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stringlengths 7
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math_qa__rE8tV9sL8lP0z8kx | The average weight of 8 persons increases by 1.5kg when a person weighting 65kg is replaced by a new person. What could be the weight of the new person? Choices:
A) 67 kg
B) 77 kg
C) 87 kg
D) 97 kg
E) none of these | <gadget id="calculator">8 * 1.5</gadget>
<output>12</output>
<gadget id="calculator">65 + 12</gadget>
<output>77</output>
<result>B</result> | B | 77 | The average weight of 8 persons increases by 1.5kg when a person weighting 65kg is replaced by a new person. What could be the weight of the new person? | {
"A": "67 kg",
"B": "77 kg",
"C": "87 kg",
"D": "97 kg",
"E": "none of these"
} | add(65, multiply(8, 1.5)) | multiply(n0,n1)|add(n2,#0)| | "explanation : let the average weight of 8 persons be ‘ x ’ years and the age of the new person be ‘ y ’ years so , ( 8 x – 65 + y ) / 8 = x + 1.5 so , y = 77 kgs 65 + 8 x 1.5 = 77 kgs answer b" | general |
math_qa__dwQnFY2XThhspiyT | What is the remainder when (71)(73) is divided by 8?
Select: A) 1 B) 2 C) 4 D) 5 E) 7 | <gadget id="calculator">73 * 71</gadget>
<output>5_183</output>
<gadget id="calculator">5_183 % 8</gadget>
<output>7</output>
<result>E</result> | E | 7 | What is the remainder when (71)(73) is divided by 8? | {
"A": "1",
"B": "2",
"C": "4",
"D": "5",
"E": "7"
} | reminder(multiply(73, 71), 8) | multiply(n0,n1)|reminder(#0,n2)| | "( 71 ) ( 73 ) = ( 72 - 1 ) ( 72 + 1 ) = 72 ^ 2 - 1 which is 1 less than a multiple of 8 . then the remainder will be 7 . the answer is e ." | general |
math_qa__LVAJzmqHH148bhMj | If the product of 8 integers is negative, at most how many of the integers can be negative? Choose the correct choice from the following:
A) 2
B) 3
C) 4
D) 5
E) 7 | <gadget id="calculator">8 - 1</gadget>
<output>7</output>
<result>E</result> | E | 7 | If the product of 8 integers is negative, at most how many of the integers can be negative? | {
"A": "2",
"B": "3",
"C": "4",
"D": "5",
"E": "7"
} | subtract(8, const_1) | subtract(n0,const_1)| | "the product of 8 integers is negative thus an odd number of integers need to be negative to have a negative product we are asked at most how many are required . so , the highest odd integer before 6 , i . e . 7 correct option : e" | general |
math_qa__3biFllXn5f5F7JJw | Shopkeeper rise price by 35% and gives successive discount of 10% and 15%. What is overall % gain or loss? Options:
A) 5.275 % B) 4.275 % C) 3.275 % D) 6.275 % E) 7.275 % | <gadget id="calculator">100 + 35</gadget>
<output>135</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">135 * (9/10)</gadget>
<output>243/2 = around 121.5</output>
<gadget id="calculator">100 - 15</gadget>
<output>85</output>
<gadget id="calculator">85 / 100</gadget>
<output>17/20 = around 0.85</output>
<gadget id="calculator">(243/2) * (17/20)</gadget>
<output>4_131/40 = around 103.275</output>
<gadget id="calculator">(4_131/40) - 100</gadget>
<output>131/40 = around 3.275</output>
<result>C</result> | C | 3.275 | Shopkeeper rise price by 35% and gives successive discount of 10% and 15%. What is overall % gain or loss? | {
"A": "5.275 %",
"B": "4.275 %",
"C": "3.275 %",
"D": "6.275 %",
"E": "7.275 %"
} | subtract(multiply(multiply(add(const_100, 35), divide(subtract(const_100, 10), const_100)), divide(subtract(const_100, 15), const_100)), const_100) | add(n0,const_100)|subtract(const_100,n2)|subtract(const_100,n1)|divide(#1,const_100)|divide(#2,const_100)|multiply(#0,#4)|multiply(#3,#5)|subtract(#6,const_100)| | "let d initial price be 100 35 % rise now price = 135 / 100 * 100 = 135 10 % discount then price = 135 * 90 / 100 = 121.5 15 % discount then price = 121.5 * 85 / 100 = 103.275 so gain = 103.275 - 100 = 3.275 gain % = gain * 100 / cp = = > 3.275 * 100 / 100 = 3.275 % answer : c" | gain |
math_qa__me99PmO4vqfS7F5g | A briefcase has a number-lock system containing a combination of 3 digits (Each digit can be of numbers 0 to 8). If the correct combination is unknown, how much maximum time would be required to open the bag if each “trial” of combination takes 3 seconds? Choose the correct answer:
A) 36.45 minutes B) 36.47 minutes C) 36.41 minutes D) 36.42 minutes E) 36.65 minutes | <gadget id="calculator">8 + 1</gadget>
<output>9</output>
<gadget id="calculator">9 * 9</gadget>
<output>81</output>
<gadget id="calculator">81 * 9</gadget>
<output>729</output>
<gadget id="calculator">729 * 3</gadget>
<output>2_187</output>
<gadget id="calculator">2_187 / 60</gadget>
<output>729/20 = around 36.45</output>
<result>A</result> | A | 36.45 | A briefcase has a number-lock system containing a combination of 3 digits (Each digit can be of numbers 0 to 8). If the correct combination is unknown, how much maximum time would be required to open the bag if each “trial” of combination takes 3 seconds? | {
"A": "36.45 minutes",
"B": "36.47 minutes",
"C": "36.41 minutes",
"D": "36.42 minutes",
"E": "36.65 minutes"
} | divide(multiply(multiply(multiply(add(8, const_1), add(8, const_1)), add(8, const_1)), 3), const_60) | add(n2,const_1)|multiply(#0,#0)|multiply(#0,#1)|multiply(n0,#2)|divide(#3,const_60) | explanation : maximum number of trials required = 9 * 9 * 9 = 729 . since for each combination trial , 3 seconds are required to open the briefcase is given as 3 * 729 = 2187 seconds = 36.45 minutes . answer : a | general |
math_qa__g4eQ7vySZLSbWo3O | A driver just filled the car's gas tank with 27 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance?
Choose the correct choice from the following choices:
A) 1.2 B) 1.5 C) 1.8 D) 2.1 E) 2.4 | <gadget id="calculator">27 * 5</gadget>
<output>135</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">135 / 90</gadget>
<output>3/2 = around 1.5</output>
<result>B</result> | B | 1.5 | A driver just filled the car's gas tank with 27 liters of gasohol, a mixture consisting of 5% ethanol and 95% gasoline. If the car runs best on a mixture consisting of 10% ethanol and 90% gasoline, how many liters of ethanol must be added into the gas tank for the car to achieve optimum performance? | {
"A": "1.2",
"B": "1.5",
"C": "1.8",
"D": "2.1",
"E": "2.4"
} | divide(multiply(27, 5), subtract(const_100, 10)) | multiply(n0,n1)|subtract(const_100,n3)|divide(#0,#1) | let x be the number of liters of ethanol added to the gas tank . 0.05 ( 27 ) + x = 0.1 ( 27 + x ) 0.9 x = 2.7 - 1.35 = 1.35 x = 1.5 liters the answer is b . | general |
math_qa__rf9Mmqd5mn0l8GZb | If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 8000 in a long term bond that pays 4 percent interest, compounded annually, what will be the approximate total amount of investment 36 years later, when Pat is ready for college? Options
A) $ 20000 B) $ 15000 C) $ 32000 D) $ 10000 E) $ 9000 | <gadget id="calculator">8_000 * 2</gadget>
<output>16_000</output>
<gadget id="calculator">16_000 * 2</gadget>
<output>32_000</output>
<result>C</result> | C | 32,000 | If money is invested at r percent interest, compounded annually, the amount of investment will double in approximately 70/r years. If Pat's parents invested $ 8000 in a long term bond that pays 4 percent interest, compounded annually, what will be the approximate total amount of investment 36 years later, when Pat is ready for college? | {
"A": "$ 20000",
"B": "$ 15000",
"C": "$ 32000",
"D": "$ 10000",
"E": "$ 9000"
} | multiply(multiply(8000, const_2), const_2) | multiply(n1,const_2)|multiply(#0,const_2)| | "since investment doubles in 70 / r years then for r = 4 it ' ll double in 70 / 4 = ~ 18 years ( we are not asked about the exact amount so such an approximation will do ) . thus in 36 years investment will double twice and become ( $ 8,000 * 2 ) * 2 = $ 32,000 ( after 18 years investment will become $ 8,000 * 2 = $ 16,000 and in another 18 years it ' ll become $ 16,000 * 2 = $ 32,000 ) . answer : c ." | general |
math_qa__QNEn54pPekPCUbSh | Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 600 kms and City A and City C is 460 kms. What is the ratio of their average speed of travel? (Eddy: Freddy)
Choose the correct option:
A) 8 / 3
B) 3 / 8
C) 8 / 5
D) 5 / 8
E) 40 / 23 | <gadget id="calculator">600 / 3</gadget>
<output>200</output>
<gadget id="calculator">460 / 4</gadget>
<output>115</output>
<gadget id="calculator">200 / 115</gadget>
<output>40/23 = around 1.73913</output>
<result>E</result> | E | 1.73913 | Eddy and Freddy start simultaneously from city A and they travel to City B and City C respectively. Eddy takes 3 hours and Freddy takes 4 hours to complete the journey. If the distance between City A and City B is 600 kms and City A and City C is 460 kms. What is the ratio of their average speed of travel? (Eddy: Freddy) | {
"A": "8 / 3",
"B": "3 / 8",
"C": "8 / 5",
"D": "5 / 8",
"E": "40 / 23"
} | divide(divide(600, 3), divide(460, 4)) | divide(n2,n0)|divide(n3,n1)|divide(#0,#1)| | "distance traveled by eddy = 600 km time taken by eddy = 3 hours average speed of eddy = 600 / 3 = 200 km / hour distance traveled by freddy = 460 km time taken by freddy = 4 hours average speed of freddy = 460 / 4 = 115 km / hour ratio of average speed of eddy to freddy = 200 / 115 = 40 / 23 answer e" | physics |
math_qa__YQsZp9yP0zvR8dFN | In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 42 as quotient. What is the correct quotient ? Pick one
A) 0
B) 12
C) 13
D) 20
E) 24 | <gadget id="calculator">12 * 42</gadget>
<output>504</output>
<gadget id="calculator">504 / 21</gadget>
<output>24</output>
<result>E</result> | E | 24 | In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 42 as quotient. What is the correct quotient ? | {
"A": "0",
"B": "12",
"C": "13",
"D": "20",
"E": "24"
} | divide(multiply(12, 42), 21) | multiply(n1,n3)|divide(#0,n2)| | "12 * 42 = 504 504 % 21 = 24 answer : e" | general |
math_qa__Bnft1EsNEEs4BHeY | The owner of a furniture shop charges his customer 60% more than the cost price. If a customer paid Rs. 1000 for a computer table, then what was the cost price of the computer table?
Choices
A) 750 B) 650 C) 625 D) 115 E) 400 | <gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 + (3/5)</gadget>
<output>8/5 = around 1.6</output>
<gadget id="calculator">1_000 / (8/5)</gadget>
<output>625</output>
<result>B</result> | B | 650 | The owner of a furniture shop charges his customer 60% more than the cost price. If a customer paid Rs. 1000 for a computer table, then what was the cost price of the computer table? | {
"A": "750",
"B": "650",
"C": "625",
"D": "115",
"E": "400"
} | divide(1000, add(const_1, divide(60, const_100))) | divide(n0,const_100)|add(#0,const_1)|divide(n1,#1)| | "cp = sp * ( 100 / ( 100 + profit % ) ) = 1000 ( 100 / 160 ) = rs . 625 . answer : b" | gain |
math_qa__F734LTbjOjRccN5F | One-third of 1206 is what percent of 200? Choose the correct choice from the following choices.
A) 3 B) 201 C) 300 D) none of these E) can not be determined | <gadget id="calculator">1_206 / 3</gadget>
<output>402</output>
<gadget id="calculator">402 / 200</gadget>
<output>201/100 = around 2.01</output>
<gadget id="calculator">100 * (201/100)</gadget>
<output>201</output>
<result>B</result> | B | 201 | One-third of 1206 is what percent of 200? | {
"A": "3",
"B": "201",
"C": "300",
"D": "none of these",
"E": "can not be determined"
} | multiply(const_100, divide(divide(1206, const_3), 200)) | divide(n0,const_3)|divide(#0,n1)|multiply(#1,const_100)| | "answer let one - third of 1206 is n % of 200 . ∵ 1206 / 3 = ( n x 200 ) / 100 ∴ n = ( 402 x 100 ) / 200 = 201 correct option : b" | gain |
math_qa__xU5QyjdUqu811IZz | Machine P and Machine Q are each used to manufacture 660 sprockets. It takes Machine P 10 hours longer to produce 660 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce?
Choose the correct answer: A) 5 B) 15 C) 55 D) 95 E) 6 | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) + 1</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">660 / (11/10)</gadget>
<output>600</output>
<gadget id="calculator">660 - 600</gadget>
<output>60</output>
<gadget id="calculator">60 / 10</gadget>
<output>6</output>
<result>E</result> | E | 6 | Machine P and Machine Q are each used to manufacture 660 sprockets. It takes Machine P 10 hours longer to produce 660 sprockets than Machine Q. Machine Q produces 10% more sprockets per hour than Machine A. How many sprockets per hour does Machine A produce? | {
"A": "5",
"B": "15",
"C": "55",
"D": "95",
"E": "6"
} | divide(subtract(660, divide(660, add(divide(10, const_100), const_1))), 10) | divide(n1,const_100)|add(#0,const_1)|divide(n0,#1)|subtract(n0,#2)|divide(#3,n1)| | "p makes x sprockets per hour . then q makes 1.1 x sprockets per hour . 660 / x = 660 / 1.1 x + 10 1.1 ( 660 ) = 660 + 11 x 11 x = 66 x = 6 the answer is e ." | gain |
math_qa__Pceon1Zb7R6c82QE | What is the sum of the 1st 6 prime numbers greater than 10?
