Problem stringclasses 1 value | Rationale stringlengths 1 2.74k | options stringlengths 37 137 | correct stringclasses 5 values | annotated_formula stringlengths 6 848 | linear_formula stringlengths 7 357 | category stringclasses 6 values |
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What is the correct answer among five choices? | "relative speed = ( 126 - 54 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in 27 sec = 14 * 20 = 280 m . the length of the faster train = 280 m . answer : a" | a ) 280 , b ) 290 , c ) 300 , d ) 310 , e ) 320 | a | multiply(divide(subtract(126, 54), const_3_6), 14) | subtract(n0,n1)|divide(#0,const_3_6)|multiply(n2,#1)| | physics |
What is the correct answer among five choices? | "there are several algebraic ways to solve this question , but the easiest way is as follows : since we can not have two correct answers just pick a prime greater than 17 , square it and see what would be the remainder upon division of it by 12 . n = 19 - - > n ^ 2 = 361 - - > remainder upon division 361 by 12 is 1 . answer : b ." | a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 5 | b | subtract(power(add(17, 2), 2), multiply(12, const_4)) | add(n0,n1)|multiply(n2,const_4)|power(#0,n1)|subtract(#2,#1)| | general |
What is the correct answer among five choices? | "( 17 ^ 200 - 1 ^ 200 ) is completely divisible by ( 17 + 1 ) as 200 is even . = > ( 17 ^ 200 - 1 ) is completely divisible by 18 . hence , when 17 ^ 200 is divided by 18 , we will get 1 as remainder . answer is b" | a ) 3 , b ) 1 , c ) 2 , d ) 4 , e ) 7 | b | subtract(divide(18, const_2), multiply(17, 17)) | divide(n2,const_2)|multiply(n0,n0)|subtract(#0,#1)| | general |
What is the correct answer among five choices? | "the area of each half is 100 + 4 ( 450 ) + 100 = 2000 the area that is not painted is 100 . the fraction that is not painted is 100 / 2000 = 1 / 20 = 5 % the answer is a ." | a ) 5 % , b ) 10 % , c ) 15 % , d ) 20 % , e ) 25 % | a | multiply(divide(const_100, add(add(multiply(multiply(const_4, const_100), const_4), const_100), const_100)), const_100) | multiply(const_100,const_4)|multiply(#0,const_4)|add(#1,const_100)|add(#2,const_100)|divide(const_100,#3)|multiply(#4,const_100)| | geometry |
What is the correct answer among five choices? | "( 6 * 75 ) + 47 + x > 500 450 + 47 + x > 500 497 + x > 500 = > x > 3 option d" | a ) 5 , b ) 4 , c ) 7 , d ) 3 , e ) 8 | d | subtract(500, add(multiply(6, 75), 47)) | multiply(n0,n1)|add(n2,#0)|subtract(n4,#1)| | general |
What is the correct answer among five choices? | ( 2 ^ 5 ) x ( 6 ) x ( 7 ^ 3 ) has one appearance of 3 ( in the 6 ) and no appearances of 5 . thus n must include at least 3 ^ 2 * 5 ^ 2 = 9 * 25 = 225 the answer is e . | a ) 75 , b ) 125 , c ) 145 , d ) 175 , e ) 225 | e | add(add(add(add(add(multiply(multiply(5, 7), 2), multiply(multiply(5, 7), 2)), multiply(multiply(5, 7), 2)), 7), const_4), const_4) | multiply(n0,n7)|multiply(n1,#0)|add(#1,#1)|add(#2,#1)|add(n7,#3)|add(#4,const_4)|add(#5,const_4) | other |
What is the correct answer among five choices? | "b + c 1 day work = 1 / 9 + 1 / 12 = 7 / 36 work done by b and c in 3 days = 7 / 36 * 3 = 7 / 12 remaining work = 1 - 7 / 12 = 5 / 12 1 / 36 work is done by a in 1 day 5 / 12 work is done by a in 36 * 5 / 12 = 15 days answer is a" | a ) 15 days , b ) 12 days , c ) 6 days , d ) 7 days , e ) 8 days | a | multiply(divide(const_1, add(divide(const_1, 9), divide(const_1, 2))), 3) | divide(const_1,n1)|divide(const_1,n2)|add(#0,#1)|divide(const_1,#2)|multiply(n3,#3)| | physics |
What is the correct answer among five choices? | "assuming the car starts at the first pole . to reach the 12 th pole , the car need to travel 11 poles ( the first pole does n ' t count , as the car is already there ) . 11 poles 26 seconds 1 pole ( 26 / 11 ) seconds to reach the last ( 20 th ) pole , the car needs to travel 19 poles . 19 pole 19 x ( 26 / 11 ) seconds = 44.9091 seconds answer : b" | a ) 44.4543 , b ) 44.9091 , c ) 44.95128 , d ) 44.91288 , e ) 44.91222 | b | multiply(divide(26, 12), 20) | divide(n1,n2)|multiply(n0,#0)| | physics |
What is the correct answer among five choices? | "p = ( 2 / 5 ) * p + 21 ( 3 / 5 ) * p = 21 p = 35 the answer is a ." | a ) $ 35 , b ) $ 36 , c ) $ 37 , d ) $ 38 , e ) $ 39 | a | divide(21, subtract(1, multiply(divide(1, 5), const_2))) | divide(n1,n2)|multiply(#0,const_2)|subtract(n1,#1)|divide(n0,#2)| | general |
What is the correct answer among five choices? | "the number of chocolate bars is equal to 18 ? 25 = 450 correct answer c" | a ) 350 , b ) 250 , c ) 450 , d ) 550 , e ) 650 | c | multiply(18, 25) | multiply(n0,n1)| | general |
What is the correct answer among five choices? | "say morks income is - 100 so tax paid will be 40 say mindys income is 5 * 100 = 500 so tax paid is 30 % * 500 = 150 total tax paid = 40 + 150 = 190 . combined tax % will be 190 / 100 + 500 = 31.67 %" | a ) 32.5 % , b ) 34 % , c ) 35 % , d ) 31.67 % , e ) 37.5 % | d | multiply(const_100, divide(add(divide(40, const_100), multiply(5, divide(30, const_100))), add(const_1, 5))) | add(n2,const_1)|divide(n0,const_100)|divide(n1,const_100)|multiply(n2,#2)|add(#1,#3)|divide(#4,#0)|multiply(#5,const_100)| | gain |
What is the correct answer among five choices? | "solution : p ( a ∪ b ) = p ( a ) + p ( b ) - p ( a ∩ b ' ) = > 0.8 = 0.4 - p ( a ∩ b ) = > p ( a ∩ b ) = 0.2 p ( a ∩ b ' ) = p ( a ) - p ( a ∩ b ) = 0.4 - 0.2 = 0.2 answer b" | a ) 0.1 , b ) 0.2 , c ) 0.3 , d ) 0.4 , e ) none | b | multiply(multiply(0.4, 0.8), const_10) | multiply(n0,n2)|multiply(#0,const_10)| | general |
