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math_qa__rsrEfUR3P5Ub4T9S | A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 17 seconds. What is the length of the platform in meters?
Choose the most appropriate option: A) 240 meters B) 260 meters C) 420 meters D) 600 meters E) can not be determined | <gadget id="calculator">72 * 1_000</gadget>
<output>72_000</output>
<gadget id="calculator">72_000 / 3_600</gadget>
<output>20</output>
<gadget id="calculator">20 * 30</gadget>
<output>600</output>
<gadget id="calculator">20 * 17</gadget>
<output>340</output>
<gadget id="calculator">600 - 340</gadget>
<output>260</output>
<result>B</result> | B | 260 | A train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 17 seconds. What is the length of the platform in meters? | {
"A": "240 meters",
"B": "260 meters",
"C": "420 meters",
"D": "600 meters",
"E": "can not be determined"
} | subtract(multiply(divide(multiply(72, const_1000), const_3600), 30), multiply(divide(multiply(72, const_1000), const_3600), 17)) | multiply(n0,const_1000)|divide(#0,const_3600)|multiply(n1,#1)|multiply(n2,#1)|subtract(#2,#3)| | "speed of the train in metres / sec = 72000 / 3600 = 20 distance travelled by train to cross the platform = 30 * 20 = 600 = length of train + length of platform distance travelled by train to cross the man = 17 * 20 = 340 = length of train length of platform = 600 - 340 = 260 answer : b" | physics |
math_qa__uQnISwAfqxbdyu5Q | Two numbers have a H.C.F of 14 and a product of two numbers is 2562. Find the L.C.M of the two numbers? Choose the correct choice from the following answers: A) 140 B) 150 C) 160 D) 170 E) 183 | <gadget id="calculator">2_562 / 14</gadget>
<output>183</output>
<result>E</result> | E | 183 | Two numbers have a H.C.F of 14 and a product of two numbers is 2562. Find the L.C.M of the two numbers? | {
"A": "140",
"B": "150",
"C": "160",
"D": "170",
"E": "183"
} | divide(2562, 14) | divide(n1,n0)| | "l . c . m of two numbers is given by ( product of the two numbers ) / ( h . c . f of the two numbers ) = 2562 / 14 = 183 . answer : e" | physics |
math_qa__zgYw5rGQUlI9BgLx | Let the number which when multiplied by 13 is increased by 180.
Choose the correct choice: A) 14 B) 20 C) 15 D) 28 E) 30 | <gadget id="calculator">13 - 1</gadget>
<output>12</output>
<gadget id="calculator">180 / 12</gadget>
<output>15</output>
<result>C</result> | C | 15 | Let the number which when multiplied by 13 is increased by 180. | {
"A": "14",
"B": "20",
"C": "15",
"D": "28",
"E": "30"
} | divide(180, subtract(13, const_1)) | subtract(n0,const_1)|divide(n1,#0)| | "solution let the number be x . then , 13 x - x = 180 ‹ = › 12 x = 180 x ‹ = › 15 . answer c" | general |
math_qa__2FtKSe1VNG1bob8p | The diagonals of a rhombus are 20 cm and 25 cm. Find its area?
Select the correct option
A) 158 B) 129 C) 250 D) 123 E) 117 | <gadget id="calculator">(20 * 25) / 2</gadget>
<output>250</output>
<result>C</result> | C | 250 | The diagonals of a rhombus are 20 cm and 25 cm. Find its area? | {
"A": "158",
"B": "129",
"C": "250",
"D": "123",
"E": "117"
} | rhombus_area(20, 25) | rhombus_area(n0,n1)| | "1 / 2 * 20 * 25 = 250 answer : c" | geometry |
math_qa__tkn1KlgFsMaTwHwm | 10^(655) ÷ 10^(652) = ? Pick:
A) 1 B) 100 C) 10000 D) 100000 E) 1000 | <gadget id="calculator">655 - 652</gadget>
<output>3</output>
<gadget id="calculator">10 ** 3</gadget>
<output>1_000</output>
<result>E</result> | E | 1,000 | 10^(655) ÷ 10^(652) = ? | {
"A": "1",
"B": "100",
"C": "10000",
"D": "100000",
"E": "1000"
} | power(10, subtract(655, 652)) | subtract(n1,n3)|power(n0,#0)| | "10 ^ ( 655 ) ã · 10 ^ ( 652 ) = 10 ^ ( 655 - 652 ) = 10 ^ 3 = 1000 answer : e" | general |
math_qa__LVrNAyL1zSpn7a7S | If 20 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect?
Select.
A) 110
B) 130
C) 150
D) 170
E) 190 | <gadget id="calculator">factorial(20)</gadget>
<output>2_432_902_008_176_640_000</output>
<gadget id="calculator">20 - 2</gadget>
<output>18</output>
<gadget id="calculator">factorial(18)</gadget>
<output>6_402_373_705_728_000</output>
<gadget id="calculator">factorial(2)</gadget>
<output>2</output>
<gadget id="calculator">6_402_373_705_728_000 * 2</gadget>
<output>12_804_747_411_456_000</output>
<gadget id="calculator">2_432_902_008_176_640_000 / 12_804_747_411_456_000</gadget>
<output>190</output>
<result>E</result> | E | 190 | If 20 lines are drawn in a plane such that no two of them are parallel and no three are concurrent, then in how many points do they intersect? | {
"A": "110",
"B": "130",
"C": "150",
"D": "170",
"E": "190"
} | divide(factorial(20), multiply(factorial(subtract(20, const_2)), factorial(const_2))) | factorial(n0)|factorial(const_2)|subtract(n0,const_2)|factorial(#2)|multiply(#3,#1)|divide(#0,#4) | if two lines are not parallel , then they will intersect in exactly one point . lines can be extended infinitely on both ends so somewhere they will intersect with each other if they are not parallel . we are also given that no three lines are concurrent . this means that no three lines intersect at the same point . so every pair of two lines we select will have a unique point of intersection which they will not share with any third line . the number of ways to select 2 lines from 20 lines is 20 c 2 = 190 the answer is e . | physics |
math_qa__nxvhTs6dFUrs3nAf | The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 12 km/hr respectively. They will meet for the first time in?
Select
A) 32 min B) 40 min C) 35 min D) 25 min E) 20 min | <gadget id="calculator">20 + 12</gadget>
<output>32</output>
<result>A</result> | A | 32 | The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 12 km/hr respectively. They will meet for the first time in? | {
"A": "32 min",
"B": "40 min",
"C": "35 min",
"D": "25 min",
"E": "20 min"
} | add(20, 12) | add(n1,n2)| | "clearly , the two will meet when they are 1000 m apart to be 20 + 12 = 32 km apart , they take 1 hour to be 1000 m apart , they take 32 * 1000 / 1000 = 32 min . answer is a" | general |
math_qa__uBhv4eMXdZg6MYY2 | An escalator moves towards the top level at the rate of 15 ft.sec and its length is 180 feet. If a person walks on the moving escalator at the rate of 3 feet per second towards the top level, how much time does he take to cover the entire length. Choose the correct answer: A) 12 sec B) 20 sec C) 15 sec D) 18 sec E) 10 sec | <gadget id="calculator">15 + 3</gadget>
<output>18</output>
<gadget id="calculator">180 / 18</gadget>
<output>10</output>
<result>E</result> | E | 10 | An escalator moves towards the top level at the rate of 15 ft.sec and its length is 180 feet. If a person walks on the moving escalator at the rate of 3 feet per second towards the top level, how much time does he take to cover the entire length. | {
"A": "12 sec",
"B": "20 sec",
"C": "15 sec",
"D": "18 sec",
"E": "10 sec"
} | divide(180, add(15, 3)) | add(n0,n2)|divide(n1,#0)| | "explanation : time taken to cover the entire length = tot . dist / resultant speed = 180 / ( 15 + 3 ) = 10 sec answer : e" | gain |
math_qa__1oP4LYsQbmCXlPaN | A train 200 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is? Choose the correct choice from the following:
A) 10
B) 20
C) 30
D) 40
E) 50 | <gadget id="calculator">200 + 300</gadget>
<output>500</output>
<gadget id="calculator">500 / 1_000</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">45 / 3_600</gadget>
<output>1/80 = around 0.0125</output>
<gadget id="calculator">(1/2) / (1/80)</gadget>
<output>40</output>
<result>D</result> | D | 40 | A train 200 meters long completely crosses a 300 meters long bridge in 45 seconds. What is the speed of the train is? | {
"A": "10",
"B": "20",
"C": "30",
"D": "40",
"E": "50"
} | divide(divide(add(200, 300), const_1000), divide(45, const_3600)) | add(n0,n1)|divide(n2,const_3600)|divide(#0,const_1000)|divide(#2,#1)| | "s = ( 200 + 300 ) / 45 = 500 / 45 * 18 / 5 = 40 answer : d" | physics |
math_qa__kedBImfiUM4IR2FQ | John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $56000 and Ingrid makes $72000, what is their combined tax rate?
Choose the correct choice from the following choices.
A) 32 % B) 34.4 % C) 35 % D) 35.6 % E) 36.4 % | <gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">(3/10) * 56_000</gadget>
<output>16_800</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">(2/5) * 72_000</gadget>
<output>28_800</output>
<gadget id="calculator">16_800 + 28_800</gadget>
<output>45_600</output>
<gadget id="calculator">72_000 + 56_000</gadget>
<output>128_000</output>
<gadget id="calculator">45_600 / 128_000</gadget>
<output>57/160 = around 0.35625</output>
<gadget id="calculator">(57/160) * 100</gadget>
<output>285/8 = around 35.625</output>
<result>D</result> | D | 35.6 | John and Ingrid pay 30% and 40% tax annually, respectively. If John makes $56000 and Ingrid makes $72000, what is their combined tax rate? | {
"A": "32 %",
"B": "34.4 %",
"C": "35 %",
"D": "35.6 %",
"E": "36.4 %"
} | multiply(divide(add(multiply(divide(30, const_100), 56000), multiply(divide(40, const_100), 72000)), add(72000, 56000)), const_100) | add(n2,n3)|divide(n0,const_100)|divide(n1,const_100)|multiply(n2,#1)|multiply(n3,#2)|add(#3,#4)|divide(#5,#0)|multiply(#6,const_100)| | "( 1 ) when 30 and 40 has equal weight or weight = 1 / 2 , the answer would be 35 . ( 2 ) when 40 has larger weight than 30 , the answer would be in between 35 and 40 . unfortunately , we have 2 answer choices d and e that fit that condition so we need to narrow down our range . ( 3 ) get 72000 / 128000 = 72 / 128 = 9 / 16 . 9 / 16 is a little above 8 / 16 = 1 / 2 . thus , our answer is just a little above 35 . answer : d" | gain |
math_qa__v4vgxkJZ5hpJrfZA | During a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 6 gallons. If Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount? Choose the correct choice from the following choices
A) 80 %
B) 100 %
C) 109 %
D) 120 %
E) 140 % | <gadget id="calculator">10 - 1</gadget>
<output>9</output>
<gadget id="calculator">10 + 9</gadget>
<output>19</output>
<gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">19 * 90</gadget>
<output>1_710</output>
<gadget id="calculator">1_710 / 100</gadget>
<output>171/10 = around 17.1</output>
<gadget id="calculator">(171/10) + 6</gadget>
<output>231/10 = around 23.1</output>
<gadget id="calculator">(231/10) / 25</gadget>
<output>231/250 = around 0.924</output>
<gadget id="calculator">1 - (231/250)</gadget>
<output>19/250 = around 0.076</output>
<gadget id="calculator">(19/250) * 100</gadget>
<output>38/5 = around 7.6</output>
<gadget id="calculator">10 + 4</gadget>
<output>14</output>
<gadget id="calculator">14 * 90</gadget>
<output>1_260</output>
<gadget id="calculator">1_260 / 100</gadget>
<output>63/5 = around 12.6</output>
<gadget id="calculator">6 + (63/5)</gadget>
<output>93/5 = around 18.6</output>
<gadget id="calculator">(93/5) / 20</gadget>
<output>93/100 = around 0.93</output>
<gadget id="calculator">1 - (93/100)</gadget>
<output>7/100 = around 0.07</output>
<gadget id="calculator">(7/100) * 100</gadget>
<output>7</output>
<gadget id="calculator">(38/5) / 7</gadget>
<output>38/35 = around 1.085714</output>
<gadget id="calculator">(38/35) * 100</gadget>
<output>760/7 = around 108.571429</output>
<result>C</result> | C | 109 | During a special promotion, a certain filling station is offering a 10 percent discount on gas purchased after the first 6 gallons. If Kim purchased 20 gallons of gas, and Isabella purchased 25 gallons of gas, then Isabella‟s total per-gallon discount is what percent of Kim‟s total per-gallon discount? | {
"A": "80 %",
"B": "100 %",
"C": "109 %",
"D": "120 %",
"E": "140 %"
} | multiply(divide(multiply(subtract(const_1, divide(add(divide(multiply(add(10, subtract(10, const_1)), subtract(const_100, const_10)), const_100), 6), 25)), const_100), multiply(subtract(const_1, divide(add(6, divide(multiply(add(10, const_4), subtract(const_100, const_10)), const_100)), 20)), const_100)), const_100) | add(n0,const_4)|subtract(n0,const_1)|subtract(const_100,const_10)|add(n0,#1)|multiply(#0,#2)|divide(#4,const_100)|multiply(#3,#2)|add(n1,#5)|divide(#6,const_100)|add(n1,#8)|divide(#7,n2)|divide(#9,n3)|subtract(const_1,#10)|multiply(#12,const_100)|subtract(const_1,#11)|multiply(#14,const_100)|divide(#15,#13)|multiply(#16,const_100) | kim purchased 20 gallons of gas . she paid for 6 + 0.9 * 14 = 18.6 gallons , so the overall discount she got was 1.4 / 20 = 7 % . isabella purchased 25 gallons of gas . she paid for 6 + 0.9 * 19 = 23.1 gallons , so the overall discount she got was 1.9 / 25 = 7.6 % . 7.6 is 7.6 / 7 * 100 = 109 % of 7 . answer : c . | gain |
math_qa__mi14YbjuxFXKDLZk | if two of the 4 expressions x + y , x + 5 y , x - y , and 5 x - y are chosen at random , what is the probability w that their product will be of the form of x ^ 2 - ( by ) ^ 2 , where b is an integer ? Choose the correct choice
A) 1 / 2
B) 1 / 3
C) 1 / 4
D) 1 / 5
E) w = 1 / 6 | <gadget id="calculator">factorial(4)</gadget>
<output>24</output>
<gadget id="calculator">factorial(2)</gadget>
<output>2</output>
<gadget id="calculator">24 / 2</gadget>
<output>12</output>
<gadget id="calculator">12 / 2</gadget>
<output>6</output>
<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<result>E</result> | E | 0.166667 | if two of the 4 expressions x + y , x + 5 y , x - y , and 5 x - y are chosen at random , what is the probability w that their product will be of the form of x ^ 2 - ( by ) ^ 2 , where b is an integer ? | {
"A": "1 / 2",
"B": "1 / 3",
"C": "1 / 4",
"D": "1 / 5",
"E": "w = 1 / 6"
} | divide(const_1, divide(divide(factorial(4), factorial(const_2)), factorial(const_2))) | factorial(n0)|factorial(const_2)|divide(#0,#1)|divide(#2,#1)|divide(const_1,#3) | only ( x + y ) ( x - y ) pair will give the form x ^ 2 - ( by ) ^ 2 the probability of selecting these two pairs are 1 / 4 * 1 / 3 = 1 / 12 , assuming x + y is picked first , then x - y , but x - y can be picked first followed by x + y . so the probability w = 1 / 12 * 2 = 1 / 6 ans e | general |
math_qa__SpEKE4TGcg3how7Z | If 4 men working 10 hours a day earn Rs. 1200 per week, then 9 men working 6 hours a day will earn how much per week?
Choose the correct choice from the following.
