id stringlengths 25 25 | question stringlengths 45 1.01k | chain stringlengths 75 4.11k | result stringclasses 5
values | result_float float64 -4,212 100B | question_without_options stringlengths 6 962 | options dict | annotated_formula stringlengths 7 6.48k | linear_formula stringlengths 8 925 | rationale stringlengths 1 2.74k | category stringclasses 6
values |
|---|---|---|---|---|---|---|---|---|---|---|
math_qa__9DkPq0AODYizyojd | Two trains of equal lengths take 10 sec and 18 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction? Choose one.
A) 11 B) 9 C) 13 D) 14 E) 12.8 | <gadget id="calculator">120 * 2</gadget>
<output>240</output>
<gadget id="calculator">120 / 18</gadget>
<output>20/3 = around 6.666667</output>
<gadget id="calculator">120 / 10</gadget>
<output>12</output>
<gadget id="calculator">(20/3) + 12</gadget>
<output>56/3 = around 18.666667</output>
<gadget id="calculator">... | E | 12.8 | Two trains of equal lengths take 10 sec and 18 sec respectively to cross a telegraph post. If the length of each train be 120 m, in what time will they cross other travelling in opposite direction? | {
"A": "11",
"B": "9",
"C": "13",
"D": "14",
"E": "12.8"
} | divide(multiply(120, const_2), add(speed(120, 18), speed(120, 10))) | multiply(n2,const_2)|speed(n2,n1)|speed(n2,n0)|add(#1,#2)|divide(#0,#3)| | "speed of the first train = 120 / 10 = 12 m / sec . speed of the second train = 120 / 18 = 6.7 m / sec . relative speed = 12 + 6.7 = 18.7 m / sec . required time = ( 120 + 120 ) / 18.7 = 12.8 sec . answer : option e" | physics |
math_qa__oDdjogOs0cZQsbhF | if one - third of one fourth of a number is 15 , then 3 - tenth of that number is : Choose the correct choice.
A) 35 B) 25 C) 45 D) 54 E) 52 | <gadget id="calculator">15 * 3</gadget>
<output>45</output>
<gadget id="calculator">45 + 12</gadget>
<output>57</output>
<gadget id="calculator">57 - 3</gadget>
<output>54</output>
<result>D</result> | D | 54 | if one - third of one fourth of a number is 15 , then 3 - tenth of that number is : | {
"A": "35",
"B": "25",
"C": "45",
"D": "54",
"E": "52"
} | subtract(add(multiply(15, 3), const_12), const_3) | multiply(n0,n1)|add(#0,const_12)|subtract(#1,const_3) | let the number be x . then , 1 / 3 of 1 / 4 of x = 15 x = 15 * 12 = 180 so , required number = ( 3 / 10 * 180 ) = 54 . answer : d | general |
math_qa__ebcEs2dEoMwtaJjU | On dividing a number by 7, we get 3 as quotient and 0 as remainder. On dividing the same number by 3, what will be the remainder? Choose the correct choice from the following.
A) 1
B) 2
C) 3
D) 0
E) 4 | <gadget id="calculator">7 * 3</gadget>
<output>21</output>
<gadget id="calculator">21 % 3</gadget>
<output>0</output>
<result>D</result> | D | 0 | On dividing a number by 7, we get 3 as quotient and 0 as remainder. On dividing the same number by 3, what will be the remainder? | {
"A": "1",
"B": "2",
"C": "3",
"D": "0",
"E": "4"
} | reminder(multiply(7, 3), 3) | multiply(n0,n1)|reminder(#0,n3)| | "number = 7 * 3 + 0 = 21 3 ) 21 ( 7 21 - - - - - - - - 0 required number = 0 . answer : d" | general |
math_qa__NjNWdaMQQLtZvert | A and B invests Rs.3000 and Rs.7000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit? Choose the correct choice from the following answers:
A) 9 : 6 B) 9 : 8 C) 9 : 14 D) 9 : 9 E) 9 : 5 | <gadget id="calculator">3_000 * 6</gadget>
<output>18_000</output>
<gadget id="calculator">3_000 * 2</gadget>
<output>6_000</output>
<gadget id="calculator">6_000 * 6</gadget>
<output>36_000</output>
<gadget id="calculator">18_000 + 36_000</gadget>
<output>54_000</output>
<gadget id="calculator">6 + 6</gadget>
<out... | C | 0.642857 | A and B invests Rs.3000 and Rs.7000 respectively in a business. If A doubles his capital after 6 months. In what ratio should A and B divide that year's profit? | {
"A": "9 : 6",
"B": "9 : 8",
"C": "9 : 14",
"D": "9 : 9",
"E": "9 : 5"
} | divide(add(multiply(3000, 6), multiply(multiply(3000, const_2), 6)), multiply(7000, add(6, 6))) | add(n2,n2)|multiply(n0,n2)|multiply(n0,const_2)|multiply(n2,#2)|multiply(n1,#0)|add(#1,#3)|divide(#5,#4)| | "( 3 * 6 + 6 * 6 ) : ( 7 * 12 ) 54 : 84 = > 9 : 14 . answer : c" | gain |
math_qa__CwoZ4UIQ9LufmC06 | Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 23 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red?
Choose the correct option:
A) 64 B) 7... | <gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">5 ** 3</gadget>
<output>125</output>
<gadget id="calculator">125 - 23</gadget>
<output>102</output>
<result>E</result> | E | 102 | Cubes with each side one inch long are glued together to form a larger cube. The larger cube's face is painted with red color and the entire assembly is taken apart. 23 small cubes are found with no paints on them . How many of unit cubes have at least one face that is painted red? | {
"A": "64",
"B": "72",
"C": "86",
"D": "98",
"E": "102"
} | subtract(power(add(const_1, add(const_1, const_3)), const_3), 23) | add(const_1,const_3)|add(#0,const_1)|power(#1,const_3)|subtract(#2,n0) | use the options . the options which after getting added to 23 shows a cube of a number could be right . here 64 + 23 = 87 72 + 23 = 95 86 + 23 = 109 98 + 23 = 121 102 + 23 = 125 - - - ( 5 * 5 * 5 ) so we have 102 as the answer ! e | geometry |
math_qa__scqeEx9M4jQ9nRfu | What is the % change in the area of a rectangle when its length increases by 25% and its width decreases by 25%? Choose the correct choice:
A) 0 % B) 20 % increase C) 20 % decrease D) 6 % decrease E) insufficient data | <gadget id="calculator">100 + 25</gadget>
<output>125</output>
<gadget id="calculator">100 - 25</gadget>
<output>75</output>
<gadget id="calculator">125 * 75</gadget>
<output>9_375</output>
<gadget id="calculator">9_375 / 100</gadget>
<output>375/4 = around 93.75</output>
<gadget id="calculator">100 - (375/4)</gadg... | D | 6 | What is the % change in the area of a rectangle when its length increases by 25% and its width decreases by 25%? | {
"A": "0 %",
"B": "20 % increase",
"C": "20 % decrease",
"D": "6 % decrease",
"E": "insufficient data"
} | subtract(const_100, divide(multiply(add(const_100, 25), subtract(const_100, 25)), const_100)) | add(n0,const_100)|subtract(const_100,n0)|multiply(#0,#1)|divide(#2,const_100)|subtract(const_100,#3)| | "( 125 / 10 ) * ( 75 / 10 ) = 9375 / 100 ~ 94 of original area 0.94 is a 6 % decrease from 100 / 100 - > d" | geometry |
math_qa__tAD78Li93XJmf9L7 | Sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. Sandy attempts 30 sums and obtains 60 marks. How many sums did Sandy get correct?
Answers: A) 18 B) 20 C) 22 D) 24 E) 26 | <gadget id="calculator">2 * 30</gadget>
<output>60</output>
<gadget id="calculator">60 + 60</gadget>
<output>120</output>
<gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">120 / 5</gadget>
<output>24</output>
<result>D</result> | D | 24 | Sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum. Sandy attempts 30 sums and obtains 60 marks. How many sums did Sandy get correct? | {
"A": "18",
"B": "20",
"C": "22",
"D": "24",
"E": "26"
} | divide(add(multiply(2, 30), 60), add(2, 3)) | add(n0,n1)|multiply(n1,n2)|add(n3,#1)|divide(#2,#0)| | "let x be the correct sums and ( 30 - x ) be the incorrect sums . 3 x - 2 ( 30 - x ) = 60 5 x = 120 x = 24 the answer is d ." | general |
math_qa__QTWmeYEqbzNm7y0n | A car dealership has 40 cars on the lot, 20% of which are silver. If the dealership receives a new shipment of 80 cars, 35% of which are not silver, what percentage of total number of cars are silver? Choose one: A) 30 % B) 35 % C) 40 % D) 45 % E) 50 % | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">40 * (1/5)</gadget>
<output>8</output>
<gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">80 * (7/20)</gadget>
<output>28</output>
<gadget id="calculator">8 + 28</ga... | A | 30 | A car dealership has 40 cars on the lot, 20% of which are silver. If the dealership receives a new shipment of 80 cars, 35% of which are not silver, what percentage of total number of cars are silver? | {
"A": "30 %",
"B": "35 %",
"C": "40 %",
"D": "45 %",
"E": "50 %"
} | multiply(divide(add(multiply(40, divide(20, const_100)), multiply(80, divide(35, const_100))), add(40, 80)), const_100) | add(n0,n2)|divide(n1,const_100)|divide(n3,const_100)|multiply(n0,#1)|multiply(n2,#2)|add(#3,#4)|divide(#5,#0)|multiply(#6,const_100)| | "the number of silver cars is 0.2 * 40 + 0.35 * 80 = 36 the percentage of cars which are silver is 36 / 120 = 30 % the answer is a ." | gain |
math_qa__EF3qfFAt9yldzYDP | In a office work is distribute between p persons. If 1/4 members are absent then work increased for each person is? Choices
A) 33.33 % B) 24.33 % C) 15.33 % D) 16.33 % E) 17.33 % | <gadget id="calculator">100 * 4</gadget>
<output>400</output>
<gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">400 / 3</gadget>
<output>400/3 = around 133.333333</output>
<gadget id="calculator">(400/3) - 100</gadget>
<output>100/3 = around 33.333333</output>
<result>A</result> | A | 33.33 | In a office work is distribute between p persons. If 1/4 members are absent then work increased for each person is? | {
"A": "33.33 %",
"B": "24.33 %",
"C": "15.33 %",
"D": "16.33 %",
"E": "17.33 %"
} | subtract(divide(multiply(const_100, 4), subtract(4, 1)), const_100) | multiply(n1,const_100)|subtract(n1,n0)|divide(#0,#1)|subtract(#2,const_100)| | "let total % of work is 100 % total person = p 1 / 4 person are absent of total person . so absent person is 1 / 4 p ie p / 4 . left person is , p - p / 4 = 3 p / 4 . p person do the work 100 % 1 person do the work 100 * p % 3 p / 4 person do the work ( 100 * p * 4 ) / 3 p % = 133.33 % work increased for each person is... | general |
math_qa__4Wim5Zil1W9LdEcu | A cistern is normally filled in 12 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in? Choose the correct choice from the following options:
A) 33
B) 84
C) 40
D) 99
E) 11 | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">12 + 2</gadget>
<output>14</output>
<gadget id="calculator">1 / 14</gadget>
<output>1/14 = around 0.071429</output>
<gadget id="calculator">(1/12) - (1/14)</gadget>
<output>1/84 = around 0.011905</output>
<gadget... | B | 84 | A cistern is normally filled in 12 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in? | {
"A": "33",
"B": "84",
"C": "40",
"D": "99",
"E": "11"
} | inverse(subtract(divide(const_1, 12), divide(const_1, add(12, const_2)))) | add(n0,const_2)|divide(const_1,n0)|divide(const_1,#0)|subtract(#1,#2)|inverse(#3)| | "1 / 12 - 1 / x = 1 / 14 x = 84 answer : b" | physics |
math_qa__8xLdiiV3R5rY9msM | What least number should be subtracted from 13602 such that the remainder is divisible by 87 ? Choose one
A) 27 B) 29 C) 28 D) 30 E) 31 | <gadget id="calculator">13_602 % 87</gadget>
<output>30</output>
<result>D</result> | D | 30 | What least number should be subtracted from 13602 such that the remainder is divisible by 87 ? | {
"A": "27",
"B": "29",
"C": "28",
"D": "30",
"E": "31"
} | reminder(13602, 87) | reminder(n0,n1)| | "13602 ÷ 87 = 156 , remainder = 30 hence 30 is the least number which can be subtracted from 13602 such that the remainder is divisible by 87 answer is d" | general |
math_qa__tiAypo3luxWFmBOE | 45 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine? Pick one
A) 80 litres B) 90 litres C) 120 litres D) 170 litres E) ... | <gadget id="calculator">800 * 600</gadget>
<output>480_000</output>
<gadget id="calculator">45 / 480_000</gadget>
<output>3/32_000 = around 0.000094</output>
<gadget id="calculator">800 * (3/32_000)</gadget>
<output>3/40 = around 0.075</output>
<gadget id="calculator">1_200 * (3/40)</gadget>
<output>90</output>
<re... | B | 90 | 45 litres of diesel is required to travel 600 km using a 800 cc engine. If the volume of diesel required to cover a distance varies directly as the capacity of the engine, then how many litres of diesel is required to travel 800 km using 1200 cc engine? | {
"A": "80 litres",
"B": "90 litres",
"C": "120 litres",
"D": "170 litres",
"E": "none of these"
} | multiply(1200, multiply(800, divide(45, multiply(800, 600)))) | multiply(n1,n2)|divide(n0,#0)|multiply(n2,#1)|multiply(n4,#2)| | "explanatory answer to cover a distance of 800 kms using a 800 cc engine , the amount of diesel required = 800 / 600 * 45 = 60 litres . however , the vehicle uses a 1200 cc engine and the question states that the amount of diesel required varies directly as the engine capacity . i . e . , for instance , if the capacity... | physics |
math_qa__Ieb0iSFhZrVEXR4s | Christine and Siri have 21rs between them. Christine has 20rs more than Siri. How much does Christine have.
Select the correct option: A) 16.5 B) 17.5 C) 18.5 D) 19.5 E) 20.5 | <gadget id="calculator">21 - 20</gadget>
<output>1</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) + 20</gadget>
<output>41/2 = around 20.5</output>
<result>E</result> | E | 20.5 | Christine and Siri have 21rs between them. Christine has 20rs more than Siri. How much does Christine have. | {
"A": "16.5",
"B": "17.5",
"C": "18.5",
"D": "19.5",
"E": "20.5"
} | add(divide(subtract(21, 20), const_2), 20) | subtract(n0,n1)|divide(#0,const_2)|add(n1,#1) | let siri has x rs , then christine has 20 + x rs given x + ( 20 + x ) = 21 = > 2 x = 1 or x = 0.5 so christine and siri has 20.5 and 0.5 rs respectively . answer : e | general |
math_qa__0gBovcwuFRXoVAmi | The ratio between the length and the breadth of a rectangular park is 1 : 3. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 4 min, then the area of the park (in sq. m) is? Choose the correct choice from the following options.
