 D) 2.5 E) 3 | <gadget id="calculator">6 / 7</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">15 * (6/7)</gadget>
<output>90/7 = around 12.857143</output>
<gadget id="calculator">1 - (6/7)</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">1 / (1/7)</gadget>
<output>7</output>
<gadget id="calculator">(90/7) * 7</gadget>
<output>90</output>
<gadget id="calculator">90 / 60</gadget>
<output>3/2 = around 1.5</output>
<result>B</result> | B | 1.5 | A train is moving at 6/7 of its usual speed. The train is 15 minutes too late. What is the usual time (in hours) for the train to complete the journey? | {
"A": "1",
"B": "1.5",
"C": "2",
"D": "2.5",
"E": "3"
} | divide(multiply(multiply(15, divide(6, 7)), inverse(subtract(const_1, divide(6, 7)))), const_60) | divide(n0,n1)|multiply(n2,#0)|subtract(const_1,#0)|inverse(#2)|multiply(#3,#1)|divide(#4,const_60)| | "new time = d / ( 6 v / 7 ) = 7 / 6 * usual time 15 minutes represents 1 / 6 of the usual time . the usual time is 1.5 hours . the answer is b ." | physics |
math_qa__TGDQ7NvBkkr5Ga0J | There are 2 sections A and B in a class, consisting of 60 and 70 students respectively. If the average weight of section A is 60kg and that of section B is 80kg, Find the average of the whole class?
Choose the correct option:
A) 50.78 kg B) 49.32 kg C) 70.76 kg D) 69.15 kg E) 70.89 kg | <gadget id="calculator">60 * 60</gadget>
<output>3_600</output>
<gadget id="calculator">70 * 80</gadget>
<output>5_600</output>
<gadget id="calculator">3_600 + 5_600</gadget>
<output>9_200</output>
<gadget id="calculator">60 + 70</gadget>
<output>130</output>
<gadget id="calculator">9_200 / 130</gadget>
<output>920/13 = around 70.769231</output>
<result>C</result> | C | 70.76 | There are 2 sections A and B in a class, consisting of 60 and 70 students respectively. If the average weight of section A is 60kg and that of section B is 80kg, Find the average of the whole class? | {
"A": "50.78 kg",
"B": "49.32 kg",
"C": "70.76 kg",
"D": "69.15 kg",
"E": "70.89 kg"
} | divide(add(multiply(60, 60), multiply(70, 80)), add(60, 70)) | add(n1,n2)|multiply(n1,n3)|multiply(n2,n4)|add(#1,#2)|divide(#3,#0)| | "total weight of 60 + 70 students = 60 * 60 + 70 * 80 = 3600 + 5600 average weight of the class is = 9200 / 130 = 70.76 kg answer is c" | general |
math_qa__HXM4G9mqZQm0IZ6O | A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 80% more recliners. What is the percentage increase of the gross? Choose the correct answer.
A) 10 % B) 15 % C) 20 % D) 25 % E) 44 % | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 + (4/5)</gadget>
<output>9/5 = around 1.8</output>
<gadget id="calculator">(4/5) * (9/5)</gadget>
<output>36/25 = around 1.44</output>
<gadget id="calculator">(36/25) * 100</gadget>
<output>144</output>
<gadget id="calculator">144 - 100</gadget>
<output>44</output>
<result>E</result> | E | 44 | A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 80% more recliners. What is the percentage increase of the gross? | {
"A": "10 %",
"B": "15 %",
"C": "20 %",
"D": "25 %",
"E": "44 %"
} | subtract(multiply(multiply(subtract(const_1, divide(20, const_100)), add(const_1, divide(80, const_100))), const_100), const_100) | divide(n1,const_100)|divide(n0,const_100)|add(#0,const_1)|subtract(const_1,#1)|multiply(#2,#3)|multiply(#4,const_100)|subtract(#5,const_100)| | "say a recliner is actually worth $ 100 if she sells 100 recliners then she earns $ 10000 after the discount of 20 % , she will earn $ 80 per recliner and she sells 80 % more ie . , 180 recliners hence her sales tields 180 * 80 = $ 14400 increase in sales = 14400 - 10000 = $ 4400 so % increase = 4400 * 100 / 10000 = 44 % e is the answer" | general |
math_qa__umgVmgkMcxC9xLzW | In a family 19 people eat only vegetarian, 9 people eat only non veg., 12 people eat both veg and non veg.. How many people eat veg in the family? Choose the most appropriate option:
A) 20 B) 31 C) 9 D) 31 E) 21 | <gadget id="calculator">19 + 12</gadget>
<output>31</output>
<result>B</result> | B | 31 | In a family 19 people eat only vegetarian, 9 people eat only non veg., 12 people eat both veg and non veg.. How many people eat veg in the family? | {
"A": "20",
"B": "31",
"C": "9",
"D": "31",
"E": "21"
} | add(19, 12) | add(n0,n2)| | "total people eat veg = only veg + both veg and non veg total = 19 + 12 = 31 answer = b" | other |
math_qa__fFWA41AdfYfji60v | Two friends plan to walk along a 36-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 25% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other? Choose the correct choice from the following answers.
