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stringlengths 7
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math_qa__cAALS4nyldHJBNf6 | 12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required Choose the correct answer: A) 8 days B) 3 days C) 7 days D) 5 days E) 6 days | <gadget id="calculator">12 * 10</gadget>
<output>120</output>
<gadget id="calculator">120 * 8</gadget>
<output>960</output>
<gadget id="calculator">8 * 15</gadget>
<output>120</output>
<gadget id="calculator">960 / 120</gadget>
<output>8</output>
<result>A</result> | A | 8 | 12 men work 8 hours per day to complete the work in 10 days. To complete the same work in 8 days, working 15 hours a day, the number of men required | {
"A": "8 days",
"B": "3 days",
"C": "7 days",
"D": "5 days",
"E": "6 days"
} | divide(multiply(multiply(12, 10), 8), multiply(8, 15)) | multiply(n0,n2)|multiply(n3,n4)|multiply(n1,#0)|divide(#2,#1)| | "that is , 1 work done = 12 Γ 8 Γ 10 then , 12 8 Γ 10 = ? Γ 15 Γ 8 ? ( i . e . no . of men required ) = 12 Γ 8 Γ 10 / 15 Γ 10 = 8 days . a" | physics |
math_qa__zfcKDmnmOEYSYlAy | If x is an integer and 2.134 Γ 10^x is less than 220,000, what is the greatest possible value for x?
Pick one
A) 7 B) 6 C) 5 D) 4 E) 3 | <gadget id="calculator">220_000 / 2.134</gadget>
<output>103_092.783505</output>
<gadget id="calculator">log(103_092.783505)</gadget>
<output>11.543385</output>
<gadget id="calculator">log(10)</gadget>
<output>log(10) = around 2.302585</output>
<gadget id="calculator">11.543385 / log(10)</gadget>
<output>11.543385/log(10) = around 5.013228</output>
<gadget id="calculator">floor(11.543385/log(10))</gadget>
<output>5</output>
<result>C</result> | C | 5 | If x is an integer and 2.134 Γ 10^x is less than 220,000, what is the greatest possible value for x? | {
"A": "7",
"B": "6",
"C": "5",
"D": "4",
"E": "3"
} | floor(divide(log(divide(220,000, 2.134)), log(10))) | divide(n2,n0)|log(n1)|log(#0)|divide(#2,#1)|floor(#3)| | "x is an integer and 2.134 Γ 10 x is less than 220,000 , what is the greatest possible value for x ? for 2.134 Γ 10 x is less than 220,000 to remain true , the greatest number is 213,400 , which makes x = 5 c . 5" | general |
math_qa__mdywJWiBmUJc2sEj | Calculate 469157 x 9999 = ? Choose the most appropriate option: A) 4586970843 B) 4686970743 C) 4691100843 D) 4586870843 E) none | <gadget id="calculator">469_157 * 9_999</gadget>
<output>4_691_100_843</output>
<result>C</result> | C | 4,691,100,843 | Calculate 469157 x 9999 = ? | {
"A": "4586970843",
"B": "4686970743",
"C": "4691100843",
"D": "4586870843",
"E": "none"
} | multiply(469157, 9999) | multiply(n0,n1)| | "answer 469157 x 9999 = 469157 x ( 10000 - 1 ) = 4691570000 - 469157 = 4691100843 . option : c" | general |
math_qa__kSR41qGdGVZbvoW2 | The area of a square field is 400 km2. How long will it take for a horse to run around at the speed of 20 km/h ? Choose one:
A) 12 h B) 10 h C) 4 h D) 6 h E) none of these | <gadget id="calculator">400 ** (1/2)</gadget>
<output>20</output>
<gadget id="calculator">4 * 20</gadget>
<output>80</output>
<gadget id="calculator">80 / 20</gadget>
<output>4</output>
<result>C</result> | C | 4 | The area of a square field is 400 km2. How long will it take for a horse to run around at the speed of 20 km/h ? | {
"A": "12 h",
"B": "10 h",
"C": "4 h",
"D": "6 h",
"E": "none of these"
} | divide(multiply(const_4, sqrt(400)), 20) | sqrt(n0)|multiply(#0,const_4)|divide(#1,n2)| | explanation area of field = 400 km 2 . then , each side of field = β 400 = 20 km distance covered by the horse = perimeter of square field = 20 Γ 4 = 80 km β΄ time taken by horse = distances / peed = 80 / 20 = 4 h answer c | geometry |
math_qa__rhzMbAp7rRLW7M8I | There are 10 dozen mangoes in a box. If there are 36
such boxes, how many mangoes are there in all the
boxes together? Choose the most appropriate option: A) 516 B) 3096 C) 6192 D) 628 E) 4320 | <gadget id="calculator">36 * 10</gadget>
<output>360</output>
<gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">360 * 12</gadget>
<output>4_320</output>
<result>E</result> | E | 4,320 | There are 10 dozen mangoes in a box. If there are 36
such boxes, how many mangoes are there in all the
boxes together? | {
"A": "516",
"B": "3096",
"C": "6192",
"D": "628",
"E": "4320"
} | multiply(multiply(36, 10), add(const_10, const_2)) | add(const_10,const_2)|multiply(n0,n1)|multiply(#0,#1) | number of mangoes = 12 dozens = 12 Γ 10 = 120 β΄ number of mangoes in 36 boxes = 36 Γ 120 = 4320 answer e | general |
math_qa__xX1DUQ3VRdJDNv0x | If A and B are in the ratio 3:4, and B and C in the ratio 12:13, then A and C will be in the ratio Choose the correct choice from the following answers: A) 3 : 13 B) 9 : 13 C) 36 : 13 D) 13 : 9 E) none | <gadget id="calculator">3 * 3</gadget>
<output>9</output>
<gadget id="calculator">9 / 13</gadget>
<output>9/13 = around 0.692308</output>
<result>B</result> | B | 0.692308 | If A and B are in the ratio 3:4, and B and C in the ratio 12:13, then A and C will be in the ratio | {
"A": "3 : 13",
"B": "9 : 13",
"C": "36 : 13",
"D": "13 : 9",
"E": "none"
} | divide(multiply(3, const_3), 13) | multiply(n0,const_3)|divide(#0,n3) | solution : ( a / b ) * ( b / c ) = ( 3 / 4 ) * ( 12 / 13 ) ; or , a / b = 36 / 39 = 9 : 13 . answer : option b | other |
math_qa__BsbsdYzlveYKhpN7 | the sum of a number and the number preceding it is 33 . by how much is two less than 6 times the number ? Pick one.
A) 196 B) 94 C) 90 D) 100 E) 120 | <gadget id="calculator">4 * 4</gadget>
<output>16</output>
<gadget id="calculator">33 - 16</gadget>
<output>17</output>
<gadget id="calculator">17 * 6</gadget>
<output>102</output>
<gadget id="calculator">102 - 2</gadget>
<output>100</output>
<result>D</result> | D | 100 | the sum of a number and the number preceding it is 33 . by how much is two less than 6 times the number ? | {
"A": "196",
"B": "94",
"C": "90",
"D": "100",
"E": "120"
} | subtract(multiply(subtract(33, multiply(const_4, const_4)), 6), const_2) | multiply(const_4,const_4)|subtract(n0,#0)|multiply(n1,#1)|subtract(#2,const_2) | two numbers must be 16 and 17 16 + 17 = 33 required number is 17 six times of this number = 6 * 17 = 102 two less than 102 = 102 - 2 = 100 answer : d | general |
math_qa__ioAwU5gdk58Ab6fa | What is the smallest integer x for which 27^x > 3^24? Options: A) 7 B) 8 C) 9 D) 10 E) 12 | <gadget id="calculator">24 / 3</gadget>
<output>8</output>
<gadget id="calculator">floor(8)</gadget>
<output>8</output>
<gadget id="calculator">8 + 1</gadget>
<output>9</output>
<result>C</result> | C | 9 | What is the smallest integer x for which 27^x > 3^24? | {
"A": "7",
"B": "8",
"C": "9",
"D": "10",
"E": "12"
} | add(floor(divide(24, const_3)), const_1) | divide(n2,const_3)|floor(#0)|add(#1,const_1)| | "27 ^ x > 3 ^ 24 converting into the same bases : 27 ^ x > 27 ^ 8 therefore for the equation to hold true , x > 8 or x = 9 option c" | general |
math_qa__J4XDSJtreGgESfA4 | A shopkeeper sold an article offering a discount of 4% and earned a profit of 38%. What would have been the percentage of profit earned if no discount was offered? Select: A) 24 B) 28 C) 30 D) 32 E) 44 | <gadget id="calculator">100 + 38</gadget>
<output>138</output>
<gadget id="calculator">138 * 100</gadget>
<output>13_800</output>
<gadget id="calculator">100 - 4</gadget>
<output>96</output>
<gadget id="calculator">13_800 / 96</gadget>
<output>575/4 = around 143.75</output>
<gadget id="calculator">(575/4) - 100</gadget>
<output>175/4 = around 43.75</output>
<result>E</result> | E | 44 | A shopkeeper sold an article offering a discount of 4% and earned a profit of 38%. What would have been the percentage of profit earned if no discount was offered? | {
"A": "24",
"B": "28",
"C": "30",
"D": "32",
"E": "44"
} | subtract(divide(multiply(add(const_100, 38), const_100), subtract(const_100, 4)), const_100) | add(n1,const_100)|subtract(const_100,n0)|multiply(#0,const_100)|divide(#2,#1)|subtract(#3,const_100)| | "let c . p . be rs . 100 . then , s . p . = rs . 138 let marked price be rs . x . then , 96 / 100 x = 138 x = 13800 / 96 = rs . 143.75 now , s . p . = rs . 143.75 , c . p . = rs . 100 profit % = 44 % . answer : e" | gain |
math_qa__Z5Oka9GplDx5wKhT | Two trains of length 160 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet? Select the correct option.
A) 10 sec B) 32 sec C) 82 sec D) 24 sec E) 89 sec | <gadget id="calculator">160 + 320</gadget>
<output>480</output>
<gadget id="calculator">42 + 30</gadget>
<output>72</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">72 * (5/18)</gadget>
<output>20</output>
<gadget id="calculator">480 / 20</gadget>
<output>24</output>
<result>D</result> | D | 24 | Two trains of length 160 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively. In what time will they be clear of each other from the moment they meet? | {
"A": "10 sec",
"B": "32 sec",
"C": "82 sec",
"D": "24 sec",
"E": "89 sec"
} | divide(add(160, 320), multiply(add(42, 30), const_0_2778)) | add(n0,n1)|add(n2,n3)|multiply(#1,const_0_2778)|divide(#0,#2)| | "relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 160 + 320 = 480 m . the time required = d / s = 480 / 20 = 24 sec . answer : d" | physics |
math_qa__wyIo4RNxNGvL76Yq | Solve(0.76 Γ 0.76 Γ 0.76 β 0.008)/(0.76 Γ 0.76 + 0.76 Γ 0.2 + 0.04) Options: A) 0.56 B) 0.62 C) 0.5 D) 0.48 E) 0.52 | <gadget id="calculator">0.76 * 0.76</gadget>
<output>0.5776</output>
<gadget id="calculator">0.5776 * 0.76</gadget>
<output>0.438976</output>
<gadget id="calculator">0.438976 - 0.008</gadget>
<output>0.430976</output>
<gadget id="calculator">0.76 * 0.2</gadget>
<output>0.152</output>
<gadget id="calculator">0.5776 + 0.152</gadget>
<output>0.7296</output>
<gadget id="calculator">0.7296 + 0.04</gadget>
<output>0.7696</output>
<gadget id="calculator">0.430976 / 0.7696</gadget>
<output>0.56</output>
<result>A</result> | A | 0.56 | Solve(0.76 Γ 0.76 Γ 0.76 β 0.008)/(0.76 Γ 0.76 + 0.76 Γ 0.2 + 0.04) | {
"A": "0.56",
"B": "0.62",
"C": "0.5",
"D": "0.48",
"E": "0.52"
} | divide(subtract(multiply(multiply(0.76, 0.76), 0.76), 0.008), add(add(multiply(0.76, 0.76), multiply(0.76, 0.2)), 0.04)) | multiply(n0,n0)|multiply(n0,n7)|add(#0,#1)|multiply(n0,#0)|add(n8,#2)|subtract(#3,n3)|divide(#5,#4) | 0.56 option ' a ' | general |
math_qa__YTLFr47ZVewvuWju | What is the maximum area that can be enclosed by a wire 44cm long ? Options.
A) 77 B) 154 C) 308 D) 318 E) none of these | <gadget id="calculator">44 / 2</gadget>
<output>22</output>
<gadget id="calculator">22 / pi</gadget>
<output>22/pi = around 7.002817</output>
<gadget id="calculator">pi * ((22/pi) ** 2)</gadget>
<output>484/pi = around 154.061985</output>
<result>B</result> | B | 154 | What is the maximum area that can be enclosed by a wire 44cm long ? | {
"A": "77",
"B": "154",
"C": "308",
"D": "318",
"E": "none of these"
} | circle_area(divide(divide(44, const_2), const_pi)) | divide(n0,const_2)|divide(#0,const_pi)|circle_area(#1) | perimeter of circle = 2 * 22 / 7 * r = 44 cm from this r = 7 then area of circle = 22 / 7 * r ^ 2 = 154 answer : b | physics |
math_qa__bFWogFAaZmv83Kr1 | Find the value of 80641 x 9999 = m? Choose the correct choice from the following answers
A) 807518799 B) 806436469 C) 807538799 D) 806329359 E) 817431046 | <gadget id="calculator">9_999 - 4</gadget>
<output>9_995</output>
<gadget id="calculator">9_995 * 80_641</gadget>
<output>806_006_795</output>
<result>D</result> | D | 806,329,359 | Find the value of 80641 x 9999 = m? | {
"A": "807518799",
"B": "806436469",
"C": "807538799",
"D": "806329359",
"E": "817431046"
} | multiply(subtract(9999, const_4), 80641) | subtract(n1,const_4)|multiply(#0,n0)| | "80641 x 9999 = 80641 x ( 10000 - 1 ) = 80641 x 10000 - 80641 x 1 = 806410000 - 80641 = 806329359 d" | general |
math_qa__7td295BWDUxb73W8 | 3889 + 12.952 β ? = 3854.002 Choices
A) 47.095 B) 47.752 C) 47.932 D) 47.95 E) none | <gadget id="calculator">3_889 + 12.952</gadget>
<output>3_901.952</output>
<gadget id="calculator">3_901.952 - 3_854.002</gadget>
<output>47.95</output>
<result>D</result> | D | 47.95 | 3889 + 12.952 β ? = 3854.002 | {
"A": "47.095",
"B": "47.752",
"C": "47.932",
"D": "47.95",
"E": "none"
} | subtract(add(3889, 12.952), 3854.002) | add(n0,n1)|subtract(#0,n2) | explanation let 3889 + 12.952 β x = 3854.002 . then x = ( 3889 + 12.952 ) β 3854.002 = 3901.952 β 3854.002 = 47.95 . answer d | general |
math_qa__vEEZCgo3uwDT6gaM | Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 9 inches on a side and costs $10, and a large pizza that measures 14 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone? Pick one.