What is the correct answer among five choices? | "ratio of investments of a and b is ( 70000 * 12 ) : ( 120000 * 6 ) = 7 : 6 total profit = rs . 26000 share of b = 6 / 13 ( 26000 ) = rs . 12000 answer : b" | a ) s . 12028 , b ) s . 12000 , c ) s . 12003 , d ) s . 12029 , e ) s . 24029 | b | subtract(26000, multiply(const_60, const_100)) | multiply(const_100,const_60)|subtract(n3,#0)| | gain |
What is the correct answer among five choices? | "sol . on dividing 3105 by 21 , we get 18 as remainder . number to be added to 3105 = ( 21 - 18 ) - 3 . hence , required number = 3105 + 3 = 3108 . option b" | a ) 1208 , b ) 3108 , c ) 241 , d ) 217 , e ) 3147 | b | add(3105, subtract(21, reminder(3105, 21))) | reminder(n0,n1)|subtract(n1,#0)|add(n0,#1)| | general |
What is the correct answer among five choices? | "980 x 436 + 980 x 764 = 986 x ( 436 + 664 ) = 986 x 1200 = 117600 . answer is a ." | a ) 1176000 , b ) 968000 , c ) 978000 , d ) 117000 , e ) none of them | a | subtract(980, multiply(multiply(436, 980), 764)) | multiply(n1,n2)|multiply(n3,#0)|subtract(n0,#1)| | general |
What is the correct answer among five choices? | you have 40 multiples of 5 , 8 of 25 and 1 of 125 . this will give 49 zeros . c | a ) 40 , b ) 48 , c ) 49 , d ) 55 , e ) 64 | c | add(divide(200, add(const_4, const_1)), divide(200, multiply(add(const_4, const_1), add(const_4, const_1)))) | add(const_1,const_4)|divide(n0,#0)|multiply(#0,#0)|divide(n0,#2)|add(#1,#3)| | other |
What is the correct answer among five choices? | distance covered in ( 9 × 1000 ) / ( 3600 ) × 12 = 30 m diagonal of squarre field = 30 m . area of square field = 30 ( power ) 2 / 2 = 900 / 2 = 450 sq . m answer is c . | ['a ) 430 sq . m', 'b ) 425 sq . m', 'c ) 450 sq . m', 'd ) 475 sq . m', 'e ) 350 sq . m'] | c | divide(multiply(multiply(12, divide(multiply(9, const_1000), multiply(const_360, const_10))), multiply(12, divide(multiply(9, const_1000), multiply(const_360, const_10)))), const_2) | multiply(n0,const_1000)|multiply(const_10,const_360)|divide(#0,#1)|multiply(n1,#2)|multiply(#3,#3)|divide(#4,const_2) | geometry |
What is the correct answer among five choices? | "p ( x is prime ) = 1 / 3 p ( y is prime ) = 1 / 4 if y is prime , then z is not prime since y and z are unique . then the probability is 1 / 3 * 1 / 4 = 1 / 12 the answer is d ." | a ) 1 / 5 , b ) 3 / 20 , c ) 2 / 15 , d ) 1 / 12 , e ) 1 / 10 | d | multiply(divide(const_1, const_2), divide(const_1, const_4)) | divide(const_1,const_2)|divide(const_1,const_4)|multiply(#0,#1)| | probability |
What is the correct answer among five choices? | "27 , 36 , 45 , . . . , 90,99 this is an equally spaced list ; you can use the formula : n = ( largest - smallest ) / ( ' space ' ) + 1 = ( 99 - 27 ) / ( 9 ) + 1 = 8 + 1 = 9 answer is e" | a ) 5 , b ) 15 , c ) 12 , d ) 7 , e ) 9 | e | add(divide(subtract(100, 20), 9), const_1) | subtract(n1,n0)|divide(#0,n2)|add(#1,const_1)| | general |
What is the correct answer among five choices? | "explanation : area of a triangle = r * s where r is the inradius and s is the semi perimeter of the triangle . area of triangle = 2.5 * 40 / 2 = 50 cm 2 answer : option c" | a ) a ) 72 , b ) b ) 828 , c ) c ) 50 , d ) d ) 34 , e ) e ) 35 | c | triangle_area(2.5, 40) | triangle_area(n0,n1)| | geometry |
What is the correct answer among five choices? | answer let original price = rs . 100 . then , new price = rs . 90 . ∴ increased on rs . 90 = rs . 10 required increase % = ( 10 x 100 ) / 90 % = 111 / 9 % correct option : c | a ) 10 % , b ) 9 1 / 11 , c ) 11 1 / 9 , d ) 11 % , e ) none of these | c | add(subtract(const_100, subtract(const_100, 10)), const_2) | subtract(const_100,n0)|subtract(const_100,#0)|add(#1,const_2) | gain |
What is the correct answer among five choices? | p ( a or b ) = p ( a ) + p ( b ) - p ( a n b ) 0.4 = 0.6 + p ( a ) - 0.25 p ( a ) = 0.05 ans : a | a ) 0.05 , b ) 0.15 , c ) 0.45 , d ) 0.5 , e ) 0.55 | a | subtract(add(0.25, 0.4), 0.6) | add(n1,n2)|subtract(#0,n0) | other |
What is the correct answer among five choices? | since 2 xy prime e factors are x ^ 1 * y ^ 1 * 2 ^ 1 , its total number or factors must be ( 1 + 1 ) ( 1 + 1 ) ( 1 + 1 ) = 2 ^ 3 = 8 . thus , i think d would be the correct answer . | a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12 | d | multiply(multiply(2, add(const_1, const_1)), add(const_1, const_1)) | add(const_1,const_1)|multiply(n0,#0)|multiply(#0,#1)| | other |
What is the correct answer among five choices? | two ways . . . 1 ) total ways = 10 c 3 = 10 ! / 7 ! 3 ! = 120 . . ways without python developer = 6 c 3 = 6 ! / 3 ! 3 ! = 20 . . ways of at least one python developer = 120 - 20 = 100 . . 2 ) ways of selecting only one = 4 * 6 c 2 = 4 * 15 = 60 . . ways of selecting only two = 4 c 2 * 6 c 1 = 6 * 6 = 36 . . ways of selecting all three = 4 c 3 = 4 = 4 . . total = 60 + 36 + 4 = 100 . . . answer : a | a ) 100 , b ) 40 , c ) 66 , d ) 80 , e ) 75 | a | subtract(divide(factorial(10), multiply(factorial(subtract(10, 3)), factorial(3))), divide(factorial(subtract(10, 4)), multiply(factorial(3), factorial(3)))) | factorial(n0)|factorial(n2)|subtract(n0,n2)|subtract(n0,n1)|factorial(#2)|factorial(#3)|multiply(#1,#1)|divide(#5,#6)|multiply(#4,#1)|divide(#0,#8)|subtract(#9,#7) | other |
What is the correct answer among five choices? | "his percentage gain is 100 * 80 / 920 as he is gaining 80 units for his purchase of 920 units . so 8.69 % . answer : e" | a ) 5.26 % , b ) 5.36 % , c ) 4.26 % , d ) 6.26 % , e ) 8.69 % | e | multiply(subtract(inverse(divide(920, multiply(multiply(add(const_4, const_1), const_2), const_100))), const_1), const_100) | add(const_1,const_4)|multiply(#0,const_2)|multiply(#1,const_100)|divide(n0,#2)|inverse(#3)|subtract(#4,const_1)|multiply(#5,const_100)| | gain |