A) 19 B) 20 C) 21 D) 22 E) 23 | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) + 1</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">(5/4) + 1</gadget>
<output>9/4 = around 2.25</output>
<gadget id="calculator">36 / (9/4)</gadget>
<output>16</output>
<gadget id="calculator">16 * (5/4)</gadget>
<output>20</output>
<result>B</result> | B | 20 | Two friends plan to walk along a 36-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 25% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other? | {
"A": "19",
"B": "20",
"C": "21",
"D": "22",
"E": "23"
} | multiply(divide(36, add(add(divide(25, const_100), const_1), const_1)), add(divide(25, const_100), const_1)) | divide(n1,const_100)|add(#0,const_1)|add(#1,const_1)|divide(n0,#2)|multiply(#1,#3) | if q complete x kilometers , then p completes 1.25 x kilometers . x + 1.25 x = 36 2.25 x = 36 x = 16 then p will have have walked 1.25 * 16 = 20 km . the answer is b . | gain |
math_qa__p072vqb99l2A9eHE | L.C.M of two numbers is 192 and there H.C.F is 16. If one of them is 48. Find the other
Answers
A) 32 B) 64 C) 48 D) 68 E) 78 | <gadget id="calculator">192 * 16</gadget>
<output>3_072</output>
<gadget id="calculator">3_072 / 48</gadget>
<output>64</output>
<result>B</result> | B | 64 | L.C.M of two numbers is 192 and there H.C.F is 16. If one of them is 48. Find the other | {
"A": "32",
"B": "64",
"C": "48",
"D": "68",
"E": "78"
} | divide(multiply(192, 16), 48) | multiply(n0,n1)|divide(#0,n2) | explanation : product of two numbers = product of their l . c . m and h . c . f 48 x a = 192 x 16 a = ( 192 x 16 ) / 48 = 64 answer : option b | physics |
math_qa__8MjHH0K8n7ltDkC3 | At 3.40, the hour hand and the minute hand of a clock form an angle of Choose the correct answer:
A) 378
B) 277
C) 297
D) 267
E) 130 | <gadget id="calculator">2 ** 3</gadget>
<output>8</output>
<gadget id="calculator">3 * 8</gadget>
<output>24</output>
<gadget id="calculator">10 * 24</gadget>
<output>240</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">3.4 * 5</gadget>
<output>17</output>
<gadget id="calculator">17 - 5</gadget>
<output>12</output>
<gadget id="calculator">12 - 1</gadget>
<output>11</output>
<gadget id="calculator">11 * 10</gadget>
<output>110</output>
<gadget id="calculator">240 - 110</gadget>
<output>130</output>
<result>E</result> | E | 130 | At 3.40, the hour hand and the minute hand of a clock form an angle of | {
"A": "378",
"B": "277",
"C": "297",
"D": "267",
"E": "130"
} | subtract(multiply(const_10, multiply(const_3, power(const_2, const_3))), multiply(subtract(subtract(multiply(3.4, add(const_4, const_1)), add(const_4, const_1)), const_1), const_10)) | add(const_1,const_4)|power(const_2,const_3)|multiply(#1,const_3)|multiply(n0,#0)|multiply(#2,const_10)|subtract(#3,#0)|subtract(#5,const_1)|multiply(#6,const_10)|subtract(#4,#7) | sol : use formula θ = ∣ ∣ ∣ 30 h − 112 m ∣ ∣ ∣ θ = | 30 h − 112 m | angle = 30 × 3 – 11 / 2 × 40 = 90 – 220 = 130 ° answer : e | physics |
math_qa__ErMEsTpdOiZoS1r0 | X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join? Choose the most appropriate option
A) 3
B) 4
C) 6
D) 9
E) 5 | <gadget id="calculator">14_000 / 50_000</gadget>
<output>7/25 = around 0.28</output>
<gadget id="calculator">20_000 + 25_000</gadget>
<output>45_000</output>
<gadget id="calculator">45_000 * 12</gadget>
<output>540_000</output>
<gadget id="calculator">(7/25) * 540_000</gadget>