A) 5 square inches
B) 10 square inches
C) 15 square inches
D) 25 square inches
E) 34 square inches | <gadget id="calculator">14 ** 2</gadget>
<output>196</output>
<gadget id="calculator">196 * 3</gadget>
<output>588</output>
<gadget id="calculator">9 ** 2</gadget>
<output>81</output>
<gadget id="calculator">81 + 196</gadget>
<output>277</output>
<gadget id="calculator">277 + 277</gadget>
<output>554</output>
<gadget id="calculator">588 - 554</gadget>
<output>34</output>
<result>E</result> | E | 34 | Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 9 inches on a side and costs $10, and a large pizza that measures 14 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone? | {
"A": "5 square inches",
"B": "10 square inches",
"C": "15 square inches",
"D": "25 square inches",
"E": "34 square inches"
} | subtract(multiply(power(14, const_2), const_3), add(add(power(9, const_2), power(14, const_2)), add(power(9, const_2), power(14, const_2)))) | power(n2,const_2)|power(n0,const_2)|add(#1,#0)|multiply(#0,const_3)|add(#2,#2)|subtract(#3,#4) | in the first case each can buy one pizza of $ 10 and one pizza of $ 20 . in square inches that would be ( 9 * 9 = 81 ) for the small pizza and ( 14 * 14 = 196 ) for the large pizza . in total sq inches that would be ( 81 + 196 ) * 2 = 554 sq inches . in the second case if they pool their money together they can buy 3 large pizzas . in terms of square inches that would be 3 * 196 = 588 sq inches . hence , the difference is 34 square inches more ( 588 - 554 ) . the correct answer is e | geometry |
math_qa__OEb7qreUAPJQVcHl | Which number is a factor of 20?
Pick
A) 3 B) 4 C) 7 D) 18 E) 9 | <gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<result>B</result> | B | 4 | Which number is a factor of 20? | {
"A": "3",
"B": "4",
"C": "7",
"D": "18",
"E": "9"
} | power(const_2, const_2) | power(const_2,const_2) | a whole number that divides exactly into another whole number is called a factor 20 / 5 = 4 answer b | other |
math_qa__Msk1iAmaP9IwksZ3 | There are 2 sections A and B in a class, consisting of 24 and 16 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, Find the average of the whole class? Choose the correct option:
A) 35.29 kg
B) 37.25 kg
C) 42 kg
D) 38 kg
E) 29.78 kg | <gadget id="calculator">24 * 40</gadget>
<output>960</output>
<gadget id="calculator">16 * 35</gadget>
<output>560</output>
<gadget id="calculator">960 + 560</gadget>
<output>1_520</output>
<gadget id="calculator">24 + 16</gadget>
<output>40</output>
<gadget id="calculator">1_520 / 40</gadget>
<output>38</output>
<result>D</result> | D | 38 | There are 2 sections A and B in a class, consisting of 24 and 16 students respectively. If the average weight of section A is 40kg and that of section B is 35kg, Find the average of the whole class? | {
"A": "35.29 kg",
"B": "37.25 kg",
"C": "42 kg",
"D": "38 kg",
"E": "29.78 kg"
} | divide(add(multiply(24, 40), multiply(16, 35)), add(24, 16)) | add(n1,n2)|multiply(n1,n3)|multiply(n2,n4)|add(#1,#2)|divide(#3,#0)| | "total weight of 36 + 44 students = 24 * 40 + 16 * 35 = 1520 average weight of the class is = 1520 / 40 = 38 kg answer is d" | general |
math_qa__9ucIpQ2ygLAbMwVA | If f is the smallest positive integer such that 3,150 multiplied by f is the square of an integer, then f must be Choose the correct answer.
A) 2 B) 5 C) 6 D) 7 E) 14 | <gadget id="calculator">10 + 4</gadget>
<output>14</output>
<result>E</result> | E | 14 | If f is the smallest positive integer such that 3,150 multiplied by f is the square of an integer, then f must be | {
"A": "2",
"B": "5",
"C": "6",
"D": "7",
"E": "14"
} | add(const_10, const_4) | add(const_10,const_4) | solution : this problem is testing us on the rule that when we express a perfect square by its unique prime factors , every prime factor ' s exponent is an even number . let β s start by prime factorizing 3,150 . 3,150 = 315 x 10 = 5 x 63 x 10 = 5 x 7 x 3 x 3 x 5 x 2 3,150 = 2 ^ 1 x 3 ^ 2 x 5 ^ 2 x 7 ^ 1 ( notice that the exponents of both 2 and 7 are not even numbers . this tells us that 3,150 itself is not a perfect square . ) we also are given that 3,150 multiplied by f is the square of an integer . we can write this as : 2 ^ 1 x 3 ^ 2 x 5 ^ 2 x 7 ^ 1 x f = square of an integer according to our rule , we need all unique prime factors ' exponents to be even numbers . thus , we need one more 2 and one more 7 . therefore , y = 7 x 2 = 14 answer is e . | geometry |
math_qa__jlqyjq3hkVHLB5Fs | If x + 4y = 5 and 5x + 6y = 7, then 3x + 5y = ?
Choose the correct choice from the following answers
A) 6 B) 5 C) 4 D) 3 E) 2 | <gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">25 - 7</gadget>
<output>18</output>
<gadget id="calculator">5 * 4</gadget>
<output>20</output>
<gadget id="calculator">20 - 6</gadget>
<output>14</output>
<gadget id="calculator">18 / 14</gadget>
<output>9/7 = around 1.285714</output>
<gadget id="calculator">5 * (9/7)</gadget>
<output>45/7 = around 6.428571</output>
<gadget id="calculator">(9/7) * 4</gadget>
<output>36/7 = around 5.142857</output>
<gadget id="calculator">5 - (36/7)</gadget>
<output>-1/7 = around -0.142857</output>
<gadget id="calculator">(-1/7) * 3</gadget>
<output>-3/7 = around -0.428571</output>
<gadget id="calculator">(45/7) + (-3/7)</gadget>
<output>6</output>
<result>A</result> | A | 6 | If x + 4y = 5 and 5x + 6y = 7, then 3x + 5y = ? | {
"A": "6",
"B": "5",
"C": "4",
"D": "3",
"E": "2"
} | add(multiply(5, divide(subtract(multiply(5, 5), 7), subtract(multiply(5, 4), 6))), multiply(subtract(5, multiply(divide(subtract(multiply(5, 5), 7), subtract(multiply(5, 4), 6)), 4)), 3)) | multiply(n1,n1)|multiply(n0,n1)|subtract(#0,n4)|subtract(#1,n3)|divide(#2,#3)|multiply(n1,#4)|multiply(n0,#4)|subtract(n1,#6)|multiply(n5,#7)|add(#5,#8) | add the left terms and right terms of the two equation to obtain a new equation x + 5 x + 4 y + 6 y = 5 + 7 group and simplify 6 x + 10 y = 12 divide all terms of the above equation by 2 to obtain a new equation 3 x + 5 y = 6 correct answer a | general |
math_qa__n4H4fux5GsPm6YkB | The distance from Steve's house to work is 10 Km. On the way back Steve drives twice as fast as he did on the way to work. Altogether, Steve is spending 6 hours a day on the roads. What is Steve's speed on the way back from work?
Pick:
A) 5 . B) 10 . C) 14 . D) 15 . E) 20 . | <gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">10 + 5</gadget>
<output>15</output>
<gadget id="calculator">15 / 6</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">(5/2) * 2</gadget>
<output>5</output>
<result>A</result> | A | 5 | The distance from Steve's house to work is 10 Km. On the way back Steve drives twice as fast as he did on the way to work. Altogether, Steve is spending 6 hours a day on the roads. What is Steve's speed on the way back from work? | {
"A": "5 .",
"B": "10 .",
"C": "14 .",
"D": "15 .",
"E": "20 ."
} | multiply(divide(add(10, divide(10, const_2)), 6), const_2) | divide(n0,const_2)|add(n0,#0)|divide(#1,n1)|multiply(#2,const_2)| | "time is in the ratio 2 : 1 : : to : fro office therefore , 2 x + 1 x = 6 hrs time take to come back - 2 hrs , distance travelled - 10 km = > speed = 5 kmph a" | physics |
math_qa__uow4hA93xTHFYC1k | 300 first-time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 35% of the customers that had purchased clothes for less than $100 reported they were overall satisfied with their purchase. What percent of the customers surveyed purchased clothes for at least $100 and reported that they were NOT overall satisfied with their purchase? Choose the correct answer.
A) 19 B) 25 C) 35 D) 45 E) 75 | <gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 300</gadget>
<output>120</output>
<gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">60 / 100</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">300 * (3/5)</gadget>
<output>180</output>
<gadget id="calculator">(7/20) * 180</gadget>
<output>63</output>
<gadget id="calculator">120 - 63</gadget>
<output>57</output>
<gadget id="calculator">57 / 300</gadget>
<output>19/100 = around 0.19</output>
<gadget id="calculator">(19/100) * 100</gadget>
<output>19</output>
<result>A</result> | A | 19 | 300 first-time customers of a fashion store were surveyed for their shopping experience right after leaving the store. 60% of the customers in the survey had purchased clothes for less than $100. 40% of the customers in the survey reported they were overall satisfied with their purchase. 35% of the customers that had purchased clothes for less than $100 reported they were overall satisfied with their purchase. What percent of the customers surveyed purchased clothes for at least $100 and reported that they were NOT overall satisfied with their purchase? | {
"A": "19",
"B": "25",
"C": "35",
"D": "45",
"E": "75"
} | multiply(divide(subtract(multiply(divide(40, 100), 300), multiply(divide(35, 100), multiply(300, divide(60, 100)))), 300), const_100) | divide(n3,n2)|divide(n4,n2)|divide(n1,n2)|multiply(n0,#0)|multiply(n0,#2)|multiply(#1,#4)|subtract(#3,#5)|divide(#6,n0)|multiply(#7,const_100) | out of 300 - 180 purchased for less than 100 $ 120 for more out of 300 - 120 responded as satisfied and 180 responded disatisfied out of 180 ( purchased less than 100 $ ) - 35 % = 63 responded as satisfied , so remaining satisfied are 120 - 63 = 57 so 57 is what percentage of 300 - 19 % so the answer should be a | general |
math_qa__WyGxkHrfcJc89RcL | ?% of 360 = 126 Pick
A) 277 B) 35 C) 64 D) 72 E) none of these | <gadget id="calculator">126 * 100</gadget>
<output>12_600</output>
<gadget id="calculator">12_600 / 360</gadget>
<output>35</output>
<result>B</result> | B | 35 | ?% of 360 = 126 | {
"A": "277",
"B": "35",
"C": "64",
"D": "72",
"E": "none of these"
} | divide(multiply(126, const_100), 360) | multiply(n1,const_100)|divide(#0,n0)| | "? % of 360 = 126 or , ? = 126 Γ 100 / 360 = 35 answer b" | gain |
math_qa__4AUvP4Aq1xKvix0B | The area of a circle of radius 5 is numerically what percent of its circumference? Select:
A) 200
B) 225
C) 240
D) 250
E) none | <gadget id="calculator">pi * (5 ** 2)</gadget>
<output>25*pi = around 78.539816</output>
<gadget id="calculator">2 * pi * 5</gadget>
<output>10*pi = around 31.415927</output>
<gadget id="calculator">(25*pi) / (10*pi)</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">100 * (5/2)</gadget>
<output>250</output>
<result>D</result> | D | 250 | The area of a circle of radius 5 is numerically what percent of its circumference? | {
"A": "200",
"B": "225",
"C": "240",
"D": "250",
"E": "none"
} | multiply(const_100, divide(circle_area(5), circumface(5))) | circle_area(n0)|circumface(n0)|divide(#0,#1)|multiply(#2,const_100) | solution required % = [ Ο x ( 5 ) 2 / 2 Ο x 5 x 100 ] % βΉ = βΊ 250 % . answer d | geometry |
math_qa__Gs0d5gsxNylyVvi3 | Jony walks along Sunrise Boulevard daily. He starts walking at 07:00 from block 10 and walks to block 90 where he turns around and walks back to block 70, where he stops at 07:40. The blocks along the boulevard are numbered sequentially (1,2,3), and each block measures 40 meters. What is Jony's speed in meters per minute? Choose the correct answer
A) 88 B) 100 C) 198 D) 216 E) 252 | <gadget id="calculator">90 - 10</gadget>
<output>80</output>
<gadget id="calculator">80 * 40</gadget>
<output>3_200</output>
<gadget id="calculator">90 - 70</gadget>
<output>20</output>
<gadget id="calculator">20 * 40</gadget>
<output>800</output>
<gadget id="calculator">3_200 + 800</gadget>
<output>4_000</output>
<gadget id="calculator">4_000 / 40</gadget>
<output>100</output>
<result>B</result> | B | 100 | Jony walks along Sunrise Boulevard daily. He starts walking at 07:00 from block 10 and walks to block 90 where he turns around and walks back to block 70, where he stops at 07:40. The blocks along the boulevard are numbered sequentially (1,2,3), and each block measures 40 meters. What is Jony's speed in meters per minute? | {
"A": "88",
"B": "100",
"C": "198",
"D": "216",
"E": "252"
} | divide(add(multiply(subtract(90, 10), 40), multiply(subtract(90, 70), 40)), 40) | subtract(n3,n2)|subtract(n3,n4)|multiply(n6,#0)|multiply(n6,#1)|add(#2,#3)|divide(#4,n6) | total distance from 10 to 90 = 80 + from 90 to 70 = 20 so the dist is 100 Γ 40 ( per block dist ) speed = 4000 mts / 40 min = 100 m / min b is the answer | physics |
math_qa__UwNmyRdQOfuly3i7 | Car A is 40 miles behind car B, which is traveling in the same direction along the same route as Car A.Car A is traveling at a constant speed of 58 miles per hour and Car Bis traveling at a constant speed of 50miles per hour.How many hours will it take for Car A to overtake and drive 8 miles ahead of Car B? Choose the correct answer.
