Cheukting/mathqa huggingface dataset:
Question (physics): on the first day of her vacation , louisa traveled 200 miles . on the second day , traveling at the same average speed , she traveled 350 miles . if the 200 - mile trip took 3 hours less than the 350 - mile trip , what was the average speed , in miles per hour ?
Options: a ) 45 , b ) 55 , c ) 60 , d ) 65 , e ) 50
Rationale: "( time ) * ( rate ) = ( distance ) - - > ( rate ) = ( distance ) / ( time ) - - > given : ( rate ) = 200 / t = 350 / ( t + 3 ) - - > 4 / t = 7 / ( t + 3 ) - - > 4 t + 12 = 7 t - - - - > 3 t = 12 . t = 4 - - - - > ( rate ) = 200 / 4 = 50 answer : e"
Answer: e
Question (physics): while working alone at their respective constant rates , server g uploads 480 files in 4 hours and server y uploads 480 files in 8 hours . if all files uploaded by these servers are the same size , how long would it take the two servers , working at the same time and at their respective constant rates , to process a total of 480 files ?
Options: a ) 2 hr , b ) 2 hr 20 min , c ) 2 hr 40 min , d ) 5 hr 40 min , e ) 6 hr
Rationale: server g processes 480 / 4 files per hour = 120 per hour server y processes 180 / 8 files per hour = 60 per hour total files processed per hour when g and y work together = 120 + 60 per hour = 180 files per hour 480 / 180 = 2 2 / 3 hours = c
Answer: c
Question (gain): two numbers are respectively 40 % and 60 % more than a third number . what percentage is the first of the second ?
Options: a ) 72 % , b ) 87.5 % , c ) 63.7 % , d ) 56.9 % , e ) 90 %
Rationale: "required answer = ( 100 + x ) / ( 100 + y ) * 100 = 140 * 100 / 160 = 87.5 % answer is b"
Answer: b
Question (general): if rs . 578 be divided among a , b , c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets , then their shares are respectively ?
Options: a ) s . 300 , b ) s . 408 , c ) s . 389 , d ) s . 368 , e ) s . 323
Rationale: "( a = 2 / 3 b and b = 1 / 4 c ) = a / b = 2 / 3 and b / c = 1 / 4 a : b = 2 : 3 and b : c = 1 : 4 = 3 : 12 a : b : c = 2 : 3 : 12 a ; s share = 578 * 2 / 17 = rs . 68 b ' s share = 578 * 3 / 17 = rs . 102 c ' s share = 578 * 12 / 17 = rs . 408 . answer : b"
Answer: b
Question (other): the ratio between the number of sheep and the number of horses at the stewar farm is 6 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ?
Options: a ) 18 , b ) 28 , c ) 32 , d ) 48 , e ) 58
Rationale: "et no of sheep and horses are 6 k and 7 k no of horses = 12880 / 230 = 56 now 7 k = 56 and k = 8 no of sheep = ( 6 * 8 ) = 48 answer : d"
Answer: d
Question (physics): a man swims downstream 40 km and upstream 56 km taking 8 hours each time , what is the speed of the man in still water ?
Options: a ) 6 , b ) 24 , c ) 8 , d ) 12 , e ) 44
Rationale: "40 - - - 8 ds = 5 ? - - - - 1 56 - - - - 8 us = 7 ? - - - - 1 m = ? m = ( 5 + 7 ) / 2 = 6 answer : a"
Answer: a
Question (gain): 4 / 6 of the population of the country of venezia lives in montague province , while the rest lives in capulet province . in the upcoming election , 80 % of montague residents support romeo , while 70 % of capulet residents support juliet ; each resident of venezia supports exactly one of these two candidates . rounded if necessary to the nearest percent , the probability that a juliet supporter chosen at random resides in capulet is
Options: a ) 28 % , b ) 41 % , c ) 45 % , d ) 64 % , e ) 78 %
Rationale: "total population = 60 ( assume ) . 4 / 6 * 60 = 40 people from montague . 2 / 6 * 60 = 20 people from capulet . 0.2 * 40 = 8 people from montague support juliet . 0.7 * 20 = 14 people from capulet support juliet . the probability that a juliet supporter chosen at random resides in capulet is 14 / ( 8 + 14 ) = ~ 64 . answer : d"
Answer: d
Question (general): if a certain number x is divided by 82 , the reminder is 5 . what is the reminder when x + 3 is divided by 41 ?
