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__tUMQQSU15QGxQTo7 | If the perimeter of a rectangular garden is 1200 m, its length when its breadth is 240 m is?
Choose the correct answer:
A) 338 m
B) 778 m
C) 200 m
D) 276 m
E) 360 m | <gadget id="calculator">1_200 / 2</gadget>
<output>600</output>
<gadget id="calculator">600 - 240</gadget>
<output>360</output>
<result>E</result> | E | 360 | If the perimeter of a rectangular garden is 1200 m, its length when its breadth is 240 m is? | {
"A": "338 m",
"B": "778 m",
"C": "200 m",
"D": "276 m",
"E": "360 m"
} | subtract(divide(1200, const_2), 240) | divide(n0,const_2)|subtract(#0,n1)| | "2 ( l + 240 ) = 1200 = > l = 360 m answer : e" | physics |
math_qa__i3t84mXXFxCjlQMg | A jar of 144 marbles is divided equally among a group of marble-players today. If 2 people joined the group in the future, each person would receive 1 marble less. How many people are there in the group today? Choose the correct choice:
A) 12 B) 14 C) 16 D) 18 E) 20 | <gadget id="calculator">144 * 2</gadget>
<output>288</output>
<gadget id="calculator">288 * 4</gadget>
<output>1_152</output>
<gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">1_152 + 4</gadget>
<output>1_156</output>
<gadget id="calculator">1_156 ** (1/2)</gadget>
<output>34</outpu... | C | 16 | A jar of 144 marbles is divided equally among a group of marble-players today. If 2 people joined the group in the future, each person would receive 1 marble less. How many people are there in the group today? | {
"A": "12",
"B": "14",
"C": "16",
"D": "18",
"E": "20"
} | divide(subtract(sqrt(add(multiply(multiply(144, 2), const_4), power(2, 2))), 2), 2) | multiply(n0,n1)|power(n1,n1)|multiply(#0,const_4)|add(#2,#1)|sqrt(#3)|subtract(#4,n1)|divide(#5,n1)| | "144 = 16 * 9 = 18 * 8 there are 16 people in the group today . the answer is c ." | general |
math_qa__rQ3niRDl6oQLveqN | A cyclist rides a bicycle 7 km at an average speed of 10 km/hr and again travels 10 km at an average speed of 7 km/hr. What is the average speed for the entire trip?
Choose the correct choice from the following: A) 7.59 B) 7.79 C) 7.99 D) 8.19 E) 8.39 | <gadget id="calculator">7 + 10</gadget>
<output>17</output>
<gadget id="calculator">7 / 10</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">10 / 7</gadget>
<output>10/7 = around 1.428571</output>
<gadget id="calculator">(7/10) + (10/7)</gadget>
<output>149/70 = around 2.128571</output>
<gadget id... | C | 7.99 | A cyclist rides a bicycle 7 km at an average speed of 10 km/hr and again travels 10 km at an average speed of 7 km/hr. What is the average speed for the entire trip? | {
"A": "7.59",
"B": "7.79",
"C": "7.99",
"D": "8.19",
"E": "8.39"
} | divide(add(7, 10), add(divide(7, 10), divide(10, 7))) | add(n0,n1)|divide(n0,n1)|divide(n1,n0)|add(#1,#2)|divide(#0,#3) | distance = 17 km time = 7 / 10 + 10 / 7 = ( 49 + 100 ) / 70 = 149 / 70 hours average speed = ( 17 * 70 ) / 149 = 7.99 km / h the answer is c . | general |
math_qa__KMFkXMW87XXilfVu | A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
A. 65
Choices
A) 28 sec B) 89 sec C) 85 sec D) 16 sec E) 15 sec | <gadget id="calculator">240 + 650</gadget>
<output>890</output>
<gadget id="calculator">240 / 24</gadget>
<output>10</output>
<gadget id="calculator">890 / 10</gadget>
<output>89</output>
<result>B</result> | B | 89 | A train 240 m long passed a pole in 24 sec. How long will it take to pass a platform 650 m long?
A. 65 | {
"A": "28 sec",
"B": "89 sec",
"C": "85 sec",
"D": "16 sec",
"E": "15 sec"
} | divide(add(240, 650), divide(240, 24)) | add(n0,n2)|divide(n0,n1)|divide(#0,#1) | speed = 240 / 24 = 10 m / sec . required time = ( 240 + 650 ) / 10 = 89 sec . answer : b | physics |
math_qa__5eC46zY8lKqOnNwH | If the radius of a circle that centers at the origin is 5, how many K points on the circle have integer coordinates? Choose the correct choice from the following choices:
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 K 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 : k = c" | geometry |
math_qa__NaNoIiPH4hWJV0bh | Marcella has 23 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left?
Answers.
A) 21
B) 20
C) 19
D) 18
E) 15 | <gadget id="calculator">9 / 2</gadget>
<output>9/2 = around 4.5</output>
<gadget id="calculator">floor(9/2)</gadget>
<output>4</output>
<gadget id="calculator">4 + 1</gadget>
<output>5</output>
<gadget id="calculator">23 - 5</gadget>
<output>18</output>
<result>D</result> | D | 18 | Marcella has 23 pairs of shoes. If she loses 9 individual shoes, what is the greatest number of matching pairs she could have left? | {
"A": "21",
"B": "20",
"C": "19",
"D": "18",
"E": "15"
} | subtract(23, add(floor(divide(9, const_2)), const_1)) | divide(n1,const_2)|floor(#0)|add(#1,const_1)|subtract(n0,#2) | marcella has 23 pairs of shoes and loses 9 shoes . to minimize the loss of identical pairs of shoes we want marcella to lose as many identical pairs as possible . this would yield 4 identical pairs and 1 additional shoe ( destroying 5 pairs of shoes ) . the 23 pairs of shoes minus the 5 ' destroyed ' pairs yields 20 pa... | general |
math_qa__OEgWpXVbgvzxMDRE | A shopkeeper sold 15 articles at the cost price of 20 articles. Then find the profit% or lost% Pick one:
A) 30 %
B) 31 %
C) 20 %
D) 33.33 %
E) 40 % | <gadget id="calculator">20 - 15</gadget>
<output>5</output>
<gadget id="calculator">5 / 15</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * 100</gadget>
<output>100/3 = around 33.333333</output>
<result>D</result> | D | 33.33 | A shopkeeper sold 15 articles at the cost price of 20 articles. Then find the profit% or lost% | {
"A": "30 %",
"B": "31 %",
"C": "20 %",
"D": "33.33 %",
"E": "40 %"
} | multiply(divide(subtract(20, 15), 15), const_100) | subtract(n1,n0)|divide(#0,n0)|multiply(#1,const_100)| | "here 15 articles selling price = 20 articles cost price so the difference = 20 - 15 = 5 % of profit = 5 * 100 / 15 = 33.33 % correct option is d" | gain |
math_qa__RpQqPDLutmSN8qbN | The price of 2 saris and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ? Options
A) rs . 2400
B) rs . 2490
C) rs . 2500
D) rs . 2550
E) rs . 2600 | <gadget id="calculator">6 * 2</gadget>
<output>12</output>
<gadget id="calculator">12 - 4</gadget>
<output>8</output>
<gadget id="calculator">1_600 / 8</gadget>
<output>200</output>
<gadget id="calculator">12 * 200</gadget>
<output>2_400</output>
<result>A</result> | A | 2,400 | The price of 2 saris and 4 shirts is Rs. 1600. With the same money one can buy 1 saree and 6 shirts. If one wants to buy 12 shirts, how much shall he have to pay ? | {
"A": "rs . 2400",
"B": "rs . 2490",
"C": "rs . 2500",
"D": "rs . 2550",
"E": "rs . 2600"
} | multiply(12, divide(1600, subtract(multiply(6, 2), 4))) | multiply(n0,n4)|subtract(#0,n1)|divide(n2,#1)|multiply(n5,#2) | let the price of a saree and a shirt be rs . x and rs . y respectively . then , 2 x + 4 y = 1600 . . . . ( i ) and x + 6 y = 1600 . . . . ( ii ) divide equation ( i ) by 2 , we get the below equation . = > x + 2 y = 800 . - - - ( iii ) now subtract ( iii ) from ( ii ) x + 6 y = 1600 ( - ) x + 2 y = 800 - - - - - - - - ... | general |
math_qa__3hwJy445FbbGENwm | Two numbers are in ratio 4:5 and their LCM is 180. The smaller number is
Choose the correct choice
A) 9 B) 15 C) 36 D) 45 E) none | <gadget id="calculator">5 * 4</gadget>
<output>20</output>
<gadget id="calculator">180 / 20</gadget>
<output>9</output>
<gadget id="calculator">4 * 9</gadget>
<output>36</output>
<result>C</result> | C | 36 | Two numbers are in ratio 4:5 and their LCM is 180. The smaller number is | {
"A": "9",
"B": "15",
"C": "36",
"D": "45",
"E": "none"
} | multiply(4, divide(180, multiply(5, 4))) | multiply(n0,n1)|divide(n2,#0)|multiply(n0,#1) | solution : let two numbers be 4 x and 5 x ; their lcm = 180 and hcf = x ; now , 1 st number * 2 nd number = lcm * hcf or , 4 x * 5 x = 180 * x ; or , 20 x = 180 ; or , x = 9 ; then , the smaller number = 4 * 9 = 36 . answer : option c | other |
math_qa__U7EenfdeDVNUs6N8 | How many cubes of 25 cm edge can be put in a cubical box of 1 m edge.
Pick one:
A) 177 cm
B) 100 cm
C) 86 cm
D) 64 cm
E) 87 cm | <gadget id="calculator">1 ** 3</gadget>
<output>1</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) ** 3</gadget>
<output>1/64 = around 0.015625</output>
<gadget id="calculator">1 / (1/64)</gadget>
<output>64</output>
<result>D</result> | D | 64 | How many cubes of 25 cm edge can be put in a cubical box of 1 m edge. | {
"A": "177 cm",
"B": "100 cm",
"C": "86 cm",
"D": "64 cm",
"E": "87 cm"
} | divide(volume_cube(1), volume_cube(divide(25, const_100))) | divide(n0,const_100)|volume_cube(n1)|volume_cube(#0)|divide(#1,#2) | number of cubes = 100 â ˆ — 100 â ˆ — 100 / 25 â ˆ — 25 â ˆ — 25 = 64 note : 1 m = 100 cm answer : d | physics |
math_qa__AXNQt5kXi5sG2vzN | an apple orchard grows red and green apples . on the first day of harvest , 496 apples are collected . there are 3 times as many red apples as there are green apples . how many green apples were harvested ? Options: A) 99 B) 112 C) 118 D) 124 E) 130 | <gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">496 / 4</gadget>
<output>124</output>
<result>D</result> | D | 124 | an apple orchard grows red and green apples . on the first day of harvest , 496 apples are collected . there are 3 times as many red apples as there are green apples . how many green apples were harvested ? | {
"A": "99",
"B": "112",
"C": "118",
"D": "124",
"E": "130"
} | divide(496, add(3, const_1)) | add(n1,const_1)|divide(n0,#0) | let x be the number of green apples . there were 496 total apples ; there are three times as many red apples as green apples . therefore , x + 3 x = 496 4 x = 496 x = 124 answer : d | physics |
math_qa__G3aN9cPWkTFIjOfY | What is the tenth digit to the right of the decimal point, in the decimal expansion of (1/5)^10 Answers:
A) 0
B) 2
C) 4
D) 6
E) 8 | <gadget id="calculator">2 ** 10</gadget>
<output>1_024</output>
<gadget id="calculator">1_024 % 10</gadget>
<output>4</output>
<result>C</result> | C | 4 | What is the tenth digit to the right of the decimal point, in the decimal expansion of (1/5)^10 | {
"A": "0",
"B": "2",
"C": "4",
"D": "6",
"E": "8"
} | reminder(power(const_2, 10), 10) | power(const_2,n2)|reminder(#0,n2) | actually 1 / 5 = 0.2 = 2 * 10 ^ - 1 so 2 ^ 10 * 10 ^ - 10 2 has sequence 24 , 86 . hence digit will be 4 answer is c | general |
math_qa__1o629fGsx0BhVAKU | Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is? Choices.
A) 16 : 5 B) 14 : 5 C) 16 : 7 D) 19 : 5 E) none of these | <gadget id="calculator">62.5 * 2</gadget>
<output>125</output>
<gadget id="calculator">125 / 100</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">87.5 * 4</gadget>
<output>350</output>
<gadget id="calculator">350 / 100</gadget>
<output>7/2 = around 3.5</output>
<gadget id="calculator">(5/4) + (7/... | D | 3.8 | Two vessels P and Q contain 62.5% and 87.5% of alcohol respectively. If 2 litres from vessel P is mixed with 4 litres from vessel Q, the ratio of alcohol and water in the resulting mixture is? | {
"A": "16 : 5",
"B": "14 : 5",
"C": "16 : 7",
"D": "19 : 5",
"E": "none of these"
} | divide(add(divide(multiply(62.5, 2), const_100), divide(multiply(87.5, 4), const_100)), add(subtract(2, divide(multiply(62.5, 2), const_100)), subtract(4, divide(multiply(87.5, 4), const_100)))) | multiply(n0,n2)|multiply(n1,n3)|divide(#0,const_100)|divide(#1,const_100)|add(#2,#3)|subtract(n2,#2)|subtract(n3,#3)|add(#5,#6)|divide(#4,#7)| | "quantity of alcohol in vessel p = 62.5 / 100 * 2 = 5 / 4 litres quantity of alcohol in vessel q = 87.5 / 100 * 4 = 7 / 2 litres quantity of alcohol in the mixture formed = 5 / 4 + 7 / 2 = 19 / 4 = 4.75 litres as 6 litres of mixture is formed , ratio of alcohol and water in the mixture formed = 4.75 : 1.25 = 19 : 5 . a... | other |
math_qa__fu6rHVqhV6Y2tkrA | A bag contains 12 red marbles. If someone were to remove 2 marbles from the bag, one at a time, and replace the first marble after it was removed, the probability that neither marble would be red is 36/49. How many marbles are in the bag?