<output>151_200</output>
<gadget id="calculator">1 - (7/25)</gadget>
<output>18/25 = around 0.72</output>
<gadget id="calculator">151_200 / (18/25)</gadget>
<output>210_000</output>
<gadget id="calculator">210_000 / 30_000</gadget>
<output>7</output>
<gadget id="calculator">12 - 7</gadget>
<output>5</output>
<result>E</result> | E | 5 | X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000, then after how many months from the beginning did Z join? | {
"A": "3",
"B": "4",
"C": "6",
"D": "9",
"E": "5"
} | subtract(const_12, divide(divide(multiply(divide(14000, 50000), multiply(add(20000, 25000), const_12)), subtract(const_1, divide(14000, 50000))), 30000)) | add(n0,n1)|divide(n4,n3)|multiply(#0,const_12)|subtract(const_1,#1)|multiply(#1,#2)|divide(#4,#3)|divide(#5,n2)|subtract(const_12,#6) | investments of x , y and z respectively are rs . 20000 , rs . 25000 and rs . 30000 let investment period of z be x months . ratio of annual investments of x , y and z is ( 20000 * 12 ) : ( 25000 * 12 ) : ( 30000 * x ) = 240 : 300 : 30 x = 8 : 10 : x the share of z in the annual profit of rs . 50000 is rs . 14000 . = > [ x / ( 18 + x ) ] 50000 = 14000 = > [ x / ( 18 + x ) ] 25 = 7 = > 25 x = 7 x + ( 18 * 7 ) = > x = 7 months . z joined the business after ( 12 - 7 ) months . i . e . , 5 months . answer : e | gain |
math_qa__mukSkI2ixVwktEjQ | If k is an integer and 121 < k^2 < 225, then k can have at most how many values?
Choose the correct choice from the following answers.
A) 3 B) 4 C) 5 D) 6 E) 8 | <gadget id="calculator">225 ** (1/2)</gadget>
<output>15</output>
<gadget id="calculator">121 ** (1/2)</gadget>
<output>11</output>
<gadget id="calculator">15 - 11</gadget>
<output>4</output>
<gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<result>D</result> | D | 6 | If k is an integer and 121 < k^2 < 225, then k can have at most how many values? | {
"A": "3",
"B": "4",
"C": "5",
"D": "6",
"E": "8"
} | multiply(subtract(subtract(sqrt(225), sqrt(121)), const_1), const_2) | sqrt(n2)|sqrt(n0)|subtract(#0,#1)|subtract(#2,const_1)|multiply(#3,const_2) | given k is an integer 121 < k ^ 2 < 225 11 < | k | < 15 k = - 12 , - 13 , - 1412 , 1314 answer : d | general |
math_qa__h4If2AxdXX3qN8f1 | An error 17% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square? Pick:
A) 6.64 % B) 36.89 % C) 15.64 % D) 26.64 % E) 10.64 % | <gadget id="calculator">100 + 17</gadget>
<output>117</output>
<gadget id="calculator">117 ** 2</gadget>
<output>13_689</output>
<gadget id="calculator">100 ** 2</gadget>
<output>10_000</output>
<gadget id="calculator">13_689 - 10_000</gadget>
<output>3_689</output>
<gadget id="calculator">3_689 * 100</gadget>
<output>368_900</output>
<gadget id="calculator">368_900 / 10_000</gadget>
<output>3_689/100 = around 36.89</output>
<result>B</result> | B | 36.89 | An error 17% in excess is made while measuring the side of a square. Now What is the percentage of error in the calculated area of the square? | {
"A": "6.64 %",
"B": "36.89 %",
"C": "15.64 %",
"D": "26.64 %",
"E": "10.64 %"
} | divide(multiply(subtract(square_area(add(const_100, 17)), square_area(const_100)), const_100), square_area(const_100)) | add(n0,const_100)|square_area(const_100)|square_area(#0)|subtract(#2,#1)|multiply(#3,const_100)|divide(#4,#1)| | "percentage error in calculated area = ( 17 + 17 + ( 17 ã — 17 ) / 100 ) % = 36.89 % answer : b" | gain |
