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__o6Bo57aWb3Qxm49q | The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product? Options
A) 12.5 % B) 13 % C) 13.15 % D) 14 % E) 15 % | <gadget id="calculator">100 * 100</gadget>
<output>10_000</output>
<gadget id="calculator">100 + 25</gadget>
<output>125</output>
<gadget id="calculator">125 * 70</gadget>
<output>8_750</output>
<gadget id="calculator">10_000 - 8_750</gadget>
<output>1_250</output>
<gadget id="calculator">1_250 * 100</gadget>
<output>125_000</output>
<gadget id="calculator">125_000 / 10_000</gadget>
<output>25/2 = around 12.5</output>
<result>A</result> | A | 12.5 | The Shopkeeper increased the price of a product by 25% so that customer finds it difficult to purchase the required amount. But somehow the customer managed to purchase only 70% of the required amount. What is the net difference in the expenditure on that product? | {
"A": "12.5 %",
"B": "13 %",
"C": "13.15 %",
"D": "14 %",
"E": "15 %"
} | divide(multiply(subtract(multiply(const_100, const_100), multiply(add(const_100, 25), 70)), const_100), multiply(const_100, const_100)) | add(n0,const_100)|multiply(const_100,const_100)|multiply(n1,#0)|subtract(#1,#2)|multiply(#3,const_100)|divide(#4,#1)| | "quantity x rate = price 1 x 1 = 1 0.7 x 1.25 = 0.875 decrease in price = ( 0.125 / 1 ) × 100 = 12.5 % a )" | general |
math_qa__tGSoCBRRzrBPHWlO | A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 80 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost? Choices
A) 53
B) 66
C) 60
D) 85
E) 80 | <gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">80 * (1/3)</gadget>
<output>80/3 = around 26.666667</output>
<gadget id="calculator">(80/3) * 3</gadget>
<output>80</output>
<result>E</result> | E | 80 | A spirit and water solution is sold in a market. The cost per liter of the solution is directly proportional to the part (fraction) of spirit (by volume) the solution has. A solution of 1 liter of spirit and 1 liter of water costs 80 cents. How many cents does a solution of 1 liter of spirit and 2 liters of water cost? | {
"A": "53",
"B": "66",
"C": "60",
"D": "85",
"E": "80"
} | multiply(multiply(80, divide(1, add(1, 2))), add(1, 2)) | add(n0,n4)|divide(n0,#0)|multiply(n2,#1)|multiply(#0,#2)| | "yes , ensure that you understand the relation thoroughly ! cost per liter = k * fraction of spirit 80 cents is the cost of 2 liters of solution ( 1 part water , 1 part spirit ) . so cost per liter is 40 cents . fraction of spirit is 1 / 2 . 40 = k * ( 1 / 2 ) k = 80 cost per liter = 80 * ( 1 / 3 ) ( 1 part spirit , 2 parts water ) cost for 3 liters = 80 * ( 1 / 3 ) * 3 = 80 cents e . 80 cents" | geometry |
math_qa__CsfKWDBXJMyUXsAM | Dean Winchester has got a long wooden stock of size 60 feet, he need to cut small stock of size 1 feet long using his axe.
He takes 5 minutes to cut one small stock (1 feet), how long will he take to make 60 such small stocks? Choose the correct choice from the following answers
A) 296 minutes . B) 297 minutes . C) 295 minutes . D) 294 minutes . E) none | <gadget id="calculator">60 * 5</gadget>
<output>300</output>
<result>C</result> | C | 295 | Dean Winchester has got a long wooden stock of size 60 feet, he need to cut small stock of size 1 feet long using his axe.
He takes 5 minutes to cut one small stock (1 feet), how long will he take to make 60 such small stocks? | {
"A": "296 minutes .",
"B": "297 minutes .",
"C": "295 minutes .",
"D": "294 minutes .",
"E": "none"
} | multiply(60, 5) | multiply(n0,n2) | solution : 295 minutes . when he cut 59 stocks , the 60 th stock will remain . 59 * 5 = 295 minutes . answer c | physics |
math_qa__JPjM9e5QKOk4JhMH | The difference between the squares of two consecutive odd integers
is a square<1000 whose root equals the combined sum of the digits
of the two integers. What is the sum of the digits X of the larger integer? Choose the correct choice from the following answers.
A) x = 2 B) x = 5 C) x = 8 D) 10 E) 11 | <gadget id="calculator">1_000 ** (1/2)</gadget>
<output>10*sqrt(10) = around 31.622777</output>
<gadget id="calculator">(10*sqrt(10)) + 1</gadget>
<output>1 + 10*sqrt(10) = around 32.622777</output>
<gadget id="calculator">floor(1 + 10*sqrt(10))</gadget>
<output>32</output>
<gadget id="calculator">32 - 12</gadget>
<output>20</output>
<gadget id="calculator">20 ** 2</gadget>
<output>400</output>
<gadget id="calculator">2 ** 3</gadget>
<output>8</output>
<gadget id="calculator">400 / 8</gadget>
<output>50</output>
<gadget id="calculator">50 * 2</gadget>
<output>100</output>
<gadget id="calculator">100 / 100</gadget>
<output>1</output>
<gadget id="calculator">1 + 1</gadget>
<output>2</output>
<result>A</result> | A | 2 | The difference between the squares of two consecutive odd integers
is a square<1000 whose root equals the combined sum of the digits
of the two integers. What is the sum of the digits X of the larger integer? | {
"A": "x = 2",
"B": "x = 5",
"C": "x = 8",
"D": "10",
"E": "11"
} | add(divide(multiply(divide(power(subtract(floor(add(sqrt(1000), const_1)), const_12), const_2), power(const_2, const_3)), const_2), const_100), const_1) | power(const_2,const_3)|sqrt(n0)|add(#1,const_1)|floor(#2)|subtract(#3,const_12)|power(#4,const_2)|divide(#5,#0)|multiply(#6,const_2)|divide(#7,const_100)|add(#8,const_1) | really hard . but let ' s start with few concepts : 1 . square of an odd integer will be odd . 2 . difference of odd and odd will be even . 3 . any odd integer can be expressed as difference of two squares . 4 . an even integer can be expressed as difference of two squares only if that even integer is a multiple of 4 . assume two odd integers to be ( 2 x - 1 ) and ( 2 x + 1 ) . difference of their squares = ( 2 x + 1 ) ^ 2 - ( 2 x - 1 ) ^ 2 = 4 x ^ 2 + 1 + 4 x - ( 4 x ^ 2 + 1 - 4 x ) = 4 x ^ 2 + 1 + 4 x - 4 x ^ 2 - 1 + 4 x = 8 x now root of 8 x needs to be an integer such that it is equal to the sum of the digits of the two odd integers . 8 = 2 ^ 3 , so x needs to be such that itcompletesa perfect square . if we find x , we can find the value of 2 x + 1 ( larger integer ) and then sum of its digits . let ' s check the options , starting with c . for sum to be 8 , few possibilities are : 17 , 35 , 53 , 71 if we take 17 , the pair is 15 and 17 , meaning x = 8 . 8 x = 64 root of 64 = 4 but 4 is not equal to 1 + 5 + 1 + 7 . reject . if we take 35 , the pair is 33 and 35 , meaning x = 17 . 8 x = 8 * 17 reject since perfect square is not possible . if we take 53 , the pair is 51 and 53 , meaning x = 26 . 8 x = 8 * 26 reject since perfect square is not possible . if we take 71 , the pair is 69 and 71 , meaning x = 35 . 8 x = 8 * 35 reject since perfect square is not possible . i tried each option and the possibilities and then got lost . then , it occurred to me that i was only checking 2 - digit integers . what about 3 - digits ? starting with option a , only 2 - digit odd integer whose sum is 2 is 101 . if we take 101 , the pair is 99 and 101 , meaning x = 50 . 8 x = 8 * 50 = 400 root of 400 = 20 which is indeed equal to 9 + 9 + 1 + 1 . answer ( a ) . | general |
math_qa__2vfkMnBjnIhxaOOG | If c is 25% of a and 50% of b, what percent of a is b?
Options: A) 2.5 % B) 50 % C) 25 % D) 35 % E) 250 % | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/4) / (1/2)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 100</gadget>
<output>50</output>
<result>B</result> | B | 50 | If c is 25% of a and 50% of b, what percent of a is b? | {
"A": "2.5 %",
"B": "50 %",
"C": "25 %",
"D": "35 %",
"E": "250 %"
} | multiply(divide(divide(25, const_100), divide(50, const_100)), const_100) | divide(n0,const_100)|divide(n1,const_100)|divide(#0,#1)|multiply(#2,const_100)| | "answer = b 25 a / 100 = 50 b / 100 b = 25 a / 50 = 50 a / 100 = 50 %" | gain |
math_qa__hDdFGXCUJpFGDGAK | a metallic cuboid of dimensions 27x18x12 m is melted.find the minimum amount of the volume of molten metal which should be added to mould it into a cube whose edge is 'a' cm where a is an integer. Select the correct option.
A) 16 m B) 17 m C) 18 m D) 19 m E) 15 m | <gadget id="calculator">27 * 18</gadget>
<output>486</output>
<gadget id="calculator">486 * 12</gadget>
<output>5_832</output>
<gadget id="calculator">5_832 ** (1/3)</gadget>
<output>18</output>
<result>C</result> | C | 18 | a metallic cuboid of dimensions 27x18x12 m is melted.find the minimum amount of the volume of molten metal which should be added to mould it into a cube whose edge is 'a' cm where a is an integer. | {
"A": "16 m",
"B": "17 m",
"C": "18 m",
"D": "19 m",
"E": "15 m"
} | cube_edge_by_volume(multiply(multiply(27, 18), 12)) | multiply(n0,n1)|multiply(n2,#0)|cube_edge_by_volume(#1) | volume of cuboid = 27 * 18 * 12 = ( 27 * 27 * 8 ) = ( 3 * 3 * 2 ) ^ 3 = 18 ^ 3 so no amount of the volume of molten metal should be added to mould it into a cube whose edge is ' a ' cm where a is 18 m . answer : c | physics |
math_qa__U86xqWJmyhdGOQj1 | A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 61, how many questions did Student A answer correctly? Choose the correct choice from the following options:
A) 55
B) 60
C) 73
D) 81
E) 87 | <gadget id="calculator">100 - 61</gadget>
<output>39</output>
<gadget id="calculator">39 / 3</gadget>
<output>13</output>
<gadget id="calculator">100 - 13</gadget>
<output>87</output>
<result>E</result> | E | 87 | A teacher grades students’ tests by subtracting twice the number of incorrect responses from the number of correct responses. If Student A answers each of the 100 questions on her test and receives a score of 61, how many questions did Student A answer correctly? | {
"A": "55",
"B": "60",
"C": "73",
"D": "81",
"E": "87"
} | subtract(100, divide(subtract(100, 61), const_3)) | subtract(n0,n1)|divide(#0,const_3)|subtract(n0,#1)| | "let the number of correct responses be x then the number of incorrect responses = 100 - x according to question x - 2 ( 100 - x ) = 61 ( subtracting twice of incorrect from correct ) 3 x = 261 x = 87 answer : e" | general |
math_qa__TRXPHOQ73Dm1gtiH | If X is invested in a bank at a rate of simple interest of y% p.a. for two years, then the interest earned is 600. if X is invested at y% p.a., for two years when the interest is compounded annually, the interest is 615. What is the value of X? Choose the correct choice from the following options:
A) 8000 B) 6000 C) 5000 D) 4000 E) 3000 | <gadget id="calculator">600 / 2</gadget>
<output>300</output>
<gadget id="calculator">300 ** 2</gadget>
<output>90_000</output>
<gadget id="calculator">615 - 600</gadget>
<output>15</output>
<gadget id="calculator">90_000 / 15</gadget>
<output>6_000</output>
<result>B</result> | B | 6,000 | If X is invested in a bank at a rate of simple interest of y% p.a. for two years, then the interest earned is 600. if X is invested at y% p.a., for two years when the interest is compounded annually, the interest is 615. What is the value of X? | {
"A": "8000",
"B": "6000",
"C": "5000",
"D": "4000",
"E": "3000"
} | divide(power(divide(600, const_2), const_2), subtract(615, 600)) | divide(n0,const_2)|subtract(n1,n0)|power(#0,const_2)|divide(#2,#1)| | "simple way to solve this question is to use options . from si , we know that x * y = 30,000 . now , put the value of x = 6000 , we will have y = 5 % to calculate ci , now , we know 1 st year amount = 6000 + 5 % of 6000 = 6300 . 2 nd year , amount = 6300 + 5 % of 6300 = 6615 we can see after 2 years interest = 6615 - 6000 = 615 . hence , it satisfies the question . hence b is the correct answer" | gain |
math_qa__RAkkeWBnOxAj6Vlt | A store purchased a pair of pants for $210 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price. After some time a store owner decided to decrease the selling price by 20 percent. What was the store's gross profit on this sale? Choose the correct option
A) $ 14 B) $ 2 C) $ 10 D) $ 6 E) $ 8 | <gadget id="calculator">210 * 20</gadget>
<output>4_200</output>
<gadget id="calculator">4_200 / 100</gadget>
<output>42</output>
<gadget id="calculator">42 / 3</gadget>
<output>14</output>
<result>A</result> | A | 14 | A store purchased a pair of pants for $210 and was selling it at a price that equaled the purchase price of the pants plus a markup that was 25 percent of the selling price. After some time a store owner decided to decrease the selling price by 20 percent. What was the store's gross profit on this sale? | {
"A": "$ 14",
"B": "$ 2",
"C": "$ 10",
"D": "$ 6",
"E": "$ 8"
} | divide(divide(multiply(210, 20), const_100), const_3) | multiply(n0,n2)|divide(#0,const_100)|divide(#1,const_3) | sale price ( sp ) = 210 + markup ( mp ) - - > mp = sp - 210 and given mp = sp / 4 ( 25 % is 1 / 4 th ) so sp / 4 = sp - 210 3 sp / 4 = 210 sp = 280 now a discount of 20 % is given so new sp is . 8 * 280 = 224 profit = 224 - 210 = 14 answer is a | general |
math_qa__3wUnm7FVmPEteBMu | The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 400 per sq. metre. Options.
A) rs . 15000 B) rs . 8250 C) rs . 15600 D) rs . 16500 E) none of these | <gadget id="calculator">5.5 * 3.75</gadget>
<output>20.625</output>
<gadget id="calculator">400 * 20.625</gadget>
<output>8_250</output>
<result>B</result> | B | 8,250 | The length of a room is 5.5 m and width is 3.75 m. Find the cost of paving the floor by slabs at the rate of Rs. 400 per sq. metre. | {
"A": "rs . 15000",
"B": "rs . 8250",
"C": "rs . 15600",
"D": "rs . 16500",
"E": "none of these"
} | multiply(400, multiply(5.5, 3.75)) | multiply(n0,n1)|multiply(n2,#0)| | "solution area of the floor = ( 5.5 × 3.75 ) m 2 = 20.625 m 2 ∴ cost of paving = rs . ( 400 × 20.625 ) = 8250 . answer b" | physics |
math_qa__bG5N3SGNQO55rHTi | If a2 - b2 = 5 and a*b = 2, find a4 + b4. Choose the correct choice.