Options:
A) 24
B) 48
C) 84
D) 72
E) 80 | <gadget id="calculator">36 / 49</gadget>
<output>36/49 = around 0.734694</output>
<gadget id="calculator">(36/49) ** (1/2)</gadget>
<output>6/7 = around 0.857143</output>
<gadget id="calculator">1 - (6/7)</gadget>
<output>1/7 = around 0.142857</output>
<gadget id="calculator">12 / (1/7)</gadget>
<output>84</output>
... | C | 84 | A bag contains 12 red marbles. If someone were to remove 2 marbles from the bag, one at a time, and replace the first marble after it was removed, the probability that neither marble would be red is 36/49. How many marbles are in the bag? | {
"A": "24",
"B": "48",
"C": "84",
"D": "72",
"E": "80"
} | divide(12, subtract(const_1, sqrt(divide(36, 49)))) | divide(n2,n3)|sqrt(#0)|subtract(const_1,#1)|divide(n0,#2) | ok let me see if i can explain what went on in the previous post lets say i have x marbles in the bag in total - - > out of them 12 are red so the probability of pulling a non - red marble is ( x - 12 ) / x now the marble is placed back in the bag and we have x marbles again , of which again 12 are red . so the probabi... | other |
math_qa__OylkaoJDNbSoOWv1 | A tourist does not have to pay tax on the first $600 of goods he purchases in Country B, but does have to pay a 8 percent tax on the portion of the total value that is in excess of $600. What tax must be paid by a tourist if he buys goods with a total value of $1720? Choose the correct choice from the following choices... | <gadget id="calculator">1_720 - 600</gadget>
<output>1_120</output>
<gadget id="calculator">1_120 * 8</gadget>
<output>8_960</output>
<gadget id="calculator">8_960 / 100</gadget>
<output>448/5 = around 89.6</output>
<result>B</result> | B | 89.6 | A tourist does not have to pay tax on the first $600 of goods he purchases in Country B, but does have to pay a 8 percent tax on the portion of the total value that is in excess of $600. What tax must be paid by a tourist if he buys goods with a total value of $1720? | {
"A": "$ 54.00",
"B": "$ 89.60",
"C": "$ 90.00",
"D": "$ 100.80",
"E": "$ 154.80"
} | divide(multiply(subtract(1720, 600), 8), const_100) | subtract(n3,n0)|multiply(n1,#0)|divide(#1,const_100)| | "correct answer : b the tourist must pay tax on $ 1720 - $ 600 = $ 1120 . thus , the amount of tax he has to pay is 0.08 ( $ 1120 ) = $ 89.60 . the correct answer is b ." | general |
math_qa__cGXbkBhm2X9gApfe | What is the remainder of G=3^19 when divided by 10? Options:
A) 0 B) 1 C) 5 D) 7 E) 9 | <gadget id="calculator">19 % 4</gadget>
<output>3</output>
<gadget id="calculator">3 ** 3</gadget>
<output>27</output>
<gadget id="calculator">27 % 10</gadget>
<output>7</output>
<result>D</result> | D | 7 | What is the remainder of G=3^19 when divided by 10? | {
"A": "0",
"B": "1",
"C": "5",
"D": "7",
"E": "9"
} | reminder(power(3, reminder(19, const_4)), 10) | reminder(n1,const_4)|power(n0,#0)|reminder(#1,n2)| | "i looked for patterns : ^ 2 - units digit 9 ^ 3 - units digit 7 ^ 4 - units digit 1 ^ 5 - units digit 3 hence , we can see that when raised to a power which is multiple of 4 , the units digit is 1 , and when to an even power not multiple of 4 , the units digit is 9 and we can then see : ^ 16 - units digit 1 , or ^ 18 ... | general |
math_qa__TpTFnofTJHB1caNC | What is the value of (log2 3)(log3 4)(log4 5)...(log63 64)? Choose the correct option.
A) 1 / 6 B) 2 C) 5 / 2 D) 6 E) 32 | <gadget id="calculator">5 + 1</gadget>
<output>6</output>
<gadget id="calculator">log(2)</gadget>
<output>log(2) = around 0.693147</output>
<gadget id="calculator">log(2) / log(2)</gadget>
<output>1</output>
<gadget id="calculator">6 * 1</gadget>
<output>6</output>
<result>D</result> | D | 6 | What is the value of (log2 3)(log3 4)(log4 5)...(log63 64)? | {
"A": "1 / 6",
"B": "2",
"C": "5 / 2",
"D": "6",
"E": "32"
} | multiply(add(5, const_1), divide(log(2), log(2))) | add(n5,const_1)|log(n0)|divide(#1,#1)|multiply(#0,#2) | using the identity ( loga b ) ( logb c ) = loga c repeatedly , we obtain ( log 2 3 ) ( log 3 4 ) ( log 4 5 ) . . . ( log 63 64 ) = log 2 64 = 6 correct answer d | other |
math_qa__OmDJEzxjxFuWEhtH | Find large number from below question The difference of two no.'s is 1365. On dividing the larger no. by the smaller, we get 6 as quotient and the 15 as remainder? Choose the correct choice from the following options:
A) 1456
B) 1563
C) 1546
D) 1643
E) 1635 | <gadget id="calculator">1_365 - 15</gadget>
<output>1_350</output>
<gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">1_350 / 5</gadget>
<output>270</output>
<gadget id="calculator">270 * 6</gadget>
<output>1_620</output>
<result>E</result> | E | 1,635 | Find large number from below question The difference of two no.'s is 1365. On dividing the larger no. by the smaller, we get 6 as quotient and the 15 as remainder? | {
"A": "1456",
"B": "1563",
"C": "1546",
"D": "1643",
"E": "1635"
} | multiply(divide(subtract(1365, 15), subtract(6, const_1)), 6) | subtract(n0,n2)|subtract(n1,const_1)|divide(#0,#1)|multiply(n1,#2)| | "let the smaller number be x . then larger number = ( x + 1365 ) . x + 1365 = 6 x + 15 5 x = 1350 x = 270 large number = 270 + 1365 = 1635 e" | general |
math_qa__23JduIFe5i2AncJz | In a group of cows and chickens, the number of legs was 18 more than twice the number of heads. The number of cows was: Pick one
A) 5 B) 7 C) 9 D) 12 E) 14 | <gadget id="calculator">4 - 2</gadget>
<output>2</output>
<gadget id="calculator">18 / 2</gadget>
<output>9</output>
<result>C</result> | C | 9 | In a group of cows and chickens, the number of legs was 18 more than twice the number of heads. The number of cows was: | {
"A": "5",
"B": "7",
"C": "9",
"D": "12",
"E": "14"
} | divide(18, subtract(const_4, const_2)) | subtract(const_4,const_2)|divide(n0,#0)| | "let the number of cows be x and their legs be 4 x . let the number of chicken be y and their legs be 2 x . total number of legs = 4 x + 2 y . total number of heads = x + y . the number of legs was 18 more than twice the number of heads . therefore , 2 × ( x + y ) + 18 = 4 x + 2 y . or , 2 x + 2 y + 18 = 4 x + 2 y . or... | general |
math_qa__jRFagKZHPsybjqOq | Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 3.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn?
Choose the correct choice
A) 1 / 3... | <gadget id="calculator">3.5 / 5</gadget>
<output>0.7</output>
<gadget id="calculator">0.7 * 60</gadget>
<output>42</output>
<gadget id="calculator">1 / 42</gadget>
<output>1/42 = around 0.02381</output>
<result>C</result> | C | 0.02381 | Before leaving home for the town of Madison, Pete checks a map which shows that Madison is 5 inches from his current location, Gardensquare. Pete arrives in Madison 3.5 hours later and drove at an average speed of 60 miles per hour. At what scale, in inches per mile, is the map drawn? | {
"A": "1 / 3",
"B": "1 / 30",
"C": "1 / 42",
"D": "2",
"E": "30"
} | divide(const_1, multiply(divide(3.5, 5), const_60)) | divide(n1,n0)|multiply(#0,const_60)|divide(const_1,#1) | pete covered 3.5 * 60 = 210 miles which correspond to 5 inches on the map - - > scale in inches per mile is 5 / 210 = 1 / 42 . answer : c . | physics |
math_qa__rIpPKHwT77hEwda7 | What least number should be subtracted from 642 so that the remainder when divided by 5, 7, and 9 will leave in each case the same remainder 4 ? Pick:
A) 5
B) 6
C) 8
D) 9
E) 10 | <gadget id="calculator">5 * 7</gadget>
<output>35</output>
<gadget id="calculator">35 * 9</gadget>
<output>315</output>
<gadget id="calculator">315 * 2</gadget>
<output>630</output>
<gadget id="calculator">630 + 4</gadget>
<output>634</output>
<gadget id="calculator">642 - 634</gadget>
<output>8</output>
<result>C... | C | 8 | What least number should be subtracted from 642 so that the remainder when divided by 5, 7, and 9 will leave in each case the same remainder 4 ? | {
"A": "5",
"B": "6",
"C": "8",
"D": "9",
"E": "10"
} | subtract(642, add(multiply(multiply(multiply(5, 7), 9), const_2), 4)) | multiply(n1,n2)|multiply(n3,#0)|multiply(#1,const_2)|add(n4,#2)|subtract(n0,#3)| | "the lcm of 5 , 7 , and 9 is 315 . the next multiple is 2 * 315 = 630 . 630 + { remainder } = 630 + 4 = 634 , which is 8 less than 642 . answer : c ." | general |
math_qa__yDNVzLLNNhPxsbEn | A train 250 m long running at 72 kmph crosses a platform in 20 sec. What is the length of the platform?
Choose the correct answer: A) 150 m B) 200 m C) 250 m D) 270 m E) 300 m | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">72 * (5/18)</gadget>
<output>20</output>
<gadget id="calculator">20 * 20</gadget>
<output>400</output>
<gadget id="calculator">400 - 250</gadget>
<output>150</output>
<result>A</result> | A | 150 | A train 250 m long running at 72 kmph crosses a platform in 20 sec. What is the length of the platform? | {
"A": "150 m",
"B": "200 m",
"C": "250 m",
"D": "270 m",
"E": "300 m"
} | subtract(multiply(20, multiply(72, const_0_2778)), 250) | multiply(n1,const_0_2778)|multiply(n2,#0)|subtract(#1,n0)| | "d = 72 * 5 / 18 = 20 = 400 â € “ 250 = 150 m answer : a" | physics |
math_qa__jghfNN4Xv78gfBej | Raman's salary was decreased by 50% and subsequently increased by 50%. How much percent does he loss. Select: A) 75 B) 65 C) 45 D) 25 E) 85 | <gadget id="calculator">100 * 100</gadget>
<output>10_000</output>
<gadget id="calculator">100 - 50</gadget>
<output>50</output>
<gadget id="calculator">100 + 50</gadget>
<output>150</output>
<gadget id="calculator">50 * 150</gadget>
<output>7_500</output>
<gadget id="calculator">10_000 - 7_500</gadget>
<output>2_5... | D | 25 | Raman's salary was decreased by 50% and subsequently increased by 50%. How much percent does he loss. | {
"A": "75",
"B": "65",
"C": "45",
"D": "25",
"E": "85"
} | divide(subtract(multiply(const_100, const_100), multiply(subtract(const_100, 50), add(const_100, 50))), const_100) | add(n0,const_100)|multiply(const_100,const_100)|subtract(const_100,n0)|multiply(#0,#2)|subtract(#1,#3)|divide(#4,const_100) | explanation : let the origianl salary = rs . 100 it will be 150 % of ( 50 % of 100 ) = ( 150 / 100 ) * ( 50 / 100 ) * 100 = 75 so new salary is 75 , it means his loss is 25 % option d | gain |
math_qa__f3wrCzCekxGeothg | Pipe P can fill a tank in 6 hours, pipe Q in 12 hours and pipe R in 24 hours. If all the pipes are open, in how many hours will the tank be filled? Pick: A) 2 hours B) 2.4 hours C) 3 hours D) 3.4 hours E) 4.5 hours | <gadget id="calculator">1 / 24</gadget>
<output>1/24 = around 0.041667</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/6) + (1/12)</gadget>
<output>1/4 = around 0.25</outp... | D | 3.4 | Pipe P can fill a tank in 6 hours, pipe Q in 12 hours and pipe R in 24 hours. If all the pipes are open, in how many hours will the tank be filled? | {
"A": "2 hours",
"B": "2.4 hours",
"C": "3 hours",
"D": "3.4 hours",
"E": "4.5 hours"
} | inverse(add(divide(const_1, 24), add(divide(const_1, 6), divide(const_1, 12)))) | divide(const_1,n0)|divide(const_1,n1)|divide(const_1,n2)|add(#0,#1)|add(#3,#2)|inverse(#4)| | "explanation : part filled by ( p + q + r ) in 1 hour = ( 1 / 6 + 1 / 12 + 1 / 24 ) = 7 / 24 all the three pipes together will fill the tank = 24 / 7 = 3.4 hours answer d" | physics |
math_qa__8IERupoV0C7w16NS | 4 friends , peter , john , quincy , and andrew , are pooling their money to buy a $ 1200 item . peter has twice as much money as john . quincy has $ 20 more than peter . andrew has 15 % more than quincy . if they put all their money together and spend the $ 1200 , they will have $ 11 left . how much money does peter ha... | <gadget id="calculator">1_200 + 11</gadget>
<output>1_211</output>
<gadget id="calculator">1_211 - 20</gadget>
<output>1_191</output>
<gadget id="calculator">100 + 15</gadget>
<output>115</output>
<gadget id="calculator">115 / 100</gadget>
<output>23/20 = around 1.15</output>
<gadget id="calculator">(23/20) * 20</g... | A | 320 | 4 friends , peter , john , quincy , and andrew , are pooling their money to buy a $ 1200 item . peter has twice as much money as john . quincy has $ 20 more than peter . andrew has 15 % more than quincy . if they put all their money together and spend the $ 1200 , they will have $ 11 left . how much money does peter ha... | {
"A": "$ 320",
"B": "$ 160",
"C": "$ 200",
"D": "$ 410",
"E": "$ 325"
} | divide(subtract(subtract(add(1200, 11), 20), multiply(divide(add(const_100, 15), const_100), 20)), add(add(add(const_1, divide(const_1, const_2)), const_1), divide(add(const_100, 15), const_100))) | add(n1,n5)|add(n3,const_100)|divide(const_1,const_2)|add(#2,const_1)|divide(#1,const_100)|subtract(#0,n2)|add(#3,const_1)|multiply(n2,#4)|add(#6,#4)|subtract(#5,#7)|divide(#9,#8) | p = 2 j ; q = p + 20 ; a = 1.15 ( q ) p + j + q + r - 1200 = 11 p + 0.5 p + p + 20 + 1.15 ( p + 20 ) = 1211 p + 0.5 p + p + 20 + 1.15 p + 23 = 1211 p + 0.5 p + p + 1.15 p + 43 = 1211 p + 0.5 p + p + 1.15 p = 1168 3.65 p = 1168 p = 320 answer : a | general |
math_qa__7C3yS2vC130L3NfB | A man travelled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village Pick
A) 20 B) 87 C) 276 D) 198 E) 171 | <gadget id="calculator">25 + 4</gadget>
<output>29</output>
<gadget id="calculator">29 / 5</gadget>
<output>29/5 = around 5.8</output>
<gadget id="calculator">25 * 4</gadget>
<output>100</output>
<gadget id="calculator">100 * 2</gadget>
<output>200</output>
<gadget id="calculator">200 / 29</gadget>
<output>200/29 =... | A | 20 | A man travelled from the village to the post-office at the rate of 25 kmph and walked back at the rate of 4 kmph. If the whole journey took 5 hours 48 minutes, find the distance of the post-office from the village | {
"A": "20",
"B": "87",
