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__bd0ooynZXXlg9foy | A man buys an article for $20. and sells it for $25. Find the gain percent? Answers: A) 25 % B) 50 % C) 20 % D) 15 % E) 30 % | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">25 / (1/5)</gadget>
<output>125</output>
<gadget id="calculator">125 - 100</gadget>
<output>25</output>
<result>A</result> | A | 25 | A man buys an article for $20. and sells it for $25. Find the gain percent? | {
"A": "25 %",
"B": "50 %",
"C": "20 %",
"D": "15 %",
"E": "30 %"
} | subtract(divide(25, divide(20, const_100)), const_100) | divide(n0,const_100)|divide(n1,#0)|subtract(#1,const_100)| | "c . p . = $ 20 s . p . = $ 25 gain = $ 5 gain % = 5 / 20 * 100 = 25 % answer is a" | gain |
math_qa__ABSLGIVbjxDg6FEg | add 20% of 40 and 25% of 60.
Choose the correct choice from the following options:
A) 9.5 B) 23 C) 25 D) 22 E) 15 | <gadget id="calculator">20 * 40</gadget>
<output>800</output>
<gadget id="calculator">800 / 100</gadget>
<output>8</output>
<gadget id="calculator">25 * 60</gadget>
<output>1_500</output>
<gadget id="calculator">1_500 / 100</gadget>
<output>15</output>
<gadget id="calculator">8 + 15</gadget>
<output>23</output>
<result>B</result> | B | 23 | add 20% of 40 and 25% of 60. | {
"A": "9.5",
"B": "23",
"C": "25",
"D": "22",
"E": "15"
} | add(divide(multiply(20, 40), const_100), divide(multiply(25, 60), const_100)) | multiply(n0,n1)|multiply(n2,n3)|divide(#0,const_100)|divide(#1,const_100)|add(#2,#3)| | "20 % of 40 + 25 % of 60 40 * 20 / 100 + 60 * 25 / 100 8 + 15 = 23 answer b" | gain |
math_qa__MtT2EvEoyq594wsi | Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 40 grades are D's. What is the number of students in the course? Select the correct option:
A) 80
B) 110
C) 160
D) 800
E) 400 | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/5) + (1/4)</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(9/20) + (1/2)</gadget>
<output>19/20 = around 0.95</output>
<gadget id="calculator">1 - (19/20)</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">40 / (1/20)</gadget>
<output>800</output>
<result>D</result> | D | 800 | Of the final grades received by the students in a certain math course, 1/5 are A's, 1/4 are B's, 1/2 are C's, and the remaining 40 grades are D's. What is the number of students in the course? | {
"A": "80",
"B": "110",
"C": "160",
"D": "800",
"E": "400"
} | divide(40, subtract(const_1, add(add(divide(1, 5), divide(1, 4)), divide(1, 2)))) | divide(n0,n1)|divide(n0,n3)|divide(n0,n5)|add(#0,#1)|add(#3,#2)|subtract(const_1,#4)|divide(n6,#5) | we start by creating a variable for the total number of students in the math course . we can say : t = total number of students in the math course next , we can use variable t in an equation that we translate from the given information . we are given that , of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 40 grades are d ' s . since this represents all the grades in the class , it represents all the students in the class . thus we know : # a ’ s + # b ’ s + # c ’ s + # d ’ s = total number of students in the class 1 / 5 ( t ) + ¼ ( t ) + ½ ( t ) + 40 = t we can multiply the entire equation by 20 to cancel out the denominators of the fractions and we have : 4 t + 5 t + 10 t + 800 = 20 t 19 t + 800 = 20 t 800 = t there are a total of 800 students in the math class . answer is d . | general |
math_qa__68QhpB6T6OnC8Zwx | The scoring system in a certain football competition goes as follows: 3 points for victory, 1 point for a draw, and 0 points for defeat. Each team plays 20 matches. If a team scored 8 points after 5 games, what is the least number of the remaining matches it has to win to reach the 40-point mark by the end of the tournament? Choose the correct choice from the following options:
A) 6
B) 7
C) 8
D) 9
E) 10 | <gadget id="calculator">40 - 8</gadget>
<output>32</output>
<gadget id="calculator">20 - 5</gadget>
<output>15</output>
<gadget id="calculator">32 - 15</gadget>
<output>17</output>
<gadget id="calculator">17 / 2</gadget>
<output>17/2 = around 8.5</output>
<gadget id="calculator">floor(17/2)</gadget>
<output>8</output>
<gadget id="calculator">8 + 1</gadget>
<output>9</output>
<result>D</result> | D | 9 | The scoring system in a certain football competition goes as follows: 3 points for victory, 1 point for a draw, and 0 points for defeat. Each team plays 20 matches. If a team scored 8 points after 5 games, what is the least number of the remaining matches it has to win to reach the 40-point mark by the end of the tournament? | {
"A": "6",
"B": "7",
"C": "8",
"D": "9",
"E": "10"
} | add(floor(divide(subtract(subtract(40, 8), subtract(20, 5)), const_2)), const_1) | subtract(n6,n4)|subtract(n3,n5)|subtract(#0,#1)|divide(#2,const_2)|floor(#3)|add(#4,const_1) | to get 40 points as end of season we need another 32 points or more from remaining 15 matches : option a = 6 * 3 + 9 * 1 = 27 option b = 7 * 3 + 8 * 1 = 29 option c = 8 * 3 + 7 * 1 = 31 option d = 9 * 3 + 6 * 1 = 33 hence option d - 9 | general |
math_qa__MwobCOorSnsD1YtM | What least number must be subtracted from 427398 so that remaining no.is divisible by 12 Pick one
A) 3 B) 5 C) 6 D) 7 E) 8 | <gadget id="calculator">427_398 / 12</gadget>
<output>71_233/2 = around 35_616.5</output>
<gadget id="calculator">floor(71_233/2)</gadget>
<output>35_616</output>
<gadget id="calculator">35_616 * 12</gadget>
<output>427_392</output>
<gadget id="calculator">427_398 - 427_392</gadget>
<output>6</output>
<result>C</result> | C | 6 | What least number must be subtracted from 427398 so that remaining no.is divisible by 12 | {
"A": "3",
"B": "5",
"C": "6",
"D": "7",
"E": "8"
} | subtract(427398, multiply(floor(divide(427398, 12)), 12)) | divide(n0,n1)|floor(#0)|multiply(n1,#1)|subtract(n0,#2) | explanation : on dividing 427398 by 12 we get the remainder 6 , so 6 should be subtracted answer : option c | general |
math_qa__qjLyIxleSowyzgE8 | Charges made by two companies for the same A/C
Company XCompany Y
Price$575$530
Surcharge as a Percent of Price4%3%
Installation Charge$82.50$93.00
The table above shows the various charges made by two companies for the same air conditioner. What is the total amount that can be saved on the purchase and installation of the air conditioner by dealing with the company that offers the lower total charge? Choose the correct choice from the following answers
A) $ 41.60 B) $ 45.00 C) $ 50.75 D) $ 55.75 E) $ 61.25 | <gadget id="calculator">4 / 100</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">(1/25) * 575</gadget>
<output>23</output>
<gadget id="calculator">575 + 23</gadget>
<output>598</output>
<gadget id="calculator">598 + 82.5</gadget>
<output>680.5</output>
<gadget id="calculator">3 / 100</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">(3/100) * 530</gadget>
<output>159/10 = around 15.9</output>
<gadget id="calculator">530 + (159/10)</gadget>
<output>5_459/10 = around 545.9</output>
<gadget id="calculator">(5_459/10) + 93</gadget>
<output>6_389/10 = around 638.9</output>
<gadget id="calculator">680.5 - (6_389/10)</gadget>
<output>41.6</output>
<result>A</result> | A | 41.6 | Charges made by two companies for the same A/C
Company XCompany Y
Price$575$530
Surcharge as a Percent of Price4%3%
Installation Charge$82.50$93.00
The table above shows the various charges made by two companies for the same air conditioner. What is the total amount that can be saved on the purchase and installation of the air conditioner by dealing with the company that offers the lower total charge? | {
"A": "$ 41.60",
"B": "$ 45.00",
"C": "$ 50.75",
"D": "$ 55.75",
"E": "$ 61.25"
} | subtract(add(add(575, multiply(divide(4, const_100), 575)), 82.5), add(add(530, multiply(divide(3, const_100), 530)), 93)) | divide(n2,const_100)|divide(n3,const_100)|multiply(n0,#0)|multiply(n1,#1)|add(n0,#2)|add(n1,#3)|add(n4,#4)|add(n5,#5)|subtract(#6,#7) | looking at the values / percentage , its clear that company x costlier than company y just observed the oa ; they have 4 distinct numbers after decimal point total calculation of company x gives . 00 + . 00 + . 50 = . 50 at the decimal total calculation of company y gives . 00 + . 90 + . 00 = . 90 at the decimal there difference provides . 60 at the decimal ; only 41.60 fits in answer = a | general |
math_qa__IVjkqTrtEQ88irWf | Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 49 hours and 25 hours respectively. The ratio of their speeds is?
Choices: A) 4 : 9 B) 5 : 7 C) 4 : 5 D) 4 : 1 E) 4 : 2 | <gadget id="calculator">25 ** (1/2)</gadget>
<output>5</output>
<gadget id="calculator">49 ** (1/2)</gadget>
<output>7</output>
<gadget id="calculator">5 / 7</gadget>
<output>5/7 = around 0.714286</output>
<result>B</result> | B | 0.714286 | Two trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 49 hours and 25 hours respectively. The ratio of their speeds is? | {
"A": "4 : 9",
"B": "5 : 7",
"C": "4 : 5",
"D": "4 : 1",
"E": "4 : 2"
} | divide(sqrt(25), sqrt(49)) | sqrt(n1)|sqrt(n0)|divide(#0,#1)| | "let us name the trains a and b . then , ( a ' s speed ) : ( b ' s speed ) = √ b : √ a = √ 25 : √ 49 = 5 : 7 answer : b" | physics |
math_qa__eP7zXAqUZfp4DnX4 | Total dinning bill for 6 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share
Pick one: A) $ 30.14 B) 40.44 C) 34.66 D) 32.29 E) 33.16 | <gadget id="calculator">15 * 211</gadget>
<output>3_165</output>
<gadget id="calculator">3_165 / 100</gadget>
<output>633/20 = around 31.65</output>
<gadget id="calculator">211 + (633/20)</gadget>
<output>4_853/20 = around 242.65</output>
<gadget id="calculator">(4_853/20) / 6</gadget>
<output>4_853/120 = around 40.441667</output>
<result>B</result> | B | 40.44 | Total dinning bill for 6 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share | {
"A": "$ 30.14",
"B": "40.44",
"C": "34.66",
"D": "32.29",
"E": "33.16"
} | divide(add(211.00, divide(multiply(15, 211.00), const_100)), 6) | multiply(n1,n2)|divide(#0,const_100)|add(n1,#1)|divide(#2,n0)| | "211 * 15 = 3165 / 100 = 31.65 211 + 31.65 = 242.65 242.65 / 6 = 40.44 answer : b" | general |
math_qa__1OxlbY3P0rFQMc5i | There are 400 female managers in a certain company. Find the total number of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers. Pick one
A) 800
B) 900
C) 1000
D) 1100
E) none of these | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">400 / (2/5)</gadget>
<output>1_000</output>
<result>C</result> | C | 1,000 | There are 400 female managers in a certain company. Find the total number of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers. | {
"A": "800",
"B": "900",
"C": "1000",
"D": "1100",
"E": "none of these"
} | divide(400, divide(2, 5)) | divide(n1,n2)|divide(n0,#0)| | as per question stem 2 / 5 m ( portion of men employees who are managers ) + 400 ( portion of female employees who are managers ) = 2 / 5 t ( portion of total number of employees who are managers ) , thus we get that 2 / 5 m + 400 = 2 / 5 t , or 2 / 5 ( t - m ) = 400 , from here we get that t - m = 1000 , that would be total number of female employees and the answer ( c ) | general |
math_qa__sFsaL76672eaF62e | A bucket full of nuts was discovered by the crow living in the basement. The crow eats a fifth of the total number of nuts in 8 hours. How many hours in total will it take the crow to finish a quarter of the nuts?
Choose the correct choice from the following options:
A) 9
B) 10
C) 11
D) 12
E) 14 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) / 8</gadget>
<output>1/40 = around 0.025</output>
<gadget id="calculator">(1/4) / (1/40)</gadget>
<output>10</output>
<result>B</result> | B | 10 | A bucket full of nuts was discovered by the crow living in the basement. The crow eats a fifth of the total number of nuts in 8 hours. How many hours in total will it take the crow to finish a quarter of the nuts? | {
"A": "9",
"B": "10",
"C": "11",
"D": "12",
"E": "14"
} | divide(divide(const_1, const_4), divide(divide(const_1, add(const_2, const_3)), 8)) | add(const_2,const_3)|divide(const_1,const_4)|divide(const_1,#0)|divide(#2,n0)|divide(#1,#3) | in one hour , the crow eats 1 / 40 of the nuts . ( 1 / 4 ) / ( 1 / 40 ) = 10 hours the answer is b . | general |
math_qa__NhnBAMxb0JGIzqDd | If all the numbers between 11 and 100 are written on a piece of paper. How many times will the number 4 be used? Pick:
A) 87 B) 267 C) 68 D) 26 E) 21 | <gadget id="calculator">100 - 11</gadget>
<output>89</output>
<result>A</result> | A | 87 | If all the numbers between 11 and 100 are written on a piece of paper. How many times will the number 4 be used? | {
"A": "87",
"B": "267",
"C": "68",
"D": "26",
"E": "21"
} | subtract(100, 11) | subtract(n1,n0) | we have to consider the number of 4 ' s in two digit numbers . _ _ if we fix 4 in the 10 th place , unit place be filled with 10 ways . if we fix 4 in units place , 10 th place be filled with 9 ways ( 0 is not allowed ) so total 19 ways . alternatively : answer : a | general |
math_qa__UyPtEhFQOHMVeyEC | The length and breadth of a square are increased by 40% and 30% respectively. The area of the rectangle so formed exceeds the area of the square by ?
Pick
A) 82 % B) 78 % C) 80 % D) 90 % E) none of these | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 + (2/5)</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">1 + (3/10)</gadget>
<output>13/10 = around 1.3</output>
<gadget id="calculator">(7/5) * (13/10)</gadget>
<output>91/50 = around 1.82</output>
<gadget id="calculator">(91/50) - 1</gadget>
<output>41/50 = around 0.82</output>
<gadget id="calculator">(41/50) * 100</gadget>
<output>82</output>
<result>A</result> | A | 82 | The length and breadth of a square are increased by 40% and 30% respectively. The area of the rectangle so formed exceeds the area of the square by ? | {
"A": "82 %",
"B": "78 %",
"C": "80 %",
"D": "90 %",
"E": "none of these"
} | multiply(subtract(multiply(add(const_1, divide(40, const_100)), add(const_1, divide(30, const_100))), const_1), const_100) | divide(n0,const_100)|divide(n1,const_100)|add(#0,const_1)|add(#1,const_1)|multiply(#2,#3)|subtract(#4,const_1)|multiply(#5,const_100) | since side 1 x side 2 = area therefore , net % change in area = ( x + y + xy / 100 ) % = [ 40 + 30 + ( 40 x 30 ) / 100 ] % or 82 % . therefore , area is increased by 82 % . answer : a | geometry |
math_qa__1mZF6XGZNWb7vSlI | When asked what the time is,a person answered that the amount of time left is 2/6 of the time already completed.what is the time.
