Cheukting/mathqa huggingface dataset:
Question (physics): four bells commence tolling together and toll at intervals of 2 , 4 , 6 , 8 seconds respectively . in 18 minutes , how many times do they toll together ?
Options: a ) 43 , b ) 44 , c ) 45 , d ) 46 , e ) 47
Rationale: "lcm of 2 , 4 , 6 , 8 is 24 . so , after each 24 seconds , they would toll together . hence , in 18 minutes , they would toll 18 * 60 seconds / 24 seconds = 45 times but then the question says they commence tolling together . so , they basically also toll at thebeginning ( 0 second ) . so , total tolls together = 45 + 1 = 46 answer c"
Answer: c
Question (gain): what percent of 150 is 40 ?
Options: a ) 0.25 % , b ) 26.67 % , c ) 25 % , d ) 40 % , e ) 250 %
Rationale: "150 * x / 100 = 40 x = 2 * 40 / 3 x = 26.67 ans : b"
Answer: b
Question (general): list k consists of 12 consecutive integers . if - 5 is the least integer in list k , what is the range of the positive integers in list k ?
Options: a ) 5 , b ) 6 , c ) 7 , d ) 11 , e ) 12
Rationale: "answer = a = 5 if least = - 5 , then largest = 6 range = 6 - 1 = 5"
Answer: a
Question (gain): a dishonest dealer professes to sell goods at the cost price but uses a weight of 920 grams per kg , what is his percent ?
Options: a ) 22 % , b ) 25 % , c ) 77 % , d ) 99 % , e ) 8.7 %
Rationale: "920 - - - 80 100 - - - ? = > 8.7 % answer : e"
Answer: e
Question (gain): a man cheats while buying as well as while selling . while buying he takes 10 % more than what he pays for and while selling he gives 20 % less than what he claims to . find the profit percent , if he sells at 10 % below the cost price of the claimed weight .
Options: a ) 19.81 % , b ) 20 % , c ) 37.5 % , d ) 23.75 % , e ) 37.5 %
Rationale: "there is a one step calculation method too . it requires more thought but is faster . the man takes 10 % more than what he pays for . so if he claims to take 100 pounds , he pays $ 100 but he actually takes 110 pounds for which he will take from the customer $ 110 . hence , in effect , there is a 10 % mark up . while selling , he sells 20 % less . this means , he claims to sell 100 pounds and gets $ 100 but actually sells only 80 pounds and should have got only $ 80 for it . so this is again a mark up of $ 20 on $ 80 which is 25 % . but he also sells at 10 % less ( 1 + m 1 % ) ( 1 + m 2 % ) ( 1 - d % ) = ( 1 + p % ) 11 / 10 * 5 / 4 * 9 / 10 = ( 1 + p % ) profit % = 23.75 % d"
Answer: d
Question (general): a case contains c cartons . each carton contains b boxes , and each box contains 600 paper clips . how many paper clips are contained in 2 cases ?
Options: a ) 600 bc , b ) 600 b / c , c ) 1200 bc , d ) 1200 b / c , e ) 1200 / bc
Rationale: 2 cases * c cartons / case * b boxes / carton * 600 clips / box = 1200 bc paper clips the answer is c .
Answer: c
Question (general): an army ’ s recruitment process included n rounds of selection tasks . for the first a rounds , the rejection percentage was 60 percent per round . for the next b rounds , the rejection percentage was 50 percent per round and for the remaining rounds , the selection percentage was 70 percent per round . if there were 10000 people who applied for the army and 350 were finally selected , what was the value of n ?
Options: a ) 4 , b ) 5 , c ) 6 , d ) 9 , e ) 8
Rationale: "fastly i reduce 60 % till it gets closer to our required 2000 candidates step ( 1 ) 40000 accepted . step ( 2 ) another 40 % of 40000 = 16000 accepted . here it is quiet observable that if we further deduct candidate by 60 % it would change our probablity of easy going 2000 candidate . so i would get to second stage of recruitment where 50 % is accepted step ( 3 ) 50 % of 16000 = 8000 step ( 4 ) 50 % of 8000 = 4000 step ( 5 ) 50 % of 4000 = 2000 step ( 6 ) 50 % of 2000 = 1000 step ( 7 ) 50 % of 1000 = 500 last step of accepting 70 % of 500 = 350 ( our target ) total 8 steps required . ans d"
Answer: d
Question (general): the number 133 is equal to the sum of the cubes of two integers . what is the product of those integers ?