"C": "276",
"D": "198",
"E": "171"
} | divide(multiply(divide(add(25, 4), 5), divide(multiply(multiply(25, 4), const_2), add(25, 4))), const_2) | add(n0,n1)|multiply(n0,n1)|divide(#0,n2)|multiply(#1,const_2)|divide(#3,#0)|multiply(#2,#4)|divide(#5,const_2) | explanation : average speed = ( 2 × a × b ) / ( a + b ) here a = 25 b = 4 average speed = 2 × 25 × 4 / ( 25 + 4 ) = 200 / 29 kmph . distance covered in 5 hours 48 minutes = speed × time distance = ( 200 / 29 ) × ( 29 / 5 ) = 40 kms distance covered in 5 hours 48 minutes = 40 kms distance of the post office from the vil... | physics |
math_qa__v4uDJNmO3OqMt9v4 | One man traveled a distance of 61 km in 9hrs. He traveled partly on footat 4 km/hr and partly on bicycle ta 9 km/hr. The distance traveled on foot is? Options
A) 11 km B) 13 km C) 16 km D) 18 km E) 19 km | <gadget id="calculator">9 + 9</gadget>
<output>18</output>
<gadget id="calculator">18 - 4</gadget>
<output>14</output>
<gadget id="calculator">14 + 2</gadget>
<output>16</output>
<result>C</result> | C | 16 | One man traveled a distance of 61 km in 9hrs. He traveled partly on footat 4 km/hr and partly on bicycle ta 9 km/hr. The distance traveled on foot is? | {
"A": "11 km",
"B": "13 km",
"C": "16 km",
"D": "18 km",
"E": "19 km"
} | add(subtract(add(9, 9), 4), const_2) | add(n1,n1)|subtract(#0,n2)|add(#1,const_2) | let the distance travelled on foot be x km . then , distance travelled on bicycle = ( 61 - x ) km . so , x + ( 61 - x ) = 9 4 9 9 x + 4 ( 61 - x ) = 9 x 36 5 x = 80 x = 16 km . c | physics |
math_qa__WGlSXt7tjT8xHnfS | Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64500. What is his profit percent? Choose the correct choice from the following choices
A) 22 B) 77 C) 17.3 D) 99 E) 88 | <gadget id="calculator">42_000 + 13_000</gadget>
<output>55_000</output>
<gadget id="calculator">64_500 - 55_000</gadget>
<output>9_500</output>
<gadget id="calculator">9_500 / 55_000</gadget>
<output>19/110 = around 0.172727</output>
<gadget id="calculator">(19/110) * 100</gadget>
<output>190/11 = around 17.272727<... | C | 17.3 | Ramu bought an old car for Rs. 42000. He spent Rs. 13000 on repairs and sold it for Rs. 64500. What is his profit percent? | {
"A": "22",
"B": "77",
"C": "17.3",
"D": "99",
"E": "88"
} | multiply(divide(subtract(64500, add(42000, 13000)), add(42000, 13000)), const_100) | add(n0,n1)|subtract(n2,#0)|divide(#1,#0)|multiply(#2,const_100)| | "total cp = rs . 42000 + rs . 13000 = rs . 55000 and sp = rs . 64500 profit ( % ) = ( 64500 - 55000 ) / 55000 * 100 = 17.3 % answer : c" | gain |
math_qa__5crBynxC7jZpHYZE | A train 200 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train? Options
A) 5 sec B) 9 sec C) 12 sec D) 18 sec E) 15 sec | <gadget id="calculator">68 - 8</gadget>
<output>60</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">60 * (5/18)</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">200 / (50/3)</gadget>
<output>12</output>
<result>C</result> | C | 12 | A train 200 m long is running at a speed of 68 kmph. How long does it take to pass a man who is running at 8 kmph in the same direction as the train? | {
"A": "5 sec",
"B": "9 sec",
"C": "12 sec",
"D": "18 sec",
"E": "15 sec"
} | divide(200, multiply(subtract(68, 8), const_0_2778)) | subtract(n1,n2)|multiply(#0,const_0_2778)|divide(n0,#1)| | "answer : c . speed of the train relative to man = ( 68 - 8 ) kmph = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec time taken by the train to cross the man = time taken by it to cover 200 m at 50 / 3 m / sec = 200 * 3 / 50 sec = 12 sec" | physics |
math_qa__6xEqA51XMlwiSQsJ | Find the value of (√1.21)/(√0.81) + (√1.44)/(√0.49) is
Choose the correct choice from the following choices: A) 195 / 63 B) 145 / 63 C) 155 / 63 D) 125 / 63 E) 185 / 63 | <gadget id="calculator">1.21 ** (1/2)</gadget>
<output>1.1</output>
<gadget id="calculator">0.81 ** (1/2)</gadget>
<output>0.9</output>
<gadget id="calculator">1.1 / 0.9</gadget>
<output>1.222222</output>
<gadget id="calculator">1.44 ** (1/2)</gadget>
<output>1.2</output>
<gadget id="calculator">0.49 ** (1/2)</gadg... | E | 2.936508 | Find the value of (√1.21)/(√0.81) + (√1.44)/(√0.49) is | {
"A": "195 / 63",
"B": "145 / 63",
"C": "155 / 63",
"D": "125 / 63",
"E": "185 / 63"
} | add(divide(sqrt(1.21), sqrt(0.81)), divide(sqrt(1.44), sqrt(0.49))) | sqrt(n0)|sqrt(n1)|sqrt(n2)|sqrt(n3)|divide(#0,#1)|divide(#2,#3)|add(#4,#5)| | "( √ 1.21 ) / ( √ 0.81 ) + ( √ 1.44 ) / ( √ 0.49 ) 11 / 9 + 12 / 7 = > ( 77 + 108 ) / 63 = > 185 / 63 answer is e ." | general |
math_qa__uXuzrMNbJcsDBLyU | The units digit of (35)^(87) + (93)^(49) is: Choose one:
A) 2 B) 4 C) 6 D) 8 E) 0 | <gadget id="calculator">49 % 4</gadget>
<output>1</output>
<gadget id="calculator">1 * 93</gadget>
<output>93</output>
<gadget id="calculator">93 % 10</gadget>
<output>3</output>
<gadget id="calculator">35 % 10</gadget>
<output>5</output>
<gadget id="calculator">3 + 5</gadget>
<output>8</output>
<result>D</result> | D | 8 | The units digit of (35)^(87) + (93)^(49) is: | {
"A": "2",
"B": "4",
"C": "6",
"D": "8",
"E": "0"
} | add(reminder(multiply(reminder(49, const_4), 93), const_10), reminder(35, const_10)) | reminder(n3,const_4)|reminder(n0,const_10)|multiply(n2,#0)|reminder(#2,const_10)|add(#3,#1)| | "the units digit of powers of 3 , cycles in a group of 4 : { 3 , 9 , 7 , 1 } 49 has the form 4 k + 1 , so the units digit of 93 ^ 49 is 3 . the units digit of powers of 5 is always 5 . 3 + 5 = 8 , so the units digit is 8 . the answer is d ." | general |
math_qa__vQexs6Ns58J6SppI | A circle in the coordinate plane passes through points (-3, -2) and (2, 4). What is the smallest possible area of that circle? Pick.
A) 13 π B) 15.25 π C) 262 √ π D) 52 π E) 64 π | <gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">2 + 4</gadget>
<output>6</output>
<gadget id="calculator">6 * 6</gadget>
<output>36</output>
<gadget id="calculator">25 + 36</gadget>
<output>61</output>
<gadget id="calculat... | B | 15.25 | A circle in the coordinate plane passes through points (-3, -2) and (2, 4). What is the smallest possible area of that circle? | {
"A": "13 π",
"B": "15.25 π",
"C": "262 √ π",
"D": "52 π",
"E": "64 π"
} | square_area(divide(sqrt(add(multiply(add(3, 2), add(3, 2)), multiply(add(2, 4), add(2, 4)))), 2)) | add(n0,n2)|add(n1,n3)|multiply(#0,#0)|multiply(#1,#1)|add(#2,#3)|sqrt(#4)|divide(#5,n1)|square_area(#6)| | "the distance between the two points is sqrt ( 61 ) . radius = sqrt ( 61 ) / 2 area = pi * ( sqrt ( 61 ) / 2 ) ^ 2 b . 15.25 π" | geometry |
math_qa__iSuyuNkWd7HR2xxb | If the cost price of 20 articles is equal to the selling price of 15 articles, what is the % profit or loss made by the merchant? Choose the correct choice from the following answers:
A) 25 % loss B) 33.33 % profit C) 20 % loss D) 20 % profit E) 5 % profit | <gadget id="calculator">100 * 15</gadget>
<output>1_500</output>
<gadget id="calculator">1_500 / 20</gadget>
<output>75</output>
<gadget id="calculator">100 - 75</gadget>
<output>25</output>
<gadget id="calculator">25 / 75</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">100 * (1/3)</gadget>
... | B | 33.33 | If the cost price of 20 articles is equal to the selling price of 15 articles, what is the % profit or loss made by the merchant? | {
"A": "25 % loss",
"B": "33.33 % profit",
"C": "20 % loss",
"D": "20 % profit",
"E": "5 % profit"
} | multiply(const_100, divide(subtract(const_100, divide(multiply(const_100, 15), 20)), divide(multiply(const_100, 15), 20))) | multiply(n1,const_100)|divide(#0,n0)|subtract(const_100,#1)|divide(#2,#1)|multiply(#3,const_100)| | "let the cost price of 1 article be $ 1 . therefore , cost price of 20 articles = 20 * 1 = $ 20 the selling price of 15 articles = cost price of 20 articles = $ 15 . now , we know the selling price of 15 articles . let us find the cost price of 15 articles . cost price of 15 articles = 15 * 1 = $ 15 . therefore , profi... | gain |
math_qa__xmUcvGVVu3w9Y6yj | In a factory, there are 50% technicians and 50% non-technicians. If the 50% of the technicians and 50% of non-technicians are permanent employees, then the percentage of workers who are temporary is?
Pick one.
A) 50 %
B) 57 %
C) 52 %
D) 22 %
E) 42 % | <gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">50 * (1/2)</gadget>
<output>25</output>
<gadget id="calculator">(1/2) * 50</gadget>
<output>25</output>
<gadget id="calculator">25 + 25</gadget>
<output>50</output>
<gadget id="calculator">100 - 50</gadget>
<output>5... | A | 50 | In a factory, there are 50% technicians and 50% non-technicians. If the 50% of the technicians and 50% of non-technicians are permanent employees, then the percentage of workers who are temporary is? | {
"A": "50 %",
"B": "57 %",
"C": "52 %",
"D": "22 %",
"E": "42 %"
} | subtract(const_100, add(multiply(50, divide(50, const_100)), multiply(divide(50, const_100), 50))) | divide(n1,const_100)|divide(n0,const_100)|multiply(n0,#0)|multiply(n1,#1)|add(#2,#3)|subtract(const_100,#4)| | "total = 100 t = 50 nt = 50 50 * ( 50 / 100 ) = 25 50 * ( 50 / 100 ) = 25 25 + 25 = 50 = > 100 - 50 = 50 % answer : a" | gain |
math_qa__vW7hFCQNl2kJk0SV | 3 interviewers , x , y , and z are interviewing 40 applicants . only with 3 interviewers ' admission can an applicant be admitted . if interviewer x admitted 15 applicants , y admitted 17 applicants , and z admitted 20 applicants , at least how many applicants get the admission ? Choose the correct option:
A) 0
B) 2
C... | <gadget id="calculator">15 - 15</gadget>
<output>0</output>
<result>A</result> | A | 0 | 3 interviewers , x , y , and z are interviewing 40 applicants . only with 3 interviewers ' admission can an applicant be admitted . if interviewer x admitted 15 applicants , y admitted 17 applicants , and z admitted 20 applicants , at least how many applicants get the admission ? | {
"A": "0",
"B": "2",
"C": "6",
"D": "8",
"E": "12"
} | subtract(15, 15) | subtract(n3,n3) | if x admitted 15 are overlapping with y admission of 17 but z does not overlap with anybody . then no student will get nod from all the 3 . hence 0 student will get admission . answer : a | geometry |
math_qa__YR8PgNdVHBQecY7p | A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/5-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15?
Choo... | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">17 - 8</gadget>
<output>9</output>
<gadget id="calculator">(1/5) * 9</gadget>
<output>9/5 = around 1.8</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(9/5) /... | C | 10.4 | A manufacturer produces a certain men's athletic shoe in integer sizes from 8 to 17. For this particular shoe, each unit increase in size corresponds to a 1/5-inch increase in the length of the shoe. If the largest size of this shoe is 20% longer than the smallest size, how long, in inches, is the shoe in size 15? | {
"A": "8.6",
"B": "9.8",
"C": "10.4",
"D": "11.2",
"E": "12.6"
} | add(divide(multiply(divide(1, 5), subtract(17, 8)), divide(20, const_100)), multiply(subtract(15, 8), divide(1, 5))) | divide(n2,n3)|divide(n4,const_100)|subtract(n1,n0)|subtract(n5,n0)|multiply(#0,#2)|multiply(#0,#3)|divide(#4,#1)|add(#6,#5)| | "let x be the length of the size 8 shoe . then 0.2 x = 9 / 5 x = 9 inches the size 15 shoe has a length of 9 + 7 / 5 = 10.4 inches the answer is c ." | general |
math_qa__uIrt6b1DxJaoFV3z | If the cost price of 60 articles is equal to the selling price of 50 articles, then what is the percent profit?
Choose the correct choice from the following choices:
A) 10 %
B) 15 %
C) 20 %
D) 25 %
E) 30 % | <gadget id="calculator">100 * 50</gadget>
<output>5_000</output>
<gadget id="calculator">5_000 / 60</gadget>
<output>250/3 = around 83.333333</output>
<gadget id="calculator">100 - (250/3)</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">(50/3) / (250/3)</gadget>
<output>1/5 = around 0.2</ou... | C | 20 | If the cost price of 60 articles is equal to the selling price of 50 articles, then what is the percent profit? | {
"A": "10 %",
"B": "15 %",
"C": "20 %",
"D": "25 %",
"E": "30 %"
} | multiply(const_100, divide(subtract(const_100, divide(multiply(const_100, 50), 60)), divide(multiply(const_100, 50), 60))) | multiply(n1,const_100)|divide(#0,n0)|subtract(const_100,#1)|divide(#2,#1)|multiply(#3,const_100)| | "let x be the cost price of one article . let y be the selling price of one article . 50 y = 60 x y = 1.2 x the answer is c ." | gain |
math_qa__60doJUcfT15cGVrO | Spheres A and B have their radil 40 cm and 10 cm respectively. The ratio of the surface area of A to the surface area of B is Pick:
A) 1 : 4
B) 1 : 16
C) 4 : 1
D) 16 : 1
E) none | <gadget id="calculator">4 * pi * (40 ** 2)</gadget>
<output>6400*pi = around 20_106.192983</output>
<gadget id="calculator">4 * pi * (10 ** 2)</gadget>
<output>400*pi = around 1_256.637061</output>
<gadget id="calculator">(6400*pi) / (400*pi)</gadget>
<output>16</output>
<result>D</result> | D | 16 | Spheres A and B have their radil 40 cm and 10 cm respectively. The ratio of the surface area of A to the surface area of B is | {
"A": "1 : 4",
"B": "1 : 16",
"C": "4 : 1",
"D": "16 : 1",
"E": "none"
} | divide(surface_sphere(40), surface_sphere(10)) | surface_sphere(n0)|surface_sphere(n1)|divide(#0,#1) | solution let the radil of a and b be r and r respectively . required ratio = 4 π r 2 / 4 π r 2 ‹ = › r 2 / r 2 ‹ = › ( r / r ) 2 ‹ = › ( 40 / 10 ) 2 ‹ = › 16 : 1 . answer d | geometry |
math_qa__WN7i2J68bFHXPQQl | A 6-liter solution is 35% alcohol. How many liters of pure alcohol must be added to produce a solution that is 50% alcohol? Choose the correct choice from the following choices.