A) 800 m B) 12000 m C) 36000 m D) 80000 m E) ... | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">10 * 6</gadget>
<output>60</output>
<gadget id="calculator">12 / 60</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 4</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) * 1_000</gadget>... | E | 30,000 | The ratio between the length and the breadth of a rectangular park is 1 : 3. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 4 min, then the area of the park (in sq. m) is? | {
"A": "800 m",
"B": "12000 m",
"C": "36000 m",
"D": "80000 m",
"E": "30000 m"
} | rectangle_area(divide(divide(multiply(multiply(divide(12, multiply(const_10, multiply(const_3, const_2))), 4), const_1000), add(1, 3)), const_2), multiply(divide(divide(multiply(multiply(divide(12, multiply(const_10, multiply(const_3, const_2))), 4), const_1000), add(1, 3)), const_2), 3)) | add(n0,n1)|multiply(const_2,const_3)|multiply(#1,const_10)|divide(n2,#2)|multiply(n3,#3)|multiply(#4,const_1000)|divide(#5,#0)|divide(#6,const_2)|multiply(n1,#7)|rectangle_area(#7,#8)| | "perimeter = distance covered in 4 min . = ( 12000 x 4 ) / 60 m = 800 m . let length = 1 x metres and breadth = 3 x metres . then , 2 ( 1 x + 3 x ) = 800 or x = 100 . length = 100 m and breadth = 300 m . area = ( 100 x 300 ) m 2 = 30000 m e" | physics |
math_qa__E6l3bEgGiE9Xu9QL | In 10 years, A will be twice as old as B was 10 years ago. If A is now 4 years older than B the present age of B is
Choose the correct answer:
A) 37
B) 38
C) 39
D) 34
E) 41 | <gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">20 + 10</gadget>
<output>30</output>
<gadget id="calculator">30 + 4</gadget>
<output>34</output>
<result>D</result> | D | 34 | In 10 years, A will be twice as old as B was 10 years ago. If A is now 4 years older than B the present age of B is | {
"A": "37",
"B": "38",
"C": "39",
"D": "34",
"E": "41"
} | add(add(multiply(const_2, 10), 10), 4) | multiply(n0,const_2)|add(n0,#0)|add(n2,#1) | let present age of a be a and b be b a + 10 = 2 * ( b - 10 ) = > 2 b - a = 30 . . . . . . ( i ) a = b + 4 = > 2 b - b - 4 = 30 b = 34 so the present age of b is 34 years answer : d | general |
math_qa__W8e4iupd0OqFaBGG | The cost of 10 kg of mangos is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is $23. Find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour?
Options
A) 347.4 B) 984.4 C) 877.4 D) 637.4 E) 667.4 | <gadget id="calculator">24 / 10</gadget>
<output>12/5 = around 2.4</output>
<gadget id="calculator">23 * 6</gadget>
<output>138</output>
<gadget id="calculator">138 / 2</gadget>
<output>69</output>
<gadget id="calculator">(12/5) * 69</gadget>
<output>828/5 = around 165.6</output>
<gadget id="calculator">4 * (828/5)... | B | 984.4 | The cost of 10 kg of mangos is equal to the cost of 24 kg of rice. The cost of 6 kg of flour equals the cost of 2 kg of rice. The cost of each kg of flour is $23. Find the total cost of 4 kg of mangos, 3 kg of rice and 5 kg of flour? | {
"A": "347.4",
"B": "984.4",
"C": "877.4",
"D": "637.4",
"E": "667.4"
} | add(add(multiply(4, multiply(divide(24, 10), divide(multiply(23, 6), 2))), multiply(3, divide(multiply(23, 6), 2))), multiply(5, 23)) | divide(n1,n0)|multiply(n2,n4)|multiply(n4,n7)|divide(#1,n3)|multiply(#0,#3)|multiply(n6,#3)|multiply(n5,#4)|add(#6,#5)|add(#7,#2) | let the costs of each kg of mangos and each kg of rice be $ a and $ r respectively . 10 a = 24 r and 6 * 23 = 2 r a = 12 / 5 r and r = 69 a = 165.6 required total cost = 4 * 165.6 + 3 * 69 + 5 * 23 = 662.4 + 207 + 115 = $ 984.40 b | general |
math_qa__MD9TQKV1bWMZPPxr | If x is equal to the sum of the integers from 50 to 60, inclusive, and y is the number of EVEN integers from 50 to 60, inclusive, what is the value of x+y ? Choose the correct answer:
A) 171
B) 281
C) 391
D) 491
E) 611 | <gadget id="calculator">50 + 60</gadget>
<output>110</output>
<gadget id="calculator">110 / 2</gadget>
<output>55</output>
<gadget id="calculator">60 - 50</gadget>
<output>10</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<gadget id="calculator">55 * 11</gadget>
<output>605</output>
<gadget i... | E | 611 | If x is equal to the sum of the integers from 50 to 60, inclusive, and y is the number of EVEN integers from 50 to 60, inclusive, what is the value of x+y ? | {
"A": "171",
"B": "281",
"C": "391",
"D": "491",
"E": "611"
} | add(multiply(divide(add(50, 60), const_2), add(subtract(60, 50), const_1)), add(divide(subtract(60, 50), const_2), const_1)) | add(n0,n1)|subtract(n1,n0)|add(#1,const_1)|divide(#1,const_2)|divide(#0,const_2)|add(#3,const_1)|multiply(#2,#4)|add(#5,#6)| | "sum s = n / 2 { 2 a + ( n - 1 ) d } = 11 / 2 { 2 * 50 + ( 11 - 1 ) * 1 } = 11 * 55 = 605 = x number of even number = ( 60 - 50 ) / 2 + 1 = 6 = y x + y = 605 + 6 = 611 e" | general |
math_qa__19JKIidy7uRUXw3v | A number x is 7 times another number y. The percentage that y is less than x is Options: A) 12.5 % B) 85.7 % C) 80 % D) 11 % E) 1 % | <gadget id="calculator">7 - 1</gadget>
<output>6</output>
<gadget id="calculator">6 / 7</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">(6/7) * 100</gadget>
<output>600/7 = around 85.714286</output>
<result>B</result> | B | 85.7 | A number x is 7 times another number y. The percentage that y is less than x is | {
"A": "12.5 %",
"B": "85.7 %",
"C": "80 %",
"D": "11 %",
"E": "1 %"
} | multiply(divide(subtract(7, const_1), 7), const_100) | subtract(n0,const_1)|divide(#0,n0)|multiply(#1,const_100)| | "say y = 1 and x = 7 . then y = 1 is less than x = 7 by ( 7 - 1 ) / 7 * 100 = 6 / 7 * 100 = 85.7 % . answer : b ." | general |
math_qa__4Ak6Qfn92rOU7k47 | An alloy weighing 48 ounces is 25% gold. How many ounces of pure gold must be added to create an alloy that is 40% gold? Pick:
A) 15 B) 20 C) 12 D) 14 E) 7 | <gadget id="calculator">40 - 25</gadget>
<output>15</output>
<gadget id="calculator">48 * 15</gadget>
<output>720</output>
<gadget id="calculator">720 / 12</gadget>
<output>60</output>
<gadget id="calculator">60 - 48</gadget>
<output>12</output>
<result>C</result> | C | 12 | An alloy weighing 48 ounces is 25% gold. How many ounces of pure gold must be added to create an alloy that is 40% gold? | {
"A": "15",
"B": "20",
"C": "12",
"D": "14",
"E": "7"
} | subtract(divide(multiply(48, subtract(40, 25)), const_12), 48) | subtract(n2,n1)|multiply(n0,#0)|divide(#1,const_12)|subtract(#2,n0) | an alloy of 48 oz which is 25 % gold means there is 12 oz of gold . to get to an alloy that is 40 % gold , let ' s use this expression : ( 12 + x ) / ( 48 + x ) = 0.40 with x representing the amount of pure gold that must be added to get to 40 % . the expression we are using represents the new total weight of pure gold... | gain |
math_qa__cryx2OYad2n1yaFw | A certain sum is invested at simple interest at 15% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 420. Find the sum? Choose the correct choice from the following choices.
A) s . 5000 B) s . 7000 C) s . 14000 D) s . 17000 E) s . 27000 | <gadget id="calculator">15 - 12</gadget>
<output>3</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">6 / 100</gadget>
<output>3/50 = around 0.06</output>
<gadget id="calculator">420 / (3/50)</gadget>
<output>7_000</output>
<result>B</result> | B | 7,000 | A certain sum is invested at simple interest at 15% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 420. Find the sum? | {
"A": "s . 5000",
"B": "s . 7000",
"C": "s . 14000",
"D": "s . 17000",
"E": "s . 27000"
} | divide(420, divide(multiply(subtract(15, 12), const_2), const_100)) | subtract(n0,n1)|multiply(#0,const_2)|divide(#1,const_100)|divide(n2,#2)| | "let the sum be rs . x . ( x * 15 * 2 ) / 100 - ( x * 12 * 2 ) / 100 = 420 = > 30 x / 100 - 24 x / 100 = 420 = > 6 x / 100 = 420 = > x = 7000 . answer : b" | gain |
math_qa__ss7n93x6OO6xtZrW | if the average ( arithmetic mean ) of 7 consecutive integers is 20 , then the product of the greatest and least integer is Choose the correct choice: A) 343 B) 393 C) 363 D) 391 E) 409 | <gadget id="calculator">7 * 20</gadget>
<output>140</output>
<gadget id="calculator">3 * 7</gadget>
<output>21</output>
<gadget id="calculator">140 - 21</gadget>
<output>119</output>
<gadget id="calculator">119 / 7</gadget>
<output>17</output>
<gadget id="calculator">7 - 1</gadget>
<output>6</output>
<gadget id="c... | D | 391 | if the average ( arithmetic mean ) of 7 consecutive integers is 20 , then the product of the greatest and least integer is | {
"A": "343",
"B": "393",
"C": "363",
"D": "391",
"E": "409"
} | multiply(divide(subtract(multiply(7, 20), multiply(const_3, 7)), 7), add(subtract(7, const_1), divide(subtract(multiply(7, 20), multiply(const_3, 7)), 7))) | multiply(n0,n1)|multiply(n0,const_3)|subtract(n0,const_1)|subtract(#0,#1)|divide(#3,n0)|add(#4,#2)|multiply(#5,#4) | n = smallest number n + 6 = largest number ( n + n + 6 ) / 2 = 20 = > ( 2 n + 6 ) / 2 = 20 = > n + 3 = 20 = > n = 17 so product of n and n + 6 = ( 17 ) ( 23 ) = 391 answer - d | general |
math_qa__4eGmhUwsw8KCtonq | A train ,120 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is
Choose the correct option
A) 270 m B) 255 m C) 235 m D) 220 m E) 240 m | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">45 * (5/18)</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) * 30</gadget>
<output>375</output>
<gadget id="calculator">375 - 120</gadget>
<output>255</output>
<result>B</result> | B | 255 | A train ,120 meters long travels at a speed of 45 km/hr crosses a bridge in 30 seconds. The length of the bridge is | {
"A": "270 m",
"B": "255 m",
"C": "235 m",
"D": "220 m",
"E": "240 m"
} | subtract(multiply(multiply(45, const_0_2778), 30), 120) | multiply(n1,const_0_2778)|multiply(n2,#0)|subtract(#1,n0)| | "explanation : assume the length of the bridge = x meter total distance covered = 120 + x meter total time taken = 30 s speed = total distance covered / total time taken = ( 120 + x ) / 30 m / s = > 45 ã — ( 10 / 36 ) = ( 120 + x ) / 30 = > 45 ã — 10 ã — 30 / 36 = 120 + x = > 45 ã — 10 ã — 10 / 12 = 120 + x = > 15 ã — ... | physics |
math_qa__JzmBgwnseyiK1Z8P | The number 90 can be written as the sum of the squares of 4 different positive integers. What is the sum of these 4 integers? Choose the most appropriate option:
A) 17
B) 16
C) 15
D) 14
E) 13 | <gadget id="calculator">4 + 3</gadget>
<output>7</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">7 + 5</gadget>
<output>12</output>
<gadget id="calculator">12 + 4</gadget>
<output>16</output>
<result>B</result> | B | 16 | The number 90 can be written as the sum of the squares of 4 different positive integers. What is the sum of these 4 integers? | {
"A": "17",
"B": "16",
"C": "15",
"D": "14",
"E": "13"
} | add(add(add(const_4, const_3), add(const_3, const_2)), 4) | add(const_3,const_4)|add(const_2,const_3)|add(#0,#1)|add(n1,#2)| | "4 ^ 2 + 3 ^ 2 + 8 ^ 2 + 1 ^ 2 = 90 - - > 1 + 3 + 8 + 4 = 16 . b" | geometry |
math_qa__NDlYW9lGmP8BWyo4 | A train with 120 wagons crosses John who is going in the same direction, in 36 seconds. It travels for half an hour from the time it starts overtaking the John ( he is riding on the horse) before it starts overtaking the Mike(who is also riding on his horse) coming from the opposite direction in 24 seconds. In how much... | <gadget id="calculator">36 + 24</gadget>
<output>60</output>
<gadget id="calculator">36 - 24</gadget>
<output>12</output>
<gadget id="calculator">60 / 12</gadget>
<output>5</output>
<gadget id="calculator">5 - 1</gadget>
<output>4</output>
<gadget id="calculator">10 * 3</gadget>
<output>30</output>
<gadget id="cal... | E | 3,576 | A train with 120 wagons crosses John who is going in the same direction, in 36 seconds. It travels for half an hour from the time it starts overtaking the John ( he is riding on the horse) before it starts overtaking the Mike(who is also riding on his horse) coming from the opposite direction in 24 seconds. In how much... | {
"A": "3576 s",
"B": "3589 s",
"C": "3596 s",
"D": "3598 s",
"E": "3576 s"
} | subtract(divide(multiply(subtract(divide(add(36, 24), subtract(36, 24)), const_1), multiply(multiply(const_10, const_3), const_60)), const_2), 24) | add(n1,n2)|multiply(const_10,const_3)|subtract(n1,n2)|divide(#0,#2)|multiply(#1,const_60)|subtract(#3,const_1)|multiply(#4,#5)|divide(#6,const_2)|subtract(#7,n2)| | "let the length of the train be l metres and speeds of the train arun and sriram be r , a and s respectively , then - - - - - - - - - - ( i ) and - - - - - - - - - ( ii ) from eq . ( i ) and ( ii ) 3 ( r - a ) = 2 ( r + k ) r = 3 a + 2 k in 30 minutes ( i . e 1800 seconds ) , the train covers 1800 r ( distance ) but th... | physics |
math_qa__v9QlA51MAljhigHe | Two trains 100 m and 60 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? Choose one.