Options: a ) 8 , b ) 15 , c ) 21 , d ) 27 , e ) 10
Rationale: "2 ^ 3 + 5 ^ 3 = 133 the number is 2 * 5 = 10 e"
Answer: e
Question (gain): a ladder 30 feet long is leaning against a wall that is perpendicular to level ground . the bottom of the ladder is 10 feet from the base of the wall . if the top of the ladder slips down 5 feet , how many feet will the bottom of the ladder slip ?
Options: a ) 14 , b ) 15 , c ) 18.92 , d ) 19 , e ) 25
Rationale: 30 ^ 2 - 10 ^ 2 = 800 it means that the height is equal to 28.28 . since the top of the ladder slips down 5 feet , then the height of the wall = 28.28 - 5 = 23.28 the bottom = sqrt ( 30 ^ 2 - 23.28 ^ 2 ) = sqrt ( 900 - 541.95 ) = 18.92 ans is c
Answer: c
Question (physics): if 3 workers collect 48 kg of cotton in 4 days , how many kg of cotton will 9 workers collect in 2 days ?
Options: a ) 88 kg , b ) 65 kg , c ) 72 kg , d ) 44 kg , e ) 55 kg
Rationale: ( 3 * 4 ) / 48 = ( 9 * 2 ) / x x = 72 kg answer : c
Answer: c
Question (general): a number divided by 34 leaves remainder 37 what is the remainder when same number divided by 9
Options: a ) 7 , b ) 8 , c ) 9 , d ) 0 , e ) 1
Rationale: "add 34 + 37 = 72 now 72 divided by 9 so we get 0 as reaminder answer : d"
Answer: d
Question (gain): a certain article of clothing was discounted during a special sale to 3 / 4 of its original retail price . when the clothing did n ' t sell , it was discounted even further to 1 / 3 of its original retail price during a second sale . by what percent did the price of this article of clothing decrease from the first sale to the second sale ?
Options: a ) 50 % , b ) 33.33 % , c ) 25 % , d ) 55.55 % , e ) 12.5 %
Rationale: "say the original retail price of the item was $ 200 . the price after the first sale = 3 / 4 * $ 200 = $ 150 . the price after the second sale = 1 / 3 * $ 200 = $ 200 / 3 . the percent change from the first sale to the second = ( 150 - 200 / 3 ) / 150 = 1 / 3 = 55.55 % . answer : d ."
Answer: d
Question (general): what is the least number which should be added to 2597 so that the sum is exactly divisible by 5 , 6 , 4 , and 3 ?
Options: a ) 17 , b ) 23 , c ) 26 , d ) 35 , e ) 43
Rationale: "l . c . m . of 5 , 6 , 4 and 3 = 60 . when dividing 2597 by 60 , the remainder is 17 . the number to be added = 60 - 17 = 43 . the answer is e ."
Answer: e
Question (general): find the greatest number which leaves the same remainder when it divides 16 , 46 and 82 .
Options: a ) 18 , b ) 8 , c ) 12 , d ) 16 , e ) none of these
Rationale: "82 - 46 = 36 46 - 16 = 20 82 - 16 = 66 the h . c . f of 20 , 36 and 66 is 2 . answer : e"
Answer: e
Question (general): evaluate : | 8 - 8 ( 3 - 12 ) | - | 5 - 11 | = ?
Options: a ) 40 , b ) 74 , c ) 60 , d ) 70 , e ) 80
Rationale: "according to order of operations , inner brackets first . hence | 8 - 8 ( 3 - 12 ) | - | 5 - 11 | = | 8 - 8 * ( - 9 ) | - | 5 - 11 | according to order of operations , multiplication within absolute value signs ( which may be considered as brackets when it comes to order of operations ) next . hence = | 8 + 72 | - | 5 - 11 | = | 80 | - | - 6 | = 80 - 6 = 74 correct answer b ) 74"
Answer: b
Question (gain): heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has 90 % water . how many liters of tomato puree will be obtained from 25 litres of tomato juice ?
Options: a ) 2.8 liters . , b ) 3.125 liters . , c ) 8.5 liters . , d ) 2.6 liters . , e ) 2.1 liters .