A) 1.5
B) 1.8
C) 2.1
D) 2.4
E) 2.7 | <gadget id="calculator">6 * 35</gadget>
<output>210</output>
<gadget id="calculator">210 / 100</gadget>
<output>21/10 = around 2.1</output>
<gadget id="calculator">(21/10) * 2</gadget>
<output>21/5 = around 4.2</output>
<gadget id="calculator">6 - (21/5)</gadget>
<output>9/5 = around 1.8</output>
<result>B</result> | B | 1.8 | A 6-liter solution is 35% alcohol. How many liters of pure alcohol must be added to produce a solution that is 50% alcohol? | {
"A": "1.5",
"B": "1.8",
"C": "2.1",
"D": "2.4",
"E": "2.7"
} | subtract(6, multiply(divide(multiply(6, 35), const_100), const_2)) | multiply(n0,n1)|divide(#0,const_100)|multiply(#1,const_2)|subtract(n0,#2)| | "let x be the amount of pure alcohol required . 0.35 ( 6 ) + x = 0.5 ( x + 6 ) 0.5 x = 3 - 2.1 x = 1.8 liters the answer is b ." | general |
math_qa__Btvj9jb1C9k7ifM1 | If a*b*c=130, b*c*d = 65, c*d*e=1000 and d*e*f=250 the (a*f)/(c*d) = ?
Answers:
A) 1 / 2 B) 1 / 4 C) 3 / 4 D) 2 / 3 E) none of these | <gadget id="calculator">130 * 250</gadget>
<output>32_500</output>
<gadget id="calculator">1_000 * 65</gadget>
<output>65_000</output>
<gadget id="calculator">32_500 / 65_000</gadget>
<output>1/2 = around 0.5</output>
<result>A</result> | A | 0.5 | If a*b*c=130, b*c*d = 65, c*d*e=1000 and d*e*f=250 the (a*f)/(c*d) = ? | {
"A": "1 / 2",
"B": "1 / 4",
"C": "3 / 4",
"D": "2 / 3",
"E": "none of these"
} | divide(multiply(130, 250), multiply(1000, 65)) | multiply(n0,n3)|multiply(n1,n2)|divide(#0,#1)| | "explanation : a ∗ b ∗ c / b ∗ c ∗ d = 130 / 65 = > a / d = 2 d ∗ e ∗ f / c ∗ d ∗ e = 250 / 1000 = > f / c = 14 a / d * f / c = 2 * 1 / 4 = 1 / 2 answer : a" | general |
math_qa__9r79YoFMlOwbMTX9 | Working at a constant rate, P can finish a job in 4 hours. Q, also working at a constant rate, can finish the same job in 20 hours. If they work together for 3 hours, how many more minutes will it take P to finish the job, working alone at his constant rate? Select the correct option.
A) 12 B) 15 C) 20 D) 21 E) 24 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 20</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/4) + (1/20)</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(3/10) * 3</gadget>
<output>9/10 = around 0.9</output>
<gad... | E | 24 | Working at a constant rate, P can finish a job in 4 hours. Q, also working at a constant rate, can finish the same job in 20 hours. If they work together for 3 hours, how many more minutes will it take P to finish the job, working alone at his constant rate? | {
"A": "12",
"B": "15",
"C": "20",
"D": "21",
"E": "24"
} | multiply(divide(subtract(const_1, multiply(add(inverse(4), inverse(20)), 3)), inverse(4)), const_60) | inverse(n0)|inverse(n1)|add(#0,#1)|multiply(#2,n2)|subtract(const_1,#3)|divide(#4,#0)|multiply(#5,const_60)| | "each hour they complete 1 / 4 + 1 / 20 = 3 / 10 of the job . in 3 hours , they complete 3 ( 3 / 10 ) = 9 / 10 of the job . the time for p to finish is ( 1 / 10 ) / ( 1 / 4 ) = ( 2 / 5 ) hour = 24 minutes the answer is e ." | physics |
math_qa__aB5Hd5fKfEXeM7Wb | Free notebooks were distributed in a class among all the students. Each student got notebooks which were 1/8th of the number of student. If number of student been half, then each child would have received 16notebooks in total. Find the total number of books distributed among students? Select.
A) 430 B) 450 C) 460 D... | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">(1/2) * 16</gadget>
<output>8</output>
<gadget id="calculator">8 * 8</gadget>
<output>64</output>
<gadget id="calculator">64 * 8</gadget>
<output>512</output>
<result>E</result> | E | 512 | Free notebooks were distributed in a class among all the students. Each student got notebooks which were 1/8th of the number of student. If number of student been half, then each child would have received 16notebooks in total. Find the total number of books distributed among students? | {
"A": "430",
"B": "450",
"C": "460",
"D": "480",
"E": "512"
} | multiply(multiply(multiply(divide(const_1, const_2), 16), 8), 8) | divide(const_1,const_2)|multiply(n2,#0)|multiply(n1,#1)|multiply(n1,#2) | let suppose total number of students in class are x . then from the question we can conclude it that , x ∗ 18 x = x 2 ∗ 16 = > x = 64 total notebooks , = 18 x 2 = ( 18 ∗ 64 ∗ 64 ) = 512 e | general |
math_qa__FcjjDbRY8AYmdW3u | Jean drew a gumball at random from a jar of pink and blue gumballs. Since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. The second gumball also happened to be blue and she replaced it as well. If the probability of her drawing the two blue gumballs was 16/36, what is the... | <gadget id="calculator">16 / 36</gadget>
<output>4/9 = around 0.444444</output>
<gadget id="calculator">(4/9) ** (1/2)</gadget>
<output>2/3 = around 0.666667</output>
<gadget id="calculator">1 - (2/3)</gadget>
<output>1/3 = around 0.333333</output>
<result>D</result> | D | 0.333333 | Jean drew a gumball at random from a jar of pink and blue gumballs. Since the gumball she selected was blue and she wanted a pink one, she replaced it and drew another. The second gumball also happened to be blue and she replaced it as well. If the probability of her drawing the two blue gumballs was 16/36, what is the... | {
"A": "1 / 49",
"B": "4 / 7",
"C": "3 / 7",
"D": "1 / 3",
"E": "40 / 49"
} | subtract(const_1, sqrt(divide(16, 36))) | divide(n0,n1)|sqrt(#0)|subtract(const_1,#1)| | "the probability of drawing a pink gumball both times is the same . the probability that she drew two blue gumballs = 16 / 36 = ( 2 / 3 ) * ( 2 / 3 ) therefore probability that the next one she draws is pink = 1 / 3 option ( d )" | general |
math_qa__IDb3Ciy5XkpgEy68 | If x is a sum of all even integers on the interval 13...65 and y is their number, what is the GCD (x, y)? Choose the correct choice from the following.
A) 1 B) 13 C) 26 D) 52 E) 1014 | <gadget id="calculator">13 - 10</gadget>
<output>3</output>
<gadget id="calculator">3 + 2</gadget>
<output>5</output>
<gadget id="calculator">5 * 5</gadget>
<output>25</output>
<result>C</result> | C | 26 | If x is a sum of all even integers on the interval 13...65 and y is their number, what is the GCD (x, y)? | {
"A": "1",
"B": "13",
"C": "26",
"D": "52",
"E": "1014"
} | multiply(add(subtract(13, const_10), const_2), add(subtract(13, const_10), const_2)) | subtract(n0,const_10)|add(#0,const_2)|multiply(#1,#1)| | "x = 14 + 16 + . . . + 64 = ( largest + smallest ) / 2 * ( # of terms ) = ( 14 + 64 ) / 2 * 26 = 39 * 26 . gcd of 26 and 39 * 26 is 26 . answer : c ." | general |
math_qa__0tcWlLBGOvX1mgJW | A child want to buy 5 new toys. If there are 15 toys that satisfy the child's criteria,in how many different ways can the child select the 5 new toys if the order of selection doesn't matter.
Answers:
A) 210
B) 1365
C) 3003
D) 5005
E) 3030 | <gadget id="calculator">binomial(15, 5)</gadget>
<output>3_003</output>
<result>C</result> | C | 3,003 | A child want to buy 5 new toys. If there are 15 toys that satisfy the child's criteria,in how many different ways can the child select the 5 new toys if the order of selection doesn't matter. | {
"A": "210",
"B": "1365",
"C": "3003",
"D": "5005",
"E": "3030"
} | choose(15, 5) | choose(n1,n0) | the number of ways of choosing 5 toys out of 15 are counted by = 15 c 5 ways = 3003 answer : option c | probability |
math_qa__U5CISMZQ9fzPIAOi | Two boys started running simultaneously around a circular track of length 4800 m from the same point at speeds of 60 km/hr and 100 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions?
Choose the correct choice.
A) 105
B) 106
C) 107
D) 108
E) 109 | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">60 * (5/18)</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">100 * (5/18)</gadget>
<output>250/9 = around 27.777778</output>
<gadget id="calculator">(50/3) + (250/9)</gadget>
<output>400/... | D | 108 | Two boys started running simultaneously around a circular track of length 4800 m from the same point at speeds of 60 km/hr and 100 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions? | {
"A": "105",
"B": "106",
"C": "107",
"D": "108",
"E": "109"
} | divide(4800, add(multiply(60, const_0_2778), multiply(100, const_0_2778))) | multiply(n1,const_0_2778)|multiply(n2,const_0_2778)|add(#0,#1)|divide(n0,#2) | time taken to meet for the first time anywhere on the track = length of the track / relative speed = 4800 / ( 60 + 100 ) 5 / 18 = 4800 * 18 / 160 * 5 = 108 seconds . answer : d | physics |
math_qa__pk0G76D8zLQ8gaRS | A contractor is engaged for 30days on the condition that he receives Rs.25 for each dayhe works &is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many dayswas he absent? Pick one
A) 8 B) 10 C) 12 D) 15 E) 17 | <gadget id="calculator">30 * 7.5</gadget>
<output>225</output>
<gadget id="calculator">225 + 425</gadget>
<output>650</output>
<gadget id="calculator">25 + 7.5</gadget>
<output>32.5</output>
<gadget id="calculator">650 / 32.5</gadget>
<output>20</output>
<gadget id="calculator">30 - 20</gadget>
<output>10</output>
... | B | 10 | A contractor is engaged for 30days on the condition that he receives Rs.25 for each dayhe works &is fined Rs.7.50 for each day is absent. He gets Rs.425 in all. For how many dayswas he absent? | {
"A": "8",
"B": "10",
"C": "12",
"D": "15",
"E": "17"
} | subtract(30, divide(add(multiply(30, 7.50), 425), add(25, 7.50))) | add(n1,n2)|multiply(n0,n2)|add(n3,#1)|divide(#2,#0)|subtract(n0,#3)| | "30 * 25 = 750 425 - - - - - - - - - - - 325 25 + 7.50 = 32.5 325 / 32.5 = 10 b" | physics |
math_qa__wKO7XHVHhxtkCCQB | In what time will two trains cross each other completely, which are running on the same parallel lines in opposite directions, each 100 m in length both trains running with a speed of 80 kmph?
Choose one: A) 4.5 sec B) 4.8 sec C) 4.2 sec D) 5.0 sec E) 5.2 sec | <gadget id="calculator">100 + 100</gadget>
<output>200</output>
<gadget id="calculator">80 + 80</gadget>
<output>160</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">160 * (5/18)</gadget>
<output>400/9 = around 44.444444</output>
<gadget id="calculato... | A | 4.5 | In what time will two trains cross each other completely, which are running on the same parallel lines in opposite directions, each 100 m in length both trains running with a speed of 80 kmph? | {
"A": "4.5 sec",
"B": "4.8 sec",
"C": "4.2 sec",
"D": "5.0 sec",
"E": "5.2 sec"
} | divide(add(100, 100), multiply(add(80, 80), const_0_2778)) | add(n0,n0)|add(n1,n1)|multiply(#1,const_0_2778)|divide(#0,#2) | d = 100 m + 100 m = 200 m * 1 / 1000 = 0.2 kms rs = 80 + 80 = 160 kmph t = ( 0.2 / 160 ) * 3600 = 4.5 sec answer : a | physics |
math_qa__Mah35Jy39H8LXoU8 | The profit earned by selling an article for 892 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit? Choose the correct choice from the following options:
A) 960
B) 1005
C) 1,200
D) 920
E) none of these | <gadget id="calculator">892 + 448</gadget>
<output>1_340</output>
<gadget id="calculator">1_340 / 2</gadget>
<output>670</output>
<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + (1/2)</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">670 * (3/... | B | 1,005 | The profit earned by selling an article for 892 is equal to the loss incurred when the same article is sold for 448. What should be the sale price of the article for making 50 per cent profit? | {
"A": "960",
"B": "1005",
"C": "1,200",
"D": "920",
"E": "none of these"
} | multiply(divide(add(892, 448), const_2), add(const_1, divide(50, const_100))) | add(n0,n1)|divide(n2,const_100)|add(#1,const_1)|divide(#0,const_2)|multiply(#2,#3) | let the profit or loss be x and 892 – x = 448 + x or , x = 444 ⁄ 2 = 222 \ cost price of the article = 892 – x = 448 + x = 670 \ sp of the article = 670 × 150 ⁄ 100 = 1005 answer b | gain |
math_qa__Pf1ejOTKeew8K7yN | A certain sum is invested at simple interest at 15% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 720. Find the sum? Answers
A) s . 7000 B) s . 9000 C) s . 14000 D) s . 12000 E) s . 27000 | <gadget id="calculator">15 - 12</gadget>
<output>3</output>
<gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">6 / 100</gadget>
<output>3/50 = around 0.06</output>
<gadget id="calculator">720 / (3/50)</gadget>
<output>12_000</output>
<result>D</result> | D | 12,000 | A certain sum is invested at simple interest at 15% p.a. for two years instead of investing at 12% p.a. for the same time period. Therefore the interest received is more by Rs. 720. Find the sum? | {
"A": "s . 7000",
"B": "s . 9000",
"C": "s . 14000",
"D": "s . 12000",
"E": "s . 27000"
} | divide(720, divide(multiply(subtract(15, 12), const_2), const_100)) | subtract(n0,n1)|multiply(#0,const_2)|divide(#1,const_100)|divide(n2,#2)| | "let the sum be rs . x . ( x * 15 * 2 ) / 100 - ( x * 12 * 2 ) / 100 = 720 = > 30 x / 100 - 24 x / 100 = 720 = > 6 x / 100 = 720 = > x = 12000 . answer : d" | gain |
math_qa__ROiepFoY2cRPMpcn | Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $4 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 18 perce... | <gadget id="calculator">18 / 100</gadget>
<output>9/50 = around 0.18</output>
<gadget id="calculator">18 * 2</gadget>
<output>36</output>
<gadget id="calculator">(9/50) * 36</gadget>
<output>162/25 = around 6.48</output>
<gadget id="calculator">4 - (162/25)</gadget>
<output>-62/25 = around -2.48</output>
<gadget id... | A | 45 | Fox jeans regularly sell for $15 a pair and Pony jeans regularly sell for $18 a pair. During a sale these regular unit prices are discounted at different rates so that a total of $4 is saved by purchasing 5 pairs of jeans: 3 pairs of Fox jeans and 2 pairs of Pony jeans. If the sum of the two discounts rates is 18 perce... | {
"A": "45 %",
"B": "13 %",
"C": "11 %",
"D": "12 %",
"E": "15 %"
} | multiply(subtract(divide(18, const_100), divide(subtract(4, multiply(divide(18, const_100), multiply(18, 2))), subtract(multiply(15, 3), multiply(18, 2)))), const_100) | divide(n6,const_100)|multiply(n1,n5)|multiply(n0,n4)|multiply(#0,#1)|subtract(#2,#1)|subtract(n2,#3)|divide(#5,#4)|subtract(#0,#6)|multiply(#7,const_100)| | "you know that fox jeans costs $ 15 , and pony jeans costs $ 18 , you also know that 3 pairs of fox jeans and 2 pairs of pony jeans were purchased . so 3 ( 15 ) = 45 - fox 2 ( 18 ) = 36 - pony the total discount discount is $ 4 and you are asked to find the percent discount of pony jeans , so 45 ( 18 - x ) / 100 + 36 (... | gain |
math_qa__Yho4Lk3hqAPG5S2u | In a building there are 5 rooms.Each having a equal area .The length of the room is 4m and breadht is 5 m.The height of the rooms are 2m. If 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room ? Options.