Choose the correct choice from the following:
A) 2 pm
B) 9 pm
C) 3 pm
D) 6 pm
E) 7 pm | <gadget id="calculator">2 * 12</gadget>
<output>24</output>
<gadget id="calculator">2 / 6</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) + 1</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">24 / (4/3)</gadget>
<output>18</output>
<gadget id="calculator">24 - 18</gadget>
<output>6</output>
<result>D</result> | D | 6 | When asked what the time is,a person answered that the amount of time left is 2/6 of the time already completed.what is the time. | {
"A": "2 pm",
"B": "9 pm",
"C": "3 pm",
"D": "6 pm",
"E": "7 pm"
} | subtract(multiply(const_2, const_12), divide(multiply(const_2, const_12), add(divide(2, 6), const_1))) | divide(n0,n1)|multiply(const_12,const_2)|add(#0,const_1)|divide(#1,#2)|subtract(#1,#3) | a day has 24 hrs . assume x hours have passed . remaining time is ( 24 - x ) 24 − x = 2 / 6 x ⇒ x = 18 time is 6 pm answer : d | general |
math_qa__JMMWIwO8aLEvSCw7 | A walks at 10 kmph and 7 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A? Choose the correct option
A) 100 km B) 140 km C) 50 km D) 120 km E) 200 km | <gadget id="calculator">7 * 20</gadget>
<output>140</output>
<result>B</result> | B | 140 | A walks at 10 kmph and 7 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A? | {
"A": "100 km",
"B": "140 km",
"C": "50 km",
"D": "120 km",
"E": "200 km"
} | multiply(7, 20) | multiply(n1,n2)| | "suppose after x km from the start b catches up with a . then , the difference in the time taken by a to cover x km and that taken by b to cover x km is 7 hours . x / 10 - x / 20 = 7 x = 140 km answer is b" | physics |
math_qa__1ms6XULcMIluCJQi | The length of a rectangualr hll is 5m more than its breadth. The area of the hall is 750 m. The length of the hall is
Choose the correct choice from the following choices:
A) 15 m
B) 22.5 m
C) 25 m
D) 30 m
E) none | <gadget id="calculator">750 * 4</gadget>
<output>3_000</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">3_000 + 25</gadget>
<output>3_025</output>
<gadget id="calculator">3_025 ** (1/2)</gadget>
<output>55</output>
<gadget id="calculator">55 + 5</gadget>
<output>60</output>
<gadget id="calculator">60 / 2</gadget>
<output>30</output>
<gadget id="calculator">30 - 5</gadget>
<output>25</output>
<result>C</result> | C | 25 | The length of a rectangualr hll is 5m more than its breadth. The area of the hall is 750 m. The length of the hall is | {
"A": "15 m",
"B": "22.5 m",
"C": "25 m",
"D": "30 m",
"E": "none"
} | subtract(divide(add(sqrt(add(multiply(750, const_4), power(5, const_2))), 5), const_2), 5) | multiply(n1,const_4)|power(n0,const_2)|add(#0,#1)|sqrt(#2)|add(n0,#3)|divide(#4,const_2)|subtract(#5,n0) | solution let the length = xmetres . then length = ( x + 5 ) metres . then , x ( x + 5 ) = 750 = x ² + 5 x - 750 = 0 ( x + 30 ) ( x - 25 ) = 0 x = 25 . answer c | geometry |
math_qa__SzFv4aNTNX0IkARA | If a = 105 and a^3= 21 * 35 * 45 * b, what is the value of b? Pick: A) 35 B) 42 C) 45 D) 49 E) 54 | <gadget id="calculator">105 ** 3</gadget>
<output>1_157_625</output>
<gadget id="calculator">21 * 35</gadget>
<output>735</output>
<gadget id="calculator">735 * 45</gadget>
<output>33_075</output>
<gadget id="calculator">1_157_625 / 33_075</gadget>
<output>35</output>
<result>A</result> | A | 35 | If a = 105 and a^3= 21 * 35 * 45 * b, what is the value of b? | {
"A": "35",
"B": "42",
"C": "45",
"D": "49",
"E": "54"
} | divide(power(105, 3), multiply(multiply(21, 35), 45)) | multiply(n2,n3)|power(n0,n1)|multiply(n4,#0)|divide(#1,#2)| | "first step will be to break down all the numbers into their prime factors . 105 = 3 * 5 * 7 21 = 7 * 3 35 = 7 * 5 45 = 3 * 3 * 5 so , ( 105 ) ^ 3 = 3 * 7 * 7 * 5 * 3 * 3 * 5 * b therefore ( 3 * 5 * 7 ) ^ 3 = 3 ^ 3 * 5 ^ 2 * 7 ^ 2 * b therefore , b = 3 ^ 3 * 5 ^ 3 * 7 ^ 3 / 3 ^ 3 * 5 ^ 2 * 7 ^ 2 b = 5 * 7 = 35 correct answer a ." | general |
math_qa__eDF4N2caAdNfIBkO | A thief is spotted by a policeman from a distance of 175 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken? Answers.
A) 350 m B) 200 m C) 400 m D) 700 m E) none of them | <gadget id="calculator">175 * 8</gadget>
<output>1_400</output>
<gadget id="calculator">10 - 8</gadget>
<output>2</output>
<gadget id="calculator">1_400 / 2</gadget>
<output>700</output>
<result>D</result> | D | 700 | A thief is spotted by a policeman from a distance of 175 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken? | {
"A": "350 m",
"B": "200 m",
"C": "400 m",
"D": "700 m",
"E": "none of them"
} | divide(multiply(175, 8), subtract(10, 8)) | multiply(n0,n1)|subtract(n2,n1)|divide(#0,#1) | relative speed of the policeman = ( 10 - 8 ) km / hr = 2 km / hr . time taken by police man to cover ( 175 m / 1000 ) x 1 / 2 hr = 7 / 80 hr . in 7 / 80 hrs , the thief covers a distance of 8 x 7 / 80 km = 7 / 10 km = 700 m answer is d . | physics |
math_qa__vyppYaPuyCVdDToR | A semicircle has a radius of 20. What is the approximate perimeter of the semicircle? Pick one: A) 50 B) 25 C) 86 D) 75 E) 102 | <gadget id="calculator">2 * pi * 20</gadget>
<output>40*pi = around 125.663706</output>
<gadget id="calculator">(40*pi) / 2</gadget>
<output>20*pi = around 62.831853</output>
<gadget id="calculator">2 * 20</gadget>
<output>40</output>
<gadget id="calculator">(20*pi) + 40</gadget>
<output>40 + 20*pi = around 102.831853</output>
<result>E</result> | E | 102 | A semicircle has a radius of 20. What is the approximate perimeter of the semicircle? | {
"A": "50",
"B": "25",
"C": "86",
"D": "75",
"E": "102"
} | add(divide(circumface(20), const_2), multiply(const_2, 20)) | circumface(n0)|multiply(n0,const_2)|divide(#0,const_2)|add(#2,#1)| | "circumference of a circle = 2 pi * r perimeter of a semicircle = pi * r + 2 r aprox perimiter = 3.14 * 20 + 2 * 20 = 102.8 approximately 102 answer e" | geometry |
math_qa__0PqUBmekbOYZsrvy | A prize of $400 is to be distributed among 20 winners, each of whom must be awarded at least $20. If 2/5 of the prize will be distributed to 3/5 of the winners, what is the greatest possible individual award? Pick.
A) $ 100 B) $ 220 C) $ 280 D) $ 300 E) $ 360 | <gadget id="calculator">400 * 2</gadget>
<output>800</output>
<gadget id="calculator">800 / 5</gadget>
<output>160</output>
<gadget id="calculator">400 - 160</gadget>
<output>240</output>
<gadget id="calculator">20 * 3</gadget>
<output>60</output>
<gadget id="calculator">60 / 5</gadget>
<output>12</output>
<gadget id="calculator">20 - 12</gadget>
<output>8</output>
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">7 * 20</gadget>
<output>140</output>
<gadget id="calculator">240 - 140</gadget>
<output>100</output>
<result>A</result> | A | 100 | A prize of $400 is to be distributed among 20 winners, each of whom must be awarded at least $20. If 2/5 of the prize will be distributed to 3/5 of the winners, what is the greatest possible individual award? | {
"A": "$ 100",
"B": "$ 220",
"C": "$ 280",
"D": "$ 300",
"E": "$ 360"
} | subtract(subtract(400, divide(multiply(400, 2), 5)), multiply(subtract(subtract(20, divide(multiply(20, 3), 5)), const_1), 20)) | multiply(n0,n3)|multiply(n1,n5)|divide(#0,n4)|divide(#1,n4)|subtract(n0,#2)|subtract(n1,#3)|subtract(#5,const_1)|multiply(n1,#6)|subtract(#4,#7)| | "total value of the prize = $ 400 number of people = 20 2 / 5 of 400 ( = $ 160 ) should be distributed among 3 / 5 of 20 ( = 12 people ) with each getting $ 20 each . remaining money = 400 - 160 = $ 240 . now in order to ' maximize ' 1 prize , we need to minimise the others and we have been given that each should get $ 20 . thus , minimising the remaining 7 people ( = 20 - 12 - 1 . ' - 1 ' to exclude 1 that needs to be maximised ) = 7 * 20 = 140 . thus the maximum award can be = 240 - 140 = $ 100 , hence a is the correct answer ." | general |
math_qa__Fwz0Mu27pw8OkKcv | The average height of 35 boys in a class was calculated as 181cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).? Choices:
A) 178.27 cm B) 179.29 cm C) 978.29 cm D) 178.89 cm E) 176.29 cm | <gadget id="calculator">35 * 181</gadget>
<output>6_335</output>
<gadget id="calculator">6_335 - 166</gadget>
<output>6_169</output>
<gadget id="calculator">6_169 + 106</gadget>
<output>6_275</output>
<gadget id="calculator">6_275 / 35</gadget>
<output>1_255/7 = around 179.285714</output>
<gadget id="calculator">floor(1_255/7)</gadget>
<output>179</output>
<result>B</result> | B | 179.29 | The average height of 35 boys in a class was calculated as 181cm. It has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm. Find the actual average height of the boys in the class (Round off your answer to two decimal places).? | {
"A": "178.27 cm",
"B": "179.29 cm",
"C": "978.29 cm",
"D": "178.89 cm",
"E": "176.29 cm"
} | floor(divide(add(subtract(multiply(35, 181), 166), 106), 35)) | multiply(n0,n1)|subtract(#0,n2)|add(n3,#1)|divide(#2,n0)|floor(#3)| | "calculated average height of 35 boys = 181 cm . wrong total height of 35 boys = 181 * 35 cm . this was as a result of an actual height of 106 cm being wrongly written as 166 cm . correct total height of 35 boys = 181 cm - ( 166 cm - 106 cm ) / 35 = 181 cm - 60 / 35 cm = 181 cm - 1.71 cm = 179.29 cm . answer : b" | general |
math_qa__oYLQrOwobqJMMhKg | If 10 typists can type 20 letters in 20 minutes, then how many letters will 40 typists working at the same rate complete in 1 hour? Choose the correct answer: A) 220 B) 210 C) 200 D) 240 E) 260 | <gadget id="calculator">20 * 3</gadget>
<output>60</output>
<gadget id="calculator">60 / 10</gadget>
<output>6</output>
<gadget id="calculator">6 * 40</gadget>
<output>240</output>
<result>D</result> | D | 240 | If 10 typists can type 20 letters in 20 minutes, then how many letters will 40 typists working at the same rate complete in 1 hour? | {
"A": "220",
"B": "210",
"C": "200",
"D": "240",
"E": "260"
} | multiply(divide(multiply(20, const_3), 10), 40) | multiply(n1,const_3)|divide(#0,n0)|multiply(n3,#1)| | "no . of letters typing by 10 typists in 20 minutes = 20 no . of letters typing by 10 typists in 60 minutes = 20 * 3 = 60 no . of letters typing by 40 typists in 60 minutes = 60 / 10 * 40 = 240 answer : d" | physics |
math_qa__tMluLeHbpXkshMNS | John and Steve are speed walkers in a race. John is 16 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push? Choose the correct choice from the following options
A) 13 seconds B) 17 seconds C) 36 seconds D) 34 seconds E) 51 seconds | <gadget id="calculator">16 + 2</gadget>
<output>18</output>
<gadget id="calculator">3.7 * 18</gadget>
<output>66.6</output>
<gadget id="calculator">4.2 - 3.7</gadget>
<output>0.5</output>
<gadget id="calculator">66.6 / 0.5</gadget>
<output>133.2</output>
<gadget id="calculator">133.2 + 18</gadget>
<output>151.2</output>
<gadget id="calculator">151.2 / 4.2</gadget>
<output>36</output>
<result>C</result> | C | 36 | John and Steve are speed walkers in a race. John is 16 meters behind Steve when he begins his final push. John blazes to the finish at a pace of 4.2 m/s, while Steve maintains a blistering 3.7 m/s speed. If John finishes the race 2 meters ahead of Steve, how long was John’s final push? | {
"A": "13 seconds",
"B": "17 seconds",
"C": "36 seconds",
"D": "34 seconds",
"E": "51 seconds"
} | divide(add(divide(multiply(3.7, add(16, 2)), subtract(4.2, 3.7)), add(16, 2)), 4.2) | add(n0,n3)|subtract(n1,n2)|multiply(n2,#0)|divide(#2,#1)|add(#0,#3)|divide(#4,n1)| | "let t be the time that john spent for his final push . thus , per the question , 4.2 t = 3.7 t + 16 + 2 - - - > 0.5 t = 18 - - - > t = 36 seconds . c is the correct answer ." | physics |
math_qa__RgOD4sevN1qLWNEQ | A lady builds 9cm length, 12cm width, and 3cm height box using 3cubic cm cubes. What is the minimum number of cubes required to build the box? Choose one.
A) 107 B) 108 C) 109 D) 110 E) 111 | <gadget id="calculator">9 * 12</gadget>
<output>108</output>
<gadget id="calculator">108 * 3</gadget>
<output>324</output>
<gadget id="calculator">324 / 3</gadget>
<output>108</output>
<result>B</result> | B | 108 | A lady builds 9cm length, 12cm width, and 3cm height box using 3cubic cm cubes. What is the minimum number of cubes required to build the box? | {
"A": "107",
"B": "108",
"C": "109",
"D": "110",
"E": "111"
} | divide(multiply(multiply(9, 12), 3), 3) | multiply(n0,n1)|multiply(n2,#0)|divide(#1,n3)| | "number of cubes required = volume of box / volume of cube = 9 * 12 * 3 / 3 = 108 cubes answer : b" | geometry |
math_qa__LOMnpd8FdpW62FiM | Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how many miles can Dan’s car go on $58 of gas? Answers:
A) 242 B) 353 C) 464 D) 575 E) 686 | <gadget id="calculator">58 * 32</gadget>
<output>1_856</output>
<gadget id="calculator">1_856 / 4</gadget>
<output>464</output>
<result>C</result> | C | 464 | Dan’s car gets 32 miles per gallon. If gas costs $4/gallon, then how many miles can Dan’s car go on $58 of gas? | {
"A": "242",
"B": "353",
"C": "464",
"D": "575",
"E": "686"
} | divide(multiply(58, 32), 4) | multiply(n0,n2)|divide(#0,n1)| | "58 / 4 = 14.5 gallons 14.5 * 32 = 464 miles the answer is c ." | physics |
math_qa__XyHG83QBQbwlVnmx | .3+33+333+33.3=?
Choose the correct choice from the following options.
A) 362.33
B) 399.6
C) 702.33
D) 702
E) none of them | <gadget id="calculator">33 + 333</gadget>
<output>366</output>
<gadget id="calculator">366 + 33.3</gadget>
<output>399.3</output>
<gadget id="calculator">3 / 10</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">399.3 + (3/10)</gadget>
<output>399.6</output>
<result>B</result> | B | 399.6 | .3+33+333+33.3=? | {
"A": "362.33",
"B": "399.6",
"C": "702.33",
"D": "702",
"E": "none of them"
} | add(add(add(33, 333), 33.3), divide(3, const_10)) | add(n1,n2)|divide(n0,const_10)|add(n3,#0)|add(#2,#1)| | ". 3 33 333 33.3 - - - - - - - - - - 399.6 - - - - - - - - - - answer is b" | general |
math_qa__S12miUzyxlFNzAsU | If a certain number X is divided by 82, the reminder is 5. what is the reminder when X+17 is divided by 41?