Rationale: answer : explanation : in each of the solutions , there is a pure tomato component and some water . so while boiling , water evaporates but tomato not . so we equate tomato part in the both equations . â ‡ ’ â ‡ ’ 10 % ( 25 ) = 80 % ( x ) â ‡ ’ â ‡ ’ x = 3.125 liters . answer : b
Answer: b
Question (physics): triathlete dan runs along a 4 - mile stretch of river and then swims back along the same route . if dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour , what is his average rate for the entire trip in miles per minute ?
Options: a ) 1 / 8 , b ) 2 / 15 , c ) 3 / 15 , d ) 1 / 4 , e ) 3 / 8
Rationale: "dan travels 8 miles round trip . running part : ( 4 / 10 * 60 = 24 minutes ) swimming part : ( 4 / 6 * 60 = 40 minutes ) 8 miles in ( 24 + 40 ) minutes 8 / 64 = 1 / 8 mile per minute answer : 1 / 8 mile per minute"
Answer: a
Question (gain): at a small company , 58 percent of the employees are women , and 60 percent of the employees are married . if 2 / 3 of the men are single , what fraction of the women are married ?
Options: a ) 5 / 16 , b ) 1 / 3 , c ) 23 / 29 , d ) 7 / 10 , e ) 5 / 7
Rationale: lets take total employees are 100 . given that , total women = 58 and total married = 60 . total men = 100 - 58 = 42 and single men = 2 / 3 * 42 = 28 . married men = total men - single men = 42 - 28 = 14 . married women = total married - married men = 60 - 14 = 46 . fraction of women are married = married women / total women = 46 / 58 = 23 / 29 . ans c
Answer: c
Question (general): if a function f is defined by f ( x ) = - 1 / x for all non zero numbers x . if f ( a ) = - 1 / 3 and f ( ab ) = 1 / 6 then b = ?
Options: a ) 2 , b ) 1 / 2 , c ) - 1 / 2 , d ) - 2 , e ) - 12
Rationale: f ( a ) = - 1 / 3 = - 1 / a , and thus a = 3 f ( ab ) = 1 / 6 , and thus ab = - 6 3 b = - 6 b = - 2 the answer is d .
Answer: d
Question (physics): if 10 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days ?
Options: a ) 127 , b ) 237 , c ) 360 , d ) 450 , e ) 281
Rationale: "explanation : let the required no of hectares be x . then men - - - hectares - - - days 10 - - - - - - - - - 80 - - - - - - - - - 24 36 - - - - - - - - - x - - - - - - - - - 30 more men , more hectares ( direct proportion ) more days , more hectares ( direct proportion ) x = 36 / 10 * 30 / 24 * 80 x = 360 answer : c"
Answer: c
Question (physics): a man can row a distance of 5 km in 60 min with the help of the tide . the direction of the tide reverses with the same speed . now he travels a further 20 km in 10 hours . how much time he would have saved if the direction of tide has not changed ?
Options: a ) 2 , b ) 8 , c ) 1 , d ) 6 , e ) 5
Rationale: "explanation : he covered 5 km in 1 hour , so he might cover 20 km in 4 hours . but he took 10 hours . he would have saved 10 – 4 = 6 hours . answer : d"
Answer: d
Question (general): a certain fraction is equivalent to 2 / 5 . if the numerator of the fraction is increased by 4 and the denominator is doubled , the new fraction is equivalent to 1 / 4 . what is the difference of the numerator and denominator of the original fraction ?
Options: a ) 49 , b ) 35 , c ) 28 , d ) 24 , e ) 21
Rationale: "x / y = 2 / 5 - > 1 ( x + 4 ) / 2 y = 1 / 4 - > 2 divide 1 by 2 : = > 2 x / ( x + 4 ) = 8 / 5 = > 5 x = 4 x + 16 = > x = 16 = > y = 5 / 2 * 16 = 40 so x - y = 24 the answer is d"
Answer: d
Question (gain): a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 15 % . their gross income from sales for one month increases by what percent ?
Options: a ) 1.5 % , b ) 2.5 % , c ) 3.5 % , d ) 4.5 % , e ) 5.5 %
Rationale: "let p be the original price and let x be the number of items sold originally . the original income is p * x . after the changes , the income is 0.9 p * 1.15 x = 1.035 * ( p * x ) , an increase of 3.5 % . the answer is c ."
Answer: c
Question (gain): if a man lost 8 % by selling oranges at the rate of 25 a rupee at how many a rupee must he sell them to gain 25 % ?