What is the correct answer among five choices? | "explanation : while calculation in terms of percentage we need to multiply by 100 , so 5.40 * 100 = 540 answer : option d" | a ) 5.04 % , b ) 50.4 % , c ) 209 % , d ) 540 % , e ) none of these | d | multiply(5.40, const_100) | multiply(n0,const_100)| | general |
What is the correct answer among five choices? | "for retail price = $ 25 first maximum discounted price = 25 - 30 % of 25 = 25 - 7.5 = 17.5 price after additional discount of 20 % = 17.5 - 20 % of 17.5 = 17.5 - 3.5 = 14 answer : option a" | a ) $ 14.00 , b ) $ 11.20 , c ) $ 14.40 , d ) $ 16.00 , e ) $ 18.00 | a | multiply(divide(subtract(const_100, 20), const_100), multiply(divide(subtract(const_100, 30), const_100), 25.00)) | subtract(const_100,n2)|subtract(const_100,n1)|divide(#0,const_100)|divide(#1,const_100)|multiply(n3,#3)|multiply(#2,#4)| | gain |
What is the correct answer among five choices? | lets take a number 20 20 / 5 = 4 20 * 5 = 100 diff = 100 - 4 = 96 % answer : a | a ) 96 % , b ) 95 % , c ) 2400 % , d ) 200 % , e ) 400 % | a | multiply(subtract(multiply(5, 5), const_1), divide(const_100, multiply(5, 5))) | multiply(n0,n0)|divide(const_100,#0)|subtract(#0,const_1)|multiply(#1,#2) | general |
What is the correct answer among five choices? | explanation : let the fourth term be x . thus 56 , 16 , 49 , x are in proportion . product of extreme terms = 56 x product of mean terms = 16 x 49 since , the numbers make up a proportion therefore , 56 x = 16 49 or , x = ( 16 49 ) / 56 or , x = 14 therefore , the fourth term of the proportion is 14 . answer : b | a ) 10 , b ) 14 , c ) 40 , d ) 50 , e ) 60 | b | divide(multiply(49, 16), 56) | multiply(n1,n2)|divide(#0,n0) | physics |
What is the correct answer among five choices? | "assume the price = 100 price during sale = 90 price after sale = 100 percent increase = 10 / 90 * 100 = 11 % approx . correct option : c" | a ) 9 % , b ) 10 % , c ) 11 % , d ) 15 % , e ) 90 % | c | divide(multiply(10, const_100), subtract(const_100, 10)) | multiply(n0,const_100)|subtract(const_100,n0)|divide(#0,#1)| | gain |
What is the correct answer among five choices? | "explanation : total hours worked = 8 x 3 + 6 x 2 = 36 total earned = 324 . hourly wage = 324 / 36 = 9 answer : c ) 9" | a ) 2 , b ) 8 , c ) 9 , d ) 1 , e ) 2 | c | divide(324, add(multiply(8, const_3), multiply(6, const_2))) | multiply(n0,const_3)|multiply(n1,const_2)|add(#0,#1)|divide(n2,#2)| | physics |
What is the correct answer among five choices? | solution : both fractions should be reduced before performing arithmetic operations . we get 3 * 27 / 31 + 3.27 / 3.31 = 3 * 27 / 31 + 27 / 31 = 4 * 27 / 31 = 151 / 31 answer d | a ) 0 , b ) 156 / 31 , c ) 123 / 31 , d ) 151 / 31 , e ) none | d | divide(add(subtract(add(81, multiply(27, 3)), subtract(93, 81)), const_1), 31) | multiply(n0,n1)|subtract(n4,n3)|add(n3,#0)|subtract(#2,#1)|add(#3,const_1)|divide(#4,n2) | general |
What is the correct answer among five choices? | "1 . we are given the following percentages : 30 ( 70 ) , 40 ( 60 ) , 25 ( 75 ) . there are two threads from here . first starts at 30 % and finishes there . second one starts at 70 , then 40 , and then 25 . we need a value that is divisible by 7 , 2 , and 5 at least once . lets pick a number now , say 700 . so say if non hawks are 700 ( this is 70 % of the total , so total = 1000 ) , then paddy warbs are 2 / 5 x 700 = 1400 / 5 = 280 . kingfishers , therefore , are 280 / 4 = 70 . lets add them up . 300 hawks + 280 peddy warbs + 70 kingsifhers = 650 . so all others are 1000 - 650 = 350 or 35 % of total birds . the main job here to to identify the smart number to start the question with . this can be time consuming , but once identified , this question can be solved fairly quickly . 2 . another method : if x is total - - > non hawks = 0.7 x - - > warbs = 0.4 ( 0.7 x ) - - > kfs = 0.25 ( 0.4 ( 0.7 x ) ) . our job is to find out e : ( 0.3 x + 0.28 x + 0.07 x ) / x . or 0.65 x / x = 0.65 . we need to find 1 - 0.65 = 0.35 or 35 % . b" | a ) 25 % , b ) 35 % , c ) 45 % , d ) 70 % , e ) 80 % | b | add(const_10, divide(add(25, 25), const_2)) | add(n2,n2)|divide(#0,const_2)|add(#1,const_10)| | general |
What is the correct answer among five choices? | or u can just use the answer choices here . since the answers are already arranged in ascending order , the first number which gives remainder t as 1 for all three is the correct answer . in the given question , the first number which gives a remainder of 1 for 6,8 and 10 is 121 . c | a ) 21 , b ) 41 , c ) t = 121 , d ) 241 , e ) 481 | c | add(lcm(lcm(6, 8), 10), 1) | lcm(n2,n3)|lcm(n4,#0)|add(n0,#1) | general |
What is the correct answer among five choices? | "e 250 e = 72 * 5 / 18 = 20 = 400 â € “ 150 = 250" | a ) 443 m , b ) 354 m , c ) 450 m , d ) 350 m , e ) 250 m | e | subtract(multiply(20, multiply(72, const_0_2778)), 150) | multiply(n1,const_0_2778)|multiply(n2,#0)|subtract(#1,n0)| | physics |
What is the correct answer among five choices? | e their ages were respectively 58 and 28 | a ) 60 and 23 , b ) 66 and 25 , c ) 29 and 56 , d ) 71 and 43 , e ) 58 and 28 | e | divide(divide(multiply(1624, 30), const_4), const_2) | multiply(n0,n1)|divide(#0,const_4)|divide(#1,const_2) | general |
What is the correct answer among five choices? | lcm = 72 72 - 1 = 71 answer : a | a ) 71 , b ) 70 , c ) 72 , d ) 73 , e ) 36 | a | subtract(lcm(24, 36), 1) | lcm(n3,n4)|subtract(#0,n0) | general |
What is the correct answer among five choices? | "cp = 135 * 15 = 2025 and sp = 115 * 18 = 2070 gain % = 100 * ( 2070 - 2025 ) / 2025 = 20 / 9 answer : c" | a ) 40 , b ) 30 / 11 , c ) 20 / 9 , d ) 27 / 11 , e ) 29 / 8 | c | multiply(divide(subtract(multiply(115, 18), multiply(135, 15)), multiply(135, 15)), const_100) | multiply(n2,n3)|multiply(n0,n1)|subtract(#0,#1)|divide(#2,#1)|multiply(#3,const_100)| | gain |
