mathewhe/aqua_rat huggingface dataset:
Question: If 12 men can do a piece of work in 25 hours, in how many hours will 15 men
do it ?
(A) 20 hours
(B) 30 hours
(C) 40 hours
(D) 50 hours
(E) 60 hours
Rationale: Let the required number of hours be x. Then,
Less men, More hours	(Indirect Proportion)
15 : 12 : : 25 : x<=>(15 x x) =(12 x 25)<=>(12 x 25)/15 = 20
Hence, 15 men can do it in 60 hours
Answer is A.
Answer: (A) 20 hours
Question: A person buys an article at Rs.500. At what price should he sell the article so as to make a profit of 20%?
(A) 600
(B) 2877
(C) 208
(D) 1882
(E) 191
Rationale: Explanation:
Cost price = Rs.500
profit = 20% of 500 = Rs.100
Selling price = Cost price + Profit
= 500 + 100 = 600
Answer:A
Answer: (A) 600
Question: A man gains 20% by selling an article for a certain price. If the sells it at double the price, the percentage of profit will be
(A) 740%
(B) 540%
(C) 640%
(D) 140%
(E) 240%
Rationale: Explanation:
Let C.P. = Rs. x.
Then, S.P. = Rs. (12% of x) = Rs. 6x/5
New S.P. = 2 * 6x/5 = Rs. 12x/5
Profit = 12x/5 - x = Rs. 7x/5
Profit = 7x/5 * 1/x * 100 = 140%.
Answer:D
Answer: (D) 140%
Question: A man is 28 years older than his son. In two years, his age will be twice the age of his son. What is the present age of his son?
(A) 23 years
(B) 22 years
(C) 21 years
(D) 20 years
(E) 26 years
Rationale: Let present age of the son =x years
Then, present age the man =(x+28) years
Given that, in 2 years, man's age will be twice the age of his son
â‡’(x+28)+2=2(x+2)
â‡’x=26
ANSWER:E
Answer: (E) 26 years
Question: Reena took a loan of Rs. 1200 with simple interest for as many years as the rate of interest. If she paid Rs. 588 as interest at the end of the loan period, what was the rate of interest?
(A) 3.6
(B) 7
(C) 18
(D) Cannot be determined
(E) None of these
Rationale: let rate = R% and time = R years
Then ( 1200 x R x R /100) = 588
=> 12R2= 588
=> R2= 49
=> R= 7
Answer B
Answer: (B) 7
Question: A rectangular grass field is 75 m * 55 m, it has a path of 3.5 m wide all round it on the outside. Find the area of the path and the cost of constructing it at Rs.2 per sq m?
(A) s.1350
(B) s.1327
(C) s.1328
(D) s.1397
(E) s.1918
Rationale: Area = (l + b +2d) 2d
= (75 + 55 +3.5 * 2) 2*3.5 => 959
959 * 2 = Rs.1918
Answer: E
Answer: (E) s.1918
Question: If Jack walked 4 miles in 1 hour and 15 minutes, what was his rate of walking in miles per hour?
(A)  3.2
(B)  4.5
(C)  6
(D)  6.25
(E)  15
Rationale: Distance walked in 1 hour and 15 mins = 4 miles
Speed per hour = Distance/Time = 4/(5/4) = 3.2 miles per hour
Answer A
Answer: (A)  3.2
Question: The ratio between the length and the breadth of a rectangular park is 3 : 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is
(A) 153200
(B) 153400
(C) 153600
(D) 154000
(E) 154200
Rationale: Perimeter = Distance covered in 8 min. = 12000 x 8 m = 1600 m.
60
Let length = 3x metres and breadth = 2x metres.
Then, 2(3x + 2x) = 1600 or x = 160.
Length = 480 m and Breadth = 320 m.
Area = (480 x 320) m2 = 153600 m2.
C
Answer: (C) 153600
Question: If |5x-5| = 150, what is the sum of all the possible values of x?