Options: a ) 20 , b ) 15 , c ) 18.4 , d ) 20 , e ) 12.8
Rationale: "92 % - - - - 25 125 % - - - - ? 92 / 125 * 25 = 18.4 answer : c"
Answer: c
Question (general): how many positive integers less than 100 are there such that they are multiples of 13 or multiples of 12 but not both ?
Options: a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19
Rationale: "for 13 : 13 . . . 91 = 13 * 7 = 7 for 12 : 12 . . . 96 = 12 * 8 = 8 but there is no integer 13 * 12 . so n = ( 7 ) + ( 8 ) = 15 a"
Answer: a
Question (general): a certain experimental mathematics program was tried out in 2 classes in each of 38 elementary schools and involved 44 teachers . each of the classes had 1 teacher and each of the teachers taught at least 1 , but not more than 3 , of the classes . if the number of teachers who taught 3 classes is n , then the least and greatest possible values of n , respectively , are
Options: a ) 0 and 13 , b ) 0 and 14 , c ) 0 and 16 , d ) 1 and 9 , e ) 2 and 8
Rationale: "one may notice that greatest possible values differ in each answer choice in contrast to the least values , which repeat . to find out the greatest value you should count the total classes ( 38 * 2 = 76 ) , then subtract the total # of teachers since we know from the question that each teacher taught at least one class ( 76 - 44 = 32 ) . thus we get a number of the available extra - classes for teachers , and all that we need is just to count how many teachers could take 2 more classes , which is 32 / 2 = 16 . so the greatest possible value of the # of teachers who had 3 classes is 16 . only answer c has this option ."
Answer: c
Question (general): if y exceeds x by 20 % , then x is less than y by ?
Options: a ) 16 2 / 8 % , b ) 16 8 / 3 % , c ) 16 2 / 3 % , d ) 76 2 / 3 % , e ) 17 2 / 3 %
Rationale: x = 100 y = 120 120 - - - - - - 20 100 - - - - - - - ? = > 16 2 / 3 % answer : c
Answer: c
Question (physics): express a speed of 90 kmph in meters per second ?
Options: a ) 10 mps , b ) 76 mps , c ) 26 mps , d ) 97 mps , e ) 25 mps
Rationale: "90 * 5 / 18 = 25 mps answer : e"
Answer: e
Question (physics): together , 15 type a machines and 7 type b machines can complete a certain job in 4 hours . together 8 type b machines and 15 type c machines can complete the same job in 11 hours . how many w hours would it take one type a machine , one type b machine , and one type c machine working together to complete the job ( assuming constant rates for each machine ) ?
Options: a ) 22 hours , b ) 30 hours , c ) 44 hours , d ) 60 hours , e ) it can not be determined from the information above .
Rationale: "say the rates of machines a , b and c are a , b , and c , respectively . together 15 type a machines and 7 type b machines can complete a certain job in 4 hours - - > 15 a + 7 b = 1 / 4 ; together 8 type b machines and 15 type c machines can complete the same job in 11 hours - - > 8 b + 15 c = 1 / 11 . sum the above : 15 a + 15 b + 15 c = 1 / 4 + 1 / 11 = 15 / 44 - - > reduce by 15 : a + b + c = 1 / 44 - - > so , the combined rate of the three machines is 1 / 44 job / hour - - > time is reciprocal of the rate , thus machines a , b and c can do the job w in 44 hours . answer : c ."
Answer: c
Question (general): the smallest value of n , for which n + 2 is not a prime number , is
Options: a ) 1,2 , b ) 4,6 , c ) 2,4 , d ) 8,12 , e ) 9,6
Rationale: ( 1 + 2 ) = 3 . ( 2 + 2 ) = 4 . ( 3 + 2 ) = 5 . ( 4 + 2 ) = 6 . which is not prime , n = 2,4 . answer : c
Answer: c
Question (physics): a man traveled from the village to the post - office at the rate of 25 kmph and walked back at the rate of 4 kmph . if the whole journey took 5 hours 48 minutes , find the distance of the post - office from the village ?