A) rs 840
B) rs 1320
C) rs 1620
D) rs 1680
E) none of these | <gadget id="calculator">9 * 6</gadget>
<output>54</output>
<gadget id="calculator">4 * 10</gadget>
<output>40</output>
<gadget id="calculator">54 / 40</gadget>
<output>27/20 = around 1.35</output>
<gadget id="calculator">(27/20) * 1_200</gadget>
<output>1_620</output>
<result>C</result> | C | 1,620 | If 4 men working 10 hours a day earn Rs. 1200 per week, then 9 men working 6 hours a day will earn how much per week? | {
"A": "rs 840",
"B": "rs 1320",
"C": "rs 1620",
"D": "rs 1680",
"E": "none of these"
} | multiply(divide(multiply(9, 6), multiply(4, 10)), 1200) | multiply(n3,n4)|multiply(n0,n1)|divide(#0,#1)|multiply(n2,#2)| | "explanation : ( men 4 : 9 ) : ( hrs / day 10 : 6 ) : : 1200 : x hence 4 * 10 * x = 9 * 6 * 1200 or x = 9 * 6 * 1200 / 4 * 10 = 1620 answer : c" | physics |
math_qa__tDXOi9kUhh7HC2Fh | A test has 180 questions. Each question has 5 options, but only 1 option is correct. If test-takers mark the correct option, they are awarded 1 point. However, if an answer is incorrectly marked, the test-taker loses 0.25 points. No points are awarded or deducted if a question is not attempted. A certain group of test-takers attempted different numbers of questions, but each test-taker still received the same net score of 40. What is the maximum possible number of such test-takers?
Choose the correct choice from the following answers:
A) 29 B) 33 C) 35 D) 40 E) 42 | <gadget id="calculator">180 - 40</gadget>
<output>140</output>
<gadget id="calculator">140 / 5</gadget>
<output>28</output>
<gadget id="calculator">28 + 1</gadget>
<output>29</output>
<gadget id="calculator">29 + 1</gadget>
<output>30</output>
<result>A</result> | A | 29 | A test has 180 questions. Each question has 5 options, but only 1 option is correct. If test-takers mark the correct option, they are awarded 1 point. However, if an answer is incorrectly marked, the test-taker loses 0.25 points. No points are awarded or deducted if a question is not attempted. A certain group of test-takers attempted different numbers of questions, but each test-taker still received the same net score of 40. What is the maximum possible number of such test-takers? | {
"A": "29",
"B": "33",
"C": "35",
"D": "40",
"E": "42"
} | add(add(divide(subtract(180, 40), 5), 1), 1) | subtract(n0,n5)|divide(#0,n1)|add(#1,n2)|add(#2,n2)| | "a correct answers get you 1 point , an incorrect answer gets you minus 1 / 4 point and a skipped question gets you 0 points . since there are 200 total questions , there are a variety of ways to get a total of 40 points . let c be the number of correct answers and let i be the number of incorrect answers . to get 40 points , a test taker must have at least 40 correct answers . then c = > 40 . for every correct question above 40 , the test taker has 4 incorrect answers . then , the i = 4 * ( c - 40 ) . also , i + c < = 180 . thus 5 c < = 340 and so c < = 68 . then 40 < = c < = 68 and c can have 29 possible values . the answer is a ." | general |
math_qa__9hhYQ3RXsV66I14V | 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 16/49 what is the probability that the next one she draws will be pink? Options:
A) 1 / 49 B) 4 / 7 C) 3 / 7 D) 16 / 49 E) 40 / 49 | <gadget id="calculator">16 / 49</gadget>
<output>16/49 = around 0.326531</output>
<gadget id="calculator">(16/49) ** (1/2)</gadget>
<output>4/7 = around 0.571429</output>
<gadget id="calculator">1 - (4/7)</gadget>
<output>3/7 = around 0.428571</output>
<result>C</result> | C | 0.428571 | 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 16/49 what is the probability that the next one she draws will be pink? | {
"A": "1 / 49",
"B": "4 / 7",
"C": "3 / 7",
"D": "16 / 49",
"E": "40 / 49"
} | subtract(const_1, sqrt(divide(16, 49))) | 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 / 49 = ( 4 / 7 ) * ( 4 / 7 ) therefore probability that the next one she draws is pink = 3 / 7 option ( c )" | general |
math_qa__jMZtwlAtQ0Tc5tlI | If x is 25 percent greater than 88, then x = Choose the correct choice from the following choices.
A) 110 B) 70.4 C) 86 D) 105.6 E) 108 | <gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) * 88</gadget>
<output>22</output>
<gadget id="calculator">88 + 22</gadget>
<output>110</output>
<result>A</result> | A | 110 | If x is 25 percent greater than 88, then x = | {
"A": "110",
"B": "70.4",
"C": "86",
"D": "105.6",
"E": "108"
} | add(88, multiply(divide(25, const_100), 88)) | divide(n0,const_100)|multiply(n1,#0)|add(n1,#1)| | "x = 88 * 1.25 = 110 so the answer is a ." | general |
math_qa__imCgxrNAdmayC3jp | A cistern 8 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm. What is the total area of the wet surface? Choose the correct choice from the following answers.
A) 40 B) 48 C) 54 D) 62 E) 76 | <gadget id="calculator">8 * 4</gadget>
<output>32</output>
<gadget id="calculator">25 / 100</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">1 + (1/4)</gadget>
<output>5/4 = around 1.25</output>
<gadget id="calculator">4 * (5/4)</gadget>
<output>5</output>
<gadget id="calculator">2 * 5</gadget>
<output>10</output>
<gadget id="calculator">32 + 10</gadget>
<output>42</output>
<gadget id="calculator">8 * (5/4)</gadget>
<output>10</output>
<gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">42 + 20</gadget>
<output>62</output>
<result>D</result> | D | 62 | A cistern 8 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm. What is the total area of the wet surface? | {
"A": "40",
"B": "48",
"C": "54",
"D": "62",
"E": "76"
} | add(add(multiply(8, 4), multiply(const_2, multiply(4, add(1, divide(25, const_100))))), multiply(const_2, multiply(8, add(1, divide(25, const_100))))) | divide(n3,const_100)|multiply(n0,n1)|add(n2,#0)|multiply(n1,#2)|multiply(n0,#2)|multiply(#3,const_2)|multiply(#4,const_2)|add(#1,#5)|add(#7,#6)| | "area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 4 x 1.25 + 8 x 1.25 ) + 8 x 4 ] = 62 the answer is d ." | physics |
math_qa__LFdxHEK5WzGfnTO5 | At a certain food stand, the price of each apple is 40¢ and the price of each orange is 60¢. Mary selects a total of 10 apples and oranges from the food stand, and the average (arithmetic mean) price of the 10 pieces of fruit is 54¢. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is 48¢?
Choose the correct choice from the following choices:
A) 1
B) 2
C) 3
D) 4
E) 5 | <gadget id="calculator">60 * 10</gadget>
<output>600</output>
<gadget id="calculator">54 * 10</gadget>
<output>540</output>
<gadget id="calculator">600 - 540</gadget>
<output>60</output>
<gadget id="calculator">60 - 40</gadget>
<output>20</output>
<gadget id="calculator">60 / 20</gadget>
<output>3</output>
<gadget id="calculator">3 * 40</gadget>
<output>120</output>
<gadget id="calculator">10 - 3</gadget>
<output>7</output>
<gadget id="calculator">7 * 60</gadget>
<output>420</output>
<gadget id="calculator">120 + 420</gadget>
<output>540</output>
<gadget id="calculator">48 * 10</gadget>
<output>480</output>
<gadget id="calculator">540 - 480</gadget>
<output>60</output>
<gadget id="calculator">60 - 48</gadget>
<output>12</output>
<gadget id="calculator">60 / 12</gadget>
<output>5</output>
<result>E</result> | E | 5 | At a certain food stand, the price of each apple is 40¢ and the price of each orange is 60¢. Mary selects a total of 10 apples and oranges from the food stand, and the average (arithmetic mean) price of the 10 pieces of fruit is 54¢. How many oranges must Mary put back so that the average price of the pieces of fruit that she keeps is 48¢? | {
"A": "1",
"B": "2",
"C": "3",
"D": "4",
"E": "5"
} | divide(subtract(add(multiply(divide(subtract(multiply(60, 10), multiply(54, 10)), subtract(60, 40)), 40), multiply(subtract(10, divide(subtract(multiply(60, 10), multiply(54, 10)), subtract(60, 40))), 60)), multiply(48, 10)), subtract(60, 48)) | multiply(n1,n2)|multiply(n2,n4)|multiply(n2,n5)|subtract(n1,n0)|subtract(n1,n5)|subtract(#0,#1)|divide(#5,#3)|multiply(n0,#6)|subtract(n2,#6)|multiply(n1,#8)|add(#7,#9)|subtract(#10,#2)|divide(#11,#4)| | "if the average price is 54 , then mary has 7 oranges and 3 apples ( a ratio of 7 : 3 ) . for the average price to be 48 , the ratio should be 2 : 3 . mary must put back 5 oranges . the answer is e ." | general |
math_qa__tGihKKzKwSwacPMy | david has $ 1800 at the beginning of his trip , after spending money , he still has exactly $ 800 less than he spent on the trip . how much money does john still have ? Choices:
A) $ 200 B) $ 500 C) $ 600 D) $ 800 E) $ 1,200 | <gadget id="calculator">1_800 - 800</gadget>
<output>1_000</output>
<gadget id="calculator">1_000 / 2</gadget>
<output>500</output>
<result>B</result> | B | 500 | david has $ 1800 at the beginning of his trip , after spending money , he still has exactly $ 800 less than he spent on the trip . how much money does john still have ? | {
"A": "$ 200",
"B": "$ 500",
"C": "$ 600",
"D": "$ 800",
"E": "$ 1,200"
} | divide(subtract(1800, 800), const_2) | subtract(n0,n1)|divide(#0,const_2) | suppose total money spent = x not spend ( money he still has ) = x - 800 x + x - 800 = 1800 x = 1300 money not spend = 1300 - 800 = 500 answer : b | general |
math_qa__GRvcgs3ns2AUGfIP | Two cylinders of the radius in the ratio 3 : 5 and heights in the ratio 10 : 9. Then find the volumes ratio?
Choose the correct choice from the following.
A) 4 : 5
B) 1 : 5
C) 3 : 5
D) 1.5 : 5
E) 2 : 5 | <gadget id="calculator">3 ** 2</gadget>
<output>9</output>
<gadget id="calculator">9 * 10</gadget>
<output>90</output>
<gadget id="calculator">5 ** 2</gadget>
<output>25</output>
<gadget id="calculator">25 * 9</gadget>
<output>225</output>
<gadget id="calculator">90 / 225</gadget>
<output>2/5 = around 0.4</output>
<result>E</result> | E | 0.4 | Two cylinders of the radius in the ratio 3 : 5 and heights in the ratio 10 : 9. Then find the volumes ratio? | {
"A": "4 : 5",
"B": "1 : 5",
"C": "3 : 5",
"D": "1.5 : 5",
"E": "2 : 5"
} | divide(multiply(power(3, const_2), 10), multiply(power(5, const_2), 9)) | power(n0,const_2)|power(n1,const_2)|multiply(n2,#0)|multiply(n3,#1)|divide(#2,#3) | π r ( power 2 ) h : π r ( power 2 ) h 9 × 10 : 25 × 9 90 : 225 2 : 5 answer is e . | geometry |
math_qa__YLppKkOfNHA6sFbB | The length of the bridge, which a train 125 m long and traveling at 45 km/hr can cross in 30 sec is? Choose the correct option.
A) 235
B) 240
C) 245
D) 250
E) 255 | <gadget id="calculator">1_000 / 1</gadget>
<output>1_000</output>
<gadget id="calculator">45 * 1_000</gadget>
<output>45_000</output>
<gadget id="calculator">3_600 / 1</gadget>
<output>3_600</output>
<gadget id="calculator">45_000 / 3_600</gadget>
<output>25/2 = around 12.5</output>
<gadget id="calculator">(25/2) * 30</gadget>
<output>375</output>
<gadget id="calculator">375 - 125</gadget>
<output>250</output>
<result>D</result> | D | 250 | The length of the bridge, which a train 125 m long and traveling at 45 km/hr can cross in 30 sec is? | {
"A": "235",
"B": "240",
"C": "245",
"D": "250",
"E": "255"
} | subtract(multiply(divide(multiply(45, speed(const_1000, const_1)), speed(const_3600, const_1)), 30), 125) | speed(const_1000,const_1)|speed(const_3600,const_1)|multiply(n1,#0)|divide(#2,#1)|multiply(n2,#3)|subtract(#4,n0)| | "speed = 45 * 5 / 18 = 25 / 2 m / sec . time = 30 sec let the length of bridge be x meters . then , ( 125 + x ) / 30 = 25 / 2 x = 250 m . answer : option d" | physics |
math_qa__nOSFdQAXXcYt0CpP | Car A runs at the speed of 65km/hr & reaches its destination in 5hr. Car B runs at the speed of 70 km/h & reaches its destination in 4h. What is the respective ratio of distances covered by Car A & Car B? Choose the correct answer.
A) 11 : 6 B) 12 : 7 C) 13 : 7 D) 15 : 6 E) 65 : 56 | <gadget id="calculator">65 * 5</gadget>
<output>325</output>
<gadget id="calculator">70 * 4</gadget>
<output>280</output>
<gadget id="calculator">325 / 280</gadget>
<output>65/56 = around 1.160714</output>
<result>E</result> | E | 1.160714 | Car A runs at the speed of 65km/hr & reaches its destination in 5hr. Car B runs at the speed of 70 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": "15 : 6",
"E": "65 : 56"
} | divide(multiply(65, 5), multiply(70, 4)) | multiply(n0,n1)|multiply(n2,n3)|divide(#0,#1) | sol . distance travelled by car a = 65 ã — 5 = 325 km distance travelled by car b = 70 ã — 4 = 280 km ratio = 325 / 280 = 65 : 56 e | physics |
math_qa__33KO2KWWAoQ0OvRC | There are 250men and 150 women in a committee, if all will work they will complete 12 units per day, if all men work they will complete 15 units per day, how many units will women complete per day?
Select: A) 2 B) 3 C) 4 D) 5 E) 7 | <gadget id="calculator">15 - 12</gadget>
<output>3</output>
<result>B</result> | B | 3 | There are 250men and 150 women in a committee, if all will work they will complete 12 units per day, if all men work they will complete 15 units per day, how many units will women complete per day? | {
"A": "2",
"B": "3",
"C": "4",
"D": "5",
"E": "7"
} | subtract(15, 12) | subtract(n3,n2) | i think there is a mistake in this question . if all men and women together complete 12 units , how only men can do 15 units of work a day ? forgetting about the reality , women can do - 3 units a day . answer : b | physics |
math_qa__W1ZaDPLh93AqalVd | The cash difference between the selling prices of an article at a profit of 10% and 6% is Rs. 3. The ratio of the two selling prices is? Choose the correct choice from the following answers: A) 52 : 56 B) 55 : 53 C) 52 : 50 D) 22 : 56 E) 52 : 51 | <gadget id="calculator">100 + 10</gadget>
<output>110</output>
<gadget id="calculator">100 + 6</gadget>
<output>106</output>
<gadget id="calculator">110 / 106</gadget>
<output>55/53 = around 1.037736</output>
<result>B</result> | B | 1.037736 | The cash difference between the selling prices of an article at a profit of 10% and 6% is Rs. 3. The ratio of the two selling prices is? | {
"A": "52 : 56",
"B": "55 : 53",
"C": "52 : 50",
"D": "22 : 56",
"E": "52 : 51"
} | divide(add(const_100, 10), add(const_100, 6)) | add(n0,const_100)|add(n1,const_100)|divide(#0,#1)| | "let c . p . of the article be rs . x . then , required ratio = 110 % of x / 106 % of x = 110 / 106 = 55 / 53 = 55 : 53 answer : b" | gain |
math_qa__Ids1PEXek5ZnPqYz | In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of
Choose the correct choice from the following answers.
A) 5363 B) 6240 C) 2368 D) 1987 E) 2732 | <gadget id="calculator">96 / 10</gadget>
<output>48/5 = around 9.6</output>
<gadget id="calculator">(48/5) * 650</gadget>
<output>6_240</output>
<result>B</result> | B | 6,240 | In order to obtain an income of Rs. 650 from 10% stock at Rs. 96, one must make an investment of | {
"A": "5363",
"B": "6240",
"C": "2368",
"D": "1987",
"E": "2732"
} | multiply(divide(96, 10), 650) | divide(n2,n1)|multiply(n0,#0) | to obtain rs . 10 , investment = rs . 96 . to obtain rs . 650 , investment = = rs . 6240 . answer : b | gain |
math_qa__q59e2NXAQ4fJGFxq | a 5 - digit number divisible by 3 is to be formed using numerical 0 , 1 , 2 , 3 , 4 and 5 without repetition . the total number e of ways this can be done is : Choose the most appropriate option.