(A) 2
(B) -2
(C) 6
(D) -3
(E) 5
Rationale: There will be two cases
5x-5= 150 or 5x-5= -150
=> x =31 or x= -29
sum of both the values will be -29 +31 = 2
Answer is A
Answer: (A) 2
Question: Salesperson A's compensation for any week is $360 plus 6 percent of the portion of A's total sales above $1,000 for that week. Salesperson B's compensation for any week is 10 percent of A's total sales for that week. For what amount of total weekly sales would both salepeople earn the same compensation?
(A) $21,000
(B) $18,000
(C) $15,00
(D) $ 4,500
(E) $15,000
Rationale: sometime, setting up an equation is an easy way to go with:
360 + 0.06 (x - 1000) = 0.1 x
x = 15,000
Ans : E
Answer: (E) $15,000
Question: John and Beth each drove from Smallville to Crown City by different routes. John drove an an average speed of 40 miles per hour and completed the trip in 30 minutes. Beth's route was 5 miles longer, and it took her 20 minutes more than John to complete the trip. How many miles per hour was Beth's average speed on this trip?
(A)  24
(B)  30
(C)  48
(D)  54
(E)  75
Rationale: Speed = Distance/Time
Distance for John = Speed * Time = 40 * 1/2 = 20 miles
Distance for Beth = Distance for John +5 = 20+5 = 25 miles
Time taken by Beth = Time taken by John + (1/3 hour) = 1/2+1/3 = 5/6
Speed of Beth = D/T = 25/(5/6) = 25*6/5 = 30 miles per hour
Hence, B is the answer.
Answer: (B)  30
Question: How many odd prime numbers are there less than 125?
(A) 29
(B) 34
(C) 44
(D) 54
(E) 64
Rationale: Odd prime number less than 125:3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113
There is 29 the odd prime number
Answer is A
Answer: (A) 29
Question: In a stack of boards at a lumber yard, the 8th board counting from the top of the stack is immediately below the 7th board counting from the bottom of the stack. how many boards are in the stack?
(A) 18
(B) 16
(C) 13
(D) 34
(E) 12
Rationale: 1 2 3 ...
..............8 7 ................. 1
So the number of boards = 8+5 =13
Option: C
Answer: (C) 13
Question: A fruit seller had some oranges. He sells 40% oranges and still has 600 oranges. How many oranges he had originally?
(A) 700
(B) 710
(C) 1000
(D) 730
(E) 740
Rationale: 60% of oranges = 600
100% of oranges =(600×100)/6=1000
total oranges = 1000
ANSWER : C
Answer: (C) 1000
Question: Calculate how much time could be saved if the train would run at its usual speed, given that it ran at 3/4 of its own speed and got to its destination in 10 hours?
(A) 1.5 hrs
(B) 2.5 hrs
(C) 3.5 hrs
(D) 1.2 hrs
(E) 2.9 hrs
Rationale: New speed = 3/4 of usual speed
New time = 3/4 of usual time
3/4 of usual time = 10 hrs
Usual time = 10*3/4 = 7.5 hrs
Time saved = 10-7.5 = 2.5 hrs
Answer is B
Answer: (B) 2.5 hrs
Question: The jogging track in a sports complex is 1000 meters in circumference. Deepak and his wife start from the same point and walk in opposite directions at 20 km/hr and 17 km/hr respectively. They will meet for the first time in?
(A) 50min
(B) 40min
(C) 35min
(D) 37min
(E) 20min
Rationale: Clearly, the two will meet when they are 1000 m apart
To be 20+17 = 37 km apart, they take 1 hour
To be 1000 m apart, they take 37 * 1000/1000 = 37 min.
Answer is D
Answer: (D) 37min
Question: In a factory, an average of 50 TV's are produced per day for the fist 25days of the months. A few workers fell ill for the next 5days reducing the daily avg for the month to 43 sets/day . The average production per day for day last 5days is ?
(A) 20
(B) 36
(C) 8
(D) 50
(E) 59
Rationale: Production during these 5 days = Total production in a month - production in first 25 days.