A) 10.9 sec B) 5.76 sec C) 10.6 sec D) 10.8 sec E) 20.8 sec | <gadget id="calculator">100 + 60</gadget>
<output>160</output>
<gadget id="calculator">60 + 40</gadget>
<output>100</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">100 * (5/18)</gadget>
<output>250/9 = around 27.777778</output>
<gadget id="calculator... | B | 5.76 | Two trains 100 m and 60 m long run at the speed of 60 km/hr and 40 km/hr respectively in opposite directions on parallel tracks. The time which they take to cross each other is? | {
"A": "10.9 sec",
"B": "5.76 sec",
"C": "10.6 sec",
"D": "10.8 sec",
"E": "20.8 sec"
} | divide(add(100, 60), multiply(add(60, 40), const_0_2778)) | add(n0,n1)|add(n2,n3)|multiply(#1,const_0_2778)|divide(#0,#2)| | "relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 100 + 60 = 160 m . required time = 160 * 9 / 250 = 5.76 = 5.76 sec . answer : b" | physics |
math_qa__4983t18ojecSdQJT | The price of lunch for 15 people was $207.00, including a 15 percent gratuity for service. What was the average price per person, EXCLUDING the gratuity? Select the correct option: A) $ 11.73 B) $ 12.00 C) $ 13.80 D) $ 14.00 E) $ 15.87 | <gadget id="calculator">100 + 15</gadget>
<output>115</output>
<gadget id="calculator">207 / 115</gadget>
<output>9/5 = around 1.8</output>
<gadget id="calculator">(9/5) * 100</gadget>
<output>180</output>
<gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">180 * ... | B | 12 | The price of lunch for 15 people was $207.00, including a 15 percent gratuity for service. What was the average price per person, EXCLUDING the gratuity? | {
"A": "$ 11.73",
"B": "$ 12.00",
"C": "$ 13.80",
"D": "$ 14.00",
"E": "$ 15.87"
} | multiply(multiply(divide(207.00, add(const_100, 15)), const_100), divide(const_1, 15)) | add(n0,const_100)|divide(const_1,n0)|divide(n1,#0)|multiply(#2,const_100)|multiply(#1,#3)| | "if the amount spent excluding the gratuity was x , then x ( 1.15 ) = 207 = > x = 207 / 1.15 = 180 then the average price per person = 180 / 15 = 12 option ( b )" | general |
math_qa__e6Gf9hQWWr7hqFMR | Find the missing figures: 0.50% of ? = 0.12 Choose the most appropriate option: A) 16 B) 18 C) 20 D) 22 E) 24 | <gadget id="calculator">0.5 / 100</gadget>
<output>0.005</output>
<gadget id="calculator">0.12 / 0.005</gadget>
<output>24</output>
<result>E</result> | E | 24 | Find the missing figures: 0.50% of ? = 0.12 | {
"A": "16",
"B": "18",
"C": "20",
"D": "22",
"E": "24"
} | divide(0.12, divide(0.50, const_100)) | divide(n0,const_100)|divide(n1,#0)| | "let 0.50 % of x = 0.12 . then , 0.50 * x / 100 = 0.12 x = [ ( 0.12 * 100 ) / 0.50 ] = 24 . answer is e ." | gain |
math_qa__LLl4wwVuDe9tXYfo | Shipment ------No. of Defective Chips/shipment---Total Chips in shipment
S2 -------------- 5 ------------------------ ----------------------12000
S3 -------------- 6 ----------------------------------------------- 18000
S4 -------------- 4 ----------------------------------------------- 16000
A computer chip manufactur... | <gadget id="calculator">60_000 - 18_000</gadget>
<output>42_000</output>
<gadget id="calculator">42_000 - 16_000</gadget>
<output>26_000</output>
<gadget id="calculator">26_000 - 12_000</gadget>
<output>14_000</output>
<gadget id="calculator">16_000 - 14_000</gadget>
<output>2_000</output>
<gadget id="calculator">2... | B | 20 | Shipment ------No. of Defective Chips/shipment---Total Chips in shipment
S2 -------------- 5 ------------------------ ----------------------12000
S3 -------------- 6 ----------------------------------------------- 18000
S4 -------------- 4 ----------------------------------------------- 16000
A computer chip manufactur... | {
"A": "14",
"B": "20",
"C": "22",
"D": "24",
"E": "25"
} | divide(subtract(16000, subtract(subtract(subtract(60000, 18000), 16000), 12000)), const_100) | subtract(n13,n5)|subtract(#0,n8)|subtract(#1,n2)|subtract(n8,#2)|divide(#3,const_100) | i agree with your solution = 20 . but the question is : there are different combination to get 60000 chips . for example : 1 * s 3 + 2 * s 4 + 2 * s 2 . in this way , we ship 60000 chips with only 6 + 4 * 2 + 2 * 2 = 18 defective chips , better than the average of 20 . the question is to find the expected number q of d... | general |
math_qa__HrRtxNGBSKY1FBDP | The maximum number of students among them 640 pens and 520 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils? Choose the correct option
A) 40 B) 45 C) 50 D) 55 E) 60 | <gadget id="calculator">gcd(640, 520)</gadget>
<output>40</output>
<result>A</result> | A | 40 | The maximum number of students among them 640 pens and 520 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils? | {
"A": "40",
"B": "45",
"C": "50",
"D": "55",
"E": "60"
} | gcd(640, 520) | gcd(n0,n1)| | "number of pens = 640 number of pencils = 520 required number of students = h . c . f . of 640 and 520 = 40 answer is a" | general |
math_qa__vnRmQr4lzVrMoXBB | A certain airline's fleet consisted of 80 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the TYPE A planes and acquired 4 new type B plans. How many years did it take before the number of type A planes left in the airline's fleet was less than 50 percent of... | <gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">80 / 7</gadget>
<output>80/7 = around 11.428571</output>
<result>D</result> | D | 12 | A certain airline's fleet consisted of 80 type A planes at the beginning of 1980. At the end of each year, starting with 1980, the airline retired 3 of the TYPE A planes and acquired 4 new type B plans. How many years did it take before the number of type A planes left in the airline's fleet was less than 50 percent of... | {
"A": "9",
"B": "10",
"C": "11",
"D": "12",
"E": "13"
} | divide(80, add(3, 4)) | add(n3,n4)|divide(n0,#0)| | "let x be the number of years . 4 x > 80 - 3 x 7 x > 80 x > 11 + 3 / 7 the answer is d ." | gain |
math_qa__iMnHRb4VZ61OA8To | If the numbers 1 to 96 are written on 96 pieces of paper, (one on each) and one piece is picked at random, then What is the probability that the number drawn is neither prime nor composite?
Pick:
A) 1 / 50 B) 1 / 25 C) 1 / 96 D) 1 E) 2 | <gadget id="calculator">1 / 96</gadget>
<output>1/96 = around 0.010417</output>
<result>C</result> | C | 0.010417 | If the numbers 1 to 96 are written on 96 pieces of paper, (one on each) and one piece is picked at random, then What is the probability that the number drawn is neither prime nor composite? | {
"A": "1 / 50",
"B": "1 / 25",
"C": "1 / 96",
"D": "1",
"E": "2"
} | divide(1, 96) | divide(n0,n1) | there are 25 primes , 70 composite numbers from 1 to 96 . the number which is neither prime nor composite is 1 . therefore , required probability = 1 / 96 . answer : c | other |
math_qa__TzGEnt6hfomtzPTf | The length of the bridge, which a train 120 meters long and travelling at 45 km/hr can cross in 30 seconds, is: Choose one.
A) 239 B) 277 C) 255 D) 88 E) 232 | <gadget id="calculator">1_000 / 1</gadget>
<output>1_000</output>
<gadget id="calculator">45 * 1_000</gadget>
<output>45_000</output>
<gadget id="calculator">3_600 / 1</gadget>
<output>3_600</output>
<gadget id="calculator">45_000 / 3_600</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) *... | C | 255 | The length of the bridge, which a train 120 meters long and travelling at 45 km/hr can cross in 30 seconds, is: | {
"A": "239",
"B": "277",
"C": "255",
"D": "88",
"E": "232"
} | subtract(multiply(divide(multiply(45, speed(const_1000, const_1)), speed(const_3600, const_1)), 30), 120) | speed(const_1000,const_1)|speed(const_3600,const_1)|multiply(n1,#0)|divide(#2,#1)|multiply(n2,#3)|subtract(#4,n0)| | "speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 120 + x ) / 30 = 25 / 2 = = > 2 ( 120 + x ) = 750 = = > x = 255 m . answer : c" | physics |
math_qa__x8QSfveZE6VBG5MW | How many liters of water must be evaporated from 50 liters of a 1-percent sugar solution to get a 10-percent solution?
Pick one:
A) 35 B) 40 C) 42 D) 45 E) 48 | <gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 10</gadget>
<output>5</output>
<gadget id="calculator">50 - 5</gadget>
<output>45</output>
<result>D</result> | D | 45 | How many liters of water must be evaporated from 50 liters of a 1-percent sugar solution to get a 10-percent solution? | {
"A": "35",
"B": "40",
"C": "42",
"D": "45",
"E": "48"
} | subtract(50, multiply(divide(50, const_100), 10)) | divide(n0,const_100)|multiply(n2,#0)|subtract(n0,#1) | 1 % of a 50 liter solution is 0.5 l which is 10 % of the solution at the end . the solution at the end must be 5 l . we need to evaporate 45 liters . the answer is d . | gain |
math_qa__eKdOBTqD0MbeyCeY | Raman mixed 27 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?
Choose the correct choice from the following.
A) 129
B) 287
C) 190
D) 188
E) 112 | <gadget id="calculator">27 * 150</gadget>
<output>4_050</output>
<gadget id="calculator">36 * 125</gadget>
<output>4_500</output>
<gadget id="calculator">4_050 + 4_500</gadget>
<output>8_550</output>
<gadget id="calculator">36 + 27</gadget>
<output>63</output>
<gadget id="calculator">8_550 / 63</gadget>
<output>950... | C | 190 | Raman mixed 27 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction? | {
"A": "129",
"B": "287",
"C": "190",
"D": "188",
"E": "112"
} | add(divide(add(multiply(27, 150), multiply(36, 125)), add(36, 27)), multiply(divide(add(multiply(27, 150), multiply(36, 125)), add(36, 27)), divide(40, const_100))) | add(n0,n2)|divide(n4,const_100)|multiply(n0,n1)|multiply(n2,n3)|add(#2,#3)|divide(#4,#0)|multiply(#5,#1)|add(#5,#6)| | "explanation : cp per kg of mixture = [ 27 ( 150 ) + 36 ( 125 ) ] / ( 27 + 36 ) = rs . 135.71 sp = cp [ ( 100 + profit % ) / 100 ] = 135.71 * [ ( 100 + 40 ) / 100 ] = rs . 190 . answer : c" | gain |
math_qa__brWwrJHehMYSUfW2 | The average of 50 numbers id 56. If two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is : Pick one:
A) 22.35
B) 33.25
C) 22.25
D) 51.35
E) 56.25 | <gadget id="calculator">50 * 56</gadget>
<output>2_800</output>
<gadget id="calculator">45 + 55</gadget>
<output>100</output>
<gadget id="calculator">2_800 - 100</gadget>
<output>2_700</output>
<gadget id="calculator">50 - 2</gadget>
<output>48</output>
<gadget id="calculator">2_700 / 48</gadget>
<output>225/4 = ar... | E | 56.25 | The average of 50 numbers id 56. If two numbers, namely 45 and 55 are discarded, the average of the remaining numbers is : | {
"A": "22.35",
"B": "33.25",
"C": "22.25",
"D": "51.35",
"E": "56.25"
} | divide(subtract(multiply(50, 56), add(45, 55)), subtract(50, const_2)) | add(n2,n3)|multiply(n0,n1)|subtract(n0,const_2)|subtract(#1,#0)|divide(#3,#2) | explanation : total of 50 numbers = ( 50 × 56 ) = 2800 total of 48 numbers = ( 2800 - ( 45 + 55 ) ] = 2700 required average = 2700 / 48 = 56.25 answer : e | general |
math_qa__bFXpiydvl2dFoIn2 | Sum of the squares of 3 no. is 149 and the sum of their products taken two at a time is 70. Find the sum? Answers: A) 17 B) 19 C) 21 D) 13 E) 18 | <gadget id="calculator">70 * 2</gadget>
<output>140</output>
<gadget id="calculator">149 + 140</gadget>
<output>289</output>
<gadget id="calculator">289 ** (1/2)</gadget>
<output>17</output>
<result>A</result> | A | 17 | Sum of the squares of 3 no. is 149 and the sum of their products taken two at a time is 70. Find the sum? | {
"A": "17",
"B": "19",
"C": "21",
"D": "13",
"E": "18"
} | sqrt(add(149, multiply(70, const_2))) | multiply(n2,const_2)|add(n1,#0)|sqrt(#1)| | "( a + b + c ) 2 = a 2 + b 2 + c 2 + 2 ( ab + bc + ca ) = 149 + 2 * 70 a + b + c = â ˆ š 289 = 17 answer a" | general |
math_qa__kLrK3Z7RpJNpf96C | If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
5 * 7 * 9 = 68
Then find,
7 * 9 * 11 =? Choose the correct choice: A) 106 B) 49 C) 68 D) 38 E) 55 | <gadget id="calculator">9 * 11</gadget>
<output>99</output>
<gadget id="calculator">99 + 7</gadget>
<output>106</output>
<result>A</result> | A | 106 | If,
1 * 3 * 5 = 16
3 * 5 * 7 = 38
5 * 7 * 9 = 68
Then find,
7 * 9 * 11 =? | {
"A": "106",
"B": "49",
"C": "68",
"D": "38",
"E": "55"
} | add(multiply(9, 11), 7) | multiply(n10,n14)|add(n6,#0) | a 106 ( 11 * 9 ) + 7 = 106 | general |
math_qa__RIO6OPaBEGQQv527 | A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in? Answers
A) 25 days
B) 88 days
C) 21 days
D) 11 days
E) 13 days | <gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">7 * 3</gadget>
<output>21</output>
<gadget id="calculator">21 / 2</gadget>
<output>21/2 = around 10.5</output>
<gadget id="calculator">(21/2) * 2</gadget>
<output>21</output>
<result>C</result> | C | 21 | A is twice as good a workman as B and they took 7 days together to do the work B alone can do it in? | {
"A": "25 days",
"B": "88 days",
"C": "21 days",
"D": "11 days",
"E": "13 days"
} | multiply(divide(multiply(7, add(const_2, const_1)), const_2), const_2) | add(const_1,const_2)|multiply(n0,#0)|divide(#1,const_2)|multiply(#2,const_2)| | "wc = 2 : 1 2 x + x = 1 / 7 x = 1 / 21 = > 21 days answer : c" | physics |
math_qa__b7j4Zgu93C0Pf3fq | A side of beef lost 40 percent of its weight in processing. If the side of beef weighed 240 pounds after processing, how many pounds did it weigh before processing?