A) 122
B) 210
C) 216
D) 217
E) 225 | <gadget id="calculator">factorial(5)</gadget>
<output>120</output>
<gadget id="calculator">factorial(4)</gadget>
<output>24</output>
<gadget id="calculator">4 * 24</gadget>
<output>96</output>
<gadget id="calculator">120 + 96</gadget>
<output>216</output>
<result>C</result> | C | 216 | a 5 - digit number divisible by 3 is to be formed using numerical 0 , 1 , 2 , 3 , 4 and 5 without repetition . the total number e of ways this can be done is : | {
"A": "122",
"B": "210",
"C": "216",
"D": "217",
"E": "225"
} | add(factorial(5), multiply(4, factorial(4))) | factorial(n0)|factorial(n6)|multiply(n6,#1)|add(#0,#2) | we should determine which 5 digits from given 6 , would form the 5 digit number divisible by 3 . we have six digits : 0 , 1 , 2 , 3 , 4 , 5 . their sum = 15 . for a number to be divisible by 3 the sum of the digits must be divisible by 3 . as the sum of the six given numbers is 15 ( divisible by 3 ) only 5 digits good to form our 5 digit number would be 15 - 0 = { 1 , 2 , 3 , 4 , 5 } and 15 - 3 = { 0 , 1 , 2 , 4 , 5 } . meaning that no other 5 from given six will total the number divisible by 3 . second step : we have two set of numbers : 1 , 2 , 3 , 4 , 5 and 0 , 1 , 2 , 4 , 5 . how many 5 digit numbers can be formed using these two sets : 1 , 2 , 3 , 4 , 5 - - > 5 ! as any combination of these digits would give us 5 digit number divisible by 3 . 5 ! = 120 . 0 , 1 , 2 , 4 , 5 - - > here we can not use 0 as the first digit , otherwise number wo n ' t be any more 5 digit and become 4 digit . so , desired # would be total combinations 5 ! , minus combinations with 0 as the first digit ( combination of 4 ) 4 ! - - > 5 ! - 4 ! = 4 ! ( 5 - 1 ) = 4 ! * 4 = 96 120 + 96 = 216 = e answer : c . | general |
math_qa__tTrjVDqJp5wXOrHV | The lenght of a room is 5.5 m and width is 4 m. Find the cost of paving the floor by slabs at the rate of Rs. 700 per sq. metre. Choose one:
A) s . 15,550 B) s . 15,400 C) s . 16,500 D) s . 17,600 E) s . 17,900 | <gadget id="calculator">5.5 * 4</gadget>
<output>22</output>
<gadget id="calculator">700 * 22</gadget>
<output>15_400</output>
<result>B</result> | B | 15,400 | The lenght of a room is 5.5 m and width is 4 m. Find the cost of paving the floor by slabs at the rate of Rs. 700 per sq. metre. | {
"A": "s . 15,550",
"B": "s . 15,400",
"C": "s . 16,500",
"D": "s . 17,600",
"E": "s . 17,900"
} | multiply(700, multiply(5.5, 4)) | multiply(n0,n1)|multiply(n2,#0)| | "area of the floor = ( 5.5 ã — 4 ) m 2 = 22 m 2 . cost of paving = rs . ( 800 ã — 22 ) = rs . 15400 answer : option b" | physics |
math_qa__QVfgCHZn3XXn62n1 | A car takes 6 hours to cover a distance of 270 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? Choose the correct choice from the following answers.
A) 10 kmph B) 20 kmph C) 25 kmph D) 30 kmph E) 27 kmph | <gadget id="calculator">6 * 3</gadget>
<output>18</output>
<gadget id="calculator">18 / 2</gadget>
<output>9</output>
<gadget id="calculator">270 / 9</gadget>
<output>30</output>
<result>D</result> | D | 30 | A car takes 6 hours to cover a distance of 270 Km. how much should the speed in Kmph be maintained to cover the same direction in 3/2th of the previous time? | {
"A": "10 kmph",
"B": "20 kmph",
"C": "25 kmph",
"D": "30 kmph",
"E": "27 kmph"
} | divide(270, divide(multiply(6, 3), 2)) | multiply(n0,n2)|divide(#0,n3)|divide(n1,#1)| | "time = 6 distence = 270 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 270 / 9 = 30 kmph d )" | physics |
math_qa__12ahNmrukngAYcWk | At a supermarket, John spent 1/5 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $11 on candy, how much did John spend at the supermarket? Choices
A) $ 20 B) $ 30 C) $ 50 D) $ 90 E) $ 110 | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">1 / 3</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/10) + (1/3)</gadget>
<output>13/30 = around 0.433333</output>
<gadget id="calculator">1 / 5</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(13/30) + (1/5)</gadget>
<output>19/30 = around 0.633333</output>
<gadget id="calculator">1 - (19/30)</gadget>
<output>11/30 = around 0.366667</output>
<gadget id="calculator">11 / (11/30)</gadget>
<output>30</output>
<result>B</result> | B | 30 | At a supermarket, John spent 1/5 of his money on fresh fruits and vegetables, 1/3 on meat products, and 1/10 on bakery products. If he spent the remaining $11 on candy, how much did John spend at the supermarket? | {
"A": "$ 20",
"B": "$ 30",
"C": "$ 50",
"D": "$ 90",
"E": "$ 110"
} | divide(11, subtract(1, add(add(divide(1, 10), divide(1, 3)), divide(1, 5)))) | divide(n0,n5)|divide(n0,n3)|divide(n0,n1)|add(#0,#1)|add(#3,#2)|subtract(n0,#4)|divide(n6,#5)| | "let ' s let t = total number of dollars spent at the supermarket . with this variable we can set up an equation and determine t . we are given that john spent 1 / 5 of his money on fresh fruits and vegetables , or ( 1 / 5 ) t , 1 / 3 on meat products , or ( 1 / 3 ) t , and 1 / 10 on bakery products , or ( 1 / 10 ) t . we are also given that he spent the remaining $ 11 on candy . since we know where all his money was allocated , we can sum these values together and set the sum to t . so we have : ( 1 / 5 ) t + ( 1 / 3 ) t + ( 1 / 10 ) t + 11 = t to get rid of the fractions we can multiply the entire equation by 30 , and we obtain : 6 t + 10 t + 3 t + 330 = 30 t 19 t + 330 = 30 t 330 = 11 t t = 30 john spent $ 90 at the supermarket . answer : b" | general |
math_qa__JZzNLtuePZOsOJj5 | A and B finish the job in 15 days.while A,B and C can finish it in 12 days . C alone will finish the job in
Choose the most appropriate option: A) 40 days B) 30 days C) 60 days D) 70 days E) 50 days | <gadget id="calculator">12 * 15</gadget>
<output>180</output>
<gadget id="calculator">15 - 12</gadget>
<output>3</output>
<gadget id="calculator">180 / 3</gadget>
<output>60</output>
<result>C</result> | C | 60 | A and B finish the job in 15 days.while A,B and C can finish it in 12 days . C alone will finish the job in | {
"A": "40 days",
"B": "30 days",
"C": "60 days",
"D": "70 days",
"E": "50 days"
} | divide(multiply(12, 15), subtract(15, 12)) | multiply(n0,n1)|subtract(n0,n1)|divide(#0,#1)| | "explanation : 12 = ( 15 * x ) / ( 15 + x ) 180 + 12 x = 15 x 3 x = 180 x = 60 answer : option c" | physics |
math_qa__kBALUuyPlNDyqwJ5 | One ball will drop from a certain height. The height it will reach after rebounding from the floor is 50 percent of the previous height. The total travel is 250cm when it touches the floor on third time. What is the value of the original height?
Choose the correct choice from the following choices
A) 80 cm B) 90 cm C) 100 cm D) 120 cm E) 130 cm | <gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 + (1/2)</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">250 / (5/2)</gadget>
<output>100</output>
<result>C</result> | C | 100 | One ball will drop from a certain height. The height it will reach after rebounding from the floor is 50 percent of the previous height. The total travel is 250cm when it touches the floor on third time. What is the value of the original height? | {
"A": "80 cm",
"B": "90 cm",
"C": "100 cm",
"D": "120 cm",
"E": "130 cm"
} | divide(250, add(const_2, divide(50, const_100))) | divide(n0,const_100)|add(#0,const_2)|divide(n1,#1)| | "when ball comes down , then i have indicated the distance covered in green when ball goes up , then i have indicated the distance covered in red distance travelled uptil the ball touches the floor 3 rd time : h + 0.5 h + 0.5 h + 0.5 * 0.5 h + 0.5 * 0.5 h h + 2 * 0.5 * h + 2 * 0.25 * h = h ( 1 + 2 * 0.5 + 2 * 0.25 ) = h ( 1 + 1 + 0.5 ) = 250 2.5 h = 250 h = 100 . c is the answer ." | gain |
math_qa__NTzC4MHA8yZScxKr | In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 30 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ?
Select the correct option
A) 50 % B) 53 % C) 54 % D) 55 % E) 57 % | <gadget id="calculator">75 / 100</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">60 * (3/4)</gadget>
<output>45</output>
<gadget id="calculator">100 - 60</gadget>
<output>40</output>
<gadget id="calculator">30 / 100</gadget>
<output>3/10 = around 0.3</output>
<gadget id="calculator">40 * (3/10)</gadget>
<output>12</output>
<gadget id="calculator">45 + 12</gadget>
<output>57</output>
<result>E</result> | E | 57 | In a certain city, 60 percent of the registered voters are Democrats and the rest are Republicans. In a mayoral race, if 75 percent of the registered voters who are Democrats and 30 percent of the registered voters who are Republicans are expected to vote for Candidate A, what percent of the registered voters are expected to vote for Candidate A ? | {
"A": "50 %",
"B": "53 %",
"C": "54 %",
"D": "55 %",
"E": "57 %"
} | add(multiply(60, divide(75, const_100)), multiply(subtract(const_100, 60), divide(30, const_100))) | divide(n1,const_100)|divide(n2,const_100)|subtract(const_100,n0)|multiply(n0,#0)|multiply(#1,#2)|add(#3,#4)| | "say there are total of 100 registered voters in that city . thus 60 are democrats and 40 are republicans . 60 * 0.75 = 45 democrats are expected to vote for candidate a ; 40 * 0.30 = 12 republicans are expected to vote for candidate a . thus total of 45 + 12 = 57 registered voters are expected to vote for candidate a , which is 57 % of the total number of registered voters . answer : e ." | gain |
math_qa__MtFcNEUpAUCIQcC0 | A rectangular tank needs to be coated with insulation. The tank has dimensions of 4 feet, 5 feet, and 2 feet. Each square foot of insulation costs $20. How much will it cost to cover the surface of the tank with insulation?
Choices
A) $ 1520 B) $ 1640 C) $ 1780 D) $ 1850 E) $ 1960 | <gadget id="calculator">2 * (4 * 5 + 5 * 2 + 4 * 2)</gadget>
<output>76</output>
<gadget id="calculator">76 * 20</gadget>
<output>1_520</output>
<result>A</result> | A | 1,520 | A rectangular tank needs to be coated with insulation. The tank has dimensions of 4 feet, 5 feet, and 2 feet. Each square foot of insulation costs $20. How much will it cost to cover the surface of the tank with insulation? | {
"A": "$ 1520",
"B": "$ 1640",
"C": "$ 1780",
"D": "$ 1850",
"E": "$ 1960"
} | multiply(surface_rectangular_prism(4, 5, 2), 20) | surface_rectangular_prism(n0,n1,n2)|multiply(n3,#0)| | "the total surface area is 2 ( 2 * 4 + 4 * 5 + 2 * 5 ) = 76 square feet the total cost is 76 * $ 20 = $ 1520 the answer is a ." | geometry |
math_qa__7YUkhup7MJ1uDNrw | In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (5,5) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A.
Choose the correct choice from the following answers:
A) ( - 2,6 ) B) ( 0,4 ) C) ( 2 , - 6 ) D) ( 2,6 ) E) ( 4,0 ) | <gadget id="calculator">16 - 3</gadget>
<output>13</output>
<gadget id="calculator">13 * 2</gadget>
<output>26</output>
<result>D</result> | D | 26 | In the rectangular coordinate system Point O has coordinates (0,0) and Point B has coordinates (5,5) and if point A is equidistant from points O and B and the area of the triangle OAB is 16, which of the following are the possible coordinates of point A. | {
"A": "( - 2,6 )",
"B": "( 0,4 )",
"C": "( 2 , - 6 )",
"D": "( 2,6 )",
"E": "( 4,0 )"
} | rectangle_area(subtract(16, const_3), const_2) | subtract(n2,const_3)|rectangle_area(#0,const_2) | area . pngsince a is equidistant from points o and b , then it must be somewhere on the green line ( perpendicular bisector of ob ) . ( 2 , - 6 ) and ( 2,6 ) are not on that line . if a is at ( 0,5 ) or ( 5,0 ) , then the area is 1 / 2 * 5 * 5 = 25 / 2 . thus a must be at ( 2,6 ) . answer : d . | geometry |
math_qa__yGYEIokDqgd42uRW | The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 2 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each? Select the correct option:
A) s . 4528
B) s . 1812
C) s . 4527
D) s . 4530
E) s . 4521 | <gadget id="calculator">2 * 12</gadget>
<output>24</output>
<gadget id="calculator">15 + 25</gadget>
<output>40</output>
<gadget id="calculator">24 * 40</gadget>
<output>960</output>
<gadget id="calculator">6 * 3</gadget>
<output>18</output>
<gadget id="calculator">960 - 18</gadget>
<output>942</output>
<gadget id="calculator">4 * 3</gadget>
<output>12</output>
<gadget id="calculator">3 * 12</gadget>
<output>36</output>
<gadget id="calculator">942 - 36</gadget>
<output>906</output>
<gadget id="calculator">906 * 2</gadget>
<output>1_812</output>
<result>B</result> | B | 1,812 | The dimensions of a room are 25 feet * 15 feet * 12 feet. What is the cost of white washing the four walls of the room at Rs. 2 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each? | {
"A": "s . 4528",
"B": "s . 1812",
"C": "s . 4527",
"D": "s . 4530",
"E": "s . 4521"
} | multiply(subtract(subtract(multiply(multiply(const_2, 12), add(15, 25)), multiply(6, 3)), multiply(3, multiply(4, 3))), 2) | add(n0,n1)|multiply(n2,const_2)|multiply(n4,n5)|multiply(n5,n6)|multiply(#0,#1)|multiply(n5,#3)|subtract(#4,#2)|subtract(#6,#5)|multiply(n3,#7)| | "area of the four walls = 2 h ( l + b ) since there are doors and windows , area of the walls = 2 * 12 ( 15 + 25 ) - ( 6 * 3 ) - 3 ( 4 * 3 ) = 906 sq . ft . total cost = 906 * 2 = rs . 1812 answer : b" | geometry |
math_qa__ArOmv8Cch7Y8vWDw | Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 8 inches on a side and costs $10, and a large pizza that measures 12 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone?
Choose the most appropriate option
A) 5 square inches
B) 10 square inches
C) 16 square inches
D) 25 square inches
E) 350 square inches | <gadget id="calculator">12 ** 2</gadget>
<output>144</output>
<gadget id="calculator">144 * 3</gadget>
<output>432</output>
<gadget id="calculator">8 ** 2</gadget>
<output>64</output>
<gadget id="calculator">64 + 144</gadget>
<output>208</output>
<gadget id="calculator">208 + 208</gadget>
<output>416</output>
<gadget id="calculator">432 - 416</gadget>
<output>16</output>
<result>C</result> | C | 16 | Huey's Hip Pizza sells two sizes of square pizzas: a small pizza that measures 8 inches on a side and costs $10, and a large pizza that measures 12 inches on a side and costs $20. If two friends go to Huey's with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone? | {
"A": "5 square inches",
"B": "10 square inches",
"C": "16 square inches",
"D": "25 square inches",
"E": "350 square inches"
} | subtract(multiply(power(12, const_2), const_3), add(add(power(8, const_2), power(12, const_2)), add(power(8, const_2), power(12, const_2)))) | power(n2,const_2)|power(n0,const_2)|add(#1,#0)|multiply(#0,const_3)|add(#2,#2)|subtract(#3,#4)| | "in the first case each can buy one pizza of $ 10 and one pizza of $ 20 . in square inches that would be ( 8 * 8 = 64 ) for the small pizza and ( 12 * 12 = 144 ) for the large pizza . in total sq inches that would be ( 64 + 144 ) * 2 = 416 sq inches . in the second case if they pool their money together they can buy 3 large pizzas . in terms of square inches that would be 3 * 144 = 432 sq inches . hence , the difference is 16 square inches more ( 432 - 416 ) . the correct answer is c" | geometry |
math_qa__uN0HesOqHqrERqrf | 30 men can do a work in 40 days. When should 16 men leave the work so that the entire work is completed in 40 days after they leave the work?