= 30 x 43 - 25 x 50
= 40
∴ Average for last 5 days = 40 / 5
= 8
C
Answer: (C) 8
Question: In how many different ways can five people be seated on a five-seat bench if two of them must sit next to each other?
(A) 24
(B) 48
(C) 120
(D) 240
(E) 480
Rationale: 5 people can sit in 5! ways.
If 2 of them must sit next to each other, they can sit in 4! ways.
Now, these 2 persons who sit next to each other , can sit in 2! ways.
Therefore, total different ways in which 5 people can sit are 2! x 4! = 48.
Correct answer is B.
Answer: (B) 48
Question: A survey was conducted to find out how many people in a housing colony of 144 residents could swim, dance and drive a car. It was found that the number of people who could not swim was 89, the number of people who could not dance was 100 and that the number of people who could not drive a car was 90. If the number of people who could do at least two of these things, was found to be 37 and the number of people who could do all these things was found to be 6, how many people could not do any of these things?
(A) 35
(B) 36
(C) 37
(D) 39
(E) 40
Rationale: T=n(A)+n(B)+n(C)-n(Exactly two of the events)-2*n(All 3 Events)+n(None of the events)
T=144
n(A)=T-n(A')=144-89=55
n(B)=T-n(B')=144-100=44
n(C)=T-n(C')=144-90=54
n(Exactly two of the events)=n(At least 2 Events)-n(All 3 Events)=37-6=31
n(All 3 Events)=6
144=55+44+54-31-2*6+n(None of the events)
n(None of the events)=144-55-44-54+31+12=39
Ans:D
Answer: (D) 39
Question: Working alone, Printers X, Y, and Z can do a certain printing job, consisting of a large number of pages, in 12, 20, and 20 hours, respectively. What is the ratio of the time it takes Printer X to do the job, working alone at its rate, to the time it takes Printers Y and Z to do the job, working together at their individual rates?
(A)  4/11
(B)  1/2
(C)  15/22
(D)  10/1
(E)  11/4
Rationale: P1 takes 12 hrs
Rate for P2P3 together = 1/20 + 1/20 = 1/10
Therefore they take 10
Ratio = 10/1 = D
Answer: (D)  10/1
Question: The average weight of 6 person's increases by 3.5 kg when a new person comes in place of one of them weighing 47 kg. What might be the weight of the new person?
(A) 60 kg
(B) 75 kg
(C) 68 kg
(D) 85 kg
(E) 90 kg
Rationale: Total weight increased = (6 x 3.5) kg = 21 kg.
Weight of new person = (47 + 21) kg = 68 kg
Option C
Answer: (C) 68 kg
Question: if k is a positive integer greater than 8, which of the following must be divisible by 4?
(A)  k(-1)(k+2)(k+3)
(B)  k(k-1)(k+3)(k+4)
(C)  k(k-3)(k+2)(k+4)
(D)  k(k-3)(k+2)(k+3)
(E)  k(k+1)(k+3)(k+4)
Rationale: D.
For any integer k, D is the only answer choice which will always be divisible by 4.
A product of 4 consecutive integers will always be divisible by 4. Since, none of the answer choices are a product of 4 consecutive integers, we have to ensure at least one of the integers is always a multiple of 4. The best way to do that is to ensure the answer choice isk* [(k-1)OR(k+3)] * [(k-2)OR(k+2)] * [(k-3)OR(k+1)]. (answer D)
Answer: (D)  k(k-3)(k+2)(k+3)
Question: Sometimes one is mystified at the starting reductions some people make in their price and wonders on what principle the reductions are based. To quote an example three years ago a friend offered me a used typewriter for $1024. A year later he offered me the same for $640 and last year he wanted $400 and now he is willing to sell it to me for $250. But I have decided to buy it when he reduces next time.
If he does a consistent reduction, at what price will he offer the typewriter to me next?
(A) $224.25
(B) $643.25
(C) $156.25
(D) $160.25
(E) $234.25
Rationale: C
$156.25
It is obvious that the seller of the typewriter follows the rule to reduce three-eights of the price at every reduction, and , therefore, after the consistent reduction, the typewriter should be next offered for $156.25.