Options: a ) 3 , b ) 5 , c ) 6 , d ) 16 , e ) 18
Rationale: "x can be written as 82 k + 5 or x = 5 , 87,169 , etc . x + 3 = 82 k + 5 + 3 = 82 k + 8 or x + 3 = 8 , 90,172 etc . when divided by 41 , we will get the remainder 8 . e"
Answer: e
Question (gain): alfred buys an old scooter for $ 4400 and spends $ 800 on its repairs . if he sells the scooter for $ 5800 , his gain percent is ?
Options: a ) 5.45 % , b ) 6.23 % , c ) 7 % , d ) 8.12 % , e ) 11.5 %
Rationale: "c . p . = 4400 + 800 = $ 5200 s . p . = $ 5800 gain = 5800 - 5200 = $ 600 gain % = 600 / 5200 * 100 = 11.5 % answer is e"
Answer: e
Question (physics): a 1100 m long train crosses a tree in 110 sec , how much time will it take to pass a platform 700 m long ?
Options: a ) 288 , b ) 190 , c ) 188 , d ) 180 , e ) 12
Rationale: l = s * t s = 1100 / 110 s = 10 m / sec . total length ( d ) = 1800 m t = d / s t = 1800 / 10 t = 180 sec answer : d
Answer: d
Question (gain): if rs . 440 amount to rs . 540 in 4 years , what will it amount to in 6 years at the same rate % per annum ?
Options: a ) s . 575 , b ) s . 595 , c ) s . 590 , d ) s . 580 , e ) s . 585
Rationale: "80 = ( 440 * 4 * r ) / 100 r = 5.68 % i = ( 440 * 6 * 5.68 ) / 100 = 150 440 + 150 = 590 answer : c"
Answer: c
Question (general): what is the remainder when 43 ^ 92 is divided by 5 ?
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Rationale: "the units digit of the exponents of 3 cycle in a group of 4 : { 3 , 9 , 7 , 1 } 92 has the form 4 k so the units digit of 43 ^ 92 is 1 . the remainder when dividing by 5 is 1 . the answer is b ."
Answer: b
Question (general): the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.8 kg . the weight of the new student is
Options: a ) 22 kg , b ) 21.6 kg , c ) 22.4 kg , d ) 21 kg , e ) 23 kg
Rationale: "the total weight of 29 students = 29 * 28 the total weight of 30 students = 30 * 27.8 weight of the new student = ( 30 * 27.8 – 29 * 28 ) = 834 - 812 = 22 answer : a"
Answer: a
Question (general): in the quadratic equation ax 2 - x - 12 = 0 , if the sum of two roots is 1 , what is the product of the two roots ?
Options: a ) - 12 , b ) - 6 , c ) 12 , d ) 6 , e ) 24
Rationale: explanation : the sum of the roots of the quadratic equation ax 2 + bx + c = 0 are ( - b / a ) and the product of the roots are ( c / a ) . thus , in the equation ax 2 - 11 x + 40 = 0 , where a = a , b = - 1 and c = - 12 . we get , sum of the roots = 1 / a = 1 a = 1 product of the roots = - 12 / 1 = - 12 answer : a
Answer: a
Question (gain): a book is bought for $ 60 and sold for $ 63 . what is the profit in percentage ?
Options: a ) 3 , b ) 5 , c ) 7 , d ) 9 , e ) 11
Rationale: "63 / 60 = 1.05 the 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 e 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 e in this range . answer : a ."
Answer: a
Question (gain): in the science city , kolkata the rate of the ticket is increased by 50 % to increased the revenue but simultaneously 20 % of the visitor decreased . what is percentage change in the revenue . if it is known that the science city collects one revenue only from the visitors and it has no other financial supports :
Options: a ) + 20 % , b ) - 25 % , c ) + 305 , d ) - 30 % , e ) can not determined
Rationale: solution : let the initial revenue be 100 . 100 - - - - - 50 % ↑ ( ticket up ) - - - - - > 150 - - - - - 20 % ↓ ( visitors down ) - - - - - > 120 . there is 20 % increase in the revenue . answer : option a
Answer: a
Question (general): 81 * 82 * 83 * 84 * 85 * 86 * 87 * 89 . what should be in the unit place in this product ?