Choose the correct answer: A) 87 days B) 14 days C) 55 days D) 44 days E) 22 days | <gadget id="calculator">30 * 40</gadget>
<output>1_200</output>
<gadget id="calculator">40 * 16</gadget>
<output>640</output>
<gadget id="calculator">1_200 - 640</gadget>
<output>560</output>
<gadget id="calculator">560 / 40</gadget>
<output>14</output>
<result>B</result> | B | 14 | 30 men can do a work in 40 days. When should 16 men leave the work so that the entire work is completed in 40 days after they leave the work? | {
"A": "87 days",
"B": "14 days",
"C": "55 days",
"D": "44 days",
"E": "22 days"
} | divide(subtract(multiply(30, 40), multiply(40, 16)), 40) | multiply(n0,n1)|multiply(n1,n2)|subtract(#0,#1)|divide(#2,n1)| | "total work to be done = 30 * 40 = 1200 let 16 men leave the work after ' p ' days , so that the remaining work is completed in 40 days after they leave the work . 40 p + ( 16 * 40 ) = 1200 40 p = 560 = > p = 14 days answer : b" | physics |
math_qa__8KilUZrxOTCl2oza | What is the normal price of an article sold at $126 after two successive discounts of 10% and 20%? Choose the correct option.
A) $ 155 B) $ 165 C) $ 175 D) $ 185 E) $ 195 | <gadget id="calculator">100 - 10</gadget>
<output>90</output>
<gadget id="calculator">90 / 100</gadget>
<output>9/10 = around 0.9</output>
<gadget id="calculator">100 - 20</gadget>
<output>80</output>
<gadget id="calculator">80 / 100</gadget>
<output>4/5 = around 0.8</output>
<gadget id="calculator">(9/10) * (4/5)</gadget>
<output>18/25 = around 0.72</output>
<gadget id="calculator">126 / (18/25)</gadget>
<output>175</output>
<result>C</result> | C | 175 | What is the normal price of an article sold at $126 after two successive discounts of 10% and 20%? | {
"A": "$ 155",
"B": "$ 165",
"C": "$ 175",
"D": "$ 185",
"E": "$ 195"
} | divide(126, multiply(divide(subtract(const_100, 10), const_100), divide(subtract(const_100, 20), const_100))) | subtract(const_100,n1)|subtract(const_100,n2)|divide(#0,const_100)|divide(#1,const_100)|multiply(#2,#3)|divide(n0,#4)| | "0.8 * 0.9 * cost price = $ 126 cost price = $ 175 the answer is c ." | gain |
math_qa__uraXeAYFyhEuJiso | There are 280 female managers in a certain company. Find the total number of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers. Choose the correct answer: A) 600 B) 650 C) 700 D) 750 E) none of these | <gadget id="calculator">2 / 5</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">280 / (2/5)</gadget>
<output>700</output>
<result>C</result> | C | 700 | There are 280 female managers in a certain company. Find the total number of female employees in the company, if 2/5 of all the employees are managers and 2/5 of all male employees are managers. | {
"A": "600",
"B": "650",
"C": "700",
"D": "750",
"E": "none of these"
} | divide(280, divide(2, 5)) | divide(n1,n2)|divide(n0,#0)| | as per question stem 2 / 5 m ( portion of men employees who are managers ) + 280 ( portion of female employees who are managers ) = 2 / 5 t ( portion of total number of employees who are managers ) , thus we get that 2 / 5 m + 280 = 2 / 5 t , or 2 / 5 ( t - m ) = 280 , from here we get that t - m = 700 , that would be total number of female employees and the answer ( c ) | general |
math_qa__6j0TWHQSHBETEw09 | The average monthly income of P and Q is Rs. 2050. The average monthly income of Q and R is Rs. 5250 and the average monthly income of P and R is Rs. 6200. The monthly income of P is: Choices:
A) 3050
B) 3000
C) 4000
D) 4050
E) 3100 | <gadget id="calculator">2_050 + 6_200</gadget>
<output>8_250</output>
<gadget id="calculator">8_250 - 5_250</gadget>
<output>3_000</output>
<result>B</result> | B | 3,000 | The average monthly income of P and Q is Rs. 2050. The average monthly income of Q and R is Rs. 5250 and the average monthly income of P and R is Rs. 6200. The monthly income of P is: | {
"A": "3050",
"B": "3000",
"C": "4000",
"D": "4050",
"E": "3100"
} | subtract(add(2050, 6200), 5250) | add(n0,n2)|subtract(#0,n1)| | "explanation : let p , q and r represent their respective monthly incomes . then , we have : p + q = ( 2050 x 2 ) = 4100 . . . . ( i ) q + r = ( 5250 x 2 ) = 10500 . . . . ( ii ) p + r = ( 6200 x 2 ) = 12400 . . . . ( iii ) adding ( i ) , ( ii ) and ( iii ) , we get : 2 ( p + q + r ) = 27000 or p + q + r = 13500 . . . . ( iv ) subtracting ( ii ) from ( iv ) , we get p = 3000 . p ' s monthly income = rs . 3000 . answer : b" | general |
math_qa__pGY0Ks4F9owcqbhk | Running at the same constant rate, 16 identical machines can produce a total of 32 shirt per minute. At this rate, how many shirt could 8 such machines produce in 10 minutes? Choose the correct choice: A) 911 B) 100 C) 101 D) 160 E) 785 | <gadget id="calculator">32 / 16</gadget>
<output>2</output>
<gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">20 * 8</gadget>
<output>160</output>
<result>D</result> | D | 160 | Running at the same constant rate, 16 identical machines can produce a total of 32 shirt per minute. At this rate, how many shirt could 8 such machines produce in 10 minutes? | {
"A": "911",
"B": "100",
"C": "101",
"D": "160",
"E": "785"
} | multiply(multiply(divide(32, 16), 10), 8) | divide(n1,n0)|multiply(n3,#0)|multiply(n2,#1)| | "let ' s take the approach that uses the answer choices to eliminate wasted time . 32 / 16 = 2 shirt per minute per machine . 8 machines = 16 per minute . 10 minutes worth = 160 shirt . looking at the answers it is clear . . . we can only choose ( d ) the correct answer is d ." | gain |
math_qa__EruF6APq05tva1pm | A certain cube floating in a bucket of water has between 70 and 85 percent of its volume below the surface of the water. If between 8 and 20 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately Answers.
A) 4
B) 5
C) 7
D) 8
E) 9 | <gadget id="calculator">20 * 100</gadget>
<output>2_000</output>
<gadget id="calculator">100 - 70</gadget>
<output>30</output>
<gadget id="calculator">2_000 / 30</gadget>
<output>200/3 = around 66.666667</output>
<gadget id="calculator">(200/3) ** (1/3)</gadget>
<output>2*15**(2/3)/3 = around 4.054801</output>
<result>A</result> | A | 4 | A certain cube floating in a bucket of water has between 70 and 85 percent of its volume below the surface of the water. If between 8 and 20 cubic centimeters of the cube's volume is above the surface of the water, then the length of a side of the cube is approximately | {
"A": "4",
"B": "5",
"C": "7",
"D": "8",
"E": "9"
} | cube_edge_by_volume(divide(multiply(20, const_100), subtract(const_100, 70))) | multiply(n3,const_100)|subtract(const_100,n0)|divide(#0,#1)|cube_edge_by_volume(#2)| | "if sides are 7 , vol = 7 ^ 3 = 343 70 % = 240.1 , 85 % = 291.55 so vol above water , between 102.9 and 51.45 - - > too big if side are 4 , vol = 64 70 % = 44.8 , 85 % = 54.4 vol above water between 19.2 and 9.6 so 4 should be the answer . check option c , if sides are 5 , vol = 125 70 % = 87.5 , . 85 % = 106.25 vol above water between 18.75 - 37.5 ( sides are 4 cubic centimeters ) a" | geometry |
math_qa__s5L1VfZGjEkCOku4 | The events A and B are independent, the probability that event A occurs is greater than 0, and the probability that event A occurs is twice the probability that event B occurs. The probability that at least one of events A and B occurs is 14 times the probability that both events A and B occur. What is the probability that event A occurs? Choose the correct answer: A) 77 / 2 B) 1 / 7 C) 78 / 85 D) 1 / 5 E) 47 / 85 | <gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">14 * 2</gadget>
<output>28</output>
<gadget id="calculator">28 + 2</gadget>
<output>30</output>
<gadget id="calculator">3 / 30</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/10) * 2</gadget>
<output>1/5 = around 0.2</output>
<result>D</result> | D | 0.2 | The events A and B are independent, the probability that event A occurs is greater than 0, and the probability that event A occurs is twice the probability that event B occurs. The probability that at least one of events A and B occurs is 14 times the probability that both events A and B occur. What is the probability that event A occurs? | {
"A": "77 / 2",
"B": "1 / 7",
"C": "78 / 85",
"D": "1 / 5",
"E": "47 / 85"
} | multiply(divide(add(const_2, const_1), add(multiply(14, const_2), const_2)), const_2) | add(const_1,const_2)|multiply(n1,const_2)|add(#1,const_2)|divide(#0,#2)|multiply(#3,const_2)| | "let us say probability of a occuring is a . let us say probability of b occuring is b . a = 2 b probability ( either a or b or both ) = 14 times probability ( a and b ) a * ( 1 - b ) + b * ( 1 - a ) + ab = 14 * ab substituting a = 2 b in the second equation : 2 b * ( 1 - b ) + b * ( 1 - 2 b ) + 2 b * b = 14 * 2 b * b 3 b - 2 b ^ 2 = 28 b ^ 2 3 b = 30 b ^ 2 b = 3 / 30 = 1 / 10 so , a = 2 b = 1 / 5 the correct answer is d ." | general |
math_qa__BWEkYdc9CF7ceGXu | Three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is
Choose the correct answer
A) 6 B) 12 C) 18 D) 26 E) 28 | <gadget id="calculator">3 * 6</gadget>
<output>18</output>
<result>C</result> | C | 18 | Three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these numbers is | {
"A": "6",
"B": "12",
"C": "18",
"D": "26",
"E": "28"
} | multiply(3, 6) | multiply(n0,n2)| | "solution let the numbers be 3 x , 4 x and 6 x . then , 3 x × 4 x × 6 x = 1944 ‹ = › 72 x 3 = 1944 ‹ = › x 3 = 27 ‹ = › x = 3 therefore , largest number = 6 x = 18 . answer c" | other |
math_qa__neK9GCSVZSbEDXei | Two stations P and Q are 200 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet? Choose the correct choice from the following choices
A) 10 am B) 12 noon C) 10.30 am D) 12.30 am E) 11 am | <gadget id="calculator">200 + 25</gadget>
<output>225</output>
<gadget id="calculator">20 + 25</gadget>
<output>45</output>
<gadget id="calculator">225 / 45</gadget>
<output>5</output>
<gadget id="calculator">5 + 7</gadget>
<output>12</output>
<result>B</result> | B | 12 | Two stations P and Q are 200 km apart on a straight track. One train starts from P at 7 a.m. and travels towards Q at 20 kmph. Another train starts from Q at 8 a.m. and travels towards P at a speed of 25 kmph. At what time will they meet? | {
"A": "10 am",
"B": "12 noon",
"C": "10.30 am",
"D": "12.30 am",
"E": "11 am"
} | add(divide(add(200, 25), add(20, 25)), 7) | add(n0,n4)|add(n2,n4)|divide(#0,#1)|add(n1,#2)| | "assume both trains meet after x hours after 7 am distance covered by train starting from p in x hours = 20 x km distance covered by train starting from q in ( x - 1 ) hours = 25 ( x - 1 ) total distance = 200 = > 20 x + 25 ( x - 1 ) = 200 = > 45 x = 225 = > x = 5 means , they meet after 5 hours after 7 am , ie , they meet at 12 noon answer is b ." | physics |
math_qa__j1JvAXJEIRKaKIyT | There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 17 days more?