What is the correct answer among five choices? | "let initial price be 100 price in day 1 after 3 % discount = 97 price in day 2 after 3 % discount = 94.09 price in day 3 after 10 % discount = 84.68 so , price in day 3 as percentage of the sale price on day 1 will be = 84.68 / 97 * 100 = > 87.3 % answer will definitely be ( c )" | a ) 85.1 % , b ) 86.9 % , c ) 87.3 % , d ) 88.8 % , e ) 89.5 % | c | add(multiply(divide(divide(10, const_100), subtract(1, divide(1, 3))), const_100), 2) | divide(n5,const_100)|divide(n1,n0)|subtract(n1,#1)|divide(#0,#2)|multiply(#3,const_100)|add(n2,#4)| | gain |
What is the correct answer among five choices? | "number of pens = 1200 number of pencils = 820 required number of students = h . c . f . of 1200 and 820 = 20 answer is b" | a ) 40 , b ) 20 , c ) 60 , d ) 80 , e ) 65 | b | gcd(1200, 820) | gcd(n0,n1)| | general |
What is the correct answer among five choices? | this is a rather straight forward ratio problem . 1 . 80 fish tagged 2 . 2 out of the 50 fish caught were tagged thus 2 / 50 2 / 50 = 80 / x thus , x = 2000 think of the analogy : 2 fish is to 50 fish as 50 fish is to . . . ? you ' ve tagged 50 fish and you need to find what that comprises as a percentage of the total fish population - we have that information with the ratio of the second catch . d | a ) 400 , b ) 625 , c ) 1,250 , d ) 2,000 , e ) 10,000 | d | divide(80, divide(2, 50)) | divide(n2,n1)|divide(n0,#0) | gain |
What is the correct answer among five choices? | "r is the set of positive odd integers less than 100 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ? r = 1,3 , 5,7 , 9,11 , 13,15 . . . s = 1 , 9,25 , 49,81 . . . numbers : 1 , 9 , 25 , 49 , and 81 are odd integers ( less than 100 ) that are in both sets . solution : five answer : d" | a ) none , b ) two , c ) four , d ) five , e ) seven | d | subtract(subtract(100, const_4), const_4) | subtract(n0,const_4)|subtract(#0,const_4)| | physics |
What is the correct answer among five choices? | "let the list price be 2 x for min sale price , the first discount given should be 50 % , 2 x becomes x here now , during summer sale additional 20 % off is given ie sale price becomes 0.8 x it is given lise price is $ 80 = > 2 x = 80 = > x = 40 and 0.8 x = 32 so lowest sale price is 32 , which w is 40 % of 80 hence , d is the answer" | a ) 20 , b ) 25 , c ) 30 , d ) 40 , e ) 50 | d | divide(80, const_2) | divide(n3,const_2)| | general |
What is the correct answer among five choices? | "28 * 2 * 0.75 = 20 / 100 * 10 / 100 * 7.5 / 100 * x 28 = 1 / 100 * x = > x = 28000 answer : a" | a ) 28000 , b ) 27908 , c ) 78902 , d ) 25000 , e ) 27991 | a | divide(divide(divide(multiply(multiply(multiply(28, const_100), multiply(2, const_100)), multiply(0.75, const_100)), 20), 10), 7.5) | multiply(n3,const_100)|multiply(n4,const_100)|multiply(n5,const_100)|multiply(#0,#1)|multiply(#3,#2)|divide(#4,n0)|divide(#5,n1)|divide(#6,n2)| | physics |
What is the correct answer among five choices? | "explanation : the difference of two successive amounts must be the simple interest in 1 year on the lower amount of money . s . i = 20286 / - - 17640 / - = rs . 2646 / - rate of interest = ( 2646 / 17640 ) × ( 100 / 1 ) = > 15 % answer : option d" | a ) 5 % , b ) 7 % , c ) 9 % , d ) 15 % , e ) 12 % | d | multiply(divide(subtract(20286, 17640), 17640), const_100) | subtract(n2,n0)|divide(#0,n0)|multiply(#1,const_100)| | general |
What is the correct answer among five choices? | let the rate be x , then population of the bacteria after each hour can be given as 600,600 x , 600 ( x ^ 2 ) , 600 ( x ^ 3 ) now population at 4 pm = 4800 thus we have 600 ( x ^ 3 ) = 4800 = 8 thus x = 2 therefore population at 3 pm = 600 ( 4 ) = 2400 answer : a | a ) 2400 , b ) 3600 , c ) 3000 , d ) 2800 , e ) 2500 | a | multiply(multiply(power(divide(multiply(multiply(2, 4), 600), 600), const_0_33), 600), power(divide(multiply(multiply(2, 4), 600), 600), const_0_33)) | multiply(n2,n4)|multiply(n1,#0)|divide(#1,n1)|power(#2,const_0_33)|multiply(n1,#3)|multiply(#4,#3) | physics |
What is the correct answer among five choices? | solution 5 years ago average age of a , b , c , d = 45 years = > 5 years ago total age of a , b , c , d = 45 x 4 = 180 years = > total present age of a , b , c , d = 180 + 5 x 4 = 200 years if e ' s present age is x years = 200 + x / 5 = 50 x = 50 years . answer a | a ) 50 , b ) 47 , c ) 48 , d ) 49 , e ) 46 | a | subtract(multiply(50, 5), add(multiply(45, multiply(const_2, const_2)), multiply(5, const_4))) | multiply(n0,n3)|multiply(const_2,const_2)|multiply(n0,const_4)|multiply(n1,#1)|add(#3,#2)|subtract(#0,#4) | general |
What is the correct answer among five choices? | "average price per book = ( 1180 + 860 ) / ( 65 + 55 ) = 2040 / 120 = $ 17 the answer is c ." | a ) $ 13 , b ) $ 15 , c ) $ 17 , d ) $ 19 , e ) $ 21 | c | divide(add(1180, 860), add(65, 55)) | add(n1,n3)|add(n0,n2)|divide(#0,#1)| | general |
What is the correct answer among five choices? | "total no of rocks = 45 probability of choosing 1 st slate rock = 15 / 45 probability of choosing 2 nd slate rock = 14 / 44 ( without replacement ) so combined probability = 15 / 45 * 14 / 44 = 7 / 66 so , answer d ." | a ) 1 / 3 , b ) 7 / 22 , c ) 1 / 9 , d ) 7 / 66 , e ) 2 / 45 | d | multiply(divide(15, add(add(15, 20), 10)), divide(subtract(15, const_1), subtract(add(add(15, 20), 10), const_1))) | add(n0,n1)|subtract(n0,const_1)|add(n2,#0)|divide(n0,#2)|subtract(#2,const_1)|divide(#1,#4)|multiply(#3,#5)| | other |
What is the correct answer among five choices? | "net part filled in 1 hour 1 / 4 - 1 / 9 = 5 / 36 the cistern will be filled in 36 / 5 hr = 7.2 hr answer is d" | a ) 6 hr , b ) 5.6 hr , c ) 9.5 hr , d ) 7.2 hr , e ) 4 hr | d | divide(const_1, subtract(divide(const_1, 4), divide(const_1, 9))) | divide(const_1,n0)|divide(const_1,n1)|subtract(#0,#1)|divide(const_1,#2)| | physics |