Pick:
A) 112 B) 111 C) 212 D) 115 E) 113 | <gadget id="calculator">1 + 10</gadget>
<output>11</output>
<gadget id="calculator">11 + 2</gadget>
<output>13</output>
<gadget id="calculator">11 + 13</gadget>
<output>24</output>
<gadget id="calculator">13 + 4</gadget>
<output>17</output>
<gadget id="calculator">24 + 17</gadget>
<output>41</output>
<gadget id="calculator">17 + 2</gadget>
<output>19</output>
<gadget id="calculator">41 + 19</gadget>
<output>60</output>
<gadget id="calculator">19 + 4</gadget>
<output>23</output>
<gadget id="calculator">60 + 23</gadget>
<output>83</output>
<gadget id="calculator">23 + 6</gadget>
<output>29</output>
<gadget id="calculator">83 + 29</gadget>
<output>112</output>
<result>A</result> | A | 112 | What is the sum of the 1st 6 prime numbers greater than 10? | {
"A": "112",
"B": "111",
"C": "212",
"D": "115",
"E": "113"
} | add(add(add(add(add(add(1, 10), add(add(1, 10), const_2)), add(add(add(1, 10), const_2), const_4)), add(add(add(add(1, 10), const_2), const_4), const_2)), add(add(add(add(add(1, 10), const_2), const_4), const_2), const_4)), add(add(add(add(add(add(1, 10), const_2), const_4), const_2), const_4), 6)) | add(n0,n2)|add(#0,const_2)|add(#0,#1)|add(#1,const_4)|add(#2,#3)|add(#3,const_2)|add(#4,#5)|add(#5,const_4)|add(#6,#7)|add(n1,#7)|add(#8,#9) | required numbers are = ( 11 + 13 + 17 + 19 + 23 + 29 ) = 112 note : 1 is not a prime number answer a | general |
math_qa__723u0b7pqcRK1MVK | A, B and C can do a piece of work in 9 days, 14 days and 28 days respectively. How long will they taken, if all the three work together? Choose the correct choice from the following
A) 4.12 days B) 4.52 days C) 3.52 days D) 2.52 days E) 4.92 days | <gadget id="calculator">1 / 28</gadget>
<output>1/28 = around 0.035714</output>
<gadget id="calculator">1 / 9</gadget>
<output>1/9 = around 0.111111</output>
<gadget id="calculator">1 / 14</gadget>
<output>1/14 = around 0.071429</output>
<gadget id="calculator">(1/9) + (1/14)</gadget>
<output>23/126 = around 0.18254</output>
<gadget id="calculator">(1/28) + (23/126)</gadget>
<output>55/252 = around 0.218254</output>
<gadget id="calculator">1 / (55/252)</gadget>
<output>252/55 = around 4.581818</output>
<result>B</result> | B | 4.52 | A, B and C can do a piece of work in 9 days, 14 days and 28 days respectively. How long will they taken, if all the three work together? | {
"A": "4.12 days",
"B": "4.52 days",
"C": "3.52 days",
"D": "2.52 days",
"E": "4.92 days"
} | inverse(add(inverse(28), add(inverse(9), inverse(14)))) | inverse(n0)|inverse(n1)|inverse(n2)|add(#0,#1)|add(#3,#2)|inverse(#4) | 1 / 9 + 1 / 14 + 1 / 28 = 55 / 252 = > 252 / 55 days = > 4.52 days answer : b | physics |
math_qa__ZY0OyILFfZL7LTZc | In a division sum, the divisor is 12 times the quotient and 6 times the remainder. If the remainder is 24, what is the divident? Choose the most appropriate option.
A) 1738 B) 1752 C) 1846 D) 1648 E) none | <gadget id="calculator">6 * 24</gadget>
<output>144</output>
<gadget id="calculator">144 / 12</gadget>
<output>12</output>
<gadget id="calculator">144 * 12</gadget>
<output>1_728</output>
<result>B</result> | B | 1,752 | In a division sum, the divisor is 12 times the quotient and 6 times the remainder. If the remainder is 24, what is the divident? | {
"A": "1738",
"B": "1752",
"C": "1846",
"D": "1648",
"E": "none"
} | multiply(multiply(6, 24), divide(multiply(6, 24), 12)) | multiply(n1,n2)|divide(#0,n0)|multiply(#1,#0)| | "solution : dividend = [ divisor * quotient ] + remainder - - - - > ( 1 ) . given divisor = 6 * 24 = 144 . 12 * quotient = 144 = > quotient = 144 / 12 = 12 . substitute these values in the ( 1 ) then we get 1752 as dividend . answer b" | general |
math_qa__f8joRGnLtsAgBSAL | To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 775 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”? Pick one.
A) 191 B) 194 C) 193 D) 212 E) 213 | <gadget id="calculator">775 / 4</gadget>
<output>775/4 = around 193.75</output>
<result>B</result> | B | 194 | To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 775 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”? | {
"A": "191",
"B": "194",
"C": "193",
"D": "212",
"E": "213"
} | divide(775, 4) | divide(n3,n1)| | "total movies submitted are 775 . as per question we need to take 1 / 4 of 775 to be considered for top 10 movies = 193.75 approximate the value we 194 . imo option b is the correct answer . . ." | general |
math_qa__8HkQICjc8AAMR9Dv | A certain characteristic in a large population has a distribution that is symmetric about the mean a. If 68% of the distribution lies one standard deviation d of the mean, what percent of the distribution is less than a+d? Choices:
A) 16 % B) 32 % C) 48 % D) 84 % E) 92 % | <gadget id="calculator">100 - 68</gadget>
<output>32</output>
<gadget id="calculator">32 / 2</gadget>
<output>16</output>
<gadget id="calculator">100 - 16</gadget>
<output>84</output>
<result>D</result> | D | 84 | A certain characteristic in a large population has a distribution that is symmetric about the mean a. If 68% of the distribution lies one standard deviation d of the mean, what percent of the distribution is less than a+d? | {
"A": "16 %",
"B": "32 %",
"C": "48 %",
"D": "84 %",
"E": "92 %"
} | subtract(const_100, divide(subtract(const_100, 68), const_2)) | subtract(const_100,n0)|divide(#0,const_2)|subtract(const_100,#1)| | "16 % ________________________________________________ a + d 34 % ________________________________________________ a 34 % ________________________________________________ a - d 16 % since 68 % lies one standard deviation from mean a , = > 50 % of 68 % lies on either side as it is symmetric about a . thus 16 % lie below a - d and 16 % lie above a + d now below a + d = 16 + 34 + 34 = 84 % hence d" | general |
math_qa__5iKZ0ZuGhdYtSoD7 | If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/8, then what is the value of abc/def ? Choose one.
A) 27 / 4 B) 27 / 8 C) 3 / 4 D) 3 / 16 E) 1 / 4 | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">3 * 8</gadget>
<output>24</output>
<gadget id="calculator">2 * 24</gadget>
<output>48</output>
<gadget id="calculator">9 / 48</gadget>
<output>3/16 = around 0.1875</output>
<result>D</result> | D | 0.1875 | If a/b = 1/3, b/c = 2, c/d = 1/2, d/e = 3 and e/f = 1/8, then what is the value of abc/def ? | {
"A": "27 / 4",
"B": "27 / 8",
"C": "3 / 4",
"D": "3 / 16",
"E": "1 / 4"
} | divide(multiply(3, 3), multiply(2, multiply(3, 8))) | multiply(n1,n1)|multiply(n1,n7)|multiply(n2,#1)|divide(#0,#2)| | "say a = 2 . then : a / b = 1 / 3 - - > b = 6 ; b / c = 2 - - > c = 3 ; c / d = 1 / 2 - - > d = 6 ; d / e = 3 - - > e = 2 ; e / f = 1 / 8 - - > f = 16 . abc / def = ( 2 * 6 * 3 ) / ( 6 * 2 * 16 ) = 3 / 16 . answer : d ." | general |
math_qa__j5wLSFGCLjoWxsct | Share Rs.4320 among John, Jose & Binoy in the ration 2 : 4 : 6.Find the amount received by John?
Choose the correct choice from the following choices
A) 900 B) 980 C) 1200 D) 1240 E) 1440 | <gadget id="calculator">4_320 / 2</gadget>
<output>2_160</output>
<gadget id="calculator">4_320 / 6</gadget>
<output>720</output>
<gadget id="calculator">2_160 - 720</gadget>
<output>1_440</output>
<result>E</result> | E | 1,440 | Share Rs.4320 among John, Jose & Binoy in the ration 2 : 4 : 6.Find the amount received by John? | {
"A": "900",
"B": "980",
"C": "1200",
"D": "1240",
"E": "1440"
} | subtract(divide(4320, 2), divide(4320, 6)) | divide(n0,n1)|divide(n0,n3)|subtract(#0,#1)| | "amount received by sanjay . 4 / 12 x 4320 = 1440 = ( related ratio / sum of ratio ) x total amount so , the amount received by sanjay is 1440 . e" | other |
math_qa__VCS4fjbH6bQuMaAv | Tom purchased 8kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper? Choose the correct answer
A) 1040
B) 1045
C) 1055
D) 1060
E) 1075 | <gadget id="calculator">8 * 70</gadget>
<output>560</output>
<gadget id="calculator">9 * 55</gadget>
<output>495</output>
<gadget id="calculator">560 + 495</gadget>
<output>1_055</output>
<result>C</result> | C | 1,055 | Tom purchased 8kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper? | {
"A": "1040",
"B": "1045",
"C": "1055",
"D": "1060",
"E": "1075"
} | add(multiply(8, 70), multiply(9, 55)) | multiply(n0,n1)|multiply(n2,n3)|add(#0,#1)| | "cost of 8 kg apples = 70 × 8 = 560 . cost of 9 kg of mangoes = 55 × 9 = 490 . total cost he has to pay = 560 + 490 = 1055 . c )" | gain |
math_qa__auRwYmqXQDHJThyg | A car traveling at a certain constant speed takes 10 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 40 kilometers per hour. At what speed, in kilometers per hour, is the car traveling? Choose the correct choice from the following options:
A) 35 B) 35.5 C) 36 D) 36.5 E) 37 | <gadget id="calculator">1 / 40</gadget>
<output>1/40 = around 0.025</output>
<gadget id="calculator">3_600 * (1/40)</gadget>
<output>90</output>
<gadget id="calculator">90 + 10</gadget>
<output>100</output>
<gadget id="calculator">100 / 3_600</gadget>
<output>1/36 = around 0.027778</output>
<gadget id="calculator">1 / (1/36)</gadget>
<output>36</output>
<result>C</result> | C | 36 | A car traveling at a certain constant speed takes 10 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 40 kilometers per hour. At what speed, in kilometers per hour, is the car traveling? | {
"A": "35",
"B": "35.5",
"C": "36",
"D": "36.5",
"E": "37"
} | divide(1, divide(add(multiply(const_3600, divide(1, 40)), 10), const_3600)) | divide(n1,n3)|multiply(#0,const_3600)|add(n0,#1)|divide(#2,const_3600)|divide(n1,#3)| | "40 * t = 1 km = > t = 1 / 40 km / h v * ( t + 10 / 3600 ) = 1 v ( 1 / 40 + 10 / 3600 ) = 1 v ( 100 / 3600 ) = 1 v = 36 km / h the answer is c ." | physics |
math_qa__wapYvEAmb27NLqr3 | A camera lens filter kit containing 5 filters sells for $87.50. If the filters are purchased individually, 2 of them are priced at $16.45 each, 2 at $14.05 each, 1 at $19.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually? Choose the correct answer
A) 7 % B) 8 % C) 9 % D) 10 % E) 11 % | <gadget id="calculator">2 * 16.45</gadget>
<output>32.9</output>
<gadget id="calculator">2 * 14.05</gadget>
<output>28.1</output>
<gadget id="calculator">32.9 + 28.1</gadget>
<output>61</output>
<gadget id="calculator">19.5 + 61</gadget>
<output>80.5</output>
<gadget id="calculator">87.5 - 80.5</gadget>
<output>7</output>
<gadget id="calculator">7 * 100</gadget>
<output>700</output>
<gadget id="calculator">700 / 87.5</gadget>
<output>8</output>
<result>B</result> | B | 8 | A camera lens filter kit containing 5 filters sells for $87.50. If the filters are purchased individually, 2 of them are priced at $16.45 each, 2 at $14.05 each, 1 at $19.50. The amount saved by purchasing the kit is what percent of the total price of the 5 filters purchased individually? | {
"A": "7 %",
"B": "8 %",
"C": "9 %",
"D": "10 %",
"E": "11 %"
} | divide(multiply(subtract(87.50, add(19.50, add(multiply(2, 16.45), multiply(2, 14.05)))), const_100), 87.50) | multiply(n2,n3)|multiply(n2,n5)|add(#0,#1)|add(n7,#2)|subtract(n1,#3)|multiply(#4,const_100)|divide(#5,n1)| | "cost of kit = $ 87.50 if filters are purchased individually - $ 16.45 * 2 + $ 14.05 * 2 + $ 19.50 = $ 80.50 amount saved = $ 87.50 - $ 80.50 = $ 7 required % age = ( $ 7 / $ 87.50 ) * 100 = 8 % so , the correct answer is b ." | general |
math_qa__2v4wf09kUlSfEuDQ | A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water? Pick one
A) 3
B) 8
C) 9
D) 4
E) 2 | <gadget id="calculator">18 / 3</gadget>
<output>6</output>
<gadget id="calculator">30 / 3</gadget>
<output>10</output>
<gadget id="calculator">6 + 10</gadget>
<output>16</output>
<gadget id="calculator">16 / 2</gadget>
<output>8</output>
<result>B</result> | B | 8 | A man swims downstream 30 km and upstream 18 km taking 3 hours each time, what is the speed of the man in still water? | {
"A": "3",
"B": "8",
"C": "9",
"D": "4",
"E": "2"
} | divide(add(divide(18, 3), divide(30, 3)), const_2) | divide(n1,n2)|divide(n0,n2)|add(#0,#1)|divide(#2,const_2) | 30 - - - 3 ds = 10 ? - - - - 1 18 - - - - 3 us = 6 ? - - - - 1 m = ? m = ( 10 + 6 ) / 2 = 8 answer : b | physics |
math_qa__mUxmyvMUFoKnte1m | If A speaks the truth 75% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time Choose the most appropriate option:
A) 0.49
B) 0.48
C) 0.45
D) 0.482
E) 0.411 | <gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">20 * 5</gadget>
<output>100</output>
<gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/4) * (3/5)</gadget>
<output>9/20 = around 0.45</output>
<result>C</result> | C | 0.45 | If A speaks the truth 75% of the times, B speaks the truth 60% of the times. What is the probability that they tell the truth at the same time | {
"A": "0.49",
"B": "0.48",
"C": "0.45",
"D": "0.482",
"E": "0.411"
} | multiply(divide(75, multiply(multiply(const_4, const_5), const_5)), divide(60, multiply(multiply(const_4, const_5), const_5))) | multiply(const_4,const_5)|multiply(#0,const_5)|divide(n0,#1)|divide(n1,#1)|multiply(#2,#3)| | "explanation : probability that a speaks truth is 75 / 100 = 0.75 probability that b speaks truth is 60 / 100 = 0.6 since both a and b are independent of each other so probability of a intersection b is p ( a ) × p ( b ) = 0.75 × 0.6 = 0.45 answer : c" | gain |
math_qa__Kkpfn2GkpVhvBYGZ | What is the dividend. divisor 16, the quotient is 9 and the remainder is 5?