Choose one.
A) 3
B) 5
C) 6
D) 22
E) 18 | <gadget id="calculator">5 + 17</gadget>
<output>22</output>
<result>D</result> | D | 22 | If a certain number X is divided by 82, the reminder is 5. what is the reminder when X+17 is divided by 41? | {
"A": "3",
"B": "5",
"C": "6",
"D": "22",
"E": "18"
} | add(5, 17) | add(n1,n2)| | "x can be written as 82 k + 5 or x = 5 , 87,169 , etc . x + 17 = 82 k + 5 + 17 = 82 k + 22 or x + 17 = 22,104 , 186 etc . when divided by 41 , we will get the remainder 22 . d" | general |
math_qa__8lrBFMwygU1FYHbm | At a certain fruit stand, the price of each apple is 40 cents and the price of each orange is 60 cents. Mary selects a total of 15 apples and oranges from the fruit stand, and the average (arithmetic mean) price of the 15 pieces of fruit is 48 cents. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is 45 cents? Choose the correct choice from the following answers:
A) 1
B) 2
C) 3
D) 8
E) 9 | <gadget id="calculator">48 * 15</gadget>
<output>720</output>
<gadget id="calculator">45 * 15</gadget>
<output>675</output>
<gadget id="calculator">720 - 675</gadget>
<output>45</output>
<gadget id="calculator">60 - 45</gadget>
<output>15</output>
<gadget id="calculator">45 / 15</gadget>
<output>3</output>
<result>C</result> | C | 3 | At a certain fruit stand, the price of each apple is 40 cents and the price of each orange is 60 cents. Mary selects a total of 15 apples and oranges from the fruit stand, and the average (arithmetic mean) price of the 15 pieces of fruit is 48 cents. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is 45 cents? | {
"A": "1",
"B": "2",
"C": "3",
"D": "8",
"E": "9"
} | divide(subtract(multiply(48, 15), multiply(45, 15)), subtract(60, 45)) | multiply(n2,n4)|multiply(n2,n5)|subtract(n1,n5)|subtract(#0,#1)|divide(#3,#2) | let number of apples = a number of oranges = b a + b = 15 - - - 1 . 48 = ( . 4 a + . 6 b ) / 15 = > 48 = 4 a + 6 b - - - - 2 solving 1 and 2 , we get a = 9 b = 6 let the number of oranges put back = c 45 * ( 15 - c ) = 40 * 9 + 60 ( 6 - c ) = > c = 3 answer c | general |
math_qa__nTKfwRTlCNX1Yrwz | On the Richter scale, which measures the total amount of energy released during an earthquake, a reading of x-1 indicates one-tenth the released energy as is indicated by a reading of x. On that scale, the frequency corresponding to a reading of 5 is how many times as great as the frequency corresponding to a reading of 3? Choices.
A) 100
B) 200
C) 10 ^ 4
D) 10 ^ 5
E) 10 ^ 6 | <gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">10 ** 2</gadget>
<output>100</output>
<result>A</result> | A | 100 | On the Richter scale, which measures the total amount of energy released during an earthquake, a reading of x-1 indicates one-tenth the released energy as is indicated by a reading of x. On that scale, the frequency corresponding to a reading of 5 is how many times as great as the frequency corresponding to a reading of 3? | {
"A": "100",
"B": "200",
"C": "10 ^ 4",
"D": "10 ^ 5",
"E": "10 ^ 6"
} | power(const_10, subtract(5, 3)) | subtract(n1,n2)|power(const_10,#0) | if richter scale reading goes from x - 1 to x it will be 10 if richter scale reading goes from 3 to 4 it will be 10 if richter scale reading goes from 4 to 5 it will be 10 so it will from 3 to 5 i . e 4,5 = 10 * 10 = 10 ^ 2 answer is a | general |
math_qa__eqhv5CzBJBo5dcZ2 | 115 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4?
Choose the correct choice from the following answers.
A) 12 liters B) 32 liters C) 46 liters D) 50 liters E) 34 liters | <gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">115 / 5</gadget>
<output>23</output>
<gadget id="calculator">23 * 2</gadget>
<output>46</output>
<result>C</result> | C | 46 | 115 liters of a mixture of milk and water contains in the ratio 3:2. How much water should now be added so that the ratio of milk and water becomes 3:4? | {
"A": "12 liters",
"B": "32 liters",
"C": "46 liters",
"D": "50 liters",
"E": "34 liters"
} | multiply(divide(115, add(3, 2)), 2) | add(n1,n2)|divide(n0,#0)|multiply(n2,#1)| | "milk = 3 / 5 * 115 = 69 liters water = 46 liters 69 : ( 46 + p ) = 3 : 4 138 + 3 p = 276 = > p = 46 46 liters of water are to be added for the ratio become 3 : 4 . answer : c" | general |
math_qa__6BRf65ewXqtBa9en | 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 Rs.1406? Answers:
A) s . 109
B) s . 108
C) s . 100
D) s . 95
E) s . 102 | <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_406 / 74</gadget>
<output>19</output>
<gadget id="calculator">5 * 19</gadget>
<output>95</output>
<result>D</result> | D | 95 | 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 Rs.1406? | {
"A": "s . 109",
"B": "s . 108",
"C": "s . 100",
"D": "s . 95",
"E": "s . 102"
} | multiply(5, divide(1406, 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)| | "3 x 4 x 5 x 6 9 4 18 x + 36 x + 20 x = 1406 74 x = 1406 = > x = 19 5 x = 95 rs . answer : d" | physics |
math_qa__DYnafISU3FDiNylJ | If P(A) = 4/7 and P (B) = 2/5, find P (A n B) if A and B are independent events. Choose the correct choice: A) 7 / 25 B) 3 / 25 C) 8 / 35 D) 2 / 13 E) 3 / 17 | <gadget id="calculator">4 / 7</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(4/7) * (2/5)</gadget>
<output>8/35 = around 0.228571</output>
<result>C</result> | C | 0.228571 | If P(A) = 4/7 and P (B) = 2/5, find P (A n B) if A and B are independent events. | {
"A": "7 / 25",
"B": "3 / 25",
"C": "8 / 35",
"D": "2 / 13",
"E": "3 / 17"
} | multiply(divide(4, 7), divide(2, 5)) | divide(n0,n1)|divide(n2,n3)|multiply(#0,#1) | p ( a n b ) = p ( a ) . p ( b ) p ( a n b ) = 4 / 7 . 2 / 5 p ( a n b ) = 8 / 35 . c | general |
math_qa__pf0zRTJffNqx9vos | Bottle R contains 250 capsules and costs $6.25. Bottle T contains 100 capsules and costs $3.0. What is the difference between the cost per capsule for bottle R and the cost per capsule for bottle T? Choose the correct choice from the following options.
A) $ 0.25 B) $ 0.12 C) $ 0.05 D) $ 0.003 E) $ 0.005 | <gadget id="calculator">3 / 100</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">6.25 / 250</gadget>
<output>0.025</output>
<gadget id="calculator">(3/100) - 0.025</gadget>
<output>0.005</output>
<result>E</result> | E | 0.005 | Bottle R contains 250 capsules and costs $6.25. Bottle T contains 100 capsules and costs $3.0. What is the difference between the cost per capsule for bottle R and the cost per capsule for bottle T? | {
"A": "$ 0.25",
"B": "$ 0.12",
"C": "$ 0.05",
"D": "$ 0.003",
"E": "$ 0.005"
} | subtract(divide(3.0, 100), divide(6.25, 250)) | divide(n3,n2)|divide(n1,n0)|subtract(#0,#1)| | "cost per capsule in r is 6.25 / 250 = 0.625 / 25 = 0.025 cost per capsule in t is 3.00 / 100 = 0.03 the difference is 0.005 the answer is e" | general |
math_qa__uU00mOKlMNfjRRRf | For what value of “k” will the equation (2kx2 + 5kx+2)=0 have equal roots?
Answers: A) 2 / 7 B) 9 / 4 C) 16 / 25 D) 7 / 1 E) 7 / 2 | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">8 * 2</gadget>
<output>16</output>
<gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">16 / 25</gadget>
<output>16/25 = around 0.64</output>
<result>C</result> | C | 0.64 | For what value of “k” will the equation (2kx2 + 5kx+2)=0 have equal roots? | {
"A": "2 / 7",
"B": "9 / 4",
"C": "16 / 25",
"D": "7 / 1",
"E": "7 / 2"
} | divide(multiply(multiply(multiply(2, 2), 2), 2), multiply(5, 5)) | multiply(n0,n0)|multiply(n2,n2)|multiply(n0,#0)|multiply(n0,#2)|divide(#3,#1) | for a 2 nd degree equation ax 2 + bx _ c = 0 has equal roots the condition is b 2 - 4 ac = 0 in the given equation ( 5 k ) ^ 2 - 4 * 2 k * 2 = 0 by solving this equation we get k = 0 , k = 16 / 25 answer : c | general |
math_qa__MSZvWT8urxQnoaS9 | The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams W? Choose the correct choice from the following answers.
A) w = 16 B) w = 32 C) 64 D) 128 E) 512 | <gadget id="calculator">8 * 4</gadget>
<output>32</output>
<result>B</result> | B | 32 | The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4π·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many grams W? | {
"A": "w = 16",
"B": "w = 32",
"C": "64",
"D": "128",
"E": "512"
} | multiply(8, 4) | multiply(n0,n3)| | "weight directly proportional to 4 pi r ^ 2 now , 4 pi is constant , so , weight is directly proportional to r ^ 2 . when radius = 0.15 , weight = 8 , so ( 0.15 ) ^ 2 proportional to 8 ; ( 0.15 ) ^ 2 * 4 proportional to 8 * 4 , solving further ( 0.15 ) ^ 2 * 2 ^ 2 = ( 0.15 * 2 ) ^ 2 = 0.3 ^ 2 ; so answer = 32 ( b )" | geometry |
math_qa__h18tqTLXi9SIgUS7 | It takes 30 days to fill a laboratory dish with bacteria. If the size of the bacteria doubles each day, how long did it take for the bacteria to fill one sixteenth of the dish? Select: A) 16 days B) 26 days C) 27 days D) 28 days E) 29 days | <gadget id="calculator">30 - 4</gadget>
<output>26</output>
<result>B</result> | B | 26 | It takes 30 days to fill a laboratory dish with bacteria. If the size of the bacteria doubles each day, how long did it take for the bacteria to fill one sixteenth of the dish? | {
"A": "16 days",
"B": "26 days",
"C": "27 days",
"D": "28 days",
"E": "29 days"
} | subtract(30, const_4) | subtract(n0,const_4) | the bacteria doubles each day , so after 29 days , the dish was half full . after 28 days , the dish was one quarter full . after 27 days , the dish was one eighth full . after 26 days , the dish was one sixteenth full . the answer is b . | general |
math_qa__codeuvKsevP48KVx | Some persons can do a piece of work in 8 days. Two times the number of these people will do half of that work in? Choose the correct answer.
A) 2 B) 4 C) 5 D) 6 E) 8 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">8 * (1/2)</gadget>
<output>4</output>
<gadget id="calculator">4 * (1/2)</gadget>
<output>2</output>
<result>A</result> | A | 2 | Some persons can do a piece of work in 8 days. Two times the number of these people will do half of that work in? | {
"A": "2",
"B": "4",
"C": "5",
"D": "6",
"E": "8"
} | multiply(multiply(8, divide(const_1, const_2)), divide(const_1, const_2)) | divide(const_1,const_2)|multiply(n0,#0)|multiply(#0,#1)| | "8 / ( 2 * 2 ) = 2 days answer : a" | physics |
math_qa__4suq6Pv3xHsHLvfX | Rectangular tile each of size 35cm by 30cm must be laid horizontally on a rectangular floor of size 1000cm by 210cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is: Choose the correct choice from the following answers.
A) 600
B) 400
C) 200
D) 500
E) 100 | <gadget id="calculator">1_000 * 210</gadget>
<output>210_000</output>
<gadget id="calculator">35 * 30</gadget>
<output>1_050</output>
<gadget id="calculator">210_000 / 1_050</gadget>
<output>200</output>
<result>C</result> | C | 200 | Rectangular tile each of size 35cm by 30cm must be laid horizontally on a rectangular floor of size 1000cm by 210cm,such that the tiles do not overlap and they are placed with edges jutting against each other on all edges. A tile can be placed in any orientation so long as its edges are parallel to the edges of floor. No tile should overshoot any edge of the floor. The maximum number of tiles that can be accommodated on the floor is: | {
"A": "600",
"B": "400",
"C": "200",
"D": "500",
"E": "100"
} | divide(multiply(1000, 210), multiply(35, 30)) | multiply(n2,n3)|multiply(n0,n1)|divide(#0,#1) | area of tile = 35 * 30 = 1050 area of floor = 1000 * 210 = 210000 no of tiles = 210000 / 1050 = 200 so , the no of tile = 200 answer : c | geometry |
math_qa__SQDiMgvC99B5RyYJ | If a certain toy store's revenue in November was 3/5 of its revenue in December and its revenue in January was 1/6 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January? Choose the correct choice from the following choices:
A) 3 / 2 B) 5 / 4 C) 10 / 3 D) 20 / 7 E) 25 / 9 | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(3/5) * (1/6)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(3/5) + (1/10)</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">(7/10) / 2</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">1 / (7/20)</gadget>
<output>20/7 = around 2.857143</output>
<result>D</result> | D | 2.857143 | If a certain toy store's revenue in November was 3/5 of its revenue in December and its revenue in January was 1/6 of its revenue in November, then the store's revenue in December was how many times the average (arithmetic mean) of its revenues in November and January? | {
"A": "3 / 2",
"B": "5 / 4",
"C": "10 / 3",
"D": "20 / 7",
"E": "25 / 9"
} | divide(const_1, divide(add(divide(3, 5), multiply(divide(3, 5), divide(1, 6))), const_2)) | divide(n0,n1)|divide(n2,n3)|multiply(#0,#1)|add(#0,#2)|divide(#3,const_2)|divide(const_1,#4) | n = 3 d / 5 j = n / 6 = d / 10 the average of november and january is ( n + j ) / 2 = 7 d / 10 / 2 = 7 d / 20 d is 20 / 7 times the average of november and january . the answer is d . | general |
math_qa__fmvsZKccp1MnStY1 | Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 462? Choose the correct choice from the following options:
A) 25.6 % B) 21 % C) 20 % D) 19 % E) none of these | <gadget id="calculator">100 + 15</gadget>
<output>115</output>
<gadget id="calculator">115 / 100</gadget>
<output>23/20 = around 1.15</output>
<gadget id="calculator">540 * (23/20)</gadget>
<output>621</output>
<gadget id="calculator">621 - 462</gadget>
<output>159</output>
<gadget id="calculator">159 * 100</gadget>
<output>15_900</output>
<gadget id="calculator">15_900 / 621</gadget>
<output>5_300/207 = around 25.603865</output>
<result>A</result> | A | 25.6 | Mahesh marks an article 15% above the cost price of Rs. 540. What must be his discount percentage if he sells it at Rs. 462? | {
"A": "25.6 %",
"B": "21 %",
"C": "20 %",
"D": "19 %",
"E": "none of these"
} | divide(multiply(subtract(multiply(540, divide(add(const_100, 15), const_100)), 462), const_100), multiply(540, divide(add(const_100, 15), const_100))) | add(n0,const_100)|divide(#0,const_100)|multiply(n1,#1)|subtract(#2,n2)|multiply(#3,const_100)|divide(#4,#2)| | "cp = rs . 540 , mp = 540 + 15 % of 540 = rs . 621 sp = rs . 462 , discount = 621 - 462 = 159 discount % = 159 / 621 * 100 = 25.6 % answer : a" | gain |
math_qa__mQcl8Kz2m4gF4Pp1 | The cost price of an book is 64% of the marked price. Calculate the gain percent after allowing a discount of 16%? Select the correct option: A) 31.25 % B) 35.5 % C) 37.5 % D) 39.5 % E) 30.5 % | <gadget id="calculator">100 / 64</gadget>
<output>25/16 = around 1.5625</output>
<gadget id="calculator">100 - 16</gadget>
<output>84</output>
<gadget id="calculator">84 / 100</gadget>
<output>21/25 = around 0.84</output>
<gadget id="calculator">(25/16) * (21/25)</gadget>
<output>21/16 = around 1.3125</output>
<gadget id="calculator">(21/16) - 1</gadget>
<output>5/16 = around 0.3125</output>
<gadget id="calculator">(5/16) * 100</gadget>
<output>125/4 = around 31.25</output>
<result>A</result> | A | 31.25 | The cost price of an book is 64% of the marked price. Calculate the gain percent after allowing a discount of 16%? | {
"A": "31.25 %",
"B": "35.5 %",
"C": "37.5 %",
"D": "39.5 %",
"E": "30.5 %"
} | multiply(subtract(multiply(divide(const_100, 64), divide(subtract(const_100, 16), const_100)), const_1), const_100) | divide(const_100,n0)|subtract(const_100,n1)|divide(#1,const_100)|multiply(#0,#2)|subtract(#3,const_1)|multiply(#4,const_100)| | "let marked price = $ 100 . then , c . p . = $ 64 , s . p . = $ 84 gain % = 20 / 64 * 100 = 31.25 % . a" | gain |
math_qa__DUYFymNpXgy2NlLZ | The greatest number which on dividing 1557 and 2037 leaves remainders 7 and 5 respectively, is: Choose the most appropriate option
A) 123 B) 127 C) 2 D) 305 E) 505 | <gadget id="calculator">2_037 - 5</gadget>
<output>2_032</output>
<gadget id="calculator">1_557 - 7</gadget>
<output>1_550</output>
<gadget id="calculator">gcd(2_032, 1_550)</gadget>
<output>2</output>
<result>C</result> | C | 2 | The greatest number which on dividing 1557 and 2037 leaves remainders 7 and 5 respectively, is: | {
"A": "123",
"B": "127",
"C": "2",
"D": "305",
"E": "505"
} | gcd(subtract(2037, 5), subtract(1557, 7)) | subtract(n1,n3)|subtract(n0,n2)|gcd(#0,#1)| | "explanation : required number = h . c . f . of ( 1557 - 7 ) and ( 2037 - 5 ) = h . c . f . of 1550 and 2032 = 2 . answer : c" | general |
math_qa__7JsBmKb3zezzEBMP | There is a right angle triangle inside a circle of diameter 18cm. Inside this triangle ,there is another circle of diameter 6 cm. Find the perimeter of the triangle.