What is the correct answer among five choices? | "answer should be e . v = \ pir ^ 2 h = \ pi * 20 ^ 2 * 7 = approximately 9000" | a ) 700 , b ) 1500 , c ) 3000 , d ) 5000 , e ) 9000 | e | volume_cylinder(divide(40, const_2), 7) | divide(n0,const_2)|volume_cylinder(#0,n1)| | geometry |
What is the correct answer among five choices? | "let assume there are 100 students of which 70 are male and 30 are females if 40 are married then 60 will be single . now its given that two - sevenths of the male students are married that means 2 / 7 of 70 = 20 males are married if 40 is the total number of students who are married and out of that 20 are males then the remaining 20 will be females who are married . total females = 30 married females = 20 then single females = 30 - 20 = 10 we need to find the fraction of female students who are single i . e single female students / total female student = 10 / 30 = 1 / 3 [ e ]" | a ) 2 / 7 , b ) 5 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 1 / 3 | e | divide(const_10, 40) | divide(const_10,n1)| | gain |
What is the correct answer among five choices? | "expanding we have 6 x ^ 2 - 3 x + 4 x - 2 6 x ^ 2 + x - 2 taking coefficients , a = 6 , k = 1 , n = - 2 therefore a - n + k = 6 - ( - 2 ) + 1 = 8 + 1 = 9 the answer is c ." | a ) 5 , b ) 8 , c ) 9 , d ) 10 , e ) 11 | c | add(add(multiply(3, 2), multiply(1, 2)), subtract(multiply(2, 2), multiply(1, 3))) | multiply(n0,n1)|multiply(n1,n3)|multiply(n1,n1)|multiply(n0,n3)|add(#0,#1)|subtract(#2,#3)|add(#4,#5)| | general |
What is the correct answer among five choices? | "60 % of oranges = 600 100 % of oranges = ( 600 × 100 ) / 6 = 1000 total oranges = 1000 answer : c" | a ) 700 , b ) 710 , c ) 1000 , d ) 730 , e ) 740 | c | add(600, multiply(600, divide(40, const_100))) | divide(n0,const_100)|multiply(n1,#0)|add(n1,#1)| | gain |
What is the correct answer among five choices? | "the triangle with sides 196 cm , 81 cm and 277 cm is right angled , where the hypotenuse is 277 cm . area of the triangle = 1 / 2 * 81 * 196 = 7938 cm 2 answer : option e" | a ) 5000 , b ) 5656 , c ) 7878 , d ) 7900 , e ) 7938 | e | divide(multiply(81, 277), const_2) | multiply(n1,n2)|divide(#0,const_2)| | geometry |
What is the correct answer among five choices? | so addition of all term - 10 , 20 , 30 , . . . . . . . 90 so average = ( 10 + 20 + 30 + 40 + 50 + 60 + 70 + 80 + 90 ) / 9 = ( 450 ) / 9 = 50 hence , the correct answer is e . | a ) 90 , b ) 95 , c ) 70 , d ) 85 , e ) 50 | e | subtract(divide(add(add(add(add(10, 2030), 4050), 6070), 8090), add(const_4, const_1)), multiply(multiply(const_100, const_10), const_4)) | add(n0,n1)|add(const_1,const_4)|multiply(const_10,const_100)|add(n2,#0)|multiply(#2,const_4)|add(n3,#3)|add(n4,#5)|divide(#6,#1)|subtract(#7,#4) | general |
What is the correct answer among five choices? | "100 - - - 10 ds = 10 ? - - - - 1 30 - - - - 10 us = 3 ? - - - - 1 s = ? s = ( 10 - 3 ) / 2 = 3.5 answer : b" | a ) 2.5 , b ) 3.5 , c ) 4.5 , d ) 5.3 , e ) 3.4 | b | divide(add(divide(30, 10), divide(100, 10)), const_2) | divide(n1,n2)|divide(n0,n2)|add(#0,#1)|divide(#2,const_2)| | physics |
What is the correct answer among five choices? | "let the breadth of the plot be b m . length of the plot = 3 b m ( 3 b ) ( b ) = 1323 3 b 2 = 1323 b 2 = 441 = 21 ( b > 0 ) b = 21 m . answer : d" | a ) 11 , b ) 17 , c ) 18 , d ) 21 , e ) 1322 | d | sqrt(divide(1323, const_3)) | divide(n0,const_3)|sqrt(#0)| | geometry |
What is the correct answer among five choices? | "let initial volume of ice be = x ice remaining after 1 hour = x - 0.75 x = 0.25 x ice remaining after 2 hour = ( 1 / 4 ) x - ( 3 / 4 * 1 / 4 * x ) = ( 1 / 16 ) x ( 1 / 16 ) x = 0.3 x = 4.8 alternate solution : try to backsolve . initial volume = 4.8 after one hour - - > ( 1 / 4 ) 4.8 = 1.2 after two hours - - > ( 1 / 4 ) 1.2 = 0.3 answer : c" | a ) 2.5 , b ) 3.0 , c ) 4.8 , d ) 6.5 , e ) 8.0 | c | divide(divide(0.3, const_0_25), const_0_25) | divide(n4,const_0_25)|divide(#0,const_0_25)| | physics |
What is the correct answer among five choices? | "area of a triangle = r * s where r is the inradius and s is the semi perimeter of the triangle . area of triangle = 3.5 * 22 / 2 = 38.5 cm 2 answer : e" | a ) 22 , b ) 35 , c ) 77 , d ) 54 , e ) 38 | e | triangle_area(3.5, 22) | triangle_area(n0,n1)| | geometry |
What is the correct answer among five choices? | "index for females = ( 20 - 6 ) / 20 = 7 / 10 = 0.7 index for males = ( 20 - 14 / 20 = 3 / 10 = 0.3 index for females exceeds males by 0.7 - 0.3 = 0.4 answer : a" | a ) 0.4 , b ) 0.0625 , c ) 0.2 , d ) 0.25 , e ) 0.6 | a | subtract(divide(subtract(20, 6), 20), divide(6, 20)) | divide(n1,n0)|subtract(n0,n1)|divide(#1,n0)|subtract(#2,#0)| | general |
What is the correct answer among five choices? | "x ' s 1 day ' s work = 1 / 40 y ' s 1 day ' s work = 1 / 60 ( x + y ) ' s 1 day ' s work = ( 1 / 40 + 1 / 60 ) = 1 / 24 both together will finish the work in 24 days . correct option is c" | a ) 10 , b ) 12 , c ) 24 , d ) 30 , e ) 15 | c | inverse(add(divide(const_1, 40), divide(const_1, 60))) | divide(const_1,n0)|divide(const_1,n1)|add(#0,#1)|inverse(#2)| | physics |
What is the correct answer among five choices? | "let the number be xy . given xy – yx = 36 . this means the number is greater is than the number got on reversing the digits . this shows that the ten ’ s digit x > unit digit y . also given ratio between digits is 1 : 2 = > x = 2 y ( 10 x + y ) – ( 10 y + x ) = 36 = > x – y = 4 = > 2 y – y = 4 . hence , ( x + y ) – ( x – y ) = 3 y – y = 2 y = 8 b" | a ) 6 , b ) 8 , c ) 10 , d ) 14 , e ) 15 | b | multiply(divide(36, subtract(multiply(subtract(const_10, 1), multiply(2, 1)), subtract(const_10, 1))), 2) | multiply(n0,n2)|subtract(const_10,n2)|multiply(#0,#1)|subtract(#2,#1)|divide(n1,#3)|multiply(#4,n0)| | general |