Pick
A) 130
B) 134
C) 149
D) 158
E) 160 | <gadget id="calculator">16 * 9</gadget>
<output>144</output>
<gadget id="calculator">144 + 5</gadget>
<output>149</output>
<result>C</result> | C | 149 | What is the dividend. divisor 16, the quotient is 9 and the remainder is 5? | {
"A": "130",
"B": "134",
"C": "149",
"D": "158",
"E": "160"
} | add(multiply(16, 9), 5) | multiply(n0,n1)|add(n2,#0)| | "d = d * q + r d = 16 * 9 + 5 d = 144 + 5 d = 149 answer c" | general |
math_qa__jzBnefReOc44SDmU | The charge for a single room at Hotel P is 40 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G ?
Options:
A) 15 % B) 20 % C) 40 % D) 50 % E) e . 150 % | <gadget id="calculator">100 - 40</gadget>
<output>60</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">60 / 90</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(2/3) * 100</gadget>
<output>200/3 = around 66.666667</output>
<gadget id="calculator">100 - (200/3)</gadget>
<output>100/3 = around 33.333333</output>
<gadget id="calculator">(100/3) / (200/3)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 100</gadget>
<output>50</output>
<result>D</result> | D | 50 | The charge for a single room at Hotel P is 40 percent less than the charge for a single room at Hotel R and 10 percent less than the charge for a single room at Hotel G. The charge for a single room at Hotel R is what percent greater than the charge for a single room at Hotel G ? | {
"A": "15 %",
"B": "20 %",
"C": "40 %",
"D": "50 %",
"E": "e . 150 %"
} | multiply(divide(subtract(const_100, multiply(divide(subtract(const_100, 40), subtract(const_100, 10)), const_100)), multiply(divide(subtract(const_100, 40), subtract(const_100, 10)), const_100)), const_100) | subtract(const_100,n0)|subtract(const_100,n1)|divide(#0,#1)|multiply(#2,const_100)|subtract(const_100,#3)|divide(#4,#3)|multiply(#5,const_100)| | "p = 0.6 r = 0.9 g r = 0.9 g / 0.6 = 1.5 * g thus r is 50 % greater than g . the answer is d ." | gain |
math_qa__2EDkfZgrFB5JM9Yq | In a group of cheerleaders, the group made of 10 males and 16 females. Every cheerleader gets to choose between a coke or malt. The number of those that choose malt is double the number that chose coke, If all the 6 males choose malt, how many females chose malt? Choose the correct answer
A) 30 B) 5 C) 8 D) 20 E) 10 | <gadget id="calculator">10 + 16</gadget>
<output>26</output>
<gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">26 / 3</gadget>
<output>26/3 = around 8.666667</output>
<gadget id="calculator">floor(26/3)</gadget>
<output>8</output>
<gadget id="calculator">16 - 8</gadget>
<output>8</output>
<result>C</result> | C | 8 | In a group of cheerleaders, the group made of 10 males and 16 females. Every cheerleader gets to choose between a coke or malt. The number of those that choose malt is double the number that chose coke, If all the 6 males choose malt, how many females chose malt? | {
"A": "30",
"B": "5",
"C": "8",
"D": "20",
"E": "10"
} | subtract(16, floor(divide(add(10, 16), add(const_2, const_1)))) | add(n0,n1)|add(const_1,const_2)|divide(#0,#1)|floor(#2)|subtract(n1,#3) | number of cheerleaders = 27 number of male = 10 number of female = 17 coke = 9 maly = 17 female who chose malt = 17 - 9 = 8 answer = c | other |
math_qa__asy1fEU4Wx7k88UG | If a certain number is divided by 5, the quotient, dividend, and divisor, added together, will amount to 65. What is the number?
Choose the correct choice from the following answers:
A) 18 B) 28 C) 48 D) 38 E) 50 | <gadget id="calculator">65 - 5</gadget>
<output>60</output>
<gadget id="calculator">60 * 5</gadget>
<output>300</output>
<gadget id="calculator">5 + 1</gadget>
<output>6</output>
<gadget id="calculator">300 / 6</gadget>
<output>50</output>
<result>E</result> | E | 50 | If a certain number is divided by 5, the quotient, dividend, and divisor, added together, will amount to 65. What is the number? | {
"A": "18",
"B": "28",
"C": "48",
"D": "38",
"E": "50"
} | divide(multiply(subtract(65, 5), 5), add(5, const_1)) | add(n0,const_1)|subtract(n1,n0)|multiply(n0,#1)|divide(#2,#0)| | "let x = the number sought . then x / 5 + x + 5 = 65 . x = 50 . e" | general |
math_qa__LUfneitGGKilZCPN | If T = 5/9 * (K - 32), and if T = 105, then what is the value of K?
Select the correct option: A) 209 B) 212 C) 215 D) 218 E) 221 | <gadget id="calculator">105 * 9</gadget>
<output>945</output>
<gadget id="calculator">945 / 5</gadget>
<output>189</output>
<gadget id="calculator">189 + 32</gadget>
<output>221</output>
<result>E</result> | E | 221 | If T = 5/9 * (K - 32), and if T = 105, then what is the value of K? | {
"A": "209",
"B": "212",
"C": "215",
"D": "218",
"E": "221"
} | add(divide(multiply(105, 9), 5), 32) | multiply(n1,n3)|divide(#0,n0)|add(n2,#1)| | "k - 32 = 9 t / 5 k = 9 t / 5 + 32 k = 9 ( 105 ) / 5 + 32 = 221 the answer is e ." | general |
math_qa__1a3QNxYvlWybvH9E | There were two candidates in an election. Winner candidate received 75% of votes and won the election by 500 votes. Find the number of votes casted to the winning candidate? Choose one:
A) 228
B) 744
C) 750
D) 199
E) 231 | <gadget id="calculator">100 - 75</gadget>
<output>25</output>
<gadget id="calculator">75 - 25</gadget>
<output>50</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">500 / (1/2)</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 * 75</gadget>
<output>75_000</output>
<gadget id="calculator">75_000 / 100</gadget>
<output>750</output>
<result>C</result> | C | 750 | There were two candidates in an election. Winner candidate received 75% of votes and won the election by 500 votes. Find the number of votes casted to the winning candidate? | {
"A": "228",
"B": "744",
"C": "750",
"D": "199",
"E": "231"
} | divide(multiply(divide(500, divide(subtract(75, subtract(const_100, 75)), const_100)), 75), const_100) | subtract(const_100,n0)|subtract(n0,#0)|divide(#1,const_100)|divide(n1,#2)|multiply(n0,#3)|divide(#4,const_100)| | "w = 75 % l = 25 % 75 % - 25 % = 50 % 50 % - - - - - - - - 500 75 % - - - - - - - - ? = > 750 answer : c" | gain |
math_qa__PvaklICVpTs33h5e | If 170!/10^n is an integer, what is the largest possible value of n? Choose the correct choice from the following answers:
A) 47 B) 46 C) 41 D) 48 E) 45 | <gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">170 / 5</gadget>
<output>34</output>
<gadget id="calculator">34 / 5</gadget>
<output>34/5 = around 6.8</output>
<gadget id="calculator">(34/5) + 34</gadget>
<output>204/5 = around 40.8</output>
<result>C</result> | C | 41 | If 170!/10^n is an integer, what is the largest possible value of n? | {
"A": "47",
"B": "46",
"C": "41",
"D": "48",
"E": "45"
} | add(divide(divide(170, add(const_4, const_1)), add(const_4, const_1)), divide(170, add(const_4, const_1))) | add(const_1,const_4)|divide(n0,#0)|divide(#1,#0)|add(#2,#1)| | "the question actually asks the highest power of 10 which divides 300 ! ( for a number to be an integer - without any remainder all the trailing zeroe ' s must be divided by the denominator ) 10 = 2 x 5 170 factorial will have 41 as - 170 / 5 = 34 34 / 5 = 6 6 / 5 = 1 so answer will be ( c ) 41" | general |
math_qa__z3TENpKZj0Fa8Bv4 | The ratio of spinsters to cats is 2 to 7. If there are 35 more cats than spinsters, how many spinsters are there?
Select the correct option.
A) 14 B) 21 C) 28 D) 35 E) 42 | <gadget id="calculator">7 - 2</gadget>
<output>5</output>
<gadget id="calculator">35 / 5</gadget>
<output>7</output>
<gadget id="calculator">7 * 2</gadget>
<output>14</output>
<result>A</result> | A | 14 | The ratio of spinsters to cats is 2 to 7. If there are 35 more cats than spinsters, how many spinsters are there? | {
"A": "14",
"B": "21",
"C": "28",
"D": "35",
"E": "42"
} | multiply(divide(35, subtract(7, 2)), 2) | subtract(n1,n0)|divide(n2,#0)|multiply(n0,#1) | let 2 x be the number of spinsters . then 7 x is the number of cats . 7 x - 2 x = 35 x = 7 and the number of spinsters is 2 ( 7 ) = 14 . the answer is a . | other |
math_qa__TkIS4i2a50pRa17r | Chris mixed 3 pounds of raisins with 3 pounds of nuts. If a pound of nuts costs 3 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture? Choose the correct answer
A) 1 / 7 B) 1 / 5 C) 1 / 4 D) 1 / 3 E) 3 / 7 | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">9 + 3</gadget>
<output>12</output>
<gadget id="calculator">3 / 12</gadget>
<output>1/4 = around 0.25</output>
<result>C</result> | C | 0.25 | Chris mixed 3 pounds of raisins with 3 pounds of nuts. If a pound of nuts costs 3 times as much as a pound of raisins, then the total cost of the raisins was what fraction of the total cost of the mixture? | {
"A": "1 / 7",
"B": "1 / 5",
"C": "1 / 4",
"D": "1 / 3",
"E": "3 / 7"
} | divide(3, add(multiply(3, 3), 3)) | multiply(n1,n2)|add(n0,#0)|divide(n0,#1)| | "1 lbs of raisin = $ 1 3 lbs of raisin = $ 3 1 lbs of nuts = $ 3 3 lbs of nuts = $ 9 total value of mixture = 9 + 3 = 12 fraction of the value of raisin = 3 / 12 = 1 / 4 ans : c" | general |
math_qa__zhPc3wlBDmHa0mbK | In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 9 percent of revenues. The profits in 2009 were what percent of the profits in 2008?
Choose the correct choice from the following.
A) 80 % B) 72 % C) 120 % D) 124.2 % E) 138 % | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">9 * (4/5)</gadget>
<output>36/5 = around 7.2</output>
<gadget id="calculator">(36/5) / 10</gadget>
<output>18/25 = around 0.72</output>
<gadget id="calculator">(18/25) * 100</gadget>
<output>72</output>
<result>B</result> | B | 72 | In 2008, the profits of Company N were 10 percent of revenues. In 2009, the revenues of Company N fell by 20 percent, but profits were 9 percent of revenues. The profits in 2009 were what percent of the profits in 2008? | {
"A": "80 %",
"B": "72 %",
"C": "120 %",
"D": "124.2 %",
"E": "138 %"
} | multiply(divide(multiply(9, subtract(const_1, divide(20, const_100))), 10), const_100) | divide(n3,const_100)|subtract(const_1,#0)|multiply(n4,#1)|divide(#2,n1)|multiply(#3,const_100)| | "x = profits r = revenue x / r = 0,1 x = 10 r = 100 2009 : r = 80 x / 80 = 0,09 = 9 / 100 x = 80 * 9 / 100 x = 7.2 7.2 / 10 = 0.72 = 72 % , answer b" | gain |
math_qa__4SNl2AeJmSBQ3kK5 | How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 4 m x 2 m x 25 cm?
Answers: A) 5600 B) 6000 C) 1185 D) 7200 E) 8600 | <gadget id="calculator">4 * 100</gadget>
<output>400</output>
<gadget id="calculator">2 * 100</gadget>
<output>200</output>
<gadget id="calculator">400 * 200</gadget>
<output>80_000</output>
<gadget id="calculator">80_000 * 25</gadget>
<output>2_000_000</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">2_000_000 / 1_687.5</gadget>
<output>1_185.185185</output>
<result>C</result> | C | 1,185 | How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 4 m x 2 m x 25 cm? | {
"A": "5600",
"B": "6000",
"C": "1185",
"D": "7200",
"E": "8600"
} | divide(multiply(multiply(multiply(4, const_100), multiply(2, const_100)), 25), multiply(multiply(25, 11.25), 6)) | multiply(n3,const_100)|multiply(n4,const_100)|multiply(n0,n1)|multiply(#0,#1)|multiply(n2,#2)|multiply(n5,#3)|divide(#5,#4)| | "number of bricks = volume of the wall / volume of 1 brick = ( 400 x 200 x 25 ) / ( 25 x 11.25 x 6 ) = 1185 . answer : option c" | physics |
math_qa__63nC2NkWHMNB5md0 | a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony . on a certain night , a total of 370 tickets were sold for a total cost of $ 3320 . how many more tickets were sold that night for seats in the balcony than for seats in the orchestra ? Choices:
A) 90
B) 190
C) 120
D) 130
E) 220 | <gadget id="calculator">8 * 370</gadget>
<output>2_960</output>
<gadget id="calculator">3_320 - 2_960</gadget>
<output>360</output>
<gadget id="calculator">12 - 8</gadget>
<output>4</output>
<gadget id="calculator">360 / 4</gadget>
<output>90</output>
<gadget id="calculator">370 - 90</gadget>
<output>280</output>
<gadget id="calculator">280 - 90</gadget>
<output>190</output>
<result>B</result> | B | 190 | a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony . on a certain night , a total of 370 tickets were sold for a total cost of $ 3320 . how many more tickets were sold that night for seats in the balcony than for seats in the orchestra ? | {
"A": "90",
"B": "190",
"C": "120",
"D": "130",
"E": "220"
} | subtract(subtract(370, divide(subtract(3320, multiply(8, 370)), subtract(12, 8))), divide(subtract(3320, multiply(8, 370)), subtract(12, 8))) | multiply(n1,n2)|subtract(n0,n1)|subtract(n3,#0)|divide(#2,#1)|subtract(n2,#3)|subtract(#4,#3) | orchestra seats - a balcony seats - b a + b = 370 and 12 a + 8 b = 3320 solving equations simultaneously ( multiply equation 1 with 8 and subtract from second equation ) 4 a = 3320 - 8 * 370 = 3320 - 2960 = 360 i . e . a = 90 and b = 370 - 90 = 280 more seats in balcony than orchestra = b - a = 280 - 90 = 190 answer : option b | general |
math_qa__ZzgGx72sI0v81pFv | If 4 consecutive letters are selected at random from the English alphabet, then the probability that one of the letters is a vowel is ?
Choose the correct choice from the following choices: A) 13 / 23 B) 16 / 23 C) 11 / 23 D) 17 / 23 E) 18 / 23 | <gadget id="calculator">26 - 3</gadget>
<output>23</output>
<gadget id="calculator">6 / 23</gadget>
<output>6/23 = around 0.26087</output>
<gadget id="calculator">1 - (6/23)</gadget>
<output>17/23 = around 0.73913</output>
<result>D</result> | D | 0.73913 | If 4 consecutive letters are selected at random from the English alphabet, then the probability that one of the letters is a vowel is ? | {
"A": "13 / 23",
"B": "16 / 23",
"C": "11 / 23",
"D": "17 / 23",
"E": "18 / 23"
} | subtract(const_1, divide(const_6, subtract(const_26, const_3))) | subtract(const_26,const_3)|divide(const_6,#0)|subtract(const_1,#1) | total no . of ways of selecting 4 consecutive letters = > 23 [ like abcd , bcde , efgh , . . etc ] no . of ways of having one is a vowel = > abcd , bcde , cdef , defg , efgh , fghi , ghij , hijk , ijkl , lmno , mnop , nopq , opqr , rstu , stuv , tuvw , uvwx . . . = 17 p ( one of letter is vowel ) = 17 / 23 answer : d | probability |
math_qa__MrHpj8n6cWechmlc | How much 60% of 50 is greater than 50% of 30? Choose one.