Choose the correct choice from the following choices:
A) 24 cm B) 36 * 2 ^ 1 / 2 cm C) 36 cm D) 54 cm E) 42 cm | <gadget id="calculator">18 + 6</gadget>
<output>24</output>
<gadget id="calculator">18 + 24</gadget>
<output>42</output>
<result>E</result> | E | 42 | There is a right angle triangle inside a circle of diameter 18cm. Inside this triangle ,there is another circle of diameter 6 cm. Find the perimeter of the triangle. | {
"A": "24 cm",
"B": "36 * 2 ^ 1 / 2 cm",
"C": "36 cm",
"D": "54 cm",
"E": "42 cm"
} | add(18, add(18, 6)) | add(n0,n1)|add(n0,#0) | 1 ) the radius of the incircle of a right triangle with legs a and b and hypotenuse c is r = ( a + b - c ) / 2 2 ) the radius of the circumcircle is half the length of the hypotenuse r = c / 2 3 ) thus the sum of the circumradius and the inradius is half the sum of the legs r + r = ( a + b ) / 2 from 2 nd rule c = 18 cm from 3 rd rule a + b = 2 * ( 9 + 3 ) = 24 cm hence perimeter a + b + c = 24 + 18 = 42 cm answer : e | geometry |
math_qa__Q7PFFosPW9EBNIBc | 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 14%? Choose the most appropriate option:
A) 20 %
B) 29 %
C) 13 1 / 30 %
D) 12 %
E) 13 % | <gadget id="calculator">100 - 14</gadget>
<output>86</output>
<gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">86 / (2/3)</gadget>
<output>129</output>
<gadget id="calculator">129 - 100</gadget>
<output>29</output>
<result>B</result> | B | 29 | 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 14%? | {
"A": "20 %",
"B": "29 %",
"C": "13 1 / 30 %",
"D": "12 %",
"E": "13 %"
} | subtract(divide(subtract(const_100, 14), 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 = 86 2 / 3 sp 1 = 86 sp 1 = 129 100 - - - 29 = > 29 % answer : b" | gain |
math_qa__nshGq7gxShYlWjgo | P and Q can complete a work in 10 days and 6 days respectively. P alone started the work and Q joined him after 2 days till the completion of the work. How long did the work last? Choose the correct choice from the following choices:
A) 5 days
B) 10 days
C) 14 days
D) 22 days
E) 26 days | <gadget id="calculator">2 / 10</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">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/10) + (1/6)</gadget>
<output>4/15 = around 0.266667</output>
<gadget id="calculator">(4/5) / (4/15)</gadget>
<output>3</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<result>A</result> | A | 5 | P and Q can complete a work in 10 days and 6 days respectively. P alone started the work and Q joined him after 2 days till the completion of the work. How long did the work last? | {
"A": "5 days",
"B": "10 days",
"C": "14 days",
"D": "22 days",
"E": "26 days"
} | add(2, divide(subtract(const_1, divide(2, 10)), add(inverse(10), inverse(6)))) | divide(n2,n0)|inverse(n0)|inverse(n1)|add(#1,#2)|subtract(const_1,#0)|divide(#4,#3)|add(n2,#5)| | "explanation : work done by p in 1 day = 1 / 10 work done by q in 1 day = 1 / 6 work done by p in 2 days = 2 ã — ( 1 / 10 ) = 1 / 5 remaining work = 1 â € “ 1 / 5 = 4 / 5 work done by p and q in 1 day = 1 / 10 + 1 / 6 = 4 / 15 number of days p and q take to complete the remaining work = ( 4 / 5 ) / ( 4 / 15 ) = 3 total days = 2 + 3 = 5 answer : option a" | physics |
math_qa__yvqHvoSv2DN9KOQx | David is 18 years older than his daughter Rosy. In 6 years David will be twice as old as Rosy. What is Rosy current age. Choose the correct choice from the following
A) 12 B) 14 C) 18 D) 24 E) 23 | <gadget id="calculator">18 + 6</gadget>
<output>24</output>
<gadget id="calculator">2 * 6</gadget>
<output>12</output>
<gadget id="calculator">24 - 12</gadget>
<output>12</output>
<result>A</result> | A | 12 | David is 18 years older than his daughter Rosy. In 6 years David will be twice as old as Rosy. What is Rosy current age. | {
"A": "12",
"B": "14",
"C": "18",
"D": "24",
"E": "23"
} | subtract(add(18, 6), multiply(const_2, 6)) | add(n0,n1)|multiply(n1,const_2)|subtract(#0,#1) | now : rosy = x , david = x + 18 in 6 years rosy = x + 6 , david = x + 18 + 6 or 2 ( x + 6 ) x + 24 = 2 x + 12 x = 12 rosy is 12 years old answer : a | general |
math_qa__0zarzeZpgTYyZxHF | You collect pens. Suppose you start out with 20. Mike gives you another 22 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 19 pens. How many pens do you have at the end? Answers.
A) 39 B) 40 C) 65 D) 42 E) 43 | <gadget id="calculator">22 + 20</gadget>
<output>42</output>
<gadget id="calculator">42 * 2</gadget>
<output>84</output>
<gadget id="calculator">84 - 19</gadget>
<output>65</output>
<result>C</result> | C | 65 | You collect pens. Suppose you start out with 20. Mike gives you another 22 pens. Since her father makes pens, Cindy decides to double your pens. Since you're nice, you give Sharon 19 pens. How many pens do you have at the end? | {
"A": "39",
"B": "40",
"C": "65",
"D": "42",
"E": "43"
} | subtract(multiply(add(22, 20), const_2), 19) | add(n0,n1)|multiply(#0,const_2)|subtract(#1,n2) | solution start with 20 pens . mike gives you 22 pens : 20 + 22 = 42 pens . cindy doubles the number of pens you have : 42 ã — 2 = 84 pens . sharon takes 19 pens from you : 84 - 19 = 65 pens . so you have 65 at the end . correct answer : c | general |
math_qa__LHY6okbXHNK7IubS | the sum of the 1 st and 3 rd of 3 consecutive odd integers is 131 less than 3 times the second integer . find the 3 integers ? Answers:
A) 121 B) 133 C) 145 D) 150 E) 165 | <gadget id="calculator">131 - 3</gadget>
<output>128</output>
<gadget id="calculator">3 + 3</gadget>
<output>6</output>
<gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">128 + 5</gadget>
<output>133</output>
<result>B</result> | B | 133 | the sum of the 1 st and 3 rd of 3 consecutive odd integers is 131 less than 3 times the second integer . find the 3 integers ? | {
"A": "121",
"B": "133",
"C": "145",
"D": "150",
"E": "165"
} | add(subtract(131, 3), subtract(add(3, 3), 1)) | add(n1,n1)|subtract(n3,n1)|subtract(#0,n0)|add(#1,#2) | let x , x + 2 and x + 4 be three integers . the sum of the first x and third x + 4 is given by x + ( x + 4 ) 131 less than three times the second 3 ( x + 2 ) is given by 3 ( x + 2 ) - 131 ` ` the sum of the first and third is 131 less than three times the second ' ' gives x + ( x + 4 ) = 3 ( x + 2 ) - 131 solve for x and find all three numbers x = 129 , x + 2 = 131 , x + 4 = 133 as an exercise , check that the sum of the first and third is 131 less than three times b | general |
math_qa__wZ9KecK145DoQ6BM | a local business made a $ 125000 profit on its first $ 1 million in sales and a $ 80000 profit on its next $ 2 million in sales . by approximately what percent did the ratio of profit to sales decrease from the first $ 1 million in sales to the next $ 2 million in sales ? Pick one
A) 100 % B) 150 % C) 200 % D) 250 % E) 300 % | <gadget id="calculator">125_000 / 100</gadget>
<output>1_250</output>
<gadget id="calculator">1_250 - 1_000</gadget>
<output>250</output>
<gadget id="calculator">4 * 10</gadget>
<output>40</output>
<gadget id="calculator">40 + 10</gadget>
<output>50</output>
<gadget id="calculator">250 - 50</gadget>
<output>200</output>
<result>C</result> | C | 200 | a local business made a $ 125000 profit on its first $ 1 million in sales and a $ 80000 profit on its next $ 2 million in sales . by approximately what percent did the ratio of profit to sales decrease from the first $ 1 million in sales to the next $ 2 million in sales ? | {
"A": "100 %",
"B": "150 %",
"C": "200 %",
"D": "250 %",
"E": "300 %"
} | subtract(subtract(divide(125000, const_100), const_1000), add(multiply(const_4, const_10), const_10)) | divide(n0,const_100)|multiply(const_10,const_4)|add(#1,const_10)|subtract(#0,const_1000)|subtract(#3,#2) | solution : this is a percent decrease problem . we will use the formula : percent change = ( new – old ) / old x 100 to calculate the final answer . we first set up the ratios of profits to sales . the first ratio will be for the first 1 million in sales , and the second ratio will be for the next 2 million in sales . because all of the sales are in millions , we do not have to express all the trailing zeros in our ratios . first 1 million profit / sales = 125 / 1000 = 1 / 8 next 2 million profit / sales = 8 / 200 = 2 / 50 we can simplify each ratio by multiplying each by the lcm of the two denominators , which is 400 . keep in mind that we are able to do this only because our answer choices are expressed in percents . first 1 million royalties / sales = ( 1 / 8 ) x 400 = 50 next 2 million royalties / sales = ( 2 / 50 ) x 400 = 16 we can plug 5 and 6 into our percent change formula : ( new – old ) / old x 100 [ ( 16 – 50 ) / 16 ] x 100 = - 34 / 16 x 100 so approximately a 200 % decrease . answer c . | gain |
math_qa__m3nOrw9BiD2O1LND | For a certain exam,a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean.What was the mean score T for the exam?
Answers:
A) 74
B) 76
C) 78
D) 80
E) 82 | <gadget id="calculator">58 * 3</gadget>
<output>174</output>
<gadget id="calculator">98 * 2</gadget>
<output>196</output>
<gadget id="calculator">174 + 196</gadget>
<output>370</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">370 / 5</gadget>
<output>74</output>
<result>A</result> | A | 74 | For a certain exam,a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean.What was the mean score T for the exam? | {
"A": "74",
"B": "76",
"C": "78",
"D": "80",
"E": "82"
} | divide(add(multiply(58, 3), multiply(98, 2)), add(2, 3)) | add(n1,n3)|multiply(n0,n3)|multiply(n1,n2)|add(#1,#2)|divide(#3,#0)| | "a score of 58 was 2 standard deviations below the mean - - > 58 = mean - 2 d a score of 98 was 3 standard deviations above the mean - - > 98 = mean + 3 d solving above for mean t = 74 . answer : a ." | general |
math_qa__ZH178oEbpNizJt2W | √5 percent of 5√5 = Answers.
A) 0.05 B) 0.25 C) 0.5 D) 2.5 E) 25 | <gadget id="calculator">5 ** (1/2)</gadget>
<output>sqrt(5) = around 2.236068</output>
<gadget id="calculator">(sqrt(5)) * (sqrt(5))</gadget>
<output>5</output>
<gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<result>B</result> | B | 0.25 | √5 percent of 5√5 = | {
"A": "0.05",
"B": "0.25",
"C": "0.5",
"D": "2.5",
"E": "25"
} | divide(multiply(multiply(sqrt(5), sqrt(5)), 5), const_100) | sqrt(n0)|multiply(#0,#0)|multiply(n0,#1)|divide(#2,const_100)| | "√ / 1005 / 100 * 55 √ 5 = ( 5 * 5 ∗ 5 − − √ 5 ∗ 5 ) / 100 = ( 5 * 5 ) / 100 = 25 / 100 = . 25 answer : b" | gain |
math_qa__SLs7Z5wxRggks2vV | How many numbers from 10 to 31 are exactly divisible by 3? Choose the correct choice from the following choices:
A) 13 B) 15 C) 16 D) 7 E) 18 | <gadget id="calculator">31 / 3</gadget>
<output>31/3 = around 10.333333</output>
<gadget id="calculator">floor(31/3)</gadget>
<output>10</output>
<gadget id="calculator">10 * 3</gadget>
<output>30</output>
<gadget id="calculator">10 / 3</gadget>
<output>10/3 = around 3.333333</output>
<gadget id="calculator">floor(10/3)</gadget>
<output>3</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">4 * 3</gadget>
<output>12</output>
<gadget id="calculator">30 - 12</gadget>
<output>18</output>
<gadget id="calculator">18 / 3</gadget>
<output>6</output>
<gadget id="calculator">6 + 1</gadget>
<output>7</output>
<result>D</result> | D | 7 | How many numbers from 10 to 31 are exactly divisible by 3? | {
"A": "13",
"B": "15",
"C": "16",
"D": "7",
"E": "18"
} | add(divide(subtract(multiply(floor(divide(31, 3)), 3), multiply(add(floor(divide(10, 3)), const_1), 3)), 3), const_1) | divide(n1,n2)|divide(n0,n2)|floor(#0)|floor(#1)|add(#3,const_1)|multiply(n2,#2)|multiply(n2,#4)|subtract(#5,#6)|divide(#7,n2)|add(#8,const_1)| | "12 , 15 , 18 , 21 , 24 , 27 , 30 . 7 numbers . 10 / 3 = 3 and 31 / 3 = 10 = = > 10 - 3 = 7 . therefore 7 digits d )" | general |
math_qa__zC7HeEuOiMJxXeY3 | The average (arithmetic mean) of 20, 40, and 60 is 4 more than the average of 10, 70, and what number? Options.