What is the correct answer among five choices? | explanation : solution : let the required number of carpets be x . more weavers , more carpets ( direct proportion ) more days , more carpets ( direct proportion ) weavers 7 : 14 } : : 7 : x days 7 : 14 . ' . 7 * 7 * x = 14 * 14 * 7 < = > x = 14 * 14 * 7 / 7 * 7 = 28 . answer : b | a ) 14 , b ) 28 , c ) 21 , d ) 35 , e ) none of these | b | add(14, add(7, 7)) | add(n0,n0)|add(n3,#0) | gain |
What is the correct answer among five choices? | "sol . speed of stream = 1 / 2 ( 12 - 6 ) kmph = 3 kmph . answer c" | a ) 1 kmph , b ) 4 kmph , c ) 3 kmph , d ) 2 kmph , e ) 1.9 kmph | c | divide(subtract(12, 6), const_2) | subtract(n1,n0)|divide(#0,const_2)| | physics |
What is the correct answer among five choices? | i year best is to give a number to his income , say 100 . . and let saving be x . . so expenditure = 100 - x next year - income = 140 savings = 2 x expenditure = 140 - 2 x . . now 140 - 2 x + 100 - x = 2 ( 100 - x ) . . . 240 - 3 x = 200 - 2 x . . . . . . . . . . . . . . . . x = 40 . . . saving % = 40 / 100 * 100 = 40 % answer : b | a ) 45 % , b ) 40 % , c ) 25 % , d ) 28 % , e ) 33.33 % | b | multiply(divide(subtract(add(add(100, 40), 100), multiply(2, 100)), const_100), const_100) | add(n0,n1)|multiply(n1,n2)|add(n1,#0)|subtract(#2,#1)|divide(#3,const_100)|multiply(#4,const_100) | general |
What is the correct answer among five choices? | "speed = 54 * 5 / 18 = 15 m / sec . length of the train = 15 * 20 = 300 m . let the length of the platform be x m . then , ( x + 300 ) / 40 = 15 = > x = 180 m answer : c" | a ) 615 m , b ) 240 m , c ) 180 m , d ) 197 m , e ) 691 m | c | multiply(20, multiply(54, const_0_2778)) | multiply(n2,const_0_2778)|multiply(n1,#0)| | physics |
What is the correct answer among five choices? | "speed upstream = 8.5 kmph speed downstream = 11.5 kmph total time taken = 105 / 8.5 + 105 / 11.5 = 21.48 hours answer is b" | a ) 20.48 hours , b ) 21.48 hours , c ) 22.48 hours , d ) 23.48 hours , e ) 24.48 hours | b | add(multiply(add(add(10, 1.5), subtract(10, 1.5)), 105), multiply(subtract(add(divide(105, add(10, 1.5)), divide(105, subtract(10, 1.5))), add(add(10, 1.5), subtract(10, 1.5))), const_60)) | add(n0,n1)|subtract(n0,n1)|add(#0,#1)|divide(n2,#0)|divide(n2,#1)|add(#3,#4)|multiply(n2,#2)|subtract(#5,#2)|multiply(#7,const_60)|add(#6,#8)| | physics |
What is the correct answer among five choices? | "let # plain cookies sold be x then # chocolate cookies = ( total cookies - x ) equating for x ( 0.75 ) * x + ( 1.25 ) * ( 1585 - x ) = 1587.75 = > x = 787 e" | a ) 0 , b ) 233 , c ) 500 , d ) 695 , e ) 787 | e | divide(add(const_1000, 587.75), const_2) | add(n4,const_1000)|divide(#0,const_2)| | other |
What is the correct answer among five choices? | "let the smaller number be x . then larger number = ( x + 1365 ) . x + 1365 = 6 x + 10 5 x = 1355 x = 271 large number = 271 + 1365 = 1636 a" | a ) 1636 , b ) 1346 , c ) 1378 , d ) 1635 , e ) 1489 | a | multiply(divide(subtract(1365, 10), subtract(6, const_1)), 6) | subtract(n0,n2)|subtract(n1,const_1)|divide(#0,#1)|multiply(n1,#2)| | general |
What is the correct answer among five choices? | widgets inspected by lauren : ( ( 95 - 5 ) / 5 ) + 1 = 18 + 1 = 19 widgets inspected by steven : ( ( 96 - 4 ) / 4 ) + 1 = 23 + 1 = 24 widgets inspected by both : ( ( 96 / 12 ) + 1 = 9 total : 19 + 24 - 9 = 34 hence , widgets not inspected : 98 - 34 = 64 option d | a ) 66 , b ) 68 , c ) 70 , d ) 64 , e ) 72 | d | subtract(98, subtract(add(floor(divide(98, add(const_4, const_1))), floor(divide(98, const_4))), floor(divide(98, add(const_10, add(const_4, const_1)))))) | add(const_1,const_4)|divide(n0,const_4)|add(#0,const_10)|divide(n0,#0)|floor(#1)|divide(n0,#2)|floor(#3)|add(#6,#4)|floor(#5)|subtract(#7,#8)|subtract(n0,#9) | other |
What is the correct answer among five choices? | "on dividing 3000 by 19 , we get 17 as remainder . number to be added = ( 19 - 17 ) = 2 . answer a 2" | a ) 2 , b ) 1 , c ) 4 , d ) 18 , e ) 17 | a | subtract(multiply(add(multiply(const_4, const_10), const_2), 19), 3000) | multiply(const_10,const_4)|add(#0,const_2)|multiply(n1,#1)|subtract(#2,n0)| | general |
What is the correct answer among five choices? | "p ( a or b ) = p ( a ) + p ( b ) - p ( a n b ) 0.6 = 0.4 + p ( b ) - 0.45 p ( b ) = 0.55 ans : e" | a ) 0.05 , b ) 0.15 , c ) 0.45 , d ) 0.5 , e ) 0.55 | e | subtract(add(0.6, 0.45), 0.4) | add(n1,n2)|subtract(#0,n0)| | other |
What is the correct answer among five choices? | "speed = [ 36 x 5 / 18 ] m / sec = 10 m / sec time = 45 sec let the length of bridge be x metres . then , ( 130 + x ) / 45 = 10 = > 130 + x = 450 = > x = 320 m . answer : a" | a ) 320 m , b ) 225 m , c ) 245 m , d ) 250 m , e ) 240 m | a | subtract(multiply(divide(multiply(36, speed(const_1000, const_1)), speed(const_3600, const_1)), 45), 130) | speed(const_1000,const_1)|speed(const_3600,const_1)|multiply(n1,#0)|divide(#2,#1)|multiply(n2,#3)|subtract(#4,n0)| | physics |
What is the correct answer among five choices? | "total distance travelled in 12 hours = ( 35 + 37 + 39 + . . . upto 12 terms ) . this is an a . p . with first term , a = 35 , number of terms , n = 12 , common difference d = 2 required distance = 12 / 2 ( 2 * 35 + ( 12 - 1 ) * 2 ) = 6 ( 70 + 22 ) = 552 km . correct option : c" | a ) 456 kms , b ) 482 kms , c ) 552 kms , d ) 556 kms , e ) none of these | c | multiply(add(multiply(2, 35), multiply(subtract(12, const_1), 2)), divide(12, 2)) | divide(n2,n0)|multiply(n0,n1)|subtract(n2,const_1)|multiply(n0,#2)|add(#1,#3)|multiply(#4,#0)| | physics |