Pick one:
A) 89 men
B) 120 men
C) 90 men
D) 60 men
E) 134 men | <gadget id="calculator">22 - 2</gadget>
<output>20</output>
<gadget id="calculator">760 * 20</gadget>
<output>15_200</output>
<gadget id="calculator">15_200 / 17</gadget>
<output>15_200/17 = around 894.117647</output>
<gadget id="calculator">(15_200/17) - 760</gadget>
<output>2_280/17 = around 134.117647</output>
<result>E</result> | E | 134 | There is food for 760 men for 22 days. How many more men should join after two days so that the same food may last for 17 days more? | {
"A": "89 men",
"B": "120 men",
"C": "90 men",
"D": "60 men",
"E": "134 men"
} | subtract(divide(multiply(760, subtract(22, const_2)), 17), 760) | subtract(n1,const_2)|multiply(n0,#0)|divide(#1,n2)|subtract(#2,n0)| | "760 - - - - 22 760 - - - - 20 x - - - - - 17 x * 17 = 760 * 20 x = 894 760 - - - - - - - 134 answer : e" | physics |
math_qa__4az5VbWaF6iHs30X | Find large number from below question The difference of two numbers is 1015. On dividing the larger number by the smaller, we get 9 as quotient and the 15 as remainder Choose the correct choice from the following choices
A) 1209 B) 1324 C) 1245 D) 1140 E) 1635 | <gadget id="calculator">1_015 - 15</gadget>
<output>1_000</output>
<gadget id="calculator">9 - 1</gadget>
<output>8</output>
<gadget id="calculator">1_000 / 8</gadget>
<output>125</output>
<gadget id="calculator">125 * 9</gadget>
<output>1_125</output>
<result>D</result> | D | 1,140 | Find large number from below question The difference of two numbers is 1015. On dividing the larger number by the smaller, we get 9 as quotient and the 15 as remainder | {
"A": "1209",
"B": "1324",
"C": "1245",
"D": "1140",
"E": "1635"
} | multiply(divide(subtract(1015, 15), subtract(9, const_1)), 9) | subtract(n0,n2)|subtract(n1,const_1)|divide(#0,#1)|multiply(n1,#2)| | "let the smaller number be x . then larger number = ( x + 1015 ) . x + 1015 = 9 x + 15 8 x = 1000 x = 125 large number = 125 + 1015 = 1140 answer : d" | general |
math_qa__kmoEbWucroR1Xojy | In a classroom, the average age of boys (b) is g and the average age of girls (g) is b. The average age of all is b+g. At the time of calculation, the class teacher, who is 42 years old was also present in the class. Can you find the value of b+g? Select the correct option: A) 8 B) 3 C) 7 D) 9 E) 10 | <gadget id="calculator">42 * 4</gadget>
<output>168</output>
<gadget id="calculator">168 + 2</gadget>
<output>170</output>
<gadget id="calculator">170 ** (1/2)</gadget>
<output>sqrt(170) = around 13.038405</output>
<gadget id="calculator">(sqrt(170)) + 1</gadget>
<output>1 + sqrt(170) = around 14.038405</output>
<gadget id="calculator">(1 + sqrt(170)) / 2</gadget>
<output>1/2 + sqrt(170)/2 = around 7.019202</output>
<gadget id="calculator">floor(1/2 + sqrt(170)/2)</gadget>
<output>7</output>
<gadget id="calculator">7 - 1</gadget>
<output>6</output>
<gadget id="calculator">6 / 2</gadget>
<output>3</output>
<gadget id="calculator">7 ** 2</gadget>
<output>49</output>
<gadget id="calculator">170 - 49</gadget>
<output>121</output>
<gadget id="calculator">121 ** (1/2)</gadget>
<output>11</output>
<gadget id="calculator">11 - 1</gadget>
<output>10</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">3 + 5</gadget>
<output>8</output>
<result>A</result> | A | 8 | In a classroom, the average age of boys (b) is g and the average age of girls (g) is b. The average age of all is b+g. At the time of calculation, the class teacher, who is 42 years old was also present in the class. Can you find the value of b+g? | {
"A": "8",
"B": "3",
"C": "7",
"D": "9",
"E": "10"
} | add(divide(subtract(floor(divide(add(sqrt(add(multiply(42, const_4), const_2)), const_1), const_2)), const_1), const_2), divide(subtract(sqrt(subtract(add(multiply(42, const_4), const_2), power(floor(divide(add(sqrt(add(multiply(42, const_4), const_2)), const_1), const_2)), const_2))), const_1), const_2)) | multiply(n0,const_4)|add(#0,const_2)|sqrt(#1)|add(#2,const_1)|divide(#3,const_2)|floor(#4)|power(#5,const_2)|subtract(#5,const_1)|divide(#7,const_2)|subtract(#1,#6)|sqrt(#9)|subtract(#10,const_1)|divide(#11,const_2)|add(#8,#12) | a b + g = 8 for b in range ( 199 ) : for g in range ( 199 ) : sum 1 = 2 * b * g + 42 sum 2 = ( b + g ) * ( b + g + 1 ) if ( sum 1 = = sum 2 ) : print ( b , g , sum 1 ) ( b , g ) = ( 35 ) = > b + g = 8 | general |
math_qa__tt4lQQBQgVep9E0O | mr . tom invested in fund x and fund y . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund x paid 23 % and fund y paid 17 % . the interest earned in fund y was exactly $ 200 greater than the interest earned in fund x . how much did ms . tom invest in fund x ? Choose the correct choice from the following answers:
A) $ 32000 B) $ 36000 C) $ 42000 D) $ 44000 E) $ 45000 | <gadget id="calculator">17 / 100</gadget>
<output>17/100 = around 0.17</output>
<gadget id="calculator">(17/100) * 100_000</gadget>
<output>17_000</output>
<gadget id="calculator">17_000 - 200</gadget>
<output>16_800</output>
<gadget id="calculator">23 / 100</gadget>
<output>23/100 = around 0.23</output>
<gadget id="calculator">(17/100) + (23/100)</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">16_800 / (2/5)</gadget>
<output>42_000</output>
<result>C</result> | C | 42,000 | mr . tom invested in fund x and fund y . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund x paid 23 % and fund y paid 17 % . the interest earned in fund y was exactly $ 200 greater than the interest earned in fund x . how much did ms . tom invest in fund x ? | {
"A": "$ 32000",
"B": "$ 36000",
"C": "$ 42000",
"D": "$ 44000",
"E": "$ 45000"
} | divide(subtract(multiply(divide(17, const_100), 100000), 200), add(divide(17, const_100), divide(23, const_100))) | divide(n2,const_100)|divide(n1,const_100)|add(#0,#1)|multiply(n0,#0)|subtract(#3,n3)|divide(#4,#2) | x + y = 100000 0.17 y = 0.23 a + 200 take away decimals first : 17 y = 23 x + 20000 isolate first equation to solve for x ( your goal ) : y = 100000 - y plug in for b : 17 ( 100000 - x ) = 23 x + 20000 1 , 700000 - 17 x = 23 x + 20000 1 , 680000 = 40 x 1 , 680000 / 40 = x x = 42000 = answer choice c | gain |
math_qa__GfWexIDnuIcQprWt | What is the rate percent when the simple interest on Rs.800 amount to Rs.176 in 4 Years? Select the correct option:
A) 5 %
B) 8 %
C) 3 %
D) 9 %
E) 5.5 % | <gadget id="calculator">100 * 176</gadget>
<output>17_600</output>
<gadget id="calculator">800 * 4</gadget>
<output>3_200</output>
<gadget id="calculator">17_600 / 3_200</gadget>
<output>11/2 = around 5.5</output>
<result>E</result> | E | 5.5 | What is the rate percent when the simple interest on Rs.800 amount to Rs.176 in 4 Years? | {
"A": "5 %",
"B": "8 %",
"C": "3 %",
"D": "9 %",
"E": "5.5 %"
} | divide(multiply(const_100, 176), multiply(800, 4)) | multiply(n1,const_100)|multiply(n0,n2)|divide(#0,#1)| | "176 = ( 180 * 4 * r ) / 100 r = 5.5 % answer : e" | gain |
math_qa__dSSkj5G68DlHKXyV | A 6 litre sol is 35% alcohol .How many litres of pure alcohol must be added to produce a sol that is 50% alcohol ? Choose the correct choice from the following choices:
A) a . 0.6
B) b . 1
C) c . 2.1
D) d . 1.8
E) e . 5.4 | <gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">(7/20) * 6</gadget>
<output>21/10 = around 2.1</output>
<gadget id="calculator">2 * (21/10)</gadget>
<output>21/5 = around 4.2</output>
<gadget id="calculator">6 - (21/5)</gadget>
<output>9/5 = around 1.8</output>
<result>D</result> | D | 1.8 | A 6 litre sol is 35% alcohol .How many litres of pure alcohol must be added to produce a sol that is 50% alcohol ? | {
"A": "a . 0.6",
"B": "b . 1",
"C": "c . 2.1",
"D": "d . 1.8",
"E": "e . 5.4"
} | subtract(6, multiply(const_2, multiply(divide(35, const_100), 6))) | divide(n1,const_100)|multiply(n0,#0)|multiply(#1,const_2)|subtract(n0,#2)| | "35 % of 6 = 2.1 50 % of 6 = 3 shortage is 0.9 so we need to have 0.9 / 50 % to get 50 % alcohol content . = 1.8 d" | gain |
math_qa__aKZBx1cEJseEmUHz | Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 170. If the ratio of his marks in English and Maths is 1:4, find his marks in Science? Pick: A) 17 B) 77 C) 66 D) 55 E) 31 | <gadget id="calculator">1 * 3</gadget>
<output>3</output>
<gadget id="calculator">3 + 1</gadget>
<output>4</output>
<gadget id="calculator">3 * 4</gadget>
<output>12</output>
<gadget id="calculator">4 + 12</gadget>
<output>16</output>
<gadget id="calculator">16 + 1</gadget>
<output>17</output>
<result>A</result> | A | 17 | Sushil got thrice as many marks in English as in Science. His total marks in English, Science and Maths are 170. If the ratio of his marks in English and Maths is 1:4, find his marks in Science? | {
"A": "17",
"B": "77",
"C": "66",
"D": "55",
"E": "31"
} | add(add(add(multiply(1, const_3), 1), multiply(multiply(1, const_3), add(multiply(1, const_3), 1))), 1) | multiply(n1,const_3)|add(n1,#0)|multiply(#1,#0)|add(#1,#2)|add(n1,#3) | s : e = 1 : 3 e : m = 1 : 4 - - - - - - - - - - - - s : e : m = 1 : 4 : 12 1 / 17 * 170 = 17 answer : a | general |
math_qa__ym6p2v4XlCgB3JLt | If 6 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed? Pick one: A) 80 B) 63 C) 420 D) 160 E) 1260 | <gadget id="calculator">6 - 1</gadget>
<output>5</output>
<gadget id="calculator">6 * 5</gadget>
<output>30</output>
<gadget id="calculator">30 / 2</gadget>
<output>15</output>
<gadget id="calculator">8 - 1</gadget>
<output>7</output>
<gadget id="calculator">8 * 7</gadget>
<output>56</output>
<gadget id="calculator">56 / 2</gadget>
<output>28</output>
<gadget id="calculator">15 * 28</gadget>
<output>420</output>
<result>C</result> | C | 420 | If 6 parallel lines in a plane is intersected by a family of another 8 parallel lines, how many parallelograms are there in the network thus formed? | {
"A": "80",
"B": "63",
"C": "420",
"D": "160",
"E": "1260"
} | multiply(divide(multiply(6, subtract(6, const_1)), const_2), divide(multiply(8, subtract(8, const_1)), const_2)) | subtract(n0,const_1)|subtract(n1,const_1)|multiply(n0,#0)|multiply(n1,#1)|divide(#2,const_2)|divide(#3,const_2)|multiply(#4,#5)| | "parallelogram can formed by 2 horizontal and 2 vertical lines for horizontal 6 c 2 for vertical 8 c 2 total parallelogram is 6 c 2 * 8 c 2 = 15 * 28 = 420 answer : c" | physics |
math_qa__UdTv8Eh0MJ45URWo | What is the remainder if 7^8 is divided by 100? Select the correct option: A) 7 B) 1 C) 9 D) 10 E) 11 | <gadget id="calculator">100 / 2</gadget>
<output>50</output>
<gadget id="calculator">7 * 7</gadget>
<output>49</output>
<gadget id="calculator">50 - 49</gadget>
<output>1</output>
<result>B</result> | B | 1 | What is the remainder if 7^8 is divided by 100? | {
"A": "7",
"B": "1",
"C": "9",
"D": "10",
"E": "11"
} | subtract(divide(100, const_2), multiply(7, 7)) | divide(n2,const_2)|multiply(n0,n0)|subtract(#0,#1)| | "7 ^ 8 can be written as ( 7 ^ 4 ) ^ 2 if we divide 7 ^ 4 by 100 the reminder is 1 so , ( 7 ^ 4 ) ^ 2 by 100 , the reminder is 1 ^ 2 = 1 answer : b" | general |
math_qa__PZXSME3DLUsFT2lJ | 65% of x = 20% of 617.50. Find the value of x? Choose the correct option.
A) 100 B) 190 C) 150 D) 180 E) 199 | <gadget id="calculator">617.5 / 100</gadget>
<output>6.175</output>
<gadget id="calculator">6.175 * 20</gadget>
<output>123.5</output>
<gadget id="calculator">123.5 * 100</gadget>
<output>12_350</output>
<gadget id="calculator">12_350 / 65</gadget>
<output>190</output>
<result>B</result> | B | 190 | 65% of x = 20% of 617.50. Find the value of x? | {
"A": "100",
"B": "190",
"C": "150",
"D": "180",
"E": "199"
} | divide(multiply(multiply(divide(617.50, const_100), 20), const_100), 65) | divide(n2,const_100)|multiply(n1,#0)|multiply(#1,const_100)|divide(#2,n0)| | "65 % of x = 20 % of 615.50 then , 65 / 100 * x = 20 / 100 * 6175 / 10 x = 190 answer is b" | general |
math_qa__msRK5dgjBENvNJWt | How many numbers from 12 to 82 are exactly divisible by 6? Options: A) 5 B) 7 C) 9 D) 11 E) 12 | <gadget id="calculator">82 / 6</gadget>
<output>41/3 = around 13.666667</output>
<gadget id="calculator">floor(41/3)</gadget>
<output>13</output>
<gadget id="calculator">13 * 6</gadget>
<output>78</output>
<gadget id="calculator">12 / 6</gadget>
<output>2</output>
<gadget id="calculator">floor(2)</gadget>
<output>2</output>
<gadget id="calculator">2 + 1</gadget>
<output>3</output>
<gadget id="calculator">3 * 6</gadget>
<output>18</output>
<gadget id="calculator">78 - 18</gadget>
<output>60</output>
<gadget id="calculator">60 / 6</gadget>
<output>10</output>
<gadget id="calculator">10 + 1</gadget>
<output>11</output>
<result>D</result> | D | 11 | How many numbers from 12 to 82 are exactly divisible by 6? | {
"A": "5",
"B": "7",
"C": "9",
"D": "11",
"E": "12"
} | add(divide(subtract(multiply(floor(divide(82, 6)), 6), multiply(add(floor(divide(12, 6)), const_1), 6)), 6), const_1) | divide(n1,n2)|divide(n0,n2)|floor(#0)|floor(#1)|add(#3,const_1)|multiply(n2,#2)|multiply(n2,#4)|subtract(#5,#6)|divide(#7,n2)|add(#8,const_1)| | "option ' d ' 12 / 6 = 2 and 82 / 6 = 13 = = > 13 - 2 = 11 numbers" | general |
math_qa__xJRbgQPN6xplum7n | 10 men and 15 women finish a work in 6 days. One man alone finishes that work in 100 days. In how many days will a woman finish the work? Choose the most appropriate option: A) 125 days B) 150 days C) 90 days D) 225 days E) none of these | <gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>
<gadget id="calculator">1 / 100</gadget>
<output>1/100 = around 0.01</output>
<gadget id="calculator">10 * (1/100)</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">(1/6) - (1/10)</gadget>
<output>1/15 = around 0.066667</output>
<gadget id="calculator">(1/15) / 15</gadget>
<output>1/225 = around 0.004444</output>
<gadget id="calculator">1 / (1/225)</gadget>
<output>225</output>
<result>D</result> | D | 225 | 10 men and 15 women finish a work in 6 days. One man alone finishes that work in 100 days. In how many days will a woman finish the work? | {
"A": "125 days",
"B": "150 days",
"C": "90 days",
"D": "225 days",
"E": "none of these"
} | inverse(divide(subtract(divide(const_1, 6), multiply(10, divide(const_1, 100))), 15)) | divide(const_1,n2)|divide(const_1,n3)|multiply(n0,#1)|subtract(#0,#2)|divide(#3,n1)|inverse(#4) | 15 women ' s work of a day = 1 ⁄ 6 - 1 ⁄ 10 ⇒ 1 ⁄ 15 part ∴ for 1 whole part a woman will take = 15 × 15 = 225 days . answer d | physics |
math_qa__kADHHFGlB3pOCloh | A certain quantity is measured on two different scales, the R-scale and the S-scale, that are related linearly. Measurements on the R-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60, respectively. What measurement on the R-scale corresponds to a measurement of 100 on the S-scale?
Choose the correct choice from the following answers.
A) 20 B) 36 C) 48 D) 60 E) 84 | <gadget id="calculator">100 - 60</gadget>
<output>40</output>
<gadget id="calculator">24 - 6</gadget>
<output>18</output>
<gadget id="calculator">40 * 18</gadget>
<output>720</output>
<gadget id="calculator">720 / 30</gadget>
<output>24</output>
<gadget id="calculator">24 + 24</gadget>
<output>48</output>
<result>C</result> | C | 48 | A certain quantity is measured on two different scales, the R-scale and the S-scale, that are related linearly. Measurements on the R-scale of 6 and 24 correspond to measurements on the S-scale of 30 and 60, respectively. What measurement on the R-scale corresponds to a measurement of 100 on the S-scale? | {
"A": "20",
"B": "36",
"C": "48",
"D": "60",
"E": "84"
} | add(divide(multiply(subtract(100, 60), subtract(24, 6)), 30), 24) | subtract(n4,n3)|subtract(n1,n0)|multiply(#0,#1)|divide(#2,n2)|add(n1,#3) | question says they are both related linearly so they the relationships can be represented by standard linear definition y = mx + b . let s scale = y . and r scale = x . 30 = 6 m + b eqn 1 60 = 24 m + b eqn 2 eqn 2 - eqn 1 = > 30 = 18 m = > m = 5 / 3 solving for b using either equation gives us b = 20 linear relationship is represented by y = ( 5 / 3 ) x + 20 solve for 100 : 100 = 5 / 3 x + 20 80 = 5 / 3 x x = 48 ans = c | general |
math_qa__BEd1PrDGuLk2ElC1 | A family X went for a vacation. Unfortunately it rained for 13 days when they were there. But
whenever it rained in the mornings, they had clear afternoons and vice versa. In all they enjoyed 11
mornings and 12 afternoons. How many days did they stay there totally? Choose the correct choice from the following answers.
A) 16 B) 18 C) 20 D) 13 E) 14 | <gadget id="calculator">11 + 12</gadget>
<output>23</output>
<gadget id="calculator">23 - 13</gadget>
<output>10</output>
<gadget id="calculator">10 / 2</gadget>
<output>5</output>
<gadget id="calculator">13 + 5</gadget>
<output>18</output>
<result>B</result> | B | 18 | A family X went for a vacation. Unfortunately it rained for 13 days when they were there. But
whenever it rained in the mornings, they had clear afternoons and vice versa. In all they enjoyed 11
mornings and 12 afternoons. How many days did they stay there totally? | {
"A": "16",
"B": "18",
"C": "20",
"D": "13",
"E": "14"
} | add(13, divide(subtract(add(11, 12), 13), const_2)) | add(n1,n2)|subtract(#0,n0)|divide(#1,const_2)|add(n0,#2) | explanation : clearly 11 mornings and 12 afternoons = 23 half days = > since 13 days raining means 13 half days . = > so 23 - 13 = 10 halfdays ( not effecetd by rain ) = > so 10 halfdays = 5 fulldays hence , total no . of days = 13 + 5 = 18 days answer : b | general |
math_qa__wBJfBMp5dhYSzvlT | A textile manufacturing firm employees 125 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 125 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. Monthly establishment charges are Rs 75000. If one loom breaks down and remains idle for one month, the decrease in profit is: Select:
A) 13000 B) 7000 C) 10000 D) 2800 E) none of these | <gadget id="calculator">5 * 1_000</gadget>
<output>5_000</output>
<gadget id="calculator">5_000 * 100</gadget>
<output>500_000</output>
<gadget id="calculator">75_000 * 2</gadget>
<output>150_000</output>
<gadget id="calculator">150_000 + 75_000</gadget>
<output>225_000</output>
<gadget id="calculator">500_000 - 225_000</gadget>
<output>275_000</output>
<gadget id="calculator">125 - 1</gadget>
<output>124</output>
<gadget id="calculator">124 / 125</gadget>
<output>124/125 = around 0.992</output>
<gadget id="calculator">(124/125) * 500_000</gadget>
<output>496_000</output>
<gadget id="calculator">150_000 * (124/125)</gadget>
<output>148_800</output>
<gadget id="calculator">496_000 - 148_800</gadget>
<output>347_200</output>
<gadget id="calculator">347_200 - 75_000</gadget>
<output>272_200</output>
<gadget id="calculator">275_000 - 272_200</gadget>
<output>2_800</output>
<result>D</result> | D | 2,800 | A textile manufacturing firm employees 125 looms. It makes fabrics for a branded company. The aggregate sales value of the output of the 125 looms is Rs 5,00,000 and the monthly manufacturing expenses is Rs 1,50,000. Assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms. Monthly establishment charges are Rs 75000. If one loom breaks down and remains idle for one month, the decrease in profit is: | {
"A": "13000",
"B": "7000",
"C": "10000",
"D": "2800",
"E": "none of these"
} | subtract(subtract(multiply(multiply(5, const_1000), const_100), add(multiply(75000, const_2), 75000)), subtract(subtract(multiply(divide(subtract(125, 1), 125), multiply(multiply(5, const_1000), const_100)), multiply(multiply(75000, const_2), divide(subtract(125, 1), 125))), 75000)) | multiply(n2,const_1000)|multiply(n6,const_2)|subtract(n0,n4)|add(n6,#1)|divide(#2,n0)|multiply(#0,const_100)|multiply(#4,#5)|multiply(#4,#1)|subtract(#5,#3)|subtract(#6,#7)|subtract(#9,n6)|subtract(#8,#10)| | "explanation : profit = 5 , 00,000 â ˆ ’ ( 1 , 50,000 + 75,000 ) = rs . 2 , 75,000 . since , such loom contributes equally to sales and manufacturing expenses . but the monthly charges are fixed at rs 75,000 . if one loan breaks down sales and expenses will decrease . new profit : - = > 500000 ã — ( 124 / 125 ) â ˆ ’ 150000 ã — ( 124 / 125 ) â ˆ ’ 75000 . = > rs 2 , 72,200 . decrease in profit = > 2 , 75,000 â ˆ ’ 2 , 72,200 = > rs . 2,800 . answer : d" | general |
math_qa__Tgk0VnUCmVTaA2Q8 | A thief is spotted by a policeman from a distance of 100 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken?