Select: A) 191 B) 400 C) 737 D) 840 E) 1,560 | <gadget id="calculator">240 * 100</gadget>
<output>24_000</output>
<gadget id="calculator">100 - 40</gadget>
<output>60</output>
<gadget id="calculator">24_000 / 60</gadget>
<output>400</output>
<result>B</result> | B | 400 | A side of beef lost 40 percent of its weight in processing. If the side of beef weighed 240 pounds after processing, how many pounds did it weigh before processing? | {
"A": "191",
"B": "400",
"C": "737",
"D": "840",
"E": "1,560"
} | divide(multiply(240, const_100), subtract(const_100, 40)) | multiply(n1,const_100)|subtract(const_100,n0)|divide(#0,#1)| | "let weight of side of beef before processing = x ( 60 / 100 ) * x = 240 = > x = ( 240 * 100 ) / 60 = 400 answer b" | gain |
math_qa__ozyMhN2weOSUurTi | 36 men can complete a piece of work in 18 days.In how days will 27 men can complete the work?
Select the correct option:
A) 18
B) 20
C) 17
D) 24
E) 21 | <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 days will 27 men can complete the work? | {
"A": "18",
"B": "20",
"C": "17",
"D": "24",
"E": "21"
} | divide(multiply(18, 36), 27) | multiply(n0,n1)|divide(#0,n2)| | "let the required number of days be x less men , more days ( indirect proportion ) 27 : 36 : : 18 : x 27 x = 36 * 18 x = ( 36 * 18 ) / 27 x = 24 days option is d" | physics |
math_qa__7xxNP6CDQsk3lW34 | Renu can do a piece of work in 8 days, but with the help of her friend Suma , she can do it in 3 days. In what time Suma can do it alone? Select the correct option:
A) 4.8
B) 1.2
C) 4.4
D) 4.6
E) 4.7 | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/3) - (1/8)</gadget>
<output>5/24 = around 0.208333</output>
<gadget id="calculator">1 / (5/24)</gadget>
<output>24/5 = around 4.8</output... | A | 4.8 | Renu can do a piece of work in 8 days, but with the help of her friend Suma , she can do it in 3 days. In what time Suma can do it alone? | {
"A": "4.8",
"B": "1.2",
"C": "4.4",
"D": "4.6",
"E": "4.7"
} | inverse(subtract(divide(const_1, 3), divide(const_1, 8))) | divide(const_1,n1)|divide(const_1,n0)|subtract(#0,#1)|inverse(#2)| | "renu â € ™ s one day â € ™ s work = 1 / 8 suma â € ™ s one day â € ™ s work = 1 / 3 - 1 / 8 = 5 / 24 suma can do it alone in 4.8 days . answer : a" | physics |
math_qa__l3nXoOWlOMLSwpoS | Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 36 kmph. For how many minutes does the bus stop per hour? Choose the correct choice from the following answers:
A) 20 min B) 8 min C) 9 min D) 10 min E) 11 min | <gadget id="calculator">54 - 36</gadget>
<output>18</output>
<gadget id="calculator">18 / 54</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">60 * (1/3)</gadget>
<output>20</output>
<result>A</result> | A | 20 | Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 36 kmph. For how many minutes does the bus stop per hour? | {
"A": "20 min",
"B": "8 min",
"C": "9 min",
"D": "10 min",
"E": "11 min"
} | multiply(const_60, divide(subtract(54, 36), 54)) | subtract(n0,n1)|divide(#0,n0)|multiply(#1,const_60)| | "due to stoppages , it covers 18 km less . time taken to cover 18 km = ( 18 / 54 ) x 60 = 20 min answer : a" | physics |
math_qa__Zr2tuHQZVvpMmQTV | A worker can load one truck in 6 hours. A second worker can load the same truck in 5 hours. If both workers load one truck simultaneously while maintaining their constant rates, approximately how long, in hours, will it take them to fill one truck? Select
A) 2.7 B) 2.9 C) 3.1 D) 3.3 E) 3.5 | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/6) + (1/5)</gadget>
<output>11/30 = around 0.366667</output>
<gadget id="calculator">1 / (11/30)</gadget>
<output>30/11 = around 2.727273</... | A | 2.7 | A worker can load one truck in 6 hours. A second worker can load the same truck in 5 hours. If both workers load one truck simultaneously while maintaining their constant rates, approximately how long, in hours, will it take them to fill one truck? | {
"A": "2.7",
"B": "2.9",
"C": "3.1",
"D": "3.3",
"E": "3.5"
} | inverse(add(divide(const_1, 6), divide(const_1, 5))) | divide(const_1,n0)|divide(const_1,n1)|add(#0,#1)|inverse(#2)| | "the workers fill the truck at a rate of 1 / 6 + 1 / 5 = 11 / 30 of the truck per hour . then the time to fill one truck is 30 / 11 which is about 2.7 hours . the answer is a ." | physics |
math_qa__q4jH7gR5igYfXRid | The speed of a train is 102 kmph. What is the distance covered by it in 30 minutes?
Answers.
A) 50 kmph B) 51 kmph C) 41 kmph D) 61 kmph E) 21 kmph | <gadget id="calculator">30 / 60</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 102</gadget>
<output>51</output>
<result>B</result> | B | 51 | The speed of a train is 102 kmph. What is the distance covered by it in 30 minutes? | {
"A": "50 kmph",
"B": "51 kmph",
"C": "41 kmph",
"D": "61 kmph",
"E": "21 kmph"
} | multiply(divide(30, const_60), 102) | divide(n1,const_60)|multiply(n0,#0)| | "102 * 30 / 60 = 51 kmph answer : b" | physics |
math_qa__sDqd6oL2FoCH64mj | A rectangular of certain dimensions is chopped off from one corner of a larger rectangle as shown. AB = 8 cm and BC = 4 cm. The perimeter of the figure ABCPQRA (in cm) is :
Choose the correct choice from the following options:
A) 24
B) 28
C) 36
D) 48
E) none of these | <gadget id="calculator">8 + 4</gadget>
<output>12</output>
<gadget id="calculator">12 * 2</gadget>
<output>24</output>
<result>A</result> | A | 24 | A rectangular of certain dimensions is chopped off from one corner of a larger rectangle as shown. AB = 8 cm and BC = 4 cm. The perimeter of the figure ABCPQRA (in cm) is : | {
"A": "24",
"B": "28",
"C": "36",
"D": "48",
"E": "none of these"
} | multiply(add(8, 4), const_2) | add(n0,n1)|multiply(#0,const_2) | solution required perimeter = ( ab + bc + cp + pq + qr + ra ) = ab + bc + ( cp + qr ) + ( pq + ra ) = ab + bc + ab + bc = 2 ( ab + bc ) = [ 2 ( 8 + 4 ) ] cm = 24 cm . answer a | geometry |
math_qa__NEi6Qm1W9vm6sPEL | 20 machines can do a work in 10days. How many machines are needed to complete the work in 40days? Choose the correct choice from the following choices:
A) 10 B) 6 C) 4 D) 7 E) 5 | <gadget id="calculator">20 * 10</gadget>
<output>200</output>
<gadget id="calculator">200 / 40</gadget>
<output>5</output>
<result>E</result> | E | 5 | 20 machines can do a work in 10days. How many machines are needed to complete the work in 40days? | {
"A": "10",
"B": "6",
"C": "4",
"D": "7",
"E": "5"
} | divide(multiply(20, 10), 40) | multiply(n0,n1)|divide(#0,n2)| | "required number of machines = 20 * 10 / 40 = 5 answer is e" | physics |
math_qa__DVjr1whMpXnbtkpR | If a 10 percent deposit that has been paid toward the purchase of a certain product is $110, how much more remains to be paid? Choose the correct option
A) $ 880 B) $ 990 C) $ 1,000 D) $ 1,100 E) $ 1,210 | <gadget id="calculator">100 / 10</gadget>
<output>10</output>
<gadget id="calculator">110 * 10</gadget>
<output>1_100</output>
<gadget id="calculator">1_100 - 110</gadget>
<output>990</output>
<result>B</result> | B | 990 | If a 10 percent deposit that has been paid toward the purchase of a certain product is $110, how much more remains to be paid? | {
"A": "$ 880",
"B": "$ 990",
"C": "$ 1,000",
"D": "$ 1,100",
"E": "$ 1,210"
} | subtract(multiply(110, divide(const_100, 10)), 110) | divide(const_100,n0)|multiply(n1,#0)|subtract(#1,n1)| | "10 / 100 p = 110 > > p = 110 * 100 / 10 = 1100 1100 - 110 = 990 answer : b" | general |
math_qa__Y0R59ycqzgRJpy0o | In a trapezium ABCD, AB is parallel to DC, AB = 3*DC, and the diagonals of the trapezium intersect at O. The ratio of the area of ∆OCD to the area of ∆OAB is: Choose the correct choice from the following choices:
A) 1 : 9
B) 1 : 3
C) 3 : 1
D) 1 : 10
E) can not be determined | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * (1/3)</gadget>
<output>1/9 = around 0.111111</output>
<result>A</result> | A | 0.111111 | In a trapezium ABCD, AB is parallel to DC, AB = 3*DC, and the diagonals of the trapezium intersect at O. The ratio of the area of ∆OCD to the area of ∆OAB is: | {
"A": "1 : 9",
"B": "1 : 3",
"C": "3 : 1",
"D": "1 : 10",
"E": "can not be determined"
} | multiply(divide(const_1, 3), divide(const_1, 3)) | divide(const_1,n0)|multiply(#0,#0) | triangles are similar , so ratio will be 1 : 9 a | geometry |
math_qa__pRoORVa9n3JHC2xz | When 1/10 percent of 6,000 is subtracted from 1/10 of 6,000, the difference is Choose the correct choice: A) 0 B) 50 C) 450 D) 495 E) 694 | <gadget id="calculator">3 + 4</gadget>
<output>7</output>
<gadget id="calculator">7 * 1_000</gadget>
<output>7_000</output>
<gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">7_000 * (1/10)</gadget>
<output>700</output>
<gadget id="calculator">(1/10) / 100</gadget>
<o... | E | 694 | When 1/10 percent of 6,000 is subtracted from 1/10 of 6,000, the difference is | {
"A": "0",
"B": "50",
"C": "450",
"D": "495",
"E": "694"
} | subtract(multiply(multiply(add(const_3, const_4), const_1000), divide(1, 10)), multiply(divide(divide(1, 10), const_100), multiply(add(const_3, const_4), const_1000))) | add(const_3,const_4)|divide(n0,n1)|divide(#1,const_100)|multiply(#0,const_1000)|multiply(#1,#3)|multiply(#2,#3)|subtract(#4,#5)| | "we can break this problem into two parts : 1 ) what is 1 / 10 percent of 6,000 ? 2 ) what is 1 / 10 of 6,000 ? to calculate 1 / 10 percent of 6,000 we must first remember to divide 1 / 10 by 100 . so we have : ( 1 / 10 ) / ( 100 ) to divide a number by 100 means to multiply it by 1 / 100 , so we have : 1 / 10 x 1 / 10... | general |
math_qa__500GKksfHo4gng2Y | If there are 200 questions in a 3 hr examination. Among these questions are 10 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? Choose the correct choice from the following answers
A) 17.14286 min B) 62 min C) 70.... | <gadget id="calculator">3 * 60</gadget>
<output>180</output>
<gadget id="calculator">200 - 10</gadget>
<output>190</output>
<gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">190 + 20</gadget>
<output>210</output>
<gadget id="calculator">180 / 210</gadget>
<output>6/7 = around 0.857... | A | 17.14286 | If there are 200 questions in a 3 hr examination. Among these questions are 10 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": "17.14286 min",
"B": "62 min",
"C": "70.1346 min",
"D": "74 min",
"E": "76.1346 min"
} | multiply(multiply(const_2, divide(multiply(3, const_60), add(subtract(200, 10), multiply(const_2, 10)))), 10) | 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 190 x + 10 * 2 x = 180 x = 180 / 210 x = 0.72 time taken for type a problem = 10 * 2 * 0.857143 = 17.14286 min answer : a | general |
math_qa__4bKpxucbi6zqy61K | Working individually, Jane can bake cakes for 4 hours and Roy can bake cakes in 5 hours. If Jane and Roy work together but independently at the task for 2 hours, at which point Roy leaves, how many remaining hours will it take Jane to complete the task alone? Choose the correct choice: A) 1 / 2 B) 2 / 5 C) 3 / 4 D) 1 /... | <gadget id="calculator">4 / 10</gadget>
<output>2/5 = around 0.4</output>
<result>B</result> | B | 0.4 | Working individually, Jane can bake cakes for 4 hours and Roy can bake cakes in 5 hours. If Jane and Roy work together but independently at the task for 2 hours, at which point Roy leaves, how many remaining hours will it take Jane to complete the task alone? | {
"A": "1 / 2",
"B": "2 / 5",
"C": "3 / 4",
"D": "1 / 4",
"E": "1 / 5"
} | divide(4, const_10) | divide(n0,const_10) | in first 2 hrs roy will finish 2 / 5 = 2 / 5 of work and jane will finish 2 / 4 work so total 2 / 5 + 1 / 2 = 9 / 10 work is finished and 1 - 9 / 10 = 1 / 10 work remaining . now jane will take ( 1 / 10 ) * 4 = 2 / 5 hrs to finish it . so answer is b . | physics |
math_qa__j7Jj8Zqv4C4kjfcN | the arithmetic mean of set x is zero . if y = { - 2.22 ; - 1.96 ; - 1.68 ; 1.62 ; 1.94 ; 2.16 } is the subset of x consisting of all those elements in x which are more than two but less than 3 standard deviations away from the arithmetic mean of x , what could be equal to the standard deviation of x ? Options:
A) 0.54
... | <gadget id="calculator">2.22 / 3</gadget>
<output>0.74</output>
<result>B</result> | B | 0.77 | the arithmetic mean of set x is zero . if y = { - 2.22 ; - 1.96 ; - 1.68 ; 1.62 ; 1.94 ; 2.16 } is the subset of x consisting of all those elements in x which are more than two but less than 3 standard deviations away from the arithmetic mean of x , what could be equal to the standard deviation of x ? | {
"A": "0.54",
"B": "0.77",
"C": "0.82",
"D": "0.97",
"E": "1.62"
} | divide(2.22, const_3) | divide(n0,const_3) | this is a fairly straightforward question that can be solved quickly by just applying the options we are provided with mean , m = 0 and y = { - 2.22 ; - 1.96 ; - 1.68 ; 1.62 ; 1.94 ; 2.16 } is the subset of s y consists of all those elements in x that are more than 2 but less than 3 xds away from the arithmetic mean of... | general |
math_qa__OEfoxPmQyFSS3583 | Carrie likes to buy t-shirts at the local clothing store. They cost $9.95 each. One day, she bought 25 t-shirts. How much money did she spend? Select the correct option
A) $ 150 B) $ 248.75 C) $ 200 D) $ 171.6 E) $ 190 | <gadget id="calculator">25 * 9.95</gadget>
<output>248.75</output>
<gadget id="calculator">floor(248.75)</gadget>
<output>248</output>
<result>B</result> | B | 248.75 | Carrie likes to buy t-shirts at the local clothing store. They cost $9.95 each. One day, she bought 25 t-shirts. How much money did she spend? | {
"A": "$ 150",
"B": "$ 248.75",
"C": "$ 200",
"D": "$ 171.6",
"E": "$ 190"
} | floor(multiply(25, 9.95)) | multiply(n0,n1)|floor(#0)| | $ 9.95 * 25 = $ 248.75 . answer is b . | general |
math_qa__HjpbAbyDGtBguMLL | A line has a slope of 3/4 and intersects the point T (-12, -39). At which point does this line intersect the x-axis? Pick
A) ( 40,0 ) B) ( 30,0 ) C) ( 0,40 ) D) ( 40,30 ) E) ( 0,30 ) | <gadget id="calculator">-39</gadget>
<output>-39</output>
<gadget id="calculator">-12</gadget>
<output>-12</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(-12) * (3/4)</gadget>
<output>-9</output>
<gadget id="calculator">(-39) - (-9)</gadget>
<output>-30</... | A | 400 | A line has a slope of 3/4 and intersects the point T (-12, -39). At which point does this line intersect the x-axis? | {
"A": "( 40,0 )",
"B": "( 30,0 )",
"C": "( 0,40 )",
"D": "( 40,30 )",
"E": "( 0,30 )"
} | multiply(negate(divide(subtract(negate(39), multiply(negate(12), divide(3, 4))), divide(3, 4))), const_10) | divide(n0,n1)|negate(n3)|negate(n2)|multiply(#0,#2)|subtract(#1,#3)|divide(#4,#0)|negate(#5)|multiply(#6,const_10)| | "assume that the equation of the line is y = mx + c , where m and c are the slope and y - intercept . you are also given that the line crosses the point ( - 12 , - 39 ) , this means that this point will also lie on the line above . thus you get - 39 = m * ( - 12 ) + c , with m = 3 / 4 as the slope is given to be 3 / 4 ... | general |
math_qa__XPblwIYrPvFhMD4e | The owner of a furniture shop charges his customer 20% more than the cost price. If a customer paid Rs. 8337 for a computer table, then what was the cost price of the computer table? Choose the correct choice.