A) 320 B) 340 C) 300 D) 330 E) 360 | <gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">20 * 17</gadget>
<output>340</output>
<result>B</result> | B | 340 | In a building there are 5 rooms.Each having a equal area .The length of the room is 4m and breadht is 5 m.The height of the rooms are 2m. If 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room ? | {
"A": "320",
"B": "340",
"C": "300",
"D": "330",
"E": "360"
} | multiply(multiply(4, 5), 17) | multiply(n0,n1)|multiply(n4,#0) | explanation : area of the floor = 4 m x 5 m = 20 m 2 17 bricks are needed to make 1 m 2 area . so to make 20 m 2 no of bricks needed = 17 x 20 = 340 answer : b | physics |
math_qa__uTJZNJJuhdEKduNF | A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is
Choose the correct choice from the following.
A) 720 B) 900 C) 1200 D) 1800 E) none | <gadget id="calculator">12 * 15</gadget>
<output>180</output>
<gadget id="calculator">2 * 180</gadget>
<output>360</output>
<gadget id="calculator">12 * 2</gadget>
<output>24</output>
<gadget id="calculator">15 * 2</gadget>
<output>30</output>
<gadget id="calculator">24 + 30</gadget>
<output>54</output>
<gadget id... | C | 1,200 | A hall is 15 m long and 12 m broad. If the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls, the volume of the hall is | {
"A": "720",
"B": "900",
"C": "1200",
"D": "1800",
"E": "none"
} | volume_rectangular_prism(15, 12, divide(multiply(const_2, rectangle_area(12, 15)), add(multiply(12, const_2), multiply(15, const_2)))) | multiply(n1,const_2)|multiply(n0,const_2)|rectangle_area(n0,n1)|add(#0,#1)|multiply(#2,const_2)|divide(#4,#3)|volume_rectangular_prism(n0,n1,#5)| | "solution 2 ( 15 + 12 ) × h = 2 ( 15 x 12 ) ‹ = › h = 180 / 27 m = 20 / 3 m volume = ( 15 × 12 × 20 / 3 ) m 3 ‹ = › 1200 m 3 . answer c" | geometry |
math_qa__R9e3oxwOiQS7VK6P | Harkamal purchased 9kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper? Choose the correct answer:
A) 1120
B) 1065
C) 1070
D) 1075
E) 1080 | <gadget id="calculator">9 * 70</gadget>
<output>630</output>
<gadget id="calculator">9 * 55</gadget>
<output>495</output>
<gadget id="calculator">630 + 495</gadget>
<output>1_125</output>
<result>A</result> | A | 1,120 | Harkamal purchased 9kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg. How much amount did he pay to the shopkeeper? | {
"A": "1120",
"B": "1065",
"C": "1070",
"D": "1075",
"E": "1080"
} | add(multiply(9, 70), multiply(9, 55)) | multiply(n0,n1)|multiply(n2,n3)|add(#0,#1)| | "cost of 9 kg grapes = 70 × 9 = 630 . cost of 9 kg of mangoes = 55 × 9 = 490 . total cost he has to pay = 630 + 490 = 1120 a" | gain |
math_qa__FPUWWvM7xGvzjIdP | If f(x) = 2x^2 + y, and f(2) = 100, what is the value of f(5)?
Choose the correct choice from the following:
A) 104
B) 60
C) 52
D) 50
E) 142 | <gadget id="calculator">2 ** 2</gadget>
<output>4</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">100 - 8</gadget>
<output>92</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">2 * 25</gadget>
<output>50</output>
<gadget id="calcu... | E | 142 | If f(x) = 2x^2 + y, and f(2) = 100, what is the value of f(5)? | {
"A": "104",
"B": "60",
"C": "52",
"D": "50",
"E": "142"
} | add(subtract(100, multiply(power(2, 2), 2)), multiply(2, power(5, 2))) | power(n4,n0)|power(n0,n0)|multiply(n0,#0)|multiply(n0,#1)|subtract(n3,#3)|add(#2,#4)| | "f ( x ) = 2 x ^ 2 + y f ( 2 ) = 100 = > 2 * ( 2 ) ^ 2 + y = 100 = > 8 + y = 100 = > y = 92 f ( 5 ) = 2 * ( 5 ) ^ 2 + 92 = 142 answer e" | general |
math_qa__qZVbH16Vo2kOQZc9 | A sum of Rs. 2717 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum? Select the correct option:
A) 1672 B) 1640 C) 1677 D) 1698 E) 1679 | <gadget id="calculator">3 * 5</gadget>
<output>15</output>
<gadget id="calculator">15 * 2_717</gadget>
<output>40_755</output>
<gadget id="calculator">8 * 3</gadget>
<output>24</output>
<gadget id="calculator">15 + 24</gadget>
<output>39</output>
<gadget id="calculator">40_755 / 39</gadget>
<output>1_045</output>
... | A | 1,672 | A sum of Rs. 2717 is lent into two parts so that the interest on the first part for 8 years at 3% per annum may be equal to the interest on the second part for 3 years at 5% per annum. Find the second sum? | {
"A": "1672",
"B": "1640",
"C": "1677",
"D": "1698",
"E": "1679"
} | subtract(2717, divide(multiply(multiply(3, 5), 2717), add(multiply(3, 5), multiply(8, 3)))) | multiply(n2,n4)|multiply(n1,n2)|add(#0,#1)|multiply(n0,#0)|divide(#3,#2)|subtract(n0,#4)| | "( x * 8 * 3 ) / 100 = ( ( 2717 - x ) * 3 * 5 ) / 100 24 x / 100 = 40755 / 100 - 15 x / 100 39 x = 40755 = > x = 1045 second sum = 2717 â € “ 1045 = 1672 answer : a" | gain |
math_qa__tFpO2eL9WctCZEnj | If 35% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class? Choose one
A) 110 B) 330 C) 572 D) 430 E) 880 | <gadget id="calculator">880 / 100</gadget>
<output>44/5 = around 8.8</output>
<gadget id="calculator">100 - 35</gadget>
<output>65</output>
<gadget id="calculator">(44/5) * 65</gadget>
<output>572</output>
<result>C</result> | C | 572 | If 35% of the 880 students at a certain college are enrolled in biology classes, how many students at the college are NOT enrolled in a biology class? | {
"A": "110",
"B": "330",
"C": "572",
"D": "430",
"E": "880"
} | multiply(divide(880, const_100), subtract(const_100, 35)) | divide(n1,const_100)|subtract(const_100,n0)|multiply(#0,#1)| | "students enrolled in biology are 35 % and therefore not enrolled are 65 % . so of 880 is 880 * . 65 = 572 answer is c 572" | other |
math_qa__etzzYaF502XoesQP | In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 28 percent are juniors and 75 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students?
Options: A) 16 B) 24 C) 32 D) 40 E) 48 | <gadget id="calculator">160 / 800</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(1/5) * 100</gadget>
<output>20</output>
<gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">80 - 28</gadget>
<output>52</output>
<gadget id="calculator">100 - 75</gadget>
<output>2... | A | 16 | In a sample of 800 high school students in which all students are either freshmen, sophomores, juniors, or seniors, 28 percent are juniors and 75 percent are not sophomores. If there are 160 seniors, how many more freshmen than sophomores are there among the sample of students? | {
"A": "16",
"B": "24",
"C": "32",
"D": "40",
"E": "48"
} | subtract(divide(multiply(subtract(subtract(subtract(const_100, multiply(divide(160, 800), const_100)), 28), subtract(const_100, 75)), 800), const_100), divide(multiply(subtract(const_100, 75), 800), const_100)) | divide(n3,n0)|subtract(const_100,n2)|multiply(#0,const_100)|multiply(n0,#1)|divide(#3,const_100)|subtract(const_100,#2)|subtract(#5,n1)|subtract(#6,#1)|multiply(n0,#7)|divide(#8,const_100)|subtract(#9,#4)| | "200 are sophomores . the number of freshmen is 600 - 160 - 0.28 ( 800 ) = 216 the answer is a ." | gain |
math_qa__a81eKn3SGS2njSgY | On a certain island, 5% of the 10000 inhabitants are one-legged and half of the others go barefooted. What is the least number of Shoes needed in the island?
Select
A) 10200
B) 10000
C) 9500
D) 9000
E) none | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) * 10_000</gadget>
<output>500</output>
<gadget id="calculator">10_000 - 500</gadget>
<output>9_500</output>
<gadget id="calculator">9_500 / 2</gadget>
<output>4_750</output>
<gadget id="calculator">4_750 * 2<... | B | 10,000 | On a certain island, 5% of the 10000 inhabitants are one-legged and half of the others go barefooted. What is the least number of Shoes needed in the island? | {
"A": "10200",
"B": "10000",
"C": "9500",
"D": "9000",
"E": "none"
} | add(multiply(divide(subtract(10000, multiply(divide(5, const_100), 10000)), const_2), const_2), multiply(multiply(divide(5, const_100), 10000), const_1)) | divide(n0,const_100)|multiply(n1,#0)|multiply(#1,const_1)|subtract(n1,#1)|divide(#3,const_2)|multiply(#4,const_2)|add(#5,#2) | explanation : = > one - legged = 5 % of 10000 = 500 = > remaining = 10000 - 500 = 9500 = > barefooted = 9500 / 2 = 4750 = > remaining people = 9500 - 4750 = 4750 = > hence required number of shoes = 4750 * 2 + 500 * 1 = 10000 hence ( b ) is the correct answer . answer : b | general |
math_qa__GALHH2bgQe0B9Bel | A person borrows Rs. 9000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year. Choose the correct choice from the following: A) 100 rs B) 150 rs C) 160 rs D) 180 rs E) 200 rs | <gadget id="calculator">9_000 * 6</gadget>
<output>54_000</output>
<gadget id="calculator">54_000 * 2</gadget>
<output>108_000</output>
<gadget id="calculator">108_000 / 100</gadget>
<output>1_080</output>
<gadget id="calculator">9_000 * 4</gadget>
<output>36_000</output>
<gadget id="calculator">36_000 * 2</gadget>... | D | 180 | A person borrows Rs. 9000 for 2 years at 4% p.a. simple interest. He immediately lends it to another person at 6 p.a for 2 years. Find his gain in the transaction per year. | {
"A": "100 rs",
"B": "150 rs",
"C": "160 rs",
"D": "180 rs",
"E": "200 rs"
} | divide(subtract(divide(multiply(multiply(9000, 6), 2), const_100), divide(multiply(multiply(9000, 4), 2), const_100)), 2) | multiply(n0,n3)|multiply(n0,n2)|multiply(n1,#0)|multiply(n1,#1)|divide(#2,const_100)|divide(#3,const_100)|subtract(#4,#5)|divide(#6,n1)| | "gain in 2 years = [ ( 9000 * 6 * 2 ) / 100 ] - [ ( 9000 * 4 * 2 ) / 100 ] 1080 - 720 = 360 gain in 1 year = ( 360 / 2 ) = 180 rs answer : d" | gain |
math_qa__pbzC2TO3KvA8kol1 | A tank holds x gallons of a saltwater solution that is 20% salt by volume. One Fourth of the water is evaporated, leaving all of the salt. When 7 Gallons of water and 14 gallons of salt are added, the resulting mixture is 33 1/3 % salt by volume. What is the value of x?
Pick:
A) 37.5
B) 75
C) 105
D) 150
E) 175 | <gadget id="calculator">14 * 2</gadget>
<output>28</output>
<gadget id="calculator">28 - 7</gadget>
<output>21</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">1 / 4</gadget>
<out... | C | 105 | A tank holds x gallons of a saltwater solution that is 20% salt by volume. One Fourth of the water is evaporated, leaving all of the salt. When 7 Gallons of water and 14 gallons of salt are added, the resulting mixture is 33 1/3 % salt by volume. What is the value of x? | {
"A": "37.5",
"B": "75",
"C": "105",
"D": "150",
"E": "175"
} | divide(subtract(multiply(14, const_2), 7), subtract(subtract(subtract(1, divide(20, const_100)), multiply(subtract(1, divide(20, const_100)), divide(1, const_4))), multiply(const_2, divide(20, const_100)))) | divide(n0,const_100)|divide(n4,const_4)|multiply(n2,const_2)|multiply(#0,const_2)|subtract(#2,n1)|subtract(n4,#0)|multiply(#1,#5)|subtract(#5,#6)|subtract(#7,#3)|divide(#4,#8)| | "nope , 150 . i can only get it by following pr ' s backsolving explanation . i hate that . original mixture has 20 % salt and 80 % water . total = x out of which salt = 0.2 x and water = 0.8 x now , 1 / 4 water evaporates and all salt remains . so what remains is 0.2 x salt and 0.6 x water . now 14 gallons salt is add... | general |
math_qa__mRlvTjJqHwgEdd7z | A car takes 12 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/4th of the previous time? Choose one.
A) 25 kmph B) 60 kmph C) 100 kmph D) 120 kmph E) 180 kmph | <gadget id="calculator">12 * 3</gadget>
<output>36</output>
<gadget id="calculator">36 / 4</gadget>
<output>9</output>
<gadget id="calculator">540 / 9</gadget>
<output>60</output>
<result>B</result> | B | 60 | A car takes 12 hours to cover a distance of 540 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/4th of the previous time? | {
"A": "25 kmph",
"B": "60 kmph",
"C": "100 kmph",
"D": "120 kmph",
"E": "180 kmph"
} | divide(540, divide(multiply(12, 3), 4)) | multiply(n0,n2)|divide(#0,n3)|divide(n1,#1)| | "time = 12 distence = 540 3 / 4 of 12 hours = 12 * 3 / 4 = 9 hours required speed = 540 / 9 = 60 kmph b )" | physics |
math_qa__FRXFTxIy64UPKB0e | A soccer team played 140 games and won 50 percent of them. How many games did it win? Options:
A) 140 B) 94 C) 104 D) 70 E) 80 | <gadget id="calculator">50 * 140</gadget>
<output>7_000</output>
<gadget id="calculator">7_000 / 100</gadget>
<output>70</output>
<result>D</result> | D | 70 | A soccer team played 140 games and won 50 percent of them. How many games did it win? | {
"A": "140",
"B": "94",
"C": "104",
"D": "70",
"E": "80"
} | divide(multiply(50, 140), const_100) | multiply(n0,n1)|divide(#0,const_100)| | "50 % of 140 = x 0.50 * 140 = x 70 = x answer : d" | gain |
math_qa__q9fp3ptZGZPGJV5z | The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 224 different signs. If the company used 222 of the signs fully and two remained unused, how many additional area codes can be created if the company uses ... | <gadget id="calculator">224 - 222</gadget>
<output>2</output>
<gadget id="calculator">222 * 2</gadget>
<output>444</output>
<gadget id="calculator">444 * 2</gadget>
<output>888</output>
<result>C</result> | C | 892 | The telephone company wants to add an area code composed of 2 letters to every phone number. In order to do so, the company chose a special sign language containing 224 different signs. If the company used 222 of the signs fully and two remained unused, how many additional area codes can be created if the company uses ... | {
"A": "246",
"B": "248",
"C": "892",
"D": "15,128",
"E": "20,256"
} | multiply(multiply(222, subtract(224, 222)), subtract(224, 222)) | subtract(n1,n2)|multiply(n2,#0)|multiply(#1,#0)| | "# of 2 - letter codes possible from 224 different signs = 224 * 224 . # of 2 - letter codes possible from 222 different signs = 222 * 222 . the difference = 224 ^ 2 - 222 ^ 2 = ( 224 - 222 ) ( 224 + 222 ) = 892 . answer : c ." | general |
math_qa__Eub2Ke4gVZ1YWiCZ | in 6 successive games , a baseball team scored 1 runs once , 4 runs twice , and 5 runs 3 times . what was the average ( arithmetic mean ) number of runs the team scored per game over the 6 - game period ? Choose the correct choice from the following answers.