A) 50 B) 72 C) 25 D) 92 E) 33 | <gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">25 + 8</gadget>
<output>33</output>
<result>E</result> | E | 33 | If a2 - b2 = 5 and a*b = 2, find a4 + b4. | {
"A": "50",
"B": "72",
"C": "25",
"D": "92",
"E": "33"
} | add(power(5, 2), multiply(power(2, 2), 2)) | power(n3,n0)|power(n2,n0)|multiply(#0,n0)|add(#2,#1)| | "a 2 - b 2 = 5 : given a 4 + b 4 - 2 a 2 b 2 = 52 : square both sides and expand . a * b = 2 : given a 2 b 2 = 22 : square both sides . a 4 + b 4 - 2 ( 4 ) = 25 : substitute a 4 + b 4 = 33 correct answer e" | general |
math_qa__7KntiKvHkpVPLGI7 | If 1+2+3+...+n=n (n+1), then 3 (1+3+5+....+79)=? Choose the correct choice from the following choices:
A) 4500 B) 4250 C) 4350 D) 4800 E) 4150 | <gadget id="calculator">79 + 1</gadget>
<output>80</output>
<gadget id="calculator">79 * 80</gadget>
<output>6_320</output>
<gadget id="calculator">6_320 / 2</gadget>
<output>3_160</output>
<gadget id="calculator">79 - 1</gadget>
<output>78</output>
<gadget id="calculator">78 / 2</gadget>
<output>39</output>
<gadget id="calculator">39 + 1</gadget>
<output>40</output>
<gadget id="calculator">39 * 40</gadget>
<output>1_560</output>
<gadget id="calculator">3_160 - 1_560</gadget>
<output>1_600</output>
<gadget id="calculator">1_600 * 3</gadget>
<output>4_800</output>
<result>D</result> | D | 4,800 | If 1+2+3+...+n=n (n+1), then 3 (1+3+5+....+79)=? | {
"A": "4500",
"B": "4250",
"C": "4350",
"D": "4800",
"E": "4150"
} | multiply(subtract(divide(multiply(79, add(79, 1)), 2), multiply(divide(subtract(79, 1), 2), add(divide(subtract(79, 1), 2), 1))), 3) | add(n8,n0)|subtract(n8,n0)|divide(#1,n1)|multiply(n8,#0)|add(#2,n0)|divide(#3,n1)|multiply(#4,#2)|subtract(#5,#6)|multiply(#7,n2)| | "explanation : to solve this use the formula of ap , sn = ( n / 2 ) ( a + l ) . . . . . . . . . . . . . . . . ( 1 ) to find n , use = > tn = a + ( n - 1 ) d = > 79 = 1 + ( n - 1 ) 2 = > n = 40 use value of n in ( 1 ) then , sn = ( 40 / 2 ) ( 1 + 79 ) = 1600 ans : - 3 ( sn ) = 4800 answer : d" | general |
math_qa__Rcgx7x5MIXUWjhnz | A river boat leaves Silver Town and travels upstream to Gold Town at an average speed of 4 kilometers per hour. It returns by the same route at an average speed of 7 kilometers per hour. What is the average speed for the round-trip in kilometers per hour? Choose the most appropriate option.
A) 5.1 B) 7.1 C) 7.2 D) 7.5 E) 8.0 | <gadget id="calculator">4 * 7</gadget>
<output>28</output>
<gadget id="calculator">28 * 2</gadget>
<output>56</output>
<gadget id="calculator">4 + 7</gadget>
<output>11</output>
<gadget id="calculator">56 / 11</gadget>
<output>56/11 = around 5.090909</output>
<result>A</result> | A | 5.1 | A river boat leaves Silver Town and travels upstream to Gold Town at an average speed of 4 kilometers per hour. It returns by the same route at an average speed of 7 kilometers per hour. What is the average speed for the round-trip in kilometers per hour? | {
"A": "5.1",
"B": "7.1",
"C": "7.2",
"D": "7.5",
"E": "8.0"
} | divide(multiply(multiply(4, 7), const_2), add(4, 7)) | add(n0,n1)|multiply(n0,n1)|multiply(#1,const_2)|divide(#2,#0)| | "pick a number which is lcm of 7 and 4 = 18 . upstream time = 28 / 4 = 7 hrs downstream time = 28 / 7 = 4 hrs total time = 11 hrs total distance = 56 average speed = 56 / 11 = 5.1 km / hr" | physics |
math_qa__R8jgwIIK1BNPiqXz | A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 25 miles per gallon, and from Town B to Town C, the car averaged 30 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C? Choose the correct choice.
A) 24
B) 25
C) 23
D) 22
E) 26.5 | <gadget id="calculator">30 * 10</gadget>
<output>300</output>
<gadget id="calculator">300 / 2</gadget>
<output>150</output>
<gadget id="calculator">300 + 150</gadget>
<output>450</output>
<gadget id="calculator">300 / 25</gadget>
<output>12</output>
<gadget id="calculator">150 / 30</gadget>
<output>5</output>
<gadget id="calculator">12 + 5</gadget>
<output>17</output>
<gadget id="calculator">450 / 17</gadget>
<output>450/17 = around 26.470588</output>
<result>E</result> | E | 26.5 | A certain car traveled twice as many miles from Town A to Town B as it did from Town B to Town C. From Town A to Town B, the car averaged 25 miles per gallon, and from Town B to Town C, the car averaged 30 miles per gallon. What is the average miles per gallon that the car achieved on its trip from Town A through Town B to Town C? | {
"A": "24",
"B": "25",
"C": "23",
"D": "22",
"E": "26.5"
} | divide(add(multiply(30, const_10), divide(multiply(30, const_10), const_2)), add(divide(multiply(30, const_10), 25), divide(divide(multiply(30, const_10), const_2), 30))) | multiply(n1,const_10)|divide(#0,const_2)|divide(#0,n0)|add(#1,#0)|divide(#1,n1)|add(#2,#4)|divide(#3,#5) | step 1 ) took lcm of 25 and 30 . . came as 150 . step 2 ) 150 distance between b to c . . . do 150 / 30 hence 5 gallons used step 3 ) twice distance . . hence 150 * 2 = 300 . . . do as above . . 300 / 25 = 12 gallons used step 4 ) total gallons . . 5 + 12 = 17 gallons step ) total miles = 150 + 300 = 450 miles hence . . average of whole journey = 450 / 17 which comes to 26.5 answer : e | general |
math_qa__UVlMpQqzdTuWROCE | If w,x,y and z are distinct odd positive integers,then the maximum value of the expression (w^2+x^2)*(y^2+z^2) can be divisible by? Options:
A) 2 B) 3 C) 5 D) 8 E) 10 | <gadget id="calculator">2 + 2</gadget>
<output>4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">8 / 4</gadget>
<output>2</output>
<result>A</result> | A | 2 | If w,x,y and z are distinct odd positive integers,then the maximum value of the expression (w^2+x^2)*(y^2+z^2) can be divisible by? | {
"A": "2",
"B": "3",
"C": "5",
"D": "8",
"E": "10"
} | divide(multiply(add(2, 2), 2), multiply(2, 2)) | add(n0,n0)|multiply(n0,n0)|multiply(n0,#0)|divide(#2,#1) | any odd number square will give odd number only . . similarly wen we add 2 odd numbers we will get even number . . wen we multiply 2 even owe will get even nuber . . so the result of the above expression is an even number only . . hence it is divisible by 2 . . . answer : a | general |
math_qa__yzQZ56U3PsuMmat9 | John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of number is? Choose the correct choice:
A) 50
B) 60
C) 75
D) 80
E) 85 | <gadget id="calculator">40 + 10</gadget>
<output>50</output>
<result>A</result> | A | 50 | John found that the average of 15 numbers is 40. If 10 is added to each number then the mean of number is? | {
"A": "50",
"B": "60",
"C": "75",
"D": "80",
"E": "85"
} | add(40, 10) | add(n1,n2)| | "( x + x 1 + . . . x 14 ) / 15 = 40 50 option a" | general |
math_qa__0slOyCanh4pva37A | If A's salary is 20% less than B's salary, by how much percent is B's salary more than A's? Choose the correct option:
A) 5 %
B) 10 %
C) 15 %
D) 25 %
E) none | <gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">100 - 80</gadget>
<output>20</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">20 / (4/5)</gadget>
<output>25</output>
<result>D</result> | D | 25 | If A's salary is 20% less than B's salary, by how much percent is B's salary more than A's? | {
"A": "5 %",
"B": "10 %",
"C": "15 %",
"D": "25 %",
"E": "none"
} | divide(subtract(const_100, subtract(const_100, 20)), divide(subtract(const_100, 20), const_100)) | subtract(const_100,n0)|divide(#0,const_100)|subtract(const_100,#0)|divide(#2,#1) | solution required percentage ‹ = › [ 20 / ( 100 - 20 ) x 100 ] % ‹ = › 25 % answer d | general |
math_qa__qHNxFgYJGkgUVyDx | What will be the difference between simple interest and compound interest @ 10% per annum on a sum of Rs. 1000 after 3 years? Choose the correct choice from the following:
A) 22 B) 77 C) 26 D) 19 E) 31 | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) + 1</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">(11/10) ** 3</gadget>
<output>1_331/1_000 = around 1.331</output>
<gadget id="calculator">(1_331/1_000) * 1_000</gadget>
<output>1_331</output>
<gadget id="calculator">1_331 - 1_000</gadget>
<output>331</output>
<gadget id="calculator">10 * 1_000</gadget>
<output>10_000</output>
<gadget id="calculator">3 * 10_000</gadget>
<output>30_000</output>
<gadget id="calculator">30_000 / 100</gadget>
<output>300</output>
<gadget id="calculator">331 - 300</gadget>
<output>31</output>
<result>E</result> | E | 31 | What will be the difference between simple interest and compound interest @ 10% per annum on a sum of Rs. 1000 after 3 years? | {
"A": "22",
"B": "77",
"C": "26",
"D": "19",
"E": "31"
} | subtract(subtract(multiply(power(add(divide(10, const_100), const_1), 3), 1000), 1000), divide(multiply(3, multiply(10, 1000)), const_100)) | divide(n0,const_100)|multiply(n0,n1)|add(#0,const_1)|multiply(n2,#1)|divide(#3,const_100)|power(#2,n2)|multiply(n1,#5)|subtract(#6,n1)|subtract(#7,#4)| | "explanation : s . i . = rs . [ ( 1000 x 10 x 3 ) / 100 ] = rs . 300 c . i . = rs . [ 1000 x ( 1 + ( 10 / 100 ) ) 3 - 1000 ] = rs . 331 difference = rs . ( 331 - 300 ) = rs . 31 answer : e" | gain |
math_qa__prUnfPRzsFD3TLxr | The mean of 25 values was 190. It was detected on rechecking that one value 165 was wrongly copied as 130 for the computation of the mean. Find the correct mean.
Choose the correct choice from the following answers: A) 151 B) 149 C) 152 D) 191.4 E) none of the above | <gadget id="calculator">25 * 190</gadget>
<output>4_750</output>
<gadget id="calculator">165 - 130</gadget>
<output>35</output>
<gadget id="calculator">4_750 + 35</gadget>
<output>4_785</output>
<gadget id="calculator">4_785 / 25</gadget>
<output>957/5 = around 191.4</output>
<result>D</result> | D | 191.4 | The mean of 25 values was 190. It was detected on rechecking that one value 165 was wrongly copied as 130 for the computation of the mean. Find the correct mean. | {
"A": "151",
"B": "149",
"C": "152",
"D": "191.4",
"E": "none of the above"
} | divide(add(multiply(25, 190), subtract(165, 130)), 25) | multiply(n0,n1)|subtract(n2,n3)|add(#0,#1)|divide(#2,n0)| | "corrected mean = 190 × 25 − 130 + 165 / 25 = 4750 + 35 / 25 = 4785 / 25 = 191.4 answer d" | general |
math_qa__d3eDYhgtvC7xu735 | A man can swim in still water at 5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is? Choose the correct choice from the following.
A) 1.78 B) 1.667 C) 1.15 D) 1.5 E) 1.2 | <gadget id="calculator">5 / 3</gadget>
<output>5/3 = around 1.666667</output>
<result>B</result> | B | 1.667 | A man can swim in still water at 5 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is? | {
"A": "1.78",
"B": "1.667",
"C": "1.15",
"D": "1.5",
"E": "1.2"
} | divide(5, const_3) | divide(n0,const_3) | m = 5 s = x ds = 5 + x us = 5 - x 5 + x = ( 5 - x ) 2 5 + x = 10 - 2 x 3 x = 5 x = 1.667 answer : b | general |
math_qa__wjIJ3zYsFPiR5zCl | Micheal and Adam can do together a piece of work in 20 days. After they have worked together for 11 days Micheal stops and Adam completes the remaining work in 10 days. In how many days Micheal complete the work separately.
Select
A) 80 days B) 100 days C) 120 days D) 110 days E) 200 days | <gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) * 11</gadget>
<output>11/20 = around 0.55</output>
<gadget id="calculator">1 - (11/20)</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">1 / (9/20)</gadget>
<output>20/9 = around 2.222222</output>
<gadget id="calculator">(20/9) * 10</gadget>
<output>200/9 = around 22.222222</output>
<gadget id="calculator">1 / (200/9)</gadget>
<output>9/200 = around 0.045</output>
<gadget id="calculator">(1/20) - (9/200)</gadget>
<output>1/200 = around 0.005</output>
<gadget id="calculator">1 / (1/200)</gadget>
<output>200</output>
<result>E</result> | E | 200 | Micheal and Adam can do together a piece of work in 20 days. After they have worked together for 11 days Micheal stops and Adam completes the remaining work in 10 days. In how many days Micheal complete the work separately. | {
"A": "80 days",
"B": "100 days",
"C": "120 days",
"D": "110 days",
"E": "200 days"
} | inverse(subtract(inverse(20), inverse(multiply(inverse(subtract(const_1, multiply(inverse(20), 11))), 10)))) | inverse(n0)|multiply(n1,#0)|subtract(const_1,#1)|inverse(#2)|multiply(n2,#3)|inverse(#4)|subtract(#0,#5)|inverse(#6) | rate of both = 1 / 20 together they do = 1 / 20 * 11 = 11 / 20 left work = 1 - 11 / 20 = 9 / 20 adam completes 9 / 20 work in 10 day so he took 10 * 20 / 9 = 200 / 9 days to complete the left work alone . thus the rate of adam is 9 / 200 rate of micheal = 1 / 20 - 9 / 200 = 1 / 200 thus micheal takes 200 days to complete the whole work . ans . e . | physics |
math_qa__hjJ1AHCZIfEpTTGr | A walks at 10 kmph and 3 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A?
Choose the correct choice from the following:
A) 100 km
B) 150 km
C) 60 km
D) 120 km
E) 200 km | <gadget id="calculator">3 * 20</gadget>
<output>60</output>
<result>C</result> | C | 60 | A walks at 10 kmph and 3 hours after his start, B cycles after him at 20 kmph. How far from the start does B catch up with A? | {
"A": "100 km",
"B": "150 km",
"C": "60 km",
"D": "120 km",
"E": "200 km"
} | multiply(3, 20) | multiply(n1,n2)| | "suppose after x km from the start b catches up with a . then , the difference in the time taken by a to cover x km and that taken by b to cover x km is 3 hours . x / 10 - x / 20 = 3 x = 60 km answer is c" | physics |
math_qa__AyT2Ei5viCvCshUg | What would be the length of the diagonal of a square plot whose area is equal to the area of a rectangular plot of 45 m length and 40 m width?