Options: a ) 70 m , b ) 80 km , c ) 20 km , d ) 10 km , e ) 73 km
Rationale: explanation : average speed = , here a = 25 b = 4 = 2 x 25 x 4 / ( 25 + 4 ) = 200 / 29 km / hr . distance covered in 5 hours 48 minutes = speed x time = ( 200 / 29 ) x ( 29 / 5 ) distance covered in 5 hours 48 minutes = 40 kms . distance of the post office from the village = ( 40 / 2 ) = 20 km . answer : c
Answer: c
Question (other): a bag contains 21 toys numbered 1 to 21 . a toy is drawn and then another toy is drawn without replacement . find the probability that both toys will show even numbers .
Options: a ) 5 / 21 , b ) 9 / 42 , c ) 6 / 22 , d ) 4 / 21 , e ) 3 / 21
Rationale: since there are 10 even numbers in the given range , the probability that the first toy shows an even number = 10 / 21 since the toy is not replaced , there are now 9 even numbered toys and total 20 toys left . hence , probability that the second toy shows an even number = 9 / 20 . required probability = 10 / 21 x 9 / 20 = 9 / 42 . answer : b
Answer: b
Question (physics): trapezoid jklm in the x - y plane has coordinates j = ( – 2 , – 4 ) , k = ( – 2 , 1 ) , l = ( 6 , 7 ) , and m = ( 6 , – 4 ) . what is its perimeter ?
Options: a ) 34 , b ) 36 , c ) 38 , d ) 40 , e ) 42
Rationale: "this one may look challenging initially , but all kinds of simplifying tricks . first of all , j & k have the same x - coordinate , so that ’ s a vertical segment , and the length is jk = 1 – ( – 4 ) = 5 . l & m also have the same x - coordinate , so that ’ s also a vertical segment , and the length is lm = 7 – ( – 4 ) = 11 . j & m have the same y - coordinate , so that ’ s also a horizontal segment , and the length is jm = 6 – ( – 2 ) = 8 . right there , we have the lengths of three of the four sides . the last side to find is kl . from k = ( – 2 , 1 ) , we have to go over 8 and up 6 to get to l = ( 6 , 7 ) , so 6 and 8 the legs of the right triangle , and kl is the hypotenuse . we recognize another common pythagorean triplet — ( 6 , 8 , 10 ) , which is a multiple of the ( 3 , 4 , 5 ) triplet . thus , without further calculations , we immediately know kl = 10 . perimeter = jk + kl + lm + jm = 5 + 10 + 11 + 8 = 34 answer = a"
Answer: a
Question (gain): a tradesman by means of his false balance defrauds to the extent of 20 % ? in buying goods as well as by selling the goods . what percent does he gain on his outlay ? a . 20 % b . 45 %
Options: a ) 77 , b ) 66 , c ) 44 , d ) 99 , e ) 11
Rationale: g % = 20 + 20 + ( 20 * 20 ) / 100 = 44 % answer : c
Answer: c
Question (general): a numberais squared and then multiplied by negative 3 . the result of this operation r is equal to 3 times the sum of 3 timesaand two . what is one possible value ofa ?
Options: a ) - 3 , b ) - 2 , c ) 1 , d ) 2 , e ) 3
Rationale: r = - 3 * a ^ 2 = 3 ( 3 a + 2 ) a = - 2 or - 1 a = - 2 = b
Answer: b
Question (probability): a bag contains 10 red jellybeans and 10 blue jellybeans . if 3 jellybeans are removed one at a time , at random and are not replaced , what is the probability e that all 3 jellybeans removed from the bag are blue ?
Options: a ) 9 / 100 , b ) 2 / 19 , c ) 1 / 8 , d ) 3 / 20 , e ) 3 / 10
Rationale: "method - 1 10 red jellybeans and 10 blue jellybeans total outcomes = no . of ways to choose 3 jelly bean at random out of a total 20 jellybeans = 20 c 3 = 1140 favourable outcomes = no . of ways to choose 3 jelly bean such that they are all blue out of 10 blue = 10 c 3 = 120 probability = favourable outcomes / total outcomes = 10 c 3 / 20 c 3 probability e = 120 / 1140 = 2 / 19 answer : option b method - 2 probability of first jelly bean to be blue = 10 / 20 [ total 10 blue out of total 20 jellybeans ] probability of second jelly bean to be blue = 9 / 19 [ total 9 blue remaining out of total 19 jellybeans remaining ] probability of third jelly bean to be blue = 8 / 18 [ total 8 blue remaining out of total 18 jellybeans remaining ] required probability = ( 10 / 20 ) * ( 9 / 19 ) * ( 8 / 18 ) = 2 / 19 answer : option b"
Answer: b
Question (physics): a train 50 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train . find the speed of the train ?