A) 5 B) 6 C) 7 D) 5.5 E) 6.5 | <gadget id="calculator">40 + 8</gadget>
<output>48</output>
<gadget id="calculator">58 - 50</gadget>
<output>8</output>
<gadget id="calculator">48 / 8</gadget>
<output>6</output>
<result>B</result> | B | 6 | Car A is 40 miles behind car B, which is traveling in the same direction along the same route as Car A.Car A is traveling at a constant speed of 58 miles per hour and Car Bis traveling at a constant speed of 50miles per hour.How many hours will it take for Car A to overtake and drive 8 miles ahead of Car B? | {
"A": "5",
"B": "6",
"C": "7",
"D": "5.5",
"E": "6.5"
} | divide(add(40, 8), subtract(58, 50)) | add(n0,n3)|subtract(n1,n2)|divide(#0,#1)| | "relative speed of car a is 58 - 50 = 8 miles per hour , to catch up 40 miles and drive 8 miles ahead so to drive 48 miles it ' ll need 48 / 8 = 6 hours . answer : b" | physics |
math_qa__r6szyQtDST8DCqbQ | Two fill taps A and B can separately fill a cistern in 45 and 40 minutes respectively. They started to fill a cistern together but tap A is turned off after few minutes and tap B fills the rest part of cistern in 23 minutes. After how many minutes,was tap A turned-off? Choose the correct choice from the following options
A) 9 min
B) 10 min
C) 12 min
D) 7 min
E) none of these | <gadget id="calculator">1 / 40</gadget>
<output>1/40 = around 0.025</output>
<gadget id="calculator">(1/40) * 23</gadget>
<output>23/40 = around 0.575</output>
<gadget id="calculator">1 - (23/40)</gadget>
<output>17/40 = around 0.425</output>
<gadget id="calculator">1 / 45</gadget>
<output>1/45 = around 0.022222</output>
<gadget id="calculator">(1/45) + (1/40)</gadget>
<output>17/360 = around 0.047222</output>
<gadget id="calculator">(17/40) / (17/360)</gadget>
<output>9</output>
<result>A</result> | A | 9 | Two fill taps A and B can separately fill a cistern in 45 and 40 minutes respectively. They started to fill a cistern together but tap A is turned off after few minutes and tap B fills the rest part of cistern in 23 minutes. After how many minutes,was tap A turned-off? | {
"A": "9 min",
"B": "10 min",
"C": "12 min",
"D": "7 min",
"E": "none of these"
} | divide(subtract(const_1, multiply(speed(const_1, 40), 23)), add(speed(const_1, 45), speed(const_1, 40))) | speed(const_1,n1)|speed(const_1,n0)|add(#1,#0)|multiply(n2,#0)|subtract(const_1,#3)|divide(#4,#2) | let a was turned off after x min . then , cistern filled by a in x min + cistern filled by b in ( x + 23 ) min = 1 β x / 45 + x + 23 / 40 = 1 β 17 x + 207 = 360 β x = 9 min . answer a | physics |
math_qa__Ts9JXrUfal5EEnYG | Find the compound interest on $1200 for 4 years at 20% p.a. if CI is component yearly? Choose one.
A) $ 120 B) $ 150 C) $ 1288 D) $ 250 E) $ 300 | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">(6/5) ** 4</gadget>
<output>1_296/625 = around 2.0736</output>
<gadget id="calculator">1_200 * (1_296/625)</gadget>
<output>62_208/25 = around 2_488.32</output>
<gadget id="calculator">(62_208/25) - 1_200</gadget>
<output>32_208/25 = around 1_288.32</output>
<result>C</result> | C | 1,288 | Find the compound interest on $1200 for 4 years at 20% p.a. if CI is component yearly? | {
"A": "$ 120",
"B": "$ 150",
"C": "$ 1288",
"D": "$ 250",
"E": "$ 300"
} | subtract(multiply(1200, power(add(const_1, divide(20, const_100)), 4)), 1200) | divide(n2,const_100)|add(#0,const_1)|power(#1,n1)|multiply(n0,#2)|subtract(#3,n0)| | "a = p ( 1 + r / 100 ) ^ t = 1200 ( 1 + 20 / 100 ) ^ 4 = $ 2488 ci = $ 1288 answer is c" | gain |
math_qa__7GFxobeZ2efzVouQ | In a company 10% of male staff are same in number as 1/4th of the female staff. What is the ratio of
male staff to female staff
Choose the correct choice.
A) 3 : 2 B) 5 : 2 C) 2 : 1 D) 4 : 3 E) 1 : 2 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/4) / (1/10)</gadget>
<output>5/2 = around 2.5</output>
<result>B</result> | B | 2.5 | In a company 10% of male staff are same in number as 1/4th of the female staff. What is the ratio of
male staff to female staff | {
"A": "3 : 2",
"B": "5 : 2",
"C": "2 : 1",
"D": "4 : 3",
"E": "1 : 2"
} | divide(divide(1, 4), divide(10, const_100)) | divide(n1,n2)|divide(n0,const_100)|divide(#0,#1) | 10 % of ms = 1 / 4 th of fs - > 10 ms / 100 = 1 / 4 fs - > ms = 5 / 2 fs : . ms / fs = 5 / 2 = ms : fs = 5 : 2 answer : b | other |
math_qa__dAzdNFR3NOcKhJBZ | The ratio, by volume, of bleach to detergent to water in a certain solution is 2 : 25 : 100. The solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved. If the altered solution will contain 300 liters of water, how many liters of detergent will it contain?
Answers.
A) 40 B) 45 C) 50 D) 75 / 2 E) 35 | <gadget id="calculator">300 / 100</gadget>
<output>3</output>
<gadget id="calculator">25 / 2</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">3 * (25/2)</gadget>
<output>75/2 = around 37.5</output>
<result>D</result> | D | 37.5 | The ratio, by volume, of bleach to detergent to water in a certain solution is 2 : 25 : 100. The solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved. If the altered solution will contain 300 liters of water, how many liters of detergent will it contain? | {
"A": "40",
"B": "45",
"C": "50",
"D": "75 / 2",
"E": "35"
} | multiply(divide(300, 100), divide(25, const_2)) | divide(n3,n2)|divide(n1,const_2)|multiply(#0,#1)| | "b : d : w = 2 : 25 : 100 bnew / dnew = ( 1 / 3 ) * ( 2 / 25 ) = ( 2 / 75 ) dnew / wnew = ( 1 / 2 ) * ( 25 / 100 ) = ( 1 / 8 ) wnew = 300 dnew = wnew / 5 = 300 / 8 = 75 / 2 so , answer will be d" | other |
math_qa__pZckw4nvFdOgtfE0 | The average weight of 10 persons increases by 6.3 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person? Choose the correct answer
A) 176 kg
B) 80 kg
C) 185 kg
D) 90 kg
E) 128 kg | <gadget id="calculator">10 * 6.3</gadget>
<output>63</output>
<gadget id="calculator">65 + 63</gadget>
<output>128</output>
<result>E</result> | E | 128 | The average weight of 10 persons increases by 6.3 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person? | {
"A": "176 kg",
"B": "80 kg",
"C": "185 kg",
"D": "90 kg",
"E": "128 kg"
} | add(65, multiply(10, 6.3)) | multiply(n0,n1)|add(n2,#0)| | "solution total weight increased = ( 10 x 6.3 ) kg = 63 kg . weight of new person = ( 65 + 63 ) kg = 128 kg . answer e" | general |
math_qa__bSlbSTwEeBI6ww5n | A charitable association sold an average of 66 raffle tickets per member. Among the female members, the average was 70 raffle tickets. The male to female ratio of the association is 1:2. What was the average number T of tickets sold by the male members of the association Choose the correct choice from the following answers.
A) 50
B) 56
C) 58
D) 62
E) 66 | <gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">66 * 3</gadget>
<output>198</output>
<gadget id="calculator">70 * 2</gadget>
<output>140</output>
<gadget id="calculator">198 - 140</gadget>
<output>58</output>
<result>C</result> | C | 58 | A charitable association sold an average of 66 raffle tickets per member. Among the female members, the average was 70 raffle tickets. The male to female ratio of the association is 1:2. What was the average number T of tickets sold by the male members of the association | {
"A": "50",
"B": "56",
"C": "58",
"D": "62",
"E": "66"
} | subtract(multiply(66, add(1, 2)), multiply(70, 2)) | add(n2,n3)|multiply(n1,n3)|multiply(n0,#0)|subtract(#2,#1)| | "given that , total average t sold is 66 , male / female = 1 / 2 and female average is 70 . average of male members isx . ( 70 * f + x * m ) / ( m + f ) = 66 - > solving this equation after substituting 2 m = f , x = 58 . ans c ." | general |
math_qa__Gp6JlF9MSiw1HGK8 | The speed of a car is 98 km in the first hour and 60 km in the second hour. What is the average speed of the car? Pick
A) 76 kmph B) 75 kmph C) 87 kmph D) 79 kmph E) 86 kmph | <gadget id="calculator">98 + 60</gadget>
<output>158</output>
<gadget id="calculator">158 / 2</gadget>
<output>79</output>
<result>D</result> | D | 79 | The speed of a car is 98 km in the first hour and 60 km in the second hour. What is the average speed of the car? | {
"A": "76 kmph",
"B": "75 kmph",
"C": "87 kmph",
"D": "79 kmph",
"E": "86 kmph"
} | divide(add(98, 60), const_2) | add(n0,n1)|divide(#0,const_2)| | "s = ( 98 + 60 ) / 2 = 79 kmph answer : d" | physics |
math_qa__KrDqduIOQ5gFav9p | What is the least whole number that should be added to 625573 if it is to be divisible by 3? Choose the correct option
A) 6 B) 1 C) 4 D) 3 E) 2 | <gadget id="calculator">625_573 - 1</gadget>
<output>625_572</output>
<gadget id="calculator">625_572 + 3</gadget>
<output>625_575</output>
<gadget id="calculator">625_575 - 625_573</gadget>
<output>2</output>
<result>E</result> | E | 2 | What is the least whole number that should be added to 625573 if it is to be divisible by 3? | {
"A": "6",
"B": "1",
"C": "4",
"D": "3",
"E": "2"
} | subtract(add(subtract(625573, const_1), 3), 625573) | subtract(n0,const_1)|add(n1,#0)|subtract(#1,n0) | a number is divisible by 3 if the sum of the digits is divisible by 3 . . here , 6 + 2 + 5 + 5 + 7 + 3 = 28 , the next multiple of 3 is 30 . 2 must be added to 625574 to make it divisible by 3 e | general |
math_qa__MgFdjlj0loFQilNh | What least number must be subtracted from 2000 to get a number exactly divisible by 17 ? Select
A) 9 B) 8 C) 5 D) 11 E) 15 | <gadget id="calculator">2_000 / 17</gadget>
<output>2_000/17 = around 117.647059</output>
<gadget id="calculator">floor(2_000/17)</gadget>
<output>117</output>
<gadget id="calculator">117 * 17</gadget>
<output>1_989</output>
<gadget id="calculator">2_000 - 1_989</gadget>
<output>11</output>
<result>D</result> | D | 11 | What least number must be subtracted from 2000 to get a number exactly divisible by 17 ? | {
"A": "9",
"B": "8",
"C": "5",
"D": "11",
"E": "15"
} | subtract(2000, multiply(floor(divide(2000, 17)), 17)) | divide(n0,n1)|floor(#0)|multiply(n1,#1)|subtract(n0,#2)| | "on dividing 2000 by 17 , we get 11 as remainder . required number to be subtracted = 11 answer d" | general |
math_qa__zzKOXk8Dh1NxwnzD | In 1990 the budgets for projects Q and V were $620,000 and $780,000, respectively. In each of the next 10 years, the budget for Q was increased by $30,000 and the budget for V was decreased by $10,000. In which year was the budget for Q equal to the budget for V ? Choose the correct choice from the following choices
A) 1992 B) 1993 C) 1994 D) 1995 E) 1996 | <gadget id="calculator">2 * 3</gadget>
<output>6</output>
<gadget id="calculator">10 * 6</gadget>
<output>60</output>
<gadget id="calculator">1_990 + 60</gadget>
<output>2_050</output>
<result>C</result> | C | 1,994 | In 1990 the budgets for projects Q and V were $620,000 and $780,000, respectively. In each of the next 10 years, the budget for Q was increased by $30,000 and the budget for V was decreased by $10,000. In which year was the budget for Q equal to the budget for V ? | {
"A": "1992",
"B": "1993",
"C": "1994",
"D": "1995",
"E": "1996"
} | add(1990, multiply(10, multiply(const_2, const_3))) | multiply(const_2,const_3)|multiply(n3,#0)|add(n0,#1)| | "let the no of years it takes is x . 620 + 30 x = 780 - 10 x - - > 40 x = 160 and x = 4 . thus , it happens in 1994 . c ." | general |
math_qa__d83fpI5o4dPrXkmk | At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $120. At the same place it would cost $162.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola? Choose the correct choice from the following answers.
A) $ 21
B) $ 35
C) $ 31
D) $ 41
E) it can not be determined | <gadget id="calculator">162.5 - 120</gadget>
<output>42.5</output>
<gadget id="calculator">120 + 42.5</gadget>
<output>162.5</output>
<gadget id="calculator">42.5 * 3</gadget>
<output>127.5</output>
<gadget id="calculator">162.5 - 127.5</gadget>
<output>35</output>
<result>B</result> | B | 35 | At an upscale fast-food restaurant, Shin can buy 3 burgers, 7 shakes, and one cola for $120. At the same place it would cost $162.50 for 4 burgers, 10 shakes, and one cola. How much would it cost for a meal of one burger, one shake, and one cola? | {
"A": "$ 21",
"B": "$ 35",
"C": "$ 31",
"D": "$ 41",
"E": "it can not be determined"
} | subtract(add(120, subtract(162.50, 120)), multiply(subtract(162.50, 120), 3)) | subtract(n3,n2)|add(n2,#0)|multiply(#0,n0)|subtract(#1,#2)| | "let ' s suppose that the price of a burger is bb , of a shake - ss and that of a cola is cc . we can then construct these equations : 3 b + 7 s + c = 120 4 b + 10 s + c = 162.5 subtracting the first equation from the second gives us b + 3 s = 42.5 now if we subtract the new equation two times from first or 3 times from second we will get b + s + c = 35 . in any case , there is no necessity to know each item ' s price , just the sum . answer : b" | general |
math_qa__u2MGXIrJVmKfdgaR | A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day at 1 mile faster than 2nd day for same hours. How many miles in total did she walk?
Options
A) 63 B) 44 C) 58 D) 60 E) 62 | <gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">18 / 3</gadget>
<output>6</output>
<gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">18 + 20</gadget>
<output>38</output>
<gadget id="calculator">6 * 4</gadget>
<output>24</output>
<gadget id="calculator">38 + 24</gadget>
<output>62</output>
<result>A</result> | A | 63 | A hiker walked for 3 days. She walked 18 miles on the first day, walking 3 miles per hour. On the second day she walked for one less hour but she walked one mile per hour, faster than on the first day. On the third day she walked the same number of hours as on the first day at 1 mile faster than 2nd day for same hours. How many miles in total did she walk? | {
"A": "63",
"B": "44",
"C": "58",
"D": "60",
"E": "62"
} | add(add(18, multiply(add(3, const_1), subtract(divide(18, 3), const_1))), multiply(divide(18, 3), add(3, const_1))) | add(n0,const_1)|divide(n1,n0)|multiply(#0,#1)|subtract(#1,const_1)|multiply(#0,#3)|add(n1,#4)|add(#5,#2)| | "first day - 18 miles with 3 miles per hours then total - 6 hours for that day second day - 4 miles per hour and 5 hours - 20 miles third day - 5 miles per hour and 5 hours - 25 miles total 18 + 20 + 25 = 63 answer : option a ." | physics |
math_qa__H1Bg0jh4ttkBpFZv | Simplify: (4 +3)+(8-3-1) Choose the correct choice.