Answer: (C) $156.25
Question: A train passes a station platform in 36 sec and a man standing on the platform in 20 sec. If the speed of the train is 54 km/hr. What is the length of the platform?
(A) 287 m
(B) 167 m
(C) 167 m
(D) 240 m
(E) 187 m
Rationale: 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)/36 = 15 => x
= 240 m.
Answer:D
Answer: (D) 240 m
Question: In how many different number of ways 3 boys and 1 girl can sit on a bench?
(A) 700
(B) 710
(C) 720
(D) 730
(E) 24
Rationale: npn = n!
4p4 = 4 Ã— 3 Ã— 2 Ã— 1 = 24
E
Answer: (E) 24
Question: Five years ago, the average age of A, B, C and D was 45 yr. with E joining them now, the average of all the five is 49 yr. How old is E?
(A) 25 yr
(B) 40 yr
(C) 45yr
(D) 64 yr
(E) NOne
Rationale: Solution:
Total present age of A, B, C and D,
= (45*4)+(4*5) = 200 yr;
Total age present age of A, B, C, D and E,
= 49*5 = 245 yr.
So, age of E = 45 yr.
Answer: Option C
Answer: (C) 45yr
Question: An internet recently hired 8 new network,in addvertisement 20 network already employed.All new network cam from university A.In addition 75%of computer addvertisement came from same university A.what fraction of original 20 network addvertisement came from same univerity A? pls help to solve
(A) 13/20
(B) 15/20
(C) 14/20
(D) 12/20
(E) 11/20
Rationale: New networks= 8
Already employed networks= 20
Total networks= 28
computer advt. from uni.A= 28*(75/100) =21
out 28 networks 21 came from uni.A
among these 21 we know 8 are newly hired
so 21-8=13 networks among previously employed networks came from uni.A
Answer is : 13/20
ANSWER:A
Answer: (A) 13/20
Question: The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77, find the other.
(A) 99
(B) 97
(C) 95
(D) 91
(E) 96
Rationale: Other number = 11 X 693/77 = 99
Answer is A.
Answer: (A) 99
Question: John, Karen, and Luke collected cans of vegetables for a food drive. The number of cans that John collected was 1/3 the number of cans that Karen collected and 1/4 the number of cans that Luke collected. The number of cans that Luke collected was what fraction of the total number of cans that John, Karen, and Luke collected?
(A)  1/5
(B)  1/3
(C)  2/5
(D)  1/2
(E)  2/3
Rationale: John = (1/3)Karen --> Karen = 3(John)
John = 1/4(Luke) --> Luke = 4(John)
Total = 12(John)
Luke/Total = 4/12 = 1/3
Answer: B
Answer: (B)  1/3
Question: 8 men and 14 women are working together in a field. After working for 3 days, 5 men and 8 women leave the work. How many more days will be required to complete the work ?
I. 19 men and 12 women together can complete the work in 18 days.
II. 16 men complete two-third of the work in 16 days
III. In a day, the work done by three men is equal to the work done by four women.
(A) I only
(B) II only
(C) III only
(D) I or II or III
(E) None of these
Rationale: Sol.(d) Clearly, I only gives the answer
Similarly, II only gives the answer
And, III only gives the answer
Answer D
Answer: (D) I or II or III
Question: What is the total gain or loss if a merchant sold two items for Rs.2100 each, and makes a profit of 18% from the first item and a loss of 15% from the second item.
(A) 12.7
(B) 3.7
(C) 5.7
(D) 2.7
(E) 1.7
Rationale: (18*15)/100 = 2.7%
Answer: D
Answer: (D) 2.7
Question: If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the third part is?
(A) A)426
(B) B)306
(C) C)207
(D) D)204
(E) E)297
Rationale: Given ratio
= 1/2:2/3:3/4 = 6:8:9
1st part = 782 * 9/23
= Rs. 306.