Options: a ) 15 kmph , b ) 25 kmph , c ) 35 kmph , d ) 45 kmph , e ) 55 kmph
Rationale: "let the speed of the train be x kmph speed of the train relative to man = x + 5 = ( x + 5 ) * 5 / 18 m / sec 50 / [ ( x + 5 ) * 5 / 18 ] = 6 30 ( x + 5 ) = 900 x = 25 kmph answer is b"
Answer: b
Question (general): for any integer n greater than 1 , n * denotes the product of all the integers from 1 to n , inclusive . how many prime numbers are there between 6 * + 2 and 6 * + 6 , inclusive ?
Options: a ) none , b ) one , c ) two , d ) three , e ) four
Rationale: "given that n * denotes the product of all the integers from 1 to n , inclusive so , 6 * + 2 = 6 ! + 2 and 6 * + 6 = 6 ! + 6 . now , notice that we can factor out 2 our of 6 ! + 2 so it can not be a prime number , we can factor out 3 our of 6 ! + 3 so it can not be a prime number , we can factor out 4 our of 6 ! + 4 so it can not be a prime number , . . . the same way for all numbers between 6 * + 2 = 6 ! + 2 and 6 * + 6 = 6 ! + 6 , inclusive . which means that there are no primes in this range . answer : a ."
Answer: a
Question (geometry): what is the area of an equilateral triangle whose one side length is 50 ?
Options: a ) 225 √ 3 , b ) 325 √ 3 , c ) 425 √ 3 , d ) 525 √ 3 , e ) 625 √ 3
Rationale: - > - > the area of an equilateral triangle with one side length of a is √ 3 a 2 / 4 . thus , √ 3 ( 50 ^ 2 ) / 4 = 625 √ 3 and the answer is e .
Answer: e
Question (general): 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 5 times 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 $ 0.80 per glass on the first day , what was the price per glass on the second day ?
Options: a ) $ 015 , b ) $ 0.27 , c ) $ 0.30 , d ) $ 0.40 , e ) $ 0.45
Rationale: 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 5 units of water was used to make 6 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 6 . 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 6 . 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 6 glasses on the second day . say the price of the glass of the orangeade on the second day was $ x then 2 * 0.8 = 6 * x - - > x = $ 0.27 . answer : b .
Answer: b
Question (physics): if 2 men or 3 women can reap a field in 10 days how long will 4 men and 5 women take to reap it ?
Options: a ) 2 / 25 , b ) 11 / 30 , c ) 3 / 60 , d ) 5 / 42 , e ) 7 / 12
Rationale: "explanation : 2 men reap 1 / 10 field in 1 day 1 man reap 1 / ( 2 x 10 ) 3 women reap 1 / 10 field in 1 day 1 woman reap 1 / ( 10 x 3 ) 4 men and 5 women reap 4 / ( 2 x 10 ) + 5 / ( 3 x 10 ) ) = 11 / 30 in 1 day 4 men and 5 women will reap the field in 11 / 30 days answer : option b"
Answer: b
Question (general): the average of 11 10 prime numbers which are odd is ?
Options: a ) 17.72 , b ) 18.52 , c ) 19.63 , d ) 16.53 , e ) 15.63
Rationale: explanation : sum of first 11 prime no . which are odd = 195 average = 195 / 11 = 17.72 answer : a
Answer: a
Question (general): the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen . what is the total number of doughnuts purchased if you paid $ 25 ?
Options: a ) 45 , b ) 49 , c ) 53 , d ) 57 , e ) 61
Rationale: "$ 25 = 4 * $ 6 + $ 1 the number of doughnuts is 4 * 12 + 1 = 49 the answer is b ."
Answer: b
Question (general): during the first two weeks of january , the total rainfall in springdale was 25 inches . if the rainfall during the second week was 1.5 times the rainfall during the first week , what was the rainfall during the second week of january ?
Options: a ) 5 inches , b ) 6 inches , c ) 9 inches , d ) 10 inches , e ) 15 inches
Rationale: "total rainfall in 2 weeks = 25 inches . assume the rainfall in second week = 1 . x rainfall in first week = x total rainfall = 2.5 x = 25 inches x = 10 and 1.5 x = 15 rainfall during second week = 9 inches option e"
Answer: e