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Rationale: it should be zero in the unit place in this product . 85 * 82 will give zero in unit place . answer : a
Answer: a
Question (other): how many zeros does 500 ! end with ?
Options: a ) 201 , b ) 240 , c ) 124 , d ) 125 , e ) 180
Rationale: "according to above 500 ! has 500 / 5 + 500 / 25 + 500 / 125 = 100 + 20 + 4 = 124 trailing zeros . answer : c ."
Answer: c
Question (general): if the sum of two positive integers is 12 and the difference of their squares is 48 , what is the product of the two integers ?
Options: a ) 32 , b ) 119 , c ) 128 , d ) 135 , e ) 143
Rationale: "let the 2 positive numbers x and y x + y = 12 - - 1 x ^ 2 - y ^ 2 = 48 = > ( x + y ) ( x - y ) = 48 - - 2 using equation 1 in 2 , we get = > x - y = 4 - - 3 solving equation 1 and 3 , we get x = 8 y = 4 product = 8 * 4 = 32 answer a"
Answer: a
Question (gain): john makes $ 50 a week from his job . he earns a raise and now makes $ 80 a week . what is the % increase ?
Options: a ) 16 % , b ) 16.66 % , c ) 17.9 % , d ) 18.12 % , e ) 60 %
Rationale: "increase = ( 30 / 50 ) * 100 = ( 3 / 5 ) * 100 = 60 % . e"
Answer: e
Question (physics): a man can row downstream at 16 kmph and upstream at 10 kmph . find the speed of the man in still water and the speed of stream respectively ?
Options: a ) 3 , b ) 5 , c ) 6 , d ) 4 , e ) 9
Rationale: "let the speed of the man in still water and speed of stream be x kmph and y kmph respectively . given x + y = 16 - - - ( 1 ) and x - y = 10 - - - ( 2 ) from ( 1 ) & ( 2 ) 2 x = 26 = > x = 13 , y = 3 . answer : a"
Answer: a
Question (gain): a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer ’ s suggested retail price . if during a sale , the store discounts an additional 20 percent from the discount price , what would be the lowest possible price of a container of pet food that had a manufacturer ’ s suggested retail price o f $ 45.00 ?
Options: a ) $ 10.00 , b ) $ 11.20 , c ) $ 14.40 , d ) $ 25.20 , e ) $ 18.00
Rationale: "for retail price = $ 45 first maximum discounted price = 45 - 30 % of 45 = 45 - 13.5 = 31.5 price after additional discount of 20 % = 31.5 - 20 % of 31.5 = 31.5 - 6.3 = 25.2 answer : option d"
Answer: d
Question (general): in a group of 150 people , 90 have an age of more 30 years , and the others have an age of less than 20 years . if a person is selected at random from this group , what is the probability the person ' s age is less than 20 ?
Options: a ) 0.4 , b ) 0.5 , c ) 0.65 , d ) 0.75 , e ) 0.85
Rationale: "number of people whose age is less than 20 is given by 150 - 90 = 60 probability p that a person selected at random from the group is less than 20 is given by 60 / 150 = 0.4 correct answer a"
Answer: a
Question (general): the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 202 to 300 inclusive ?
Options: a ) 5,150 , b ) 7,550 , c ) 10,150 , d ) 12,550 , e ) 20,150
Rationale: "2 + 4 + 6 + 8 + . . . + 100 = 2550 202 + 204 + . . . + 300 = 50 ( 200 ) + ( 2 + 4 + . . . + 100 ) = 10,000 + 2550 = 12,550 the answer is d ."
Answer: d
Question (general): the average weight of 8 person ' s increases by 3 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ?
Options: a ) 60 kg , b ) 70 kg , c ) 80 kg , d ) 89 kg , e ) 95 kg
Rationale: "total weight increased = ( 8 x 3 ) kg = 24 kg . weight of new person = ( 65 + 24 ) kg = 89 kg . d )"
Answer: d
Question (general): a dishonest dealer claims to sell a product at its cost price . he uses a counterfeit weight which is 20 % less than the real weight . further greed overtook him and he added 15 % impurities to the product . find the net profit percentage of the dealer ?