Select the correct option
A) 42.5 m B) 60 m C) 4800 m D) data inadequate E) none of these | <gadget id="calculator">45 * 40</gadget>
<output>1_800</output>
<gadget id="calculator">1_800 ** (1/2)</gadget>
<output>30*sqrt(2) = around 42.426407</output>
<gadget id="calculator">((30*sqrt(2)) ** 2 + (30*sqrt(2)) ** 2) ** (1/2)</gadget>
<output>60</output>
<result>B</result> | B | 60 | What would be the length of the diagonal of a square plot whose area is equal to the area of a rectangular plot of 45 m length and 40 m width? | {
"A": "42.5 m",
"B": "60 m",
"C": "4800 m",
"D": "data inadequate",
"E": "none of these"
} | diagonal(square_edge_by_area(rectangle_area(45, 40)), square_edge_by_area(rectangle_area(45, 40))) | rectangle_area(n0,n1)|square_edge_by_area(#0)|diagonal(#1,#1) | a 2 = 45 × 40 = 1800 ∴ a = √ 1800 = 30 √ 2 ∴ diagonal of the square = √ 2 a = √ 2 × 30 √ 2 = 30 × 2 = 60 m answer b | geometry |
math_qa__OykHZFA0aLLvULVR | A goods train runs at the speed of 72 km/hr and crosses a 80 m long platform in 26 sec. What is the length of the goods train? Choose the correct choice from the following options:
A) 382 B) 440 C) 278 D) 270 E) 881 | <gadget id="calculator">72 / 3_600</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">(1/50) * 1_000</gadget>
<output>20</output>
<gadget id="calculator">20 * 26</gadget>
<output>520</output>
<gadget id="calculator">520 - 80</gadget>
<output>440</output>
<result>B</result> | B | 440 | A goods train runs at the speed of 72 km/hr and crosses a 80 m long platform in 26 sec. What is the length of the goods train? | {
"A": "382",
"B": "440",
"C": "278",
"D": "270",
"E": "881"
} | subtract(multiply(multiply(divide(72, const_3600), const_1000), 26), 80) | divide(n0,const_3600)|multiply(#0,const_1000)|multiply(n2,#1)|subtract(#2,n1)| | "speed = 72 * 5 / 18 = 20 m / sec . time = 26 sec . let the length of the train be x meters . then , ( x + 80 ) / 26 = 20 x = 440 m . answer : b" | physics |
math_qa__1n4Oq0jecnOZHsrY | What is the total cost of 2 sandwiches at $1.49 each and 4 sodas at $0.87 each? Choose the correct answer:
A) $ 3.36 B) $ 6.46 C) $ 8.46 D) $ 10.08 E) $ 11.85 | <gadget id="calculator">2 * 1.49</gadget>
<output>2.98</output>
<gadget id="calculator">4 * 0.87</gadget>
<output>3.48</output>
<gadget id="calculator">2.98 + 3.48</gadget>
<output>6.46</output>
<result>B</result> | B | 6.46 | What is the total cost of 2 sandwiches at $1.49 each and 4 sodas at $0.87 each? | {
"A": "$ 3.36",
"B": "$ 6.46",
"C": "$ 8.46",
"D": "$ 10.08",
"E": "$ 11.85"
} | add(multiply(2, 1.49), multiply(4, 0.87)) | multiply(n0,n1)|multiply(n2,n3)|add(#0,#1) | answer = b 2 * 1.49 + 4 * 0.87 = 2 ( 1.50 - 0.01 ) + 4 ( 1.00 - 0.13 ) = 3 + 4 - 0.02 - 0.52 = 7 - 0.54 = 6.46 | general |
math_qa__S33VgKnXV4ZoUdSl | If the radius of a circle that centers at the origin is 5, how many W points on the circle have integer coordinates? Choose one:
A) 4 B) 8 C) 12 D) 15 E) 20 | <gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">25 - 9</gadget>
<output>16</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">16 - 4</gadget>
<output>12</output>
<result>C</result> | C | 12 | If the radius of a circle that centers at the origin is 5, how many W points on the circle have integer coordinates? | {
"A": "4",
"B": "8",
"C": "12",
"D": "15",
"E": "20"
} | subtract(subtract(multiply(5, 5), add(5, const_4)), power(const_2, const_2)) | add(n0,const_4)|multiply(n0,n0)|power(const_2,const_2)|subtract(#1,#0)|subtract(#3,#2)| | "i understand this might not be required but i used the equation of a circle . since the origin is at 0 , x ^ 2 + y ^ 2 = 5 ^ 2 . x , y could be + / - ( 0,5 or 5,0 ) - 4 possibilities . x , y could be + / - ( 3,4 or 4,3 ) - 8 possibilities . ans : w = c" | geometry |
math_qa__gNAPZ2rCqHeqIIm3 | The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is?
Choose the correct choice from the following choices: A) 9 : 38 B) 9 : 31 C) 9 : 32 D) 9 : 39 E) 9 : 35 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) ** 2</gadget>
<output>9/16 = around 0.5625</output>
<gadget id="calculator">(1/2) * (9/16)</gadget>
<output>9/32 = around 0.28125</output>
<result>C</result> | C | 0.28125 | The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is? | {
"A": "9 : 38",
"B": "9 : 31",
"C": "9 : 32",
"D": "9 : 39",
"E": "9 : 35"
} | multiply(divide(1, 2), power(divide(3, 4), const_2)) | divide(n0,n1)|divide(n2,n3)|power(#1,const_2)|multiply(#0,#2) | 9 : 32 answer : c | geometry |
math_qa__JnIQlGf1kq9uBhK5 | ?% of 360 = 93.6
Choose the most appropriate option:
A) 277 B) 36 C) 26 D) 72 E) none of these | <gadget id="calculator">93.6 * 100</gadget>
<output>9_360</output>
<gadget id="calculator">9_360 / 360</gadget>
<output>26</output>
<result>C</result> | C | 26 | ?% of 360 = 93.6 | {
"A": "277",
"B": "36",
"C": "26",
"D": "72",
"E": "none of these"
} | divide(multiply(93.6, const_100), 360) | multiply(n1,const_100)|divide(#0,n0)| | "? % of 360 = 93.6 or , ? = 93.6 × 100 / 360 = 26 answer c" | gain |
math_qa__5ItydjMqYMRMta6X | Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $450, what were her original savings? Choose the correct option:
A) $ 1500 B) $ 1600 C) $ 1700 D) $ 1800 E) $ 1900 | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 - (3/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">450 / (1/4)</gadget>
<output>1_800</output>
<result>D</result> | D | 1,800 | Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $450, what were her original savings? | {
"A": "$ 1500",
"B": "$ 1600",
"C": "$ 1700",
"D": "$ 1800",
"E": "$ 1900"
} | divide(450, subtract(const_1, divide(3, 4))) | divide(n0,n1)|subtract(const_1,#0)|divide(n2,#1)| | "if linda spent 3 / 4 of her savings on furnitute , the rest 4 / 4 - 3 / 4 = 1 / 4 on a tv but the tv cost her $ 450 . so 1 / 4 of her savings is $ 450 . so her original savings are 4 times $ 450 = $ 1800 correct answer d" | general |
math_qa__X1fXNDzlxz54Gnbr | A man purchased 1 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets?
Choose the correct answer.
A) 278 B) 277 C) 278 D) 450 E) 650 | <gadget id="calculator">10 * 150</gadget>
<output>1_500</output>
<gadget id="calculator">1 * 100</gadget>
<output>100</output>
<gadget id="calculator">5 * 150</gadget>
<output>750</output>
<gadget id="calculator">100 + 750</gadget>
<output>850</output>
<gadget id="calculator">1_500 - 850</gadget>
<output>650</output>
<result>E</result> | E | 650 | A man purchased 1 blankets @ Rs.100 each, 5 blankets @ Rs.150 each and two blankets at a certain rate which is now slipped off from his memory. But he remembers that the average price of the blankets was Rs.150. Find the unknown rate of two blankets? | {
"A": "278",
"B": "277",
"C": "278",
"D": "450",
"E": "650"
} | subtract(multiply(const_10, 150), add(multiply(1, 100), multiply(5, 150))) | multiply(n3,const_10)|multiply(n0,n1)|multiply(n2,n3)|add(#1,#2)|subtract(#0,#3)| | "10 * 150 = 1500 1 * 100 + 5 * 150 = 850 1500 – 850 = 650 answer : e" | general |
math_qa__SkkSSjwxWTNAvJgF | Rice weighing 29/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each container? (Note that 1 pound = 16 ounces) Select the correct option:
A) 21 B) 25 C) 29 D) 33 E) 37 | <gadget id="calculator">29 / 4</gadget>
<output>29/4 = around 7.25</output>
<gadget id="calculator">(29/4) * 16</gadget>
<output>116</output>
<gadget id="calculator">116 / 4</gadget>
<output>29</output>
<result>C</result> | C | 29 | Rice weighing 29/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each container? (Note that 1 pound = 16 ounces) | {
"A": "21",
"B": "25",
"C": "29",
"D": "33",
"E": "37"
} | divide(multiply(divide(29, 4), 16), 4) | divide(n0,n1)|multiply(n4,#0)|divide(#1,n2)| | "29 / 4 ÷ 4 = 29 / 16 pounds in each container 29 / 16 pounds * 16 ounces / pound = 29 ounces in each container the answer is c ." | general |
math_qa__L613npC3cfZmLQ2g | The speed at which a man can row a boat in still water is 15 km/hr. If he rows downstream, where the speed of current is 3 km/hr, how many seconds will he take to cover 90 meters? Answers.
A) 12 B) 16 C) 17 D) 18 E) 20 | <gadget id="calculator">15 + 3</gadget>
<output>18</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">18 * (5/18)</gadget>
<output>5</output>
<gadget id="calculator">90 / 5</gadget>
<output>18</output>
<result>D</result> | D | 18 | The speed at which a man can row a boat in still water is 15 km/hr. If he rows downstream, where the speed of current is 3 km/hr, how many seconds will he take to cover 90 meters? | {
"A": "12",
"B": "16",
"C": "17",
"D": "18",
"E": "20"
} | divide(90, multiply(add(15, 3), const_0_2778)) | add(n0,n1)|multiply(#0,const_0_2778)|divide(n2,#1)| | "the speed of the boat downstream = 15 + 3 = 18 km / hr 18 km / hr * 5 / 18 = 5 m / s the time taken to cover 90 meters = 90 / 5 = 18 seconds . the answer is d ." | physics |
math_qa__g5Gzc7pIKPiMZRmz | For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [9]*[10] equivalent to? Choose the correct choice from the following options
A) [ 25 ]
B) [ 135 ]
C) [ 30 ]
D) [ 90 ]
E) [ 45 ] | <gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">3 * 9</gadget>
<output>27</output>
<gadget id="calculator">5 * 27</gadget>
<output>135</output>
<gadget id="calculator">135 / 3</gadget>
<output>45</output>
<result>E</result> | E | 45 | For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when m is even. What is [9]*[10] equivalent to? | {
"A": "[ 25 ]",
"B": "[ 135 ]",
"C": "[ 30 ]",
"D": "[ 90 ]",
"E": "[ 45 ]"
} | divide(multiply(divide(10, 2), multiply(3, 9)), const_3) | divide(n4,n2)|multiply(n0,n3)|multiply(#0,#1)|divide(#2,const_3) | [ 9 ] * [ 10 ] = 27 * 5 = 135 = 3 * 45 = [ 45 ] the answer is e . | general |
math_qa__Zizz7ixQRTeJkFgD | A cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. If any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability Q that a + b is prime? Select the correct option.
A) 0 B) 1 / 12 C) 5 / 12 D) 7 / 18 E) 4 / 9 | <gadget id="calculator">12 + 3</gadget>
<output>15</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) ** 2</gadget>
<output>1/36 = around 0.027778</output>
<gadget id="calculator">15 * (1/36)</gadget>
<output>5/12 = around 0.416667</output>
<result>C</result> | C | 0.416667 | A cube with its sides numbered 1 through 6 is rolled twice, first landing on a and then landing on b. If any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6, what is the probability Q that a + b is prime? | {
"A": "0",
"B": "1 / 12",
"C": "5 / 12",
"D": "7 / 18",
"E": "4 / 9"
} | multiply(add(const_12, const_3), power(divide(1, 6), const_2)) | add(const_12,const_3)|divide(n0,n1)|power(#1,const_2)|multiply(#0,#2)| | "total # of outcomes is 6 * 6 = 36 ; favorable outcomes : a - b - - > prime 1 - 1 - - > 2 ; 1 - 2 - - > 3 ; 2 - 1 - - > 3 ; 1 - 4 - - > 5 ; 4 - 1 - - > 5 ; 2 - 3 - - > 5 ; 3 - 2 - - > 5 ; 1 - 6 - - > 7 ; 6 - 1 - - > 7 ; 2 - 5 - - > 7 ; 5 - 2 - - > 7 ; 3 - 4 - - > 7 ; 4 - 3 - - > 7 ; 6 - 5 - - > 11 ; 5 - 6 - - > 11 . total of 15 favorable outcomes q = 15 / 36 . answer : c ." | general |
math_qa__NXN6wr9bHBG2RNJt | Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 20% profit? Choose the correct choice from the following answers:
A) 15.12 B) 16.33 C) 16.35 D) 16.3 E) 16.32 | <gadget id="calculator">30 * 11.5</gadget>
<output>345</output>
<gadget id="calculator">20 * 14.25</gadget>
<output>285</output>
<gadget id="calculator">345 + 285</gadget>
<output>630</output>
<gadget id="calculator">630 / 100</gadget>
<output>63/10 = around 6.3</output>
<gadget id="calculator">(63/10) * 20</gadget>
<output>126</output>
<gadget id="calculator">630 + 126</gadget>
<output>756</output>
<gadget id="calculator">30 + 20</gadget>
<output>50</output>
<gadget id="calculator">756 / 50</gadget>
<output>378/25 = around 15.12</output>
<result>A</result> | A | 15.12 | Arun purchased 30 kg of wheat at the rate of Rs. 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg. He mixed the two and sold the mixture. Approximately what price per kg should be sell the mixture to make 20% profit? | {
"A": "15.12",
"B": "16.33",
"C": "16.35",
"D": "16.3",
"E": "16.32"
} | divide(add(add(multiply(30, 11.50), multiply(20, 14.25)), multiply(divide(add(multiply(30, 11.50), multiply(20, 14.25)), const_100), 20)), add(30, 20)) | add(n0,n2)|multiply(n0,n1)|multiply(n2,n3)|add(#1,#2)|divide(#3,const_100)|multiply(n4,#4)|add(#3,#5)|divide(#6,#0)| | "c . p . of 50 kg wheat = ( 30 * 11.50 + 20 * 14.25 ) = rs . 630 . s . p . of 50 kg wheat = 120 % of rs . 630 = 120 / 100 * 630 = rs . 756 s . p . per kg = 756 / 50 = rs . 15.12 answer : a" | gain |
math_qa__iPUw6ZnNHmllIopL | A certain bag contains 100 balls — 50 white, 30 green, 8 yellow, 9 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple? Choose one:
A) 0.9
B) 0.75
C) 0.6
D) 0.88
E) 0.5 | <gadget id="calculator">9 + 3</gadget>
<output>12</output>
<gadget id="calculator">100 - 12</gadget>
<output>88</output>
<gadget id="calculator">88 / 100</gadget>
<output>22/25 = around 0.88</output>
<result>D</result> | D | 0.88 | A certain bag contains 100 balls — 50 white, 30 green, 8 yellow, 9 red, and 3 purple. If a ball is to be chosen at random, what is the probability that the ball will be neither red nor purple? | {
"A": "0.9",
"B": "0.75",
"C": "0.6",
"D": "0.88",
"E": "0.5"
} | divide(subtract(100, add(9, 3)), 100) | add(n4,n5)|subtract(n0,#0)|divide(#1,n0)| | "according to the stem the ball can be white , green or yellow , so the probability is ( white + green + yellow ) / ( total ) = ( 50 + 30 + 8 ) / 100 = 88 / 100 = 0.88 . answer is d" | other |
math_qa__FGW63M478V7Iq4Nw | If the wheel is 9 cm then the number of revolutions to cover a distance of 1056 cm is? Choose the correct choice from the following answers:
A) 18
B) 26
C) 14
D) 18.7
E) 91 | <gadget id="calculator">3 * 100</gadget>
<output>300</output>
<gadget id="calculator">1 * 10</gadget>
<output>10</output>
<gadget id="calculator">300 + 10</gadget>
<output>310</output>
<gadget id="calculator">310 + 4</gadget>
<output>314</output>
<gadget id="calculator">314 / 100</gadget>
<output>157/50 = around 3.14</output>
<gadget id="calculator">2 * (157/50)</gadget>
<output>157/25 = around 6.28</output>
<gadget id="calculator">(157/25) * 9</gadget>
<output>1_413/25 = around 56.52</output>
<gadget id="calculator">1_056 / (1_413/25)</gadget>
<output>8_800/471 = around 18.683652</output>
<result>D</result> | D | 18.7 | If the wheel is 9 cm then the number of revolutions to cover a distance of 1056 cm is? | {
"A": "18",
"B": "26",
"C": "14",
"D": "18.7",
"E": "91"
} | divide(1056, multiply(multiply(const_2, divide(add(add(multiply(const_3, const_100), multiply(const_1, const_10)), const_4), const_100)), 9)) | multiply(const_100,const_3)|multiply(const_1,const_10)|add(#0,#1)|add(#2,const_4)|divide(#3,const_100)|multiply(#4,const_2)|multiply(n0,#5)|divide(n1,#6)| | "2 * 22 / 7 * 9 * x = 1056 = > x = 18.7 answer : d" | physics |
math_qa__EgDG1LMec4kLq7SJ | Kanul spent $80000 in buying raw materials, $30000 in buying machinery and 20% of the total amount he had as cash with him. What was the total amount?