A) 8 B) 7 C) 6 D) 5 E) 4 | <gadget id="calculator">5 * 3</gadget>
<output>15</output>
<gadget id="calculator">1 * 1</gadget>
<output>1</output>
<gadget id="calculator">4 * 2</gadget>
<output>8</output>
<gadget id="calculator">1 + 8</gadget>
<output>9</output>
<gadget id="calculator">15 + 9</gadget>
<output>24</output>
<gadget id="calculator... | E | 4 | in 6 successive games , a baseball team scored 1 runs once , 4 runs twice , and 5 runs 3 times . what was the average ( arithmetic mean ) number of runs the team scored per game over the 6 - game period ? | {
"A": "8",
"B": "7",
"C": "6",
"D": "5",
"E": "4"
} | divide(add(multiply(5, 3), add(multiply(1, 1), multiply(4, const_2))), 6) | multiply(n1,n1)|multiply(n2,const_2)|multiply(n3,n4)|add(#0,#1)|add(#3,#2)|divide(#4,n0) | 1 runs once ( one game ) 4 runs twice ( two game ) 5 runs three times ( three games ) so we have ( 1 * 1 + 4 * 2 + 5 * 3 ) / 6 = 24 / 6 = 4 . ans : e . | general |
math_qa__8lOtzFxm6CA3wgQF | The surface of a cube is 54sq cm. Find its volume? Choose the correct choice from the following:
A) 8 cc
B) 27 cc
C) 2 cc
D) 4 cc
E) 6 cc | <gadget id="calculator">2 + 4</gadget>
<output>6</output>
<gadget id="calculator">54 / 6</gadget>
<output>9</output>
<gadget id="calculator">9 ** (1/2)</gadget>
<output>3</output>
<gadget id="calculator">3 ** 3</gadget>
<output>27</output>
<result>B</result> | B | 27 | The surface of a cube is 54sq cm. Find its volume? | {
"A": "8 cc",
"B": "27 cc",
"C": "2 cc",
"D": "4 cc",
"E": "6 cc"
} | volume_cube(sqrt(divide(54, add(const_2, const_4)))) | add(const_2,const_4)|divide(n0,#0)|sqrt(#1)|volume_cube(#2)| | "6 a 2 = 54 = 6 * 9 a = 3 = > a 3 = 27 cc answer : b" | geometry |
math_qa__0OSnCTqc8LYlpcxK | A cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 6 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ? Choose the correct choice from the following answers:
A) 4.5 hrs
B) 5 hrs
C) 6.5 hrs
D) 7.2 hrs
E) 30 hrs | <gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">(1/5) - (1/6)</gadget>
<output>1/30 = around 0.033333</output>
<gadget id="calculator">1 / (1/30)</gadget>
<output>30</output>
<result>E</res... | E | 30 | A cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 6 hours. If both the taps are opened simultaneously, then after how much time will the cistern get filled ? | {
"A": "4.5 hrs",
"B": "5 hrs",
"C": "6.5 hrs",
"D": "7.2 hrs",
"E": "30 hrs"
} | divide(const_1, subtract(divide(const_1, 5), divide(const_1, 6))) | divide(const_1,n0)|divide(const_1,n1)|subtract(#0,#1)|divide(const_1,#2)| | "net part filled in 1 hour = 1 / 5 - 1 / 6 = 1 / 30 therefore the cistern will be filled in 30 hours . answer : e" | physics |
math_qa__8x8MHOwgjOsHo9Qa | On a certain day, Tim invested $600 at 10 percent annual interest, compounded annually, and Lana invested 1,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investmen... | <gadget id="calculator">10 / 100</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 + (1/10)</gadget>
<output>11/10 = around 1.1</output>
<gadget id="calculator">(11/10) ** 2</gadget>
<output>121/100 = around 1.21</output>
<gadget id="calculator">600 * (121/100)</gadget>
<output>726</output>
<gad... | C | 23.5 | On a certain day, Tim invested $600 at 10 percent annual interest, compounded annually, and Lana invested 1,000 at 5 percent annual interest, compounded annually.The total amount of interest earned by Tim’s investment in the first 2 years was how much greater than the total amount of interest earned by Lana’s investmen... | {
"A": "$ 5.5",
"B": "$ 15.5",
"C": "$ 23.5",
"D": "$ 100",
"E": "$ 105"
} | subtract(subtract(multiply(600, power(add(const_1, divide(10, const_100)), 2)), 600), subtract(multiply(power(add(const_1, divide(5, const_100)), 2), 1,000), 1,000)) | divide(n1,const_100)|divide(n3,const_100)|add(#0,const_1)|add(#1,const_1)|power(#2,n4)|power(#3,n4)|multiply(n0,#4)|multiply(n2,#5)|subtract(#6,n0)|subtract(#7,n2)|subtract(#8,#9)| | "compounded annually means that the interest is applied once per year . one can have 10 % annual interest compounded monthly - in this case 10 % / 12 would be applied each month , or 10 % annual interest compounded daily etc . with respect to the problem at hand , at the end of two years , tim would have 600 ( 1.10 ) ^... | gain |
math_qa__QYYcnEdq0jNggFad | A $500 investment and a $1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have?
Choose the correct choice from the following choices: A) 9 % B) 10 % C) 105 / 8... | <gadget id="calculator">3 * 500</gadget>
<output>1_500</output>
<gadget id="calculator">500 + 1_500</gadget>
<output>2_000</output>
<gadget id="calculator">8.5 / 100</gadget>
<output>0.085</output>
<gadget id="calculator">2_000 * 0.085</gadget>
<output>170</output>
<gadget id="calculator">7 / 100</gadget>
<output>7... | A | 9 | A $500 investment and a $1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments. If the $500 investment has a yearly return of 7 percent, what percent yearly return does the $1,500 investment have? | {
"A": "9 %",
"B": "10 %",
"C": "105 / 8 %",
"D": "11 %",
"E": "12 %"
} | multiply(divide(subtract(multiply(add(500, multiply(const_3, 500)), divide(8.5, const_100)), multiply(500, divide(7, const_100))), multiply(const_3, 500)), const_100) | divide(n2,const_100)|divide(n4,const_100)|multiply(n0,const_3)|add(n0,#2)|multiply(n0,#1)|multiply(#3,#0)|subtract(#5,#4)|divide(#6,#2)|multiply(#7,const_100)| | "the equation we can form the question : return on total investment = sum of individual investments ( 500 + 1500 ) ( 8.5 ) = ( 500 ∗ 7 ) + ( 1500 x ) , where x is the return on investment of 1500 . solving the equation , we get x = 9 % ( option a ) answer : a" | gain |
math_qa__3XOSsq7TEFEqFx3L | A trader bought a car at 30% discount on its original price. He sold it at a 70% increase on the price he bought it. What percent of profit did he make on the original price? Choose the correct choice from the following answers
A) 18 %
B) 13 %
C) 12 %
D) 32 %
E) 19 % | <gadget id="calculator">100 - 30</gadget>
<output>70</output>
<gadget id="calculator">100 + 70</gadget>
<output>170</output>
<gadget id="calculator">70 * 170</gadget>
<output>11_900</output>
<gadget id="calculator">11_900 / 100</gadget>
<output>119</output>
<gadget id="calculator">119 / 100</gadget>
<output>119/100... | E | 19 | A trader bought a car at 30% discount on its original price. He sold it at a 70% increase on the price he bought it. What percent of profit did he make on the original price? | {
"A": "18 %",
"B": "13 %",
"C": "12 %",
"D": "32 %",
"E": "19 %"
} | multiply(subtract(divide(divide(multiply(subtract(const_100, 30), add(const_100, 70)), const_100), const_100), const_1), const_100) | add(n1,const_100)|subtract(const_100,n0)|multiply(#0,#1)|divide(#2,const_100)|divide(#3,const_100)|subtract(#4,const_1)|multiply(#5,const_100)| | "original price = 100 cp = 70 s = 70 * ( 170 / 100 ) = 119 100 - 119 = 19 % answer : e" | gain |
math_qa__BklgPC7w3lc24AAC | In an electric circuit, two resistors with resistances x and y are connected in parallel. If R is the combined resistance of these two resistors, then the reciprocal of R is equal to the sum of the reciprocals of x and y. What is R if x is 4 Ohms and y is 5 Ohms? Select the correct option:
A) 7 / 9 B) 20 / 9 C) 7 / 20 ... | <gadget id="calculator">5 * 4</gadget>
<output>20</output>
<gadget id="calculator">4 + 5</gadget>
<output>9</output>
<gadget id="calculator">20 / 9</gadget>
<output>20/9 = around 2.222222</output>
<result>B</result> | B | 2.222222 | In an electric circuit, two resistors with resistances x and y are connected in parallel. If R is the combined resistance of these two resistors, then the reciprocal of R is equal to the sum of the reciprocals of x and y. What is R if x is 4 Ohms and y is 5 Ohms? | {
"A": "7 / 9",
"B": "20 / 9",
"C": "7 / 20",
"D": "9 / 20",
"E": "11 / 20"
} | divide(multiply(5, 4), add(4, 5)) | add(n0,n1)|multiply(n0,n1)|divide(#1,#0)| | "1 / r = 1 / x + 1 / y 1 / r = 1 / 4 + 1 / 5 = 9 / 20 r = 20 / 9 the answer is b ." | general |
math_qa__dJHW8rMVSF01c4Wk | The parameter of a square is equal to the perimeter of a rectangle of length 14 cm and breadth 10 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)? Choose the correct option.
A) 23.56 B) 23.59 C) 23.55 D) 18.86 E) 23.57 | <gadget id="calculator">2 * (14 + 10)</gadget>
<output>48</output>
<gadget id="calculator">48 / 4</gadget>
<output>12</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">2 * pi * 6</gadget>
<output>12*pi = around 37.699112</output>
<gadget id="calculator">(12*pi) / 2</gadget>... | D | 18.86 | The parameter of a square is equal to the perimeter of a rectangle of length 14 cm and breadth 10 cm. Find the circumference of a semicircle whose diameter is equal to the side of the square. (Round off your answer to two decimal places)? | {
"A": "23.56",
"B": "23.59",
"C": "23.55",
"D": "18.86",
"E": "23.57"
} | divide(circumface(divide(square_edge_by_perimeter(rectangle_perimeter(14, 10)), const_2)), const_2) | rectangle_perimeter(n0,n1)|square_edge_by_perimeter(#0)|divide(#1,const_2)|circumface(#2)|divide(#3,const_2)| | "let the side of the square be a cm . parameter of the rectangle = 2 ( 14 + 10 ) = 48 cm parameter of the square = 48 cm i . e . 4 a = 48 a = 12 diameter of the semicircle = 12 cm circimference of the semicircle = 1 / 2 ( â ˆ ) ( 12 ) = 1 / 2 ( 22 / 7 ) ( 12 ) = 264 / 14 = 18.86 cm to two decimal places answer : d" | geometry |
math_qa__GW7KAJJWC8PJF03F | A man invested Rs. 14,400 in Rs. 100 shares of a company at 20% premium.If the company declares 6% dividend at the end of the year,then how much does he get ? Choose the correct choice from the following options.
A) rs . 500 B) rs . 600 C) rs . 650 D) rs . 720 E) none | <gadget id="calculator">10 * 1_000</gadget>
<output>10_000</output>
<gadget id="calculator">4 * 1_000</gadget>
<output>4_000</output>
<gadget id="calculator">10_000 + 4_000</gadget>
<output>14_000</output>
<gadget id="calculator">4 * 100</gadget>
<output>400</output>
<gadget id="calculator">14_000 + 400</gadget>
<o... | D | 720 | A man invested Rs. 14,400 in Rs. 100 shares of a company at 20% premium.If the company declares 6% dividend at the end of the year,then how much does he get ? | {
"A": "rs . 500",
"B": "rs . 600",
"C": "rs . 650",
"D": "rs . 720",
"E": "none"
} | multiply(multiply(100, divide(add(add(multiply(const_10, const_1000), multiply(const_4, const_1000)), multiply(const_4, 100)), add(100, multiply(100, divide(20, 100))))), divide(6, 100)) | divide(n3,n1)|divide(n2,n1)|multiply(const_10,const_1000)|multiply(const_1000,const_4)|multiply(n1,const_4)|add(#2,#3)|multiply(n1,#1)|add(#5,#4)|add(n1,#6)|divide(#7,#8)|multiply(n1,#9)|multiply(#0,#10)| | "solution number of shares = ( 14400 / 120 ) = 120 . face value = rs . ( 100 x 120 ) = rs . 12000 . annual income = rs . ( 6 / 100 x 12000 ) = rs . 720 . answer d" | gain |
math_qa__5PTxDyl97sbBLR2J | Two friends plan to walk along a 43-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 15% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other? Choose one:
A) 21 B) 21.5 C) 22 D) 22.5 E) 23 | <gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">(3/20) + 1</gadget>
<output>23/20 = around 1.15</output>
<gadget id="calculator">(23/20) + 1</gadget>
<output>43/20 = around 2.15</output>
<gadget id="calculator">43 / (43/20)</gadget>
<output>20</output>
<gadget i... | E | 23 | Two friends plan to walk along a 43-km trail, starting at opposite ends of the trail at the same time. If Friend P's rate is 15% faster than Friend Q's, how many kilometers will Friend P have walked when they pass each other? | {
"A": "21",
"B": "21.5",
"C": "22",
"D": "22.5",
"E": "23"
} | multiply(divide(43, add(add(divide(15, const_100), const_1), const_1)), add(divide(15, const_100), const_1)) | divide(n1,const_100)|add(#0,const_1)|add(#1,const_1)|divide(n0,#2)|multiply(#1,#3)| | "if q complete x kilometers , then p completes 1.15 x kilometers . x + 1.15 x = 43 2.15 x = 43 x = 43 / 2.15 = 20 then p will have have walked 1.15 * 20 = 23 km . the answer is e ." | gain |
math_qa__0EksR9uNX64xGLv0 | The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 588, Krishan has ? Select the correct option: A) s . 2890 B) s . 2330 C) s . 1190 D) s . 3468 E) s . 2680 | <gadget id="calculator">588 / 7</gadget>
<output>84</output>
<gadget id="calculator">84 * 17</gadget>
<output>1_428</output>
<gadget id="calculator">1_428 / 7</gadget>
<output>204</output>
<gadget id="calculator">204 * 17</gadget>
<output>3_468</output>
<result>D</result> | D | 3,468 | The ratio of money with Ram and Gopal is 7 : 17 and that with Gopal and Krishan is 7: 17. If Ram has Rs. 588, Krishan has ? | {
"A": "s . 2890",
"B": "s . 2330",
"C": "s . 1190",
"D": "s . 3468",
"E": "s . 2680"
} | multiply(divide(multiply(divide(588, 7), 17), 7), 17) | divide(n4,n0)|multiply(n1,#0)|divide(#1,n0)|multiply(n1,#2)| | "ram : gopal = 7 : 17 = 49 : 119 gopal : krishan = 7 : 17 = 119 : 289 ram : gopal : krishan = 49 : 119 : 289 ram : krishan = 49 : 289 thus , 49 : 289 = 588 : n & there n = 289 x 588 / 49 = rs . 3468 answer : d" | other |
math_qa__OBHjhJ5eARvKlFIO | A person travels equal distances with speeds of 4km/hr, 8km/hr, 12km/hr. and takes a total time of 11 minutes. Find the total distance ?