Choose the correct choice from the following answers:
A) 350 m
B) 200 m
C) 400 m
D) 500 m
E) none of them | <gadget id="calculator">100 * 8</gadget>
<output>800</output>
<gadget id="calculator">10 - 8</gadget>
<output>2</output>
<gadget id="calculator">800 / 2</gadget>
<output>400</output>
<result>C</result> | C | 400 | A thief is spotted by a policeman from a distance of 100 meters. When the policeman starts the chase, the thief also starts running. If the speed of the thief be 8km/hr and that of the policeman 10 km/hr, how far the thief will have run before he is overtaken? | {
"A": "350 m",
"B": "200 m",
"C": "400 m",
"D": "500 m",
"E": "none of them"
} | divide(multiply(100, 8), subtract(10, 8)) | multiply(n0,n1)|subtract(n2,n1)|divide(#0,#1)| | "relative speed of the policeman = ( 10 - 8 ) km / hr = 2 km / hr . time taken by police man to cover ( 100 m / 1000 ) x 1 / 2 hr = 1 / 20 hr . in 1 / 20 hrs , the thief covers a distance of 8 x 1 / 20 km = 2 / 5 km = 400 m answer is c ." | physics |
math_qa__eiUfIDaOqA29CFCq | A major airplane manufacturer announced the sale of 150 small airliners at $125 million each, 75 medium sized airliners at $175 million each, and 60 large airliners at $220 million each. What percentage of the company's income came from large and medium airliners? Choose the most appropriate option: A) 29 % B) 41 % C) 58 % D) 69 % E) 70 % | <gadget id="calculator">75 * 175</gadget>
<output>13_125</output>
<gadget id="calculator">60 * 220</gadget>
<output>13_200</output>
<gadget id="calculator">13_125 + 13_200</gadget>
<output>26_325</output>
<gadget id="calculator">150 * 125</gadget>
<output>18_750</output>
<gadget id="calculator">26_325 + 18_750</gadget>
<output>45_075</output>
<gadget id="calculator">26_325 / 45_075</gadget>
<output>351/601 = around 0.584027</output>
<gadget id="calculator">(351/601) * 100</gadget>
<output>35_100/601 = around 58.402662</output>
<result>C</result> | C | 58 | A major airplane manufacturer announced the sale of 150 small airliners at $125 million each, 75 medium sized airliners at $175 million each, and 60 large airliners at $220 million each. What percentage of the company's income came from large and medium airliners? | {
"A": "29 %",
"B": "41 %",
"C": "58 %",
"D": "69 %",
"E": "70 %"
} | multiply(divide(add(multiply(75, 175), multiply(60, 220)), add(add(multiply(75, 175), multiply(60, 220)), multiply(150, 125))), const_100) | multiply(n2,n3)|multiply(n4,n5)|multiply(n0,n1)|add(#0,#1)|add(#3,#2)|divide(#3,#4)|multiply(#5,const_100) | answer is ( money from mid and large plane ) / ( total money from all the planes ) x 100 = ( 175 ∗ 75 + 220 ∗ 60 ) / ( 125 ∗ 150 + 175 ∗ 75 + 220 ∗ 60 ) ∗ 100 ( 175 ∗ 75 + 220 ∗ 60 ) / ( 125 ∗ 150 + 175 ∗ 75 + 220 ∗ 60 ) ∗ 100 = 58.4 % you could just multiply add divide to get answer . however sometimes its much better to make it easy we should see if we have any common terms 125 * 150 = ( 5 * 5 * 5 ) * ( 2 * 3 * 5 * 5 ) 175 * 75 = ( 5 * 5 * 7 ) * ( 3 * 5 * 5 ) 220 * 60 = ( 2 * 2 * 11 * 5 ) * ( 2 * 2 * 3 * 5 ) 3 * 5 * 5 is common cancel it ans becomes ( 175 + 176 ) / ( 176 + 175 + 250 ) * 100 = ~ = ~ 350 / 600 * 100 = ~ = ~ 7 / 12 * 100 = 60 % > > > 58 % is closest . answer : c | gain |
math_qa__8JDA0EPjTETzbkGS | If 75 percent of a class answered the first question on a certain test correctly, 30 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly? Select the correct option:
A) 25 % B) ( 8 ) 20 % C) 30 % D) 50 % E) 65 % | <gadget id="calculator">75 + 30</gadget>
<output>105</output>
<gadget id="calculator">105 + 20</gadget>
<output>125</output>
<gadget id="calculator">125 - 100</gadget>
<output>25</output>
<result>A</result> | A | 25 | If 75 percent of a class answered the first question on a certain test correctly, 30 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly? | {
"A": "25 %",
"B": "( 8 ) 20 %",
"C": "30 %",
"D": "50 %",
"E": "65 %"
} | subtract(add(add(75, 30), 20), const_100) | add(n0,n1)|add(n2,#0)|subtract(#1,const_100)| | "i did n ' t understand how to connect 20 percent with the whole equation . why 20 is out of the percentile diagram ( circles ) but inside of 100 ? 20 % appeared in the exam ; however did not answer question aquestion b correctly so they are out of the two circles , however as they have appeared in the exam , they have to be taken into consideration for calculation purpose i am doing it this way : suppose the total class size is 100 , then 20 percent of the class answered incorrectly and rest 80 percent answered correctly in question 1 or 2 or both . now , 100 - [ ( 75 - x ) + x + ( 30 - x ) ] = 20 . . . . . . . . . . values are in percent x = 20 - 100 + 105 x = 25 ans : a" | other |
math_qa__kcc4vy7uPicHsZV3 | What is the decimal equivalent of (1/4)^4? Choose one
A) 0.0039 B) 0.0625 C) 0.16 D) 0.25 E) 0.5 | <gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">(1/4) ** 4</gadget>
<output>1/256 = around 0.003906</output>
<result>A</result> | A | 0.0039 | What is the decimal equivalent of (1/4)^4? | {
"A": "0.0039",
"B": "0.0625",
"C": "0.16",
"D": "0.25",
"E": "0.5"
} | power(divide(1, 4), 4) | divide(n0,n1)|power(#0,n2)| | "( 1 / 4 ) ^ 4 = 1 / 256 = 0.0039 answer : a" | general |
math_qa__WXEpVeLlpjTc3EXK | ((a+b)/c)/2
In the expression above, a, b, and c are different numbers and each is one of the numbers 2, 3, or 5. What is the least possible value of the expression? Pick one.
A) 2 / 10 B) 5 / 10 C) 10 / 5 D) 7 / 6 E) 6 / 7 | <gadget id="calculator">5 / 10</gadget>
<output>1/2 = around 0.5</output>
<result>B</result> | B | 0.5 | ((a+b)/c)/2
In the expression above, a, b, and c are different numbers and each is one of the numbers 2, 3, or 5. What is the least possible value of the expression? | {
"A": "2 / 10",
"B": "5 / 10",
"C": "10 / 5",
"D": "7 / 6",
"E": "6 / 7"
} | divide(5, const_10) | divide(n3,const_10) | ( ( a + b ) / c ) / 2 = ( a + b ) / 2 c the expression will have the least value when numerator ( a + b ) is the smallest . = ( 2 + 3 ) / 2 * 5 = 5 / 10 answer b | general |
math_qa__BtAKRaaNo1h96xIS | 85% of the population of a city is 85000. The total population of the city is? Choose the correct choice from the following answers
A) 95000 B) 97500 C) 100000 D) 105000 E) 102500 | <gadget id="calculator">100 / 85</gadget>
<output>20/17 = around 1.176471</output>
<gadget id="calculator">(20/17) * 85_000</gadget>
<output>100_000</output>
<result>C</result> | C | 100,000 | 85% of the population of a city is 85000. The total population of the city is? | {
"A": "95000",
"B": "97500",
"C": "100000",
"D": "105000",
"E": "102500"
} | multiply(divide(const_100, 85), 85000) | divide(const_100,n0)|multiply(n1,#0)| | "x * ( 85 / 100 ) = 85000 x = 1000 * 100 x = 100000 answer : c" | gain |
math_qa__MjnaIK6zy5h1D8kl | If the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. What is the first quartile of the list of numbers 42, 24, 30, 22, 26, 27, 33 and 35 ? Choose one: A) 33 B) 28 C) 27 D) 24 E) 25 | <gadget id="calculator">24 + 26</gadget>
<output>50</output>
<gadget id="calculator">50 / 2</gadget>
<output>25</output>
<result>E</result> | E | 25 | If the median of a list of numbers is m, the first quartile of the list is the median of the numbers in the list that are less than m. What is the first quartile of the list of numbers 42, 24, 30, 22, 26, 27, 33 and 35 ? | {
"A": "33",
"B": "28",
"C": "27",
"D": "24",
"E": "25"
} | divide(add(24, 26), const_2) | add(n1,n4)|divide(#0,const_2) | it is given that a quartile is the middle number of all numbers less than median . . so lets arrange the number in ascending order - 42 , 24 , 30 , 22 , 26 , 27 , 33 and 35 22 , 24 , 26 , 27 , 30 , 33 , 35 , 42 , . . . numbers less than median are 22 , 24 , 26 , 27 . . the median of these numbers = center of 24 and 26 = 25 e | general |
math_qa__F6mxPMBKlEJY3IvG | 14. The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? Choose the correct choice from the following answers: A) 7 B) 9 C) 8 D) 5 E) 4 | <gadget id="calculator">25 ** 2</gadget>
<output>625</output>
<gadget id="calculator">144 * 2</gadget>
<output>288</output>
<gadget id="calculator">625 - 288</gadget>
<output>337</output>
<gadget id="calculator">337 - 288</gadget>
<output>49</output>
<gadget id="calculator">49 - 4</gadget>
<output>45</output>
<gadget id="calculator">45 - 3</gadget>
<output>42</output>
<gadget id="calculator">49 - 42</gadget>
<output>7</output>
<result>A</result> | A | 7 | 14. The sum and the product of two numbers are 25 and 144 respectively, the difference of the number is? | {
"A": "7",
"B": "9",
"C": "8",
"D": "5",
"E": "4"
} | subtract(subtract(subtract(power(25, const_2), multiply(144, const_2)), multiply(144, const_2)), subtract(subtract(subtract(subtract(power(25, const_2), multiply(144, const_2)), multiply(144, const_2)), const_4), const_3)) | multiply(n2,const_2)|power(n1,const_2)|subtract(#1,#0)|subtract(#2,#0)|subtract(#3,const_4)|subtract(#4,const_3)|subtract(#3,#5) | x + y = 25 xy = 144 ( x - y ) 2 = ( x + y ) 2 â € “ 4 xy ( x - y ) 2 = 625 â € “ 576 = > ( x â € “ y ) = 7 answer : a | general |
math_qa__Z2Z8GerUdBn3Eim0 | A certain industrial loom weaves 0.132 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 15 meters of cloth? Choose the correct answer: A) 114 B) 115 C) 116 D) 117 E) 118 | <gadget id="calculator">15 / 0.132</gadget>
<output>113.636364</output>
<result>A</result> | A | 114 | A certain industrial loom weaves 0.132 meters of cloth every second. Approximately how many seconds will it take for the loom to weave 15 meters of cloth? | {
"A": "114",
"B": "115",
"C": "116",
"D": "117",
"E": "118"
} | divide(15, 0.132) | divide(n1,n0)| | "let the required number of seconds be x more cloth , more time , ( direct proportion ) hence we can write as ( cloth ) 0.132 : 15 : : 1 : x = > 0.132 * x = 15 = > x = 15 / 0.132 = > x = 114 answer : a" | physics |
math_qa__eH9LWOx4vv4keLfH | the rate at which a sum becomes 4 times of itself in 15 years at s . i . , will be : Pick: A) 10 % B) 15 % C) 20 % D) 40 % E) none | <gadget id="calculator">3 * 100</gadget>
<output>300</output>
<gadget id="calculator">300 / 15</gadget>
<output>20</output>
<result>C</result> | C | 20 | the rate at which a sum becomes 4 times of itself in 15 years at s . i . , will be : | {
"A": "10 %",
"B": "15 %",
"C": "20 %",
"D": "40 %",
"E": "none"
} | divide(multiply(const_3, const_100), 15) | multiply(const_100,const_3)|divide(#0,n1) | sol . let sum = x . then , s . i . = 3 x ∴ rate = [ 100 * s . i . / p * t ] = [ 100 * 3 x / x * 15 ] % = 20 % . answer c | general |
math_qa__4QmKJkkDFTNECgLV | 20 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place?
Choose the correct choice from the following options.
A) 144
B) 131
C) 330
D) 390
E) 445 | <gadget id="calculator">20 - 1</gadget>
<output>19</output>
<gadget id="calculator">20 * 19</gadget>
<output>380</output>
<gadget id="calculator">380 / 2</gadget>
<output>190</output>
<gadget id="calculator">20 * 7</gadget>
<output>140</output>
<gadget id="calculator">190 + 140</gadget>
<output>330</output>
<result>C</result> | C | 330 | 20 business executives and 7 chairmen meet at a conference. If each business executive shakes the hand of every other business executive and every chairman once, and each chairman shakes the hand of each of the business executives but not the other chairmen, how many handshakes would take place? | {
"A": "144",
"B": "131",
"C": "330",
"D": "390",
"E": "445"
} | add(divide(multiply(20, subtract(20, const_1)), const_2), multiply(20, 7)) | multiply(n0,n1)|subtract(n0,const_1)|multiply(n0,#1)|divide(#2,const_2)|add(#3,#0)| | "there are 20 business exec and in each handshake 2 business execs are involved . hence 20 c 2 = 190 also , each of 20 exec will shake hand with every 7 other chairmen for total of 140 handshake . total = 190 + 140 = 330 ans : c" | geometry |
math_qa__aZKWlaSaoY638OJc | A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 9 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what fractional part of the $20.000 was invested at the higher rate? Answers: A) 11 / 20 B) 2 / 5 C) 1 / 2 D) 3 / 5 E) 3 / 4 | <gadget id="calculator">1 + 4</gadget>
<output>5</output>
<gadget id="calculator">2 * 5</gadget>
<output>10</output>
<gadget id="calculator">100 * 10</gadget>
<output>1_000</output>
<gadget id="calculator">4 * 100</gadget>
<output>400</output>
<gadget id="calculator">1_000 + 400</gadget>
<output>1_400</output>
<gadget id="calculator">4 * 10</gadget>
<output>40</output>
<gadget id="calculator">1_400 + 40</gadget>
<output>1_440</output>
<gadget id="calculator">1_440 / 20</gadget>
<output>72</output>
<gadget id="calculator">72 / 9</gadget>
<output>8</output>
<gadget id="calculator">8 + 9</gadget>
<output>17</output>
<gadget id="calculator">17 - 6</gadget>
<output>11</output>
<gadget id="calculator">11 / 20</gadget>
<output>11/20 = around 0.55</output>
<result>A</result> | A | 0.55 | A total of $20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 9 percent, respectively. If the total interest on the two certificates was $1,440 at the end of one year, what fractional part of the $20.000 was invested at the higher rate? | {
"A": "11 / 20",
"B": "2 / 5",
"C": "1 / 2",
"D": "3 / 5",
"E": "3 / 4"
} | divide(subtract(add(divide(divide(add(add(multiply(const_100, multiply(const_2, add(const_1, const_4))), multiply(const_4, const_100)), multiply(const_4, multiply(const_2, add(const_1, const_4)))), 20), 9), 9), 6), 20) | add(const_1,const_4)|multiply(const_100,const_4)|multiply(#0,const_2)|multiply(#2,const_100)|multiply(#2,const_4)|add(#3,#1)|add(#5,#4)|divide(#6,n4)|divide(#7,n2)|add(n2,#8)|subtract(#9,n1)|divide(#10,n4) | x * 6 / 100 * 1 + ( 20000 - x ) * 9 / 100 * 1 = 1440 6 x - 8 x = 144000 - 180000 = > - 2 x = - 18000 = > x = 9000 so 11000 / 20000 = 11 / 20 answer - a | gain |
math_qa__XYzMv3P9AZCAMdwu | In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities?