Options: a ) 46.85 % , b ) 43.75 % , c ) 50 % , d ) 56.25 % , e ) 36 %
Rationale: the dealer uses weight which is 20 % less than the real weight . or ( 1 - 1 / 5 ) or 4 / 5 of real weight . it means that he is selling $ 4 worth of product for $ 5 . the dealer then further added 20 % impurities to the product . it means that he is selling $ 5 worth of product for $ 5.75 . so his profit is $ 5.75 - $ 4 = $ 1.75 and his profit percent is ( 1.75 / 4 ) * 100 = 43.75 % answer : - b
Answer: b
Question (gain): if it is assumed that 65 percent of those who receive a questionnaire by mail will respond and 300 responses are needed , what is the minimum number of questionnaires that should be mailed ?
Options: a ) 400 , b ) 420 , c ) 461.5 , d ) 500 , e ) 600
Rationale: "minimum no of mail to be sent for getting 300 responses at 65 % = 300 / 0.65 = 461.5 option c"
Answer: c
Question (geometry): if the length , breadth and the height of a cuboid are in the ratio 6 : 5 : 4 and if the total surface area is 33300 cm 2 cm 2 , then the length , breadth and height in cms , are respectively .
Options: a ) 90 , 85,60
b ) 85 , 75,60
c ) 90 , 75,70
d ) 90 , 75,60
e ) none
Rationale: explanation : let length = 6 x , breadth = 5 x and height = 4 x in cm 2 ( 6 x × 5 x + 5 x × 4 x + 6 x × 4 x ) = 33300 148 x 2 = 33300 ⇒ x 2 = 33300 / 148 = 225 ⇒ x = 15 length = 90 cm , breadth = 75 cm and height = 60 cm correct option : d
Answer: d
Question (physics): a train covers a distance of 14 km in 10 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ?
Options: a ) m , b ) m , c ) m , d ) m , e ) m
Rationale: "speed = ( 14 / 10 * 60 ) km / hr = ( 84 * 5 / 18 ) m / sec = 70 / 3 m / sec . length of the train = 70 / 3 * 6 = 140 m . answer : c"
Answer: c
Question (physics): eight identical machines can produce 360 aluminum cans per hour . if all of the machines work at the same constant rate , how many cans could 5 such machines produce in 2 hours ?
Options: a ) 450 , b ) 750 , c ) 1,800 , d ) 5,900 , e ) 7,500
Rationale: "8 machines / 360 cans = 5 machines / x cans 8 x = 1800 x = 225 ( 225 ) ( 2 hours ) = 450 cans . the answer is a ."
Answer: a
Question (physics): one hour after yolanda started walking from x to y , a distance of 31 miles , bob started walking along the same road from y to x . if yolanda ' s walking rate was 3 miles per hour and bob т ' s was 4 miles per hour , how many miles had bob walked when they met ?
Options: a ) 24 , b ) 23 , c ) 22 , d ) 21 , e ) 16
Rationale: "when b started walking y already has covered 3 miles out of 31 , hence the distance at that time between them was 31 - 3 = 28 miles . combined rate of b and y was 3 + 4 = 7 miles per hour , hence they would meet each other in 28 / 7 = 4 hours . in 6 hours b walked 4 * 4 = 16 miles . answer : e ."
Answer: e
Question (physics): two persons a and b can complete a piece of work in 30 days and 45 days respectively . if they work together , what part of the work will be completed in 5 days ?
Options: a ) 5 / 18 , b ) 1 / 6 , c ) 1 / 4 , d ) 1 / 9 , e ) 2 / 6
Rationale: "a ' s one day ' s work = 1 / 30 b ' s one day ' s work = 1 / 45 ( a + b ) ' s one day ' s work = 1 / 30 + 1 / 45 = 1 / 18 the part of the work completed in 5 days = 5 ( 1 / 18 ) = 5 / 18 . answer a"
Answer: a
Question (gain): a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200 . if a store employee applied the 25 percent employee discount to the retail price to buy the recorder , how much did the employee pay for the recorder ?
Options: a ) $ 198 , b ) $ 216 , c ) $ 220 , d ) $ 180 , e ) $ 240
Rationale: wholesale cost of video recorder = 200 $ video recorder was priced at 20 percent above 200 = 240 $ % discount given by store employee = 25 emlpoyee paid = . 75 * 240 = 180 $ answer d
Answer: d
Question (general): 789.009 - ? + 56.84 = 215.943
Options: a ) 899.015 , b ) 752.804 , c ) 714.642 , d ) 629.906 , e ) none of these
Rationale: "explanation : 629.906 answer : option d"
Answer: d
Question (physics): an seller earns an income of re 3 on the first day of his business . on every subsequent day , he earns an income which is just thrice of that made on the previous day . on the 15 th day of business , he earns an income of :
Options: a ) 19 , b ) 22 , c ) 25 , d ) 20 , e ) 36
Rationale: 2 nd day he earns = 3 ( 2 – 3 ) 3 rd day he earns = 3 ( 3 – 3 ) on 15 th day he earns 3 ( 15 - 3 ) = 36 rupees answer : e
Answer: e
Question (gain): how much 80 % of 40 is greater than 10 % of 15 ?