A) 18 B) 91 C) 11 D) 17 E) 15 | <gadget id="calculator">60 * 50</gadget>
<output>3_000</output>
<gadget id="calculator">3_000 / 100</gadget>
<output>30</output>
<gadget id="calculator">50 * 30</gadget>
<output>1_500</output>
<gadget id="calculator">1_500 / 100</gadget>
<output>15</output>
<gadget id="calculator">30 - 15</gadget>
<output>15</output>
<result>E</result> | E | 15 | How much 60% of 50 is greater than 50% of 30? | {
"A": "18",
"B": "91",
"C": "11",
"D": "17",
"E": "15"
} | subtract(divide(multiply(60, 50), const_100), divide(multiply(50, 30), const_100)) | multiply(n0,n1)|multiply(n2,n3)|divide(#0,const_100)|divide(#1,const_100)|subtract(#2,#3)| | "( 60 / 100 ) * 50 – ( 50 / 100 ) * 30 30 - 15 = 15 answer : e" | gain |
math_qa__YHT1JAArKmNFUHzD | A pair of articles was bought for $50 at a discount of 10%. What must be the marked price of each of the article? Choose the correct choice from the following answers:
A) $ 25 B) $ 22.50 C) $ 29.65 D) $ 35.95 E) $ 45.62 | <gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">50 / 2</gadget>
<output>25</output>
<gadget id="calculator">90 * 25</gadget>
<output>2_250</output>
<gadget id="calculator">2_250 / 100</gadget>
<output>45/2 = around 22.5</output>
<result>B</result> | B | 22.5 | A pair of articles was bought for $50 at a discount of 10%. What must be the marked price of each of the article? | {
"A": "$ 25",
"B": "$ 22.50",
"C": "$ 29.65",
"D": "$ 35.95",
"E": "$ 45.62"
} | divide(multiply(subtract(const_100, 10), divide(50, const_2)), const_100) | divide(n0,const_2)|subtract(const_100,n1)|multiply(#0,#1)|divide(#2,const_100)| | "s . p . of each of the article = 50 / 2 = $ 25 let m . p = $ x 90 % of x = 25 x = 25 * . 9 = $ 22.50 answer is b" | gain |
math_qa__abj5lrpMlG7n5Ft6 | A meal cost $ 37.25 adn there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be: Pick:
A) 42 - 45
B) 41 - 43
C) 39 - 41
D) 37 - 39
E) 36 - 37 | <gadget id="calculator">37.25 * 10</gadget>
<output>372.5</output>
<gadget id="calculator">372.5 / 100</gadget>
<output>3.725</output>
<gadget id="calculator">3.725 + 37.25</gadget>
<output>40.975</output>
<result>B</result> | B | 41 | A meal cost $ 37.25 adn there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be: | {
"A": "42 - 45",
"B": "41 - 43",
"C": "39 - 41",
"D": "37 - 39",
"E": "36 - 37"
} | add(divide(multiply(37.25, 10), const_100), 37.25) | multiply(n0,n1)|divide(#0,const_100)|add(n0,#1)| | "10 % ( 37.25 ) = 3.725 15 % ( 37.25 ) = 5.5875 total amount could have been 37.25 + 3.725 and 37.25 + 5.5875 = > could have been between 40.975 and 42.8375 = > approximately between 41 and 43 answer is b ." | general |
math_qa__ZRm2PAcFoKiJscES | A train moves at average speed of 40kmph reaches its destination on time.what its average speed becomes 35kmph , then it reaches its destination 15 late. find the length of the journey? Select the correct option
A) 70 km
B) 85 km
C) 38 km
D) 14 km
E) 1 km | <gadget id="calculator">35 * 15</gadget>
<output>525</output>
<gadget id="calculator">40 - 35</gadget>
<output>5</output>
<gadget id="calculator">525 / 5</gadget>
<output>105</output>
<gadget id="calculator">105 / 60</gadget>
<output>7/4 = around 1.75</output>
<gadget id="calculator">(7/4) * 40</gadget>
<output>70</output>
<result>A</result> | A | 70 | A train moves at average speed of 40kmph reaches its destination on time.what its average speed becomes 35kmph , then it reaches its destination 15 late. find the length of the journey? | {
"A": "70 km",
"B": "85 km",
"C": "38 km",
"D": "14 km",
"E": "1 km"
} | multiply(divide(divide(multiply(35, 15), subtract(40, 35)), const_60), 40) | multiply(n1,n2)|subtract(n0,n1)|divide(#0,#1)|divide(#2,const_60)|multiply(n0,#3) | difference between timings = 15 mis = 1 / 4 hr let the length of the journey be x km . then x / 35 - x / 40 = 1 / 4 8 x - 7 x = 70 x = 70 km answer ( a ) | physics |
math_qa__T0QaHPqbKGwAed1L | If A lends Rs. 3500 to B at 10% p.a. and B lends the same sum to C at 11.5% p.a., then the gain of B (in Rs.) in a period of 3 years is Choose the correct choice from the following choices
A) rs . 154.50 B) rs . 155.50 C) rs . 156.50 D) rs . 157.50 E) none of these | <gadget id="calculator">3_500 * 11.5</gadget>
<output>40_250</output>
<gadget id="calculator">40_250 * 3</gadget>
<output>120_750</output>
<gadget id="calculator">120_750 / 100</gadget>
<output>2_415/2 = around 1_207.5</output>
<gadget id="calculator">3_500 * 10</gadget>
<output>35_000</output>
<gadget id="calculator">35_000 * 3</gadget>
<output>105_000</output>
<gadget id="calculator">105_000 / 100</gadget>
<output>1_050</output>
<gadget id="calculator">(2_415/2) - 1_050</gadget>
<output>315/2 = around 157.5</output>
<result>D</result> | D | 157.5 | If A lends Rs. 3500 to B at 10% p.a. and B lends the same sum to C at 11.5% p.a., then the gain of B (in Rs.) in a period of 3 years is | {
"A": "rs . 154.50",
"B": "rs . 155.50",
"C": "rs . 156.50",
"D": "rs . 157.50",
"E": "none of these"
} | subtract(divide(multiply(multiply(3500, 11.5), 3), const_100), divide(multiply(multiply(3500, 10), 3), const_100)) | multiply(n0,n2)|multiply(n0,n1)|multiply(n3,#0)|multiply(n3,#1)|divide(#2,const_100)|divide(#3,const_100)|subtract(#4,#5) | explanation : we need to calculate the profit of b . it will be , si on the rate b lends - si on the rate b gets gain of b = 3500 × 11.5 × 3 / 100 − 3500 × 10 × 3 / 100 = 157.50 option d | gain |
math_qa__82IXTSJrTgMXUvP3 | At a certain high school, the senior class is twice the size of the junior class. If 1/8 of the seniors and 3/4 of the juniors study Japanese, what fraction of the students in both classes study Japanese? Pick:
A) 3 / 8 B) 3 / 4 C) 1 / 3 D) 4 / 5 E) 1 / 2 | <gadget id="calculator">8 + 4</gadget>
<output>12</output>
<gadget id="calculator">4 / 12</gadget>
<output>1/3 = around 0.333333</output>
<result>C</result> | C | 0.333333 | At a certain high school, the senior class is twice the size of the junior class. If 1/8 of the seniors and 3/4 of the juniors study Japanese, what fraction of the students in both classes study Japanese? | {
"A": "3 / 8",
"B": "3 / 4",
"C": "1 / 3",
"D": "4 / 5",
"E": "1 / 2"
} | divide(4, add(8, 4)) | add(n1,n3)|divide(n3,#0) | start by deciding on a number of students to represent the number of students in the senior class . for this example i will choose 200 students . that would make the number of students in the junior class 100 . then we can find out how many students are taking japanese in each grade and add them together . ( 1 / 8 ) * 200 = 25 and ( 3 / 4 ) * 100 = 75 . 25 + 75 = 100 . there are a total of 300 students in the junior class and senior class combined ( 100 + 200 = 300 ) , and there are 100 total students in japanese , so 100 students in japanese / 300 total students equals 1 / 3 of the students in both classes that study japanese . answer : c | general |
math_qa__szsZ94TslwKT356n | A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3300, A will get: Select the correct option: A) rs . 1200 B) rs . 1500 C) rs . 1980 D) rs . 2000 E) none of these | <gadget id="calculator">15 * 2</gadget>
<output>30</output>
<gadget id="calculator">30 / 10</gadget>
<output>3</output>
<gadget id="calculator">30 / 15</gadget>
<output>2</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">(3/5) * 3_300</gadget>
<output>1_980</output>
<result>C</result> | C | 1,980 | A alone can finish a work in 10 days which B alone can finish in 15 days. If they work together and finish it, then out of a total wages of Rs.3300, A will get: | {
"A": "rs . 1200",
"B": "rs . 1500",
"C": "rs . 1980",
"D": "rs . 2000",
"E": "none of these"
} | multiply(divide(divide(multiply(15, const_2), 10), add(divide(multiply(15, const_2), 10), divide(multiply(15, const_2), 15))), 3300) | multiply(n1,const_2)|divide(#0,n0)|divide(#0,n1)|add(#1,#2)|divide(#1,#3)|multiply(n2,#4)| | "explanation : ratio of working days of a : b = 10 : 15 therefore , their wages ratio = reverse ratio = 15 : 10 therefore , a will get 15 units of ratio total ratio = 25 1 unit of ratio = 3000 / 25 = 132 so , a ’ s amount = 120 × 15 = rs . 1980 . answer : option c" | physics |
math_qa__BRyV9EOaZ3n10gyp | carol is 5 times alice ’ s age but only twice as old as betty . alice is 12 years younger than carol . how old is betty ?
Pick:
A) 6
B) 9
C) 12
D) 18
E) 24 | <gadget id="calculator">5 + 1</gadget>
<output>6</output>
<result>A</result> | A | 6 | carol is 5 times alice ’ s age but only twice as old as betty . alice is 12 years younger than carol . how old is betty ? | {
"A": "6",
"B": "9",
"C": "12",
"D": "18",
"E": "24"
} | add(5, const_1) | add(n0,const_1) | given that c = 5 a = 2 b . . and a = c - 12 = 5 a - 12 - - > 4 a = 12 - - > a = 3 substituting the values a = 3 , c = 15 and b = 6 . . ans a = 6 . . | general |
math_qa__dby0CJhA6ARZrqpe | In a box of 10 pens, a total of 2 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
Pick
A) 7 / 12 B) 11 / 20 C) 17 / 30 D) 28 / 45 E) 51 / 90 | <gadget id="calculator">10 - 2</gadget>
<output>8</output>
<gadget id="calculator">8 / 10</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">7 / 9</gadget>
<output>7/9 = around 0.777778</output>
<gadget id="calculator">(4/5) * (7/9)</gadget>
<output>28/45 = around 0.622222</output>
<result>D</result> | D | 0.622222 | In a box of 10 pens, a total of 2 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective? | {
"A": "7 / 12",
"B": "11 / 20",
"C": "17 / 30",
"D": "28 / 45",
"E": "51 / 90"
} | multiply(divide(subtract(10, 2), 10), divide(subtract(subtract(10, 2), const_1), subtract(10, const_1))) | subtract(n0,n1)|subtract(n0,const_1)|divide(#0,n0)|subtract(#0,const_1)|divide(#3,#1)|multiply(#2,#4)| | "# defective pens = 2 # good pens = 8 probability of the 1 st pen being good = 8 / 10 probability of the 2 nd pen being good = 7 / 9 total probability = 8 / 10 * 7 / 9 = 28 / 45 the answer is d ." | general |
math_qa__5qJHqaLyEuwiOcNF | If the sum of the 4th term and the 12th term of an arithmetic progression is 30, what is the sum of the first 15 terms of the progression? Answers.
A) 250 B) 275 C) 260 D) 225 E) 230 | <gadget id="calculator">15 / 2</gadget>
<output>15/2 = around 7.5</output>
<gadget id="calculator">(15/2) * 30</gadget>
<output>225</output>
<result>D</result> | D | 225 | If the sum of the 4th term and the 12th term of an arithmetic progression is 30, what is the sum of the first 15 terms of the progression? | {
"A": "250",
"B": "275",
"C": "260",
"D": "225",
"E": "230"
} | multiply(divide(15, const_2), 30) | divide(n3,const_2)|multiply(n2,#0) | 4 th term + 12 th term = 30 i . e . , ( a + 3 d ) + ( a + 11 d ) = 30 now , sum of first 15 terms = ( 15 / 2 ) * [ 2 a + ( 15 - 1 ) d ] = ( 15 / 2 ) * [ 2 a + 14 d ] = ( 15 / 2 ) * 30 - - - - - - - - - - - - - - - from ( 1 ) = 225 answer : d | general |
math_qa__9wEBcbEJnxb8kvld | If x and y are numbers such that (x+5)(y-5)=0, what is the smallest possible value of x^2 + y^2 Select the correct option:
A) 0
B) 4
C) 9
D) 25
E) 16 | <gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<result>D</result> | D | 25 | If x and y are numbers such that (x+5)(y-5)=0, what is the smallest possible value of x^2 + y^2 | {
"A": "0",
"B": "4",
"C": "9",
"D": "25",
"E": "16"
} | power(5, 2) | power(n0,n3)| | "from ( x + 5 ) ( y - 5 ) = 0 it follows that either x = - 5 or y = 5 . thus either x ^ 2 = 25 or y ^ 2 = 25 . now , if x ^ 2 = 8125 , then the least value of y ^ 2 is 0 , so the least value of x ^ 2 + y ^ 2 = 25 + 0 = 25 . similarly if y ^ 2 = 25 , then the least value of x ^ 2 is 0 , so the least value of x ^ 2 + y ^ 2 = 0 + 25 = 25 . answer : d ." | general |
math_qa__mh5m40WkqcVvjpLM | Find the value of (19 + 43/151) × 151 Choose the correct choice from the following answers.