math_qa__E7ZffLzw1vLn6nqs | A boat can travel with a speed of 40km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 45km downstream. Select: A) 1 hr B) 2 hrs C) 3 hrs D) 4 hrs E) 5 hrs | <gadget id="calculator">40 + 5</gadget>
<output>45</output>
<gadget id="calculator">45 / 45</gadget>
<output>1</output>
<result>A</result> | A | 1 | A boat can travel with a speed of 40km/hr in still water. If the speed of the stream is 5km/hr, find the time taken by the boat to go 45km downstream. | {
"A": "1 hr",
"B": "2 hrs",
"C": "3 hrs",
"D": "4 hrs",
"E": "5 hrs"
} | divide(45, add(40, 5)) | add(n0,n1)|divide(n2,#0)| | "speed downstream = ( 40 + 5 ) km / hr = 45 km / hr . time taken to travel 45 km downstream = 45 / 45 hrs = 1 hrs . answer : a" | physics |
math_qa__GudLPghyAbRcjTAT | 3 candidates in an election and received 1036, 4636 and 11628 votes respectively. What % of the total votes did the winning candidate gotin that election?
Answers.
A) 40 % B) 55 % C) 57 % D) 60 % E) 67.2 % | <gadget id="calculator">1_036 + 4_636</gadget>
<output>5_672</output>
<gadget id="calculator">5_672 + 11_628</gadget>
<output>17_300</output>
<gadget id="calculator">11_628 / 17_300</gadget>
<output>2_907/4_325 = around 0.672139</output>
<gadget id="calculator">(2_907/4_325) * 100</gadget>
<output>11_628/173 = around 67.213873</output>
<result>E</result> | E | 67.2 | 3 candidates in an election and received 1036, 4636 and 11628 votes respectively. What % of the total votes did the winning candidate gotin that election? | {
"A": "40 %",
"B": "55 %",
"C": "57 %",
"D": "60 %",
"E": "67.2 %"
} | multiply(divide(11628, add(add(1036, 4636), 11628)), const_100) | add(n1,n2)|add(n3,#0)|divide(n3,#1)|multiply(#2,const_100) | total number of votes polled = ( 1036 + 4636 + 11628 ) = 17300 so , required percentage = 11628 / 17300 * 100 = 67.2 % e | gain |
math_qa__uPlpWXMEV8lnCxOM | Find the amount on Rs.5000 in 2 years, the rate of interest being 2% per first year and 3% for the second year? Choose the correct choice:
A) 3377 B) 2678 C) 5460 D) 1976 E) 5253 | <gadget id="calculator">100 + 2</gadget>
<output>102</output>
<gadget id="calculator">5_000 * 102</gadget>
<output>510_000</output>
<gadget id="calculator">510_000 / 100</gadget>
<output>5_100</output>
<gadget id="calculator">100 + 3</gadget>
<output>103</output>
<gadget id="calculator">5_100 * 103</gadget>
<output>525_300</output>
<gadget id="calculator">525_300 / 100</gadget>
<output>5_253</output>
<result>E</result> | E | 5,253 | Find the amount on Rs.5000 in 2 years, the rate of interest being 2% per first year and 3% for the second year? | {
"A": "3377",
"B": "2678",
"C": "5460",
"D": "1976",
"E": "5253"
} | divide(multiply(divide(multiply(5000, add(const_100, 2)), const_100), add(const_100, 3)), const_100) | add(n3,const_100)|add(n2,const_100)|multiply(n0,#1)|divide(#2,const_100)|multiply(#0,#3)|divide(#4,const_100)| | "5000 * 102 / 100 * 103 / 100 = > 5253 answer : e" | gain |
math_qa__XP0ETCxCXxt0RyQW | Find the missing figures: 0.25% of ? = 0.04 Choose the most appropriate option
A) 16
B) 20
C) 17
D) 12
E) 18 | <gadget id="calculator">0.25 / 100</gadget>
<output>0.0025</output>
<gadget id="calculator">0.04 / 0.0025</gadget>
<output>16</output>
<result>A</result> | A | 16 | Find the missing figures: 0.25% of ? = 0.04 | {
"A": "16",
"B": "20",
"C": "17",
"D": "12",
"E": "18"