Options: a ) 18 , b ) 99 , c ) 19 , d ) 18 , e ) 17
Rationale: "( 80 / 100 ) * 40 – ( 10 / 100 ) * 15 32 - 15 = 17 answer : e"
Answer: e
Question (gain): in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 10 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?
Options: a ) 400 , b ) 625 , c ) 250 , d ) 2,500 , e ) 10,000
Rationale: "total fish = x percentage of second catch = ( 10 / 50 ) * 100 = 20 % so , x * 20 % = 50 x = 250 ans . c"
Answer: c
Question (physics): a can finish a work in 12 days , b in 9 days and c in 2 days , b and c start the work but are forced to leave after 3 days . the remaining work was done by a in ?
Options: a ) 10 days , b ) 12 days , c ) 6 days , d ) 7 days , e ) 5 days
Rationale: 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 / 24 work is done by a in 1 day 5 / 12 work is done by a in 12 * 5 / 12 = 5 days answer is e
Answer: e
Question (physics): 75 boys can complete a job in 24 days . how many men need to complete the job twice in 20 days
Options: a ) 160 , b ) 170 , c ) 180 , d ) 190 , e ) 200
Rationale: one man can complete the job in 24 * 75 = 1800 days to complete the job twice he would need 3600 days . thus , to complete the job in 20 days , 3600 / 20 = 180 men are needed . answer : c
Answer: c
Question (gain): on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 4 for each of the past 5 months . if the stock continues to decrease at the same rate for the rest of the year , how many fewer bicycles will be in stock on december 1 than were in stock on january 1 ?
Options: a ) 8 , b ) 12 , c ) 20 , d ) 44 , e ) 36
Rationale: "jan 1 = c feb 1 = c - 4 march 1 = c - 8 april 1 = c - 12 may 1 = c - 16 june 1 = c - 20 july 1 = c - 24 aug 1 = c - 28 sept 1 = c - 32 oct 1 = c - 36 nov 1 = c - 40 dec 1 = c - 44 difference between stock on december 1 than were in stock on january 1 will be - c - ( c - 44 ) = 44 hence answer will be ( d )"
Answer: d
Question (other): there are 760 students in a school . the ratio of boys and girls in this school is 3 : 5 . find the total of girls & boys are there in this school ?
Options: a ) 320 , b ) 345 , c ) 425 , d ) 475 , e ) 400
Rationale: "in order to obtain a ratio of boys to girls equal to 3 : 5 , the number of boys has to be written as 3 x and the number of girls as 5 x where x is a common factor to the number of girls and the number of boys . the total number of boys and girls is 760 . hence 3 x + 5 x = 760 solve for x 8 x = 760 x = 95 number of boys 3 x = 3 × 95 = 285 number of girls 5 x = 5 × 95 = 475 d"
Answer: d
Question (physics): a contractor is engaged for 30 days on the condition that he receives rs . 25 for eachday he works & is fined rs . 7.50 for each day is absent . he gets rs . 425 in all . for how many days was heabsent ?
Options: a ) 5 , b ) 10 , c ) 17 , d ) 25 , e ) 30
Rationale: "30 * 25 = 750 425 - - - - - - - - - - - 325 25 + 7.50 = 32.5 325 / 32.5 = 10 b"
Answer: b
Question (general): if a dozen of oranges cost $ 5 , what would be the cost of 10 oranges ?
Options: a ) 3.56 , b ) 4.16 , c ) 4.86 , d ) 5.1 , e ) 5.2
Rationale: the cost of one orange = 5 / 12 = 0.416 the cost of ten oranges = 0.416 x 10 = $ 4.16 answer : b
Answer: b
Question (geometry): the perimeter of one square is 48 cm and that of another is 36 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ?