A) 2924 B) 2916 C) 2614 D) 2912 E) 2215 | <gadget id="calculator">43 / 151</gadget>
<output>43/151 = around 0.284768</output>
<gadget id="calculator">(43/151) + 19</gadget>
<output>2_912/151 = around 19.284768</output>
<gadget id="calculator">(2_912/151) * 151</gadget>
<output>2_912</output>
<result>D</result> | D | 2,912 | Find the value of (19 + 43/151) × 151 | {
"A": "2924",
"B": "2916",
"C": "2614",
"D": "2912",
"E": "2215"
} | multiply(add(divide(43, 151), 19), 151) | divide(n1,n2)|add(n0,#0)|multiply(#1,n2)| | "= ( 19 + 43 / 151 ) × 151 = ( 2869 + 43 ) / 151 × 151 = 2912 / 151 × 151 = 2912 answer is d ." | general |
math_qa__od1AdMZeey140CzY | The LCM of two numbers is 2310 and HCF is 61. If one of the numbers is 210. Then what is the other number ? Choices: A) 715 B) 671 C) 330 D) 582 E) 465 | <gadget id="calculator">2_310 * 61</gadget>
<output>140_910</output>
<gadget id="calculator">140_910 / 210</gadget>
<output>671</output>
<result>B</result> | B | 671 | The LCM of two numbers is 2310 and HCF is 61. If one of the numbers is 210. Then what is the other number ? | {
"A": "715",
"B": "671",
"C": "330",
"D": "582",
"E": "465"
} | divide(multiply(2310, 61), 210) | multiply(n0,n1)|divide(#0,n2)| | "first number * second number = lcm * hcf other number = 2310 * 61 / 210 = 11 * 61 = 671 answer : b" | physics |
math_qa__xNAKC7EfojkjMNVj | The C.P of 30 books is equal to the S.P of 40 books. Find his gain% or loss%?
Choose the correct choice from the following answers:
A) 23 %
B) 24 %
C) 25 %
D) 50 %
E) 40 % | <gadget id="calculator">30 / 40</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 - (3/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 100</gadget>
<output>25</output>
<result>C</result> | C | 25 | The C.P of 30 books is equal to the S.P of 40 books. Find his gain% or loss%? | {
"A": "23 %",
"B": "24 %",
"C": "25 %",
"D": "50 %",
"E": "40 %"
} | multiply(subtract(const_1, divide(30, 40)), const_100) | divide(n0,n1)|subtract(const_1,#0)|multiply(#1,const_100)| | "explanation : 30 cp = 40 sp 40 - - - 10 cp loss 100 - - - ? = > 25 % loss answer : c" | gain |
math_qa__rffKVEFtfCvSFH8Q | A train 280 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going? Choose the correct choice from the following answers
A) 15 B) 6 C) 7 D) 9 E) 5 | <gadget id="calculator">60 + 6</gadget>
<output>66</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">66 * (5/18)</gadget>
<output>55/3 = around 18.333333</output>
<gadget id="calculator">280 / (55/3)</gadget>
<output>168/11 = around 15.272727</output>
<result>A</result> | A | 15 | A train 280 m long is running with a speed of 60 km/hr. In what time will it pass a man who is running at 6 km/hr in the direction opposite to that in which the train is going? | {
"A": "15",
"B": "6",
"C": "7",
"D": "9",
"E": "5"
} | divide(280, multiply(add(60, 6), const_0_2778)) | add(n1,n2)|multiply(#0,const_0_2778)|divide(n0,#1)| | "speed of train relative to man = 60 + 6 = 66 km / hr . = 66 * 5 / 18 = 55 / 3 m / sec . time taken to pass the men = 280 * 3 / 55 = 15 sec . answer : a" | physics |
math_qa__iDY9OCrJGH9A3iZJ | A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 30 paise per sq m is Choose the correct choice from the following options
A) rs . 223.20 B) rs . 323.20 C) rs . 423.20 D) rs . 523.20 E) none of these | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">25 * 12</gadget>
<output>300</output>
<gadget id="calculator">25 * 6</gadget>
<output>150</output>
<gadget id="calculator">2 * 150</gadget>
<output>300</output>
<gadget id="calculator">12 * 6</gadget>
<output>72</output>
<gadget id="calculator">72 * 2</gadget>
<output>144</output>
<gadget id="calculator">300 + 144</gadget>
<output>444</output>
<gadget id="calculator">300 + 444</gadget>
<output>744</output>
<gadget id="calculator">(3/10) * 744</gadget>
<output>1_116/5 = around 223.2</output>
<result>A</result> | A | 223.2 | A tank is 25m long 12m wide and 6m deep. The cost of plastering its walls and bottom at 30 paise per sq m is | {
"A": "rs . 223.20",
"B": "rs . 323.20",
"C": "rs . 423.20",
"D": "rs . 523.20",
"E": "none of these"
} | multiply(divide(30, const_100), add(multiply(25, 12), add(multiply(const_2, multiply(25, 6)), multiply(multiply(12, 6), const_2)))) | divide(n3,const_100)|multiply(n0,n2)|multiply(n1,n2)|multiply(n0,n1)|multiply(#1,const_2)|multiply(#2,const_2)|add(#4,#5)|add(#6,#3)|multiply(#7,#0)| | "explanation : area to be plastered = [ 2 ( l + b ) ã — h ] + ( l ã — b ) = [ 2 ( 25 + 12 ) ã — 6 ] + ( 25 ã — 12 ) = 744 sq m cost of plastering = 744 ã — ( 30 / 100 ) = rs . 223.20 answer : a" | physics |
math_qa__RQT0H3mfdMZWX0gC | 3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 5 men and 2 women will do that task. Choose the correct choice from the following:
A) 6 / 7 B) 3 / 10 C) 3 / 18 D) 3 / 16 E) 3 / 11 | <gadget id="calculator">8 - 2</gadget>
<output>6</output>
<gadget id="calculator">6 - 3</gadget>
<output>3</output>
<gadget id="calculator">6 / 3</gadget>
<output>2</output>
<gadget id="calculator">2 * 5</gadget>
<output>10</output>
<gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">6 * 2</gadget>
<output>12</output>
<gadget id="calculator">12 + 2</gadget>
<output>14</output>
<gadget id="calculator">12 / 14</gadget>
<output>6/7 = around 0.857143</output>
<result>A</result> | A | 0.857143 | 3 men and 8 women complete a task in same time as 6 men and 2 women do. How much fraction of work will be finished in same time if 5 men and 2 women will do that task. | {
"A": "6 / 7",
"B": "3 / 10",
"C": "3 / 18",
"D": "3 / 16",
"E": "3 / 11"
} | divide(add(multiply(divide(subtract(8, 2), subtract(6, 3)), 5), 2), add(multiply(6, divide(subtract(8, 2), subtract(6, 3))), 2)) | subtract(n1,n3)|subtract(n2,n0)|divide(#0,#1)|multiply(n4,#2)|multiply(n2,#2)|add(n5,#3)|add(n3,#4)|divide(#5,#6)| | "3 m + 8 w = 6 m + 2 w 3 m = 6 w 1 m = 2 w therefore 3 m + 8 w = 14 w 5 m + 2 w = 12 w answer is 12 / 14 = 6 / 7 answer : a" | physics |
math_qa__waU1at7HE54EbkP1 | 6 boysand 8 girls can do job in 10 days ,26 boys & 48 women do work in 2 days find time taken by 15 boys and 20 girls to do same work Choose the correct choice from the following choices
A) 4 days
B) 5 days
C) 6 days
D) 7 days
E) 8 days | <gadget id="calculator">48 * 2</gadget>
<output>96</output>
<gadget id="calculator">8 * 10</gadget>
<output>80</output>
<gadget id="calculator">96 - 80</gadget>
<output>16</output>
<gadget id="calculator">6 * 10</gadget>
<output>60</output>
<gadget id="calculator">26 * 2</gadget>
<output>52</output>
<gadget id="calculator">60 - 52</gadget>
<output>8</output>
<gadget id="calculator">16 / 8</gadget>
<output>2</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<result>A</result> | A | 4 | 6 boysand 8 girls can do job in 10 days ,26 boys & 48 women do work in 2 days find time taken by 15 boys and 20 girls to do same work | {
"A": "4 days",
"B": "5 days",
"C": "6 days",
"D": "7 days",
"E": "8 days"
} | multiply(divide(subtract(multiply(48, 2), multiply(8, 10)), subtract(multiply(6, 10), multiply(26, 2))), 2) | multiply(n4,n5)|multiply(n1,n2)|multiply(n0,n2)|multiply(n3,n5)|subtract(#0,#1)|subtract(#2,#3)|divide(#4,#5)|multiply(n5,#6) | 6 b + 8 g = 1 / 10 ( 1 day work ) - - - - - - > ( i ) 26 b + 48 w = 1 / 2 - - - - - - - - > ( ii ) divide both sides by 2 in ( i ) and multiply both sides by 5 now we get 15 b + 20 b = 1 / 4 so ans . is 4 days . answer : a | physics |
math_qa__bWGpBesNLzRaP9h7 | A, B and C have Rs.250 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have?
Choose the correct choice from the following answers:
A) 300
B) 290
C) 280
D) 270
E) 66 | <gadget id="calculator">200 + 350</gadget>
<output>550</output>
<gadget id="calculator">550 - 250</gadget>
<output>300</output>
<result>A</result> | A | 300 | A, B and C have Rs.250 between them, A and C together have Rs.200 and B and C Rs.350. How much does C have? | {
"A": "300",
"B": "290",
"C": "280",
"D": "270",
"E": "66"
} | subtract(add(200, 350), 250) | add(n1,n2)|subtract(#0,n0)| | "a + b + c = 250 a + c = 200 b + c = 350 - - - - - - - - - - - - - - a + b + 2 c = 550 a + b + c = 250 - - - - - - - - - - - - - - - - c = 300 answer : a" | general |
math_qa__bnLi6J5EXvMIT33g | A computer is programmed to multiply consecutive even integers 2*4*6*8*…*n until the product is divisible by 1947, What is the value of n?
Answers:
A) 22 B) 38 C) 62 D) 122 E) 118 | <gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">1_947 / 11</gadget>
<output>177</output>
<gadget id="calculator">177 / 3</gadget>
<output>59</output>
<gadget id="calculator">2 * 59</gadget>
<output>118</output>
<result>E</result> | E | 118 | A computer is programmed to multiply consecutive even integers 2*4*6*8*…*n until the product is divisible by 1947, What is the value of n? | {
"A": "22",
"B": "38",
"C": "62",
"D": "122",
"E": "118"
} | multiply(2, divide(divide(1947, add(const_10, const_1)), const_3)) | add(const_1,const_10)|divide(n4,#0)|divide(#1,const_3)|multiply(n0,#2)| | "factorise 1947 . . 3 * 11 * 59 . . so n has to be a multiple of largest prime number , 61 . . so n = 2 * 59 = 118 . . ans : e" | general |
math_qa__xpWRLrpzwcKa19QZ | A boat can travel with a speed of 14 km/hr in still water. If the speed of the stream is 6 km/hr, find the time taken by the boat to go 72 km downstream. Choose the correct choice
A) 4.25 hr B) 3.6 hr C) 8.25 hr D) 2.25 hr E) 2.50 hr | <gadget id="calculator">14 + 6</gadget>
<output>20</output>
<gadget id="calculator">72 / 20</gadget>
<output>18/5 = around 3.6</output>
<result>B</result> | B | 3.6 | A boat can travel with a speed of 14 km/hr in still water. If the speed of the stream is 6 km/hr, find the time taken by the boat to go 72 km downstream. | {
"A": "4.25 hr",
"B": "3.6 hr",
"C": "8.25 hr",
"D": "2.25 hr",
"E": "2.50 hr"
} | divide(72, add(14, 6)) | add(n0,n1)|divide(n2,#0)| | "speed of boat in still water = 14 km / hr speed of the stream = 6 km / hr speed downstream = ( 14 + 6 ) = 20 km / hr time taken to travel 72 km downstream = 72 â „ 20 = 3.6 hours answer is b" | physics |
math_qa__HDd7UovwdYwbOTGl | If x is equal to the sum of the integers from 40 to 60, inclusive, and y is the number of even integers from 40 to 60, inclusive, what is the value of x + y? Choose the most appropriate option: A) 1021 B) 1041 C) 1061 D) 1081 E) 1101 | <gadget id="calculator">40 + 60</gadget>
<output>100</output>
<gadget id="calculator">100 / 2</gadget>
<output>50</output>
<gadget id="calculator">60 - 40</gadget>
<output>20</output>
<gadget id="calculator">20 + 1</gadget>
<output>21</output>
<gadget id="calculator">50 * 21</gadget>
<output>1_050</output>
<gadget id="calculator">20 / 2</gadget>
<output>10</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">1_050 + 11</gadget>
<output>1_061</output>
<result>C</result> | C | 1,061 | If x is equal to the sum of the integers from 40 to 60, inclusive, and y is the number of even integers from 40 to 60, inclusive, what is the value of x + y? | {
"A": "1021",
"B": "1041",
"C": "1061",
"D": "1081",
"E": "1101"
} | add(multiply(divide(add(40, 60), const_2), add(subtract(60, 40), const_1)), add(divide(subtract(60, 40), const_2), const_1)) | add(n0,n1)|subtract(n1,n0)|add(#1,const_1)|divide(#1,const_2)|divide(#0,const_2)|add(#3,const_1)|multiply(#2,#4)|add(#5,#6)| | "x = 40 + 41 + . . . + 60 = 21 ( 50 ) = 1050 y = 11 x + y = 1061 the answer is c ." | general |
math_qa__oFlYUfJN8EMvoh3q | How many paying stones, each measuring 4 m * 2 m are required to pave a rectangular court yard 40 m long and 20 m board? Choose the correct choice from the following
A) 99 B) 18 C) 100 D) 17 E) 12 | <gadget id="calculator">40 * 20</gadget>
<output>800</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">800 / 8</gadget>
<output>100</output>
<result>C</result> | C | 100 | How many paying stones, each measuring 4 m * 2 m are required to pave a rectangular court yard 40 m long and 20 m board? | {
"A": "99",
"B": "18",
"C": "100",
"D": "17",
"E": "12"
} | divide(rectangle_area(40, 20), rectangle_area(4, 2)) | rectangle_area(n2,n3)|rectangle_area(n0,n1)|divide(#0,#1)| | "40 * 20 = 4 * 2 * x = > x = 100 answer : c" | physics |
math_qa__6AuvM0KJqiUCNCmx | Rectangle A has sides a and b, and rectangle B has sides c and d. If a/c=b/d=3/4, what is the ratio of rectangle A’s area to rectangle B’s area? Choose the correct option:
A) 3 / 4 B) 9 / 16 C) 16 / 3 D) 4 / 3 E) 3 / 16 | <gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">9 / 16</gadget>
<output>9/16 = around 0.5625</output>
<result>B</result> | B | 0.5625 | Rectangle A has sides a and b, and rectangle B has sides c and d. If a/c=b/d=3/4, what is the ratio of rectangle A’s area to rectangle B’s area? | {
"A": "3 / 4",
"B": "9 / 16",
"C": "16 / 3",
"D": "4 / 3",
"E": "3 / 16"
} | divide(power(3, const_2), power(4, const_2)) | power(n0,const_2)|power(n1,const_2)|divide(#0,#1)| | "the area of rectangle a is ab . c = 4 a / 3 and d = 4 b / 3 . the area of rectangle b is cd = 16 ab / 9 . the ratio of rectangle a ' s area to rectangle b ' s area is ab / ( 16 ab / 9 ) = 9 / 16 . the answer is b ." | geometry |
math_qa__oI2zHhSRbICK7nGR | The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 46 kg, then the weight of B is: Options
A) 17 kg B) 20 kg C) 26 kg D) 31 kg E) 37 kg | <gadget id="calculator">40 * 2</gadget>
<output>80</output>
<gadget id="calculator">46 * 2</gadget>
<output>92</output>
<gadget id="calculator">80 + 92</gadget>
<output>172</output>
<gadget id="calculator">45 * 3</gadget>
<output>135</output>
<gadget id="calculator">172 - 135</gadget>
<output>37</output>
<result>E</result> | E | 37 | The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 46 kg, then the weight of B is: | {
"A": "17 kg",
"B": "20 kg",
"C": "26 kg",
"D": "31 kg",
"E": "37 kg"
} | subtract(add(multiply(40, const_2), multiply(46, const_2)), multiply(45, const_3)) | multiply(n1,const_2)|multiply(n2,const_2)|multiply(n0,const_3)|add(#0,#1)|subtract(#3,#2)| | "let d sum of a , b , c is 3 * 45 = 135 and sum of a and b s 2 * 40 = 80 sum of b and c is 2 * 46 = 92 hence 80 + 92 - 144 = 37 ans = 37 answer : e" | general |
math_qa__PH5jfM49tZVnVP4L | In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is: Choose the correct choice:
A) 1 B) 2 C) 3 D) 4 E) 5 | <gadget id="calculator">30 / 2</gadget>
<output>15</output>
<gadget id="calculator">30 - 15</gadget>
<output>15</output>
<gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">15 / 3</gadget>
<output>5</output>
<result>E</result> | E | 5 | In covering a distance of 30 km, Abhay takes 2 hours more than Sameer. If Abhay doubles his speed, then he would take 1 hour less than Sameer. Abhay's speed is: | {
"A": "1",
"B": "2",
"C": "3",
"D": "4",
"E": "5"
} | divide(subtract(30, divide(30, 2)), add(1, 2)) | add(n1,n2)|divide(n0,n1)|subtract(n0,#1)|divide(#2,#0)| | "abhay speed = x sameer speed = y ( 30 / x ) - ( 30 / y ) = 2 . . . . 1 - ( 30 / 2 x ) + ( 30 / y ) = 1 . . . - 2 solving 1 and 2 we get 6 x = 30 x = 5 answer e" | physics |
math_qa__Q69F3yg3wwcKpPAq | A courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $2.05? Choose the correct choice:
A) 980 B) 1130 C) 1440 D) 1610 E) 1820 | <gadget id="calculator">65 / 100</gadget>
<output>13/20 = around 0.65</output>
<gadget id="calculator">2.05 - (13/20)</gadget>
<output>1.4</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) / 100</gadget>
<output>1/1_000 = around 0.001</output>
<gadget id="calculator">(1/1_000) * 250</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1.4 + (1/4)</gadget>
<output>1.65</output>
<gadget id="calculator">1.65 / (1/1_000)</gadget>
<output>1_650</output>
<result>D</result> | D | 1,610 | A courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof. What could be the weight in grams of a package for which the charge is $2.05? | {
"A": "980",
"B": "1130",
"C": "1440",
"D": "1610",
"E": "1820"
} | divide(add(subtract(2.05, divide(65, const_100)), multiply(divide(divide(10, 100), 100), 250)), divide(divide(10, 100), 100)) | divide(n2,n3)|divide(n0,const_100)|divide(#0,n3)|subtract(n4,#1)|multiply(n1,#2)|add(#4,#3)|divide(#5,#2) | the charge is 65 cents for the first 250 grams . this leaves a charge of $ 2.05 - $ 0.65 = $ 1.40 the charge for the next 1300 grams is $ 1.30 which leaves a charge of $ 0.10 the weight is somewhere between 1550 and 1650 . the answer is d . | general |
math_qa__fdPu9sgEnVNneEZ4 | The area of a square garden is A square feet and the perimeter is p feet. If a=2p+14.25, what is the perimeter of the garden, in feet?