A) rs . 6725 B) rs . 6727 C) rs . 6908 D) rs . 6725 E) rs . 6947.5 | <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">8_337 / (6/5)</gadget>
<output>13_895/2 = around 6_947.5</output>
<result>E</result> | E | 6,947.5 | The owner of a furniture shop charges his customer 20% more than the cost price. If a customer paid Rs. 8337 for a computer table, then what was the cost price of the computer table? | {
"A": "rs . 6725",
"B": "rs . 6727",
"C": "rs . 6908",
"D": "rs . 6725",
"E": "rs . 6947.5"
} | divide(8337, add(const_1, divide(20, const_100))) | divide(n0,const_100)|add(#0,const_1)|divide(n1,#1)| | "cp = sp * ( 100 / ( 100 + profit % ) ) = 8337 ( 100 / 120 ) = rs . 6947.5 answer : e" | gain |
math_qa__45mFlqbt9vpqZRNG | two drivers began their journey with the same amount of petrol in their cars at the same time . the only difference is that the first driver � s car could drive 4 hours in that amount of petrol and the second one could drive 5 hours . however , they only drove for some time and found that the amount of petrol that was ... | <gadget id="calculator">4 - 1</gadget>
<output>3</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 4</gadget>
<output>1</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<outpu... | A | 3.75 | two drivers began their journey with the same amount of petrol in their cars at the same time . the only difference is that the first driver � s car could drive 4 hours in that amount of petrol and the second one could drive 5 hours . however , they only drove for some time and found that the amount of petrol that was ... | {
"A": "3.75 hours",
"B": "5.45 hours",
"C": "7.10 hours",
"D": "4.75 hours",
"E": "3.33 hours"
} | divide(subtract(4, const_1), subtract(multiply(divide(const_1, 4), 4), divide(const_1, 5))) | divide(const_1,n0)|divide(const_1,n1)|subtract(n0,const_1)|multiply(n0,#0)|subtract(#3,#1)|divide(#2,#4) | a 3.75 hours while you can solve it as you like , a simple mathematical equation can be used to find out . let m be the amount of petrol initially . let n be the time for which they drove . according to the question , the amount of petrol used by first car in n hours = mn / 4 the amount of petrol used by second car in ... | physics |
math_qa__yopr38k49oBZ6Dav | Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 11 even numbers. His mother immediately worked out the answer. How much had he scored in Math? Options:
A) 80 B) 190 C) 132 D) 170 E) 60 | <gadget id="calculator">11 + 1</gadget>
<output>12</output>
<gadget id="calculator">12 * 11</gadget>
<output>132</output>
<result>C</result> | C | 132 | Tim came second in Math. When his mother asked him how much he had scored, he answered that he got the sum of the first 11 even numbers. His mother immediately worked out the answer. How much had he scored in Math? | {
"A": "80",
"B": "190",
"C": "132",
"D": "170",
"E": "60"
} | multiply(add(11, const_1), 11) | add(n0,const_1)|multiply(n0,#0)| | "c 132 sum = ( n x n ) + n hence , 11 x 11 = 121 + 11 = 132" | physics |
math_qa__IkJYF38qudM95Vx4 | Find out the C.I on Rs.9000 at 4% p.a. compound half-yearly for 1 1/2 years Choose the correct option
A) 550.87
B) 506.07
C) 506.04
D) 506.03
E) 306.01 | <gadget id="calculator">4 / 100</gadget>
<output>1/25 = around 0.04</output>
<gadget id="calculator">1 + (1/25)</gadget>
<output>26/25 = around 1.04</output>
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(26/25) ** (3/2)</gadget>
<output>26*sqrt(26)/125 = around 1.0... | A | 550.87 | Find out the C.I on Rs.9000 at 4% p.a. compound half-yearly for 1 1/2 years | {
"A": "550.87",
"B": "506.07",
"C": "506.04",
"D": "506.03",
"E": "306.01"
} | subtract(multiply(9000, power(add(1, divide(4, const_100)), divide(const_3, 2))), 9000) | divide(n1,const_100)|divide(const_3,n4)|add(#0,n2)|power(#2,#1)|multiply(n0,#3)|subtract(#4,n0)| | "a = 9000 ( 51 / 50 ) 3 = 9550.87 9000 - - - - - - - - - - - 550.87 answer : a" | general |
math_qa__Iv1Gzmx5RQoQm7GQ | The length of rectangle is thrice its breadth and its perimeter is 56 m, find the area of the rectangle? Choose the correct choice from the following: A) 432 B) 212 C) 252 D) 992 E) 147 | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">1 * 2</gadget>
<output>2</output>
<gadget id="calculator">6 + 2</gadget>
<output>8</output>
<gadget id="calculator">56 / 8</gadget>
<output>7</output>
<gadget id="calculator">7 * 3</gadget>
<output>21</output>
<gadget id="calculator"... | E | 147 | The length of rectangle is thrice its breadth and its perimeter is 56 m, find the area of the rectangle? | {
"A": "432",
"B": "212",
"C": "252",
"D": "992",
"E": "147"
} | multiply(multiply(divide(56, add(multiply(const_3, const_2), multiply(const_1, const_2))), const_3), divide(56, add(multiply(const_3, const_2), multiply(const_1, const_2)))) | multiply(const_2,const_3)|multiply(const_1,const_2)|add(#0,#1)|divide(n0,#2)|multiply(#3,const_3)|multiply(#3,#4)| | "2 ( 3 x + x ) = 56 l = 21 b = 7 lb = 21 * 7 = 147 answer : e" | geometry |
math_qa__PcPgjp4uIr3MjxV7 | In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is Choose one
A) 3 hr . B) 5 hr . C) 2 hr . D) 7 hr . E) 1 hr . | <gadget id="calculator">200 * 30</gadget>
<output>6_000</output>
<gadget id="calculator">6_000 / 10</gadget>
<output>600</output>
<gadget id="calculator">600 / 600</gadget>
<output>1</output>
<result>E</result> | E | 1 | In a flight of 600 km, an aircraft was slowed down due to bad weather. Its average speed for the trip was reduced by 200 km/hr and the time of flight increased by 30 minutes. The duration of the flight is | {
"A": "3 hr .",
"B": "5 hr .",
"C": "2 hr .",
"D": "7 hr .",
"E": "1 hr ."
} | divide(600, divide(multiply(200, 30), const_10)) | multiply(n1,n2)|divide(#0,const_10)|divide(n0,#1)| | "e 1 hr . let the duration of the flight be x hours . then , 600 / x - 600 / 0.5 x = 200 - - > 600 / x - 1200 / ( 2 x + 1 ) = 200 - - > x ( 2 x + 1 ) = 3 - - > 2 x ^ 2 + x - 3 = 0 - - > ( 2 x + 3 ) ( x - 1 ) = 0 - - > x = 1 hr ." | general |
math_qa__lIxKbwjEqdKw0BFP | Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $2200 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years? Options:
A) $ 3,750 B) $ 19,800 C) $ 8,100 D) $ 15,000 E) $ 22,500 | <gadget id="calculator">112 / 8</gadget>
<output>14</output>
<gadget id="calculator">28 / 14</gadget>
<output>2</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">2_200 * 9</gadget>
<output>19_800</output>
<result>B</result> | B | 19,800 | Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $2200 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years? | {
"A": "$ 3,750",
"B": "$ 19,800",
"C": "$ 8,100",
"D": "$ 15,000",
"E": "$ 22,500"
} | multiply(2200, power(const_3, divide(28, divide(112, 8)))) | divide(n0,n2)|divide(n3,#0)|power(const_3,#1)|multiply(n1,#2)| | "x = 8 % 112 / x years = 112 / 8 = 14 years now , money triples every 14 years therefore , in 14 yrs , if $ 2200 triples to $ 6600 , in 28 years , it will again triple to $ 6600 * 3 = $ 19,800 answer b" | gain |
math_qa__cMQCayFCJVDIZvCO | A rocket soars for 12 seconds at 150 meters per second. It then plummets 600 meters in 3 seconds. What is the average speed of the rocket in meters per second? Choose the correct choice from the following choices.
A) 140 B) 150 C) 155 D) 160 E) 175 | <gadget id="calculator">12 * 150</gadget>
<output>1_800</output>
<gadget id="calculator">1_800 + 600</gadget>
<output>2_400</output>
<gadget id="calculator">12 + 3</gadget>
<output>15</output>
<gadget id="calculator">2_400 / 15</gadget>
<output>160</output>
<result>D</result> | D | 160 | A rocket soars for 12 seconds at 150 meters per second. It then plummets 600 meters in 3 seconds. What is the average speed of the rocket in meters per second? | {
"A": "140",
"B": "150",
"C": "155",
"D": "160",
"E": "175"
} | divide(add(multiply(12, 150), 600), add(12, 3)) | add(n0,n3)|multiply(n0,n1)|add(n2,#1)|divide(#2,#0) | when soaring , the rocket travels a total distance of 1800 m ( 150 m / s for 12 s ) while plummeting the rockets travel distance of 600 m in 3 s the total distance traveled is 2400 m ( 1800 + 600 ) the time taken to travel this distance is 15 s ( 12 + 3 ) average speed = 2400 / 15 = 160 ans : ( option d ) | physics |
math_qa__CKONKh5FtVSOvXf0 | 20 beavers, working together in a constant pace, can build a dam in 3 hours. How many hours X will it take 12 beavers that work at the same pace, to build the same dam? Select the correct option
A) 2 .
B) 4 .
C) x = 5 .
D) x = 6 .
E) 8 . | <gadget id="calculator">3 * 20</gadget>
<output>60</output>
<gadget id="calculator">60 / 12</gadget>
<output>5</output>
<result>C</result> | C | 5 | 20 beavers, working together in a constant pace, can build a dam in 3 hours. How many hours X will it take 12 beavers that work at the same pace, to build the same dam? | {
"A": "2 .",
"B": "4 .",
"C": "x = 5 .",
"D": "x = 6 .",
"E": "8 ."
} | divide(multiply(3, 20), 12) | multiply(n0,n1)|divide(#0,n2)| | "c . 5 hrs if there were 10 beavers it qould have taken double x = 6 hrs . . so closest to that option is 5 ." | physics |
math_qa__sePsYCu4oRSN7uFW | In a survey of 330 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured?
Choose the correct choice from the... | <gadget id="calculator">12.5 * 104</gadget>
<output>1_300</output>
<gadget id="calculator">1 * 100</gadget>
<output>100</output>
<gadget id="calculator">1_300 / 100</gadget>
<output>13</output>
<gadget id="calculator">54 - 13</gadget>
<output>41</output>
<gadget id="calculator">41 + 104</gadget>
<output>145</output... | A | 0.560606 | In a survey of 330 employees, 104 of them are uninsured, 54 work part time, and 12.5 percent of employees who are uninsured work part time. If a person is to be randomly selected from those surveyed, what is the probability that the person will neither work part time nor be uninsured? | {
"A": "37 / 66",
"B": "8 / 41",
"C": "9 / 348",
"D": "1 / 8",
"E": "41 / 91"
} | divide(subtract(330, add(subtract(54, divide(multiply(12.5, 104), multiply(const_1, const_100))), 104)), 330) | multiply(n1,n3)|multiply(const_1,const_100)|divide(#0,#1)|subtract(n2,#2)|add(n1,#3)|subtract(n0,#4)|divide(#5,n0)| | "- - - - - - - - - ui - - - - - - - - - - - - - - - - nui - - - - - - - total pt - - - - ( 12.5 / 100 ) * 104 = 13 - - - - - - - - - - - - - 54 npt - - - 104 - 13 - - - - - - - - - - - - - - x - - - - - - - - 276 total - - 104 - - - - - - - - - - - - - - - - - - - - - - - - - - - - 330 we have to find not part time and... | physics |
math_qa__tuP61xmSPVPAX3dO | A dishonest dealer professes to sell goods at the cost price but uses a weight of 896 grams per kg, what is his percent?