Choose one: A) $ 135656 B) $ 137500 C) $ 134446 D) $ 123265 E) $ 124564 | <gadget id="calculator">80_000 + 30_000</gadget>
<output>110_000</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">110_000 / (4/5)</gadget>
<output>137_500</output>
<result>B</result> | B | 137,500 | Kanul spent $80000 in buying raw materials, $30000 in buying machinery and 20% of the total amount he had as cash with him. What was the total amount? | {
"A": "$ 135656",
"B": "$ 137500",
"C": "$ 134446",
"D": "$ 123265",
"E": "$ 124564"
} | divide(add(80000, 30000), subtract(const_1, divide(20, const_100))) | add(n0,n1)|divide(n2,const_100)|subtract(const_1,#1)|divide(#0,#2)| | "let the total amount be x then , ( 100 - 20 ) % of x = 80000 + 30000 80 % of x = 110000 80 x / 100 = 110000 x = $ 1100000 / 8 x = $ 137500 answer is b" | gain |
math_qa__SNcjKjRMs6OLzFZY | If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 5 strokes ? Choose the most appropriate option.
A) 31 / 32 B) 7 / 8 C) 1 / 4 D) 1 / 8 E) 1 / 16 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) / 2</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/2) + (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(1/4) / 2</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(3/4) + (1/8)</gadget>
<output>7/8 = around 0.875</output>
<gadget id="calculator">(1/8) / 2</gadget>
<output>1/16 = around 0.0625</output>
<gadget id="calculator">(7/8) + (1/16)</gadget>
<output>15/16 = around 0.9375</output>
<gadget id="calculator">(1/16) / 2</gadget>
<output>1/32 = around 0.03125</output>
<gadget id="calculator">(15/16) + (1/32)</gadget>
<output>31/32 = around 0.96875</output>
<result>A</result> | A | 0.96875 | If 1/2 of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 5 strokes ? | {
"A": "31 / 32",
"B": "7 / 8",
"C": "1 / 4",
"D": "1 / 8",
"E": "1 / 16"
} | add(add(add(add(divide(1, 2), divide(divide(1, 2), 2)), divide(divide(divide(1, 2), 2), 2)), divide(divide(divide(divide(1, 2), 2), 2), 2)), divide(divide(divide(divide(divide(1, 2), 2), 2), 2), 2)) | divide(n0,n1)|divide(#0,n1)|add(#0,#1)|divide(#1,n1)|add(#2,#3)|divide(#3,n1)|add(#4,#5)|divide(#5,n1)|add(#6,#7) | left after 1 st stroke = 1 / 2 left after 2 nd stroke = 1 / 2 * 1 / 2 = 1 / 4 left after 3 rd stroke = 1 / 2 * 1 / 4 = 1 / 8 left after 4 th stroke = 1 / 2 * 1 / 8 = 1 / 16 left after 5 th stroke = 1 / 2 * 1 / 16 = 1 / 32 so removed = 1 - 1 / 32 = 31 / 32 | physics |
math_qa__C2pzVa8oMoH3bsBc | The average weight of 9 persons increases by 1.5 kg. If a person weighing 65 kg is replaced by a new person, what could be the weight of the new person?
Choose the correct answer:
A) 76 kg
B) 77 kg
C) 78.5 kg
D) data inadequate
E) none of these | <gadget id="calculator">9 * 1.5</gadget>
<output>13.5</output>
<gadget id="calculator">65 + 13.5</gadget>
<output>78.5</output>
<result>C</result> | C | 78.5 | The average weight of 9 persons increases by 1.5 kg. If a person weighing 65 kg is replaced by a new person, what could be the weight of the new person? | {
"A": "76 kg",
"B": "77 kg",
"C": "78.5 kg",
"D": "data inadequate",
"E": "none of these"
} | add(65, multiply(9, 1.5)) | multiply(n0,n1)|add(n2,#0)| | "total weight increases = 9 × 1.5 = 13.5 kg so the weight of new person = 65 + 13.5 = 78.5 kg answer c" | general |
math_qa__OSPSFjKyybVN9mw4 | Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1344? Choose the correct choice from the following answers: A) 1000 B) 2217 C) 1200 D) 2777 E) 2991 | <gadget id="calculator">2 * 5</gadget>
<output>10</output>
<gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">12 / 5</gadget>
<output>12/5 = around 2.4</output>
<gadget id="calculator">(12/5) * 5</gadget>
<output>12</output>
<gadget id="calculator">12 / 100</gadget>
<output>3/25 = around 0.12</output>
<gadget id="calculator">(3/25) + 1</gadget>
<output>28/25 = around 1.12</output>
<gadget id="calculator">1_344 / (28/25)</gadget>
<output>1_200</output>
<result>C</result> | C | 1,200 | Find the principle on a certain sum of money at 5% per annum for 2 2/5 years if the amount being Rs.1344? | {
"A": "1000",
"B": "2217",
"C": "1200",
"D": "2777",
"E": "2991"
} | divide(1344, add(divide(multiply(divide(add(multiply(2, 5), 2), 5), 5), const_100), const_1)) | multiply(n1,n3)|add(n1,#0)|divide(#1,n3)|multiply(n0,#2)|divide(#3,const_100)|add(#4,const_1)|divide(n4,#5)| | "1344 = p [ 1 + ( 5 * 12 / 5 ) / 100 ] p = 1200 answer : c" | general |
math_qa__8QY27uEB1VFs8Hou | There are 100 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of manager to 98%? Choose the most appropriate option
A) 1 B) 2 C) 50 D) 49 E) 97 | <gadget id="calculator">99 / 100</gadget>
<output>99/100 = around 0.99</output>
<gadget id="calculator">100 * (99/100)</gadget>
<output>99</output>
<gadget id="calculator">98 / 100</gadget>
<output>49/50 = around 0.98</output>
<gadget id="calculator">100 * (49/50)</gadget>
<output>98</output>
<gadget id="calculator">99 - 98</gadget>
<output>1</output>
<gadget id="calculator">1 - (49/50)</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">1 / (1/50)</gadget>
<output>50</output>
<result>C</result> | C | 50 | There are 100 employees in a room. 99% are managers. How many managers must leave the room to bring down the percentage of manager to 98%? | {
"A": "1",
"B": "2",
"C": "50",
"D": "49",
"E": "97"
} | divide(subtract(multiply(100, divide(99, const_100)), multiply(100, divide(98, const_100))), subtract(const_1, divide(98, const_100))) | divide(n1,const_100)|divide(n2,const_100)|multiply(n0,#0)|multiply(n0,#1)|subtract(const_1,#1)|subtract(#2,#3)|divide(#5,#4)| | "we have 99 managers and 1 director . that 1 director to compose 2 % of the total number of people , there must be 50 people in the room , hence 50 managers must leave . answer : c ." | gain |
math_qa__Ug3V5cGYzxrWR9q6 | How many 3 digit positive integers E exist that when divided by 7 leave a remainder of 5?
Choose the correct choice.
A) 128 B) 142 C) 143 D) 141 E) 129 | <gadget id="calculator">100 * 10</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 - 1</gadget>
<output>999</output>
<gadget id="calculator">10 + 4</gadget>
<output>14</output>
<gadget id="calculator">14 * 7</gadget>
<output>98</output>
<gadget id="calculator">98 + 5</gadget>
<output>103</output>
<gadget id="calculator">999 - 103</gadget>
<output>896</output>
<gadget id="calculator">896 / 7</gadget>
<output>128</output>
<result>E</result> | E | 129 | How many 3 digit positive integers E exist that when divided by 7 leave a remainder of 5? | {
"A": "128",
"B": "142",
"C": "143",
"D": "141",
"E": "129"
} | divide(subtract(subtract(multiply(const_100, const_10), const_1), add(multiply(add(const_10, const_4), 7), 5)), 7) | add(const_10,const_4)|multiply(const_10,const_100)|multiply(n1,#0)|subtract(#1,const_1)|add(n2,#2)|subtract(#3,#4)|divide(#5,n1)| | "minimum three digit number is 100 and maximum three digit number is 999 . the first three digit number that leaves remainder 5 when divided by 7 is 103 . 14 * 7 = 98 + 5 = 103 the second three digit number that leaves remainder 5 when divided by 7 is 110 . 15 * 7 = 105 + 5 = 110 the third three digit number that leaves remainder 5 when divided by 7 is 117 and so on the last three digit number that leaves remainder 5 when divided by 7 is 999 142 * 7 = 994 + 5 = 999 therefore , we identify the sequence 103 , 110,117 . . . . . 999 use the formula of last term last term = first term + ( n - 1 ) * common difference you will get the answer 129 that is definitely e ." | general |
math_qa__yx62SpKzC76VsvFK | 6.2 is what percent of 1000? Choose the correct choice from the following:
A) 62 % B) 6.2 % C) 0.62 % D) 0.062 % E) 0.0062 % | <gadget id="calculator">6.2 / 1_000</gadget>
<output>0.0062</output>
<gadget id="calculator">0.0062 * 100</gadget>
<output>0.62</output>
<result>C</result> | C | 0.62 | 6.2 is what percent of 1000? | {
"A": "62 %",
"B": "6.2 %",
"C": "0.62 %",
"D": "0.062 %",
"E": "0.0062 %"
} | multiply(divide(6.2, 1000), const_100) | divide(n0,n1)|multiply(#0,const_100)| | "10 % of 1000 is 100 . 6.2 is way less than 100 ( 10 % of 1000 ) . so it can not be 62 % of 1000 . eliminate option a 1 % of 1000 is 10 . 6.2 is less than 10 . so it cant be 6.2 % . eliminate option b ( 0.5 % ) i . e . half of 1 % of 1000 is 5 . but 6.2 is greater than 5 . . so it has to be greater than 0.5 % . . . hence answer is 0.62 % , answer : c" | gain |
math_qa__rL1cQGFZbtXAF9PL | A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 12 cm. What is the length of the wire? Choose the most appropriate option:
A) 6 cm B) 14 cm C) 16 cm D) 23 cm E) 29 cm | <gadget id="calculator">12 ** 3</gadget>
<output>1_728</output>
<gadget id="calculator">12 ** 2</gadget>
<output>144</output>
<gadget id="calculator">1_728 / 144</gadget>
<output>12</output>
<gadget id="calculator">4 * 12</gadget>
<output>48</output>
<gadget id="calculator">48 / 3</gadget>
<output>16</output>
<result>C</result> | C | 16 | A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 12 cm. What is the length of the wire? | {
"A": "6 cm",
"B": "14 cm",
"C": "16 cm",
"D": "23 cm",
"E": "29 cm"
} | divide(multiply(const_4, divide(power(12, const_3), power(12, const_2))), const_3) | power(n0,const_3)|power(n1,const_2)|divide(#0,#1)|multiply(#2,const_4)|divide(#3,const_3)| | "volume of the wire ( in cylindrical shape ) is equal to the volume of the sphere . π ( 12 ) ^ 2 * h = ( 4 / 3 ) π ( 12 ) ^ 3 = > h = 16 cm answer : c" | physics |
math_qa__GW6Y9B1TnJJ6aa8Y | A van takes 6 hours to cover a distance of 252 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time?
Choose the correct choice
A) 28 kmph B) 60 kmph C) 70 kmph D) 80 kmph E) 90 kmph | <gadget id="calculator">3 / 2</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">(3/2) * 6</gadget>
<output>9</output>
<gadget id="calculator">252 / 9</gadget>
<output>28</output>
<result>A</result> | A | 28 | A van takes 6 hours to cover a distance of 252 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? | {
"A": "28 kmph",
"B": "60 kmph",
"C": "70 kmph",
"D": "80 kmph",
"E": "90 kmph"
} | divide(252, multiply(divide(3, 2), 6)) | divide(n2,n3)|multiply(n0,#0)|divide(n1,#1)| | "time = 6 distence = 252 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 252 / 9 = 28 kmph a" | physics |
math_qa__O9bDwSj9I5RL5pB8 | 3x + y = 21 , and x + 3y = 1. Find the value of 2x + 2y Choose the correct choice from the following answers.
A) 20 B) 18 C) 16 D) 11 E) 5 | <gadget id="calculator">21 + 1</gadget>
<output>22</output>
<gadget id="calculator">22 / 2</gadget>
<output>11</output>
<result>D</result> | D | 11 | 3x + y = 21 , and x + 3y = 1. Find the value of 2x + 2y | {
"A": "20",
"B": "18",
"C": "16",
"D": "11",
"E": "5"
} | divide(add(21, 1), 2) | add(n1,n3)|divide(#0,n5)| | "add these two equations 4 x + 4 y = 22 divide by 2 ( to get 2 x + 2 y ) answer will be d . 11" | general |
math_qa__xw7jWuHY1Bm8C9db | X can finish a work in 20 days. Y can finish the same work in 15 days. Yworked for 9 days and left the job. how many days does X alone need to finish the remaining work? Choices
A) 3 B) 5 C) 6 D) 8 E) 9 | <gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">9 * (1/15)</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 - (3/5)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(2/5) / (1/20)</gadget>
<output>8</output>
<result>D</result> | D | 8 | X can finish a work in 20 days. Y can finish the same work in 15 days. Yworked for 9 days and left the job. how many days does X alone need to finish the remaining work? | {
"A": "3",
"B": "5",
"C": "6",
"D": "8",
"E": "9"
} | divide(subtract(const_1, multiply(9, divide(const_1, 15))), divide(const_1, 20)) | divide(const_1,n1)|divide(const_1,n0)|multiply(n2,#0)|subtract(const_1,#2)|divide(#3,#1)| | "work done by x in 1 day = 1 / 20 work done by y in 1 day = 1 / 15 work done by y in 9 days = 9 / 15 = 3 / 5 remaining work = 1 – 3 / 5 = 2 / 5 number of days in which x can finish the remaining work = ( 2 / 5 ) / ( 1 / 20 ) = 8 d" | physics |
math_qa__MmJgSYZmweJC2m9Z | Thomas worked in the factory @ 4550/- per week.
Owner told him to give the amount after one month. Then how much amount will be paid to Thomas ? Choose the correct choice from the following choices
A) 9500 B) 17500 C) 18200 D) 19500 E) 6750 | <gadget id="calculator">100 * 10</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 * 10</gadget>
<output>10_000</output>
<gadget id="calculator">4_550 * 2</gadget>
<output>9_100</output>
<gadget id="calculator">10_000 + 9_100</gadget>
<output>19_100</output>
<gadget id="calculator">100 * 4</gadget>
<output>400</output>
<gadget id="calculator">19_100 + 400</gadget>
<output>19_500</output>
<result>D</result> | D | 19,500 | Thomas worked in the factory @ 4550/- per week.
Owner told him to give the amount after one month. Then how much amount will be paid to Thomas ? | {
"A": "9500",
"B": "17500",
"C": "18200",
"D": "19500",
"E": "6750"
} | add(add(multiply(multiply(const_100, const_10), const_10), multiply(4550, const_2)), multiply(const_100, const_4)) | multiply(const_10,const_100)|multiply(n0,const_2)|multiply(const_100,const_4)|multiply(#0,const_10)|add(#3,#1)|add(#4,#2) | total salary paid to thomas in one week : 4550 / - salary for one day : 4550 / 7 = 650 / - total for one month = 650 / - * 30 days = 19500 / - answer is option ( d ) | general |
math_qa__VB3ewKyzlkLffP6p | In the first 10 overs of a cricket game, the run rate was only 3.6. What should be the run rate in the remaining 40 overs to reach the target of 282 runs? Choose the correct choice from the following.