} | divide(0.04, divide(0.25, const_100)) | divide(n0,const_100)|divide(n1,#0)| | "let 0.25 % of x = 0.04 . then , 0.25 * x / 100 = 0.04 x = [ ( 0.04 * 100 ) / 0.25 ] = 16 . answer is a ." | gain |
math_qa__qJr7pXsYKKG7XC1N | Cricket match is conducted in US. The run rate of a cricket game was only 3.2 in first 10 over. What should be the run rate in the remaining 40 overs to reach the target of 262 runs? Choices:
A) 6 B) 6.25 C) 5.75 D) 7.5 E) 8 | <gadget id="calculator">3.2 * 10</gadget>
<output>32</output>
<gadget id="calculator">262 - 32</gadget>
<output>230</output>
<gadget id="calculator">230 / 40</gadget>
<output>23/4 = around 5.75</output>
<result>C</result> | C | 5.75 | Cricket match is conducted in US. The run rate of a cricket game was only 3.2 in first 10 over. What should be the run rate in the remaining 40 overs to reach the target of 262 runs? | {
"A": "6",
"B": "6.25",
"C": "5.75",
"D": "7.5",
"E": "8"
} | divide(subtract(262, multiply(3.2, 10)), 40) | multiply(n0,n1)|subtract(n3,#0)|divide(#1,n2)| | "required run rate = 262 - ( 3.2 x 10 ) = 230 = 5.75 40 40 c" | gain |
math_qa__QjJPh3TGNPi9nzwg | The mean of 40 observations was 36. It was found later that an observation 34 was wrongly taken as 20. The corrected new mean is Answers:
A) 76.55
B) 36.35
C) 46.15
D) 16.05
E) 20 | <gadget id="calculator">36 * 40</gadget>
<output>1_440</output>
<gadget id="calculator">40 - 2</gadget>
<output>38</output>
<gadget id="calculator">38 - 20</gadget>
<output>18</output>
<gadget id="calculator">1_440 + 18</gadget>
<output>1_458</output>
<gadget id="calculator">1_458 / 40</gadget>
<output>729/20 = around 36.45</output>
<result>B</result> | B | 36.35 | The mean of 40 observations was 36. It was found later that an observation 34 was wrongly taken as 20. The corrected new mean is | {
"A": "76.55",
"B": "36.35",
"C": "46.15",
"D": "16.05",
"E": "20"
} | divide(add(multiply(36, 40), subtract(subtract(40, const_2), 20)), 40) | multiply(n0,n1)|subtract(n0,const_2)|subtract(#1,n3)|add(#0,#2)|divide(#3,n0)| | "explanation : correct sum = ( 36 * 40 + 34 - 20 ) = 1454 correct mean = = 1454 / 40 = 36.35 answer : b" | general |
math_qa__ZwQq308BLH9zx1Kn | A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 40%, what is the total capacity of the pool in gallons? Choices
A) 1000
B) 1312.5
C) 1400
D) 1600
E) 1625 | <gadget id="calculator">300 * 100</gadget>
<output>30_000</output>
<gadget id="calculator">30_000 / 40</gadget>
<output>750</output>
<gadget id="calculator">750 + 300</gadget>
<output>1_050</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1_050 / (4/5)</gadget>
<output>2_625/2 = around 1_312.5</output>
<result>B</result> | B | 1,312.5 | A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 40%, what is the total capacity of the pool in gallons? | {
"A": "1000",
"B": "1312.5",
"C": "1400",
"D": "1600",
"E": "1625"
} | divide(add(divide(multiply(300, const_100), 40), 300), divide(80, const_100)) | divide(n1,const_100)|multiply(n0,const_100)|divide(#1,n3)|add(n0,#2)|divide(#3,#0)| | "300 gallons of water increases capacity by 40 % that means 40 % is 300 gallons , so 100 % would be = 300 * 100 / 40 = 750 gallons now 750 + 300 gallons is 80 % capacity of tank . so 100 % capacity would be = 1050 * 100 / 80 = 1312.5 b is the answer" | general |
math_qa__jXTo2KB6700EIGtD | total dinning bill of 5 people was $139.00 and 10% tip divided the bill evenly ?what is the bill amount each person shared .