Choose the correct choice from the following:
A) 22 %
B) 25 %
C) 77 %
D) 99 %
E) 11.6 % | <gadget id="calculator">100 / 896</gadget>
<output>25/224 = around 0.111607</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<gadget id="calculator">100 * 10</gadget>
<output>1_000</output>
<gadget id="calculator">(25/224) * 1_000</gadget>... | E | 11.6 | A dishonest dealer professes to sell goods at the cost price but uses a weight of 896 grams per kg, what is his percent? | {
"A": "22 %",
"B": "25 %",
"C": "77 %",
"D": "99 %",
"E": "11.6 %"
} | subtract(multiply(divide(const_100, 896), multiply(const_100, multiply(add(const_3, const_2), const_2))), const_100) | add(const_2,const_3)|divide(const_100,n0)|multiply(#0,const_2)|multiply(#2,const_100)|multiply(#1,#3)|subtract(#4,const_100)| | "896 - - - 104 100 - - - ? = > 11.6 % answer : e" | gain |
math_qa__rz5uTv8WtdHujKaH | jack has two dice , one has 6 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , and the other has 7 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , 7 . if jack rolls both dice what is the probability that both of the numbers will be even ? Pick one:
A) 3 / 14 B) 2 / 7 C) 1 / 3 D) 1 / 2 E) 12 / 21 | <gadget id="calculator">7 * 2</gadget>
<output>14</output>
<gadget id="calculator">3 / 14</gadget>
<output>3/14 = around 0.214286</output>
<result>A</result> | A | 0.214286 | jack has two dice , one has 6 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , and the other has 7 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , 7 . if jack rolls both dice what is the probability that both of the numbers will be even ? | {
"A": "3 / 14",
"B": "2 / 7",
"C": "1 / 3",
"D": "1 / 2",
"E": "12 / 21"
} | divide(3, multiply(7, 2)) | multiply(n2,n7)|divide(n3,#0) | probability that the number on first die is even = 3 / 6 [ because 3 out of 6 faces are even ] probability that the number on second die is even = 3 / 7 [ because 3 out of 7 faces are even ] probability that both dice result in odd numbers = ( 3 / 6 ) * ( 3 / 7 ) = 3 / 14 answer : option a | other |
math_qa__R3zKVBpzdon9C3Ns | A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1.What is the percent R of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually? Select the correct option: A) 9 % B) 11 % C) 15 % D) 25 % E) 90 % | <gadget id="calculator">9 / 12</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) * 100</gadget>
<output>75</output>
<gadget id="calculator">100 - 75</gadget>
<output>25</output>
<result>D</result> | D | 25 | A case of 12 rolls of paper towels sells for $9. The cost of one roll sold individually is $1.What is the percent R of savings per roll for the 12-roll package over the cost of 12 rolls purchased individually? | {
"A": "9 %",
"B": "11 %",
"C": "15 %",
"D": "25 %",
"E": "90 %"
} | subtract(const_100, multiply(divide(9, 12), const_100)) | divide(n1,n0)|multiply(#0,const_100)|subtract(const_100,#1)| | "cost of 12 paper towels individually = 1 * 12 = 12 cost of a set of 12 paper towels = 9 cost of one roll = 9 / 12 = 3 / 4 = 0.75 savings per roll = 1 - . 75 = 0.25 % of savings is r = . 25 / 1 * 100 = 25 % d is the answer ." | general |
math_qa__Cvalc2kalZh4WRQF | A cistern is filled by pipe A in 10 hours and the full cistern can be leaked out by an exhaust pipe B in 12 hours. If both the pipes are opened, in what time the cistern is full?
Pick
A) 50 hrs
B) 60 hrs
C) 70 hrs
D) 80 hrs
E) 90 hrs | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/10) - (1/12)</gadget>
<output>1/60 = around 0.016667</output>
<gadget id="calculator">1 / (1/60)</gadget>
<output>60</output>
<result>... | B | 60 | A cistern is filled by pipe A in 10 hours and the full cistern can be leaked out by an exhaust pipe B in 12 hours. If both the pipes are opened, in what time the cistern is full? | {
"A": "50 hrs",
"B": "60 hrs",
"C": "70 hrs",
"D": "80 hrs",
"E": "90 hrs"
} | divide(const_1, subtract(divide(const_1, 10), divide(const_1, 12))) | divide(const_1,n0)|divide(const_1,n1)|subtract(#0,#1)|divide(const_1,#2)| | "time taken to full the cistern = ( 1 / 10 - 1 / 12 ) hrs = 1 / 60 = 60 hrs answer : b" | physics |
math_qa__U6PBmYU56paYUJNA | Here is 15 dots. If you select 3 dots randomly, what is the probability that 3 dots make a triangle? Choose the most appropriate option
A) 440 / 455 B) 412 / 455 C) 434 / 455 D) 449 / 455 E) 438 / 455 | <gadget id="calculator">binomial(5, 3)</gadget>
<output>10</output>
<gadget id="calculator">10 * 3</gadget>
<output>30</output>
<gadget id="calculator">binomial(3, 3)</gadget>
<output>1</output>
<gadget id="calculator">1 * 5</gadget>
<output>5</output>
<gadget id="calculator">30 + 5</gadget>
<output>35</output>
<g... | B | 0.905495 | Here is 15 dots. If you select 3 dots randomly, what is the probability that 3 dots make a triangle? | {
"A": "440 / 455",
"B": "412 / 455",
"C": "434 / 455",
"D": "449 / 455",
"E": "438 / 455"
} | negate_prob(divide(add(multiply(choose(const_5, 3), const_3), multiply(choose(const_3, 3), const_5)), choose(15, 3))) | choose(const_5,n1)|choose(const_3,n1)|choose(n0,n1)|multiply(#0,const_3)|multiply(#1,const_5)|add(#3,#4)|divide(#5,#2)|negate_prob(#6) | total ways of selecting 3 dots out of 15 is 15 c 3 = 455 if 3 dots are collinear then triangle may not be formed . now look at the above diagram . if we select any 3 dots from the red lines they may not form a triangle . they are 3 x 5 c 3 = 30 . if we select the three letters from blue lines , they may not form a tria... | geometry |
math_qa__EK9D47LZt1HVrcxQ | In a class of 20 students, 2 students did not borrow any books from the library, 8 students each borrowed 1 book, 3 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed? Pick
A... | <gadget id="calculator">20 * 2</gadget>
<output>40</output>
<gadget id="calculator">8 * 1</gadget>
<output>8</output>
<gadget id="calculator">8 + 3</gadget>
<output>11</output>
<gadget id="calculator">11 + 2</gadget>
<output>13</output>
<gadget id="calculator">20 - 13</gadget>
<output>7</output>
<gadget id="calcul... | A | 8 | In a class of 20 students, 2 students did not borrow any books from the library, 8 students each borrowed 1 book, 3 students each borrowed 2 books, and the rest borrowed at least 3 books. If the average number of books per student was 2, what is the maximum number of books any single student could have borrowed? | {
"A": "8",
"B": "9",
"C": "10",
"D": "11",
"E": "12"
} | subtract(multiply(20, 2), add(multiply(subtract(subtract(20, add(add(multiply(8, 1), 3), 2)), 1), 3), add(multiply(8, 1), multiply(3, 2)))) | multiply(n0,n1)|multiply(n2,n3)|multiply(n1,n4)|add(#1,#2)|add(n4,#1)|add(n1,#4)|subtract(n0,#5)|subtract(#6,n3)|multiply(n6,#7)|add(#3,#8)|subtract(#0,#9)| | "the total number of books the students borrowed is 20 * 2 = 40 . the students who borrowed zero , one , or two books borrowed 8 * 1 + 3 * 2 = 14 books . the 7 students who borrowed at least three books borrowed 40 - 14 = 26 books . if 6 of these students borrowed exactly 3 books , then the maximum that one student cou... | general |
math_qa__Ba2kiw08NY6aUxg5 | A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 30% longer than the smallest size, how long, in inches, is the shoe in size 15? Choo... | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">17 - 8</gadget>
<output>9</output>
<gadget id="calculator">(1/4) * 9</gadget>
<output>9/4 = around 2.25</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(9/4... | A | 9.25 | A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/4-inch increase in the length of the shoe. If the largest size of this shoe is 30% longer than the smallest size, how long, in inches, is the shoe in size 15? | {
"A": "9.25",
"B": "11.75",
"C": "13.25",
"D": "15.75",
"E": "17.25"
} | add(divide(multiply(divide(1, 4), subtract(17, 8)), divide(30, const_100)), multiply(subtract(15, 8), divide(1, 4))) | divide(n2,n3)|divide(n4,const_100)|subtract(n1,n0)|subtract(n5,n0)|multiply(#0,#2)|multiply(#0,#3)|divide(#4,#1)|add(#6,#5)| | "let x be the length of the size 8 shoe . then 0.3 x = 9 / 4 x = 90 / 12 = 15 / 2 inches the size 15 shoe has a length of 15 / 2 + 7 / 4 = 37 / 4 = 9.25 inches the answer is a ." | general |
math_qa__ZKTBIobcFJVjzX6z | A man spends 50% of his income on food, 15% on children education and 50% of the remaining on house rent. What percent of his income he is left with?
Choose the most appropriate option.
A) 17.5 % B) 16 % C) 15.4 % D) 12.6 % E) 13.5 % | <gadget id="calculator">100 - 50</gadget>
<output>50</output>
<gadget id="calculator">50 - 15</gadget>
<output>35</output>
<gadget id="calculator">35 * 50</gadget>
<output>1_750</output>
<gadget id="calculator">1_750 / 100</gadget>
<output>35/2 = around 17.5</output>
<result>A</result> | A | 17.5 | A man spends 50% of his income on food, 15% on children education and 50% of the remaining on house rent. What percent of his income he is left with? | {
"A": "17.5 %",
"B": "16 %",
"C": "15.4 %",
"D": "12.6 %",
"E": "13.5 %"
} | divide(multiply(subtract(subtract(const_100, 50), 15), subtract(const_100, 50)), const_100) | subtract(const_100,n0)|subtract(const_100,n2)|subtract(#0,n1)|multiply(#2,#1)|divide(#3,const_100)| | "let the total income be x then , income left = ( 100 - 50 ) % of x - [ 100 - ( 50 + 15 ) ] % of x = 50 % of 35 % of x = 17.5 % of x answer is a" | gain |
math_qa__7eUdaVbW2l6tstIy | A car covers a distance of 624 km in 3 hours. Find its speed? Choose the correct choice from the following: A) 104 B) 277 C) 298 D) 269 E) 208 | <gadget id="calculator">624 / 3</gadget>
<output>208</output>
<result>E</result> | E | 208 | A car covers a distance of 624 km in 3 hours. Find its speed? | {
"A": "104",
"B": "277",
"C": "298",
"D": "269",
"E": "208"
} | divide(624, 3) | divide(n0,n1) | 624 / 3 = 208 kmph answer : e | physics |
math_qa__RE2XH7I1XMmQihwJ | It was calculated that 50 men could complete a piece of work in 10 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work? Choose one: A) 20 days . B) 15 days . C) 22 days . D) 30 days . E) 18 days . | <gadget id="calculator">50 / 25</gadget>
<output>2</output>
<gadget id="calculator">10 * 2</gadget>
<output>20</output>
<result>A</result> | A | 20 | It was calculated that 50 men could complete a piece of work in 10 days. When work was scheduled to commence, it was found necessary to send 25 men to another project. How much longer will it take to complete the work? | {
"A": "20 days .",
"B": "15 days .",
"C": "22 days .",
"D": "30 days .",
"E": "18 days ."
} | multiply(10, divide(50, 25)) | divide(n0,n2)|multiply(n1,#0)| | "one day work = 1 / 10 one man ’ s one day work = 1 / ( 10 * 50 ) now : no . of workers = 25 one day work = 25 * 1 / ( 10 * 50 ) the total no . of days required to complete the work = ( 50 * 10 ) / 25 = 20 answer : a" | physics |
math_qa__60q7R3LrU8Rq7AfE | At a supermarket, the ratio of the number of shampoos to the number of soaps is 8 to 5, and the ratio of the number of drinks to the number of shampoos is 3 to 4. If the ratio of the soaps to the number of cereals is 9 to 2, what is the ratio of the number of drinks to the number of cereals?
Options: A) 4 : 3 B) 15 : 6... | <gadget id="calculator">8 + 3</gadget>
<output>11</output>
<gadget id="calculator">11 / 2</gadget>
<output>11/2 = around 5.5</output>
<result>E</result> | E | 5.4 | At a supermarket, the ratio of the number of shampoos to the number of soaps is 8 to 5, and the ratio of the number of drinks to the number of shampoos is 3 to 4. If the ratio of the soaps to the number of cereals is 9 to 2, what is the ratio of the number of drinks to the number of cereals? | {
"A": "4 : 3",
"B": "15 : 6",
"C": "45 : 16",
"D": "15 : 4",
"E": "27 : 5"
} | divide(add(8, 3), const_2) | add(n0,n2)|divide(#0,const_2) | sh : soaps = 8 : 5 drinks : sh = 3 : 4 = > 6 : 8 drinks : sh : soaps = 6 : 8 : 5 soaps : cer = 9 : 2 = > 9 * 5 : 2 * 5 = 45 : 10 now , drinks : sh : soaps = > 6 * 9 : 8 * 9 : 5 * 9 = 54 : 72 : 45 drinks : sh : soaps : cer = 54 : 72 : 45 : 10 drinks : cer = 54 : 10 = > 27 : 5 e | other |
math_qa__7JLD0eSt8xkI3hod | xy=1 then what is (5^(x+y)^2) / (5^(x-y)^2)
Choose the correct choice from the following choices
A) 2 B) 625 C) 8 D) 16 E) 32 | <gadget id="calculator">4 * 1</gadget>
<output>4</output>
<gadget id="calculator">5 ** 4</gadget>
<output>625</output>
<result>B</result> | B | 625 | xy=1 then what is (5^(x+y)^2) / (5^(x-y)^2) | {
"A": "2",
"B": "625",
"C": "8",
"D": "16",
"E": "32"
} | power(5, multiply(const_4, 1)) | multiply(n0,const_4)|power(n1,#0)| | "( x + y ) ^ 2 - ( x - y ) ^ 2 ( x + y + x - y ) ( x + y - x + y ) ( 2 x ) ( 2 y ) 4 xy 4 5 ^ 4 = 625 answer b" | general |
math_qa__U1u5Gq5FSVao1MfL | Gold is 10 times as heavy as water and copper is 5 times as heavy as water. In what ratio should these be mixed to get an alloy 8 times as heavy as water? Choices
A) 3 : 2 B) 1 : 2 C) 3 : 1 D) 5 : 2 E) 4 : 3 | <gadget id="calculator">8 - 5</gadget>
<output>3</output>
<gadget id="calculator">10 - 8</gadget>
<output>2</output>
<gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<result>A</result> | A | 1.5 | Gold is 10 times as heavy as water and copper is 5 times as heavy as water. In what ratio should these be mixed to get an alloy 8 times as heavy as water? | {
"A": "3 : 2",
"B": "1 : 2",
"C": "3 : 1",
"D": "5 : 2",
"E": "4 : 3"
} | divide(subtract(8, 5), subtract(10, 8)) | subtract(n2,n1)|subtract(n0,n2)|divide(#0,#1)| | "g = 10 w c = 5 w let 1 gm of gold mixed with x gm of copper to get 1 + x gm of the alloy 1 gm gold + x gm copper = x + 1 gm of alloy 10 w + 5 wx = x + 1 * 8 w 10 + 5 x = 8 ( x + 1 ) x = 2 / 3 ratio of gold with copper = 1 : 2 / 3 = 3 : 2 answer is a" | general |
math_qa__HuTucHaKymtNSxEv | The length of a rectangular floor is more than its breadth by 200%. If Rs.400 is required to paint the floor at the rate of Rs.3/sq m, what would be the length of the floor?