Choose the correct choice from the following answers.
A) 1 km
B) 500 mts
C) 600 mts
D) 2 km
E) 1200 mts | <gadget id="calculator">11 / 60</gadget>
<output>11/60 = around 0.183333</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 / 8</gadget>
<output>1/8 = around 0.125</output>
<gadget id="calculator">(1/4) + (1/8)</gadget>
<output>3/8 = around 0.375</output>
<g... | E | 1,200 | A person travels equal distances with speeds of 4km/hr, 8km/hr, 12km/hr. and takes a total time of 11 minutes. Find the total distance ? | {
"A": "1 km",
"B": "500 mts",
"C": "600 mts",
"D": "2 km",
"E": "1200 mts"
} | multiply(multiply(divide(divide(11, const_60), add(add(divide(const_1, 4), divide(const_1, 8)), divide(const_1, 12))), const_3), const_1000) | divide(n3,const_60)|divide(const_1,n0)|divide(const_1,n1)|divide(const_1,n2)|add(#1,#2)|add(#4,#3)|divide(#0,#5)|multiply(#6,const_3)|multiply(#7,const_1000) | let the each distance be x km total distance = 3 x then total time , ( x / 4 ) + ( x / 8 ) + ( x / 12 ) = 11 / 60 x = 0.4 total distance = 3 * 0.4 = 1.2 km = 1200 meters correct option is e | physics |
math_qa__pSMauC2LHDWwiNEu | A man drives at a speed of 40 miles/hr. His wife left 30 mins. late with 50 miles/hr speed. when will they meet ?
Choose the correct choice.
A) 1 hours B) 2 hours C) 3 hours D) 4 hours E) 5 hours | <gadget id="calculator">30 / 60</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">40 * (1/2)</gadget>
<output>20</output>
<gadget id="calculator">50 - 40</gadget>
<output>10</output>
<gadget id="calculator">20 / 10</gadget>
<output>2</output>
<result>B</result> | B | 2 | A man drives at a speed of 40 miles/hr. His wife left 30 mins. late with 50 miles/hr speed. when will they meet ? | {
"A": "1 hours",
"B": "2 hours",
"C": "3 hours",
"D": "4 hours",
"E": "5 hours"
} | divide(multiply(40, divide(30, const_60)), subtract(50, 40)) | divide(n1,const_60)|subtract(n2,n0)|multiply(n0,#0)|divide(#2,#1) | in 30 minutes the man would have droven 20 miles , when his wife starts . now both are driving in the same direction . so speed of wife related to man is 10 ( 50 - 40 ) miles / hr . so wife will cover 20 miles in 2 hours to meet the man . answer : b | physics |
math_qa__BbspT35RyMzF5a86 | In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 63 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp? Answers: A) 70 B) 450 C) 150 D) 35 E) 350 | <gadget id="calculator">100 - 30</gadget>
<output>70</output>
<gadget id="calculator">70 / 100</gadget>
<output>7/10 = around 0.7</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(7/10) * (1/5)</gadget>
<output>7/50 = around 0.14</output>
<gadget id="calcu... | B | 450 | In a certain boys camp, 20% of the total boys are from school A and 30% of those study science. If there are 63 boys in the camp that are from school A but do not study science then what is the total number of boys in the camp? | {
"A": "70",
"B": "450",
"C": "150",
"D": "35",
"E": "350"
} | divide(63, multiply(divide(subtract(const_100, 30), const_100), divide(20, const_100))) | divide(n0,const_100)|subtract(const_100,n1)|divide(#1,const_100)|multiply(#2,#0)|divide(n2,#3) | since 30 % of the boys from school a study science , then 70 % of the boys from school a do not study science and since 20 % of the total number of boys are from school a , then 0.2 * 0.7 = 0.14 , or 14 % of the boys in the camp are from school a and do not study science . we are told that this number equals to 63 , so... | gain |
math_qa__862NTr6l5F8g1sv8 | The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 78 kmph, find the speed of the stream? Choose the correct choice from the following choices.
A) 15 B) 19 C) 14 D) 18 E) 26 | <gadget id="calculator">78 * 2</gadget>
<output>156</output>
<gadget id="calculator">156 / 3</gadget>
<output>52</output>
<gadget id="calculator">78 - 52</gadget>
<output>26</output>
<result>E</result> | E | 26 | The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 78 kmph, find the speed of the stream? | {
"A": "15",
"B": "19",
"C": "14",
"D": "18",
"E": "26"
} | subtract(78, divide(multiply(78, const_2), const_3)) | multiply(n0,const_2)|divide(#0,const_3)|subtract(n0,#1) | the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 78 / 3 = 26 kmph . answer : e | physics |
math_qa__RM1S7EZKw9v8prZ9 | Angelina walked 960 meters from her home to the grocery at a constant speed. She then walked 480 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym?... | <gadget id="calculator">480 / 2</gadget>
<output>240</output>
<gadget id="calculator">960 - 240</gadget>
<output>720</output>
<gadget id="calculator">720 / 40</gadget>
<output>18</output>
<gadget id="calculator">18 * 2</gadget>
<output>36</output>
<result>D</result> | D | 36 | Angelina walked 960 meters from her home to the grocery at a constant speed. She then walked 480 meters to the gym at double the speed. She spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery. What was Angelina's speed, in meters per second, from the grocery to the gym? | {
"A": "2",
"B": "13",
"C": "24",
"D": "36",
"E": "42"
} | multiply(divide(subtract(960, divide(480, const_2)), 40), const_2) | divide(n1,const_2)|subtract(n0,#0)|divide(#1,n2)|multiply(#2,const_2)| | "let the speed be x . . . so time taken from home to grocery = 960 / x . . the speed to gym = 2 x . . so time taken = 480 / 2 x = 240 / x . . its given 960 / x - 240 / x = 40 . . 720 / x = 40 . . x = 18 m / secs . . so grocery to gym = 2 * 18 = 36 m / s . . . d" | physics |
math_qa__gA2hEYJIAjkgcP3b | Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $3500 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years? Choose the correct choice
A) $ 3,750 B) $ 5,600 C) $ 8,100 D) $ 15,000 E) $ 31,500 | <gadget id="calculator">112 / 8</gadget>
<output>14</output>
<gadget id="calculator">28 / 14</gadget>
<output>2</output>
<gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">3_500 * 9</gadget>
<output>31_500</output>
<result>E</result> | E | 31,500 | Money invested at x%, compounded annually, triples in value in approximately every 112/x years. If $3500 is invested at a rate of 8%, compounded annually, what will be its approximate worth in 28 years? | {
"A": "$ 3,750",
"B": "$ 5,600",
"C": "$ 8,100",
"D": "$ 15,000",
"E": "$ 31,500"
} | multiply(3500, power(const_3, divide(28, divide(112, 8)))) | divide(n0,n2)|divide(n3,#0)|power(const_3,#1)|multiply(n1,#2)| | "x = 8 % 112 / x years = 112 / 8 = 14 years now , money triples every 14 years therefore , in 14 yrs , if $ 3500 triples to $ 10500 , in 28 years , it will again triple to $ 10500 * 3 = $ 31,500 answer e" | gain |
math_qa__PBpa0APH15nba1UC | How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 72 kmph? Choose the correct option:
A) 22 sec
B) 77 sec
C) 25 sec
D) 18 sec
E) 12.5 sec | <gadget id="calculator">150 + 100</gadget>
<output>250</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">72 * (5/18)</gadget>
<output>20</output>
<gadget id="calculator">250 / 20</gadget>
<output>25/2 = around 12.5</output>
<result>E</result> | E | 12.5 | How many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 72 kmph? | {
"A": "22 sec",
"B": "77 sec",
"C": "25 sec",
"D": "18 sec",
"E": "12.5 sec"
} | divide(add(150, 100), multiply(72, const_0_2778)) | add(n0,n1)|multiply(n2,const_0_2778)|divide(#0,#1)| | "d = 100 + 150 = 250 s = 72 * 5 / 18 = 20 mps t = 250 / 20 = 12.5 sec answer : e" | physics |
math_qa__BKvZTPge4Jgivkr2 | A meal cost $ 35.50 and there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be:
Choose the correct option
A) 40 - 42 B) 39 - 41 C) 38 - 40 D) 37 - 39 E) 36 - 37 | <gadget id="calculator">15 / 100</gadget>
<output>3/20 = around 0.15</output>
<gadget id="calculator">35.5 * (3/20)</gadget>
<output>5.325</output>
<gadget id="calculator">5.325 + 35.5</gadget>
<output>40.825</output>
<result>B</result> | B | 39 | A meal cost $ 35.50 and there was no tax. If the tip was more than 10 pc but less than 15pc of the price, then the total amount paid should be: | {
"A": "40 - 42",
"B": "39 - 41",
"C": "38 - 40",
"D": "37 - 39",
"E": "36 - 37"
} | add(multiply(35.50, divide(15, const_100)), 35.50) | divide(n2,const_100)|multiply(n0,#0)|add(n0,#1)| | "10 % ( 35.5 ) = 3.55 15 % ( 35.5 ) = 5.325 total amount could have been 35.5 + 3.55 and 35.5 + 5.325 = > could have been between 39.05 and 40.625 = > approximately between 39 and 41 answer is b ." | general |
math_qa__80PVaUslECVBx0nY | A rectangular lawn of dimensions 90 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m? Choose the correct option:
A) s . 3988 B) s . 3900 C) s . 3228 D) s . 4200 E) s . 3... | <gadget id="calculator">90 + 60</gadget>
<output>150</output>
<gadget id="calculator">150 - 10</gadget>
<output>140</output>
<gadget id="calculator">140 * 10</gadget>
<output>1_400</output>
<gadget id="calculator">1_400 * 3</gadget>
<output>4_200</output>
<result>D</result> | D | 4,200 | A rectangular lawn of dimensions 90 m * 60 m has two roads each 10 m wide running in the middle of the lawn, one parallel to the length and the other parallel to the breadth. What is the cost of traveling the two roads at Rs.3 per sq m? | {
"A": "s . 3988",
"B": "s . 3900",
"C": "s . 3228",
"D": "s . 4200",
"E": "s . 3928"
} | multiply(multiply(subtract(add(90, 60), 10), 10), 3) | add(n0,n1)|subtract(#0,n2)|multiply(n2,#1)|multiply(n3,#2)| | "area = ( l + b – d ) d ( 90 + 60 – 10 ) 10 = > 1400 m 2 1400 * 3 = rs . 4200 answer : d" | geometry |
math_qa__9Cv2y84S1Jgbzs03 | A soccer team played 158 games and won 40 percent of them. How many games did it win? Choose the most appropriate option:
A) 84 B) 63.2 C) 104 D) 50.8 E) 15.8 | <gadget id="calculator">40 * 158</gadget>
<output>6_320</output>
<gadget id="calculator">6_320 / 100</gadget>
<output>316/5 = around 63.2</output>
<result>B</result> | B | 63.2 | A soccer team played 158 games and won 40 percent of them. How many games did it win? | {
"A": "84",
"B": "63.2",
"C": "104",
"D": "50.8",
"E": "15.8"
} | divide(multiply(40, 158), const_100) | multiply(n0,n1)|divide(#0,const_100) | 40 % of 158 = x 0.40 * 158 = x 63.2 = x answer : b | gain |
math_qa__D5dHsCdUt69mNGD1 | The consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 70 kmph its consumption is 1 litre per hour. if each litre costs $70 and other expenses per hous is $ 70, then what would be the minimum expenditure required to cover a distance of 700 Km? Answers.
A) 1000 ... | <gadget id="calculator">700 / 70</gadget>
<output>10</output>
<gadget id="calculator">10 * 70</gadget>
<output>700</output>
<gadget id="calculator">700 + 700</gadget>
<output>1_400</output>
<result>E</result> | E | 1,400 | The consumption of diesel per hour of a bus varies directly as square of its speed. When the bus is travelling at 70 kmph its consumption is 1 litre per hour. if each litre costs $70 and other expenses per hous is $ 70, then what would be the minimum expenditure required to cover a distance of 700 Km? | {
"A": "1000",
"B": "1500",
"C": "1240",
"D": "1630",
"E": "1400"
} | add(multiply(divide(700, 70), 70), multiply(divide(700, 70), 70)) | divide(n4,n0)|multiply(n2,#0)|multiply(n3,#0)|add(#1,#2)| | "70 kmph consumption is 1 lt / hr so 700 km will take 10 hrs and the consumption is 10 lt for entire distance . 1 lt costs $ 70 so 10 lt costs $ 700 extra expenses for 1 hr - $ 70 10 hrs - $ 700 total expense - $ 700 + $ 700 = $ 1400 answer : e" | physics |
math_qa__lGZN7QPNGq20Ok1v | A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 80 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?