Pick one: A) 32.84 B) 22.84 C) 30.58 D) 24.84 E) 30.84 | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) + 1</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">139 * (11/10)</gadget>
<output>1_529/10 = around 152.9</output>
<gadget id="calculator">(1_529/10) / 5</gadget>
<output>1_529/50 = around 30.58</output>
<result>C</result> | C | 30.58 | total dinning bill of 5 people was $139.00 and 10% tip divided the bill evenly ?what is the bill amount each person shared . | {
"A": "32.84",
"B": "22.84",
"C": "30.58",
"D": "24.84",
"E": "30.84"
} | divide(multiply(139.00, add(divide(const_1, 10), const_1)), 5) | divide(const_1,n2)|add(#0,const_1)|multiply(n1,#1)|divide(#2,n0)| | "dinner bill of 5 person = 139 + 10 % tip so , 10 % of 139 = ( 139 * 10 ) / 100 = 13.9 so , the actual total amount = 139 + 13.9 = $ 152.9 so per head bill = 152.9 / 5 = $ 30.58 answer : c" | general |
math_qa__vLqL6QxGzTOsiGTO | At a monthly meeting, 3/5 of the attendees were males and 4/5 of the male attendees arrived on time. If 5/6 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time? Select:
A) 6 / 25
B) 11 / 50
C) 14 / 75
D) 23 / 100
E) 31 / 150 | <gadget id="calculator">5 / 6</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">1 - (5/6)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(1/6) * (2/5)</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">1 - (4/5)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * (3/5)</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">(1/15) + (3/25)</gadget>
<output>14/75 = around 0.186667</output>
<result>C</result> | C | 0.186667 | At a monthly meeting, 3/5 of the attendees were males and 4/5 of the male attendees arrived on time. If 5/6 of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time? | {
"A": "6 / 25",
"B": "11 / 50",
"C": "14 / 75",
"D": "23 / 100",
"E": "31 / 150"
} | add(multiply(subtract(const_1, divide(5, 6)), subtract(const_1, divide(3, 5))), multiply(subtract(const_1, divide(4, 5)), divide(3, 5))) | divide(n4,n5)|divide(n0,n1)|divide(n2,n3)|subtract(const_1,#0)|subtract(const_1,#1)|subtract(const_1,#2)|multiply(#3,#4)|multiply(#1,#5)|add(#6,#7)| | "males who did not arrive on time are 1 / 5 * 3 / 5 = 3 / 25 of the attendees . females who did not arrive on time are 1 / 6 * 2 / 5 = 1 / 15 of the attendees . the fraction of all attendees who did not arrive on time is 3 / 25 + 1 / 15 = 14 / 75 the answer is c ." | general |
math_qa__gi4C3Cn5QBBDpbuy | the sum of 7 consecutive integers is 980 . how many of them are prime ? Choose the correct choice from the following options: A) 0 B) 1 C) 2 D) 3 E) 4 | <gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">3 + 3</gadget>
<output>6</output>
<gadget id="calculator">10 - 6</gadget>
<output>4</output>
<gadget id="calculator">4 - 2</gadget>
<output>2</output>
<result>C</result> | C | 2 | the sum of 7 consecutive integers is 980 . how many of them are prime ? | {
"A": "0",
"B": "1",
"C": "2",
"D": "3",
"E": "4"
} | subtract(subtract(const_10, add(add(const_1, const_2), const_3)), const_2) | add(const_1,const_2)|add(#0,const_3)|subtract(const_10,#1)|subtract(#2,const_2) | the middle number is 140 and the seven numbers are 137 , 138 , 139 , · · · , 143 . now 138 , 140 , and 142 are even , 141 is divisible by 3 , and 143 - by 11 . the remaining numbers 137 and 139 are prime ( it is easy to check that they are not divisible by 23 , 57 and 11 ) . correct answer c | physics |
math_qa__zd9k5MW47NdbBxQP | How many prime numbers between 1 and 100 are factors of 210? Choices:
A) 5
B) 4
C) 3
D) 2
E) 1 | <gadget id="calculator">4 * 1</gadget>
<output>4</output>
<result>B</result> | B | 4 | How many prime numbers between 1 and 100 are factors of 210? | {
"A": "5",
"B": "4",
"C": "3",
"D": "2",
"E": "1"