What is the correct answer among five choices? | "according to order of operations , 24 ? 3 ? 10 ( division and multiplication ) is done first from left to right 24 / 2 = 8 * 10 = 80 hence 11110 + 24 * 3 * 10 = 11110 + 80 = 11190 correct answer c" | a ) 90111 , b ) 52631 , c ) 11190 , d ) 65321 , e ) 11133 | c | subtract(11110, multiply(multiply(24, 3), 10)) | multiply(n1,n2)|multiply(n3,#0)|subtract(n0,#1)| | general |
What is the correct answer among five choices? | "360 . answer d" | a ) 720 , b ) 120 , c ) 300 , d ) 360 , e ) 333 | d | subtract(subtract(subtract(divide(divide(divide(factorial(15), factorial(subtract(15, 3))), factorial(3)), const_2), 15), 15), const_10) | factorial(n0)|factorial(n1)|subtract(n0,n1)|factorial(#2)|divide(#0,#3)|divide(#4,#1)|divide(#5,const_2)|subtract(#6,n0)|subtract(#7,n0)|subtract(#8,const_10)| | physics |
What is the correct answer among five choices? | "explanation : 2356 6532 - - - - - - - - - - - - 4176 answer : b" | a ) 6084 , b ) 4176 , c ) 2077 , d ) 2721 , e ) 1812 | b | subtract(add(add(add(multiply(multiply(6, const_100), const_10), multiply(5, const_100)), multiply(3, const_10)), 2), add(add(add(const_1000, multiply(3, const_100)), multiply(5, const_10)), 6)) | multiply(n0,const_100)|multiply(n3,const_100)|multiply(n1,const_10)|multiply(n1,const_100)|multiply(n3,const_10)|add(#3,const_1000)|multiply(#0,const_10)|add(#6,#1)|add(#5,#4)|add(#7,#2)|add(n0,#8)|add(n2,#9)|subtract(#11,#10)| | general |
What is the correct answer among five choices? | ( 1000 xtx 4 / 100 ) + ( 1400 xtx 5 / 100 ) = 350 â † ’ t = 3.2 answer a | a ) 3.2 , b ) 3.75 , c ) 4 , d ) 4.25 , e ) 4.5 | a | divide(350, add(divide(multiply(4, 1000), const_100), divide(multiply(1400, 5), const_100))) | multiply(n0,n1)|multiply(n2,n3)|divide(#0,const_100)|divide(#1,const_100)|add(#2,#3)|divide(n4,#4)| | gain |
What is the correct answer among five choices? | "n = 4 k + 1 = 5 j + 4 let ' s start at 1 = 4 ( 0 ) + 1 and keep adding 4 until we find a number in the form 5 j + 4 . 1 , 5 , 9 = 5 ( 1 ) + 4 the next such number is 9 + 4 * 5 = 29 . 9 + 29 = 38 the answer is c ." | a ) 30 , b ) 34 , c ) 38 , d ) 42 , e ) 46 | c | add(add(multiply(5, const_2), 4), add(multiply(5, multiply(const_2, 4)), 4)) | multiply(n2,const_2)|multiply(const_2,n3)|add(n3,#0)|multiply(n2,#1)|add(n3,#3)|add(#2,#4)| | general |
What is the correct answer among five choices? | divisor = ( 6 * 3 ) + 7 = 25 5 * quotient = 25 quotient = 5 . dividend = ( divisor * quotient ) + remainder dividend = ( 20 * 5 ) + 6 = 106 . e ) | a ) 74 , b ) 78 , c ) 86 , d ) 92 , e ) 106 | e | add(multiply(add(multiply(6, const_3), 7), divide(add(multiply(6, const_3), 7), 5)), 6) | multiply(n0,const_3)|add(n2,#0)|divide(#1,n1)|multiply(#1,#2)|add(n0,#3) | general |
What is the correct answer among five choices? | "b = 1 / 8 – 1 / 22 = 0.075 days answer : a" | a ) 0.075 days , b ) 0.45 days , c ) 0.55 days , d ) 0.25 days , e ) 0.15 days | a | inverse(subtract(inverse(8), inverse(20))) | inverse(n0)|inverse(n1)|subtract(#0,#1)|inverse(#2)| | physics |
What is the correct answer among five choices? | "gear l - - 20 rotations per 60 seconds - - 2 rotation per 6 seconds . gear r - - 60 rotations per 60 seconds - - 6 rotations per 6 seconds . first 6 seconds - - gear l makes 1 rotation . - - gear r makes 4 rotations - - net difference - - 4 rotations hence every 6 seconds the difference between the number of rotations of r and l gear is 4 units . required net difference should be 8 rotations = > 2 ( 6 seconds later ) = = > 12 seconds . answer : e" | a ) a ) 6 , b ) b ) 8 , c ) c ) 10 , d ) d ) 14 , e ) e ) 12 | e | divide(divide(8, subtract(divide(60, const_60), divide(20, const_60))), const_3) | divide(n1,const_60)|divide(n0,const_60)|subtract(#0,#1)|divide(n2,#2)|divide(#3,const_3)| | physics |
What is the correct answer among five choices? | ( ( 90 θ 33 ) θ 17 ) the remainder of 90 divided by 33 is 24 ; the remainder of 24 divided by 17 is 7 ; ( 97 θ ( 33 θ 17 ) ) the remainder of 33 divided by 17 is 16 ; the remainder of 97 divided by 16 is 1 . 7 - 1 = 6 . answer : d . | a ) 0 , b ) 2 , c ) 4 , d ) 6 , e ) 8 | d | subtract(reminder(reminder(90, 33), 17), reminder(97, reminder(33, 17))) | reminder(n0,n1)|reminder(n1,n2)|reminder(#0,n2)|reminder(n3,#1)|subtract(#2,#3) | general |
What is the correct answer among five choices? | "we get 2 quadratic equations here . . 1 ) x ^ 2 - x - 3 = 0 . . . . . . . roots 2 , - 1 2 ) x ^ 2 + x - 3 = 0 . . . . . . . . roots - 2 , 1 inserting each root in given equation , it can be seen that - 1 and - 2 do not satisfy the equations . so value of x for given equation . . . . x = 3 or x = 1 i guess range is 3 - 1 = 2 c" | a ) 4 , b ) 3 , c ) 2 , d ) 1 , e ) 0 | c | sqrt(3) | sqrt(n1)| | general |
What is the correct answer among five choices? | "given that 1,000 microns = 1 decimeter = 1,000 , 000,000 angstroms so , 1 micron = 1,000 , 000,000 / 1,000 = 1 , 000,000 answer : c" | a ) 1,000 , b ) 100 , c ) 1 , 000,000 , d ) 10 , e ) 10,000 | c | multiply(divide(1, multiply(const_100, const_100)), multiply(const_100, const_100)) | multiply(const_100,const_100)|divide(n1,#0)|multiply(#1,#0)| | general |
What is the correct answer among five choices? | "required difference = [ 3 1 / 2 % of $ 8400 ] – [ 3 1 / 3 % of $ 8400 ] = [ ( 7 / 20 ) - ( 10 / 3 ) ] % of $ 8400 = 1 / 6 % of $ 8400 = $ [ ( 1 / 6 ) * ( 1 / 100 ) * 8400 ] = $ 14 . answer a ." | a ) 14 , b ) 24 , c ) 34 , d ) 12 , e ) 13 | a | divide(multiply(subtract(add(divide(1, 2), 3), add(divide(1, 3), 3)), 8400), const_100) | divide(n1,n2)|divide(n1,n0)|add(n0,#0)|add(n0,#1)|subtract(#2,#3)|multiply(n6,#4)|divide(#5,const_100)| | general |