A) 6.25 B) 6.5 C) 6.15 D) 7 E) 8 | <gadget id="calculator">10 * 3.6</gadget>
<output>36</output>
<gadget id="calculator">282 - 36</gadget>
<output>246</output>
<gadget id="calculator">246 / 40</gadget>
<output>123/20 = around 6.15</output>
<result>C</result> | C | 6.15 | In the first 10 overs of a cricket game, the run rate was only 3.6. What should be the run rate in the remaining 40 overs to reach the target of 282 runs? | {
"A": "6.25",
"B": "6.5",
"C": "6.15",
"D": "7",
"E": "8"
} | divide(subtract(282, multiply(10, 3.6)), 40) | multiply(n0,n1)|subtract(n3,#0)|divide(#1,n2)| | "10 overs - run rate = 3.6 runs scored in first 10 overs = 36 remaining overs 40 total runs to be scored = 282 32 runs already scored 282 - 36 = 246 246 runs to be scored in 40 overs let required runrate be x 40 * x = 246 x = 246 / 40 x = 6.15 the required runrate is 6.15 answer : c" | gain |
math_qa__43cb1umNN06mN1Er | In a tree, 3/5 of the birds are parrots while the rest are toucans. If 1/3 of the parrots are female and 3/4 of the toucans are female, what fraction of the birds in the tree are male? Choose the correct choice
A) 1 / 2 B) 2 / 5 C) 3 / 5 D) 3 / 10 E) 7 / 10 | <gadget id="calculator">3 / 5</gadget>
<output>3/5 = around 0.6</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">1 - (1/3)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(3/5) * (2/3)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 - (3/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(2/5) * (1/4)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(2/5) + (1/10)</gadget>
<output>1/2 = around 0.5</output>
<result>A</result> | A | 0.5 | In a tree, 3/5 of the birds are parrots while the rest are toucans. If 1/3 of the parrots are female and 3/4 of the toucans are female, what fraction of the birds in the tree are male? | {
"A": "1 / 2",
"B": "2 / 5",
"C": "3 / 5",
"D": "3 / 10",
"E": "7 / 10"
} | add(multiply(divide(3, 5), subtract(const_1, divide(1, 3))), multiply(divide(const_2, 5), subtract(const_1, divide(3, 4)))) | divide(n0,n1)|divide(n2,n0)|divide(const_2,n1)|divide(n0,n5)|subtract(const_1,#1)|subtract(const_1,#3)|multiply(#0,#4)|multiply(#2,#5)|add(#6,#7) | the fraction of birds that are male parrots is ( 2 / 3 ) ( 3 / 5 ) = 2 / 5 . the fraction of birds that are male toucans is ( 1 / 4 ) ( 2 / 5 ) = 1 / 10 . the total fraction of male birds is 2 / 5 + 1 / 10 = 1 / 2 . the answer is a . | general |
math_qa__fmLw1xzZAemN9qHU | A coin is tossed 6 times. What is the probability of getting exactly 5 heads? Pick:
A) 3 / 8 B) 3 / 16 C) 5 / 16 D) 3 / 32 E) 7 / 64 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) ** 5</gadget>
<output>1/32 = around 0.03125</output>
<gadget id="calculator">binomial(6, 5)</gadget>
<output>6</output>
<gadget id="calculator">6 * (1/2)</gadget>
<output>3</output>
<gadget id="calculator">(1/32) * 3</gadget>
<output>3/32 = around 0.09375</output>
<result>D</result> | D | 0.09375 | A coin is tossed 6 times. What is the probability of getting exactly 5 heads? | {
"A": "3 / 8",
"B": "3 / 16",
"C": "5 / 16",
"D": "3 / 32",
"E": "7 / 64"
} | multiply(power(divide(const_1, const_2), 5), multiply(choose(6, 5), divide(const_1, const_2))) | choose(n0,n1)|divide(const_1,const_2)|multiply(#0,#1)|power(#1,n1)|multiply(#2,#3)| | "the number of possible outcomes is 2 ^ 6 = 64 there are 6 ways to get exactly 5 heads . p ( exactly 5 heads ) = 6 / 64 = 3 / 32 the answer is d ." | probability |
math_qa__QN405faz1mo2U1kM | At a supermarket, John spent 1/4 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/6 on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?
Pick one:
A) $ 24 B) $ 80 C) $ 90 D) $ 120 E) $ 180 | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/6) + (1/3)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/2) + (1/4)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 - (3/4)</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">6 / (1/4)</gadget>
<output>24</output>
<result>A</result> | A | 24 | At a supermarket, John spent 1/4 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/6 on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket? | {
"A": "$ 24",
"B": "$ 80",
"C": "$ 90",
"D": "$ 120",
"E": "$ 180"
} | divide(6, subtract(1, add(add(divide(1, 6), divide(1, 3)), divide(1, 4)))) | divide(n0,n5)|divide(n0,n3)|divide(n0,n1)|add(#0,#1)|add(#3,#2)|subtract(n0,#4)|divide(n6,#5)| | "let ' s let t = total number of dollars spent at the supermarket . with this variable we can set up an equation and determine t . we are given that john spent 1 / 4 of his money on fresh fruits and vegetables , or ( 1 / 4 ) t , 1 / 3 on meat products , or ( 1 / 3 ) t , and 1 / 6 on bakery products , or ( 1 / 6 ) t . we are also given that he spent the remaining $ 6 on candy . since we know where all his money was allocated , we can sum these values together and set the sum to t . so we have : ( 1 / 4 ) t + ( 1 / 3 ) t + ( 1 / 6 ) t + 6 = t to get rid of the fractions we can multiply the entire equation by 12 , and we obtain : 3 t + 4 t + 2 t + 72 = 12 t 9 t + 72 = 12 t 72 = 3 t t = 24 john spent $ 24 at the supermarket . answer : a" | general |
math_qa__2sVNOlQbYc5Y7k5W | A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 13 multiples of 14, how many multiples of 7 are there in Q?
Options: A) 23 B) 24 C) 25 D) 26 E) 27 | <gadget id="calculator">13 * 2</gadget>
<output>26</output>
<gadget id="calculator">26 - 1</gadget>
<output>25</output>
<result>C</result> | C | 25 | A and B are two multiples of 14, and Q is the set of consecutive integers between A and B, inclusive. If Q contains 13 multiples of 14, how many multiples of 7 are there in Q? | {
"A": "23",
"B": "24",
"C": "25",
"D": "26",
"E": "27"
} | subtract(multiply(13, const_2), const_1) | multiply(n1,const_2)|subtract(#0,const_1) | halfway between the multiples of 14 , there will be another multiple of 7 . the total number of multiples of 7 is 13 + 12 = 25 . the answer is c . | physics |
math_qa__eCqLSbJtwDpfUR8E | The population of a bacteria colony doubles every day. If it was started 6 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today?
Choose the correct option.
A) 512 B) 768 C) 1024 D) 2048 E) 128 | <gadget id="calculator">6 + 1</gadget>
<output>7</output>
<gadget id="calculator">2 ** 7</gadget>
<output>128</output>
<gadget id="calculator">128 - 1</gadget>
<output>127</output>
<result>E</result> | E | 128 | The population of a bacteria colony doubles every day. If it was started 6 days ago with 2 bacteria and each bacteria lives for 12 days, how large is the colony today? | {
"A": "512",
"B": "768",
"C": "1024",
"D": "2048",
"E": "128"
} | subtract(power(2, add(6, const_1)), const_1) | add(n0,const_1)|power(n1,#0)|subtract(#1,const_1)| | "2 ^ 6 ( 2 ) = 2 ^ 7 = 128 the answer is e ." | physics |
math_qa__LJH4FLWMWFxeHJxA | In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was: Choices:
A) 2800
B) 2700
C) 2900
D) 2200
E) 2300 | <gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 - (1/5)</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">55 / 100</gadget>
<output>11/20 = around 0.55</output>
<gadget id="calculator">1 - (11/20)</gadget>
<output>9/20 = around 0.45</output>
<gadget id="calculator">(4/5) * (9/20)</gadget>
<output>9/25 = around 0.36</output>
<gadget id="calculator">(9/25) * 7_500</gadget>
<output>2_700</output>
<result>B</result> | B | 2,700 | In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was: | {
"A": "2800",
"B": "2700",
"C": "2900",
"D": "2200",
"E": "2300"
} | multiply(multiply(subtract(const_1, divide(20, const_100)), subtract(const_1, divide(55, const_100))), 7500) | divide(n1,const_100)|divide(n0,const_100)|subtract(const_1,#0)|subtract(const_1,#1)|multiply(#2,#3)|multiply(n2,#4)| | "b number of valid votes = 80 % of 7500 = 6000 . valid votes polled by other candidate = 45 % of 6000 = ( 45 / 100 x 6000 ) = 2700 ." | gain |
math_qa__ASO6gQnq3W57pHg7 | The credit card and a global payment processing companies have been suffering losses for some time now. A well known company recently announced its quarterly results. According to the results, the revenue fell to $48.0 billion from $85.0 billion, a year ago. By what percent did the revenue fall? Choose the correct choice from the following choices:
A) 20.8
B) 30.4
C) 43.5
D) 32.5
E) 33.8 | <gadget id="calculator">85 - 48</gadget>
<output>37</output>
<gadget id="calculator">37 / 85</gadget>
<output>37/85 = around 0.435294</output>
<gadget id="calculator">(37/85) * 100</gadget>
<output>740/17 = around 43.529412</output>
<result>C</result> | C | 43.5 | The credit card and a global payment processing companies have been suffering losses for some time now. A well known company recently announced its quarterly results. According to the results, the revenue fell to $48.0 billion from $85.0 billion, a year ago. By what percent did the revenue fall? | {
"A": "20.8",
"B": "30.4",
"C": "43.5",
"D": "32.5",
"E": "33.8"
} | multiply(divide(subtract(85, 48), 85), const_100) | subtract(n1,n0)|divide(#0,n1)|multiply(#1,const_100) | $ 85 - $ 48 = 37 $ ( 37 / 85 ) * 100 = 43.5 % answer : c | gain |
math_qa__XvrlaUID0RA3fY1T | 10^23-7 is divided by 6, remainder is? Choose the correct choice from the following answers.
A) 3 B) 4 C) 5 D) 6 E) 7 | <gadget id="calculator">23 - 10</gadget>
<output>13</output>
<gadget id="calculator">13 - 6</gadget>
<output>7</output>
<gadget id="calculator">7 - 4</gadget>
<output>3</output>
<result>A</result> | A | 3 | 10^23-7 is divided by 6, remainder is? | {
"A": "3",
"B": "4",
"C": "5",
"D": "6",
"E": "7"
} | subtract(subtract(subtract(23, 10), 6), const_4) | subtract(n1,n0)|subtract(#0,n3)|subtract(#1,const_4) | anything power by 10 we got 10 and some zeros after that . ( i . e , 1000000000000000 . . . . ) on that , we minus 7 means , we must get last two digits is 93 . and 93 is divided by 6 , we get reminder 3 . answer : a | general |
math_qa__LQ9dPQBSX8QhB5GZ | In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 110 marks, the no of questions he attempts correctly is : Options: A) 34 B) 38 C) 40 D) 42 E) 44 | <gadget id="calculator">110 + 60</gadget>
<output>170</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">170 / 5</gadget>
<output>34</output>
<result>A</result> | A | 34 | In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 110 marks, the no of questions he attempts correctly is : | {
"A": "34",
"B": "38",
"C": "40",
"D": "42",
"E": "44"
} | divide(add(110, 60), add(4, 1)) | add(n2,n3)|add(n0,n1)|divide(#0,#1)| | "explanation : let the number of correct answers be x . number of incorrect answers = ( 60 – x ) . 4 x – ( 60 – x ) = 110 = > 5 x = 170 = > x = 34 answer : a" | physics |
math_qa__tAAVyWUuUILeGWsy | When a student Joe, weighing 45 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. Subsequently, if two students, excluding Joe, leave the group the average weight comes back to 30 kg. What is the difference between the average weight of the two students who left and the weight of Joe? Answers:
A) 7.5 kg
B) 11 kg
C) 30 kg
D) 36.5 kg
E) 71 kg | <gadget id="calculator">30 + 1</gadget>
<output>31</output>
<gadget id="calculator">45 - 31</gadget>
<output>14</output>
<gadget id="calculator">30 * 14</gadget>
<output>420</output>
<gadget id="calculator">420 + 45</gadget>
<output>465</output>
<gadget id="calculator">14 - 1</gadget>
<output>13</output>
<gadget id="calculator">13 * 30</gadget>
<output>390</output>
<gadget id="calculator">465 - 390</gadget>
<output>75</output>
<gadget id="calculator">75 / 2</gadget>
<output>75/2 = around 37.5</output>
<gadget id="calculator">45 - (75/2)</gadget>
<output>15/2 = around 7.5</output>
<result>A</result> | A | 7.5 | When a student Joe, weighing 45 kg, joins a group of students whose average weight is 30 kg, the average weight goes up by 1 kg. Subsequently, if two students, excluding Joe, leave the group the average weight comes back to 30 kg. What is the difference between the average weight of the two students who left and the weight of Joe? | {
"A": "7.5 kg",
"B": "11 kg",
"C": "30 kg",
"D": "36.5 kg",
"E": "71 kg"
} | subtract(45, divide(subtract(add(multiply(30, subtract(45, add(30, 1))), 45), multiply(subtract(subtract(45, add(30, 1)), 1), 30)), const_2)) | add(n1,n2)|subtract(n0,#0)|multiply(n1,#1)|subtract(#1,n2)|add(n0,#2)|multiply(n1,#3)|subtract(#4,#5)|divide(#6,const_2)|subtract(n0,#7)| | "after two persons leave the group the average remains the same . that means the weight of the two persons = 45 + 30 = 75 so , the average the two persons = 37.5 that gives the answer 45 - 37.5 = 7.5 answer a" | general |
math_qa__Pg0S9DxasWjKTfcf | If neha is 10
Both Sonali and priyanka is 15
Both sadaf and tanu is 10.
how much is prinka by the same system ? Choose the correct option:
A) 8 B) 11 C) 10 D) 15 E) 6 | <gadget id="calculator">15 - 10</gadget>
<output>5</output>
<gadget id="calculator">5 * 2</gadget>
<output>10</output>
<result>C</result> | C | 10 | If neha is 10
Both Sonali and priyanka is 15
Both sadaf and tanu is 10.
how much is prinka by the same system ? | {
"A": "8",
"B": "11",
"C": "10",
"D": "15",
"E": "6"
} | multiply(subtract(15, 10), const_2) | subtract(n1,n0)|multiply(#0,const_2) | c prinka is 10 , in a system that awards five for each vowel . | other |
math_qa__RSSs3gEIEYOPABdg | If (A+B) = 14, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)?
Pick.
A) 16 . B) 8 . C) 7 . D) 2 . E) - 2 . | <gadget id="calculator">14 + 3</gadget>
<output>17</output>
<gadget id="calculator">17 - 9</gadget>
<output>8</output>
<result>B</result> | B | 8 | If (A+B) = 14, (B+C) = 9 and (C+D) = 3, what is the value of (A+D)? | {
"A": "16 .",
"B": "8 .",
"C": "7 .",
"D": "2 .",
"E": "- 2 ."
} | subtract(add(14, 3), 9) | add(n0,n2)|subtract(#0,n1)| | "given a + b = 14 = > a = 14 - b - - > eq 1 b + c = 9 c + d = 3 = > d = 3 - c - - > eq 2 then eqs 1 + 2 = > a + d = 14 - b + 3 - c = > 17 - ( b + c ) = > 17 - 9 = 8 . option b . . ." | general |
math_qa__5XIiKwO0uA72fUVu | During a sale, the price of a pair of shoes is marked down 13% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes?
Choose the correct choice from the following options
A) 9 %
B) 10 %
C) 11 %
D) 15 %
E) 90 % | <gadget id="calculator">13 * 100</gadget>
<output>1_300</output>
<gadget id="calculator">100 - 13</gadget>
<output>87</output>
<gadget id="calculator">1_300 / 87</gadget>
<output>1_300/87 = around 14.942529</output>
<result>D</result> | D | 15 | During a sale, the price of a pair of shoes is marked down 13% from the regular price. After the sale ends, the price goes back to the original price. What is the percent of increase to the nearest percent from the sale price back to the regular price for the shoes? | {
"A": "9 %",
"B": "10 %",
"C": "11 %",
"D": "15 %",
"E": "90 %"
} | divide(multiply(13, const_100), subtract(const_100, 13)) | multiply(n0,const_100)|subtract(const_100,n0)|divide(#0,#1)| | "assume the price = 100 price during sale = 87 price after sale = 100 percent increase = 13 / 87 * 100 = 15 % approx . correct option : d" | gain |
math_qa__vGRUluaRnx39btGq | Machine A can process 6000 envelopes in 3 hours. Machines B and C working together but independently can process the same number of envelopes in 2.5 hours. If Machines A and C working together but independently process 3000 envelopes in 1 hour, then how many hours would it take Machine B to process 4200 envelopes. Choices.