A) - 11 B) β 12 C) 11 D) 12 E) 10 | <gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">8 - 3</gadget>
<output>5</output>
<gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">7 + 4</gadget>
<output>11</output>
<result>C</result> | C | 11 | Simplify: (4 +3)+(8-3-1) | {
"A": "- 11",
"B": "β 12",
"C": "11",
"D": "12",
"E": "10"
} | add(add(4, 3), subtract(subtract(8, 3), 1)) | add(n0,n1)|subtract(n2,n1)|subtract(#1,n4)|add(#0,#2) | solution : ( 4 + 3 ) + ( 8 - 3 - 1 ) = 7 + ( 8 - 3 - 1 ) = 7 + 8 - 3 - 1 = 15 - 1 = 11 answer : ( c ) | general |
math_qa__ULbla92fugABIEPa | A train running at the speed of 56 km/hr crosses a pole in 9 seconds. Find the length of the train? Choose the correct choice from the following: A) 140 B) 272 C) 278 D) 277 E) 112 | <gadget id="calculator">56 * 1_000</gadget>
<output>56_000</output>
<gadget id="calculator">56_000 / 3_600</gadget>
<output>140/9 = around 15.555556</output>
<gadget id="calculator">(140/9) * 9</gadget>
<output>140</output>
<result>A</result> | A | 140 | A train running at the speed of 56 km/hr crosses a pole in 9 seconds. Find the length of the train? | {
"A": "140",
"B": "272",
"C": "278",
"D": "277",
"E": "112"
} | multiply(divide(multiply(56, const_1000), const_3600), 9) | multiply(n0,const_1000)|divide(#0,const_3600)|multiply(n1,#1)| | "speed = 56 * ( 5 / 18 ) m / sec = 140 / 9 m / sec length of train ( distance ) = speed * time ( 140 / 9 ) * 9 = 140 meter answer : a" | physics |
math_qa__Q56EeVdPpCiG5J4X | How many 9-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example 123454321. Options: A) 100 B) 610 C) 729 D) 900 E) 90000 | <gadget id="calculator">9 * 10</gadget>
<output>90</output>
<gadget id="calculator">90 * 10</gadget>
<output>900</output>
<gadget id="calculator">900 * 10</gadget>
<output>9_000</output>
<gadget id="calculator">9_000 * 10</gadget>
<output>90_000</output>
<result>E</result> | E | 90,000 | How many 9-digits number are Palindromic numbers? A Palindromic number reads the same forward and backward, example 123454321. | {
"A": "100",
"B": "610",
"C": "729",
"D": "900",
"E": "90000"
} | multiply(multiply(multiply(multiply(9, const_10), const_10), const_10), const_10) | multiply(n0,const_10)|multiply(#0,const_10)|multiply(#1,const_10)|multiply(#2,const_10) | take the task of building palindromes and break it intostages . stage 1 : select the 9 th digit we can choose 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , or 9 so , we can complete stage 1 in 9 ways stage 2 : select the 8 th , 7 th , 6 th , 5 th digit we can choose 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , or 9 so , we can complete stage 2 in 10 ways important : at this point , the remaining digits are alreadylocked in . stage 3 : select the 4 th , 3 rd , 2 nd , 1 st digit so , we can complete this stage in 1 way . by thefundamental counting principle ( fcp ) , we can complete all 5 stages ( and thus build a 9 - digit palindrome ) in ( 9 ) ( 10 ) ( 10 ) ( 10 ) ( 10 ) ( 1 ) ( 1 ) ( 1 ) ( 1 ) ways ( = 90000 ways ) answer : e | general |
math_qa__yRT90qZqbo6NHzGY | The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area? Choose the correct choice: A) 37.2 % B) 37.5 % C) 30.2 % D) 37.7 % E) 33.2 % | <gadget id="calculator">10 + 100</gadget>
<output>110</output>
<gadget id="calculator">25 + 100</gadget>
<output>125</output>
<gadget id="calculator">110 * 125</gadget>
<output>13_750</output>
<gadget id="calculator">100 * 100</gadget>
<output>10_000</output>
<gadget id="calculator">13_750 - 10_000</gadget>
<output>3_750</output>
<gadget id="calculator">3_750 * 100</gadget>
<output>375_000</output>
<gadget id="calculator">375_000 / 10_000</gadget>
<output>75/2 = around 37.5</output>
<result>B</result> | B | 37.5 | The length and breadth of a rectangle is increased by 10% and 25% respectively. What is the increase in the area? | {
"A": "37.2 %",
"B": "37.5 %",
"C": "30.2 %",
"D": "37.7 %",
"E": "33.2 %"
} | divide(multiply(subtract(rectangle_area(add(10, const_100), add(25, const_100)), rectangle_area(const_100, const_100)), const_100), rectangle_area(const_100, const_100)) | add(n0,const_100)|add(n1,const_100)|rectangle_area(const_100,const_100)|rectangle_area(#0,#1)|subtract(#3,#2)|multiply(#4,const_100)|divide(#5,#2) | explanation : 100 * 100 = 10000 110 * 125 = 13750 - - - - - - - - - - - 3750 10000 - - - - - - 3750 100 - - - - - - - ? = > 37.5 % answer : option b | geometry |
math_qa__b3ScKaPeCEsjXA9G | When sold at a 60% discount, a sweater nets the merchant a 20% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price?
Options.
A) 20 % B) 40 % C) 66.67 % D) 80 % E) 100 % | <gadget id="calculator">100 - 60</gadget>
<output>40</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">40 / (6/5)</gadget>
<output>100/3 = around 33.333333</output>
<gadget id="calculator">100 - (100/3)</gadget>
<output>200/3 = around 66.666667</output>
<result>C</result> | C | 66.67 | When sold at a 60% discount, a sweater nets the merchant a 20% profit on the wholesale cost at which he initially purchased the item. By what % is the sweater marked up from wholesale at its normal retail price? | {
"A": "20 %",
"B": "40 %",
"C": "66.67 %",
"D": "80 %",
"E": "100 %"
} | subtract(const_100, divide(subtract(const_100, 60), add(const_1, divide(20, const_100)))) | divide(n1,const_100)|subtract(const_100,n0)|add(#0,const_1)|divide(#1,#2)|subtract(const_100,#3)| | "we should be careful about what are we measuring % on / what is the base . . let the marked up price = 100 . . selling price = 100 - 60 % of 100 = 40 . . profit = 20 % . . therefore the wholesale purchase cost = x . . . . 1.2 x = 40 or x = 33.33 . . . marked price was 100 so . . . so answer is 66.67 % . . c" | gain |
math_qa__csiv0fV9QoIpzyK2 | If the sides of a square are multiplied by sqrt(5), the area of the original square is how many times as large as the area of the resultant square? Choose the correct choice.
A) 5 % B) 20 % C) 50 % D) 100 % E) 120 % | <gadget id="calculator">4 * 5</gadget>
<output>20</output>
<result>B</result> | B | 20 | If the sides of a square are multiplied by sqrt(5), the area of the original square is how many times as large as the area of the resultant square? | {
"A": "5 %",
"B": "20 %",
"C": "50 %",
"D": "100 %",
"E": "120 %"
} | square_perimeter(5) | square_perimeter(n0) | let x be the original length of one side . then the original area is x ^ 2 . the new square has sides of length sqrt ( 5 ) * x , so the area is 5 x ^ 2 . the area of the original square is 1 / 5 = 20 % times the area of the new square . the answer is b . | geometry |
math_qa__ssrwBUwO9kPv0UGP | A start walking from a place at a uniform speed of 3 kmph in a particular direction. After half an hour, B starts from the same place and walks in the same direction as A at a uniform speed and overtakes A after 1 hour 48 minutes. Find the speed of B.
Choose the correct choice:
A) 4.7 kmph B) 3.6 kmph C) 4 kmph D) 7 kmph E) 5.3 kmph | <gadget id="calculator">60 + 48</gadget>
<output>108</output>
<gadget id="calculator">108 / 60</gadget>
<output>9/5 = around 1.8</output>
<gadget id="calculator">1 / (9/5)</gadget>
<output>5/9 = around 0.555556</output>
<gadget id="calculator">(5/9) + 3</gadget>
<output>32/9 = around 3.555556</output>
<result>B</result> | B | 3.6 | A start walking from a place at a uniform speed of 3 kmph in a particular direction. After half an hour, B starts from the same place and walks in the same direction as A at a uniform speed and overtakes A after 1 hour 48 minutes. Find the speed of B. | {
"A": "4.7 kmph",
"B": "3.6 kmph",
"C": "4 kmph",
"D": "7 kmph",
"E": "5.3 kmph"
} | add(divide(1, divide(add(const_60, 48), const_60)), 3) | add(n2,const_60)|divide(#0,const_60)|divide(n1,#1)|add(n0,#2)| | "distance covered by a in 30 min = 1 km b covers extra 1 km in 1 hour 48 minutes ( 9 / 5 hr ) i . e . relative speed of b over a = 1 / ( 9 / 5 ) = 5 / 9 so the speed of b = speed of a + 5 / 9 = 3 + 5 / 9 = 3.55 answer b" | physics |
math_qa__tyXm9Z8qBGE6XFs6 | Find the 25% of Rs. 600. Choose the correct choice from the following answers
A) s . 150
B) s . 70
C) s . 100
D) s . 80
E) s . 60 | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">600 * (1/4)</gadget>
<output>150</output>
<result>A</result> | A | 150 | Find the 25% of Rs. 600. | {
"A": "s . 150",
"B": "s . 70",
"C": "s . 100",
"D": "s . 80",
"E": "s . 60"
} | multiply(600, divide(25, const_100)) | divide(n0,const_100)|multiply(n1,#0)| | "explanation : 25 % of 600 = > 25 / 100 * 600 = rs . 150 answer : a" | gain |
math_qa__Fzng9IPijb6ddfpu | Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 60900. What is his profit percent? Choose one
A) 10.7 %
B) 19 %
C) 18 %
D) 14 %
E) 16 % | <gadget id="calculator">42_000 + 13_000</gadget>
<output>55_000</output>
<gadget id="calculator">60_900 - 55_000</gadget>
<output>5_900</output>
<gadget id="calculator">5_900 / 55_000</gadget>
<output>59/550 = around 0.107273</output>
<gadget id="calculator">(59/550) * 100</gadget>
<output>118/11 = around 10.727273</output>
<result>A</result> | A | 10.7 | Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 60900. What is his profit percent? | {
"A": "10.7 %",
"B": "19 %",
"C": "18 %",
"D": "14 %",
"E": "16 %"
} | multiply(divide(subtract(60900, add(42000, 13000)), add(42000, 13000)), const_100) | add(n0,n1)|subtract(n2,#0)|divide(#1,#0)|multiply(#2,const_100)| | "total cp = rs . 42000 + rs . 13000 = rs . 55000 and sp = rs . 60900 profit ( % ) = ( 60900 - 55000 ) / 55000 * 100 = 10.7 % answer : a" | gain |
math_qa__U4HQCpJgUSOW1jPH | If the length of the sides of two cubes are in the ratio 2:1, what is the ratio of their total surface area? Choose the correct choice from the following.
A) 2 : 1 B) 3 : 1 C) 4 : 1 D) 6 : 1 E) 8 : 1 | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<result>C</result> | C | 4 | If the length of the sides of two cubes are in the ratio 2:1, what is the ratio of their total surface area? | {
"A": "2 : 1",
"B": "3 : 1",
"C": "4 : 1",
"D": "6 : 1",
"E": "8 : 1"
} | multiply(2, 2) | multiply(n0,n0)| | "let x be the length of the small cube ' s side . the total surface area of the small cube is 6 x ^ 2 . the total surface area of the large cube is 6 ( 2 x ) ^ 2 = 24 x ^ 2 . the ratio of surface areas is 4 : 1 . the answer is c ." | geometry |
math_qa__S9qHjJnulXokigEn | What is the speed of the stream if a canoe rows upstream at 8 km/hr and downstream at 12km/hr
Select the correct option.
A) 1 kmph B) 4 kmph C) 3 kmph D) 2 kmph E) 1.9 kmph | <gadget id="calculator">12 - 8</gadget>
<output>4</output>
<gadget id="calculator">4 / 2</gadget>
<output>2</output>
<result>D</result> | D | 2 | What is the speed of the stream if a canoe rows upstream at 8 km/hr and downstream at 12km/hr | {
"A": "1 kmph",
"B": "4 kmph",
"C": "3 kmph",
"D": "2 kmph",
"E": "1.9 kmph"
} | divide(subtract(12, 8), const_2) | subtract(n1,n0)|divide(#0,const_2)| | "sol . speed of stream = 1 / 2 ( 12 - 8 ) kmph = 2 kmph . answer d" | physics |
math_qa__lsEFPeGohUq7q8Mf | Obra drove 150Ο meters along a circular track. If the area enclosed by the circular track on which she drove is 57,600Ο square meters, what percentage of the circular track did Obra drive? Select the correct option:
A) 6.67 % B) 12.5 % C) 18.75 % D) 25 % E) 31.25 % | <gadget id="calculator">2 * pi * 150</gadget>
<output>300*pi = around 942.477796</output>
<gadget id="calculator">(300*pi) / 150</gadget>
<output>2*pi = around 6.283185</output>
<gadget id="calculator">(2*pi) * 3</gadget>
<output>6*pi = around 18.849556</output>
<gadget id="calculator">(6*pi) * 2</gadget>
<output>12*pi = around 37.699112</output>
<gadget id="calculator">(12*pi) - 4</gadget>
<output>-4 + 12*pi = around 33.699112</output>
<gadget id="calculator">(-4 + 12*pi) - 2</gadget>
<output>-6 + 12*pi = around 31.699112</output>
<result>E</result> | E | 31.25 | Obra drove 150Ο meters along a circular track. If the area enclosed by the circular track on which she drove is 57,600Ο square meters, what percentage of the circular track did Obra drive? | {
"A": "6.67 %",
"B": "12.5 %",
"C": "18.75 %",
"D": "25 %",
"E": "31.25 %"
} | subtract(subtract(multiply(multiply(divide(circumface(150), 150), const_3), const_2), const_4), const_2) | circumface(n0)|divide(#0,n0)|multiply(#1,const_3)|multiply(#2,const_2)|subtract(#3,const_4)|subtract(#4,const_2) | area enclosed by the circular track on which she drove is 57,600 Ο square meters so , Ο ( r ^ 2 ) = 57,600 Ο - - - > ( r ^ 2 ) = 57,600 - - - > r = 240 circumference of the circular track = 2 Ο r = 480 Ο therefore , part of circumference covered = 150 Ο / 480 Ο = 31.25 % hence , answer is e . | geometry |
math_qa__3n681jWsAvav171y | On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 305 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school? Select
A) 600
B) 610
C) 500
D) 520
E) 720 | <gadget id="calculator">305 * 2</gadget>
<output>610</output>
<result>B</result> | B | 610 | On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 305 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school? | {
"A": "600",
"B": "610",
"C": "500",
"D": "520",
"E": "720"
} | multiply(305, const_2) | multiply(n0,const_2)| | "let the number of children in the school be x . since each child gets 2 bananas , total number of bananas = 2 x . 2 x / ( x - 305 ) = 2 + 2 ( extra ) = > 2 x - 610 = x = > x = 610 . answer : b" | general |
math_qa__NMVHXfWN0M5dt8MM | Two pots are in side-by-side. One pot, which is 20 inches tall, casts a shadow that is 10
inches long. The other pot is 40 inches tall. Compute, in inches, the length of the shadow that
the taller pot casts. Choose the correct choice from the following choices
A) 25 B) 30 C) 10 D) 15 E) 20 | <gadget id="calculator">10 / 20</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 40</gadget>
<output>20</output>
<result>E</result> | E | 20 | Two pots are in side-by-side. One pot, which is 20 inches tall, casts a shadow that is 10
inches long. The other pot is 40 inches tall. Compute, in inches, the length of the shadow that
the taller pot casts. | {
"A": "25",
"B": "30",
"C": "10",
"D": "15",
"E": "20"
} | multiply(divide(10, 20), 40) | divide(n1,n0)|multiply(n2,#0) | the ratio of shadow to height is constant , so if x is the length of the shadow , then 20 / 10 = 40 / x and x = 20 . correct answer e | general |
math_qa__PqnMucfqF2gSIEaH | Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 19000, then find his savings?