A) 28 B) 25 C) 35 D) 45 E) 55 | <gadget id="calculator">20 + 40</gadget>
<output>60</output>
<gadget id="calculator">60 + 60</gadget>
<output>120</output>
<gadget id="calculator">4 * 3</gadget>
<output>12</output>
<gadget id="calculator">12 + 10</gadget>
<output>22</output>
<gadget id="calculator">22 + 70</gadget>
<output>92</output>
<gadget id="calculator">120 - 92</gadget>
<output>28</output>
<result>A</result> | A | 28 | The average (arithmetic mean) of 20, 40, and 60 is 4 more than the average of 10, 70, and what number? | {
"A": "28",
"B": "25",
"C": "35",
"D": "45",
"E": "55"
} | subtract(add(add(20, 40), 60), add(add(multiply(4, const_3), 10), 70)) | add(n0,n1)|multiply(n3,const_3)|add(n2,#0)|add(n4,#1)|add(n5,#3)|subtract(#2,#4)| | "a 1 = 120 / 3 = 40 a 2 = a 1 - 4 = 36 sum of second list = 36 * 3 = 108 therefore the number = 108 - 80 = 28 answer : a" | general |
math_qa__QHrptjVnh96gg44t | An agent, gets a commission of 5% on the sales of cloth. If on a certain day, he gets Rs. 12.50 as commission, the cloth sold through him on that day is worth Choose the correct choice.
A) 333 B) 500 C) 887 D) 250 E) 132 | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">12.5 / (1/20)</gadget>
<output>250</output>
<result>D</result> | D | 250 | An agent, gets a commission of 5% on the sales of cloth. If on a certain day, he gets Rs. 12.50 as commission, the cloth sold through him on that day is worth | {
"A": "333",
"B": "500",
"C": "887",
"D": "250",
"E": "132"
} | divide(12.50, divide(5, const_100)) | divide(n0,const_100)|divide(n1,#0)| | "explanation : let the total sale be rs . x . then , 5 % . of x = 12.50 < = > ( 5 / 100 * x ) = 125 / 10 < = > x = 250 . answer : d" | gain |
math_qa__VehZ5Oy1w3DXlozU | 121 x 5^4 = ? Choose the correct choice from the following choices
A) 75625
B) 68225
C) 72325
D) 71225
E) 72225 | <gadget id="calculator">5 ** 4</gadget>
<output>625</output>
<gadget id="calculator">121 * 625</gadget>
<output>75_625</output>
<result>A</result> | A | 75,625 | 121 x 5^4 = ? | {
"A": "75625",
"B": "68225",
"C": "72325",
"D": "71225",
"E": "72225"
} | multiply(121, power(5, 4)) | power(n1,n2)|multiply(n0,#0) | explanation : 121 × 5 ^ 4 = 121 × ( 10 / 2 ) ^ 4 = ( 121 × 10000 ) / 16 = 7.5625 × 10000 = 75625 answer is a | general |
math_qa__DWKbJb63HFbXQ8EO | the number n is h , 284 , where h represents the 10 ' s digit . if n is divisible by 6 , what is the value of h ?
Pick one
A) 1
B) 2
C) 3
D) 5
E) 8 | <gadget id="calculator">6 * 10</gadget>
<output>60</output>
<gadget id="calculator">60 / 60</gadget>
<output>1</output>
<result>A</result> | A | 1 | the number n is h , 284 , where h represents the 10 ' s digit . if n is divisible by 6 , what is the value of h ? | {
"A": "1",
"B": "2",
"C": "3",
"D": "5",
"E": "8"
} | divide(multiply(6, 10), multiply(6, 10)) | multiply(n1,n2)|divide(#0,#0) | if the number is divisible by 6 , then the sum of the digits must also be divisible by both 3 and 2 . only 1 yields such a number . answer : a | general |
math_qa__rhD1OCul7zMG2Eel | A 360 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train? Choose the correct choice from the following options: A) 220 meter B) 225 meter C) 140 meter D) 235 meter E) none of these | <gadget id="calculator">120 + 80</gadget>
<output>200</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">200 * (5/18)</gadget>
<output>500/9 = around 55.555556</output>
<gadget id="calculator">(500/9) * 9</gadget>
<output>500</output>
<gadget id="calculator">500 - 360</gadget>
<output>140</output>
<result>C</result> | C | 140 | A 360 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds. What is the length of the other train? | {
"A": "220 meter",
"B": "225 meter",
"C": "140 meter",
"D": "235 meter",
"E": "none of these"
} | subtract(multiply(multiply(add(120, 80), const_0_2778), 9), 360) | add(n1,n2)|multiply(#0,const_0_2778)|multiply(n3,#1)|subtract(#2,n0)| | "explanation : as trains are running in opposite directions so their relative speed will get added so , relative speed = 120 + 80 = 200 kmph = 200 * ( 5 / 18 ) = 500 / 9 m / sec let the length of other train is x meter then x + 360 / 9 = 500 / 9 = > x + 360 = 500 = > x = 140 so the length of the train is 140 meters option c" | physics |
math_qa__TtQ2qbJvXAJB3xE5 | How long does a train 100 m long traveling at 54 kmph takes to cross a station of 250 m in length? Choices.
A) 22 sec
B) 20 sec
C) 15 sec
D) 23 sec
E) 16 sec | <gadget id="calculator">100 + 250</gadget>
<output>350</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">54 * (5/18)</gadget>
<output>15</output>
<gadget id="calculator">350 / 15</gadget>
<output>70/3 = around 23.333333</output>
<result>D</result> | D | 23 | How long does a train 100 m long traveling at 54 kmph takes to cross a station of 250 m in length? | {
"A": "22 sec",
"B": "20 sec",
"C": "15 sec",
"D": "23 sec",
"E": "16 sec"
} | divide(add(100, 250), multiply(54, const_0_2778)) | add(n0,n2)|multiply(n1,const_0_2778)|divide(#0,#1)| | "d = 100 + 245 = 345 m s = 54 * 5 / 18 = 15 t = 345 * 1 / 15 = 23 sec answer : d" | physics |
math_qa__cySox0trsDRE4LDY | The ratio of efficiency of A is to C is 5:3.The ratio of no.of days taken by B is to C is 2:3.A takes 6 days less than C,when A and C completes the work individually.B and C left the work after 2 days.the no of days taken by A to finish the remaining work? Answers: A) 4.5 B) 5 C) 6 D) 7 E) 8 | <gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">5 * 3</gadget>
<output>15</output>
<gadget id="calculator">15 / 3</gadget>
<output>5</output>
<gadget id="calculator">2 * 5</gadget>
<output>10</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">(1/10) + (1/15)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) * 2</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">9 * (2/3)</gadget>
<output>6</output>
<result>C</result> | C | 6 | The ratio of efficiency of A is to C is 5:3.The ratio of no.of days taken by B is to C is 2:3.A takes 6 days less than C,when A and C completes the work individually.B and C left the work after 2 days.the no of days taken by A to finish the remaining work? | {
"A": "4.5",
"B": "5",
"C": "6",
"D": "7",
"E": "8"
} | multiply(multiply(divide(6, subtract(5, 3)), 3), subtract(const_1, multiply(add(divide(const_1, multiply(2, divide(multiply(5, divide(6, subtract(5, 3))), 3))), divide(const_1, multiply(5, divide(6, subtract(5, 3))))), 2))) | subtract(n0,n1)|divide(n4,#0)|multiply(n1,#1)|multiply(n0,#1)|divide(#3,n1)|divide(const_1,#3)|multiply(n2,#4)|divide(const_1,#6)|add(#7,#5)|multiply(n2,#8)|subtract(const_1,#9)|multiply(#2,#10) | a : b : c efficiency 10 : 9 : 6 no of days 9 x : 10 x : 15 x given = > 15 x - 9 x = 6 hence , x = 1 number of days taken by a = 9 and daily work done = 10 number of days taken by b = 10 and daily work done = 9 ( total work = 90 ) number of days taken by c = 15 and daily work done = 6 work done by b and c in initial 2 days = 30 rest work = 60 number of days required by a to finish = 60 / 10 = 6 days answer : c | physics |
math_qa__K0lGSABk6mfg6HWt | If S = {8, 16, 24, 32, 40, 48}, what is the product of mean and median of the numbers in S? Choose the correct choice:
A) 652 B) 589 C) 456 D) 620 E) 784 | <gadget id="calculator">16 + 8</gadget>
<output>24</output>
<gadget id="calculator">24 + 24</gadget>
<output>48</output>
<gadget id="calculator">48 + 32</gadget>
<output>80</output>
<gadget id="calculator">80 + 40</gadget>
<output>120</output>
<gadget id="calculator">120 + 48</gadget>
<output>168</output>
<gadget id="calculator">2 + 4</gadget>
<output>6</output>
<gadget id="calculator">168 / 6</gadget>
<output>28</output>
<gadget id="calculator">24 + 32</gadget>
<output>56</output>
<gadget id="calculator">56 / 2</gadget>
<output>28</output>
<gadget id="calculator">28 * 28</gadget>
<output>784</output>
<result>E</result> | E | 784 | If S = {8, 16, 24, 32, 40, 48}, what is the product of mean and median of the numbers in S? | {
"A": "652",
"B": "589",
"C": "456",
"D": "620",
"E": "784"
} | multiply(divide(add(add(add(add(add(16, 8), 24), 32), 40), 48), add(const_2, const_4)), divide(add(24, 32), const_2)) | add(n0,n1)|add(const_2,const_4)|add(n2,n3)|add(n2,#0)|divide(#2,const_2)|add(n3,#3)|add(n4,#5)|add(n5,#6)|divide(#7,#1)|multiply(#8,#4) | mean = ( 8 + 16 + 24 + 32 + 40 + 48 ) / 6 = 28 median = ( 24 + 32 ) / 2 = 28 product = 28 * 28 = 784 option e | general |
math_qa__6EL3vwgEGdlm00XN | After an ice began to melt out from the freezer, in the first hour lost 3/4, in the second hour lost 3/4 of its remaining. If after two hours, the volume is 0.2 cubic inches, what is the original volume of the cubic ice, in cubic inches? Choose the correct choice:
A) 2.5
B) 3.2
C) 4.0
D) 6.5
E) 8.0 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">0.2 / (1/4)</gadget>
<output>0.8</output>
<gadget id="calculator">0.8 / (1/4)</gadget>
<output>3.2</output>
<result>B</result> | B | 3.2 | After an ice began to melt out from the freezer, in the first hour lost 3/4, in the second hour lost 3/4 of its remaining. If after two hours, the volume is 0.2 cubic inches, what is the original volume of the cubic ice, in cubic inches? | {
"A": "2.5",
"B": "3.2",
"C": "4.0",
"D": "6.5",
"E": "8.0"
} | divide(divide(0.2, const_0_25), const_0_25) | divide(n4,const_0_25)|divide(#0,const_0_25)| | "let initial volume of ice be = x ice remaining after 1 hour = x - 0.75 x = 0.25 x ice remaining after 2 hour = ( 1 / 4 ) x - ( 3 / 4 * 1 / 4 * x ) = ( 1 / 16 ) x ( 1 / 16 ) x = 0.2 x = 3.2 alternate solution : try to backsolve . initial volume = 3.2 after one hour - - > ( 1 / 4 ) 3.2 = 0.8 after two hours - - > ( 1 / 4 ) 0.8 = 0.2 answer : b" | physics |
math_qa__fl1W5UlJNEfGbzSk | One fourth of a solution that was 22% sugar by weight was replaced by a second solution resulting in a solution that was 35 percent sugar by weight. The second solution was what percent sugar by weight? Choose the most appropriate option: A) 74 % B) 24 % C) 22 % D) 18 % E) 8.5 % | <gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">100 * (7/20)</gadget>
<output>35</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 100</gadget>
<output>25</output>
<gadget id="calculator">100 - 25</gadget>
<output>75</output>
<gadget id="calculator">22 / 100</gadget>
<output>11/50 = around 0.22</output>
<gadget id="calculator">75 * (11/50)</gadget>
<output>33/2 = around 16.5</output>
<gadget id="calculator">35 - (33/2)</gadget>
<output>37/2 = around 18.5</output>
<gadget id="calculator">(37/2) / 25</gadget>
<output>37/50 = around 0.74</output>
<gadget id="calculator">(37/50) * 100</gadget>
<output>74</output>
<result>A</result> | A | 74 | One fourth of a solution that was 22% sugar by weight was replaced by a second solution resulting in a solution that was 35 percent sugar by weight. The second solution was what percent sugar by weight? | {
"A": "74 %",
"B": "24 %",
"C": "22 %",
"D": "18 %",
"E": "8.5 %"
} | multiply(divide(subtract(multiply(const_100, divide(35, const_100)), multiply(subtract(const_100, multiply(divide(const_1, const_4), const_100)), divide(22, const_100))), multiply(divide(const_1, const_4), const_100)), const_100) | divide(n1,const_100)|divide(n0,const_100)|divide(const_1,const_4)|multiply(#0,const_100)|multiply(#2,const_100)|subtract(const_100,#4)|multiply(#1,#5)|subtract(#3,#6)|divide(#7,#4)|multiply(#8,const_100)| | "say the second solution ( which was 1 / 4 th of total ) was x % sugar , then 3 / 4 * 0.22 + 1 / 4 * x = 1 * 0.35 - - > x = 0.74 . alternately you can consider total solution to be 100 liters and in this case you ' ll have : 75 * 0.22 + 25 * x = 100 * 0.35 - - > x = 0.74 . answer : a ." | gain |
math_qa__LQB6xk1FCQZgVMI8 | If 2994 ÷ 14.5 = 171, then 29.94 ÷ 1.45 = ?
Select the correct option
A) 17.1 B) 17.3 C) 17.5 D) 17.7 E) 17.2 | <gadget id="calculator">14.5 / 1.45</gadget>
<output>10</output>
<gadget id="calculator">171 / 10</gadget>
<output>171/10 = around 17.1</output>
<result>A</result> | A | 17.1 | If 2994 ÷ 14.5 = 171, then 29.94 ÷ 1.45 = ? | {
"A": "17.1",
"B": "17.3",
"C": "17.5",
"D": "17.7",
"E": "17.2"
} | divide(171, divide(14.5, 1.45)) | divide(n1,n4)|divide(n2,#0)| | "29.94 / 1.45 = 299.4 / 14.5 = ( 2994 / 14.5 ) x 1 / 10 ) [ here , substitute 171 in the place of 2994 / 14.5 ] = 171 / 10 = 17.1 answer is a ." | general |
math_qa__VxEmwg0UkAB7dtFE | There are 840 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female? Choose the correct choice from the following.
A) 140 B) 100 C) 125 D) 175 E) 225 | <gadget id="calculator">840 / 3</gadget>
<output>280</output>
<gadget id="calculator">280 * 4</gadget>
<output>1_120</output>
<gadget id="calculator">1_120 - 840</gadget>
<output>280</output>
<gadget id="calculator">280 / 2</gadget>
<output>140</output>
<result>A</result> | A | 140 | There are 840 male and female participants in a meeting. Half the female participants and one-quarter of the male participants are Democrats. One-third of all the participants are Democrats. How many of the Democrats are female? | {
"A": "140",
"B": "100",
"C": "125",
"D": "175",
"E": "225"
} | divide(subtract(multiply(divide(840, const_3), const_4), 840), const_2) | divide(n0,const_3)|multiply(#0,const_4)|subtract(#1,n0)|divide(#2,const_2)| | "female = x male = 840 - x x / 2 + 840 - x / 4 = 1 / 3 * ( 840 ) = 280 x = 280 x / 2 = 140 is supposed to be the answer m is missing something correct option a" | general |
math_qa__pdZAKujWl706c2ew | there are 4 members in a family . their average income is rs . 10000 per month . 3 members get rs . 8000 , rs . 15000 , rs . 6000 respectively . therefore what is the income of the fourth member of the family ? Choose the correct option.