A) 2 B) 3 C) 4 D) 6 E) 60 / 7 | <gadget id="calculator">6_000 / 2.5</gadget>
<output>2_400</output>
<gadget id="calculator">3_000 / 1</gadget>
<output>3_000</output>
<gadget id="calculator">6_000 / 3</gadget>
<output>2_000</output>
<gadget id="calculator">3_000 - 2_000</gadget>
<output>1_000</output>
<gadget id="calculator">2_400 - 1_000</gadget>
<output>1_400</output>
<gadget id="calculator">4_200 / 1_400</gadget>
<output>3</output>
<result>B</result> | B | 3 | Machine A can process 6000 envelopes in 3 hours. Machines B and C working together but independently can process the same number of envelopes in 2.5 hours. If Machines A and C working together but independently process 3000 envelopes in 1 hour, then how many hours would it take Machine B to process 4200 envelopes. | {
"A": "2",
"B": "3",
"C": "4",
"D": "6",
"E": "60 / 7"
} | divide(4200, subtract(divide(6000, 2.5), subtract(divide(3000, 1), divide(6000, 3)))) | divide(n0,n2)|divide(n3,n4)|divide(n0,n1)|subtract(#1,#2)|subtract(#0,#3)|divide(n5,#4)| | "you can either take the amount of work done as the same as karishma has done or take the work done by each in the same time . i will do the latter 1 . work done in 1 hr by a is 2000 envelopes 2 . work done in 1 hr by a and c is 3000 envelopes 3 . so work done in 1 hr by c is 1000 envelopes 4 . work done in 1 hr by b and c is 2400 envelopes 5 . so work done in 1 hr by b is 1400 envelopes 6 . so to process 4200 envelopes b will take 4200 / 1400 hrs = 3 hrs so the answer is choice b" | physics |
math_qa__OI1ymFNL9CI3yN0F | The average weight of 8 persons increases by 4.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ? Pick.
A) 75 kg B) 65 kg C) 55 kg D) 85 kg E) 101 kg | <gadget id="calculator">8 * 4.5</gadget>
<output>36</output>
<gadget id="calculator">65 + 36</gadget>
<output>101</output>
<result>E</result> | E | 101 | The average weight of 8 persons increases by 4.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person ? | {
"A": "75 kg",
"B": "65 kg",
"C": "55 kg",
"D": "85 kg",
"E": "101 kg"
} | add(65, multiply(8, 4.5)) | multiply(n0,n1)|add(n2,#0)| | "total weight increased = ( 8 x 4.5 ) kg = 36 kg . weight of new person = ( 65 + 36 ) kg = 101 kg . answer : e" | general |
math_qa__WCIzeRR88UeHw01H | If the average (arithmetic mean) of a and b is 45 and the average of b and c is 60, what is the value of c − a?
Choose the correct choice.
A) 25 B) 30 C) 90 D) 140 E) it can not be determined from the information given | <gadget id="calculator">60 * 2</gadget>
<output>120</output>
<gadget id="calculator">45 * 2</gadget>
<output>90</output>
<gadget id="calculator">120 - 90</gadget>
<output>30</output>
<result>B</result> | B | 30 | If the average (arithmetic mean) of a and b is 45 and the average of b and c is 60, what is the value of c − a? | {
"A": "25",
"B": "30",
"C": "90",
"D": "140",
"E": "it can not be determined from the information given"
} | subtract(multiply(60, const_2), multiply(45, const_2)) | multiply(n1,const_2)|multiply(n0,const_2)|subtract(#0,#1)| | "the arithmetic mean of a and b = ( a + b ) / 2 = 45 - - a + b = 90 - - 1 similarly for b + c = 120 - - 2 subtracting 1 from 2 we have c - a = 30 ; answer : b" | general |
math_qa__xklTQ2xGm8wYvIk0 | A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? Select the correct option:
A) 9 B) 10 C) 12 D) 14 E) 16 | <gadget id="calculator">6 + 8</gadget>
<output>14</output>
<gadget id="calculator">14 - 5</gadget>
<output>9</output>
<result>A</result> | A | 9 | A certain family has 3 sons: Richard is 6 years older than David, and David is 8 years older than Scott. If in 8 years, Richard will be twice as old as Scott, then how old was David 5 years ago? | {
"A": "9",
"B": "10",
"C": "12",
"D": "14",
"E": "16"
} | subtract(add(6, 8), 5) | add(n1,n2)|subtract(#0,n4)| | "let ' s say age of richard isr age of david isd age of scott iss now richard is 6 years older than david , i . e . r = d + 6 david is 8 years older than scott i . e . d = s + 8 if in 8 years , richard will be twice as old as scott i . e . r + 8 = 2 x ( s + 8 ) i . e . r + 8 = 2 s + 16 i . e . r = 2 s + 8 but r = d + 6 = ( s + 8 ) + 6 = s + 14 therefore , 2 s + 8 = s + 14 i . e . s = 6 i . e . r = 20 i . e . d = 14 now , how old was david 5 years ago ? i . e . d - 5 = 14 - 5 = 9 years answer : option a" | general |
math_qa__tl9SjeLZ9lyK6V8A | Jill has 42 gallons of water stored in quart, half-gallon, and one gallon jars. She has equal numbers of each size jar holding the liquid. What is the total number of water filled jars?
Choose the correct answer.
A) 3 B) 6 C) 9 D) 72 E) 14 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/4) + (1/2)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">1 + (3/4)</gadget>
<output>7/4 = around 1.75</output>
<gadget id="calculator">42 / (7/4)</gadget>
<output>24</output>
<gadget id="calculator">24 * 3</gadget>
<output>72</output>
<result>D</result> | D | 72 | Jill has 42 gallons of water stored in quart, half-gallon, and one gallon jars. She has equal numbers of each size jar holding the liquid. What is the total number of water filled jars? | {
"A": "3",
"B": "6",
"C": "9",
"D": "72",
"E": "14"
} | multiply(divide(42, add(const_1, add(const_0_25, divide(const_1, const_2)))), const_3) | divide(const_1,const_2)|add(#0,const_0_25)|add(#1,const_1)|divide(n0,#2)|multiply(#3,const_3)| | let the number of each size of jar = wthen 1 / 4 w + 1 / 2 w + w = 42 1 3 / 4 w = 42 w = 24 the total number of jars = 3 w = 72 answer : d | general |
math_qa__7lRI8YxNnvDiK8dF | A sum of money becomes 7/6 of itself in 4 years at a certain rate of simple interest. The rate per annum is? Select.
A) 25 / 6 B) 5 5 / 7 C) 5 5 / 2 D) 5 5 / 8 E) 5 5 / 1 | <gadget id="calculator">7 / 6</gadget>
<output>7/6 = around 1.166667</output>
<gadget id="calculator">(7/6) - 1</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/6) / 4</gadget>
<output>1/24 = around 0.041667</output>
<gadget id="calculator">(1/24) * 100</gadget>
<output>25/6 = around 4.166667</output>
<result>A</result> | A | 4.166667 | A sum of money becomes 7/6 of itself in 4 years at a certain rate of simple interest. The rate per annum is? | {
"A": "25 / 6",
"B": "5 5 / 7",
"C": "5 5 / 2",
"D": "5 5 / 8",
"E": "5 5 / 1"
} | multiply(divide(subtract(divide(7, 6), const_1), 4), const_100) | divide(n0,n1)|subtract(#0,const_1)|divide(#1,n2)|multiply(#2,const_100) | let sum = x . then , amount = 7 x / 6 s . i . = 7 x / 6 - x = x / 6 ; time = 4 years . rate = ( 100 * x ) / ( x * 6 * 4 ) = 25 / 6 % . answer : a | gain |
math_qa__UWqPg2OxJnp4KHdr | of the 3 - digit integers greater than 700 , how many have distinct digits ?
Choose one:
A) 216
B) 82
C) 80
D) 45
E) 36 | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">3 * 9</gadget>
<output>27</output>
<gadget id="calculator">10 - 2</gadget>
<output>8</output>
<gadget id="calculator">27 * 8</gadget>
<output>216</output>
<result>A</result> | A | 216 | of the 3 - digit integers greater than 700 , how many have distinct digits ? | {
"A": "216",
"B": "82",
"C": "80",
"D": "45",
"E": "36"
} | multiply(multiply(3, subtract(const_10, const_1)), subtract(const_10, const_2)) | subtract(const_10,const_1)|subtract(const_10,const_2)|multiply(n0,#0)|multiply(#2,#1) | three digit number can have only following 3 patterns : a . all digits are distinct ; b . two digits are alike and third is different ; c . all three digits are alike . we need to calculate b . b = total - a - c total numbers from 700 to 999 = 299 ( 3 - digit numbers greater than 700 ) ; a . all digits are distinct = 3 * 9 * 8 = 216 answer : a | general |
math_qa__dEtFfIj7yWuenxxE | A can finish a work in 9 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work? Options.
A) 3 B) 5 1 / 2 C) 6 D) 8 E) none of these | <gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">(1/15) * 10</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">(2/3) * 9</gadget>
<output>6</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<result>A</result> | A | 3 | A can finish a work in 9 days and B can do the same work in 15 days. B worked for 10 days and left the job. In how many days, A alone can finish the remaining work? | {
"A": "3",
"B": "5 1 / 2",
"C": "6",
"D": "8",
"E": "none of these"
} | divide(multiply(multiply(divide(const_1, 15), 10), 9), const_2) | divide(const_1,n1)|multiply(n2,#0)|multiply(n0,#1)|divide(#2,const_2)| | "b ' s 10 day ' s work = ( 1 / 15 * 10 ) = 2 / 3 remaining work = ( 1 - 2 / 3 ) = 1 / 3 now , 1 / 18 work is done by a in 1 day 1 / 3 work is done by a in ( 9 * 1 / 3 ) = 3 days . correct option : a" | physics |
math_qa__zlzTJiOa0VajktbF | A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be Choose the correct choice from the following answers:
A) 7744 B) 8844 C) 5544 D) 4444 E) 3444 | <gadget id="calculator">2 * pi * 56</gadget>
<output>112*pi = around 351.858377</output>
<gadget id="calculator">(112*pi) / 4</gadget>
<output>28*pi = around 87.964594</output>
<gadget id="calculator">(28*pi) ** 2</gadget>
<output>784*pi**2 = around 7_737.76985</output>
<result>A</result> | A | 7,744 | A wire can be bent in the form of a circle of radius 56cm. If it is bent in the form of a square, then its area will be | {
"A": "7744",
"B": "8844",
"C": "5544",
"D": "4444",
"E": "3444"
} | power(divide(circumface(56), const_4), const_2) | circumface(n0)|divide(#0,const_4)|power(#1,const_2)| | "length of wire = 2 pier = 2 * ( 22 / 7 ) * 56 = 352 cm side of the square = 352 / 4 = 88 cm area of the square = 88 * 88 = 7744 sq cm answer : a" | geometry |
math_qa__8E7l7Y8Ysc4opCwF | If 2994 ÷ 14.5 = 173, then 29.94 ÷ 1.45 = ? Choose the correct option.
A) 17.1 B) 17.3 C) 17.5 D) 17.7 E) 17.2 | <gadget id="calculator">14.5 / 1.45</gadget>
<output>10</output>
<gadget id="calculator">173 / 10</gadget>
<output>173/10 = around 17.3</output>
<result>B</result> | B | 17.3 | If 2994 ÷ 14.5 = 173, then 29.94 ÷ 1.45 = ? | {
"A": "17.1",
"B": "17.3",
"C": "17.5",
"D": "17.7",
"E": "17.2"
} | divide(173, divide(14.5, 1.45)) | divide(n1,n4)|divide(n2,#0)| | "29.94 / 1.45 = 299.4 / 14.5 = ( 2994 / 14.5 ) x 1 / 10 ) [ here , substitute 173 in the place of 2994 / 14.5 ] = 173 / 10 = 17.3 answer is b ." | general |
math_qa__S655WNwDXVADfrqm | In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 262 runs? Choose the correct choice from the following:
A) 6.25
B) 6.22
C) 6.29
D) 5.75
E) 6.13 | <gadget id="calculator">10 * 3.2</gadget>
<output>32</output>
<gadget id="calculator">262 - 32</gadget>
<output>230</output>
<gadget id="calculator">230 / 40</gadget>
<output>23/4 = around 5.75</output>
<result>D</result> | D | 5.75 | In the first 10 overs of a cricket game, the run rate was only 3.2. What should be the rate in the remaining 40 overs to reach the target of 262 runs? | {
"A": "6.25",
"B": "6.22",
"C": "6.29",
"D": "5.75",
"E": "6.13"
} | divide(subtract(262, multiply(10, 3.2)), 40) | multiply(n0,n1)|subtract(n3,#0)|divide(#1,n2)| | "required run rate = [ 262 - ( 3.2 * 10 ) ] / 40 = 230 / 40 = 5.75 answer : d" | gain |
math_qa__9gS11xMWIshCHiS9 | Two pipes can fill a tank in 18 minutes and 60 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank? Choices
A) 1 / 15 B) 1 / 16 C) 1 / 20 D) 1 / 10 E) 1 / 12 | <gadget id="calculator">1 / 18</gadget>
<output>1/18 = around 0.055556</output>
<gadget id="calculator">1 / 60</gadget>
<output>1/60 = around 0.016667</output>
<gadget id="calculator">(1/18) + (1/60)</gadget>
<output>13/180 = around 0.072222</output>
<gadget id="calculator">1 / 45</gadget>
<output>1/45 = around 0.022222</output>
<gadget id="calculator">(13/180) - (1/45)</gadget>
<output>1/20 = around 0.05</output>
<result>C</result> | C | 0.05 | Two pipes can fill a tank in 18 minutes and 60 minutes. An outlet pipe can empty the tank in 45 minutes. If all the pipes are opened when the tank is empty, then how many minutes will it take to fill the tank? | {
"A": "1 / 15",
"B": "1 / 16",
"C": "1 / 20",
"D": "1 / 10",
"E": "1 / 12"
} | subtract(add(divide(const_1, 18), divide(const_1, 60)), divide(const_1, 45)) | divide(const_1,n0)|divide(const_1,n1)|divide(const_1,n2)|add(#0,#1)|subtract(#3,#2)| | "part of the filled by all the three pipes in one minute = 1 / 18 + 1 / 60 - 1 / 45 = 1 / 20 so , the tank becomes full in 20 minutes . answer : c" | physics |
math_qa__AQvewWpusNUCPPF6 | In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 400 newborn members of the population, approximately how many would be expected to survive the first 3 months of life? Choose the correct answer
A) 240
B) 246
C) 252
D) 292
E) 298 | <gadget id="calculator">1 / 10</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">400 * (9/10)</gadget>
<output>360</output>
<gadget id="calculator">360 * (9/10)</gadget>
<output>324</output>
<gadget id="calculator">324 * (9/10)</gadget>
<output>1_458/5 = around 291.6</output>
<result>D</result> | D | 292 | In a certain animal population, for each of the first 3 months of life, the probability that an animal will die during that month is 1/10. For a group of 400 newborn members of the population, approximately how many would be expected to survive the first 3 months of life? | {
"A": "240",
"B": "246",
"C": "252",
"D": "292",
"E": "298"
} | multiply(multiply(multiply(400, subtract(1, divide(1, 10))), subtract(1, divide(1, 10))), subtract(1, divide(1, 10))) | divide(n1,n2)|subtract(n1,#0)|multiply(n3,#1)|multiply(#2,#1)|multiply(#3,#1)| | "number of newborns that can die in first month = 1 / 10 * 400 = 40 survived = 360 number of newborns that can die in second month = 1 / 10 * 360 = 36 survived = 324 number of newborns that can die in third month = 1 / 10 * 324 = 32 survived = 292 answer : d" | probability |
math_qa__5LYZXh1jrq4AlVvM | The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/50 of the area of the field. What is the length of the field? Choices: A) 73 B) 32 C) 34 D) 43 E) 80 | <gadget id="calculator">8 ** 2</gadget>
<output>64</output>
<gadget id="calculator">64 * 50</gadget>
<output>3_200</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">3_200 / (1/2)</gadget>
<output>6_400</output>
<gadget id="calculator">6_400 ** (1/2)</gadget>
<output>80</output>
<result>E</result> | E | 80 | The length of the rectangular field is double its width. Inside the field there is square shaped pond 8m long. If the area of the pond is 1/50 of the area of the field. What is the length of the field? | {
"A": "73",
"B": "32",
"C": "34",
"D": "43",
"E": "80"
} | sqrt(divide(multiply(square_area(8), 50), inverse(const_2))) | inverse(const_2)|square_area(n0)|multiply(n2,#1)|divide(#2,#0)|sqrt(#3)| | "explanation : a / 50 = 8 * 8 = > a = 8 * 8 * 50 x * 2 x = 8 * 8 * 50 x = 40 = > 2 x = 80 answer : option e" | geometry |
math_qa__B2O84V4ttwc3FkK8 | A fill pipe can fill 2/3 of cistern in 40 minutes in how many minutes, it can fill full of the cistern? Choose the correct choice from the following options:
A) 60 min
B) 36 min
C) 25 min
D) 30 min
E) 50 min | <gadget id="calculator">2 / 3</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">40 / (2/3)</gadget>
<output>60</output>
<result>A</result> | A | 60 | A fill pipe can fill 2/3 of cistern in 40 minutes in how many minutes, it can fill full of the cistern? | {
"A": "60 min",
"B": "36 min",
"C": "25 min",
"D": "30 min",
"E": "50 min"
} | divide(40, divide(2, 3)) | divide(n0,n1)|divide(n2,#0) | 2 / 3 of the cistern can fill in 40 min 3 / 3 of the cistern can fill in = 40 * 3 / 2 * 3 / 3 = 60 min answer is a | physics |
math_qa__OWSxRuJPGlo9pLQX | What number has a 5:1 ratio to the number 12? Choose the correct choice from the following answers
A) 22 B) 50 C) 88 D) 52 E) 60 | <gadget id="calculator">12 * 5</gadget>
<output>60</output>
<result>E</result> | E | 60 | What number has a 5:1 ratio to the number 12? | {
"A": "22",
"B": "50",
"C": "88",
"D": "52",
"E": "60"
} | multiply(12, 5) | multiply(n0,n2)| | "5 : 1 = x : 12 x = 60 answer : e" | other |
math_qa__IzTTSPxFubjhHcng | If a*b*c=130, b*c*d = 65, c*d*e=500 and d*e*f=250 the (a*f)/(c*d) = ? Choose the correct choice from the following options.