} | multiply(const_4, const_1) | multiply(const_1,const_4) | factor of 210 = 2 * 3 * 5 * 7 - - - 4 prime numbers b | other |
math_qa__leWf5VO6cdKKPZUA | In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 20 percent, but profits were 12 percent of revenues. The profits in 1999 were what percent of the profits in 1998? Choose one
A) 80 % B) 105 % C) 96 % D) 124.2 % E) 138 % | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">(4/5) * (3/25)</gadget>
<output>12/125 = around 0.096</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(12/125) / (1/10)</gadget>
<output>24/25 = around 0.96</output>
<gadget id="calculator">(24/25) * 100</gadget>
<output>96</output>
<result>C</result> | C | 96 | In 1998 the profits of company N were 10 percent of revenues. In 1999, the revenues of company N fell by 20 percent, but profits were 12 percent of revenues. The profits in 1999 were what percent of the profits in 1998? | {
"A": "80 %",
"B": "105 %",
"C": "96 %",
"D": "124.2 %",
"E": "138 %"
} | multiply(divide(multiply(subtract(const_1, divide(20, const_100)), divide(12, const_100)), divide(10, const_100)), const_100) | divide(n4,const_100)|divide(n3,const_100)|divide(n1,const_100)|subtract(const_1,#1)|multiply(#0,#3)|divide(#4,#2)|multiply(#5,const_100)| | "0,096 r = x / 100 * 0.1 r answer c" | gain |
math_qa__b7MkLpGSFUZWK2Ox | When positive integer x is divided by 7, the quotient is y and the remainder is 3. When 2x is divided by 6, the quotient is 3y and the remainder is 2. What is the value of 11y – x?
Pick one:
A) 4 B) 3 C) 2 D) 1 E) 0 | <gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">6 - 2</gadget>
<output>4</output>
<gadget id="calculator">6 * 3</gadget>
<output>18</output>
<gadget id="calculator">2 * 7</gadget>
<output>14</output>
<gadget id="calculator">18 - 14</gadget>
<output>4</output>
<gadget id="calculator">4 / 4</gadget>
<output>1</output>
<gadget id="calculator">11 * 1</gadget>
<output>11</output>
<gadget id="calculator">7 * 1</gadget>
<output>7</output>
<gadget id="calculator">7 + 3</gadget>
<output>10</output>
<gadget id="calculator">11 - 10</gadget>
<output>1</output>
<result>D</result> | D | 1 | When positive integer x is divided by 7, the quotient is y and the remainder is 3. When 2x is divided by 6, the quotient is 3y and the remainder is 2. What is the value of 11y – x? | {
"A": "4",
"B": "3",
"C": "2",
"D": "1",
"E": "0"
} | subtract(multiply(11, divide(subtract(multiply(2, 3), 2), subtract(multiply(6, 3), multiply(2, 7)))), add(multiply(7, divide(subtract(multiply(2, 3), 2), subtract(multiply(6, 3), multiply(2, 7)))), 3)) | multiply(n1,n2)|multiply(n3,n4)|multiply(n0,n2)|subtract(#0,n5)|subtract(#1,#2)|divide(#3,#4)|multiply(n6,#5)|multiply(n0,#5)|add(n1,#7)|subtract(#6,#8)| | "( 1 ) x = 7 y + 3 ( 2 ) 2 x = 18 y + 2 ( 2 ) - ( 1 ) : x = 11 y - 1 11 y - x = 1 the answer is d ." | general |
math_qa__1bwHgUgGZBQDaJDh | we need to carve out 125 identical cubes from a cube . what is the minimum number of cuts needed? Choose the correct choice from the following options: A) 8 B) 9 C) 10 D) 11 E) 12 | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">125 ** (1/3)</gadget>
<output>5</output>
<gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<result>E</result> | E | 12 | we need to carve out 125 identical cubes from a cube . what is the minimum number of cuts needed? | {
"A": "8",
"B": "9",
"C": "10",
"D": "11",
"E": "12"
} | multiply(const_3, subtract(power(125, const_0_33), const_1)) | power(n0,const_0_33)|subtract(#0,const_1)|multiply(#1,const_3) | total no . of cubes = n ^ 3 here n ^ 3 = 125 which makes n = 5 , also minimum no . of cuts required = 3 ( n - 1 ) hence , 3 ( 5 - 1 ) = 12 cuts . answer : e | geometry |
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