Options
A) 12
B) 18
C) 20
D) 22
E) 24 | <gadget id="calculator">400 / 3</gadget>
<output>400/3 = around 133.333333</output>
<gadget id="calculator">(400/3) / 3</gadget>
<output>400/9 = around 44.444444</output>
<gadget id="calculator">(400/9) ** (1/2)</gadget>
<output>20/3 = around 6.666667</output>
<gadget id="calculator">(20/3) * 3</gadget>
<output>20</... | C | 20 | The length of a rectangular floor is more than its breadth by 200%. If Rs.400 is required to paint the floor at the rate of Rs.3/sq m, what would be the length of the floor? | {
"A": "12",
"B": "18",
"C": "20",
"D": "22",
"E": "24"
} | multiply(sqrt(divide(divide(400, 3), const_3)), const_3) | divide(n1,n2)|divide(#0,const_3)|sqrt(#1)|multiply(#2,const_3)| | "let the length and the breadth of the floor be l m and b m respectively . l = b + 200 % of b = l + 2 b = 3 b area of the floor = 400 / 3 = 133.33 sq m l b = 133.33 i . e . , l * l / 3 = 133.33 l ^ 2 = 400 > l = 20 . c" | gain |
math_qa__lK00DpjVQuH0qWzS | A baker charges N dollars for a birthday cake. Next week, she intends to earn 320 dollars selling cakes. If she were to reduce the price of the cake by 20 percent, she would have to sell two more cakes to earn the same amount of revenue. How many cakes does she intend to sell next week? Choose the correct choice from ... | <gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">320 * (4/5)</gadget>
<output>256</output>
<gadget id="calculator">320 - 256</gadget>
<output>64</output>
<gadget id="calculator">(4/5) * 2</gadget>
<outpu... | D | 8 | A baker charges N dollars for a birthday cake. Next week, she intends to earn 320 dollars selling cakes. If she were to reduce the price of the cake by 20 percent, she would have to sell two more cakes to earn the same amount of revenue. How many cakes does she intend to sell next week? | {
"A": "2",
"B": "4",
"C": "6",
"D": "8",
"E": "10"
} | divide(320, divide(subtract(320, multiply(320, divide(subtract(const_100, 20), const_100))), multiply(divide(subtract(const_100, 20), const_100), const_2))) | subtract(const_100,n1)|divide(#0,const_100)|multiply(n0,#1)|multiply(#1,const_2)|subtract(n0,#2)|divide(#4,#3)|divide(n0,#5) | we ' re told that by selling cakes at n dollars / cake , a baker will make $ 320 . reducing the price by 20 % and selling 2 more cakes will also make her $ 320 . we ' re asked for the original number of cakes that the baker intends to sell . $ 320 is a rather interesting number . based on the answer choices , we ' re a... | general |
math_qa__zzonUin06CxVpiDt | A sum of money deposited at C.I. amounts to Rs.1820 in 4 years and to Rs.2402 in 5 years. Find the rate percent?
Choose the correct choice from the following.
A) 30 % B) 31 % C) 34 % D) 19 % E) 50 % | <gadget id="calculator">2_402 - 1_820</gadget>
<output>582</output>
<gadget id="calculator">582 / 1_820</gadget>
<output>291/910 = around 0.31978</output>
<gadget id="calculator">(291/910) * 100</gadget>
<output>2_910/91 = around 31.978022</output>
<result>B</result> | B | 31 | A sum of money deposited at C.I. amounts to Rs.1820 in 4 years and to Rs.2402 in 5 years. Find the rate percent? | {
"A": "30 %",
"B": "31 %",
"C": "34 %",
"D": "19 %",
"E": "50 %"
} | multiply(divide(subtract(2402, 1820), 1820), const_100) | subtract(n2,n0)|divide(#0,n0)|multiply(#1,const_100)| | "1820 - - - 582 100 - - - ? = > 31 % answer : b" | gain |
math_qa__DcqSYPSNCm21A1bv | An assembly line produces 30 cogs per hour until an initial order of 60 cogs is completed. The speed of the assembly line is then immediately increased so that it can produce 60 cogs per hour until another 60 cogs are produced. What is the overall average output, in cogs per hour, for the assembly line during this whol... | <gadget id="calculator">60 * 2</gadget>
<output>120</output>
<gadget id="calculator">60 / 30</gadget>
<output>2</output>
<gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">120 / 3</gadget>
<output>40</output>
<result>A</result> | A | 40 | An assembly line produces 30 cogs per hour until an initial order of 60 cogs is completed. The speed of the assembly line is then immediately increased so that it can produce 60 cogs per hour until another 60 cogs are produced. What is the overall average output, in cogs per hour, for the assembly line during this whol... | {
"A": "40",
"B": "44",
"C": "48",
"D": "52",
"E": "56"
} | divide(multiply(60, const_2), add(divide(60, 30), const_1)) | divide(n1,n0)|multiply(n1,const_2)|add(#0,const_1)|divide(#1,#2)| | "the time to produce the first 60 cogs is 60 / 30 = 2 hours . the time to produce the next 60 cogs is 60 / 60 = 1 hour . the average output is 120 cogs / 3 hours = 40 cogs per hour . the answer is a ." | general |
math_qa__aDAG25P2eCkf5uCg | If the cost price of 44 chocolates is equal to the selling price of 24 chocolates, the gain percent is : Choose the correct choice from the following choices.
A) 83.55 % B) 83.33 % C) 80 % D) 83.39 % E) 84.33 % | <gadget id="calculator">44 - 24</gadget>
<output>20</output>
<gadget id="calculator">24 / 20</gadget>
<output>6/5 = around 1.2</output>
<gadget id="calculator">100 / (6/5)</gadget>
<output>250/3 = around 83.333333</output>
<result>B</result> | B | 83.33 | If the cost price of 44 chocolates is equal to the selling price of 24 chocolates, the gain percent is : | {
"A": "83.55 %",
"B": "83.33 %",
"C": "80 %",
"D": "83.39 %",
"E": "84.33 %"
} | divide(const_100, divide(24, subtract(44, 24))) | subtract(n0,n1)|divide(n1,#0)|divide(const_100,#1) | explanation : solution : let c . p . of each chocolate be re . 1 . then , c . p . of 24 chocolates = rs . 24 ; s . p . of 24 chocolates = rs . 44 . . ' . gain % = 20 * 100 / 24 = 83.33 % answer : b | gain |
math_qa__5CSZ3b8NRqEUnFWM | 90 percent of your marbles are a solid color. 5 percent of your marbles are solid yellow. What percentage of your marbles are a solid color other than yellow? Choose one
A) 5 B) 15 C) 85 D) 90 E) 95 | <gadget id="calculator">90 - 5</gadget>
<output>85</output>
<result>C</result> | C | 85 | 90 percent of your marbles are a solid color. 5 percent of your marbles are solid yellow. What percentage of your marbles are a solid color other than yellow? | {
"A": "5",
"B": "15",
"C": "85",
"D": "90",
"E": "95"
} | subtract(90, 5) | subtract(n0,n1) | 90 percent are solid colors including solid yellow . 5 percent are solid yellow . 90 % - 5 % = 85 % , so 85 percent are a solid color other than yellow = > ( c ) | gain |
math_qa__wjUehNvTLABvYvTK | When m divided by 288, the remainder is 47. Find the remainder when the same m is divided by 24? Choose the correct option: A) 20 B) 21 C) 22 D) 23 E) 26 | <gadget id="calculator">47 % 24</gadget>
<output>23</output>
<result>D</result> | D | 23 | When m divided by 288, the remainder is 47. Find the remainder when the same m is divided by 24? | {
"A": "20",
"B": "21",
"C": "22",
"D": "23",
"E": "26"
} | reminder(47, 24) | reminder(n1,n2) | 23 option d | physics |
math_qa__hB6PR3mX4Sh3D3uT | The length of rectangle is thrice its breadth and its perimeter is 112 m, find the area of the rectangle? Options
A) 432 sq m B) 356 sq m C) 452 sq m D) 588 sq m E) 525 sq m | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">1 * 2</gadget>
<output>2</output>
<gadget id="calculator">6 + 2</gadget>
<output>8</output>
<gadget id="calculator">112 / 8</gadget>
<output>14</output>
<gadget id="calculator">14 * 3</gadget>
<output>42</output>
<gadget id="calculat... | D | 588 | The length of rectangle is thrice its breadth and its perimeter is 112 m, find the area of the rectangle? | {
"A": "432 sq m",
"B": "356 sq m",
"C": "452 sq m",
"D": "588 sq m",
"E": "525 sq m"
} | multiply(multiply(divide(112, add(multiply(const_3, const_2), multiply(const_1, const_2))), const_3), divide(112, add(multiply(const_3, const_2), multiply(const_1, const_2)))) | multiply(const_2,const_3)|multiply(const_1,const_2)|add(#0,#1)|divide(n0,#2)|multiply(#3,const_3)|multiply(#3,#4)| | "2 ( 3 x + x ) = 112 l = 42 b = 14 lb = 42 * 14 = 588 answer : d" | geometry |
math_qa__xphKVnBQgALPlDj1 | In measuring the sides of a rectangle, one side is taken 5% in excess and the other 4% in deficit. Find the error percent in the area, calculate from the those measurements.
Choose the correct choice from the following choices:
A) 0.9 %
B) 0.8 %
C) 0.3 %
D) 0.2 %
E) 0.5 % | <gadget id="calculator">5 - 4</gadget>
<output>1</output>
<gadget id="calculator">5 * 4</gadget>
<output>20</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<result>B</result> | B | 0.8 | In measuring the sides of a rectangle, one side is taken 5% in excess and the other 4% in deficit. Find the error percent in the area, calculate from the those measurements. | {
"A": "0.9 %",
"B": "0.8 %",
"C": "0.3 %",
"D": "0.2 %",
"E": "0.5 %"
} | subtract(subtract(5, 4), divide(multiply(5, 4), const_100)) | multiply(n0,n1)|subtract(n0,n1)|divide(#0,const_100)|subtract(#1,#2)| | "explanation : let x and y be the sides of the rectangle then correct area = = error % = answer : b ) 0.8 %" | geometry |
math_qa__YPsxEIALCv2h6GIh | If k is an integer and 0.00010101 x 10^k is greater than 1000, what is the least possible value of k? Choose the most appropriate option
A) 6 B) 7 C) 8 D) 9 E) 10 | <gadget id="calculator">1_000 / 0.000101</gadget>
<output>9_900_990.09901</output>
<gadget id="calculator">log(9_900_990.09901)</gadget>
<output>16.108145</output>
<gadget id="calculator">log(10)</gadget>
<output>log(10) = around 2.302585</output>
<gadget id="calculator">16.108145 / log(10)</gadget>
<output>16.10814... | B | 7 | If k is an integer and 0.00010101 x 10^k is greater than 1000, what is the least possible value of k? | {
"A": "6",
"B": "7",
"C": "8",
"D": "9",
"E": "10"
} | divide(log(divide(1000, 0.00010101)), log(10)) | divide(n2,n0)|log(n1)|log(#0)|divide(#2,#1)| | "0.00010101 * 10 ^ k > 1000 we need to move the decimal point to the right 7 places to get 1010.1 this is equivalent to multiplying by 10 ^ 7 . the answer is b ." | general |
math_qa__Dqw1LgIhjD8AtQ1m | The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is: Pick one: A) 30 kg B) 31 kg C) 37 kg D) 39 kg E) 41 kg | <gadget id="calculator">40 * 2</gadget>
<output>80</output>
<gadget id="calculator">43 * 2</gadget>
<output>86</output>
<gadget id="calculator">80 + 86</gadget>
<output>166</output>
<gadget id="calculator">45 * 3</gadget>
<output>135</output>
<gadget id="calculator">166 - 135</gadget>
<output>31</output>
<result>B... | B | 31 | The average weight of A, B and C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, then the weight of B is: | {
"A": "30 kg",
"B": "31 kg",
"C": "37 kg",
"D": "39 kg",
"E": "41 kg"
} | subtract(add(multiply(40, const_2), multiply(43, const_2)), multiply(45, const_3)) | multiply(n1,const_2)|multiply(n2,const_2)|multiply(n0,const_3)|add(#0,#1)|subtract(#3,#2)| | "let a , b , c represent their respective weights . then , we have : a + b + c = ( 45 x 3 ) = 135 . . . . ( i ) a + b = ( 40 x 2 ) = 80 . . . . ( ii ) b + c = ( 43 x 2 ) = 86 . . . . ( iii ) adding ( ii ) and ( iii ) , we get : a + 2 b + c = 166 . . . . ( iv ) subtracting ( i ) from ( iv ) , we get : b = 31 . b ' s wei... | general |
math_qa__EAZt1sVelkzjfcEN | A car is purchased on hire-purchase. The cash price is $22 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest is charged at 12% p.a. What is the monthly installment? Choose the correct choice from the following answers
A) $ 503 B) $ 504 C)... | <gadget id="calculator">22 * 1_000</gadget>
<output>22_000</output>
<gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 - (1/10)</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">22_000 * (9/10)</gadget>
<output>19_800</output>
<gadget id="calcula... | D | 528 | A car is purchased on hire-purchase. The cash price is $22 000 and the terms are a deposit of 10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest is charged at 12% p.a. What is the monthly installment? | {
"A": "$ 503",
"B": "$ 504",
"C": "$ 515",
"D": "$ 528",
"E": "$ 537"
} | add(divide(multiply(multiply(22, const_1000), subtract(const_1, divide(10, const_100))), 60), multiply(divide(divide(12, const_100), 12), multiply(multiply(22, const_1000), subtract(const_1, divide(10, const_100))))) | divide(n2,const_100)|divide(n4,const_100)|multiply(n0,const_1000)|divide(#1,n4)|subtract(const_1,#0)|multiply(#2,#4)|divide(#5,n3)|multiply(#3,#5)|add(#6,#7)| | "explanation : cash price = $ 22 000 deposit = 10 % ã — $ 22 000 = $ 2200 loan amount = $ 22000 â ˆ ’ $ 2200 number of payments = 60 = $ 19800 i = p * r * t / 100 i = 11880 total amount = 19800 + 11880 = $ 31680 regular payment = total amount / number of payments = 528 answer : d" | gain |
math_qa__Id5YWw6rkBCaBSog | 5 is added to a certain number, the sum is multiplied by 2, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 44. What is the number? Answers.