A) 1 / 2
B) 1 / 4
C) 3 / 4
D) 2 / 3
E) 1 | <gadget id="calculator">130 * 250</gadget>
<output>32_500</output>
<gadget id="calculator">500 * 65</gadget>
<output>32_500</output>
<gadget id="calculator">32_500 / 32_500</gadget>
<output>1</output>
<result>E</result> | E | 1 | If a*b*c=130, b*c*d = 65, c*d*e=500 and d*e*f=250 the (a*f)/(c*d) = ? | {
"A": "1 / 2",
"B": "1 / 4",
"C": "3 / 4",
"D": "2 / 3",
"E": "1"
} | divide(multiply(130, 250), multiply(500, 65)) | multiply(n0,n3)|multiply(n1,n2)|divide(#0,#1)| | "explanation : a â ˆ — b â ˆ — c / b â ˆ — c â ˆ — d = 130 / 65 = > a / d = 2 d â ˆ — e â ˆ — f / c â ˆ — d â ˆ — e = 250 / 500 = > f / c = 1 / 2 a / d * f / c = 2 * 1 / 2 = 1 answer : e" | general |
math_qa__xkauqp8JWeSeaV5b | If the wheel is 56 cm then the number of revolutions to cover a distance of 1056 cm is? Choose the correct choice from the following answers:
A) 10 B) 12 C) 3 D) 11 E) 9 | <gadget id="calculator">3 * 100</gadget>
<output>300</output>
<gadget id="calculator">1 * 10</gadget>
<output>10</output>
<gadget id="calculator">300 + 10</gadget>
<output>310</output>
<gadget id="calculator">310 + 4</gadget>
<output>314</output>
<gadget id="calculator">314 / 100</gadget>
<output>157/50 = around 3.14</output>
<gadget id="calculator">2 * (157/50)</gadget>
<output>157/25 = around 6.28</output>
<gadget id="calculator">(157/25) * 56</gadget>
<output>8_792/25 = around 351.68</output>
<gadget id="calculator">1_056 / (8_792/25)</gadget>
<output>3_300/1_099 = around 3.00273</output>
<result>C</result> | C | 3 | If the wheel is 56 cm then the number of revolutions to cover a distance of 1056 cm is? | {
"A": "10",
"B": "12",
"C": "3",
"D": "11",
"E": "9"
} | divide(1056, multiply(multiply(const_2, divide(add(add(multiply(const_3, const_100), multiply(const_1, const_10)), const_4), const_100)), 56)) | multiply(const_100,const_3)|multiply(const_1,const_10)|add(#0,#1)|add(#2,const_4)|divide(#3,const_100)|multiply(#4,const_2)|multiply(n0,#5)|divide(n1,#6)| | "2 * 22 / 7 * 56 * x = 1056 = > x = 3 answer : c" | physics |
math_qa__fStv0bGiACd0xIKv | A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.12 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost? Choose the correct choice from the following answers: A) 1440 B) 1200 C) 2832 D) 1299 E) 1236 | <gadget id="calculator">1_200 / 30</gadget>
<output>40</output>
<gadget id="calculator">30 + 40</gadget>
<output>70</output>
<gadget id="calculator">30 ** 2</gadget>
<output>900</output>
<gadget id="calculator">40 ** 2</gadget>
<output>1_600</output>
<gadget id="calculator">900 + 1_600</gadget>
<output>2_500</output>
<gadget id="calculator">2_500 ** (1/2)</gadget>
<output>50</output>
<gadget id="calculator">70 + 50</gadget>
<output>120</output>
<gadget id="calculator">120 * 12</gadget>
<output>1_440</output>
<result>A</result> | A | 1,440 | A rectangular farm has to be fenced one long side, one short side and the diagonal. If the cost of fencing is Rs.12 per meter. The area of farm is 1200 m2 and the short side is 30 m long. How much would the job cost? | {
"A": "1440",
"B": "1200",
"C": "2832",
"D": "1299",
"E": "1236"
} | multiply(add(add(30, divide(1200, 30)), sqrt(add(power(30, 2), power(divide(1200, 30), 2)))), 12) | divide(n1,n3)|power(n3,n2)|add(n3,#0)|power(#0,n2)|add(#1,#3)|sqrt(#4)|add(#2,#5)|multiply(n0,#6)| | "explanation : l * 30 = 1200 è l = 40 40 + 30 + 50 = 120 120 * 12 = 1440 answer : option a" | geometry |
math_qa__TFFDCEcRnKTdMJhs | A boat moves upstream at the rate of 1 km in 40 minutes and down stream 1 km in 12 minutes. Then the speed of the current is : Pick one:
A) 1 kmph B) 2 kmph C) 1.75 kmph D) 2.5 kmph E) 3.5 kmph | <gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/12) * 60</gadget>
<output>5</output>
<gadget id="calculator">1 / 40</gadget>
<output>1/40 = around 0.025</output>
<gadget id="calculator">(1/40) * 60</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">5 - (3/2)</gadget>
<output>7/2 = around 3.5</output>
<gadget id="calculator">(7/2) / 2</gadget>
<output>7/4 = around 1.75</output>
<result>C</result> | C | 1.75 | A boat moves upstream at the rate of 1 km in 40 minutes and down stream 1 km in 12 minutes. Then the speed of the current is : | {
"A": "1 kmph",
"B": "2 kmph",
"C": "1.75 kmph",
"D": "2.5 kmph",
"E": "3.5 kmph"
} | divide(subtract(multiply(divide(1, 12), const_60), multiply(divide(1, 40), const_60)), const_2) | divide(n0,n3)|divide(n0,n1)|multiply(#0,const_60)|multiply(#1,const_60)|subtract(#2,#3)|divide(#4,const_2)| | "rate upstream = ( 1 / 40 * 60 ) = 1.5 kmph rate dowm stream = 1 / 12 * 60 = 5 kmph rate of the current = ½ ( 5 - 1.5 ) = 1.75 kmph answer : c" | physics |
math_qa__yx6FUqvQ23rQbgZK | If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day? Select the correct option
A) 8 B) 7 C) 5 D) 2.0 E) 1 | <gadget id="calculator">10 * 10</gadget>
<output>100</output>
<gadget id="calculator">100 * 3</gadget>
<output>300</output>
<gadget id="calculator">300 * 32</gadget>
<output>9_600</output>
<gadget id="calculator">30 * 8</gadget>
<output>240</output>
<gadget id="calculator">240 * 20</gadget>
<output>4_800</output>
<gadget id="calculator">9_600 / 4_800</gadget>
<output>2</output>
<result>D</result> | D | 2 | If 10 bulls can plough 20 identical fields in 3 days working 10 hours a day, then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day? | {
"A": "8",
"B": "7",
"C": "5",
"D": "2.0",
"E": "1"
} | divide(multiply(multiply(multiply(10, 10), 3), 32), multiply(multiply(30, 8), 20)) | multiply(n0,n0)|multiply(n4,n6)|multiply(n2,#0)|multiply(n1,#1)|multiply(n5,#2)|divide(#4,#3) | explanation : m 1 * d 1 * w 2 = m 2 * d 2 * w 1 10 * 3 * 10 * 32 = 30 * d * 8 * 20 d = 2 days answer : d | physics |
math_qa__bNXBujLHHXFtyirj | The product of two numbers is 120. The sum of their squares is 289. The sum of the two numbers is : Pick one:
A) 20
B) 23
C) 169
D) 172
E) 198 | <gadget id="calculator">2 * 120</gadget>
<output>240</output>
<gadget id="calculator">289 - 240</gadget>
<output>49</output>
<gadget id="calculator">49 ** (1/2)</gadget>
<output>7</output>
<gadget id="calculator">7 ** 2</gadget>
<output>49</output>
<gadget id="calculator">4 * 120</gadget>
<output>480</output>
<gadget id="calculator">49 + 480</gadget>
<output>529</output>
<gadget id="calculator">529 ** (1/2)</gadget>
<output>23</output>
<result>B</result> | B | 23 | The product of two numbers is 120. The sum of their squares is 289. The sum of the two numbers is : | {
"A": "20",
"B": "23",
"C": "169",
"D": "172",
"E": "198"
} | sqrt(add(power(sqrt(subtract(289, multiply(const_2, 120))), const_2), multiply(const_4, 120))) | multiply(n0,const_4)|multiply(n0,const_2)|subtract(n1,#1)|sqrt(#2)|power(#3,const_2)|add(#0,#4)|sqrt(#5)| | "explanation : let the number be x and y . we know that , ( x + y ) 2 = ( x 2 + y 2 ) + 2 xy = 289 + 2 × 120 = 289 + 240 = 529 ⇒ x + y = √ 529 = 23 correct option : b" | general |
math_qa__JzWyZoa8uhJFlBav | There are 10 slate rocks, 15 pumice rocks, and 6 granite rocks randomly distributed in a certain field. If 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks?
Choose the most appropriate option:
A) 2 / 19 B) 3 / 31 C) 4 / 37 D) 5 / 41 E) 6 / 53 | <gadget id="calculator">10 + 15</gadget>
<output>25</output>
<gadget id="calculator">25 + 6</gadget>
<output>31</output>
<gadget id="calculator">10 / 31</gadget>
<output>10/31 = around 0.322581</output>
<gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">31 - 1</gadget>
<output>30</output>
<gadget id="calculator">9 / 30</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(10/31) * (3/10)</gadget>
<output>3/31 = around 0.096774</output>
<result>B</result> | B | 0.096774 | There are 10 slate rocks, 15 pumice rocks, and 6 granite rocks randomly distributed in a certain field. If 2 rocks are chosen at random and without replacement, what is the probability that both rocks will be slate rocks? | {
"A": "2 / 19",
"B": "3 / 31",
"C": "4 / 37",
"D": "5 / 41",
"E": "6 / 53"
} | multiply(divide(10, add(add(10, 15), 6)), divide(subtract(10, const_1), subtract(add(add(10, 15), 6), const_1))) | add(n0,n1)|subtract(n0,const_1)|add(n2,#0)|divide(n0,#2)|subtract(#2,const_1)|divide(#1,#4)|multiply(#3,#5)| | "10 / 31 * 9 / 30 = 3 / 31 the answer is b ." | other |
math_qa__bTSuAg9pmNJtERlp | The average of 6 no.'s is 2.80. The average of 2 of them is 2.4, while the average of the other 2 is 2.3. What is the average of the remaining 2 no's? Choose the correct choice from the following.
A) 2.3 B) 2.6 C) 3.6 D) 3.7 E) 4.6 | <gadget id="calculator">6 * 2.8</gadget>
<output>16.8</output>
<gadget id="calculator">2 * 2.4</gadget>
<output>4.8</output>
<gadget id="calculator">2 * 2.3</gadget>
<output>4.6</output>
<gadget id="calculator">4.8 + 4.6</gadget>
<output>9.4</output>
<gadget id="calculator">16.8 - 9.4</gadget>
<output>7.4</output>
<gadget id="calculator">7.4 / 2</gadget>
<output>3.7</output>
<result>D</result> | D | 3.7 | The average of 6 no.'s is 2.80. The average of 2 of them is 2.4, while the average of the other 2 is 2.3. What is the average of the remaining 2 no's? | {
"A": "2.3",
"B": "2.6",
"C": "3.6",
"D": "3.7",
"E": "4.6"
} | divide(subtract(multiply(6, 2.8), add(multiply(2, 2.4), multiply(2, 2.3))), 2) | multiply(n0,n1)|multiply(n2,n3)|multiply(n2,n5)|add(#1,#2)|subtract(#0,#3)|divide(#4,n2) | sum of the remaining two numbers = ( 2.80 * 6 ) - [ ( 2.4 * 2 ) + ( 2.3 * 2 ) ] = 16.80 - ( 4.8 + 4.6 ) = 16.80 - 9.40 = 7.40 required average = ( 7.4 / 2 ) = 3.7 answer : d | general |
math_qa__6s5VhGhJBJRTaCvD | If x and y are integers and |x - y| = 12, what is the minimum possible value of xy? Choose the correct choice from the following answers:
A) - 12
B) - 18
C) - 24
D) - 36
E) - 48 | <gadget id="calculator">2 + 3</gadget>
<output>5</output>
<gadget id="calculator">-5</gadget>
<output>-5</output>
<gadget id="calculator">12 - 5</gadget>
<output>7</output>
<gadget id="calculator">(-5) * 7</gadget>
<output>-35</output>
<result>D</result> | D | -36 | If x and y are integers and |x - y| = 12, what is the minimum possible value of xy? | {
"A": "- 12",
"B": "- 18",
"C": "- 24",
"D": "- 36",
"E": "- 48"
} | multiply(negate(add(const_2, const_3)), subtract(12, add(const_2, const_3))) | add(const_2,const_3)|negate(#0)|subtract(n0,#0)|multiply(#1,#2)| | "we are given | x - y | = 12 , minimum possible value of xy would be maximum numeric value with a - ive sign . . so one of x or y will be negative and other negative . . | x - y | = 12 in this case means that the numeric sum of x and y is 12 . . various combinations could be - 1 and 11 , - 2 and 10 , - 6 and 6 , - 11 and 1 and so on . . when the sum of two numbers is given , the max product is when both x and y are same numeric value . . . so xy will have max numeric value when numeric value of x and y = 12 / 2 = 6 . . so numeric value of xy = 36 but one of x and y is - ive . . so answer is - 36 answer : d" | general |
math_qa__hwRF7sG2QwD5enxq | What is the smallest positive perfect square that is divisible by 4, 10, and 18?