Choose the correct answer: A) 173 B) 163 C) 153 D) 143 E) 133 | <gadget id="calculator">44 + 28</gadget>
<output>72</output>
<gadget id="calculator">72 + 10</gadget>
<output>82</output>
<gadget id="calculator">100 - 82</gadget>
<output>18</output>
<gadget id="calculator">850 * 18</gadget>
<output>15_300</output>
<gadget id="calculator">15_300 / 100</gadget>
<output>153</output>
<result>C</result> | C | 153 | In a school of 850 boys, 44% of Muslims, 28% Hindus, 10% Sikhs and the remaining of other communities. How many belonged to the other communities? | {
"A": "173",
"B": "163",
"C": "153",
"D": "143",
"E": "133"
} | divide(multiply(850, subtract(const_100, add(add(44, 28), 10))), const_100) | add(n1,n2)|add(n3,#0)|subtract(const_100,#1)|multiply(n0,#2)|divide(#3,const_100)| | "44 + 28 + 10 = 82 % 100 – 82 = 18 % 850 * 18 / 100 = 153 answer : c" | gain |
math_qa__zjxoydr7sboglO4a | On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price Q per glass on the second day?
Choose the correct answer:
A) $ 015 B) $ 0.20 C) $ 0.30 D) $ 0.40 E) $ 0.45 | <gadget id="calculator">1 + 1</gadget>
<output>2</output>
<gadget id="calculator">2 * 0.6</gadget>
<output>1.2</output>
<gadget id="calculator">1 + 2</gadget>
<output>3</output>
<gadget id="calculator">1.2 / 3</gadget>
<output>0.4</output>
<result>D</result> | D | 0.4 | On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price Q per glass on the second day? | {
"A": "$ 015",
"B": "$ 0.20",
"C": "$ 0.30",
"D": "$ 0.40",
"E": "$ 0.45"
} | divide(multiply(add(const_1, const_1), 0.60), add(const_1, const_2)) | add(const_1,const_1)|add(const_1,const_2)|multiply(n0,#0)|divide(#2,#1)| | "on the first day 1 unit of orange juice and 1 unit of water was used to make 2 units of orangeade ; on the second day 1 unit of orange juice and 2 units of water was used to make 3 units of orangeade ; so , the ratio of the amount of orangeade made on the first day to the amount of orangeade made on the second day is 2 to 3 . naturally the ratio of the # of glasses of orangeade made on the first day to the # of glasses of orangeade made on the second day is 2 to 3 . we are told thatthe revenue from selling the orangeade was the same for both daysso the revenue from 2 glasses on the first day equals to the revenue from 3 glasses on the second day . say the price of the glass of the orangeade on the second day was $ x then 2 * 0.6 = 3 * x - - > x = $ 0.4 . answer : d ." | general |
math_qa__8HlGIJlvdXNrjBKQ | In what time will a train 125 m long cross an electric pole, it its speed be 130 km/hr? Pick one
A) 3.5 B) 2.7 C) 2.9 D) 2.3 E) 2.1 | <gadget id="calculator">10 / 36</gadget>
<output>5/18 = around 0.277778</output>
<gadget id="calculator">130 * (5/18)</gadget>
<output>325/9 = around 36.111111</output>
<gadget id="calculator">125 / (325/9)</gadget>
<output>45/13 = around 3.461538</output>
<result>A</result> | A | 3.5 | In what time will a train 125 m long cross an electric pole, it its speed be 130 km/hr? | {
"A": "3.5",
"B": "2.7",
"C": "2.9",
"D": "2.3",
"E": "2.1"
} | divide(125, multiply(130, const_0_2778)) | multiply(n1,const_0_2778)|divide(n0,#0)| | "speed = 130 * 5 / 18 = 36 m / sec time taken = 125 / 36 = 3.5 sec . answer : a" | physics |
math_qa__7sHSoWXKVYZ8v95G | If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 80 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly? Answers
A) 60 %
B) 65 %
C) 70 %
D) 75 %
E) 80 % | <gadget id="calculator">85 + 80</gadget>
<output>165</output>
<gadget id="calculator">165 + 5</gadget>
<output>170</output>
<gadget id="calculator">170 - 100</gadget>
<output>70</output>
<result>C</result> | C | 70 | If 85 percent of the test takers taking an old paper and pencil GMAT exam answered the first question on a given math section correctly, and 80 percent of the test takers answered the second question correctly, and 5 percent of the test takers answered neither question correctly, what percent answered both correctly? | {
"A": "60 %",
"B": "65 %",
"C": "70 %",
"D": "75 %",
"E": "80 %"
} | subtract(add(add(85, 80), 5), const_100) | add(n0,n1)|add(n2,#0)|subtract(#1,const_100)| | "{ total } = { first correctly } + { second correctly } - { both correctly } + { neither correctly } 100 = 85 + 80 - { both correctly } + 5 { both correctly } = 70 . answer : c ." | other |
math_qa__YIGi3S9MylTzvAzq | The length of a side of a hexagon is 8 inches. What is the perimeter? Answers:
A) 40
B) 44
C) 48
D) 50
E) 38 | <gadget id="calculator">3 * 2</gadget>
<output>6</output>
<gadget id="calculator">8 * 6</gadget>
<output>48</output>
<result>C</result> | C | 48 | The length of a side of a hexagon is 8 inches. What is the perimeter? | {
"A": "40",
"B": "44",
"C": "48",
"D": "50",
"E": "38"
} | multiply(8, multiply(const_3, const_2)) | multiply(const_2,const_3)|multiply(n0,#0)| | "hexagon . it means 6 equal sides . p = 6 ( 8 ) = 48 inches answer c" | physics |
math_qa__XUeBdnAWISMgRmH6 | IF A'S INCOME IS 25%LESS THAN B'S.BY WHAT % B'S INCOME IS GREATER THAN A? Choose the most appropriate option.
A) 11 B) 12 C) 33 D) 15 E) 36 | <gadget id="calculator">100 - 25</gadget>
<output>75</output>
<gadget id="calculator">100 / 75</gadget>
<output>4/3 = around 1.333333</output>
<gadget id="calculator">(4/3) - 1</gadget>
<output>1/3 = around 0.333333</output>
<gadget id="calculator">(1/3) * 100</gadget>
<output>100/3 = around 33.333333</output>
<result>C</result> | C | 33 | IF A'S INCOME IS 25%LESS THAN B'S.BY WHAT % B'S INCOME IS GREATER THAN A? | {
"A": "11",
"B": "12",
"C": "33",
"D": "15",
"E": "36"
} | multiply(subtract(divide(const_100, subtract(const_100, 25)), const_1), const_100) | subtract(const_100,n0)|divide(const_100,#0)|subtract(#1,const_1)|multiply(#2,const_100) | if b ' s income is rs 100 , a ' s income = rs 75 % b ' s income is greater than a = 100 * 25 / 75 = 33.33 % answer : c | gain |
math_qa__ZaXcxMp1R1pmTIN9 | Tom purchased 8kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 45 per kg. How much amount did he pay to the shopkeeper? Choose the correct choice from the following answers.
A) 1040 B) 1045 C) 965 D) 1060 E) 1075 | <gadget id="calculator">8 * 70</gadget>
<output>560</output>
<gadget id="calculator">9 * 45</gadget>
<output>405</output>
<gadget id="calculator">560 + 405</gadget>
<output>965</output>
<result>C</result> | C | 965 | Tom purchased 8kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 45 per kg. How much amount did he pay to the shopkeeper? | {
"A": "1040",
"B": "1045",
"C": "965",
"D": "1060",
"E": "1075"
} | add(multiply(8, 70), multiply(9, 45)) | multiply(n0,n1)|multiply(n2,n3)|add(#0,#1)| | "cost of 8 kg apples = 70 × 8 = 560 . cost of 9 kg of mangoes = 45 × 9 = 405 . total cost he has to pay = 560 + 405 = 965 . c )" | gain |
math_qa__7BZXYf18yMiyEDaJ | In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesis concerning the color of theballs that initiallyin the bag were equally possible ? Select.
A) 3 / 5 B) 5 / 8 C) 6 / 7 D) 7 / 8 E) 6 / 7 | <gadget id="calculator">1 / 2</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">1 + 3</gadget>
<output>4</output>
<gadget id="calculator">1 / 4</gadget>
<output>1/4 = around 0.25</output>
<gadget id="calculator">3 / 4</gadget>
<output>3/4 = around 0.75</output>
<gadget id="calculator">(1/4) + (3/4)</gadget>
<output>1</output>
<gadget id="calculator">(1/2) + 1</gadget>
<output>3/2 = around 1.5</output>
<gadget id="calculator">1 + (3/2)</gadget>
<output>5/2 = around 2.5</output>
<gadget id="calculator">(5/2) / 4</gadget>
<output>5/8 = around 0.625</output>
<result>B</result> | B | 0.625 | In a bag containing 3balls, a white ball was placed and then 1ball was taken out at random. What is the probability that the extracted ball would turn on to be white, if all possible hypothesis concerning the color of theballs that initiallyin the bag were equally possible ? | {
"A": "3 / 5",
"B": "5 / 8",
"C": "6 / 7",
"D": "7 / 8",
"E": "6 / 7"
} | divide(add(1, add(divide(1, const_2), add(divide(1, add(1, 3)), divide(3, add(1, 3))))), add(1, 3)) | add(n0,n1)|divide(n1,const_2)|divide(n1,#0)|divide(n0,#0)|add(#2,#3)|add(#4,#1)|add(n1,#5)|divide(#6,#0)| | "since , all possible hypothesis regarding the colour of the balls are equally likely , therefore these could be 3 white balls , initially in the bag . ∴ required probability = 1 / 4 [ 1 + 3 / 4 + 1 / 2 + 1 / 4 ] = 1 / 4 [ ( 4 + 3 + 2 + 1 ) / 4 ] = 5 / 8 b" | probability |
math_qa__q46mZJsVyAqUSeZK | Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 36 meter head start. If Cristina runs at a pace of 6 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?
Choices: A) 15 seconds B) 18 seconds C) 25 seconds D) 30 seconds E) 12 seconds | <gadget id="calculator">6 - 3</gadget>
<output>3</output>
<gadget id="calculator">36 / 3</gadget>
<output>12</output>
<result>E</result> | E | 12 | Nicky and Cristina are running a race. Since Cristina is faster than Nicky, she gives him a 36 meter head start. If Cristina runs at a pace of 6 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": "15 seconds",
"B": "18 seconds",
"C": "25 seconds",
"D": "30 seconds",
"E": "12 seconds"
} | divide(36, subtract(6, 3)) | subtract(n1,n2)|divide(n0,#0)| | "used pluging in method say t is the time for cristina to catch up with nicky , the equation will be as under : for nicky = n = 3 * t + 36 for cristina = c = 6 * t @ t = 12 , n = 72 c = 72 right answer ans : e" | physics |
math_qa__pllNNYiKoWOVXIf5 | It takes 35 identical printing presses 12 hours to print 500,000 papers. How many hours would it take 30 of these printing presses to print 500,000 papers? Choose the correct choice from the following choices.
A) 14 B) 15 C) 16 D) 18 E) 20 | <gadget id="calculator">1_000 / 2</gadget>
<output>500</output>
<gadget id="calculator">500 * 1_000</gadget>
<output>500_000</output>
<gadget id="calculator">500_000 / 35</gadget>
<output>100_000/7 = around 14_285.714286</output>
<gadget id="calculator">(100_000/7) / 12</gadget>
<output>25_000/21 = around 1_190.47619</output>
<gadget id="calculator">(25_000/21) * 30</gadget>
<output>250_000/7 = around 35_714.285714</output>
<gadget id="calculator">500_000 / (250_000/7)</gadget>
<output>14</output>
<result>A</result> | A | 14 | It takes 35 identical printing presses 12 hours to print 500,000 papers. How many hours would it take 30 of these printing presses to print 500,000 papers? | {
"A": "14",
"B": "15",
"C": "16",
"D": "18",
"E": "20"
} | divide(multiply(divide(const_1000, const_2), const_1000), multiply(divide(divide(multiply(divide(const_1000, const_2), const_1000), 35), 12), 30)) | divide(const_1000,const_2)|multiply(#0,const_1000)|divide(#1,n0)|divide(#2,n1)|multiply(n3,#3)|divide(#1,#4)| | "35 printing presses can do 1 / 12 of the job each hour . 30 printing presses can do 6 / 7 * 1 / 12 = 1 / 14 of the job each hour . the answer is a ." | physics |
math_qa__FcAoECDUfY5RRTac | A sum was put at SI at certain rate for 2 years.Had it been put at 3% higher rate, it would have fetched Rs.300 more.Find the Sum
Choose the correct choice from the following answers: A) rs 4000 B) rs 5000 C) rs 6000 D) rs 7000 E) rs 8000 | <gadget id="calculator">3 / 100</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">(3/100) * 2</gadget>
<output>3/50 = around 0.06</output>
<gadget id="calculator">300 / (3/50)</gadget>
<output>5_000</output>
<result>B</result> | B | 5,000 | A sum was put at SI at certain rate for 2 years.Had it been put at 3% higher rate, it would have fetched Rs.300 more.Find the Sum | {
"A": "rs 4000",
"B": "rs 5000",
"C": "rs 6000",
"D": "rs 7000",
"E": "rs 8000"
} | divide(300, multiply(divide(3, const_100), 2)) | divide(n1,const_100)|multiply(n0,#0)|divide(n2,#1) | let p be the sum . and x be the interest rate . ( 2 * ( x + 3 ) * p / 100 ) - ( 2 * x * p / 100 ) = 300 therefore 6 p / 100 = 300 p = rs 5000 answer : b | gain |
math_qa__8YvrBseI2CnCHt5K | 9 people decided to split the restaurant bill evenly. If the bill was $314.16 dollars, how much money did they 1 cent is the smallest unit? Select the correct option.
A) $ 314.16 B) $ 314.17 C) $ 314.18 D) $ 314.19 E) $ 314.20 | <gadget id="calculator">3 / 100</gadget>
<output>3/100 = around 0.03</output>
<gadget id="calculator">314.16 + (3/100)</gadget>
<output>314.19</output>
<result>D</result> | D | 314.19 | 9 people decided to split the restaurant bill evenly. If the bill was $314.16 dollars, how much money did they 1 cent is the smallest unit? | {
"A": "$ 314.16",
"B": "$ 314.17",
"C": "$ 314.18",
"D": "$ 314.19",
"E": "$ 314.20"
} | add(314.16, divide(const_3, const_100)) | divide(const_3,const_100)|add(n1,#0) | this is equivalent to finding the first number that is divisible by 9 that occurs after 31416 . in order to divide the sum in 9 parts , the amount must be divisible by 9 divisibility rule of 9 : the sum of the digits must be divisible by 9 sum of digits of 31416 = 15 and 18 is divisible by 9 . hence , we need to add 3 to this number for it to be divisible by 9 correct option : d | general |
math_qa__E8y8hwZV0UJnc2T2 | x ÷ 4 × 5 + 10 – 12 = 48, then x =
Select the correct option
A) 60 B) 40 C) 100 D) 28 E) 50 | <gadget id="calculator">48 - 10</gadget>
<output>38</output>
<gadget id="calculator">38 + 12</gadget>
<output>50</output>
<gadget id="calculator">50 * 4</gadget>
<output>200</output>
<gadget id="calculator">200 / 5</gadget>
<output>40</output>
<result>B</result> | B | 40 | x ÷ 4 × 5 + 10 – 12 = 48, then x = | {
"A": "60",
"B": "40",
"C": "100",
"D": "28",
"E": "50"
} | divide(multiply(add(subtract(48, 10), 12), 4), 5) | subtract(n4,n2)|add(n3,#0)|multiply(n0,#1)|divide(#2,n1) | follow reverse process 48 + 12 = 60 – 10 = 50 ÷ 5 = 10 × × 4 = 40 option b | general |
math_qa__LTst8AS4vTUoxIPa | -84x29+365=? Pick.