A) rs . 10000 B) rs . 11000 C) rs . 12000 D) rs . 9000 E) rs . 8500 | <gadget id="calculator">4 * 10_000</gadget>
<output>40_000</output>
<gadget id="calculator">8_000 + 15_000</gadget>
<output>23_000</output>
<gadget id="calculator">23_000 + 6_000</gadget>
<output>29_000</output>
<gadget id="calculator">40_000 - 29_000</gadget>
<output>11_000</output>
<result>B</result> | B | 11,000 | there are 4 members in a family . their average income is rs . 10000 per month . 3 members get rs . 8000 , rs . 15000 , rs . 6000 respectively . therefore what is the income of the fourth member of the family ? | {
"A": "rs . 10000",
"B": "rs . 11000",
"C": "rs . 12000",
"D": "rs . 9000",
"E": "rs . 8500"
} | subtract(multiply(4, 10000), add(add(8000, 15000), 6000)) | add(n3,n4)|multiply(n0,n1)|add(n5,#0)|subtract(#1,#2) | explanation total income of 3 members = rs . ( 8000 + 15000 + 6000 ) = rs . 29000 . required income = rs . [ ( 10000 x 4 ) – 29000 ] = rs . ( 40000 – 29000 ) = rs . 11000 . answer b | general |
math_qa__SMPYYx7ETkRqH4EI | If (3/2)x - 3 = 15
what is the value of x ? Choose the correct choice from the following:
A) - 12
B) 12
C) - 1 / 12
D) 1 / 12
E) 3 | <gadget id="calculator">15 + 3</gadget>
<output>18</output>
<gadget id="calculator">18 * 2</gadget>
<output>36</output>
<gadget id="calculator">36 / 3</gadget>
<output>12</output>
<result>B</result> | B | 12 | If (3/2)x - 3 = 15
what is the value of x ? | {
"A": "- 12",
"B": "12",
"C": "- 1 / 12",
"D": "1 / 12",
"E": "3"
} | divide(multiply(add(15, 3), 2), 3) | add(n0,n3)|multiply(n1,#0)|divide(#1,n0) | ( 3 / 2 ) x - 3 = 15 = > 3 x - 6 = 30 = > 3 x = 36 = > x = 12 answer : b | general |
math_qa__fQJDeXnvbAQdZQLU | A and B invests Rs.3000 and Rs.8000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit?
Pick one.
A) 9 : 6
B) 9 : 8
C) 9 : 16
D) 9 : 9
E) 9 : 5 | <gadget id="calculator">3_000 * 6</gadget>
<output>18_000</output>
<gadget id="calculator">3_000 * 2</gadget>
<output>6_000</output>
<gadget id="calculator">6_000 * 6</gadget>
<output>36_000</output>
<gadget id="calculator">18_000 + 36_000</gadget>
<output>54_000</output>
<gadget id="calculator">6 + 6</gadget>
<output>12</output>
<gadget id="calculator">8_000 * 12</gadget>
<output>96_000</output>
<gadget id="calculator">54_000 / 96_000</gadget>
<output>9/16 = around 0.5625</output>
<result>C</result> | C | 0.5625 | A and B invests Rs.3000 and Rs.8000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit? | {
"A": "9 : 6",
"B": "9 : 8",
"C": "9 : 16",
"D": "9 : 9",
"E": "9 : 5"
} | divide(add(multiply(3000, 6), multiply(multiply(3000, const_2), 6)), multiply(8000, add(6, 6))) | add(n2,n2)|multiply(n0,n2)|multiply(n0,const_2)|multiply(n2,#2)|multiply(n1,#0)|add(#1,#3)|divide(#5,#4)| | "( 3 * 6 + 6 * 6 ) : ( 8 * 12 ) 54 : 96 = > 9 : 16 . answer : c" | gain |
math_qa__SGdx7DpGqlLyyIdx | A rectangular plot measuring 90 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed?
Pick one:
A) 34 B) 77 C) 36 D) 56 E) 91 | <gadget id="calculator">90 + 50</gadget>
<output>140</output>
<gadget id="calculator">140 * 2</gadget>
<output>280</output>
<gadget id="calculator">280 / 5</gadget>
<output>56</output>
<result>D</result> | D | 56 | A rectangular plot measuring 90 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed? | {
"A": "34",
"B": "77",
"C": "36",
"D": "56",
"E": "91"
} | divide(multiply(add(90, 50), const_2), 5) | add(n0,n1)|multiply(#0,const_2)|divide(#1,n2)| | "explanation : perimeter of the plot = 2 ( 90 + 50 ) = 280 m no of poles = 280 / 5 = 56 m answer : d" | physics |
math_qa__K2isAI1PGwozqKsi | The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $9.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat?
Choices
A) $ 4.50
B) $ 5.10
C) $ 9.30
D) $ 5.50
E) $ 5.60 | <gadget id="calculator">9.8 - 3.2</gadget>
<output>6.6</output>
<gadget id="calculator">2 ** (1/2)</gadget>
<output>sqrt(2) = around 1.414214</output>
<gadget id="calculator">(sqrt(2)) - 1</gadget>
<output>-1 + sqrt(2) = around 0.414214</output>
<gadget id="calculator">5 + (-1 + sqrt(2))</gadget>
<output>sqrt(2) + 4 = around 5.414214</output>
<gadget id="calculator">6.6 / (sqrt(2) + 4)</gadget>
<output>6.6/(sqrt(2) + 4) = around 1.219014</output>
<gadget id="calculator">(6.6/(sqrt(2) + 4)) * 5</gadget>
<output>33.0/(sqrt(2) + 4) = around 6.095068</output>
<gadget id="calculator">3.2 + (33.0/(sqrt(2) + 4))</gadget>
<output>3.2 + 33.0/(sqrt(2) + 4) = around 9.295068</output>
<result>C</result> | C | 9.3 | The price of a bushel of corn is currently $3.20, and the price of a peck of wheat is $9.80. The price of corn is increasing at a constant rate of 5x cents per day while the price of wheat is decreasing at a constant rate of x(2^1/2) - x cents per day. What is the approximate price when a bushel of corn costs the same amount as a peck of wheat? | {
"A": "$ 4.50",
"B": "$ 5.10",
"C": "$ 9.30",
"D": "$ 5.50",
"E": "$ 5.60"
} | add(3.20, multiply(divide(subtract(9.80, 3.20), add(5, subtract(sqrt(2), 1))), 5)) | sqrt(n3)|subtract(n1,n0)|subtract(#0,n4)|add(n2,#2)|divide(#1,#3)|multiply(n2,#4)|add(n0,#5)| | "i tried using time / rate approach : - initial price difference = 9.80 - 3.20 = 6.60 price of corn increasing by 5 x price of wheat decreasing by x ( 1.4 ) - x = . 4 x since both the quantities are moving towards reducing the price gap hence : - relative increase = 5 x + . 4 x let t be the time by which gap is filled so , 6.6 = t ( 5.4 x ) - > t = ( 6.6 ) / 5.4 x final price = 3.20 + 5 x * t - > 3.20 + 5 * 6.6 / 5.4 = 9.3 answer c ." | general |
math_qa__He2izB7Yz3WtI4Iv | At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 16 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants? Choose the correct choice from the following options:
A) 2 B) 3 C) 4 D) 5 E) 6 | <gadget id="calculator">19 + 16</gadget>
<output>35</output>
<gadget id="calculator">35 + 12</gadget>
<output>47</output>
<gadget id="calculator">47 - 4</gadget>
<output>43</output>
<gadget id="calculator">43 - 39</gadget>
<output>4</output>
<gadget id="calculator">4 / 2</gadget>
<output>2</output>
<result>A</result> | A | 2 | At a certain resort, each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants. The 3 restaurants are the family buffet, the dining room, and the snack bar. Exactly 19 employees are trained to work in the family buffet, 16 are trained to work in the dining room, and 12 are trained to work in the snack bar. If 4 employees are trained to work in exactly 2 restaurants, how many employees are trained to work in all 3 restaurants? | {
"A": "2",
"B": "3",
"C": "4",
"D": "5",
"E": "6"
} | divide(subtract(subtract(add(add(19, 16), 12), 4), 39), const_2) | add(n4,n5)|add(n6,#0)|subtract(#1,n7)|subtract(#2,n0)|divide(#3,const_2) | 39 = 19 + 16 + 12 - 4 - 2 x 2 x = 19 + 16 + 12 - 4 - 39 = 43 - 39 = 4 x = 2 a | physics |
math_qa__2g8mxAXWKJ96LLSr | There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle?
Choose the correct choice:
A) 6
B) 5
C) 8
D) 6
E) 3 | <gadget id="calculator">784 ** (1/2)</gadget>
<output>28</output>
<gadget id="calculator">28 / 2</gadget>
<output>14</output>
<gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">7 / 3</gadget>
<output>7/3 = around 2.333333</output>
<gadget id="calculator">14 / (7/3)</gadget>
<output>6</output>
<gadget id="calculator">6 + 2</gadget>
<output>8</output>
<result>C</result> | C | 8 | There are two circles of different radii. The are of a square is 784 sq cm and its side is twice the radius of the larger circle. The radius of the larger circle is seven - third that of the smaller circle. Find the circumference of the smaller circle? | {
"A": "6",
"B": "5",
"C": "8",
"D": "6",
"E": "3"
} | add(divide(divide(square_edge_by_area(784), const_2), divide(add(const_3, const_4), const_3)), const_2) | add(const_3,const_4)|square_edge_by_area(n0)|divide(#1,const_2)|divide(#0,const_3)|divide(#2,#3)|add(#4,const_2) | let the radii of the larger and the smaller circles be l cm and s cm respectively . let the side of the square be a cm . a 2 = 784 = ( 4 ) ( 196 ) = ( 22 ) . ( 142 ) a = ( 2 ) ( 14 ) = 28 a = 2 l , l = a / 2 = 14 l = ( 7 / 3 ) s therefore s = ( 3 / 7 ) ( l ) = 6 circumference of the smaller circle = 2 ∏ s = 12 ∏ cm . answer : c | geometry |
math_qa__KcFJgXud5aEtaMOE | 30 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days? Choose the correct choice from the following
A) 87
B) 18
C) 17
D) 36
E) 10 | <gadget id="calculator">1_600 / 20</gadget>
<output>80</output>
<gadget id="calculator">30 * 21</gadget>
<output>630</output>
<gadget id="calculator">1_400 / 630</gadget>
<output>20/9 = around 2.222222</output>
<gadget id="calculator">80 / (20/9)</gadget>
<output>36</output>
<result>D</result> | D | 36 | 30 binders can bind 1400 books in 21 days. How many binders will be required to bind 1600 books in 20 days? | {
"A": "87",
"B": "18",
"C": "17",
"D": "36",
"E": "10"
} | divide(divide(1600, 20), divide(1400, multiply(30, 21))) | divide(n3,n4)|multiply(n0,n2)|divide(n1,#1)|divide(#0,#2) | binders books days 30 1400 21 x 1600 20 x / 30 = ( 1600 / 1400 ) * ( 21 / 20 ) = > x = 36 answer : d | physics |
math_qa__19VG6v257yjeD9LO | Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year? Choose the correct choice.
A) 3377 B) 2678 C) 5460 D) 1976 E) 1671 | <gadget id="calculator">100 + 4</gadget>
<output>104</output>
<gadget id="calculator">5_000 * 104</gadget>
<output>520_000</output>
<gadget id="calculator">520_000 / 100</gadget>
<output>5_200</output>
<gadget id="calculator">100 + 5</gadget>
<output>105</output>
<gadget id="calculator">5_200 * 105</gadget>
<output>546_000</output>
<gadget id="calculator">546_000 / 100</gadget>
<output>5_460</output>
<result>C</result> | C | 5,460 | Find the amount on Rs.5000 in 2 years, the rate of interest being 4% per first year and 5% for the second year? | {
"A": "3377",
"B": "2678",
"C": "5460",
"D": "1976",
"E": "1671"
} | divide(multiply(divide(multiply(5000, add(const_100, 4)), const_100), add(const_100, 5)), 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 * 104 / 100 * 105 / 100 = > 5460 answer : c" | gain |
math_qa__3J5iOTRSOMac2sG9 | The average monthly salary of 8 workers and one supervisor in a factory was 430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.Whenthesupervisor,whosesalarywas430. When the supervisor, whose salary was 870 per month, retired, a new person was appointed and then the average salary of 9 people was $$410 per month. The salary of the new supervisor is:
Answers.
A) 233 B) 690 C) 287 D) 771 E) 191 | <gadget id="calculator">410 * 9</gadget>
<output>3_690</output>
<gadget id="calculator">430 * 9</gadget>
<output>3_870</output>
<gadget id="calculator">3_870 - 870</gadget>
<output>3_000</output>
<gadget id="calculator">3_690 - 3_000</gadget>
<output>690</output>
<result>B</result> | B | 690 | The average monthly salary of 8 workers and one supervisor in a factory was 430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.@SSWhen@SSthe@SSsupervisor@CC@SSwhose@SSsalary@SSwas@SS430.Whenthesupervisor,whosesalarywas430. When the supervisor, whose salary was 870 per month, retired, a new person was appointed and then the average salary of 9 people was $$410 per month. The salary of the new supervisor is: | {
"A": "233",
"B": "690",
"C": "287",
"D": "771",
"E": "191"
} | subtract(multiply(410, 9), subtract(multiply(430, 9), 870)) | multiply(n6,n7)|multiply(n1,n6)|subtract(#1,n5)|subtract(#0,#2)| | "explanation : total salary of 8 workers and supervisor together = 9 ã — 430 = 3870 now total salary of 8 workers = 3870 â ˆ ’ 870 = 3000 total salary of 9 workers including the new supervisor = 9 ã — 410 = 3690 salary of the new supervisor = 3690 â ˆ ’ 3000 = 690 answer : b" | general |
math_qa__7X32E3dW5V4VgqAz | If there are 4 peanuts in a box and Mary puts 6 more peanuts inside, how many peanuts are in the box?
Choose one: A) 8 B) 9 C) 10 D) 11 E) 12 | <gadget id="calculator">4 + 6</gadget>
<output>10</output>
<result>C</result> | C | 10 | If there are 4 peanuts in a box and Mary puts 6 more peanuts inside, how many peanuts are in the box? | {
"A": "8",
"B": "9",
"C": "10",
"D": "11",
"E": "12"
} | add(4, 6) | add(n0,n1) | 6 + 4 = 10 correct answer is c ) 10 | general |
math_qa__AMCCfAvCnLq3ZJiD | How many 3 digit positive integers exist that when divided by 7 leave a remainder of 5?
Options.
A) 128 B) 142 C) 143 D) 141 E) 129 | <gadget id="calculator">100 * 10</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 - 1</gadget>
<output>999</output>
<gadget id="calculator">10 + 4</gadget>
<output>14</output>
<gadget id="calculator">14 * 7</gadget>
<output>98</output>
<gadget id="calculator">98 + 5</gadget>
<output>103</output>
<gadget id="calculator">999 - 103</gadget>
<output>896</output>
<gadget id="calculator">896 / 7</gadget>
<output>128</output>
<result>E</result> | E | 129 | How many 3 digit positive integers exist that when divided by 7 leave a remainder of 5? | {
"A": "128",
"B": "142",
"C": "143",
"D": "141",
"E": "129"
} | divide(subtract(subtract(multiply(const_100, const_10), const_1), add(multiply(add(const_10, const_4), 7), 5)), 7) | add(const_10,const_4)|multiply(const_10,const_100)|multiply(n1,#0)|subtract(#1,const_1)|add(n2,#2)|subtract(#3,#4)|divide(#5,n1)| | "explanatory answer step 1 : find the first and last term of the series the smallest 3 - digit positive integer that leaves a remainder of 5 when divided by 7 is 103 . the largest 3 - digit positive integer that leaves a remainder of 5 when divided by 7 is 999 . the series of numbers that satisfy the condition that the number should leave a remainder of 5 when divided by 7 is an a . p ( arithmetic progression ) with the first term being 103 and the last term being 999 . the common difference of the sequence is 7 . step 2 : compute the number of terms in an a . p , the last term l = a + ( n - 1 ) * d , where ' a ' is the first term , ' n ' is the number of terms of the series and ' d ' is the common difference . therefore , 999 = 103 + ( n - 1 ) * 7 or 999 - 103 = ( n - 1 ) * 7 or 896 = ( n - 1 ) * 7 so , n - 1 = 128 or n = 129 choice e is the correct answer ." | general |
math_qa__BlGRHY9YXUL7Z1QB | If (10^4 * 3.456789)^9 is written as a single term, how many digits would be to the right of the decimal place? Choose the correct choice
A) 6 B) 12 C) 18 D) 32 E) 48 | <gadget id="calculator">9 * 2</gadget>
<output>18</output>
<result>C</result> | C | 18 | If (10^4 * 3.456789)^9 is written as a single term, how many digits would be to the right of the decimal place? | {
"A": "6",
"B": "12",
"C": "18",
"D": "32",
"E": "48"
} | multiply(9, const_2) | multiply(n3,const_2)| | "3.456789 ^ 9 has 6 * 9 = 54 decimal places . 10 ^ 36 moves the decimal place to the right 36 places . ( 10 ^ 4 * 3.456789 ) ^ 9 has 54 - 36 = 18 digits after the decimal point . the answer is c ." | general |
math_qa__SqCTWUfbNO9eHrky | If c is 30% of a and 25% of b, what percent of a is b?