Choose one
A) 38 B) 36 C) 40 D) 56 E) 64 | <gadget id="calculator">14.25 * 2</gadget>
<output>28.5</output>
<gadget id="calculator">10 + 28.5</gadget>
<output>38.5</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">38.5 - (1/4)</gadget>
<output>38.25</output>
<gadget id="calculator">38.25 - (1/4)</gadget>
<output>38</output>
<result>A</result> | A | 38 | The area of a square garden is A square feet and the perimeter is p feet. If a=2p+14.25, what is the perimeter of the garden, in feet? | {
"A": "38",
"B": "36",
"C": "40",
"D": "56",
"E": "64"
} | subtract(subtract(add(const_10, multiply(14.25, 2)), const_0_25), const_0_25) | multiply(n0,n1)|add(#0,const_10)|subtract(#1,const_0_25)|subtract(#2,const_0_25) | perimeter of square = p side of square = p / 4 area of square = ( p ^ 2 ) / 16 = a given that a = 2 p + 14.25 ( p ^ 2 ) / 16 = 2 p + 9 p ^ 2 = 32 p + 228 p ^ 2 - 32 p - 228 = 0 p ^ 2 - 38 p + 6 p - 228 = 0 p ( p - 38 ) + 6 ( p + 38 ) = 0 ( p - 38 ) ( p + 6 ) = 0 p = 38 or - 6 discarding negative value , p = 38 answer is a | geometry |
math_qa__b2JdTS8WpqzPlDM5 | A fruit seller had some oranges. He sells 20% oranges and still has 380 oranges. How many oranges he had originally? Pick.
A) 475 B) 700 C) 220 D) 400 E) none of these | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">380 * (1/5)</gadget>
<output>76</output>
<gadget id="calculator">380 + 76</gadget>
<output>456</output>
<result>A</result> | A | 475 | A fruit seller had some oranges. He sells 20% oranges and still has 380 oranges. How many oranges he had originally? | {
"A": "475",
"B": "700",
"C": "220",
"D": "400",
"E": "none of these"
} | add(380, multiply(380, divide(20, const_100))) | divide(n0,const_100)|multiply(n1,#0)|add(n1,#1) | explanation : he sells 20 % of oranges and still there are 380 oranges remaining = > 80 % of oranges = 380 ⇒ ( 80 × total oranges ) / 100 = 380 ⇒ total oranges / 100 = 4.75 ⇒ total oranges = 4.75 × 100 = 475 answer : option a | gain |
math_qa__evAVzKBTbVVTsu21 | Find the mean proportional between 25 & 36?
Choices.
A) 59 B) 30 C) 63 D) 65 E) 67 | <gadget id="calculator">25 + 36</gadget>
<output>61</output>
<gadget id="calculator">61 / 2</gadget>
<output>61/2 = around 30.5</output>
<result>B</result> | B | 30 | Find the mean proportional between 25 & 36? | {
"A": "59",
"B": "30",
"C": "63",
"D": "65",
"E": "67"
} | divide(add(25, 36), const_2) | add(n0,n1)|divide(#0,const_2)| | "formula = √ a × b a = 25 and b = 36 √ 25 × 36 = 5 × 6 = 30 b" | general |
math_qa__OQCQqYPMLfZSuQfE | What is the least number should be added to 1156, so the sum of the number is completely divisible by 25? Choose the correct choice:
A) 19 B) 2 C) 5 D) 6 E) 8 | <gadget id="calculator">1_156 / 25</gadget>
<output>1_156/25 = around 46.24</output>
<gadget id="calculator">floor(1_156/25)</gadget>
<output>46</output>
<gadget id="calculator">46 + 1</gadget>
<output>47</output>
<gadget id="calculator">47 * 25</gadget>
<output>1_175</output>
<gadget id="calculator">1_175 - 1_156</gadget>
<output>19</output>
<result>A</result> | A | 19 | What is the least number should be added to 1156, so the sum of the number is completely divisible by 25? | {
"A": "19",
"B": "2",
"C": "5",
"D": "6",
"E": "8"
} | subtract(multiply(add(floor(divide(1156, 25)), const_1), 25), 1156) | divide(n0,n1)|floor(#0)|add(#1,const_1)|multiply(n1,#2)|subtract(#3,n0)| | "( 1156 / 25 ) gives remainder 6 6 + 19 = 25 , so we need to add 19 answer : a" | general |
math_qa__PgF9voZI2BWeqHGP | The youngest of 4 children has siblings who are 4, 5, and 7 years older than she is. If the average (arithmetic mean) age of the 4 siblings is 21, what is the age of the youngest sibling?
Answers:
A) 14
B) 15
C) 16
D) 17
E) 18 | <gadget id="calculator">4 * 21</gadget>
<output>84</output>
<gadget id="calculator">4 + 5</gadget>
<output>9</output>
<gadget id="calculator">9 + 7</gadget>
<output>16</output>
<gadget id="calculator">84 - 16</gadget>
<output>68</output>
<gadget id="calculator">68 / 4</gadget>
<output>17</output>
<result>D</result> | D | 17 | The youngest of 4 children has siblings who are 4, 5, and 7 years older than she is. If the average (arithmetic mean) age of the 4 siblings is 21, what is the age of the youngest sibling? | {
"A": "14",
"B": "15",
"C": "16",
"D": "17",
"E": "18"
} | divide(subtract(multiply(4, 21), add(add(4, 5), 7)), 4) | add(n0,n2)|multiply(n0,n5)|add(n3,#0)|subtract(#1,#2)|divide(#3,n0) | x + ( x + 4 ) + ( x + 5 ) + ( x + 7 ) = 84 4 x + 16 = 84 4 x = 68 x = 17 the answer is d . | general |
math_qa__udTryewUyryQzNVO | In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?
Answers
A) 50 sec
B) 190 sec
C) 287 sec
D) 74 sec
E) 697 sec | <gadget id="calculator">1 * 1_000</gadget>
<output>1_000</output>
<gadget id="calculator">50 / 10</gadget>
<output>5</output>
<gadget id="calculator">1_000 / 5</gadget>
<output>200</output>
<gadget id="calculator">200 - 10</gadget>
<output>190</output>
<result>B</result> | B | 190 | In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race? | {
"A": "50 sec",
"B": "190 sec",
"C": "287 sec",
"D": "74 sec",
"E": "697 sec"
} | subtract(divide(multiply(const_1, const_1000), divide(50, 10)), 10) | divide(n0,n1)|multiply(const_1,const_1000)|divide(#1,#0)|subtract(#2,n1)| | "explanation : time taken by b run 1000 meters = ( 1000 * 10 ) / 50 = 200 sec . time taken by a = 200 - 10 = 190 sec . answer b" | physics |
math_qa__rtSA2AfcRagYDTZF | the average of 8 numbers is 25 , that of the first 2 is 20 and of the next 3 is 26 . the sixth number is less than the seventh by 4 , and less than the eighth by 6 . the last number is
Answers: A) 30 B) 32 C) 40 D) 36 E) 38 | <gadget id="calculator">25 * 8</gadget>
<output>200</output>
<gadget id="calculator">2 * 20</gadget>
<output>40</output>
<gadget id="calculator">3 * 26</gadget>
<output>78</output>
<gadget id="calculator">40 + 78</gadget>
<output>118</output>
<gadget id="calculator">200 - 118</gadget>
<output>82</output>
<gadget id="calculator">82 + 8</gadget>
<output>90</output>
<gadget id="calculator">90 / 3</gadget>
<output>30</output>
<result>A</result> | A | 30 | the average of 8 numbers is 25 , that of the first 2 is 20 and of the next 3 is 26 . the sixth number is less than the seventh by 4 , and less than the eighth by 6 . the last number is | {
"A": "30",
"B": "32",
"C": "40",
"D": "36",
"E": "38"
} | divide(add(subtract(multiply(25, 8), add(multiply(2, 20), multiply(3, 26))), 8), 3) | multiply(n0,n1)|multiply(n2,n3)|multiply(n4,n5)|add(#1,#2)|subtract(#0,#3)|add(n0,#4)|divide(#5,n4) | explanation : sum of all the numbers = 25 * 8 = 200 sum of first two numbers = 40 sum of next three numbers ( i . e . , 3 rd , 4 th and 5 th ) = 78 so , sum of first five numbers = 118 and sum of 6 th , 7 th and 8 th number = 82 assuming sixth number to be x , we get 7 th number = x + 4 and 8 th number = x + 6 . so , x + ( x + 4 ) + ( x + 6 ) = 82 = > x = 24 . hence , last number ( 8 th number ) = 30 . answer : a | general |
math_qa__cvwXtBqdWGz0wrgZ | 18 : 12 seconds :: ? :6 minutes Select the correct option
A) 10 B) 9 C) 20 D) 25 E) 30 | <gadget id="calculator">18 / 12</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">6 * (3/2)</gadget>
<output>9</output>
<result>B</result> | B | 9 | 18 : 12 seconds :: ? :6 minutes | {
"A": "10",
"B": "9",
"C": "20",
"D": "25",
"E": "30"
} | multiply(6, divide(18, 12)) | divide(n0,n1)|multiply(n2,#0) | 18 * 6 = 12 * x x = 9 answer : b | physics |
math_qa__swxurHOGX0iV1tNO | A Ship going at the speed of 18 km/hr crosses a light house in 20 seconds. What is the length of the train? Options:
A) 120 B) 150 C) 100 D) 240 E) 200 | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">18 * (5/18)</gadget>
<output>5</output>
<gadget id="calculator">5 * 20</gadget>
<output>100</output>
<result>C</result> | C | 100 | A Ship going at the speed of 18 km/hr crosses a light house in 20 seconds. What is the length of the train? | {
"A": "120",
"B": "150",
"C": "100",
"D": "240",
"E": "200"
} | multiply(multiply(18, const_0_2778), 20) | multiply(n0,const_0_2778)|multiply(n1,#0) | speed = ( 18 x 5 / 18 ) = 5 m / sec . length of the train = ( speed x time ) . length of the train = 5 x 20 m = 100 m . answer : c | physics |
math_qa__Rho6kBdWamQxmfgQ | Matt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days peter stops and Peter completes the remaining work in 10 days. In how many days Matt complete the work separately. Options.
A) 28 B) 27 C) 26 D) 25 E) 29 | <gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">12 * (1/20)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">10 / (2/5)</gadget>
<output>25</output>
<result>D</result> | D | 25 | Matt and Peter can do together a piece of work in 20 days. After they have worked together for 12 days peter stops and Peter completes the remaining work in 10 days. In how many days Matt complete the work separately. | {
"A": "28",
"B": "27",
"C": "26",
"D": "25",
"E": "29"
} | divide(10, subtract(const_1, multiply(12, divide(const_1, 20)))) | divide(const_1,n0)|multiply(n1,#0)|subtract(const_1,#1)|divide(n2,#2) | together they complete the job in 20 days means they complete 12 / 20 of the job after 12 days . peter completes the remaining ( 8 / 20 ) of the job in 10 days which means that the whole job ( 1 ) can be completed in x days . < = > 8 / 20 - > 10 < = > x = 10 / ( 8 / 20 ) = 25 d | physics |
math_qa__zmIs3eJIdCKp6Smj | Set A {3,3,3,4,5,5,5} has a standard deviation of 1. What will the standard deviation be if every number in the set is multiplied by 7?