Choose one: A) 71.5 B) 72 C) 72.5 D) 73 E) 76.6 | <gadget id="calculator">1 / 80</gadget>
<output>1/80 = around 0.0125</output>
<gadget id="calculator">3_600 * (1/80)</gadget>
<output>45</output>
<gadget id="calculator">45 + 2</gadget>
<output>47</output>
<gadget id="calculator">47 / 3_600</gadget>
<output>47/3_600 = around 0.013056</output>
<gadget id="calculator... | E | 76.6 | A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 80 kilometers per hour. At what speed, in kilometers per hour, is the car traveling? | {
"A": "71.5",
"B": "72",
"C": "72.5",
"D": "73",
"E": "76.6"
} | divide(1, divide(add(multiply(const_3600, divide(1, 80)), 2), const_3600)) | divide(n1,n3)|multiply(#0,const_3600)|add(n0,#1)|divide(#2,const_3600)|divide(n1,#3)| | "many approaches are possible , one of them : let the distance be 1 kilometer . time to cover this distance at 80 kilometers per hour is 1 / 80 hours = 3,600 / 80 seconds = 45 seconds ; time to cover this distance at regular speed is 45 + 2 = 47 seconds = 47 / 3,600 hours = 5 / 383 hours ; so , we get that to cover 1 k... | physics |
math_qa__q5ZmMBShQwCGMqEz | 15 litres of mixture contains 20% alcohol and the rest water. If 3litres of water be mixed with it, the percentage of alcohol in the new mixture would be? Choose one:
A) 16.67 %
B) 23 %
C) 18.3 %
D) 19.75 %
E) 21.23 % | <gadget id="calculator">15 + 3</gadget>
<output>18</output>
<gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(4/5) * 15</gadget>
<output>12</output>
<gadget id="calculator">12 + 3</gadget>
<output>15</ou... | A | 16.67 | 15 litres of mixture contains 20% alcohol and the rest water. If 3litres of water be mixed with it, the percentage of alcohol in the new mixture would be? | {
"A": "16.67 %",
"B": "23 %",
"C": "18.3 %",
"D": "19.75 %",
"E": "21.23 %"
} | multiply(divide(subtract(add(15, 3), add(multiply(divide(subtract(const_100, 20), const_100), 15), 3)), add(15, 3)), const_100) | add(n0,n2)|subtract(const_100,n1)|divide(#1,const_100)|multiply(n0,#2)|add(n2,#3)|subtract(#0,#4)|divide(#5,#0)|multiply(#6,const_100)| | "alcohol in the 15 litres of mix . = 20 % of 15 litres = ( 20 * 15 / 100 ) = 3 litres water in it = 15 - 3 = 12 litres new quantity of mix . = 15 + 3 = 18 litres quantity of alcohol in it = 3 litres percentage of alcohol in new mix . = 3 * 100 / 18 = 50 / 3 = 16.67 % answer is a" | gain |
math_qa__PbRnskVECgOlF1GM | Total number of people attending a party is 600. 70% of the men are wearing black shirt and rest are wearing red. If 60% of the total people are women then how many men are wearing red shirts? Choose one: A) 168 B) 72 C) 56 D) 170 E) 60 | <gadget id="calculator">100 - 70</gadget>
<output>30</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">100 - 60</gadget>
<output>40</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 600</ga... | B | 72 | Total number of people attending a party is 600. 70% of the men are wearing black shirt and rest are wearing red. If 60% of the total people are women then how many men are wearing red shirts? | {
"A": "168",
"B": "72",
"C": "56",
"D": "170",
"E": "60"
} | multiply(divide(subtract(const_100, 70), const_100), multiply(divide(subtract(const_100, 60), const_100), 600)) | subtract(const_100,n1)|subtract(const_100,n2)|divide(#0,const_100)|divide(#1,const_100)|multiply(n0,#3)|multiply(#2,#4) | number of woman in the party = 0.60 * 600 = 360 number of men in the party = 600 - 360 = 240 % of men wearing red shirts = 100 - 70 = 30 % number of men wearing red shirt = 0.30 * 240 = 72 . b is the correct answer | gain |
math_qa__yhUUwrQVN4SGKm9C | In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case. Choose ... | <gadget id="calculator">1_200 * 3</gadget>
<output>3_600</output>
<gadget id="calculator">3_600 * 30</gadget>
<output>108_000</output>
<gadget id="calculator">108_000 / 25</gadget>
<output>4_320</output>
<gadget id="calculator">4_320 / 2.5</gadget>
<output>1_728</output>
<gadget id="calculator">1_728 - 1_200</gadge... | B | 528 | In a fort, there are 1200 soldiers. If each soldier consumes 3 kg per day, the provisions available in the fort will last for 30 days. If some more soldiers join, the provisions available will last for 25 days given each soldier consumes 2.5 kg per day. Find the number of soldiers joining the fort in that case. | {
"A": "627",
"B": "528 soldiers",
"C": "626",
"D": "657",
"E": "673"
} | subtract(divide(divide(multiply(multiply(1200, 3), 30), 25), 2.5), 1200) | multiply(n0,n1)|multiply(n2,#0)|divide(#1,n3)|divide(#2,n4)|subtract(#3,n0) | assume x soldiers join the fort . 1200 soldiers have provision for 1200 ( days for which provisions last them ) ( rate of consumption of each soldier ) = ( 1200 ) ( 30 ) ( 3 ) kg . also provisions available for ( 1200 + x ) soldiers is ( 1200 + x ) ( 25 ) ( 2.5 ) k as the same provisions are available = > ( 1200 ) ( 30... | general |
math_qa__DLPJVZjZfVax0XXQ | calculate the standard deviation of each data set { 10 , 1010 , 1010 } Choose the correct choice from the following choices: A) 8.05 B) 9 C) 10 D) 15 E) 15.5 | <gadget id="calculator">10 + 1_010</gadget>
<output>1_020</output>
<gadget id="calculator">1_020 + 1_010</gadget>
<output>2_030</output>
<gadget id="calculator">2_030 / 3</gadget>
<output>2_030/3 = around 676.666667</output>
<gadget id="calculator">(2_030/3) - 1_010</gadget>
<output>-1_000/3 = around -333.333333</ou... | A | 8.05 | calculate the standard deviation of each data set { 10 , 1010 , 1010 } | {
"A": "8.05",
"B": "9",
"C": "10",
"D": "15",
"E": "15.5"
} | divide(sqrt(divide(add(add(power(subtract(divide(add(add(10, 1010), 1010), const_3), 1010), const_2), power(subtract(divide(add(add(10, 1010), 1010), const_3), 1010), const_2)), power(subtract(divide(add(add(10, 1010), 1010), const_3), 10), const_2)), subtract(const_3, const_1))), multiply(add(const_4, const_3), 10)) | add(n0,n1)|add(const_3,const_4)|subtract(const_3,const_1)|add(n1,#0)|multiply(n0,#1)|divide(#3,const_3)|subtract(#5,n1)|subtract(#5,n0)|power(#6,const_2)|power(#7,const_2)|add(#8,#8)|add(#10,#9)|divide(#11,#2)|sqrt(#12)|divide(#13,#4) | standard deviation data set a = √ [ ( ( 9 - 10 ) 2 + ( 10 - 10 ) 2 + ( 11 - 10 ) 2 + ( 7 - 10 ) 2 + ( 13 - 10 ) 2 ) / 5 ] = 2 standard deviation data set b = √ [ ( ( 10 - 10 ) 2 + ( 10 - 10 ) 2 + ( 10 - 10 ) 2 + ( 10 - 10 ) 2 + ( 10 - 10 ) 2 ) / 5 ] = 0 standard deviation data set c = √ [ ( ( 1 - 10 ) 2 + ( 1 - 10 ) 2 ... | general |
math_qa__qxqMB65myOuQCndu | The length of the longest tape in cm which can be used to measure exactly, the length 6m; 5m ; and 12m is:
Answers.
A) 200 B) 100 C) 50 D) 1200 E) 500 | <gadget id="calculator">2 * 2</gadget>
<output>4</output>
<gadget id="calculator">4 * 5</gadget>
<output>20</output>
<gadget id="calculator">20 * 5</gadget>
<output>100</output>
<result>B</result> | B | 100 | The length of the longest tape in cm which can be used to measure exactly, the length 6m; 5m ; and 12m is: | {
"A": "200",
"B": "100",
"C": "50",
"D": "1200",
"E": "500"
} | multiply(multiply(multiply(const_2, const_2), 5), 5) | multiply(const_2,const_2)|multiply(n1,#0)|multiply(n1,#1) | the three lengths in cm are 600,500 & 1200 . hcf of 600 , 500 & 1200 is 100 hence , the answer is 100 cm . answer : b | physics |
math_qa__DUZ6tIa4eVRdCYyJ | A boat can travel with a speed of 16 km/hr in still water. If the rate of stream is 5 km/hr, then find the time taken by the boat to cover distance of 84 km downstream.
Answers: A) 4 hours B) 5 hours C) 6 hours D) 7 hours E) 8 hours | <gadget id="calculator">16 + 5</gadget>
<output>21</output>
<gadget id="calculator">84 / 21</gadget>
<output>4</output>
<result>A</result> | A | 4 | A boat can travel with a speed of 16 km/hr in still water. If the rate of stream is 5 km/hr, then find the time taken by the boat to cover distance of 84 km downstream. | {
"A": "4 hours",
"B": "5 hours",
"C": "6 hours",
"D": "7 hours",
"E": "8 hours"
} | divide(84, add(16, 5)) | add(n0,n1)|divide(n2,#0)| | "explanation : it is very important to check , if the boat speed given is in still water or with water or against water . because if we neglect it we will not reach on right answer . i just mentioned here because mostly mistakes in this chapter are of this kind only . lets see the question now . speed downstream = ( 16... | physics |
math_qa__PFsdGhXjSbGDP4XD | find the number, difference between number and its 3/5 is 56.
Choose the correct answer:
A) 140
B) 143
C) 144
D) 145
E) 150 | <gadget id="calculator">56 / 2</gadget>
<output>28</output>
<gadget id="calculator">28 * 5</gadget>
<output>140</output>
<result>A</result> | A | 140 | find the number, difference between number and its 3/5 is 56. | {
"A": "140",
"B": "143",
"C": "144",
"D": "145",
"E": "150"
} | multiply(divide(56, const_2), 5) | divide(n2,const_2)|multiply(n1,#0)| | "explanation : let the number = x , then , x - ( 3 / 5 ) x = 56 , = > ( 2 / 5 ) x = 56 = > 2 x = 56 * 5 , = > x = 140 answer : option a" | general |
math_qa__cylX7zPx51E7uZsB | How many seconds will a 600 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? Choose the correct choice from the following answers: A) 22 B) 36 C) 99 D) 77 E) 12 | <gadget id="calculator">63 - 3</gadget>
<output>60</output>
<gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">60 * (5/18)</gadget>
<output>50/3 = around 16.666667</output>
<gadget id="calculator">600 / (50/3)</gadget>
<output>36</output>
<result>B</result> | B | 36 | How many seconds will a 600 m long train take to cross a man walking with a speed of 3 km/hr in the direction of the moving train if the speed of the train is 63 km/hr? | {
"A": "22",
"B": "36",
"C": "99",
"D": "77",
"E": "12"
} | divide(600, multiply(subtract(63, 3), const_0_2778)) | subtract(n2,n1)|multiply(#0,const_0_2778)|divide(n0,#1)| | "speed of train relative to man = 63 - 3 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 600 * 3 / 50 = 36 sec . answer : b" | physics |
math_qa__VXqEhExcD81HgL7D | Nicky and Cristina are running a 200 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him? Choose the correct c... | <gadget id="calculator">3 * 12</gadget>
<output>36</output>
<gadget id="calculator">36 / 3</gadget>
<output>12</output>
<gadget id="calculator">5 - 3</gadget>
<output>2</output>
<gadget id="calculator">36 / 2</gadget>
<output>18</output>
<gadget id="calculator">12 + 18</gadget>
<output>30</output>
<result>B</resul... | B | 30 | Nicky and Cristina are running a 200 meter race. Since Cristina is faster than Nicky, she gives him a 12 second head start. If Cristina runs at a pace of 5 meters per second and Nicky runs at a pace of only 3 meters per second, how many seconds will Nicky have run before Cristina catches up to him? | {
"A": "35",
"B": "30",
"C": "45",
"D": "40",
"E": "50"
} | add(divide(multiply(3, 12), 3), divide(multiply(3, 12), subtract(5, 3))) | multiply(n1,n3)|subtract(n2,n3)|divide(#0,n3)|divide(#0,#1)|add(#2,#3) | the distance traveled by both of them is the same at the time of overtaking . 3 ( t + 12 ) = 5 t t = 18 . cristina will catch up nicky in 18 seconds . so in 18 seconds cristina would cover = 18 * 5 = 90 meter . now time taken my nicky to cover 90 meter = 90 / 3 = 30 seconds . b | physics |
math_qa__8kybJzkLDsEgvjEv | A sum of 12,500 amounts to 15,500 in 4 years at the rate of simple interest. What is the rate of interest? Choose one:
A) 2 %
B) 1 %
C) 6 %
D) 5 %
E) 8 % | <gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) + (1/4)</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">12 +... | C | 6 | A sum of 12,500 amounts to 15,500 in 4 years at the rate of simple interest. What is the rate of interest? | {
"A": "2 %",
"B": "1 %",
"C": "6 %",
"D": "5 %",
"E": "8 %"
} | multiply(divide(divide(const_3, 4), add(multiply(const_3, const_4), add(const_0_25, const_0_25))), const_100) | add(const_0_25,const_0_25)|divide(const_3,n2)|multiply(const_3,const_4)|add(#0,#2)|divide(#1,#3)|multiply(#4,const_100) | c 6 % s . i . = ( 15500 - 12500 ) = 3000 . rate = ( 100 x 3000 ) / ( 12500 x 4 ) % = 6 % | gain |
math_qa__vDNL0QohcTs9HdDS | Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 72 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B? Choose the correct choice from the following answers
A) 11 : 6 B) 12 : 7 C) 13 : 7 D) 65 : 36 E) 13 : 6 | <gadget id="calculator">65 * 8</gadget>
<output>520</output>
<gadget id="calculator">72 * 4</gadget>
<output>288</output>
<gadget id="calculator">520 / 288</gadget>
<output>65/36 = around 1.805556</output>
<result>D</result> | D | 1.805556 | Car A runs at the speed of 65km/hr & reaches its destination in 8hr. Car B runs at the speed of 72 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B? | {
"A": "11 : 6",
"B": "12 : 7",
"C": "13 : 7",
"D": "65 : 36",
"E": "13 : 6"
} | divide(multiply(65, 8), multiply(72, 4)) | multiply(n0,n1)|multiply(n2,n3)|divide(#0,#1)| | "sol . distance travelled by car a = 65 ã — 8 = 520 km distance travelled by car b = 72 ã — 4 = 288 km ratio = 520 / 288 = 65 : 36 d" | physics |
math_qa__bzL3Fq1nZdVhrpi4 | Jerry’s average (arithmetic mean) score on the first 3 of 4 tests is 85. If Jerry wants to raise his average by 2 points, what score must he earn on the fourth test? Choices:
A) 87 B) 89 C) 90 D) 93 E) 95 | <gadget id="calculator">85 + 2</gadget>
<output>87</output>
<gadget id="calculator">4 * 87</gadget>
<output>348</output>
<gadget id="calculator">85 * 3</gadget>
<output>255</output>
<gadget id="calculator">348 - 255</gadget>
<output>93</output>
<result>D</result> | D | 93 | Jerry’s average (arithmetic mean) score on the first 3 of 4 tests is 85. If Jerry wants to raise his average by 2 points, what score must he earn on the fourth test? | {
"A": "87",
"B": "89",
"C": "90",
"D": "93",
"E": "95"
} | subtract(multiply(4, add(85, 2)), multiply(85, 3)) | add(n2,n3)|multiply(n0,n2)|multiply(n1,#0)|subtract(#2,#1)| | "total score on 3 tests = 85 * 3 = 255 jerry wants the average to be = 87 hence total score on 4 tests should be = 87 * 4 = 348 score required on the fourth test = 348 - 255 = 93 option d" | general |
math_qa__CWTrAst4vvcL2cjU | A number exceeds by 20 from its 3/8 part. Then the number is? Choose the most appropriate option: A) 32 B) 35 C) 39 D) 40 E) 45 | <gadget id="calculator">20 * 8</gadget>
<output>160</output>
<gadget id="calculator">8 - 3</gadget>
<output>5</output>
<gadget id="calculator">160 / 5</gadget>
<output>32</output>
<result>A</result> | A | 32 | A number exceeds by 20 from its 3/8 part. Then the number is? | {
"A": "32",
"B": "35",
"C": "39",
"D": "40",
"E": "45"
} | divide(multiply(20, 8), subtract(8, 3)) | multiply(n0,n2)|subtract(n2,n1)|divide(#0,#1)| | "x – 3 / 8 x = 20 x = 32 answer : a" | general |
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