Select: A) 2.5 % B) 15 % C) 120 % D) 35 % E) 250 % | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(3/10) / (1/4)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">(6/5) * 100</gadget>
<output>120</output>
<result>C</result> | C | 120 | If c is 30% of a and 25% of b, what percent of a is b? | {
"A": "2.5 %",
"B": "15 %",
"C": "120 %",
"D": "35 %",
"E": "250 %"
} | multiply(divide(divide(30, const_100), divide(25, const_100)), const_100) | divide(n0,const_100)|divide(n1,const_100)|divide(#0,#1)|multiply(#2,const_100)| | "answer = c 30 a / 100 = 25 b / 100 b = 30 a / 25 = 120 a / 100 = 120 %" | gain |
math_qa__9qGRg0rnymSadply | The moon revolves around the earth at a speed of approximately 0.9 kilometers per second. This approximate speed is how many kilometers per hour? Pick one.
A) 60 B) 61.2 C) 3240 D) 3,600 E) 3,672 | <gadget id="calculator">0.9 * 3_600</gadget>
<output>3_240</output>
<result>C</result> | C | 3,240 | The moon revolves around the earth at a speed of approximately 0.9 kilometers per second. This approximate speed is how many kilometers per hour? | {
"A": "60",
"B": "61.2",
"C": "3240",
"D": "3,600",
"E": "3,672"
} | multiply(0.9, const_3600) | multiply(n0,const_3600)| | "moon revolves around the earth at a speed of 1.02 kilometers per second . one hour equal to 60 minutes . one minute equals to 60 seconds . so one hour equals to 3600 seconds . so one hour , speed = 0.9 * 3600 = 3240 kilometers per hour . option c is correct" | physics |
math_qa__WgyImzecoJxdhIYn | The ratio of boarders to day students at a school was originally 5 to 12. However, after a number of new boarders join the initial 150 boarders, the ratio changed to 1 to 2. If no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school? Select the correct option.
A) 30
B) 50
C) 70
D) 80
E) 90 | <gadget id="calculator">150 / 5</gadget>
<output>30</output>
<gadget id="calculator">30 * 12</gadget>
<output>360</output>
<gadget id="calculator">360 / 2</gadget>
<output>180</output>
<gadget id="calculator">180 - 150</gadget>
<output>30</output>
<result>A</result> | A | 30 | The ratio of boarders to day students at a school was originally 5 to 12. However, after a number of new boarders join the initial 150 boarders, the ratio changed to 1 to 2. If no boarders became day students and vice versa, and no students left the school, how many new boarders joined the school? | {
"A": "30",
"B": "50",
"C": "70",
"D": "80",
"E": "90"
} | subtract(divide(multiply(divide(150, 5), 12), 2), 150) | divide(n2,n0)|multiply(n1,#0)|divide(#1,n4)|subtract(#2,n2)| | "let x be the number of new boarders . the ratio changed from 5 : 12 up to 1 : 2 = 6 : 12 . 150 / ( 150 + x ) = 5 / 6 x = 30 the answer is a ." | other |
math_qa__O4E9cD0cmIX5Ex6y | A boy is travelling from his home to school at 4 km/hr and reached 7 min late. Next day he traveled at 8 km/hr and reached 8 min early. Distance between home and school?
Answers: A) 2 km B) 3 km C) 4 km D) 5 km E) 6 km | <gadget id="calculator">7 / 60</gadget>
<output>7/60 = around 0.116667</output>
<gadget id="calculator">8 / 60</gadget>
<output>2/15 = around 0.133333</output>
<gadget id="calculator">(7/60) + (2/15)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/4) / (1/8)</gadget>
<output>2</output>
<result>A</result> | A | 2 | A boy is travelling from his home to school at 4 km/hr and reached 7 min late. Next day he traveled at 8 km/hr and reached 8 min early. Distance between home and school? | {
"A": "2 km",
"B": "3 km",
"C": "4 km",
"D": "5 km",
"E": "6 km"
} | divide(add(divide(7, const_60), divide(8, const_60)), divide(const_1, 8)) | divide(n1,const_60)|divide(n3,const_60)|divide(const_1,n2)|add(#0,#1)|divide(#3,#2)| | "let the distance be x t 1 = x / 4 hr t 2 = x / 8 hr difference in time = 7 + 8 = 15 = 1 / 4 hr x / 4 - x / 8 = 1 / 4 x / 8 = 1 / 4 x = 2 km answer is a" | physics |
math_qa__g5rpJfknrLpf9K7D | According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 5 - ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice? Options:
A) 25 B) 34 C) 50 D) 60 E) 100 | <gadget id="calculator">6 * 200</gadget>
<output>1_200</output>
<gadget id="calculator">200 / 10</gadget>
<output>20</output>
<gadget id="calculator">1_200 / 20</gadget>
<output>60</output>
<result>D</result> | D | 60 | According to the direction on a can of frozen orange juice concentrate is to be mixed with 3 cans of water to make orange juice . How many 5 - ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice? | {
"A": "25",
"B": "34",
"C": "50",
"D": "60",
"E": "100"
} | divide(multiply(6, 200), divide(200, const_10)) | divide(n2,const_10)|multiply(n2,n3)|divide(#1,#0) | orange juice concentrate : water : : 1 : 3 total quantity of orange juice = 200 * 6 = 1200 oz so orange juice concentrate : water : : 300 oz : 900 oz no . of 5 oz can = 300 oz / 5 oz = 60 answer d , 60 cans | general |
math_qa__HoOzsYtchXTYYXPy | Each of the 30 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and the average (arithmetic mean) weight of the boxes in the shipment is 18 pounds. If the average weight of the boxes in the shipment is to be reduced to 16 pounds by removing some of the 20-pound boxes, how many 20-pound boxes must be removed? Choose the correct choice
A) 9 B) 12 C) 15 D) 18 E) 21 | <gadget id="calculator">20 * 30</gadget>
<output>600</output>
<gadget id="calculator">30 * 18</gadget>
<output>540</output>
<gadget id="calculator">600 - 540</gadget>
<output>60</output>
<gadget id="calculator">20 - 10</gadget>
<output>10</output>
<gadget id="calculator">60 / 10</gadget>
<output>6</output>
<gadget id="calculator">10 * 6</gadget>
<output>60</output>
<gadget id="calculator">30 - 6</gadget>
<output>24</output>
<gadget id="calculator">20 * 24</gadget>
<output>480</output>
<gadget id="calculator">60 + 480</gadget>
<output>540</output>
<gadget id="calculator">30 * 16</gadget>
<output>480</output>
<gadget id="calculator">540 - 480</gadget>
<output>60</output>
<gadget id="calculator">20 - 16</gadget>
<output>4</output>
<gadget id="calculator">60 / 4</gadget>
<output>15</output>
<result>C</result> | C | 15 | Each of the 30 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and the average (arithmetic mean) weight of the boxes in the shipment is 18 pounds. If the average weight of the boxes in the shipment is to be reduced to 16 pounds by removing some of the 20-pound boxes, how many 20-pound boxes must be removed? | {
"A": "9",
"B": "12",
"C": "15",
"D": "18",
"E": "21"
} | divide(subtract(add(multiply(10, divide(subtract(multiply(20, 30), multiply(30, 18)), subtract(20, 10))), multiply(20, subtract(30, divide(subtract(multiply(20, 30), multiply(30, 18)), subtract(20, 10))))), multiply(30, 16)), subtract(20, 16)) | multiply(n0,n2)|multiply(n0,n3)|multiply(n0,n4)|subtract(n2,n1)|subtract(n2,n4)|subtract(#0,#1)|divide(#5,#3)|multiply(n1,#6)|subtract(n0,#6)|multiply(n2,#8)|add(#7,#9)|subtract(#10,#2)|divide(#11,#4) | if the average of 10 - pound and 20 - pound boxes is 18 , the ratio of 10 - pound boxes : 20 - pound boxes is 1 : 4 . so out of 30 boxes , 6 are 10 - pound boxes and 24 are 20 - pound boxes . if the average of 10 and 20 - pound boxes is to be 16 , the ratio of 10 - pound boxes : 20 - pound boxes should be 2 : 3 . the number of 10 pound boxes remain the same so we still have 6 of them . to get a ratio of 2 : 3 , the number of 20 - pound boxes must be 9 . we need to remove 15 of the 20 - pound boxes . the answer is c . | general |
math_qa__z140C60sdWtdoTHI | How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m
Pick.
A) 5600 B) 600 C) 6400 D) 7200 E) none of these | <gadget id="calculator">8 * 6</gadget>
<output>48</output>
<gadget id="calculator">48 * 22.5</gadget>
<output>1_080</output>
<gadget id="calculator">25 * 11.25</gadget>
<output>281.25</output>
<gadget id="calculator">281.25 * 6</gadget>
<output>1_687.5</output>
<gadget id="calculator">1_687.5 / 100</gadget>
<output>16.875</output>
<gadget id="calculator">16.875 / 100</gadget>
<output>0.16875</output>
<gadget id="calculator">1_080 / 0.16875</gadget>
<output>6_400</output>
<result>C</result> | C | 6,400 | How many bricks each measuring 25cm x 11.25cm x 6cm, will be needed to build a wall 8m x 6m x 22.5m | {
"A": "5600",
"B": "600",
"C": "6400",
"D": "7200",
"E": "none of these"
} | divide(multiply(multiply(8, 6), 22.5), divide(divide(multiply(multiply(25, 11.25), 6), const_100), const_100)) | multiply(n3,n4)|multiply(n0,n1)|multiply(n5,#0)|multiply(n2,#1)|divide(#3,const_100)|divide(#4,const_100)|divide(#2,#5)| | "explanation : no . of bricks = volume of the wall / volume of 1 brick = ( 800 x 600 x 22.5 ) / ( 25 x 11.25 x 6 ) = 6400 answer : c" | physics |
math_qa__AAMtDJrR7rXVPbO9 | A prize of $500 is to be distributed among 20 winners, each of whom must be awarded at least $20. If 2/5 of the prize will be distributed to 3/5 of the winners, what is the greatest possible individual award? Choose the correct choice from the following answers: A) $ 160 B) $ 220 C) $ 280 D) $ 300 E) $ 360 | <gadget id="calculator">500 * 2</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 / 5</gadget>
<output>200</output>
<gadget id="calculator">500 - 200</gadget>
<output>300</output>
<gadget id="calculator">20 * 3</gadget>
<output>60</output>
<gadget id="calculator">60 / 5</gadget>
<output>12</output>
<gadget id="calculator">20 - 12</gadget>
<output>8</output>
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">7 * 20</gadget>
<output>140</output>
<gadget id="calculator">300 - 140</gadget>
<output>160</output>
<result>A</result> | A | 160 | A prize of $500 is to be distributed among 20 winners, each of whom must be awarded at least $20. If 2/5 of the prize will be distributed to 3/5 of the winners, what is the greatest possible individual award? | {
"A": "$ 160",
"B": "$ 220",
"C": "$ 280",
"D": "$ 300",
"E": "$ 360"
} | subtract(subtract(500, divide(multiply(500, 2), 5)), multiply(subtract(subtract(20, divide(multiply(20, 3), 5)), const_1), 20)) | multiply(n0,n3)|multiply(n1,n5)|divide(#0,n4)|divide(#1,n4)|subtract(n0,#2)|subtract(n1,#3)|subtract(#5,const_1)|multiply(n1,#6)|subtract(#4,#7) | total value of the prize = $ 500 number of people = 20 2 / 5 of 500 ( = $ 200 ) should be distributed among 3 / 5 of 20 ( = 12 people ) with each getting $ 20 each . remaining money = 500 - 200 = $ 300 . now in order to ' maximize ' 1 prize , we need to minimise the others and we have been given that each should get $ 20 . thus , minimising the remaining 7 people ( = 20 - 12 - 1 . ' - 1 ' to exclude 1 that needs to be maximised ) = 7 * 20 = 140 . thus the maximum award can be = 300 - 140 = $ 160 , hence a is the correct answer . | general |
math_qa__8qf9DDq53W8Yqg9a | Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
A. 30 km/hr B. 45 km/hr Choose the correct choice from the following answers:
A) 11 B) 78 C) 60 D) 28 E) 81 | <gadget id="calculator">100 + 100</gadget>
<output>200</output>
<gadget id="calculator">200 / 8</gadget>
<output>25</output>
<gadget id="calculator">25 / 3</gadget>
<output>25/3 = around 8.333333</output>
<gadget id="calculator">(25/3) * 2</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">(50/3) / (5/18)</gadget>
<output>60</output>
<result>C</result> | C | 60 | Two trains, each 100 m long, moving in opposite directions, cross other in 8 sec. If one is moving twice as fast the other, then the speed of the faster train is?
A. 30 km/hr B. 45 km/hr | {
"A": "11",
"B": "78",
"C": "60",
"D": "28",
"E": "81"
} | divide(multiply(divide(divide(add(100, 100), 8), const_3), const_2), const_0_2778) | add(n0,n0)|divide(#0,n1)|divide(#1,const_3)|multiply(#2,const_2)|divide(#3,const_0_2778) | let the speed of the slower train be x m / sec . then , speed of the train = 2 x m / sec . relative speed = ( x + 2 x ) = 3 x m / sec . ( 100 + 100 ) / 8 = 3 x = > x = 25 / 3 . so , speed of the faster train = 50 / 3 = 50 / 3 * 18 / 5 = 60 km / hr . answer : c | physics |
math_qa__7ABWfDT7ZauyQUgm | How many bricks each measuring 30cm x 12cm x 10cm, will be needed to build a wall 6m x 4m x 20.5m Pick one
A) 5655 B) 1366 C) 6444 D) 7266 E) none of these | <gadget id="calculator">6 * 4</gadget>
<output>24</output>
<gadget id="calculator">24 * 20.5</gadget>
<output>492</output>
<gadget id="calculator">30 * 12</gadget>
<output>360</output>
<gadget id="calculator">360 * 10</gadget>
<output>3_600</output>
<gadget id="calculator">3_600 / 100</gadget>
<output>36</output>
<gadget id="calculator">36 / 100</gadget>
<output>9/25 = around 0.36</output>
<gadget id="calculator">492 / (9/25)</gadget>
<output>4_100/3 = around 1_366.666667</output>
<result>B</result> | B | 1,366 | How many bricks each measuring 30cm x 12cm x 10cm, will be needed to build a wall 6m x 4m x 20.5m | {
"A": "5655",
"B": "1366",
"C": "6444",
"D": "7266",
"E": "none of these"
} | divide(multiply(multiply(6, 4), 20.5), divide(divide(multiply(multiply(30, 12), 10), const_100), const_100)) | multiply(n3,n4)|multiply(n0,n1)|multiply(n5,#0)|multiply(n2,#1)|divide(#3,const_100)|divide(#4,const_100)|divide(#2,#5) | explanation : no . of bricks = volume of the wall / volume of 1 brick = ( 600 x 400 x 20.5 ) / ( 30 x 12 x 10 ) = 1366 answer : b | physics |
math_qa__59osKxx9jLE831Io | A, B and C can do a work in 6, 8 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share? Choose the correct choice from the following choices
A) 300
B) 245
C) 600
D) 743
E) 215 | <gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) + (1/8)</gadget>
<output>7/24 = around 0.291667</output>
<gadget id="calculator">(1/12) + (7/24)</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(1/8) / (3/8)</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1_800 * (1/3)</gadget>
<output>600</output>
<result>C</result> | C | 600 | A, B and C can do a work in 6, 8 and 12 days respectively doing the work together and get a payment of Rs.1800. What is B’s share? | {
"A": "300",
"B": "245",
"C": "600",
"D": "743",
"E": "215"
} | multiply(1800, divide(inverse(8), add(inverse(12), add(inverse(6), inverse(8))))) | inverse(n1)|inverse(n0)|inverse(n2)|add(#1,#0)|add(#3,#2)|divide(#0,#4)|multiply(n3,#5) | c 600 wc = 1 / 6 : 1 / 8 : 1 / 12 = > 4 : 3 : 2 3 / 9 * 1800 = 600 | physics |
math_qa__R8flhnxfSYOsnnXG | A worker makes a toy in every 2h. If he works for 100h, then how many toys will he make ?