A) 2071 B) 2436 C) 2801 D) - 2801 E) - 2071 | <gadget id="calculator">1 - 2</gadget>
<output>-1</output>
<gadget id="calculator">84 * 29</gadget>
<output>2_436</output>
<gadget id="calculator">2_436 - 365</gadget>
<output>2_071</output>
<gadget id="calculator">(-1) * 2_071</gadget>
<output>-2_071</output>
<result>E</result> | E | -2,071 | -84x29+365=? | {
"A": "2071",
"B": "2436",
"C": "2801",
"D": "- 2801",
"E": "- 2071"
} | multiply(subtract(const_1, const_2), subtract(multiply(84, 29), 365)) | multiply(n0,n1)|subtract(const_1,const_2)|subtract(#0,n2)|multiply(#1,#2)| | "e given exp . = - 84 x ( 30 - 1 ) + 365 = - ( 84 x 30 ) + 84 + 365 = - 2520 + 449 = - 2071" | general |
math_qa__aE7xexurJgtof7H2 | 5% of a number is more than 20% of 650 by 190. Find the number? Choose the most appropriate option
A) 288 B) 278 C) 800 D) 267 E) 6400 | <gadget id="calculator">650 * 20</gadget>
<output>13_000</output>
<gadget id="calculator">13_000 / 100</gadget>
<output>130</output>
<gadget id="calculator">130 + 190</gadget>
<output>320</output>
<gadget id="calculator">320 * 100</gadget>
<output>32_000</output>
<gadget id="calculator">32_000 / 5</gadget>
<output>6_400</output>
<result>E</result> | E | 6,400 | 5% of a number is more than 20% of 650 by 190. Find the number? | {
"A": "288",
"B": "278",
"C": "800",
"D": "267",
"E": "6400"
} | divide(multiply(add(divide(multiply(650, 20), const_100), 190), const_100), 5) | multiply(n1,n2)|divide(#0,const_100)|add(n3,#1)|multiply(#2,const_100)|divide(#3,n0)| | "( 5 / 100 ) * x â € “ ( 20 / 100 ) * 650 = 190 1 / 20 x = 320 x = 6400 answer : e" | gain |
math_qa__RYTw7ra0NLpvMKOx | What is the area of square field whose side of length 25 m? Choose the correct choice:
A) 225 sq m
B) 186 sq m
C) 586 sq m
D) 287 sq m
E) 625 sq m | <gadget id="calculator">25 ** 2</gadget>
<output>625</output>
<result>E</result> | E | 625 | What is the area of square field whose side of length 25 m? | {
"A": "225 sq m",
"B": "186 sq m",
"C": "586 sq m",
"D": "287 sq m",
"E": "625 sq m"
} | square_area(25) | square_area(n0)| | "25 * 25 = 625 sq m answer : e" | geometry |
math_qa__bfUvXcjw8TSFCFDG | A boat can travel with a speed of 24 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 168 km downstream Select
A) 3 hours B) 4 hours C) 5 hours D) 6 hours E) 7 hours | <gadget id="calculator">24 + 4</gadget>
<output>28</output>
<gadget id="calculator">168 / 28</gadget>
<output>6</output>
<result>D</result> | D | 6 | A boat can travel with a speed of 24 km/hr in still water. If the speed of the stream is 4 km/hr, find the time taken by the boat to go 168 km downstream | {
"A": "3 hours",
"B": "4 hours",
"C": "5 hours",
"D": "6 hours",
"E": "7 hours"
} | divide(168, add(24, 4)) | add(n0,n1)|divide(n2,#0)| | "explanation : speed of the boat in still water = 24 km / hr speed of the stream = 4 km / hr speed downstream = ( 22 + 5 ) = 28 km / hr distance travelled downstream = 168 km time taken = distance / speed = 168 / 28 = 6 hours answer : option d" | physics |
math_qa__ICJBWncU8wnRZJzj | Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 10x +5 = 0? Choices.
A) 6
B) 42
C) 24
D) 18
E) 95 | <gadget id="calculator">-10</gadget>
<output>-10</output>
<gadget id="calculator">(-10) ** 2</gadget>
<output>100</output>
<gadget id="calculator">100 / 5</gadget>
<output>20</output>
<gadget id="calculator">20 - 2</gadget>
<output>18</output>
<result>D</result> | D | 18 | Find the value of a/b + b/a, if a and b are the roots of the quadratic equation x2 + 10x +5 = 0? | {
"A": "6",
"B": "42",
"C": "24",
"D": "18",
"E": "95"
} | subtract(divide(power(negate(10), const_2), 5), const_2) | negate(n1)|power(#0,const_2)|divide(#1,n2)|subtract(#2,const_2) | a / b + b / a = ( a 2 + b 2 ) / ab = ( a 2 + b 2 + a + b ) / ab = [ ( a + b ) 2 - 2 ab ] / ab a + b = - 10 / 1 = - 10 ab = 5 / 1 = 5 hence a / b + b / a = [ ( - 10 ) 2 - 2 ( 5 ) ] / 5 = 90 / 5 = 18 . d ) | general |
math_qa__F9FQA4QtEnkH5O9D | Jim is able to sell a hand-carved statue for $750 which was a 35% profit over his cost. How much did the statue originally cost him? Choose the correct option
A) $ 496.30 B) $ 512.40 C) $ 555.56 D) $ 574.90 E) $ 588.20 | <gadget id="calculator">35 / 100</gadget>
<output>7/20 = around 0.35</output>
<gadget id="calculator">(7/20) + 1</gadget>
<output>27/20 = around 1.35</output>
<gadget id="calculator">750 / (27/20)</gadget>
<output>5_000/9 = around 555.555556</output>
<result>C</result> | C | 555.56 | Jim is able to sell a hand-carved statue for $750 which was a 35% profit over his cost. How much did the statue originally cost him? | {
"A": "$ 496.30",
"B": "$ 512.40",
"C": "$ 555.56",
"D": "$ 574.90",
"E": "$ 588.20"
} | divide(750, add(divide(35, const_100), const_1)) | divide(n1,const_100)|add(#0,const_1)|divide(n0,#1)| | "750 = 1.35 * x x = 750 / 1.35 = 555.5555556 . . . which rounds to $ 555.56 , which is ( c ) ." | gain |
math_qa__LhZNY39kAhE3yCze | A cistern is normally filled in 10 hrs,but takes 2 hrs longer to fill because of a leak on its bottom,if Cistern is full ,how much time citern would empty? Choose the correct answer
A) 10 hours B) 20 hours C) 60 hours D) 40 hours E) 50 hours | <gadget id="calculator">1 / 10</gadget>
<output>1/10 = around 0.1</output>
<gadget id="calculator">10 + 2</gadget>
<output>12</output>
<gadget id="calculator">1 / 12</gadget>
<output>1/12 = around 0.083333</output>
<gadget id="calculator">(1/10) - (1/12)</gadget>
<output>1/60 = around 0.016667</output>
<gadget id="calculator">1 / (1/60)</gadget>
<output>60</output>
<result>C</result> | C | 60 | A cistern is normally filled in 10 hrs,but takes 2 hrs longer to fill because of a leak on its bottom,if Cistern is full ,how much time citern would empty? | {
"A": "10 hours",
"B": "20 hours",
"C": "60 hours",
"D": "40 hours",
"E": "50 hours"
} | inverse(subtract(divide(const_1, 10), divide(const_1, add(10, 2)))) | add(n0,n1)|divide(const_1,n0)|divide(const_1,#0)|subtract(#1,#2)|inverse(#3)| | "if leakage / hour = 1 / x , then 1 / 10 - 1 / x = 1 / 12 , solving 1 / x = 1 / 60 so in 60 hours full cistern will be empty . answer : c" | physics |
math_qa__9jnszl0nzNA5XQ4i | To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 795 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”? Choose the correct choice: A) 191 B) 199 C) 193 D) 212 E) 213 | <gadget id="calculator">795 / 4</gadget>
<output>795/4 = around 198.75</output>
<result>B</result> | B | 199 | To be considered for “movie of the year,” a film must appear in at least 1/4 of the top-10-movies lists submitted by the Cinematic Academy’s 795 members. What is the smallest number of top-10 lists a film can appear on and still be considered for “movie of the year”? | {
"A": "191",
"B": "199",
"C": "193",
"D": "212",
"E": "213"
} | divide(795, const_4) | divide(n3,const_4) | total movies submitted are 795 . as per question we need to take 1 / 4 of 795 to be considered for top 10 movies = 198.75 approximate the value we 199 . imo option b is the correct answer . . . | general |
math_qa__Qd1WoYrLFPmo0aje | A man can swim in still water at 9 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is? Options:
A) 1.7
B) 1.9
C) 3
D) 1.5
E) 1.2 | <gadget id="calculator">9 / 3</gadget>
<output>3</output>
<result>C</result> | C | 3 | A man can swim in still water at 9 km/h, but takes twice as long to swim upstream than downstream. The speed of the stream is? | {
"A": "1.7",
"B": "1.9",
"C": "3",
"D": "1.5",
"E": "1.2"
} | divide(9, const_3) | divide(n0,const_3)| | "m = 9 s = x ds = 9 + x us = 9 - x 9 + x = ( 9 - x ) 2 9 + x = 18 - 2 x 3 x = 9 x = 3 answer : c" | general |
math_qa__isGy1gt9nQb2zaAl | The distance from the x-axis to point P is half the distance from the y-axis to point P. If the coordinates of P are (x,-6), how many units is P from the y-axis? Options:
A) 3 B) 6 C) 9 D) 10.5 E) 12 | <gadget id="calculator">6 * 2</gadget>
<output>12</output>
<result>E</result> | E | 12 | The distance from the x-axis to point P is half the distance from the y-axis to point P. If the coordinates of P are (x,-6), how many units is P from the y-axis? | {
"A": "3",
"B": "6",
"C": "9",
"D": "10.5",
"E": "12"
} | multiply(6, const_2) | multiply(n0,const_2)| | "the x - axis is 6 units from the point p . thus the y - axis is 12 units from the point p . the answer is e ." | general |
math_qa__79GEhxyEKpZZW9mW | Milk contains 5% water.What quantity of pure milk should be added to 10 litres of milk to reduce this to 2% ?
Choose the correct choice from the following answers: A) 5 litres B) 7 litres C) 15 litres D) can not be determined E) none of these | <gadget id="calculator">5 / 100</gadget>
<output>1/20 = around 0.05</output>
<gadget id="calculator">(1/20) * 10</gadget>
<output>1/2 = around 0.5</output>
<gadget id="calculator">2 / 100</gadget>
<output>1/50 = around 0.02</output>
<gadget id="calculator">(1/2) / (1/50)</gadget>
<output>25</output>
<gadget id="calculator">25 - 10</gadget>
<output>15</output>
<result>C</result> | C | 15 | Milk contains 5% water.What quantity of pure milk should be added to 10 litres of milk to reduce this to 2% ? | {
"A": "5 litres",
"B": "7 litres",
"C": "15 litres",
"D": "can not be determined",
"E": "none of these"
} | subtract(divide(multiply(divide(5, const_100), 10), divide(2, const_100)), 10) | divide(n0,const_100)|divide(n2,const_100)|multiply(n1,#0)|divide(#2,#1)|subtract(#3,n1)| | "here required quantity of pure milk = 10 × ( 5 − 2 ) / 2 = 10 × 3 / 2 = 15 litres . answer c" | gain |
math_qa__nU1AjKVXttfU6lID | 40 percent of the members of a study group are women, and 20 percent of those women are lawyers. If one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer? Pick
A) 0.2 B) 0.08 C) 0.16 D) 0.14 E) 0.15 | <gadget id="calculator">5 * 5</gadget>
<output>25</output>
<gadget id="calculator">25 * 4</gadget>
<output>100</output>
<gadget id="calculator">40 / 100</gadget>
<output>2/5 = around 0.4</output>
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>
<gadget id="calculator">(2/5) * (1/5)</gadget>
<output>2/25 = around 0.08</output>
<result>B</result> | B | 0.08 | 40 percent of the members of a study group are women, and 20 percent of those women are lawyers. If one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer? | {
"A": "0.2",
"B": "0.08",
"C": "0.16",
"D": "0.14",
"E": "0.15"
} | multiply(divide(40, multiply(multiply(const_5, const_5), const_4)), divide(20, multiply(multiply(const_5, const_5), const_4))) | multiply(const_5,const_5)|multiply(#0,const_4)|divide(n0,#1)|divide(n1,#1)|multiply(#2,#3)| | "say there are 100 people in that group , then there would be 0.4 * 0.20 * 100 = 8 women lawyers , which means that the probability that the member selected is a woman lawyer is favorable / total = 8 / 100 . answer : b" | gain |
math_qa__aPqA1PFrVOzn5qcE | Two goods trains each 750 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? Choose one
A) 72 B) 45 C) 48 D) 51 E) 44 | <gadget id="calculator">45 + 30</gadget>
<output>75</output>
<result>A</result> | A | 72 | Two goods trains each 750 m long are running in opposite directions on parallel tracks. Their speeds are 45 km/hr and 30 km/hr respectively. Find the time taken by the slower train to pass the driver of the faster one? | {
"A": "72",
"B": "45",
"C": "48",
"D": "51",
"E": "44"
} | add(45, 30) | add(n1,n2)| | "relative speed = 45 + 30 = 75 km / hr . 75 * 5 / 18 = 125 / 6 m / sec . distance covered = 750 + 750 = 1500 m . required time = 1500 * 6 / 125 = 72 sec . answer : option a" | physics |
math_qa__h9xuWibhRnJ6xjcK | The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is: Pick one
A) rs . 608 B) rs . 6076 C) rs . 600 D) rs . 602 E) rs . 601 | <gadget id="calculator">24 * 100</gadget>
<output>2_400</output>
<gadget id="calculator">2 * 10</gadget>
<output>20</output>
<gadget id="calculator">2_400 / 20</gadget>
<output>120</output>
<gadget id="calculator">100 * 120</gadget>
<output>12_000</output>
<gadget id="calculator">12_000 / 20</gadget>
<output>600</output>
<result>C</result> | C | 600 | The banker's gain of a certain sum due 2 years hence at 10% per annum is Rs. 24. The present worth is: | {
"A": "rs . 608",
"B": "rs . 6076",
"C": "rs . 600",
"D": "rs . 602",
"E": "rs . 601"
} | divide(multiply(const_100, divide(multiply(24, const_100), multiply(2, 10))), multiply(2, 10)) | multiply(n2,const_100)|multiply(n0,n1)|divide(#0,#1)|multiply(#2,const_100)|divide(#3,#1)| | "t . d . = b . g . x 100 = rs . 24 x 100 = rs . 120 . rate x time 10 x 2 p . w . = 100 x t . d . = rs . 100 x 120 = rs . 600 . rate x time 10 x 2 answer : c" | gain |
math_qa__xg915sodoUAYR2aD | A rectangular plot measuring 90 metres by 60 metres is to be enclosed by wire fencing. If the poles of the fence are kept 5 metres apart, how many poles will be needed ? Select the correct option.
A) 55 B) 56 C) 60 D) 58 E) none of these | <gadget id="calculator">2 * (90 + 60)</gadget>
<output>300</output>
<gadget id="calculator">300 / 5</gadget>
<output>60</output>
<result>C</result> | C | 60 | A rectangular plot measuring 90 metres by 60 metres is to be enclosed by wire fencing. If the poles of the fence are kept 5 metres apart, how many poles will be needed ? | {
"A": "55",
"B": "56",
"C": "60",
"D": "58",
"E": "none of these"
} | divide(rectangle_perimeter(90, 60), 5) | rectangle_perimeter(n0,n1)|divide(#0,n2)| | "solution perimeter of the plot = 2 ( 90 + 60 ) = 300 m . ∴ number of poles = [ 300 / 5 ] = 60 m answer c" | physics |
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