Choose the most appropriate option:
A) 3800 B) 3607 C) 3608 D) 3602 E) 3603 | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) * 19_000</gadget>
<output>15_200</output>
<gadget id="calculator">19_000 - 15_200</gadget>
<output>3_800</output>
<result>A</result> | A | 3,800 | Income and expenditure of a person are in the ratio 5 : 4. If the income of the person is Rs. 19000, then find his savings? | {
"A": "3800",
"B": "3607",
"C": "3608",
"D": "3602",
"E": "3603"
} | subtract(19000, multiply(divide(4, 5), 19000)) | divide(n1,n0)|multiply(n2,#0)|subtract(n2,#1)| | "let the income and the expenditure of the person be rs . 5 x and rs . 4 x respectively . income , 5 x = 19000 = > x = 3800 savings = income - expenditure = 5 x - 4 x = x so , savings = rs . 3800 . answer : a" | other |
math_qa__wsDQX1jG028vZr2P | ((-1.9)(0.6) β (2.6)(1.2))/7.0 = ?
Pick one:
A) - 0.61
B) 1.0
C) 1.07
D) 1.71
E) 2.71 | <gadget id="calculator">1.9 * 0.6</gadget>
<output>1.14</output>
<gadget id="calculator">-1.14</gadget>
<output>-1.14</output>
<gadget id="calculator">2.6 * 1.2</gadget>
<output>3.12</output>
<gadget id="calculator">(-1.14) - 3.12</gadget>
<output>-4.26</output>
<gadget id="calculator">(-4.26) / 7</gadget>
<output>-0.608571</output>
<result>A</result> | A | -0.61 | ((-1.9)(0.6) β (2.6)(1.2))/7.0 = ? | {
"A": "- 0.61",
"B": "1.0",
"C": "1.07",
"D": "1.71",
"E": "2.71"
} | divide(subtract(negate(multiply(1.9, 0.6)), multiply(2.6, 1.2)), 7) | multiply(n0,n1)|multiply(n2,n3)|negate(#0)|subtract(#2,#1)|divide(#3,n4) | dove straight into calculation but quickly realized that the sum of two negatives is a negative so there is only one option . - 0.61 answer a | general |
math_qa__hxNugmJTTpnucAa9 | If n is an integer, f(n) = f(n-1) - n and f(4)=12. What is the value of f(6)? Choose the correct choice from the following answers:
A) 1 B) 0 C) - 1 D) 2 E) 4 | <gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">12 - 5</gadget>
<output>7</output>
<gadget id="calculator">7 - 6</gadget>
<output>1</output>
<result>A</result> | A | 1 | If n is an integer, f(n) = f(n-1) - n and f(4)=12. What is the value of f(6)? | {
"A": "1",
"B": "0",
"C": "- 1",
"D": "2",
"E": "4"
} | subtract(subtract(12, add(1, 4)), 6) | add(n0,n1)|subtract(n2,#0)|subtract(#1,n3)| | "since f ( n ) = f ( n - 1 ) - n then : f ( 6 ) = f ( 5 ) - 6 and f ( 5 ) = f ( 4 ) - 5 . as given that f ( 4 ) = 12 then f ( 5 ) = 12 - 5 = 7 - - > substitute the value of f ( 5 ) back into the first equation : f ( 6 ) = f ( 5 ) - 6 = 7 - 6 = 1 . answer : a . questions on funtions to practice :" | general |
math_qa__qrHm96Kmgi2Ib411 | If the charge of staying in a student youth hostel $18.00/day for the first week, and $12.00/day for each additional week, How much does it cost to stay for 23 days? Choose the correct choice from the following choices.
A) $ 318 B) $ 289 C) $ 282 D) $ 274 E) $ 286 | <gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">18 * 7</gadget>
<output>126</output>
<gadget id="calculator">23 - 7</gadget>
<output>16</output>
<gadget id="calculator">12 * 16</gadget>
<output>192</output>
<gadget id="calculator">126 + 192</gadget>
<output>318</output>
<result>A</result> | A | 318 | If the charge of staying in a student youth hostel $18.00/day for the first week, and $12.00/day for each additional week, How much does it cost to stay for 23 days? | {
"A": "$ 318",
"B": "$ 289",
"C": "$ 282",
"D": "$ 274",
"E": "$ 286"
} | add(multiply(18, add(const_3, const_4)), multiply(12, subtract(23, add(const_3, const_4)))) | add(const_3,const_4)|multiply(n0,#0)|subtract(n2,#0)|multiply(n1,#2)|add(#1,#3) | total number of days of stay = 23 charge of staying in first week = 18 * 7 = 126 $ charge of staying for additional days = ( 23 - 7 ) * 12 = 16 * 12 = 192 $ total charge = 126 + 192 = 318 $ answer a | general |
math_qa__b85YatWR6xUVEgdj | When a number is divided by 3 &then multiply by 12 the answer is 9 what is the no.?
Select the correct option
A) 4.5 B) 5 C) 2.25 D) 5.7 E) 6.5 | <gadget id="calculator">9 / 12</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) * 3</gadget>
<output>9/4 = around 2.25</output>
<result>C</result> | C | 2.25 | When a number is divided by 3 &then multiply by 12 the answer is 9 what is the no.? | {
"A": "4.5",
"B": "5",
"C": "2.25",
"D": "5.7",
"E": "6.5"
} | multiply(divide(9, 12), 3) | divide(n2,n1)|multiply(n0,#0)| | "if $ x $ is the number , x / 3 * 12 = 9 = > 4 x = 9 = > x = 2.25 c" | general |
math_qa__M9YWlTrI1Xasm9Sk | An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is: Options.
A) 1.04 B) 2.04 C) 3.04 D) 4.04 E) none of these | <gadget id="calculator">100 + 2</gadget>
<output>102</output>
<gadget id="calculator">102 ** 2</gadget>
<output>10_404</output>
<gadget id="calculator">100 ** 2</gadget>
<output>10_000</output>
<gadget id="calculator">10_404 - 10_000</gadget>
<output>404</output>
<gadget id="calculator">404 * 100</gadget>
<output>40_400</output>
<gadget id="calculator">40_400 / 10_000</gadget>
<output>101/25 = around 4.04</output>
<result>D</result> | D | 4.04 | An error 2% in excess is made while measuring the side of a square. The percentage of error in the calculated area of the square is: | {
"A": "1.04",
"B": "2.04",
"C": "3.04",
"D": "4.04",
"E": "none of these"
} | divide(multiply(subtract(square_area(add(const_100, 2)), square_area(const_100)), const_100), square_area(const_100)) | add(n0,const_100)|square_area(const_100)|square_area(#0)|subtract(#2,#1)|multiply(#3,const_100)|divide(#4,#1)| | "explanation : 100 cm is read as 102 cm . a 1 = ( 100 Γ 100 ) cm 2 and a 2 = ( 102 Γ 102 ) cm 2 ( a 2 - a 1 ) = [ 1022 - 1002 ] = ( 102 + 100 ) x ( 102 - 100 ) = 404 cm 2 answer : d" | gain |
math_qa__ZWgjsBQ1LDKKBUJ2 | Juan and his five friends will sit on six fixed seats around a circular table. If Juan must sit on the seat closest to the window and Jamal must sit next to Juan, in how many can Juan and his five friends sit?
Answers
A) 20
B) 24
C) 48
D) 72
E) 120 | <gadget id="calculator">factorial(4)</gadget>
<output>24</output>
<gadget id="calculator">24 * 2</gadget>
<output>48</output>
<result>C</result> | C | 48 | Juan and his five friends will sit on six fixed seats around a circular table. If Juan must sit on the seat closest to the window and Jamal must sit next to Juan, in how many can Juan and his five friends sit? | {
"A": "20",
"B": "24",
"C": "48",
"D": "72",
"E": "120"
} | multiply(factorial(const_4), const_2) | factorial(const_4)|multiply(#0,const_2) | j = juan , f = jamal since j is always fixed , set j , set f relative to j , then see how many options there are : j f 4 3 2 1 = 24 or f j 4 3 2 1 = 24 24 + 24 = 48 β¦ c answer : c | geometry |
math_qa__28v5d4Jzhfz83ZcP | Lucia's sells kale at x dollar per pound for the first 20 pounds and .8x for every subsequent pound. Amby's price is x per pound for the first 14 pounds and .9x for subsequent pounds. What is the minimum number of pounds over 15 for which Lucia's becomes an equal or better deal? Choices: A) 24 B) 26 C) 25 D) 27 E) 28 | <gadget id="calculator">8 / 10</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">20 * (4/5)</gadget>
<output>16</output>
<gadget id="calculator">20 - 16</gadget>
<output>4</output>
<gadget id="calculator">9 / 10</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">14 * (9/10)</gadget>
<output>63/5 = around 12.6</output>
<gadget id="calculator">14 - (63/5)</gadget>
<output>7/5 = around 1.4</output>
<gadget id="calculator">4 - (7/5)</gadget>
<output>13/5 = around 2.6</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(13/5) / (1/10)</gadget>
<output>26</output>
<result>B</result> | B | 26 | Lucia's sells kale at x dollar per pound for the first 20 pounds and .8x for every subsequent pound. Amby's price is x per pound for the first 14 pounds and .9x for subsequent pounds. What is the minimum number of pounds over 15 for which Lucia's becomes an equal or better deal? | {
"A": "24",
"B": "26",
"C": "25",
"D": "27",
"E": "28"
} | divide(subtract(subtract(20, multiply(20, divide(8, const_10))), subtract(14, multiply(14, divide(9, const_10)))), divide(const_1, const_10)) | divide(n1,const_10)|divide(n3,const_10)|divide(const_1,const_10)|multiply(n0,#0)|multiply(n2,#1)|subtract(n0,#3)|subtract(n2,#4)|subtract(#5,#6)|divide(#7,#2) | for amy ' s deal to be better , the cost has to be less or equal to lucia ' s assuming ' n ' is the number of pounds of kale , the equation is 20 x + ( n - 20 ) ( 0.8 x ) < = 14 x + ( n - 14 ) ( 0.9 x ) resolve it : = = > 20 x + 0.8 nx - 16 x < = 14 x + 0.9 nx - 12.6 x = = > 2.6 x < = 0.1 nx = = > 26 x < = nx = = > x ( n - 26 ) > = 0 as x can not be 0 , = = > n - 26 > = 0 = = > n > = 26 so the minimum value is 26 ' b ' would be the correct answer | general |
math_qa__4c9zoD6R5dZqpENb | When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 6, the quotient is 3y and the remainder is 1. What is the value of 7y β x ?
Select the correct option
A) 1 B) 2 C) 3 D) 4 E) 5 | <gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">6 * 3</gadget>
<output>18</output>
<gadget id="calculator">2 * 11</gadget>
<output>22</output>
<gadget id="calculator">18 - 22</gadget>
<output>-4</output>
<gadget id="calculator">7 / (-4)</gadget>
<output>-7/4 = around -1.75</output>
<gadget id="calculator">7 * (-7/4)</gadget>
<output>-49/4 = around -12.25</output>
<gadget id="calculator">11 * (-7/4)</gadget>
<output>-77/4 = around -19.25</output>
<gadget id="calculator">(-77/4) + 4</gadget>
<output>-61/4 = around -15.25</output>
<gadget id="calculator">(-49/4) - (-61/4)</gadget>
<output>3</output>
<result>C</result> | C | 3 | When positive integer x is divided by 11, the quotient is y and the remainder is 4. When 2x is divided by 6, the quotient is 3y and the remainder is 1. What is the value of 7y β x ? | {
"A": "1",
"B": "2",
"C": "3",
"D": "4",
"E": "5"
} | subtract(multiply(7, divide(subtract(multiply(2, 4), 1), subtract(multiply(6, 3), multiply(2, 11)))), add(multiply(11, divide(subtract(multiply(2, 4), 1), subtract(multiply(6, 3), multiply(2, 11)))), 4)) | multiply(n1,n2)|multiply(n3,n4)|multiply(n0,n2)|subtract(#0,n5)|subtract(#1,#2)|divide(#3,#4)|multiply(n6,#5)|multiply(n0,#5)|add(n1,#7)|subtract(#6,#8)| | "( 1 ) x = 11 y + 4 ( 2 ) 2 x = 18 y + 1 let ' s subtract equation ( 1 ) from equation ( 2 ) . 7 y - 3 = x 7 y - x = 3 the answer is c ." | general |
math_qa__G2qDRWbB48lxNnzK | In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 140800, how many purple chips were selected? Choose the correct choice from the following choices:
A) 1
B) 2
C) 3
D) 4
E) 5 | <gadget id="calculator">5 - 2</gadget>
<output>3</output>
<result>C</result> | C | 3 | In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 140800, how many purple chips were selected? | {
"A": "1",
"B": "2",
"C": "3",
"D": "4",
"E": "5"
} | subtract(5, const_2) | subtract(n1,const_2) | 140800 = 1 * 5 ^ 2 * 8 ^ 3 * 11 the factors of 8 must come from the purple point value , so there are 3 purple chips . the answer is c . | general |
math_qa__6exoeHEt7Sq2ZTeD | Evaluate 49 / .07 Options.
A) 400 B) 500 C) 700 D) none of these E) 506 | <gadget id="calculator">7 / 49</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">100 / (1/7)</gadget>
<output>700</output>
<result>C</result> | C | 700 | Evaluate 49 / .07 | {
"A": "400",
"B": "500",
"C": "700",
"D": "none of these",
"E": "506"
} | divide(const_100.0, divide(07, 49)) | divide(n1,const_100)|divide(n0,#0)| | "explanation : 49 / . 07 = 4900 / 7 = 700 option c" | general |
math_qa__luW8w2P16VApKshU | david deposited $ 5000 to open a new savings account that earned 6 percent annual interest , compounded semi - annually . if there were no other transactions in the account , what the amount of money in david account one year after the account was opened ? Choose the correct choice from the following choices:
A) $ 5306
B) $ 6120
C) $ 5136
D) $ 5405
E) $ 5500 | <gadget id="calculator">5_000 * 6</gadget>
<output>30_000</output>
<gadget id="calculator">30_000 / 100</gadget>
<output>300</output>
<gadget id="calculator">5_000 + 300</gadget>
<output>5_300</output>
<result>A</result> | A | 5,306 | david deposited $ 5000 to open a new savings account that earned 6 percent annual interest , compounded semi - annually . if there were no other transactions in the account , what the amount of money in david account one year after the account was opened ? | {
"A": "$ 5306",
"B": "$ 6120",
"C": "$ 5136",
"D": "$ 5405",
"E": "$ 5500"
} | add(5000, divide(multiply(5000, 6), const_100)) | multiply(n0,n1)|divide(#0,const_100)|add(n0,#1) | approach # 1 : 6 percent annual interest compounded semi - annually - - > 3 % in 6 moths . for the first 6 moths interest was 3 % of $ 5000 , so $ 150 ; for the next 6 moths interest was 3 % of $ 5000 , plus 3 % earned on previous interest of $ 150 , so $ 150 + $ 6 = $ 156 ; total interest for one year was $ 150 + $ 156 = $ 306 , hence balance after one year was $ 5000 + $ 306 = $ 5306 . answer : a . | gain |
math_qa__oEt12eFjXqZgVItO | (1000)7Γ·(10)17=? Choose the correct choice from the following answers.