Choose the correct choice from the following answers:
A) 40
B) 54
C) 50
D) 39
E) none | <gadget id="calculator">100 / 2</gadget>
<output>50</output>
<result>C</result> | C | 50 | A worker makes a toy in every 2h. If he works for 100h, then how many toys will he make ? | {
"A": "40",
"B": "54",
"C": "50",
"D": "39",
"E": "none"
} | divide(100, 2) | divide(n1,n0)| | "no . of toys = 100 / 2 = 50 answer : c" | physics |
math_qa__BD5uP1XgJE9sgYmf | A book is bought for $32 and sold for $56. What is the profit in percentage?
Select:
A) 15 B) 35 C) 75 D) 25 E) 85 | <gadget id="calculator">56 - 32</gadget>
<output>24</output>
<gadget id="calculator">24 / 32</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) * 100</gadget>
<output>75</output>
<result>C</result> | C | 75 | A book is bought for $32 and sold for $56. What is the profit in percentage? | {
"A": "15",
"B": "35",
"C": "75",
"D": "25",
"E": "85"
} | multiply(divide(subtract(56, 32), 32), const_100) | subtract(n1,n0)|divide(#0,n0)|multiply(#1,const_100) | 56 / 32 = 1.75 the answer is c . | gain |
math_qa__HbzExDG3OthXDAbi | The youngest of 4 children has siblings who are 3, 5, and 8 years older than she is. If the average (arithmetic mean) age of the 4 siblings is 20, what is the age of the youngest sibling?
Choose the correct answer:
A) 14 B) 15 C) 16 D) 17 E) 18 | <gadget id="calculator">4 * 20</gadget>
<output>80</output>
<gadget id="calculator">4 + 5</gadget>
<output>9</output>
<gadget id="calculator">9 + 8</gadget>
<output>17</output>
<gadget id="calculator">80 - 17</gadget>
<output>63</output>
<gadget id="calculator">63 / 4</gadget>
<output>63/4 = around 15.75</output>
<result>C</result> | C | 16 | The youngest of 4 children has siblings who are 3, 5, and 8 years older than she is. If the average (arithmetic mean) age of the 4 siblings is 20, what is the age of the youngest sibling? | {
"A": "14",
"B": "15",
"C": "16",
"D": "17",
"E": "18"
} | divide(subtract(multiply(4, 20), add(add(4, 5), 8)), 4) | add(n0,n2)|multiply(n0,n5)|add(n3,#0)|subtract(#1,#2)|divide(#3,n0)| | "x + ( x + 3 ) + ( x + 5 ) + ( x + 8 ) = 80 4 x + 16 = 80 4 x = 64 x = 16 the answer is c ." | general |
math_qa__yzWXImmzRm4BLWny | On a map the distance between two mountains is 310 inches. The actual distance between the mountains is 136 km. Ram is camped at a location that on the map is 34 inch from the base of the mountain. How many km is he from the base of the mountain?
Choose the correct answer.
A) 14.83
B) 14.81
C) 14.91
D) 14.82
E) 14.12 | <gadget id="calculator">34 * 136</gadget>
<output>4_624</output>
<gadget id="calculator">4_624 / 310</gadget>
<output>2_312/155 = around 14.916129</output>
<result>C</result> | C | 14.91 | On a map the distance between two mountains is 310 inches. The actual distance between the mountains is 136 km. Ram is camped at a location that on the map is 34 inch from the base of the mountain. How many km is he from the base of the mountain? | {
"A": "14.83",
"B": "14.81",
"C": "14.91",
"D": "14.82",
"E": "14.12"
} | divide(multiply(34, 136), 310) | multiply(n1,n2)|divide(#0,n0)| | "explanation : since 310 inch = 136 km so 1 inch = 136 / 310 km so 34 inch = ( 136 ã — 34 ) / 310 = 14.91 km answer : c" | physics |
math_qa__6ry1ioYiiKVETDcn | Brenda and Sally run in opposite direction on a circular track, starting at diametrically opposite points. They first meet after Brenda has run 100 meters. They next meet after Sally has run 100 meters past their first meeting point. Each girl runs at a constant speed. What is the length of the track in meters? Answers.
A) 250
B) 300
C) 350
D) 400
E) 500 | <gadget id="calculator">2 * 100</gadget>
<output>200</output>
<gadget id="calculator">200 + 100</gadget>
<output>300</output>
<result>B</result> | B | 300 | Brenda and Sally run in opposite direction on a circular track, starting at diametrically opposite points. They first meet after Brenda has run 100 meters. They next meet after Sally has run 100 meters past their first meeting point. Each girl runs at a constant speed. What is the length of the track in meters? | {
"A": "250",
"B": "300",
"C": "350",
"D": "400",
"E": "500"
} | add(multiply(const_2, 100), 100) | multiply(n0,const_2)|add(n1,#0)| | "nice problem . + 1 . first timetogetherthey run half of the circumference . second timetogetherthey run full circumference . first time brenda runs 100 meters , thus second time she runs 2 * 100 = 200 meters . since second time ( when they run full circumference ) brenda runs 200 meters and sally runs 100 meters , thus the circumference is 200 + 100 = 300 meters . answer : b ." | physics |
math_qa__XWaYRXnlhuNvr6OV | For the symbol, m”n=n^2−m for all values of m and n. What is the value of 3”3? Answers:
A) 6
B) 3
C) 2
D) 1
E) 0 | <gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">9 - 3</gadget>
<output>6</output>
<result>A</result> | A | 6 | For the symbol, m”n=n^2−m for all values of m and n. What is the value of 3”3? | {
"A": "6",
"B": "3",
"C": "2",
"D": "1",
"E": "0"
} | subtract(power(3, 2), 3) | power(n2,n0)|subtract(#0,n1)| | "3 ” 3 = 9 - 3 = 6 answer : a" | general |
math_qa__aiuvKHf61W9QeqAw | A river 3m deep and 32 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is? Answers:
A) 4500 B) 3200 C) 3400 D) 2761 E) 2882 | <gadget id="calculator">3 * 32</gadget>
<output>96</output>
<gadget id="calculator">2 * 1_000</gadget>
<output>2_000</output>
<gadget id="calculator">96 * 2_000</gadget>
<output>192_000</output>
<gadget id="calculator">1 * 60</gadget>
<output>60</output>
<gadget id="calculator">192_000 / 60</gadget>
<output>3_200</output>
<result>B</result> | B | 3,200 | A river 3m deep and 32 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is? | {
"A": "4500",
"B": "3200",
"C": "3400",
"D": "2761",
"E": "2882"
} | divide(multiply(multiply(3, 32), multiply(2, const_1000)), multiply(const_1, const_60)) | multiply(n0,n1)|multiply(n2,const_1000)|multiply(const_1,const_60)|multiply(#0,#1)|divide(#3,#2)| | "( 2000 * 3 * 32 ) / 60 = 3200 m 3 answer : b" | physics |
math_qa__UBRMCzFpsqMYiLFo | If a 7 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes? Choices:
A) 140 % B) 350 % C) 450 % D) 600 % E) 700 % | <gadget id="calculator">6 * (1 ** 2)</gadget>
<output>6</output>
<gadget id="calculator">6 * (7 ** 2)</gadget>
<output>294</output>
<gadget id="calculator">6 * 294</gadget>
<output>1_764</output>
<gadget id="calculator">1_764 / 294</gadget>
<output>6</output>
<gadget id="calculator">100 * 6</gadget>
<output>600</output>
<result>D</result> | D | 600 | If a 7 cm cube is cut into 1 cm cubes, then what is the percentage increase in the surface area of the resulting cubes? | {
"A": "140 %",
"B": "350 %",
"C": "450 %",
"D": "600 %",
"E": "700 %"
} | multiply(const_100, divide(multiply(surface_cube(1), surface_cube(7)), surface_cube(7))) | surface_cube(n1)|surface_cube(n0)|multiply(#0,#1)|divide(#2,#1)|multiply(#3,const_100) | the area a of the large cube is 7 * 7 * 6 = 294 square cm . the area of the 343 small cubes is 7 * 7 * 7 * 6 = 7 a , an increase of 600 % . the answer is d . | geometry |
math_qa__RyIPbOVjJ8muykRC | A student chose a number, multiplied it by 4, then subtracted 142 from the result and got 110. What was the number he chose?
Choose the correct option:
A) 58
B) 59
C) 60
D) 62
E) 63 | <gadget id="calculator">110 + 142</gadget>
<output>252</output>
<gadget id="calculator">252 / 4</gadget>
<output>63</output>
<result>E</result> | E | 63 | A student chose a number, multiplied it by 4, then subtracted 142 from the result and got 110. What was the number he chose? | {
"A": "58",
"B": "59",
"C": "60",
"D": "62",
"E": "63"
} | divide(add(110, 142), 4) | add(n1,n2)|divide(#0,n0)| | "let x be the number he chose , then 4 ⋅ x − 142 = 110 4 x = 252 x = 63 correct answer e" | general |
math_qa__k5j7fWh9vQZZfwQL | A merchant purchased a jacket for $56 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale? Choices: A) $ 0 B) $ 8 C) $ 4 D) $ 12 E) $ 15 | <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">56 / (7/10)</gadget>
<output>80</output>
<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 * (4/5)</gadget>
<output>64</output>
<gadget id="calculator">64 - 56</gadget>
<output>8</output>
<result>B</result> | B | 8 | A merchant purchased a jacket for $56 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 30 percent of the selling price. During a sale, the merchant discounted the selling price by 20 percent and sold the jacket. What was the merchant’s gross profit on this sale? | {
"A": "$ 0",
"B": "$ 8",
"C": "$ 4",
"D": "$ 12",
"E": "$ 15"
} | subtract(multiply(divide(56, subtract(const_1, divide(30, const_100))), subtract(const_1, divide(20, const_100))), 56) | divide(n1,const_100)|divide(n2,const_100)|subtract(const_1,#0)|subtract(const_1,#1)|divide(n0,#2)|multiply(#4,#3)|subtract(#5,n0)| | "actual cost = $ 56 sp = actual cost + mark up = actual cost + 30 % sp = 56 * 100 / 70 on sale sp = 80 / 100 ( 56 * 100 / 70 ) = 64 gross profit = $ 8 answer is b" | gain |
math_qa__Lq4Qv8xWWjrhpXOm | A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it?
Choose the correct choice from the following answers
A) 33 B) 77 C) 24 D) 55 E) 71 | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">9 / 6</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">9 / 3</gadget>
<output>3</output>
<gadget id="calculator">9 / 4</gadget>
<output>9/4 = around 2.25</output>
<gadget id="calculator">3 + (9/4)</gadget>
<output>21/4 = around 5.25</output>
<gadget id="calculator">(3/2) + (21/4)</gadget>
<output>27/4 = around 6.75</output>
<gadget id="calculator">(27/4) / 2</gadget>
<output>27/8 = around 3.375</output>
<gadget id="calculator">(27/8) - 3</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">9 / (3/8)</gadget>
<output>24</output>
<result>C</result> | C | 24 | A and B can do a piece of work in 3 days, B and C in 4 days, C and A in 6 days. How long will C take to do it? | {
"A": "33",
"B": "77",
"C": "24",
"D": "55",
"E": "71"
} | divide(multiply(3, const_3), subtract(divide(add(divide(multiply(3, const_3), 6), add(divide(multiply(3, const_3), 3), divide(multiply(3, const_3), 4))), const_2), divide(multiply(3, const_3), 3))) | multiply(n0,const_3)|divide(#0,n0)|divide(#0,n1)|divide(#0,n2)|add(#1,#2)|add(#4,#3)|divide(#5,const_2)|subtract(#6,#1)|divide(#0,#7)| | "2 c = ¼ + 1 / 6 – 1 / 3 = 1 / 12 c = 1 / 24 = > 24 days answer : c" | physics |
math_qa__DWe3m15MXvDCqd29 | The current in a river is 3 mph. A boat can travel 21 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours?
Pick one:
A) 69 miles B) 88 miles C) 96 miles D) 102.8 miles E) 112 miles | <gadget id="calculator">21 - 3</gadget>
<output>18</output>
<gadget id="calculator">21 + 3</gadget>
<output>24</output>
<gadget id="calculator">18 * 24</gadget>
<output>432</output>
<gadget id="calculator">432 * 10</gadget>
<output>4_320</output>
<gadget id="calculator">24 + 18</gadget>
<output>42</output>
<gadget id="calculator">4_320 / 42</gadget>
<output>720/7 = around 102.857143</output>
<result>D</result> | D | 102.8 | The current in a river is 3 mph. A boat can travel 21 mph in still water. How far up the river can the boat travel if the round trip is to take 10 hours? | {
"A": "69 miles",
"B": "88 miles",
"C": "96 miles",
"D": "102.8 miles",
"E": "112 miles"
} | divide(multiply(multiply(subtract(21, 3), add(21, 3)), 10), add(add(21, 3), subtract(21, 3))) | add(n0,n1)|subtract(n1,n0)|add(#0,#1)|multiply(#0,#1)|multiply(n2,#3)|divide(#4,#2)| | "upstream speed = 21 - 3 = 18 mph downstream speed = 21 + 3 = 24 mph d / 18 + d / 24 = 10 hours solving for d we get d = 102.8 answer : d" | physics |
math_qa__PJBhXHwmx34e1Ffi | If Leo gains 10 pounds, he will weigh 50% more than his sister Kendra. Currently their combined weight is 180 pounds. What is Leo's current weight? Choose the correct choice from the following choices
A) 80 B) 86 C) 92 D) 98 E) 104 | <gadget id="calculator">100 + 50</gadget>
<output>150</output>
<gadget id="calculator">150 / 100</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">180 * (3/2)</gadget>
<output>270</output>
<gadget id="calculator">270 - 10</gadget>
<output>260</output>
<gadget id="calculator">(3/2) + 1</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">260 / (5/2)</gadget>
<output>104</output>
<result>E</result> | E | 104 | If Leo gains 10 pounds, he will weigh 50% more than his sister Kendra. Currently their combined weight is 180 pounds. What is Leo's current weight? | {
"A": "80",
"B": "86",
"C": "92",
"D": "98",
"E": "104"
} | divide(subtract(multiply(180, divide(add(const_100, 50), const_100)), 10), add(divide(add(const_100, 50), const_100), const_1)) | add(n1,const_100)|divide(#0,const_100)|add(#1,const_1)|multiply(n2,#1)|subtract(#3,n0)|divide(#4,#2) | l + k = 180 and so k = 180 - l l + 10 = 1.5 k = 1.5 ( 180 - l ) 2.5 l = 260 l = 104 the answer is e . | gain |
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