Options
A) 900
B) 1,600
C) 2,500
D) 3,600
E) 4,900 | <gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">4 * 9</gadget>
<output>36</output>
<gadget id="calculator">36 * 10</gadget>
<output>360</output>
<gadget id="calculator">360 * 2</gadget>
<output>720</output>
<gadget id="calculator">10 * 18</gadget>
<output>180</output>
<gadget id="calculator">720 + 180</gadget>
<output>900</output>
<result>A</result> | A | 900 | What is the smallest positive perfect square that is divisible by 4, 10, and 18? | {
"A": "900",
"B": "1,600",
"C": "2,500",
"D": "3,600",
"E": "4,900"
} | add(multiply(multiply(multiply(4, power(const_3, const_2)), 10), const_2), multiply(10, 18)) | multiply(n1,n2)|power(const_3,const_2)|multiply(n0,#1)|multiply(n1,#2)|multiply(#3,const_2)|add(#4,#0) | the number needs to be divisible by 2 ^ 2 , 2 * 5 , and 2 * 3 ^ 2 . the smallest such perfect square is 2 ^ 2 * 3 ^ 2 * 5 ^ 2 = 900 the answer is a . | geometry |
math_qa__UdoKrD1mlQugWs7N | If grapes are 91% water and raisins are 19% water, then how many kilograms did a quantity of raisins, which currently weighs 9 kilograms, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.) Answers:
A) 63 B) 72 C) 81 D) 90 E) 99 | <gadget id="calculator">100 - 19</gadget>
<output>81</output>
<gadget id="calculator">81 / 100</gadget>
<output>81/100 = around 0.81</output>
<gadget id="calculator">(81/100) * 9</gadget>
<output>729/100 = around 7.29</output>
<gadget id="calculator">100 - 91</gadget>
<output>9</output>
<gadget id="calculator">9 / 100</gadget>
<output>9/100 = around 0.09</output>
<gadget id="calculator">(729/100) / (9/100)</gadget>
<output>81</output>
<result>C</result> | C | 81 | If grapes are 91% water and raisins are 19% water, then how many kilograms did a quantity of raisins, which currently weighs 9 kilograms, weigh when all the raisins were grapes? (Assume that the only difference between their raisin-weight and their grape-weight is water that evaporated during their transformation.) | {
"A": "63",
"B": "72",
"C": "81",
"D": "90",
"E": "99"
} | divide(multiply(divide(subtract(const_100, 19), const_100), 9), divide(subtract(const_100, 91), const_100)) | subtract(const_100,n1)|subtract(const_100,n0)|divide(#0,const_100)|divide(#1,const_100)|multiply(n2,#2)|divide(#4,#3)| | "let x be the original weight . the weight of the grape pulp was 0.09 x . since the grape pulp is 81 % of the raisins , 0.09 x = 0.81 ( 9 kg ) . then x = 9 * 9 = 81 kg . the answer is c ." | general |
math_qa__2G1VLXnVo9d8E8Hi | A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 210, how many coins of each type are there? Select the correct option:
A) 20 coins B) 50 coins C) 100 coins D) 120 coins E) none of these | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/4) + (1/2)</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(3/4) + 1</gadget>
<output>7/4 = around 1.75</output>
<gadget id="calculator">210 / (7/4)</gadget>
<output>120</output>
<result>D</result> | D | 120 | A bag contains an equal number of one rupee, 50 paise and 25 paise coins respectively. If the total value is 210, how many coins of each type are there? | {
"A": "20 coins",
"B": "50 coins",
"C": "100 coins",
"D": "120 coins",
"E": "none of these"
} | divide(210, add(add(inverse(const_4), inverse(const_2)), const_1)) | inverse(const_4)|inverse(const_2)|add(#0,#1)|add(#2,const_1)|divide(n2,#3)| | "let number of each type of coin = x . then , 1 × x + . 50 × x + . 25 x = 210 ⇒ 1.75 x = 210 ⇒ x = 120 coins answer d" | general |
math_qa__vSAl2vWJrqL1L9pN | A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 4 cm. What is the length of the wire? Answers.
A) 116 cm B) 144 cm C) 168 cm D) 173 cm E) 189 cm | <gadget id="calculator">12 ** 3</gadget>
<output>1_728</output>
<gadget id="calculator">4 ** 2</gadget>
<output>16</output>
<gadget id="calculator">1_728 / 16</gadget>
<output>108</output>
<gadget id="calculator">4 * 108</gadget>
<output>432</output>
<gadget id="calculator">432 / 3</gadget>
<output>144</output>
<result>B</result> | B | 144 | A metallic sphere of radius 12 cm is melted and drawn into a wire, whose radius of cross section is 4 cm. What is the length of the wire? | {
"A": "116 cm",
"B": "144 cm",
"C": "168 cm",
"D": "173 cm",
"E": "189 cm"
} | divide(multiply(const_4, divide(power(12, const_3), power(4, const_2))), const_3) | power(n0,const_3)|power(n1,const_2)|divide(#0,#1)|multiply(#2,const_4)|divide(#3,const_3)| | "volume of the wire ( in cylindrical shape ) is equal to the volume of the sphere . π ( 4 ) ^ 2 * h = ( 4 / 3 ) π ( 12 ) ^ 3 = > h = 144 cm answer : b" | physics |
math_qa__WFbSaVeDFWn5UEKo | A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train?
Choose the correct choice:
A) 150 m
B) 188 m
C) 267 m
D) 268 m
E) 287 m | <gadget id="calculator">15 / 3</gadget>
<output>5</output>
<gadget id="calculator">15 / 5</gadget>
<output>3</output>
<gadget id="calculator">250 * 3</gadget>
<output>750</output>
<gadget id="calculator">20 / 5</gadget>
<output>4</output>
<gadget id="calculator">150 * 4</gadget>
<output>600</output>
<gadget id="calculator">750 - 600</gadget>
<output>150</output>
<result>A</result> | A | 150 | A train crosses a platform of 150 m in 15 sec, same train crosses another platform of length 250 m in 20 sec. then find the length of the train? | {
"A": "150 m",
"B": "188 m",
"C": "267 m",
"D": "268 m",
"E": "287 m"
} | subtract(multiply(250, divide(15, divide(15, const_3))), multiply(150, divide(20, divide(15, const_3)))) | divide(n1,const_3)|divide(n1,#0)|divide(n3,#0)|multiply(n2,#1)|multiply(n0,#2)|subtract(#3,#4)| | "length of the train be ‘ x ’ x + 150 / 15 = x + 250 / 20 4 x + 600 = 3 x + 750 x = 150 m answer : a" | physics |
math_qa__CNG5H0rMfqRWuRbc | Find √? /19 = 4 ? Options: A) 76 B) 5776 C) 304 D) 1296 E) none | <gadget id="calculator">4 * 19</gadget>
<output>76</output>
<gadget id="calculator">76 ** 2</gadget>
<output>5_776</output>
<result>B</result> | B | 5,776 | Find √? /19 = 4 ? | {
"A": "76",
"B": "5776",
"C": "304",
"D": "1296",
"E": "none"
} | power(multiply(4, 19), const_2) | multiply(n0,n1)|power(#0,const_2)| | "answer let √ n / 19 = 4 then √ n = 19 x 4 = 76 ∴ n = 76 x 76 = 5776 . correct option : b" | general |
math_qa__NCKTInP5zVwb81Fp | If the radius of a circle that centers at the origin is 5, how many J points on the circle have integer coordinates? Choose the correct answer
A) 4
B) 8
C) 12
D) 15
E) 20 | <gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">5 + 4</gadget>
<output>9</output>
<gadget id="calculator">25 - 9</gadget>
<output>16</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">16 - 4</gadget>
<output>12</output>
<result>C</result> | C | 12 | If the radius of a circle that centers at the origin is 5, how many J points on the circle have integer coordinates? | {
"A": "4",
"B": "8",
"C": "12",
"D": "15",
"E": "20"
} | subtract(subtract(multiply(5, 5), add(5, const_4)), power(const_2, const_2)) | add(n0,const_4)|multiply(n0,n0)|power(const_2,const_2)|subtract(#1,#0)|subtract(#3,#2) | i understand this might not be required but i used the equation of a circle . since the origin is at 0 , x ^ 2 + y ^ 2 = 5 ^ 2 . x , y could be + / - ( 0,5 or 5,0 ) - 4 possibilities . x , y could be + / - ( 3,4 or 4,3 ) - 8 possibilities . ans : j = c | geometry |
math_qa__bPqjz0lptxlojheq | An automobile parts supplier charges $25 per package of gaskets. When a customer orders more than 10 packages of gaskets, the supplier charges 4/5 the price for each package in excess of 10. During a certain week, the supplier sold 50 packages of gaskets. If 20 percent of the gaskets went to Company X, 15 percent to Company Y, and the rest to Company Z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets? Choose the correct choice from the following choices.
A) 1105 B) 1245 C) 1275 D) 1215 E) 1150 | <gadget id="calculator">4 / 5</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">25 * (4/5)</gadget>
<output>20</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">50 * (1/5)</gadget>
<output>10</output>
<gadget id="calculator">50 - 10</gadget>
<output>40</output>
<gadget id="calculator">40 - 10</gadget>
<output>30</output>
<gadget id="calculator">30 - 10</gadget>
<output>20</output>
<gadget id="calculator">20 * 20</gadget>
<output>400</output>
<gadget id="calculator">25 * 10</gadget>
<output>250</output>
<gadget id="calculator">400 + 250</gadget>
<output>650</output>
<gadget id="calculator">250 + 250</gadget>
<output>500</output>
<gadget id="calculator">650 + 500</gadget>
<output>1_150</output>
<result>E</result> | E | 1,150 | An automobile parts supplier charges $25 per package of gaskets. When a customer orders more than 10 packages of gaskets, the supplier charges 4/5 the price for each package in excess of 10. During a certain week, the supplier sold 50 packages of gaskets. If 20 percent of the gaskets went to Company X, 15 percent to Company Y, and the rest to Company Z, what was the total amount, in dollars, that the parts supplier received in payment for the gaskets? | {
"A": "1105",
"B": "1245",
"C": "1275",
"D": "1215",
"E": "1150"
} | add(add(multiply(multiply(25, divide(4, 5)), subtract(subtract(subtract(50, multiply(50, divide(20, const_100))), multiply(50, divide(20, const_100))), 10)), multiply(25, 10)), add(multiply(25, multiply(50, divide(20, const_100))), multiply(25, multiply(50, divide(20, const_100))))) | divide(n2,n3)|divide(n6,const_100)|multiply(n0,n1)|multiply(n0,#0)|multiply(n5,#1)|multiply(n0,#4)|subtract(n5,#4)|add(#5,#5)|subtract(#6,#4)|subtract(#8,n1)|multiply(#3,#9)|add(#10,#2)|add(#11,#7)| | "$ 25 per packet of gasket in case a customer orders less than 10 in case a customer orders > 10 price per gasket = 25 * 4 / 5 = 20 a certain week the supplier sold 60 gasket 1 . he sold 20 % of the gaskets to x = 10 gaskets = 25 * 10 = 250 2 . he sold 30 % of the gaskets to y = 15 gaskets = 25 * 10 + 20 * 5 = 350 3 . he sold remaining 50 % to z = 25 gaskets = 25 * 10 = 250 + 20 * 15 = 550 thus , total money earned 250 + 350 + 550 = 1150 answer is e" | general |
math_qa__2NJHw9QqDOhOVT9l | Ravi can do a piece of work in 15 days while Prakash can do it in 30 days. In how many days will they finish it together?
Select.
A) 11 days B) 9 days C) 8 days D) 12 days E) 10 days | <gadget id="calculator">1 / 15</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">1 / 30</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">(1/15) + (1/30)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / (1/10)</gadget>
<output>10</output>
<result>E</result> | E | 10 | Ravi can do a piece of work in 15 days while Prakash can do it in 30 days. In how many days will they finish it together? | {
"A": "11 days",
"B": "9 days",
"C": "8 days",
"D": "12 days",
"E": "10 days"
} | divide(const_1, add(inverse(15), inverse(30))) | inverse(n0)|inverse(n1)|add(#0,#1)|divide(const_1,#2)| | "1 / 15 + 1 / 30 = 3 / 30 10 / 1 = 10 days answer : e" | physics |
math_qa__0XzdpJ9GBxKmgVxv | What is remainder of the division (1425*1427*1429)/12? Pick.
A) 5 B) 0 C) 1 D) 2 E) 3 | <gadget id="calculator">1_425 * 1_427</gadget>
<output>2_033_475</output>
<gadget id="calculator">2_033_475 * 1_429</gadget>
<output>2_905_835_775</output>
<gadget id="calculator">2_905_835_775 - 3</gadget>
<output>2_905_835_772</output>
<gadget id="calculator">2_905_835_775 - 2_905_835_772</gadget>
<output>3</output>
<result>E</result> | E | 3 | What is remainder of the division (1425*1427*1429)/12? | {
"A": "5",
"B": "0",
"C": "1",
"D": "2",
"E": "3"
} | subtract(multiply(multiply(1425, 1427), 1429), subtract(multiply(multiply(1425, 1427), 1429), const_3)) | multiply(n0,n1)|multiply(n2,#0)|subtract(#1,const_3)|subtract(#1,#2)| | "remainder will be number / 100 here as the divisor is two digit number = 12 . hence checking for the last two digits = 5 * 7 * 9 = 15 thus remainder = 3 . answer : e" | general |
math_qa__HLi2TsUkZIgegQ6D | A man walking at a rate of 10km/hr crosses a bridge in 10 minutes. The length of the bridge is? Choices: A) 1521 B) 1492 C) 1667 D) 1254 E) 1112 | <gadget id="calculator">10 * 1_000</gadget>
<output>10_000</output>
<gadget id="calculator">10_000 / 60</gadget>
<output>500/3 = around 166.666667</output>
<gadget id="calculator">(500/3) * 10</gadget>
<output>5_000/3 = around 1_666.666667</output>
<result>C</result> | C | 1,667 | A man walking at a rate of 10km/hr crosses a bridge in 10 minutes. The length of the bridge is? | {
"A": "1521",
"B": "1492",
"C": "1667",
"D": "1254",
"E": "1112"
} | multiply(divide(multiply(10, const_1000), const_60), 10) | multiply(n0,const_1000)|divide(#0,const_60)|multiply(n1,#1)| | "speed = 10 * 5 / 18 = 50 / 18 m / sec distance covered in 10 minutes = 50 / 18 * 10 * 60 = 1667 m answer is c" | gain |
math_qa__g2O1Znxrt8xB3vNp | The distance from Steve's house to work is 40 Km. On the way back Steve drives twice as fast as he did on the way to work. Altogether, Steve is spending 6 hours a day on the roads. What is Steve's speed on the way back from work?
Options:
A) 5 .
B) 10 .
C) 14 .
D) 15 .
E) 20 . | <gadget id="calculator">40 / 2</gadget>
<output>20</output>
<gadget id="calculator">40 + 20</gadget>
<output>60</output>
<gadget id="calculator">60 / 6</gadget>
<output>10</output>
<gadget id="calculator">10 * 2</gadget>
<output>20</output>
<result>E</result> | E | 20 | The distance from Steve's house to work is 40 Km. On the way back Steve drives twice as fast as he did on the way to work. Altogether, Steve is spending 6 hours a day on the roads. What is Steve's speed on the way back from work? | {
"A": "5 .",
"B": "10 .",
"C": "14 .",
"D": "15 .",
"E": "20 ."
} | multiply(divide(add(40, divide(40, const_2)), 6), const_2) | divide(n0,const_2)|add(n0,#0)|divide(#1,n1)|multiply(#2,const_2)| | "time is in the ratio 2 : 1 : : to : fro office therefore , 2 x + 1 x = 6 hrs time take to come back - 2 hrs , distance travelled - 40 km = > speed = 20 kmph e" | physics |
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