A) 10 B) 100 C) 1000 D) 10000 E) none of these | <gadget id="calculator">1_000 * 10</gadget>
<output>10_000</output>
<result>D</result> | D | 10,000 | (1000)7Γ·(10)17=? | {
"A": "10",
"B": "100",
"C": "1000",
"D": "10000",
"E": "none of these"
} | multiply(1000, 10) | multiply(n0,n2) | explanation : = ( 103 ) 7 / ( 10 ) 17 = ( 10 ) 21 / ( 10 ) 17 = 10 ( 4 ) = 10000 option d | general |
math_qa__EcLraLyuvq3SMLqN | How many multiples of 3 are there between 100 and 300 (both are inclusive)? Choose the correct choice from the following options
A) 67.6
B) 1.58
C) 2.47
D) 3.54
E) 6.51 | <gadget id="calculator">300 - 100</gadget>
<output>200</output>
<gadget id="calculator">200 / 3</gadget>
<output>200/3 = around 66.666667</output>
<gadget id="calculator">(200/3) + 1</gadget>
<output>203/3 = around 67.666667</output>
<result>A</result> | A | 67.6 | How many multiples of 3 are there between 100 and 300 (both are inclusive)? | {
"A": "67.6",
"B": "1.58",
"C": "2.47",
"D": "3.54",
"E": "6.51"
} | add(divide(subtract(300, 100), 3), const_1) | subtract(n2,n1)|divide(#0,n0)|add(#1,const_1)| | "the answer is ( 300 - 100 ) / 3 + 1 = 67.6 answer is a" | other |
math_qa__Qh1JFMiPb8uzIMbC | Find the probability that a number selected from numbers 1, 2, 3,..., 50 is a prime number, when each of the given numbers is equally likely to be selected? Options.
A) 10 / 50 B) 15 / 50 C) 8 / 50 D) 3 / 50 E) 7 / 50 | <gadget id="calculator">3 * 5</gadget>
<output>15</output>
<gadget id="calculator">15 / 50</gadget>
<output>3/10 = around 0.3</output>
<result>B</result> | B | 0.3 | Find the probability that a number selected from numbers 1, 2, 3,..., 50 is a prime number, when each of the given numbers is equally likely to be selected? | {
"A": "10 / 50",
"B": "15 / 50",
"C": "8 / 50",
"D": "3 / 50",
"E": "7 / 50"
} | divide(multiply(const_3, const_5), 50) | multiply(const_3,const_5)|divide(#0,n3) | let x be the event of selecting a prime number . x = { 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 , 41 , 43 , 47 } n ( x ) = 15 , n ( s ) = 50 hence , the required probability is 15 / 50 . answer : b | probability |
math_qa__LxkVSF6LSjlpJkfn | Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 10 kg of fresh grapes? Choose the correct choice.
A) 2 kg B) 2.4 kg C) 2.5 kg D) 1.250 kg E) none of these | <gadget id="calculator">100 - 90</gadget>
<output>10</output>
<gadget id="calculator">10 * 10</gadget>
<output>100</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">1 / 80</gadget>
<output>1/80 = around 0.0125</output>
<gadget id="calculator">(1/80) * 100</gadget>
<output>5/4 = around 1.25</output>
<result>D</result> | D | 1.25 | Fresh grapes contain 90% by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 10 kg of fresh grapes? | {
"A": "2 kg",
"B": "2.4 kg",
"C": "2.5 kg",
"D": "1.250 kg",
"E": "none of these"
} | multiply(divide(divide(multiply(subtract(const_100, 90), 10), const_100), subtract(const_100, 20)), const_100) | subtract(const_100,n0)|subtract(const_100,n1)|multiply(n2,#0)|divide(#2,const_100)|divide(#3,#1)|multiply(#4,const_100)| | "the weight of non - water in 10 kg of fresh grapes ( which is 100 - 90 = 10 % of whole weight ) will be the same as the weight of non - water in x kg of dried grapes ( which is 100 - 20 = 80 % of whole weight ) , so 10 Γ’ Λ β 0.1 = x Γ’ Λ β 0.8 - - > x = 1.25 answer : d" | gain |
math_qa__gEasEcTW18Q69bAE | Two trains, A and B, started simultaneously from opposite ends of a 200-mile route and traveled toward each other on parallel tracks. Train A, traveling at a constant rate, completed the 200-mile trip in 10 hours; Train B, traveling at a constant rate, completed the 200-mile trip in 6 hours. How many miles had train A traveled when it met train B? Choose the correct choice: A) 70 B) 75 C) 87.5 D) 90 E) 92.5 | <gadget id="calculator">10 + 6</gadget>
<output>16</output>
<gadget id="calculator">6 / 16</gadget>
<output>3/8 = around 0.375</output>
<gadget id="calculator">(3/8) * 200</gadget>
<output>75</output>
<result>B</result> | B | 75 | Two trains, A and B, started simultaneously from opposite ends of a 200-mile route and traveled toward each other on parallel tracks. Train A, traveling at a constant rate, completed the 200-mile trip in 10 hours; Train B, traveling at a constant rate, completed the 200-mile trip in 6 hours. How many miles had train A traveled when it met train B? | {
"A": "70",
"B": "75",
"C": "87.5",
"D": "90",
"E": "92.5"
} | multiply(divide(6, add(10, 6)), 200) | add(n2,n4)|divide(n4,#0)|multiply(n0,#1)| | "as the ratio of the rates of a and b is 6 to 10 then the distance covered at the time of the meeting ( so after traveling the same time interval ) would also be in that ratio , which means that a would cover 6 / ( 6 + 10 ) = 6 / 16 of 200 miles : 200 * 6 / 16 = 75 miles . answer : b ." | physics |
math_qa__B7qJOkIiBOJIEDQO | A mixture of 200 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture? Pick one:
A) 11 liters B) 11.2 liters C) 12.5 liters D) 13.78 liters E) 13.33 liters | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 200</gadget>
<output>50</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 200</gadget>
<output>40</output>
<gadget id="calculator">50 - 40</gadget>
<output>10</output>
<gadget id="calculator">1 - (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">10 / (3/4)</gadget>
<output>40/3 = around 13.333333</output>
<result>E</result> | E | 13.33 | A mixture of 200 liters of wine and water contains 20% water. How much more water should be added so that water becomes 25% of the new mixture? | {
"A": "11 liters",
"B": "11.2 liters",
"C": "12.5 liters",
"D": "13.78 liters",
"E": "13.33 liters"
} | divide(subtract(multiply(divide(25, const_100), 200), multiply(divide(20, const_100), 200)), subtract(const_1, divide(25, const_100))) | divide(n2,const_100)|divide(n1,const_100)|multiply(n0,#0)|multiply(n0,#1)|subtract(const_1,#0)|subtract(#2,#3)|divide(#5,#4)| | "number of liters of water in 200 liters of the mixture = 20 % of 120 = 20 / 100 * 200 = 40 liters . p liters of water added to the mixture to make water 25 % of the new mixture . total amount of water becomes ( 40 + p ) and total volume of mixture is ( 200 + p ) . ( 40 + p ) = 25 / 100 * ( 200 + p ) 160 + 4 p = 200 + p p = 13.33 liters . answer : e" | general |
math_qa__oBcAoqSL9c2EtjuN | the average ( arithmetic mean ) of 5 numbers is 5 . if 2 is subtracted from each of 4 of the numbers , what is the new average ? Choose the correct choice from the following options.
A) 3.4
B) 4.5
C) 6.2
D) 5.7
E) 6.9 | <gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">2 * 4</gadget>
<output>8</output>
<gadget id="calculator">25 - 8</gadget>
<output>17</output>
<gadget id="calculator">17 / 5</gadget>
<output>17/5 = around 3.4</output>
<result>A</result> | A | 3.4 | the average ( arithmetic mean ) of 5 numbers is 5 . if 2 is subtracted from each of 4 of the numbers , what is the new average ? | {
"A": "3.4",
"B": "4.5",
"C": "6.2",
"D": "5.7",
"E": "6.9"
} | divide(subtract(multiply(5, 5), multiply(2, 4)), 5) | multiply(n0,n0)|multiply(n2,n3)|subtract(#0,#1)|divide(#2,n0) | let the numbers be a , b , c , d , e , f so , total of these 5 numbers must be 25 or , a + b + c + d + e = 25 so , 12 must be subtracted from the total sum i . e a + b + c + d + e - 8 or , 25 - 8 = 17 hence average of the 5 numbers now is 17 / 5 = > 3.4 so , answer will be a | general |
math_qa__kDAYfRoSbwbsbjx5 | The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4ΟΒ·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many Q grams? Answers.
A) q = 16 B) q = 32 C) 64 D) 128 E) 512 | <gadget id="calculator">8 * 4</gadget>
<output>32</output>
<result>B</result> | B | 32 | The weight of a hollow sphere is directly dependent on its surface area. The surface area of a sphere is 4ΟΒ·R^2, where R is the radius of the sphere. If a hollow sphere of radius 0.15 cm made of a certain metal weighs 8 grams, a hollow sphere of radius 0.3 cm made of the same metal would weigh how many Q grams? | {
"A": "q = 16",
"B": "q = 32",
"C": "64",
"D": "128",
"E": "512"
} | multiply(8, 4) | multiply(n0,n3) | weight directly proportional to 4 pi r ^ 2 now , 4 pi is constant , so , weight is directly proportional to r ^ 2 . when radius = 0.15 , weight = 8 , so ( 0.15 ) ^ 2 proportional to 8 ; ( 0.15 ) ^ 2 * 4 proportional to 8 * 4 , solving further ( 0.15 ) ^ 2 * 2 ^ 2 = ( 0.15 * 2 ) ^ 2 = 0.3 ^ 2 ; so answer = 32 ( b ) | geometry |
math_qa__nv0NL9rnGHYDHlWp | A man can row upstream at 34 kmph and downstream at 48 kmph, and then find the speed of the man in still water? Pick.
A) 29 B) 92 C) 41 D) 32 E) 23 | <gadget id="calculator">34 + 48</gadget>
<output>82</output>
<gadget id="calculator">82 / 2</gadget>
<output>41</output>
<result>C</result> | C | 41 | A man can row upstream at 34 kmph and downstream at 48 kmph, and then find the speed of the man in still water? | {
"A": "29",
"B": "92",
"C": "41",
"D": "32",
"E": "23"
} | divide(add(34, 48), const_2) | add(n0,n1)|divide(#0,const_2)| | "us = 34 ds = 48 m = ( 48 + 34 ) / 2 = 41 answer : c" | physics |
math_qa__G8etcRynVN7PmX9Q | One ton has 2300 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons? Choose one:
A) 1840 B) 1700 C) 2350 D) 2500 E) 8000 | <gadget id="calculator">13 * 2_300</gadget>
<output>29_900</output>
<gadget id="calculator">29_900 * 16</gadget>
<output>478_400</output>
<gadget id="calculator">16 * 16</gadget>
<output>256</output>
<gadget id="calculator">256 + 4</gadget>
<output>260</output>
<gadget id="calculator">478_400 / 260</gadget>
<output>1_840</output>
<result>A</result> | A | 1,840 | One ton has 2300 pounds, and one pound has 16 ounces. How many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons? | {
"A": "1840",
"B": "1700",
"C": "2350",
"D": "2500",
"E": "8000"
} | divide(multiply(multiply(13, 2300), 16), add(multiply(16, 16), 4)) | multiply(n0,n4)|multiply(n1,n1)|add(n3,#1)|multiply(n1,#0)|divide(#3,#2)| | "16 pounds and 4 ounces = 16 * 16 + 4 = 260 ounces . 13 tons = 13 * 2300 pound = 13 * 2300 * 16 ounces . hence the answer is ( 13 * 2300 * 16 ) / 260 = 1840 . answer : a ." | general |
math_qa__cWksJoNTgiqH1Vpi | Total dinning bill for 10 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share Options:
A) $ 30.14 B) 45.14 C) 34.66 D) 32.29 E) 24.26 | <gadget id="calculator">15 * 211</gadget>
<output>3_165</output>
<gadget id="calculator">3_165 / 100</gadget>
<output>633/20 = around 31.65</output>
<gadget id="calculator">211 + (633/20)</gadget>
<output>4_853/20 = around 242.65</output>
<gadget id="calculator">(4_853/20) / 10</gadget>
<output>4_853/200 = around 24.265</output>
<result>E</result> | E | 24.26 | Total dinning bill for 10 people was $211.00.If they add 15% tip and divided the bill evenly ,approximate.What was each persons find share | {
"A": "$ 30.14",
"B": "45.14",
"C": "34.66",
"D": "32.29",
"E": "24.26"
} | divide(add(211, divide(multiply(15, 211), const_100)), 10) | multiply(n1,n2)|divide(#0,const_100)|add(n1,#1)|divide(#2,n0) | 211 * 15 = 3165 / 100 = 31.65 211 + 31.65 = 242.65 242.65 / 10 = 24.26 answer : e | general |
math_qa__B9ayyneFOWhWUxxI | Sawyer is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be peanut oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Sawyer accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be peanut oil?