Answers:
A) 1 B) 2 C) 4 D) 7 E) 16 | <gadget id="calculator">7 * 1</gadget>
<output>7</output>
<result>D</result> | D | 7 | Set A {3,3,3,4,5,5,5} has a standard deviation of 1. What will the standard deviation be if every number in the set is multiplied by 7? | {
"A": "1",
"B": "2",
"C": "4",
"D": "7",
"E": "16"
} | multiply(7, 1) | multiply(n4,n5)| | "points to remember - 1 . if oneadd / subtractthe same amont from every term in a set , sd does n ' t change . 2 . if onemultiply / divideevery term by the same number in a set , sd changes by same number . hence the answer to the above question is d" | general |
math_qa__mA4ZTAaELXHQPSsW | If a - b = 3 and a(power 2) + b(power 2) = 27, find the value of ab. Choose one
A) 5
B) 9
C) 4
D) 10
E) 3 | <gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">27 - 9</gadget>
<output>18</output>
<gadget id="calculator">18 / 2</gadget>
<output>9</output>
<result>B</result> | B | 9 | If a - b = 3 and a(power 2) + b(power 2) = 27, find the value of ab. | {
"A": "5",
"B": "9",
"C": "4",
"D": "10",
"E": "3"
} | divide(subtract(27, power(3, 2)), 2) | power(n0,n1)|subtract(n3,#0)|divide(#1,n1)| | "2 ab = ( a ( power 2 ) + b ( power 2 ) - ( a - b ) ( power 2 ) = 27 - 9 = 18 ab = 9 . answer is b ." | general |
math_qa__nJuMcKYrIqIU80L0 | A man can row his boat with the stream at 19 km/h and against the stream in 11 km/h. The man's rate is? Choose one.
A) 4 kmph
B) 2 kmph
C) 7 kmph
D) 8 kmph
E) 3 kmph | <gadget id="calculator">19 - 11</gadget>
<output>8</output>
<gadget id="calculator">8 / 2</gadget>
<output>4</output>
<result>A</result> | A | 4 | A man can row his boat with the stream at 19 km/h and against the stream in 11 km/h. The man's rate is? | {
"A": "4 kmph",
"B": "2 kmph",
"C": "7 kmph",
"D": "8 kmph",
"E": "3 kmph"
} | divide(subtract(19, 11), const_2) | subtract(n0,n1)|divide(#0,const_2)| | "ds = 19 us = 11 s = ? s = ( 19 - 11 ) / 2 = 4 kmph answer : a" | gain |
math_qa__LBVwAS7r1aEa4NaH | Kamal's salary was decreased by 50% and subsequently increased by 30%. How much percent does he lose? Choose the correct choice from the following choices
A) 30 %
B) 37 %
C) 65 %
D) 35 %
E) 45 % | <gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(3/10) + 1</gadget>
<output>13/10 = around 1.3</output>
<gadget id="calculator">(1/2) * (13/10)</gadget>
<output>13/20 = around 0.65</output>
<gadget id="calculator">1 - (13/20)</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">(7/20) * 100</gadget>
<output>35</output>
<result>D</result> | D | 35 | Kamal's salary was decreased by 50% and subsequently increased by 30%. How much percent does he lose? | {
"A": "30 %",
"B": "37 %",
"C": "65 %",
"D": "35 %",
"E": "45 %"
} | multiply(subtract(const_1, multiply(divide(50, const_100), add(divide(30, const_100), const_1))), const_100) | divide(n1,const_100)|divide(n0,const_100)|add(#0,const_1)|multiply(#2,#1)|subtract(const_1,#3)|multiply(#4,const_100) | explanation : solution : let original salary = rs . 100 . new final salary = 130 % of ( 50 % of rs . 100 ) = rs . ( 130 / 100 * 50 / 100 * 100 ) = rs . 65 . . ' . decrease = 35 % answer : d | general |
math_qa__o3wQ8uBLMJ6oWHuu | the ratio of a to b to c is 2 to 3 to 4 , and a , b , c are positive integers . if the average ( arithmetic mean ) of the 3 numbers is 42 , what is the value of a ? Choose the correct choice from the following.
A) 24
B) 25
C) 28
D) 30
E) 32 | <gadget id="calculator">42 * 3</gadget>
<output>126</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">126 / 9</gadget>
<output>14</output>
<gadget id="calculator">14 * 2</gadget>
<output>28</output>
<result>C</result> | C | 28 | the ratio of a to b to c is 2 to 3 to 4 , and a , b , c are positive integers . if the average ( arithmetic mean ) of the 3 numbers is 42 , what is the value of a ? | {
"A": "24",
"B": "25",
"C": "28",
"D": "30",
"E": "32"
} | multiply(divide(multiply(42, 3), add(add(2, 3), 4)), 2) | add(n0,n1)|multiply(n1,n4)|add(n2,#0)|divide(#1,#2)|multiply(n0,#3) | let a = 2 k , b = 3 k , and c = 4 k . a + b + c = 2 k + 3 k + 4 k = 9 k since the average is 42 : 9 k / 3 = 42 3 k = 42 k = 14 then a = 28 . the answer is c . | general |
math_qa__ZeXnvFlaPgBaP0hQ | What is the dividend. divisor 18, the quotient is 9 and the remainder is 4 Choose the correct option
A) 166 B) 148 C) 150 D) 153 E) 158 | <gadget id="calculator">18 * 9</gadget>
<output>162</output>
<gadget id="calculator">162 + 4</gadget>
<output>166</output>
<result>A</result> | A | 166 | What is the dividend. divisor 18, the quotient is 9 and the remainder is 4 | {
"A": "166",
"B": "148",
"C": "150",
"D": "153",
"E": "158"
} | add(multiply(18, 9), 4) | multiply(n0,n1)|add(n2,#0)| | "d = d * q + r d = 18 * 9 + 4 d = 166 answer : a" | general |
math_qa__rnYk1acBvoa7dr06 | In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 174 votes. Find the total number of valid votes? Choose one
A) 435 B) 570 C) 480 D) 520 E) 550 | <gadget id="calculator">100 - 70</gadget>
<output>30</output>
<gadget id="calculator">70 - 30</gadget>
<output>40</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">174 / (2/5)</gadget>
<output>435</output>
<result>A</result> | A | 435 | In an election only two candidates contested. A candidate secured 70% of the valid votes and won by a majority of 174 votes. Find the total number of valid votes? | {
"A": "435",
"B": "570",
"C": "480",
"D": "520",
"E": "550"
} | divide(174, divide(subtract(70, subtract(const_100, 70)), const_100)) | subtract(const_100,n0)|subtract(n0,#0)|divide(#1,const_100)|divide(n1,#2)| | "let the total number of valid votes be x . 70 % of x = 70 / 100 * x = 7 x / 10 number of votes secured by the other candidate = x - 7 x / 100 = 3 x / 10 given , 7 x / 10 - 3 x / 10 = 174 = > 4 x / 10 = 174 = > 4 x = 1740 = > x = 435 . answer : a" | gain |
math_qa__r0sSK3wR6EeZOgGG | If the wheel is 14 cm then the number of revolutions to cover a distance of 1320 cm is? Choose the most appropriate option
A) 15 B) 10 C) 14 D) 12 E) 11 | <gadget id="calculator">3 * 100</gadget>
<output>300</output>
<gadget id="calculator">1 * 10</gadget>
<output>10</output>
<gadget id="calculator">300 + 10</gadget>
<output>310</output>
<gadget id="calculator">310 + 4</gadget>
<output>314</output>
<gadget id="calculator">314 / 100</gadget>
<output>157/50 = around 3.14</output>
<gadget id="calculator">2 * (157/50)</gadget>
<output>157/25 = around 6.28</output>
<gadget id="calculator">(157/25) * 14</gadget>
<output>2_198/25 = around 87.92</output>
<gadget id="calculator">1_320 / (2_198/25)</gadget>
<output>16_500/1_099 = around 15.013649</output>
<result>A</result> | A | 15 | If the wheel is 14 cm then the number of revolutions to cover a distance of 1320 cm is? | {
"A": "15",
"B": "10",
"C": "14",
"D": "12",
"E": "11"
} | divide(1320, multiply(multiply(const_2, divide(add(add(multiply(const_3, const_100), multiply(const_1, const_10)), const_4), const_100)), 14)) | multiply(const_100,const_3)|multiply(const_1,const_10)|add(#0,#1)|add(#2,const_4)|divide(#3,const_100)|multiply(#4,const_2)|multiply(n0,#5)|divide(n1,#6)| | "2 * 22 / 7 * 14 * x = 1320 = > x = 15 answer : a" | physics |
math_qa__DgEhDXjUrl7cAVMX | Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 4 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is? Choose the correct choice from the following.
A) 1 : 2
B) 1 : 3
C) 3 : 1
D) 1 : 5
E) 1 : 4 | <gadget id="calculator">62.5 * 4</gadget>
<output>250</output>
<gadget id="calculator">250 / 100</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">87.5 * 4</gadget>
<output>350</output>
<gadget id="calculator">350 / 100</gadget>
<output>7/2 = around 3.5</output>
<gadget id="calculator">(5/2) + (7/2)</gadget>
<output>6</output>
<gadget id="calculator">4 - (5/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">4 - (7/2)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(3/2) + (1/2)</gadget>
<output>2</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<result>C</result> | C | 3 | Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 4 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is? | {
"A": "1 : 2",
"B": "1 : 3",
"C": "3 : 1",
"D": "1 : 5",
"E": "1 : 4"
} | divide(add(divide(multiply(62.5, 4), const_100), divide(multiply(87.5, 4), const_100)), add(subtract(4, divide(multiply(62.5, 4), const_100)), subtract(4, divide(multiply(87.5, 4), const_100)))) | multiply(n0,n2)|multiply(n1,n3)|divide(#0,const_100)|divide(#1,const_100)|add(#2,#3)|subtract(n2,#2)|subtract(n3,#3)|add(#5,#6)|divide(#4,#7)| | "quantity of alcohol in vessel p = 62.5 / 100 * 4 = 5 / 2 litres quantity of alcohol in vessel q = 87.5 / 100 * 4 = 7 / 2 litres quantity of alcohol in the mixture formed = 5 / 2 + 7 / 2 = 6 litres as 8 litres of mixture is formed , ratio of alcohol and water in the mixture formed = 6 : 2 = 3 : 1 . answer : c" | other |
math_qa__PItM4ldr5wkRPVwC | The cross-section of a water channel is a trapezium in shape. If the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 880 square meters, what is the depth of the channel (in meters)?
Select the correct option
A) 50
B) 60
C) 70
D) 80
E) 90 | <gadget id="calculator">14 + 8</gadget>
<output>22</output>
<gadget id="calculator">22 / 2</gadget>
<output>11</output>
<gadget id="calculator">880 / 11</gadget>
<output>80</output>
<result>D</result> | D | 80 | The cross-section of a water channel is a trapezium in shape. If the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross-section is 880 square meters, what is the depth of the channel (in meters)? | {
"A": "50",
"B": "60",
"C": "70",
"D": "80",
"E": "90"
} | divide(880, divide(add(14, 8), const_2)) | add(n0,n1)|divide(#0,const_2)|divide(n2,#1)| | "1 / 2 * d * ( 14 + 8 ) = 880 d = 80 the answer is d ." | physics |
math_qa__IazZZ872OuZ8zaOi | 1/[(1/0.03) + (1/0.37)] = ? Choose the correct choice.