Options: a ) 13 √ 4 , b ) 13 √ 2 , c ) 23 √ 2 , d ) 12 √ 4 , e ) 15 √ 2
Rationale: "4 a = 48 4 a = 36 a = 12 a = 9 a 2 = 144 a 2 = 81 combined area = a 2 = 225 = > a = 15 d = 15 √ 2 answer : e"
Answer: e
Question (physics): light glows for every 14 seconds . how many times did it between 1 : 57 : 58 and 3 : 20 : 47 am
Options: a ) 381 , b ) 382 , c ) 383 , d ) 384 , e ) 355
Rationale: "the diff in sec between 1 : 57 : 58 and 3 : 20 : 47 is 4969 sec , 4969 / 14 = 354 so total 355 times light ll glow answer : e"
Answer: e
Question (physics): if 36 men can do a piece of work in 20 hours , in how mwny hours will 15 men do it ?
Options: a ) 22 , b ) 48 , c ) 60 , d ) 88 , e ) 72
Rationale: "explanation : let the required no of hours be x . then less men , more hours ( indirect proportion ) \ inline \ fn _ jvn \ therefore 15 : 36 : : 20 : x \ inline \ fn _ jvn \ leftrightarrow ( 15 x x ) = ( 36 x 20 ) \ inline \ fn _ jvn \ leftrightarrow \ inline \ fn _ jvn x = \ frac { 36 \ times 20 } { 15 } = 48 hence , 15 men can do it in 48 hours . answer : b ) 48"
Answer: b
Question (physics): 20 beavers , working together in a constant pace , can build a dam in 3 hours . how many hours z will it take 12 beavers that work at the same pace , to build the same dam ?
Options: a ) 2 . , b ) z = 4 . , c ) z = 5 . , d ) 6 . , e ) 8 .
Rationale: "c . 5 hrs if there were 10 beavers it qould have taken double z = 6 hrs . . so closest to that option is 5 ."
Answer: c
Question (gain): find the simple interest on rs . 580 for 11 months at 9 paisa per month ?
Options: a ) 574 , b ) 270 , c ) 566 , d ) 266 , e ) 121
Rationale: "i = ( 580 * 11 * 9 ) / 100 = 574 answer : a"
Answer: a
Question (general): every letter in the alphabet has a number value that is equal to its place in the alphabet . thus , the letter a has a value of 1 , the letter b has a value of 2 , the letter c has a value of 3 , etc . . . the number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word . what is the number value of the word ` ` rat ' ' ?
Options: a ) 108 , b ) 111 , c ) 114 , d ) 117 , e ) 120
Rationale: ` ` rat ' ' = ( 18 + 1 + 20 ) * 3 = 117 . the answer is d .
Answer: d
Question (physics): a train 100 m long crosses a platform 125 m long in 2 sec ; find the speed of the train ?
Options: a ) 36 , b ) 405 , c ) 200 , d ) 302 , e ) 404
Rationale: "d = 100 + 125 = 225 t = 2 s = 225 / 2 * 18 / 5 = 405 kmph answer : b"
Answer: b
Question (general): 0.0015 ÷ ? = 0.003
Options: a ) 0.05 , b ) 0.005 , c ) 0.5 , d ) 5 , e ) 50
Rationale: "let 0.0015 / x = 0.003 x = 0.0015 / 0.003 = 0.5 answer : c"
Answer: c
Question (general): √ ( 9 ) ^ 2
Options: a ) 3 , b ) 14 , c ) 9 , d ) 21 , e ) none of these
Rationale: "explanation √ ( 9 ) ^ 2 = ? or , ? = 9 answer c"
Answer: c
Question (gain): the majority owner of a business received 25 % of the profit , with each of 4 partners receiving 25 % of the remaining profit . if the majority owner and two of the owners combined to receive $ 39,375 , how much profit did the business make ?
Options: a ) $ 54,000 , b ) $ 57,000 , c ) $ 60,000 , d ) $ 63,000 , e ) $ 66,000
Rationale: "let p be the total profit . p / 4 + 1 / 2 * ( 3 p / 4 ) = p / 4 + 3 p / 8 = 5 p / 8 = $ 39,375 p = $ 63,000 the answer is d ."
Answer: d
Question (geometry): 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 . 3 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?
Options: a ) s . 4528 , b ) s . 4520 , c ) s . 4527 , d ) s . 4530 , e ) s . 2718
Rationale: "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 * 3 = rs . 2718 answer : e"
Answer: e