A) 21 B) 20 C) 63 D) 30 E) 45 | <gadget id="calculator">44 / 2</gadget>
<output>22</output>
<gadget id="calculator">22 + 5</gadget>
<output>27</output>
<gadget id="calculator">27 * 5</gadget>
<output>135</output>
<gadget id="calculator">135 / 2</gadget>
<output>135/2 = around 67.5</output>
<gadget id="calculator">(135/2) - 5</gadget>
<output>125/... | C | 63 | 5 is added to a certain number, the sum is multiplied by 2, the product is divided by 5 and 5 is subtracted from the quotient. The remainder left is half of 44. What is the number? | {
"A": "21",
"B": "20",
"C": "63",
"D": "30",
"E": "45"
} | subtract(divide(multiply(add(divide(44, const_2), 5), 5), 2), 5) | divide(n4,const_2)|add(n0,#0)|multiply(n0,#1)|divide(#2,n1)|subtract(#3,n0)| | "let number is x . when 5 added to it , = ( x + 5 ) 2 multiplied to sum , = 2 * ( x + 5 ) now , = [ { 2 * ( x + 5 ) } / 5 ] and , = [ { 2 * ( x + 5 ) } / 5 ] - 5 according to question , [ { 2 * ( x + 5 ) } / 5 ] - 5 = half of 44 [ ( 2 x + 10 ) / 5 ) = 22 + 5 2 x + 10 = 27 * 5 2 x - 135 - 10 x = 125 / 2 = 62.5 = 63 so ,... | general |
math_qa__omGVNYgkrLHL6dd1 | The ratio between the sale price and the cost price of an article is 9:7. What is the ratio between the profit and the cost price of that article? Choose the correct option:
A) 2 : 9 B) 2 : 7 C) 3 : 6 D) 2 : 0 E) 2 : 1 | <gadget id="calculator">9 - 7</gadget>
<output>2</output>
<gadget id="calculator">2 / 7</gadget>
<output>2/7 = around 0.285714</output>
<result>B</result> | B | 0.285714 | The ratio between the sale price and the cost price of an article is 9:7. What is the ratio between the profit and the cost price of that article? | {
"A": "2 : 9",
"B": "2 : 7",
"C": "3 : 6",
"D": "2 : 0",
"E": "2 : 1"
} | divide(subtract(9, 7), 7) | subtract(n0,n1)|divide(#0,n1)| | "let c . p . = rs . 7 x and s . p . = rs . 9 x . then , gain = rs . 2 x required ratio = 2 x : 7 x = 2 : 7 answer : b" | other |
math_qa__g5urR7YzIHfyHd6h | Find the number which when multiplied by 15 is increased by 196. Choices
A) 14
B) 20
C) 26
D) 28
E) 30 | <gadget id="calculator">15 - 1</gadget>
<output>14</output>
<gadget id="calculator">196 / 14</gadget>
<output>14</output>
<result>A</result> | A | 14 | Find the number which when multiplied by 15 is increased by 196. | {
"A": "14",
"B": "20",
"C": "26",
"D": "28",
"E": "30"
} | divide(196, subtract(15, const_1)) | subtract(n0,const_1)|divide(n1,#0) | let the number be x . then , 15 x - x = 196 < = > 14 x = 196 < = > x = 14 . answer : a | general |
math_qa__DoFdFp53z9ttO92F | One night a certain hotel rented 3/4 of its rooms. including 2/3 of their air conditioned rooms. if 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned?
Choose the correct choice from the following: A) 20 B) 33 1 / 3 C) 35 D) 40 E) 80 | <gadget id="calculator">100 * 3</gadget>
<output>300</output>
<gadget id="calculator">300 / 5</gadget>
<output>60</output>
<gadget id="calculator">60 / 3</gadget>
<output>20</output>
<gadget id="calculator">300 / 4</gadget>
<output>75</output>
<gadget id="calculator">100 - 75</gadget>
<output>25</output>
<gadget i... | E | 80 | One night a certain hotel rented 3/4 of its rooms. including 2/3 of their air conditioned rooms. if 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned? | {
"A": "20",
"B": "33 1 / 3",
"C": "35",
"D": "40",
"E": "80"
} | multiply(divide(divide(divide(multiply(const_100, 3), 5), 3), subtract(const_100, divide(multiply(const_100, 3), 4))), const_100) | multiply(n0,const_100)|divide(#0,n5)|divide(#0,n1)|divide(#1,n0)|subtract(const_100,#2)|divide(#3,#4)|multiply(#5,const_100) | consider total # of rooms to be 100 ; as 3 / 5 of the rooms are air conditioned then # of rooms that are air conditioned is 3 / 5 * 100 = 60 ; 3 / 4 rooms were rented - - > 1 / 4 * 100 = 25 were not rented ; 2 / 3 of air conditioned rooms were rented - - > 1 / 3 * 60 = 20 air conditioned room were not rented ; 20 / 25 ... | gain |
math_qa__xNfTdOEH1mStdQu3 | Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 72 seconds. What is the length of each train (in meters)? Pick one.
A) 70 B) 80 C) 90 D) 100 E) 110 | <gadget id="calculator">46 - 36</gadget>
<output>10</output>
<gadget id="calculator">10 * 1_000</gadget>
<output>10_000</output>
<gadget id="calculator">10_000 / 3_600</gadget>
<output>25/9 = around 2.777778</output>
<gadget id="calculator">(25/9) * 72</gadget>
<output>200</output>
<gadget id="calculator">200 / 2</... | D | 100 | Two trains of equal length are running on parallel lines in the same direction at 46 km/hr and 36 km/hr. The faster train catches and completely passes the slower train in 72 seconds. What is the length of each train (in meters)? | {
"A": "70",
"B": "80",
"C": "90",
"D": "100",
"E": "110"
} | divide(multiply(divide(multiply(subtract(46, 36), const_1000), const_3600), 72), const_2) | subtract(n0,n1)|multiply(#0,const_1000)|divide(#1,const_3600)|multiply(n2,#2)|divide(#3,const_2)| | "the relative speed = 46 - 36 = 10 km / hr = 10 * 5 / 18 = 25 / 9 m / s in 72 seconds , the relative difference in distance traveled is 72 * 25 / 9 = 200 meters this distance is twice the length of each train . the length of each train is 200 / 2 = 100 meters the answer is d ." | physics |
math_qa__SvJQEiheuPl7rlo8 | 80 + 5 * 12 / (180/3) = ? Choose the most appropriate option: A) 23 B) 78 C) 27 D) 61 E) 81 | <gadget id="calculator">5 * 12</gadget>
<output>60</output>
<gadget id="calculator">180 / 3</gadget>
<output>60</output>
<gadget id="calculator">60 / 60</gadget>
<output>1</output>
<gadget id="calculator">80 + 1</gadget>
<output>81</output>
<result>E</result> | E | 81 | 80 + 5 * 12 / (180/3) = ? | {
"A": "23",
"B": "78",
"C": "27",
"D": "61",
"E": "81"
} | add(80, divide(multiply(5, 12), divide(180, 3))) | divide(n3,n4)|multiply(n1,n2)|divide(#1,#0)|add(n0,#2)| | "explanation : 80 + 5 * 12 / ( 180 / 3 ) = 80 + 5 * 12 / ( 60 ) = 80 + ( 5 * 12 ) / 60 = 80 + 1 = 81 . answer : e" | general |
math_qa__WWU3Kax9MMx49n5s | Ann and Bob drive separately to a meeting. Ann's average driving speed is greater than Bob's avergae driving speed by one-third of Bob's average driving speed, and Ann drives twice as many miles as Bob. What is the ratio T of the number of hours Ann spends driving to the meeting to the number of hours Bob spends drivin... | <gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 + (1/3)</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">2 / (4/3)</gadget>
<output>3/2 = around 1.5</output>
<result>B</result> | B | 1.5 | Ann and Bob drive separately to a meeting. Ann's average driving speed is greater than Bob's avergae driving speed by one-third of Bob's average driving speed, and Ann drives twice as many miles as Bob. What is the ratio T of the number of hours Ann spends driving to the meeting to the number of hours Bob spends drivin... | {
"A": "8 : 3",
"B": "3 : 2",
"C": "4 : 3",
"D": "2 : 3",
"E": "3 : 8"
} | divide(const_2, add(const_1, divide(const_1, const_3))) | divide(const_1,const_3)|add(#0,const_1)|divide(const_2,#1) | say the rate of bob is 3 mph and he covers 6 miles then he needs 6 / 3 = 2 hours to do that . now , in this case the rate of ann would be 3 + 3 * 1 / 3 = 4 mph and the distance she covers would be 6 * 2 = 12 miles , so she needs 12 / 4 = 3 hours for that . the ratio t of ann ' s time to bob ' s time is 3 : 2 . answer :... | general |
math_qa__QVilOmJsLzHMGG9c | If 6x = 10y = 14z, then what is a possible sum of positive integers x, y, and z?
Choose the correct choice from the following
A) 213
B) 58
C) 84
D) 122
E) 168 | <gadget id="calculator">10 * 14</gadget>
<output>140</output>
<gadget id="calculator">140 * 6</gadget>
<output>840</output>
<gadget id="calculator">840 / 4</gadget>
<output>210</output>
<result>A</result> | A | 213 | If 6x = 10y = 14z, then what is a possible sum of positive integers x, y, and z? | {
"A": "213",
"B": "58",
"C": "84",
"D": "122",
"E": "168"
} | divide(multiply(multiply(10, 14), 6), const_4) | multiply(n1,n2)|multiply(n0,#0)|divide(#1,const_4) | answer = d = 122 6 x = 10 y = 14 z 3 x = 5 y = 7 z 3 ( 5 * 7 ) = 5 ( 3 * 7 ) = 7 ( 3 * 5 ) addition = 35 + 21 + 15 = 71 answer would be multiple of 71 which is 213 answer : a | general |
math_qa__y4BZxsFzJ2Ncun8c | Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 20 percent. At the same time, it decreased its total working hours by 30 percent. By what percent did this factory increase its output per hour? Choose the correct choice from the following: A) 171.4 B) ... | <gadget id="calculator">100 + 20</gadget>
<output>120</output>
<gadget id="calculator">100 - 30</gadget>
<output>70</output>
<gadget id="calculator">120 / 70</gadget>
<output>12/7 = around 1.714286</output>
<gadget id="calculator">(12/7) * 100</gadget>
<output>1_200/7 = around 171.428571</output>
<result>A</result> | A | 171.4 | Tough and Tricky questions: Percents.
Over the course of a year, a certain microbrewery increased its beer output by 20 percent. At the same time, it decreased its total working hours by 30 percent. By what percent did this factory increase its output per hour? | {
"A": "171.4",
"B": "171.5",
"C": "171.6",
"D": "171.7",
"E": "none of the above"
} | multiply(divide(add(const_100, 20), subtract(const_100, 30)), const_100) | add(n0,const_100)|subtract(const_100,n1)|divide(#0,#1)|multiply(#2,const_100) | lets assume the initial production was 100 litres of beer for 100 hr . with the 20 % increase the total amount of beer production will be 120 litres and with 30 % decrease in total hours will be reduced to 70 hr . 100 hr - - - - > 100 lts 1 hr - - - - - > 1 lts 70 hr - - - - - > 120 lts 1 hr - - - - - > 1.714 lts total... | general |
math_qa__ctwgxYWguzs0zc2P | Walking with 4/5 of my usual speed, I arrive at the bus stop 8 minutes later than normal. How many minutes does it take to walk to the bus stop at my usual speed? Select the correct option.
A) 20 B) 24 C) 28 D) 32 E) 36 | <gadget id="calculator">5 / 4</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">(5/4) - 1</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">8 / (1/4)</gadget>
<output>32</output>
<result>D</result> | D | 32 | Walking with 4/5 of my usual speed, I arrive at the bus stop 8 minutes later than normal. How many minutes does it take to walk to the bus stop at my usual speed? | {
"A": "20",
"B": "24",
"C": "28",
"D": "32",
"E": "36"
} | divide(8, subtract(divide(5, 4), const_1)) | divide(n1,n0)|subtract(#0,const_1)|divide(n2,#1)| | "let t = usual time = distance / usual speed t + 8 = distance / ( 4 * usual speed / 5 ) = ( 5 * distance ) / ( 4 * usual speed ) = 5 t / 4 t = 32 the answer is d ." | physics |
math_qa__rYwWmAIRkbO6cKsh | An inspector rejects 0.08% of the meters as defective. How many will be examine to project ? Choose one.
A) 2000 B) 2300 C) 2700 D) 2500 E) 250 | <gadget id="calculator">2 * 100</gadget>
<output>200</output>
<gadget id="calculator">200 * 100</gadget>
<output>20_000</output>
<gadget id="calculator">0.08 * 100</gadget>
<output>8</output>
<gadget id="calculator">20_000 / 8</gadget>
<output>2_500</output>
<result>D</result> | D | 2,500 | An inspector rejects 0.08% of the meters as defective. How many will be examine to project ? | {
"A": "2000",
"B": "2300",
"C": "2700",
"D": "2500",
"E": "250"
} | divide(multiply(multiply(const_2, const_100), const_100), multiply(0.08, const_100)) | multiply(const_100,const_2)|multiply(n0,const_100)|multiply(#0,const_100)|divide(#2,#1) | let the number of meters to be examined be x . then , 0.08 % of x = 2 [ ( 8 / 100 ) * ( 1 / 100 ) * x ] = 2 x = [ ( 2 * 100 * 100 ) / 8 ] = 2500 answer is d . | gain |
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