A) 0.004
B) 0.02775
C) 2.775
D) 3.6036
E) 36.036 | <gadget id="calculator">1 / 0.03</gadget>
<output>33.333333</output>
<gadget id="calculator">1 / 0.37</gadget>
<output>2.702703</output>
<gadget id="calculator">33.333333 + 2.702703</gadget>
<output>36.036036</output>
<gadget id="calculator">1 / 36.036036</gadget>
<output>0.02775</output>
<result>B</result> | B | 0.02775 | 1/[(1/0.03) + (1/0.37)] = ? | {
"A": "0.004",
"B": "0.02775",
"C": "2.775",
"D": "3.6036",
"E": "36.036"
} | inverse(add(divide(1, 0.03), divide(1, 0.37))) | divide(n0,n2)|divide(n0,n4)|add(#0,#1)|inverse(#2) | approximate . 1 / . 03 = 100 / 3 = 33 1 / . 37 = 100 / 37 = 3 denominator becomes 33 + 3 = 36 1 / 36 = . 02 something answer ( b ) | general |
math_qa__eOTbFWgXsdnT59UA | In what time will a train 100 m long cross an electric pole, it its speed be 162 km/hr? Select: A) 2.5 B) 2.9 C) 2.4 D) 2.8 E) 2.22 | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">162 * (5/18)</gadget>
<output>45</output>
<gadget id="calculator">100 / 45</gadget>
<output>20/9 = around 2.222222</output>
<result>E</result> | E | 2.22 | In what time will a train 100 m long cross an electric pole, it its speed be 162 km/hr? | {
"A": "2.5",
"B": "2.9",
"C": "2.4",
"D": "2.8",
"E": "2.22"
} | divide(100, multiply(162, const_0_2778)) | multiply(n1,const_0_2778)|divide(n0,#0)| | "speed = 162 * 5 / 18 = 45 m / sec time taken = 100 / 45 = 2.22 sec . answer : e" | physics |
math_qa__pq9ymE5xmLYdB3vp | Which number need to add to 956734 to get a number exactly divisible by 412? Select
A) 345 B) 342 C) 343 D) 342 E) 341 | <gadget id="calculator">956_734 / 412</gadget>
<output>478_367/206 = around 2_322.169903</output>
<gadget id="calculator">floor(478_367/206)</gadget>
<output>2_322</output>
<gadget id="calculator">2_322 + 1</gadget>
<output>2_323</output>
<gadget id="calculator">2_323 - (478_367/206)</gadget>
<output>171/206 = around 0.830097</output>
<gadget id="calculator">412 * (171/206)</gadget>
<output>342</output>
<result>B</result> | B | 342 | Which number need to add to 956734 to get a number exactly divisible by 412? | {
"A": "345",
"B": "342",
"C": "343",
"D": "342",
"E": "341"
} | multiply(412, subtract(add(floor(divide(956734, 412)), const_1), divide(956734, 412))) | divide(n0,n1)|floor(#0)|add(#1,const_1)|subtract(#2,#0)|multiply(n1,#3)| | "956734 / 412 = 2322 and reminder = 70 . 412 - 70 = 342 so , the next number divisible by 412 is 342 places in front of 956734 which means 342 + 956734 = 957076 342 should be added to 956734 b" | general |
math_qa__9Qr6XFnfqMkK0B0f | a circular wheel radius is 1.75m.for covering 11k.m how much time it revolve? Choose the correct option:
A) 10
B) 100
C) 1000
D) 10000
E) 50 | <gadget id="calculator">11 * 1_000</gadget>
<output>11_000</output>
<gadget id="calculator">2 * pi * 1.75</gadget>
<output>3.5*pi = around 10.995574</output>
<gadget id="calculator">11_000 / (3.5*pi)</gadget>
<output>3142.85714285714/pi = around 1_000.402499</output>
<result>C</result> | C | 1,000 | a circular wheel radius is 1.75m.for covering 11k.m how much time it revolve? | {
"A": "10",
"B": "100",
"C": "1000",
"D": "10000",
"E": "50"
} | divide(multiply(11, const_1000), circumface(1.75)) | circumface(n0)|multiply(n1,const_1000)|divide(#1,#0) | distance traveled in 1 round = perimeter = { 2 * 22 / 7 * 175 / 100 } m = 11 m total no . of revolution in covering 11 km = 11000 / 11 = 1000 answer c | physics |
math_qa__VuShViJxMIjTkJMc | In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 2 ounces of corn syrup, how many ounces of water does it contain? Choose the correct choice from the following answers
A) 15 B) 30 C) 45 D) 60 E) 90 | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/12) * 3</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">(1/30) / 2</gadget>
<output>1/60 = around 0.016667</output>
<gadget id="calculator">(1/4) / (1/60)</gadget>
<output>15</output>
<gadget id="calculator">15 * 2</gadget>
<output>30</output>
<result>B</result> | B | 30 | In the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30. In the sport formulation, the ratio of flavoring to corn syrup is three times as great as in the standard formulation, and the ratio of flavoring to water is half that of the standard formulation. If a large bottle of the sport formulation contains 2 ounces of corn syrup, how many ounces of water does it contain? | {
"A": "15",
"B": "30",
"C": "45",
"D": "60",
"E": "90"
} | multiply(divide(multiply(divide(1, 12), const_3), divide(divide(1, 30), const_2)), 2) | divide(n0,n1)|divide(n0,n2)|divide(#1,const_2)|multiply(#0,const_3)|divide(#3,#2)|multiply(n3,#4)| | "standard : fl : corn s : water = 1 : 12 : 30 sport : fl : corn s : water = 3 : 12 : 180 this simplifies to 1 : 4 : 60 if the large bottle has a capacity of x ounces , then 4 x / 65 = 2 . so , x = 32.5 ounces . water = ( 60 / 65 ) * ( 65 / 2 ) = = 30 ounces . ans b" | other |
math_qa__hcTK7jUfGj21q7Wq | Find the highest value of 'a' so that 365a24 is divisible by 8. Select the correct option:
A) 9 B) 8 C) 0 D) 2 E) 1 | <gadget id="calculator">lcm(100, 8)</gadget>
<output>200</output>
<gadget id="calculator">gcd(100, 8)</gadget>
<output>4</output>
<gadget id="calculator">200 * 4</gadget>
<output>800</output>
<gadget id="calculator">800 / 100</gadget>
<output>8</output>
<result>B</result> | B | 8 | Find the highest value of 'a' so that 365a24 is divisible by 8. | {
"A": "9",
"B": "8",
"C": "0",
"D": "2",
"E": "1"
} | divide(multiply(lcm(const_100, 8), gcd(const_100, 8)), const_100) | gcd(n2,const_100)|lcm(n2,const_100)|multiply(#0,#1)|divide(#2,const_100)| | "explanation : given , number is divisible by 8 only if ' a 24 ' is divisible by 8 . . : highest value of a is ' 8 ' . answer : option b" | general |
math_qa__E2YI8Oukm5F7r9xx | In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 70 as quotient. What is the correct quotient ? Choose the correct choice: A) 0 B) 12 C) 13 D) 40 E) 25 | <gadget id="calculator">12 * 70</gadget>
<output>840</output>
<gadget id="calculator">840 / 21</gadget>
<output>40</output>
<result>D</result> | D | 40 | In a division sum, the remainder is 0. As student mistook the divisor by 12 instead of 21 and obtained 70 as quotient. What is the correct quotient ? | {
"A": "0",
"B": "12",
"C": "13",
"D": "40",
"E": "25"
} | divide(multiply(12, 70), 21) | multiply(n1,n3)|divide(#0,n2)| | "12 * 70 = 840 840 % 21 = 40 answer : d" | general |
math_qa__6DlLLqbdQsYxuMKN | Last year a certain bond price with a face value of 5000 yielded 6% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price? Choose the correct choice from the following.
A) 4615
B) 5325
C) 5351
D) 6000
E) 6154 | <gadget id="calculator">6 / 100</gadget>
<output>3/50 = around 0.06</output>
<gadget id="calculator">5_000 * (3/50)</gadget>
<output>300</output>
<gadget id="calculator">6.5 / 100</gadget>
<output>0.065</output>
<gadget id="calculator">300 / 0.065</gadget>
<output>4_615.384615</output>
<result>A</result> | A | 4,615 | Last year a certain bond price with a face value of 5000 yielded 6% of its face value in interest. If that interest was approx 6.5 of the bond's selling price approx what was the bond's selling price? | {
"A": "4615",
"B": "5325",
"C": "5351",
"D": "6000",
"E": "6154"
} | divide(multiply(5000, divide(6, const_100)), divide(6.5, const_100)) | divide(n1,const_100)|divide(n2,const_100)|multiply(n0,#0)|divide(#2,#1) | interest = 0.06 * 5000 = 0.065 * selling price - - > selling price = 0.06 * 5000 / 0.065 - - > selling price = ~ 4,615 answer : a . | gain |
math_qa__uX10FxoRScz9gBhH | There is 60 lit of milk and water in which milk forms 84%.Howmuch water must be added to this solution to make it solution in which milk forms 58%
Choose the correct choice from the following answers
A) 18.75 B) 19.75 C) 26.89 D) 21.75 E) 22.75 | <gadget id="calculator">100 / 58</gadget>
<output>50/29 = around 1.724138</output>
<gadget id="calculator">60 * 84</gadget>
<output>5_040</output>
<gadget id="calculator">5_040 / 100</gadget>
<output>252/5 = around 50.4</output>
<gadget id="calculator">(50/29) * (252/5)</gadget>
<output>2_520/29 = around 86.896552</output>
<gadget id="calculator">(2_520/29) - 60</gadget>
<output>780/29 = around 26.896552</output>
<result>C</result> | C | 26.89 | There is 60 lit of milk and water in which milk forms 84%.Howmuch water must be added to this solution to make it solution in which milk forms 58% | {
"A": "18.75",
"B": "19.75",
"C": "26.89",
"D": "21.75",
"E": "22.75"
} | subtract(multiply(divide(const_100, 58), divide(multiply(60, 84), const_100)), 60) | divide(const_100,n2)|multiply(n0,n1)|divide(#1,const_100)|multiply(#0,#2)|subtract(#3,n0)| | "60 * 84 / 100 = 50.40 lit milk that is 9.60 lit water let x lit water will be added then ( 60 + x ) * 58 / 100 = 50.40 so x = 26.89 answer : c" | gain |
math_qa__yw0an4pXSHkJQAyL | The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:14. If P invested the money for 5 months, find for how much time did Q invest the money? Pick:
A) 19 B) 14 C) 13 D) 10 E) 12 | <gadget id="calculator">7 / 5</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">14 / 7</gadget>
<output>2</output>
<gadget id="calculator">(7/5) * 2</gadget>
<output>14/5 = around 2.8</output>
<gadget id="calculator">(14/5) * 5</gadget>
<output>14</output>
<result>B</result> | B | 14 | The ratio of investments of two partners P and Q is 7:5 and the ratio of their profits is 7:14. If P invested the money for 5 months, find for how much time did Q invest the money? | {
"A": "19",
"B": "14",
"C": "13",
"D": "10",
"E": "12"
} | multiply(multiply(divide(7, 5), divide(14, 7)), 5) | divide(n0,n1)|divide(n3,n2)|multiply(#0,#1)|multiply(n4,#2)| | "7 * 5 : 5 * x = 7 : 14 x = 14 answer : b" | gain |
math_qa__vhNIXVPsQ1DLklvD | A rectangular tank needs to be coated with insulation. The tank has dimensions of 3 feet, 7 feet, and 2 feet. Each square foot of insulation costs $20. How much will it cost to cover the surface of the tank with insulation?
Choose the correct choice from the following choices:
A) $ 880
B) $ 1050
C) $ 1280
D) $ 1460
E) $ 1640 | <gadget id="calculator">2 * (3 * 7 + 7 * 2 + 3 * 2)</gadget>
<output>82</output>
<gadget id="calculator">82 * 20</gadget>
<output>1_640</output>
<result>E</result> | E | 1,640 | A rectangular tank needs to be coated with insulation. The tank has dimensions of 3 feet, 7 feet, and 2 feet. Each square foot of insulation costs $20. How much will it cost to cover the surface of the tank with insulation? | {
"A": "$ 880",
"B": "$ 1050",
"C": "$ 1280",
"D": "$ 1460",
"E": "$ 1640"
} | multiply(surface_rectangular_prism(3, 7, 2), 20) | surface_rectangular_prism(n0,n1,n2)|multiply(n3,#0)| | "the total surface area is 2 ( 2 * 3 + 3 * 7 + 2 * 7 ) = 82 square feet the total cost is 82 * $ 20 = $ 1640 the answer is e ." | geometry |
math_qa__SrmaG1tRPhdjnFUI | A company pays 12.5% dividend to its investors. If an investor buys Rs.50 shares and gets 25% on investment, at what price did the investor buy the shares?
Choose the correct choice from the following answers:
A) 25 B) 66 C) 18 D) 19 E) 01 | <gadget id="calculator">12.5 * 50</gadget>
<output>625</output>
<gadget id="calculator">625 / 100</gadget>
<output>25/4 = around 6.25</output>
<gadget id="calculator">(25/4) * 100</gadget>
<output>625</output>
<gadget id="calculator">625 / 25</gadget>
<output>25</output>
<result>A</result> | A | 25 | A company pays 12.5% dividend to its investors. If an investor buys Rs.50 shares and gets 25% on investment, at what price did the investor buy the shares? | {
"A": "25",
"B": "66",
"C": "18",
"D": "19",
"E": "01"
} | divide(multiply(divide(multiply(12.5, 50), const_100), const_100), 25) | multiply(n0,n1)|divide(#0,const_100)|multiply(#1,const_100)|divide(#2,n2)| | "explanation : dividend on 1 share = ( 12.5 * 50 ) / 100 = rs . 6.25 rs . 25 is income on an investment of rs . 100 rs . 6.25 is income on an investment of rs . ( 6.25 * 100 ) / 25 = rs . 25 answer : a" | gain |
math_qa__WOcchMxytccGxJZ8 | A box contains 10 tablets of medicine A and 13 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted. Options:
A) 12
B) 15
C) 17
D) 19
E) 21 | <gadget id="calculator">13 + 2</gadget>
<output>15</output>
<result>B</result> | B | 15 | A box contains 10 tablets of medicine A and 13 tablets of medicine B. What is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted. | {
"A": "12",
"B": "15",
"C": "17",
"D": "19",
"E": "21"
} | add(13, const_2) | add(n1,const_2)| | "the worst case scenario will be if we remove all 13 tablets of medicine b first . the next 2 tablets we remove have to be of medicine a , so to guarantee that at least two tablets of each kind will be taken we should remove minimum of 13 + 2 = 15 tablets . answer : b ." | general |
math_qa__lRYmq8Hpl6qRW8oo | Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes at 13 km/hr downstream and 4 km/hr upstream. Choose the correct option.
A) 4.5 kmph B) 9.5 kmph C) 7.5 kmph D) 8.5 kmph E) 5.5 kmph | <gadget id="calculator">13 + 4</gadget>
<output>17</output>
<gadget id="calculator">17 / 2</gadget>
<output>17/2 = around 8.5</output>
<result>D</result> | D | 8.5 | Calculate the speed of a boat in still water (in km/hr) if in one hour, the boat goes at 13 km/hr downstream and 4 km/hr upstream. | {
"A": "4.5 kmph",
"B": "9.5 kmph",
"C": "7.5 kmph",
"D": "8.5 kmph",
"E": "5.5 kmph"
} | divide(add(13, 4), const_2) | add(n0,n1)|divide(#0,const_2)| | "speed in still water = ( 13 + 4 ) 1 / 2 kmph = 8.5 kmph . answer : d" | physics |
math_qa__o3e7xNcHkIi8Q0WA | Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes 7 hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car? Answers:
A) 7 / 4
B) 4 / 3
C) 15 / 4
D) 10 / 3
E) 64 / 21 | <gadget id="calculator">4 + 2</gadget>
<output>6</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 7</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">(1/6) + (1/7)</gadget>
<output>13/42 = around 0.309524</output>
<gadget id="calculator">(13/42) * 2</gadget>
<output>13/21 = around 0.619048</output>
<gadget id="calculator">1 - (13/21)</gadget>
<output>8/21 = around 0.380952</output>
<gadget id="calculator">(8/21) / (1/7)</gadget>
<output>8/3 = around 2.666667</output>
<gadget id="calculator">max(8/3, 3)</gadget>
<output>3</output>
<result>E</result> | E | 3.047619 | Two mechanics were working on your car. One can complete the given job in six hours, but the new guy takes 7 hours. They worked together for the first two hours, but then the first guy left to help another mechanic on a different job. How long will it take the new guy to finish your car? | {
"A": "7 / 4",
"B": "4 / 3",
"C": "15 / 4",
"D": "10 / 3",
"E": "64 / 21"
} | max(divide(subtract(const_1, multiply(add(divide(const_1, add(const_4, const_2)), divide(const_1, 7)), const_2)), divide(const_1, 7)), const_3) | add(const_2,const_4)|divide(const_1,n0)|divide(const_1,#0)|add(#2,#1)|multiply(#3,const_2)|subtract(const_1,#4)|divide(#5,#1)|max(#6,const_3) | rate ( 1 ) = 1 / 6 rate ( 2 ) = 1 / 7 combined = 13 / 42 work done in 2 days = 13 / 21 work left = 8 / 21 rate * time = work left 1 / 8 * time = 8 / 21 time = 64 / 21 e | physics |
math_qa__cT9Soh1cwxuOYZtF | Of 70 players on a football team, 28 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total? Choose one
A) 56
B) 59
C) 63
D) 71
E) 92 | <gadget id="calculator">1 / 3</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">70 - 28</gadget>
<output>42</output>
<gadget id="calculator">(2/3) * 42</gadget>
<output>28</output>
<gadget id="calculator">28 + 28</gadget>
<output>56</output>
<result>A</result> | A | 56 | Of 70 players on a football team, 28 are throwers. The rest of the team is divided so one third are left- handed and the rest are right handed. Assuming that all throwers are right handed, how many right- handed players are there total? | {
"A": "56",
"B": "59",
"C": "63",
"D": "71",
"E": "92"
} | add(multiply(subtract(const_1, divide(const_1, const_3)), subtract(70, 28)), 28) | divide(const_1,const_3)|subtract(n0,n1)|subtract(const_1,#0)|multiply(#2,#1)|add(n1,#3)| | "total = 70 thrower = 28 rest = 70 - 28 = 42 left handed = 42 / 3 = 14 right handed = 28 if all thrower are right handed then total right handed is 28 + 28 = 56 so a . 56 is the right answer" | general |
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