Choose the correct choice from the following choices:
A) 15 / 29
B) 5 / 8
C) 5 / 16
D) 1 / 2
E) 13 / 27 | <gadget id="calculator">5 / 8</gadget>
<output>5/8 = around 0.625</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">(5/8) / (5/4)</gadget>
<output>1/2 = around 0.5</output>
<result>A</result> | A | 0.517241 | Sawyer is mixing up a salad dressing. Regardless of the number of servings, the recipe requires that 5/8 of the finished dressing mix be peanut oil, 1/4 vinegar, and the remainder an even mixture of salt, pepper and sugar. If Sawyer accidentally doubles the vinegar and forgets the sugar altogether, what proportion of the botched dressing will be peanut oil? | {
"A": "15 / 29",
"B": "5 / 8",
"C": "5 / 16",
"D": "1 / 2",
"E": "13 / 27"
} | divide(divide(5, 8), add(const_1, divide(1, 4))) | divide(n0,n1)|divide(n2,n3)|add(#1,const_1)|divide(#0,#2) | peanut oil = 5 / 8 = 15 / 24 - - > 15 parts out of 24 ; vinegar = 1 / 4 = 6 / 24 - - > 6 parts out of 24 ; salt + pepper + sugar = 1 - ( 15 / 24 + 6 / 24 ) = 3 / 24 , so each = 1 / 24 - - > 1 part out of 24 each ; if vinegar = 12 ( instead of 6 ) and sugar = 0 ( instead of 1 ) then total = 15 + 12 + 1 + 1 + 0 = 29 parts out of which 15 parts are peanut oil - - > proportion = 15 / 29 . answer : a . | general |
math_qa__m4UjHjvh25WndYen | RAJA and RAM can together complete a piece of work in 4 days. If RAJA alone can complete the same work in 12 days, in how many days can RAM alone complete that work ? Answers
A) 6 days B) 5 days C) 7 days D) 8 days E) 10 days | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/4) - (1/12)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / (1/6)</gadget>
<output>6</output>
<result>A</result> | A | 6 | RAJA and RAM can together complete a piece of work in 4 days. If RAJA alone can complete the same work in 12 days, in how many days can RAM alone complete that work ? | {
"A": "6 days",
"B": "5 days",
"C": "7 days",
"D": "8 days",
"E": "10 days"
} | divide(const_1, subtract(divide(const_1, 4), divide(const_1, 12))) | divide(const_1,n0)|divide(const_1,n1)|subtract(#0,#1)|divide(const_1,#2) | ( raja + ram ) ' s 1 days work = 1 / 4 raja 1 day work = 1 / 2 ram 1 day work = ( 1 / 4 - 1 / 12 ) = 1 / 6 = = > 6 days answer a | physics |
math_qa__5lVICFhSG4AU1EwP | On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 330 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school? Pick:
A) 237 B) 287 C) 197 D) 660 E) 720 | <gadget id="calculator">330 * 2</gadget>
<output>660</output>
<result>D</result> | D | 660 | On the independence day, bananas were be equally distributed among the children in a school so that each child would get two bananas. On the particular day 330 children were absent and as a result each child got two extra bananas. Find the actual number of children in the school? | {
"A": "237",
"B": "287",
"C": "197",
"D": "660",
"E": "720"
} | multiply(330, const_2) | multiply(n0,const_2)| | "explanation : let the number of children in the school be x . since each child gets 2 bananas , total number of bananas = 2 x . 2 x / ( x - 330 ) = 2 + 2 ( extra ) = > 2 x - 660 = x = > x = 660 . answer : d" | general |
math_qa__duTdpvFA9QfzVP17 | A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete that work?
Choose the most appropriate option
A) 5 B) 7 C) 6 D) 4 E) 8 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/4) - (1/12)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / (1/6)</gadget>
<output>6</output>
<result>C</result> | C | 6 | A and B together can complete a piece of work in 4 days. If A alone can complete the same work in 12 days, in how many days can B alone complete that work? | {
"A": "5",
"B": "7",
"C": "6",
"D": "4",
"E": "8"
} | divide(const_1, subtract(divide(const_1, 4), divide(const_1, 12))) | divide(const_1,n0)|divide(const_1,n1)|subtract(#0,#1)|divide(const_1,#2)| | "a and b ' s one day work = 1 / 4 a ' s 1 day ' s work = 1 / 12 b ' s 1 day ' s work = ( 1 / 4 ) - ( 1 / 12 ) = 2 / 12 = 1 / 6 hence b alone can complete the work in 6 days . answer is option c" | physics |
math_qa__Z1EajvNv3PieYgRo | A train 300 m long, running with a speed of 90 km/hr will pass a tree in? Choose the correct choice from the following options: A) 17 sec B) 16 sec C) 18 sec D) 14 sec E) 12 sec | <gadget id="calculator">90 * 1_000</gadget>
<output>90_000</output>
<gadget id="calculator">300 / 90_000</gadget>
<output>1/300 = around 0.003333</output>
<gadget id="calculator">(1/300) * 3_600</gadget>
<output>12</output>
<result>E</result> | E | 12 | A train 300 m long, running with a speed of 90 km/hr will pass a tree in? | {
"A": "17 sec",
"B": "16 sec",
"C": "18 sec",
"D": "14 sec",
"E": "12 sec"
} | multiply(divide(300, multiply(90, const_1000)), const_3600) | multiply(n1,const_1000)|divide(n0,#0)|multiply(#1,const_3600)| | "speed = 90 * 5 / 18 = 25 m / sec time taken = 300 * 1 / 25 = 12 sec answer : e" | physics |
math_qa__wkzXOW1XLLKtx9qS | Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $75?
Pick.
A) 4 B) 18 C) 15 D) 20 E) 24 | <gadget id="calculator">75 * 30</gadget>
<output>2_250</output>
<gadget id="calculator">2_250 - 1_800</gadget>
<output>450</output>
<gadget id="calculator">75 - 50</gadget>
<output>25</output>
<gadget id="calculator">450 / 25</gadget>
<output>18</output>
<result>B</result> | B | 18 | Tourist purchased a total of 30 travelers checks in $50 and $100 denominations. The total worth of the travelers checks is $1800. How many checks of $50 denominations can he spend so that average amount (arithmetic mean) of the remaining travelers checks is $75? | {
"A": "4",
"B": "18",
"C": "15",
"D": "20",
"E": "24"
} | divide(subtract(multiply(75, 30), 1800), subtract(75, 50)) | multiply(n0,n5)|subtract(n5,n1)|subtract(#0,n3)|divide(#2,#1) | you could set - up a quick table and brute force the answer . a 4 * 50 200 1800 - 200 1600 26 61.54 b 18 * 50 600 1800 - 900 0900 12 75.00 c 15 * 50 750 1800 - 750 1050 15 70.00 d 20 * 50 1000 1800 - 1000 800 10 80.00 e 24 * 50 1200 1800 - 1200 600 6 100.00 answer is b | general |
math_qa__IJua8JnKRUdCiTyt | If x is an integer and 2.134 Γ 10^x is less than 21000, what is the greatest possible value for x? Choose one:
A) 7
B) 6
C) 5
D) 4
E) 3 | <gadget id="calculator">21_000 / 2.134</gadget>
<output>9_840.674789</output>
<gadget id="calculator">log(9_840.674789)</gadget>
<output>9.19428</output>
<gadget id="calculator">log(10)</gadget>
<output>log(10) = around 2.302585</output>
<gadget id="calculator">9.19428 / log(10)</gadget>
<output>9.19428/log(10) = around 3.993025</output>
<gadget id="calculator">floor(9.19428/log(10))</gadget>
<output>3</output>
<result>E</result> | E | 3 | If x is an integer and 2.134 Γ 10^x is less than 21000, what is the greatest possible value for x? | {
"A": "7",
"B": "6",
"C": "5",
"D": "4",
"E": "3"
} | floor(divide(log(divide(21000, 2.134)), log(10))) | divide(n2,n0)|log(n1)|log(#0)|divide(#2,#1)|floor(#3)| | "if x = 4 2.134 Γ 10 ^ 4 = 21340 > 21000 so , x = 3 answer : e" | general |
math_qa__0ESssgrhjMxfqhPP | The sale price sarees listed for Rs.450 after successive discount is 20% and 15% is? Choices:
A) 321 B) 276 C) 306 D) 265 E) 162 | <gadget id="calculator">450 * 20</gadget>
<output>9_000</output>
<gadget id="calculator">9_000 / 100</gadget>
<output>90</output>
<gadget id="calculator">450 - 90</gadget>
<output>360</output>
<gadget id="calculator">360 * 15</gadget>
<output>5_400</output>
<gadget id="calculator">5_400 / 100</gadget>
<output>54</output>
<gadget id="calculator">360 - 54</gadget>
<output>306</output>
<result>C</result> | C | 306 | The sale price sarees listed for Rs.450 after successive discount is 20% and 15% is? | {
"A": "321",
"B": "276",
"C": "306",
"D": "265",
"E": "162"
} | subtract(subtract(450, divide(multiply(450, 20), const_100)), divide(multiply(subtract(450, divide(multiply(450, 20), const_100)), 15), const_100)) | multiply(n0,n1)|divide(#0,const_100)|subtract(n0,#1)|multiply(n2,#2)|divide(#3,const_100)|subtract(#2,#4)| | "explanation : 450 * ( 80 / 100 ) * ( 85 / 100 ) = 306 answer : c" | gain |
math_qa__La5uCh3AOSoZkCKk | If there are 200 questions in a 3 hr examination. Among these questions are 15 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems? Answers.
A) 72 min B) 25.11628 min C) 70 min D) 74.11682 min E) 76 min | <gadget id="calculator">3 * 60</gadget>
<output>180</output>
<gadget id="calculator">200 - 15</gadget>
<output>185</output>
<gadget id="calculator">2 * 15</gadget>
<output>30</output>
<gadget id="calculator">185 + 30</gadget>
<output>215</output>
<gadget id="calculator">180 / 215</gadget>
<output>36/43 = around 0.837209</output>
<gadget id="calculator">2 * (36/43)</gadget>
<output>72/43 = around 1.674419</output>
<gadget id="calculator">(72/43) * 15</gadget>
<output>1_080/43 = around 25.116279</output>
<result>B</result> | B | 25.11628 | If there are 200 questions in a 3 hr examination. Among these questions are 15 type A problems, which requires twice as much as time be spent than the rest of the type B problems. How many minutes should be spent on type A problems? | {
"A": "72 min",
"B": "25.11628 min",
"C": "70 min",
"D": "74.11682 min",
"E": "76 min"
} | multiply(multiply(const_2, divide(multiply(3, const_60), add(subtract(200, 15), multiply(const_2, 15)))), 15) | multiply(n1,const_60)|multiply(n2,const_2)|subtract(n0,n2)|add(#1,#2)|divide(#0,#3)|multiply(#4,const_2)|multiply(n2,#5)| | "x = time for type b prolems 2 x = time for type a problem total time = 3 hrs = 180 min 185 x + 15 * 2 x = 180 x = 180 / 215 x = 0.837209 time taken for type a problem = 15 * 2 * 0.837209 = 25.11628 min answer : b" | general |
math_qa__kWx9jfPnHuySLG0R | Express 45 mps in kmph? Choose the correct option:
A) 170 B) 160 C) 162 D) 130 E) 122 | <gadget id="calculator">45 / 1_000</gadget>
<output>9/200 = around 0.045</output>
<gadget id="calculator">(9/200) * 3_600</gadget>
<output>162</output>
<result>C</result> | C | 162 | Express 45 mps in kmph? | {
"A": "170",
"B": "160",
"C": "162",
"D": "130",
"E": "122"
} | multiply(divide(45, const_1000), const_3600) | divide(n0,const_1000)|multiply(#0,const_3600)| | "45 * 18 / 5 = 162 kmph answer : c" | physics |
math_qa__8NvQjr80Sj8dJ7gl | A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A Choose the most appropriate option:
A) rs . 300 B) rs . 56 C) rs . 100 D) rs . 240 E) rs . 90 | <gadget id="calculator">3_000 * 8</gadget>
<output>24_000</output>
<gadget id="calculator">3_000 - 1_000</gadget>
<output>2_000</output>
<gadget id="calculator">12 - 8</gadget>
<output>4</output>
<gadget id="calculator">2_000 * 4</gadget>
<output>8_000</output>
<gadget id="calculator">24_000 + 8_000</gadget>
<output>32_000</output>
<gadget id="calculator">4_000 * 8</gadget>
<output>32_000</output>
<gadget id="calculator">4_000 + 1_000</gadget>
<output>5_000</output>
<gadget id="calculator">5_000 * 4</gadget>
<output>20_000</output>
<gadget id="calculator">32_000 + 20_000</gadget>
<output>52_000</output>
<gadget id="calculator">32_000 + 52_000</gadget>
<output>84_000</output>
<gadget id="calculator">630 / 84_000</gadget>
<output>3/400 = around 0.0075</output>
<gadget id="calculator">(3/400) * 32_000</gadget>
<output>240</output>
<result>D</result> | D | 240 | A and B began business with Rs.3000 and Rs.4000 after 8 months, A withdraws Rs.1000 and B advances Rs.1000 more. At the end of the year, their profits amounted to Rs.630 find the share of A | {
"A": "rs . 300",
"B": "rs . 56",
"C": "rs . 100",
"D": "rs . 240",
"E": "rs . 90"
} | multiply(divide(630, add(add(multiply(3000, 8), multiply(subtract(3000, 1000), subtract(const_12, 8))), add(multiply(4000, 8), multiply(add(4000, 1000), subtract(const_12, 8))))), add(multiply(3000, 8), multiply(subtract(3000, 1000), subtract(const_12, 8)))) | add(n1,n3)|multiply(n0,n2)|multiply(n1,n2)|subtract(n0,n3)|subtract(const_12,n2)|multiply(#3,#4)|multiply(#0,#4)|add(#1,#5)|add(#2,#6)|add(#7,#8)|divide(n5,#9)|multiply(#7,#10)| | "explanation : ( 3 * 8 + 2 * 4 ) : ( 4 * 8 + 5 * 4 ) 8 : 13 8 / 21 * 630 = rs . 240 answer : d" | gain |
math_qa__IFsSk0mqfqUhyESm | Express a speed of 126 kmph in meters per second? Choose the correct choice from the following options
A) 10 mps
B) 35 mps
C) 26 mps
D) 97 mps
E) 16 mps | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">(5/18) * 126</gadget>
<output>35</output>
<result>B</result> | B | 35 | Express a speed of 126 kmph in meters per second? | {
"A": "10 mps",
"B": "35 mps",
"C": "26 mps",
"D": "97 mps",
"E": "16 mps"
} | multiply(const_0_2778, 126) | multiply(n0,const_0_2778)| | "126 * 5 / 18 = 35 mps answer : b" | physics |
math_qa__qadcexM7FChZi38f | A cricket bat is sold for $850, making a profit of $245. The profit percentage would be Choose the correct choice from the following options
A) 24 % B) 25 % C) 30 % D) 36 % E) 40 % | <gadget id="calculator">850 - 245</gadget>
<output>605</output>
<gadget id="calculator">245 / 605</gadget>
<output>49/121 = around 0.404959</output>
<gadget id="calculator">(49/121) * 100</gadget>
<output>4_900/121 = around 40.495868</output>
<result>E</result> | E | 40 | A cricket bat is sold for $850, making a profit of $245. The profit percentage would be | {
"A": "24 %",
"B": "25 %",
"C": "30 %",
"D": "36 %",
"E": "40 %"
} | multiply(divide(245, subtract(850, 245)), const_100) | subtract(n0,n1)|divide(n1,#0)|multiply(#1,const_100)| | "245 / ( 850 - 245 ) = 245 / 605 = 49 / 121 = 40 % . answer : e ." | gain |
math_qa__wqQUffWvZTQHjsni | The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car? Pick:
A) 12
B) 75
C) 88
D) 54
E) 15 | <gadget id="calculator">90 + 60</gadget>
<output>150</output>
<gadget id="calculator">150 / 2</gadget>
<output>75</output>
<result>B</result> | B | 75 | The speed of a car is 90 km in the first hour and 60 km in the second hour. What is the average speed of the car? | {
"A": "12",
"B": "75",
"C": "88",
"D": "54",
"E": "15"
} | divide(add(90, 60), const_2) | add(n0,n1)|divide(#0,const_2)| | "s = ( 90 + 60 ) / 2 = 75 kmph answer : b" | physics |
math_qa__EZKkM3qR9Ghnb5kM | If shares of two persons in profits are Rs.300 and Rs.600 then ratio of their capitals is Choose the correct choice from the following choices:
A) 3 : 4 B) 2 : 3 C) 4 : 3 D) 1 : 3 E) 1 : 2 | <gadget id="calculator">300 / 600</gadget>
<output>1/2 = around 0.5</output>
<result>E</result> | E | 0.5 | If shares of two persons in profits are Rs.300 and Rs.600 then ratio of their capitals is | {
"A": "3 : 4",
"B": "2 : 3",
"C": "4 : 3",
"D": "1 : 3",
"E": "1 : 2"
} | divide(300, 600) | divide(n0,n1)| | "total profit = 1000 ratio = 300 / 600 = 1 : 2 answer : e" | other |
math_qa__W9JSRx3gvotGRwNv | A feed store sells two varieties of birdseed: Brand A, which is 40% millet and 60% sunflower, and Brand B, which is 65% millet and 35% sunflower. If a customer purchases a mix of the two types of birdseed that is 50% sunflower, what percent of the mix is Brand A? Choose the correct answer
A) 40 %
B) 45 %
C) 50 %
D) 55 %
E) 60 % | <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) * 100</gadget>
<output>60</output>
<result>E</result> | E | 60 | A feed store sells two varieties of birdseed: Brand A, which is 40% millet and 60% sunflower, and Brand B, which is 65% millet and 35% sunflower. If a customer purchases a mix of the two types of birdseed that is 50% sunflower, what percent of the mix is Brand A? | {
"A": "40 %",
"B": "45 %",
"C": "50 %",
"D": "55 %",
"E": "60 %"
} | multiply(divide(const_3, add(const_3, const_2)), const_100) | add(const_2,const_3)|divide(const_3,#0)|multiply(#1,const_100)| | "yes there is a simple method : consider the following method brand a : 40 % millet and 60 % sunflower brand b : 65 % millet and 35 % sunflower mix : 50 % sunflower here the weighted average is 50 % , now brand a has 60 % sunflower , which is 10 % more than the weighted average of mix = + 0.10 a - - - - - - - - - - - - - - - i similarly , brand b has 35 % sunflower , which is 15 % less than the weighted average of mix = - 0.15 b - - - - - - - - - - - - ii now , both brand a and brand b are combined to give a 50 % mix containing millet , so equate i and ii implies , 0.10 a = 0.15 b therefore a / b = 0.15 / 0.10 = 3 / 2 a : b : ( a + b ) = 3 : 2 : ( 3 + 2 ) = 3 : 2 : 5 we have to find , percent of the mix is brand a i . e . a : ( a + b ) = 3 : 5 = ( 3 / 5 ) * 100 = 60 % here is a pictorial representation : brand a = 60 % - - - - - - - - - - - - - - - - - - - - - - - - 10 % or 0.10 above average , a times - - - - - - - - - - - - - - - - - total below = + 0.10 a - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - average = 50 % or 0.50 brand b = 35 % - - - - - - - - - - - - - - - - - - - - - - - - - - 15 % or 0.15 below average , b times - - - - - - - - - - - - - - - - - total above = - 0.15 b since the amount below the average has to equal the average above the average ; therefore , 0.10 a = 0.15 b a / b = 3 / 2 a : b : total = 3 : 2 : 5 therefore a / total = 3 : 5 = 60 % answer : e" | gain |
math_qa__TJyS30zlbuud0pF5 | SAKSHI CAN DO A PIECE OF WORK IN 20 DAYS. TANYA IS 25% MORE EFFICIENT THAN SAKSHI. THE NUMBER OF DAYS TAKEN BY TANYA TO DO THE SAME PIECE OF WORK IS: Choose the correct choice from the following.