What is the correct answer among five choices? | "let the numbers be x , x + 1 and x + 2 then , x + ( x + 1 ) + ( x + 2 ) = 63 3 x = 60 x = 20 greatest number , ( x + 2 ) = 22 . answer : d" | a ) 26 , b ) 28 , c ) 29 , d ) 22 , e ) 31 | d | divide(add(63, const_1), const_2) | add(n0,const_1)|divide(#0,const_2)| | physics |
What is the correct answer among five choices? | "p makes x sprockets per hour . then q makes 1.1 x sprockets per hour . 770 / x = 770 / 1.1 x + 10 1.1 ( 770 ) = 770 + 11 x 11 x = 77 x = 7 the answer is c ." | a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 11 | c | divide(subtract(770, divide(770, add(divide(10, const_100), const_1))), 10) | divide(n1,const_100)|add(#0,const_1)|divide(n0,#1)|subtract(n0,#2)|divide(#3,n1)| | gain |
What is the correct answer among five choices? | explanation : 20 cp = 30 sp 30 - - - 10 cp loss 100 - - - ? = > 33.33 % loss answer : c | a ) 63.33 % , b ) 34.33 % , c ) 33.33 % , d ) 31.33 % , e ) 36.33 % | c | multiply(subtract(const_1, divide(20, 30)), const_100) | divide(n0,n1)|subtract(const_1,#0)|multiply(#1,const_100) | gain |
What is the correct answer among five choices? | "solution : given ratio of ram and shayam ' s weight = 3 : 5 hence , ( x - 15 ) / ( 15 - 10 ) = 3 / 5 or , x = 18 % . answer : option a" | a ) 18 % , b ) 10 % , c ) 21 % , d ) 16 % , e ) none | a | add(15, multiply(subtract(15, 10), divide(3, 5))) | divide(n0,n1)|subtract(n4,n2)|multiply(#0,#1)|add(n4,#2)| | gain |
What is the correct answer among five choices? | "percent of defective produced = 7 % percent of the defective units that are shipped for sale = 4 % percent of units produced are defective units that are shipped for sale = ( 4 / 100 ) * ( 7 / 100 ) * 100 % = ( 28 / 10000 ) * 100 % = ( 28 / 100 ) % = . 28 % answer b" | a ) 0.125 % , b ) 0.28 % , c ) 0.8 % , d ) 1.25 % , e ) 2.0 % | b | multiply(7, divide(4, const_100)) | divide(n1,const_100)|multiply(n0,#0)| | gain |
What is the correct answer among five choices? | "solution sum of the ages of 14 students = ( 16 x 35 ) - ( 14 x 21 ) = 560 - 294 . = 266 . ∴ required average = 266 / 7 = 38 years . answer d" | a ) 14 years , b ) 17 years , c ) 19 years , d ) 38 years , e ) none | d | subtract(add(add(multiply(35, 16), 21), 35), multiply(35, 16)) | multiply(n0,n1)|add(n2,#0)|add(n0,#1)|subtract(#2,#0)| | general |
What is the correct answer among five choices? | "original price = 100 cp = 70 s = 70 * ( 180 / 100 ) = 126 100 - 126 = 26 % answer : b" | a ) 18 % , b ) 26 % , c ) 12 % , d ) 32 % , e ) 15 % | b | multiply(subtract(divide(divide(multiply(subtract(const_100, 30), add(const_100, 80)), const_100), const_100), const_1), const_100) | add(n1,const_100)|subtract(const_100,n0)|multiply(#0,#1)|divide(#2,const_100)|divide(#3,const_100)|subtract(#4,const_1)|multiply(#5,const_100)| | gain |
What is the correct answer among five choices? | average speed = 2 * 3 * 2 / 3 + 2 = 12 / 5 km / hr distance traveled = 12 / 5 * 5 = 12 km distance between house and school = 12 / 2 = 6 km answer is b | a ) 5 km , b ) 6 km , c ) 10 km , d ) 12 km , e ) 8 km | b | multiply(divide(5, add(divide(3, 2), const_1)), 3) | divide(n0,n1)|add(#0,const_1)|divide(n2,#1)|multiply(n0,#2) | physics |
What is the correct answer among five choices? | let length of tunnel is x meter distance = 600 + x meter time = 1 minute = 60 seconds speed = 78 km / hr = 78 * 5 / 18 m / s = 65 / 3 m / s distance = speed * time 600 + x = ( 65 / 3 ) * 60 600 + x = 20 * 65 = 1300 x = 1300 - 600 = 700 meters answer : a | a ) 700 , b ) 288 , c ) 500 , d ) 277 , e ) 121 | a | multiply(multiply(subtract(divide(600, multiply(subtract(63, 3), const_0_2778)), const_1), const_10), const_2) | subtract(n2,n1)|multiply(#0,const_0_2778)|divide(n0,#1)|subtract(#2,const_1)|multiply(#3,const_10)|multiply(#4,const_2) | physics |
What is the correct answer among five choices? | a ' s 1 hour work = 1 / 4 ; ( b + c ) ' s 1 hour work = 1 / 3 ; ( a + b ) ' s 1 hour work = 1 / 2 ( a + b + c ) ' s 1 hour work = ( 1 / 4 + 1 / 3 ) = 7 / 12 c ' s 1 hour work = ( 7 / 12 - 1 / 2 ) = 1 / 12 c alone will take 12 hours to do the work . answer : a | a ) 12 hours , b ) 10 hours , c ) 6 hours , d ) 8 hours , e ) 4 hours | a | divide(const_1, subtract(divide(const_1, 3), subtract(divide(const_1, 2), divide(const_1, 4)))) | divide(const_1,n1)|divide(const_1,n2)|divide(const_1,n0)|subtract(#1,#2)|subtract(#0,#3)|divide(const_1,#4) | physics |
What is the correct answer among five choices? | "total = 75 books . 60 % of books that were loaned out are returned - - > 100 % - 60 % = 40 % of books that were loaned out are not returned . now , there are 68 books , thus 75 - 65 = 10 books are not returned . { loaned out } * 0.4 = 10 - - > { loaned out } = 25 . answer : b ." | a ) 20 , b ) 25 , c ) 35 , d ) 40 , e ) 55 | b | divide(subtract(75, 65), subtract(const_1, divide(60, const_100))) | divide(n1,const_100)|subtract(n0,n2)|subtract(const_1,#0)|divide(#1,#2)| | gain |
What is the correct answer among five choices? | "original cost c 1 = t 1 * b 1 ^ 4 new cost c 2 = t 2 * b 2 ^ 4 . . . . only b is doubled so t 2 = t 1 and b 2 = 2 b 1 c 2 = t 2 * ( 2 b 1 ) ^ 4 = 16 ( t 1 * b 1 ^ 4 ) = 16 c 1 16 times c 1 = > 1600 % of c 1 ans d = 1600" | a ) q = 200 , b ) q = 600 , c ) q = 800 , d ) q = 1600 , e ) q = 50 | d | multiply(power(const_2, 4), const_100) | power(const_2,n0)|multiply(#0,const_100)| | general |
What is the correct answer among five choices? | "a = 2 m = m + 12 m = 12 a = 24 a = 4 b , and so b = 6 the answer is a ." | a ) 6 , b ) 12 , c ) 10 , d ) 15 , e ) 18 | a | divide(multiply(2, 12), 4) | multiply(n0,n2)|divide(#0,n1)| | general |
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