A) 15
B) 16
C) 22
D) 18
E) 25 | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">20 / (5/4)</gadget>
<output>16</output>
<result>B</result> | B | 16 | SAKSHI CAN DO A PIECE OF WORK IN 20 DAYS. TANYA IS 25% MORE EFFICIENT THAN SAKSHI. THE NUMBER OF DAYS TAKEN BY TANYA TO DO THE SAME PIECE OF WORK IS: | {
"A": "15",
"B": "16",
"C": "22",
"D": "18",
"E": "25"
} | divide(20, add(const_1, divide(25, const_100))) | divide(n1,const_100)|add(#0,const_1)|divide(n0,#1)| | "work done by sakshi in 1 day = 1 / 20 since tanya is 25 % efficient than sakshi , she completes 25 % more work in a day than sakshi . = > tanya ' s 1 day work = 1 / 20 + 1 / 20 * 25 / 100 = 1 / 16 so time taken by tanya to finish the work = 16 days answer : b" | physics |
math_qa__tqfK2tknbdeRpIQA | In an election a candidate who gets 60% of the votes is elected by a majority of 1504 votes. What is the total number of votes polled? Choose the correct answer
A) 4500 B) 5200 C) 6900 D) 7520 E) 6000 | <gadget id="calculator">100 - 60</gadget>
<output>40</output>
<gadget id="calculator">60 - 40</gadget>
<output>20</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1_504 / (1/5)</gadget>
<output>7_520</output>
<result>D</result> | D | 7,520 | In an election a candidate who gets 60% of the votes is elected by a majority of 1504 votes. What is the total number of votes polled? | {
"A": "4500",
"B": "5200",
"C": "6900",
"D": "7520",
"E": "6000"
} | divide(1504, divide(subtract(60, subtract(const_100, 60)), const_100)) | subtract(const_100,n0)|subtract(n0,#0)|divide(#1,const_100)|divide(n1,#2) | let the total number of votes polled be x then , votes polled by other candidate = ( 100 - 60 ) % of x = 40 % of x 60 % of x - 40 % of x = 1504 20 x / 100 = 1504 x = 1504 * 100 / 20 = 7520 answer is d | gain |
math_qa__ZfwGOq3Fx3RCvIIv | Two boats are heading towards each other at constant speeds of 5 miles/hr and 21 miles/hr respectively. They begin at a distance 20 miles from each other. How far are they (in miles) one minute before they collide ? Choose the most appropriate option
A) 1 / 12
B) 5 / 12
C) 1 / 6
D) 13 / 30
E) 1 / 5 | <gadget id="calculator">21 + 5</gadget>
<output>26</output>
<gadget id="calculator">26 / 60</gadget>
<output>13/30 = around 0.433333</output>
<result>D</result> | D | 0.433333 | Two boats are heading towards each other at constant speeds of 5 miles/hr and 21 miles/hr respectively. They begin at a distance 20 miles from each other. How far are they (in miles) one minute before they collide ? | {
"A": "1 / 12",
"B": "5 / 12",
"C": "1 / 6",
"D": "13 / 30",
"E": "1 / 5"
} | divide(add(21, 5), const_60) | add(n0,n1)|divide(#0,const_60) | the question asks : how far apart will they be 1 minute = 1 / 60 hours before they collide ? since the combined rate of the boats is 5 + 21 = 26 mph then 1 / 60 hours before they collide they ' ll be rate * time = distance - - > 26 * 1 / 60 = 13 / 30 miles apart . answer : d . | physics |
math_qa__qh6lKbYhMnDMtZvm | 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work?
Choose the correct choice from the following answers:
A) 12 B) 18 C) 22 D) 24 E) 26 | <gadget id="calculator">18 * 36</gadget>
<output>648</output>
<gadget id="calculator">648 / 27</gadget>
<output>24</output>
<result>D</result> | D | 24 | 36 men can complete a piece of work in 18 days. In how many days will 27 men complete the same work? | {
"A": "12",
"B": "18",
"C": "22",
"D": "24",
"E": "26"
} | divide(multiply(18, 36), 27) | multiply(n0,n1)|divide(#0,n2)| | "solution let the required number of days be x . then , less men , more days β΄ 27 : 36 : : 18 : x β 27 Γ x = 36 Γ 18 β x = 36 x 18 / 27 x = 24 . answer d" | physics |
math_qa__JziS9MamcWSRvwjG | Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/2, what percent of the total number of the remaining employees would then be clerical? Choose the correct choice: A) 25 % B) 22.2 % C) 20 % D) 12.5 % E) 11.1 % | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 - (1/2)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/3) * (1/2)</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(1/6) + (2/3)</gadget>
<output>5/6 = around 0.833333</output>
<gadget id="calculator">(1/6) / (5/6)</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 100</gadget>
<output>20</output>
<result>C</result> | C | 20 | Of the 3,600 employees of Company X, 1/3 are clerical. If the clerical staff were to be reduced by 1/2, what percent of the total number of the remaining employees would then be clerical? | {
"A": "25 %",
"B": "22.2 %",
"C": "20 %",
"D": "12.5 %",
"E": "11.1 %"
} | multiply(divide(multiply(divide(1, 3), subtract(1, divide(1, 2))), add(multiply(divide(1, 3), subtract(1, divide(1, 2))), subtract(1, divide(1, 3)))), const_100) | divide(n1,n2)|divide(n3,n4)|subtract(n3,#1)|subtract(n3,#0)|multiply(#0,#2)|add(#4,#3)|divide(#4,#5)|multiply(#6,const_100)| | "let ' s see , the way i did it was 1 / 3 are clerical out of 3600 so 1200 are clerical 1200 reduced by 1 / 2 is 1200 * 1 / 2 so it reduced 600 people , so there is 600 clerical people left but since 600 people left , it also reduced from the total of 3600 so there are 3000 people total since 600 clerical left / 3000 people total you get ( c ) 20 %" | general |
math_qa__p8nHmhrC9NK40xFj | If A lends Rs.2800 to B at 15% per annum and B lends the same sum to C at 18.5% per annum then the gain of B in a period of 3 years is? Select.
A) 294
B) 289
C) 240
D) 233
E) 200 | <gadget id="calculator">2_800 * 18.5</gadget>
<output>51_800</output>
<gadget id="calculator">51_800 * 3</gadget>
<output>155_400</output>
<gadget id="calculator">155_400 / 100</gadget>
<output>1_554</output>
<gadget id="calculator">2_800 * 15</gadget>
<output>42_000</output>
<gadget id="calculator">42_000 * 3</gadget>
<output>126_000</output>
<gadget id="calculator">126_000 / 100</gadget>
<output>1_260</output>
<gadget id="calculator">1_554 - 1_260</gadget>
<output>294</output>
<result>A</result> | A | 294 | If A lends Rs.2800 to B at 15% per annum and B lends the same sum to C at 18.5% per annum then the gain of B in a period of 3 years is? | {
"A": "294",
"B": "289",
"C": "240",
"D": "233",
"E": "200"
} | subtract(divide(multiply(multiply(2800, 18.5), 3), const_100), divide(multiply(multiply(2800, 15), 3), const_100)) | multiply(n0,n2)|multiply(n0,n1)|multiply(#0,n3)|multiply(n3,#1)|divide(#2,const_100)|divide(#3,const_100)|subtract(#4,#5)| | "( 2800 * 3.5 * 3 ) / 100 = > 294 answer : a" | gain |
math_qa__LuzKA4XBJCfNWoYN | Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 1% more. She would get how much? Choose the correct answer.
A) 9440 B) 96288 C) 26667 D) 1662 E) 2882 | <gadget id="calculator">1 / 100</gadget>
<output>1/100 = around 0.01</output>
<gadget id="calculator">9_200 - 8_000</gadget>
<output>1_200</output>
<gadget id="calculator">1_200 / 3</gadget>
<output>400</output>
<gadget id="calculator">400 / 8_000</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/100) + (1/20)</gadget>
<output>3/50 = around 0.06</output>
<gadget id="calculator">(3/50) * 8_000</gadget>
<output>480</output>
<gadget id="calculator">480 * 3</gadget>
<output>1_440</output>
<gadget id="calculator">1_440 + 8_000</gadget>
<output>9_440</output>
<result>A</result> | A | 9,440 | Sonika deposited Rs.8000 which amounted to Rs.9200 after 3 years at simple interest. Had the interest been 1% more. She would get how much? | {
"A": "9440",
"B": "96288",
"C": "26667",
"D": "1662",
"E": "2882"
} | add(multiply(multiply(add(divide(1, const_100), divide(divide(subtract(9200, 8000), 3), 8000)), 8000), 3), 8000) | divide(n3,const_100)|subtract(n1,n0)|divide(#1,n2)|divide(#2,n0)|add(#0,#3)|multiply(n0,#4)|multiply(n2,#5)|add(n0,#6)| | "( 8000 * 3 * 1 ) / 100 = 240 9200 - - - - - - - - 9440 answer : a" | gain |
math_qa__4XPFePQMkVyHjtMa | john is 3 times as old as sam . if john will be twice as old as sam in 9 years , how old was sam two years ago ? Choose the correct option.
A) 2 B) 4 C) 6 D) 8 E) 7 | <gadget id="calculator">2 * 9</gadget>
<output>18</output>
<gadget id="calculator">18 - 9</gadget>
<output>9</output>
<gadget id="calculator">9 - 2</gadget>
<output>7</output>
<result>E</result> | E | 7 | john is 3 times as old as sam . if john will be twice as old as sam in 9 years , how old was sam two years ago ? | {
"A": "2",
"B": "4",
"C": "6",
"D": "8",
"E": "7"
} | subtract(subtract(multiply(const_2, 9), 9), const_2) | multiply(n1,const_2)|subtract(#0,n1)|subtract(#1,const_2) | j = 3 s after 9 years j + 9 = 2 ( s + 9 ) j = 2 s + 9 2 s + 9 = 3 s s = 9 two years ago s = 9 - 2 = 7 e is the answer | general |
math_qa__XB7b7JOfQNloFHq0 | A bowl of fruit contains 14 apples and 23 oranges. How many oranges must be removed so that 70% of the pieces of fruit in the bowl will be apples? Pick one.
A) 3 B) 6 C) 14 D) 17 E) 20 | <gadget id="calculator">14 + 23</gadget>
<output>37</output>
<gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">37 * (7/10)</gadget>
<output>259/10 = around 25.9</output>
<gadget id="calculator">(259/10) - 14</gadget>
<output>119/10 = around 11.9</output>
<gadget id="calculator">(119/10) / (7/10)</gadget>
<output>17</output>
<result>D</result> | D | 17 | A bowl of fruit contains 14 apples and 23 oranges. How many oranges must be removed so that 70% of the pieces of fruit in the bowl will be apples? | {
"A": "3",
"B": "6",
"C": "14",
"D": "17",
"E": "20"
} | divide(subtract(multiply(add(14, 23), divide(70, const_100)), 14), divide(70, const_100)) | add(n0,n1)|divide(n2,const_100)|multiply(#0,#1)|subtract(#2,n0)|divide(#3,#1) | number of apples = 14 number of oranges = 23 let number of oranges that must be removed so that 70 % of pieces of fruit in bowl will be apples = x total number of fruits after x oranges are removed = 14 + ( 23 - x ) = 37 - x 14 / ( 37 - x ) = 7 / 10 = > 20 = 37 - x = > x = 17 answer d | gain |
math_qa__mxXL6CLz0m67ADAr | β(49)2 Choose the correct choice from the following choices.
A) 7 B) 14 C) 49 D) 21 E) none of these | <gadget id="calculator">49 ** 2</gadget>
<output>2_401</output>
<gadget id="calculator">2_401 ** (1/2)</gadget>
<output>49</output>
<result>C</result> | C | 49 | β(49)2 | {
"A": "7",
"B": "14",
"C": "49",
"D": "21",
"E": "none of these"
} | sqrt(power(49, 2)) | power(n0,n1)|sqrt(#0)| | "explanation β ( 49 ) 2 = ? or , ? = 49 answer c" | general |
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