Answer:B
Answer: (B) B)306
Question: Three consecutive even numbers are such that thrice the first number exceeds double the third number by four. What is the third number?
(A) 10
(B) 12
(C) 14
(D) 16
(E) 18
Rationale: Let the three numbers be x, x+2, and x+4.
3x = 2(x+4) + 4
x = 12 and then the third number is x+4 = 16.
The answer is D.
Answer: (D) 16
Question: What is the largest number of infinite lines that intersect at exactly two vertices?
(A) 3
(B) 4
(C) 5
(D) 6
(E) Any number of lines may intersect at exactly two vertices.
Rationale: Point where minimum two lines intersect is called a vertex.
So Maximum of 3 lines can intersect at two vertices.
ANSWER:A
Answer: (A) 3
Question: A river 2m deep and 45 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is?
(A) 3000 M3
(B) 4580 M3
(C) 18500 M3
(D) 4900 M3
(E) 4700 M3
Rationale: Explanation:
(2000 * 2 * 45)/60 = 3000 M3
Answer: Option A
Answer: (A) 3000 M3
Question: A family consists of 2 man, 2 women and 3 transgender. The average age of the man is 67 years, that of the women is 35 years and that of the transgender is 6 years. What is the average age of the family?
(A) 20 1/5
(B) 21 2/7
(C) 31 5/7
(D) 35 4/5
(E) 35 7/11
Rationale: Required average
= 67 x 2 + 35 x 2 + 6 x 3
2 + 2 + 3
= 134 + 70 + 18
7
=	222
7
= 31 5/7 years
C
Answer: (C) 31 5/7
Question: How many seconds will it take for a car that is traveling at a constant rate of 90 miles per hour to travel a distance of 22 yards?	(1 mile = 1,160 yards)
(A) 0.8
(B) 0.5
(C) 1.0
(D) 1.1
(E) 1.2
Rationale: speed = 90 miles/hr = 44 yard/s
distance = 22 yards
time = distance/speed
=22/44
=0.5 sec
ans - B
Answer: (B) 0.5
Question: Sum of the two number is 14 and difference of their square is 28. Find the numbers.
(A) 8 and 6
(B) 9 and 5
(C) 4 and 10
(D) 3 and 10
(E) 2 and 10
Rationale: Explanation:
Let the number be x & y.
x + y = 14
x2 - y2 = 28
(x + y)(x - y) = x2 - y2
14(x - y) = 28
x - y = 2 ----------(1)
x + y = 14
x - y = 2
------------------
2x = 16
x = 8
Therefore y = 6
x = 8 and y = 6
Answer: Option A
Answer: (A) 8 and 6
Question: When x is multiplied by 3, the result is 14 more than the result of subtracting x from 26. What is the value of x?
(A) 10
(B) -2
(C) 11
(D) 13
(E) 22
Rationale: The equation that can be formed is:
3x-14=26-x
or, 4x=40
or, x=10.
A answer.
Answer: (A) 10
Question: There are 35 kids in a play school. 26 kids play with white color balls and some kids play with yellow color balls and 19 kids play with both color balls. How many kids use yellow color balls?
(A) 12
(B) 32
(C) 5
(D) 28
(E) 30
Rationale: number of kids playing with white color balls = 26
total number of kids in the play school = 35
number of kids playing with both white and yellow color balls = 19
we have to find,
number of kids playing with yellow color balls
35 = 26 + n(B) - 19
35 + 19 - 26 = 28
Hence, Answer is 28 kids play with yellow color
balls. ANSWER D
Answer: (D) 28
Question: One hour after Matthew started waking from r to y, a distance of 45km, Johnny started walking along the same road from y to r. Matthew's walking rate was 3 km per hour and Johnny's was 4km per hour, how many km had Johnny walked when they met?
(A) 24
(B) 23
(C) 22
(D) 21
(E) 19.5
Rationale: Just an alternative method...
After the first hour the distance r is 42 km (45-3). Now the problem can be treated as if bothof them started at the same time. Since the speeds are in the ratio 3 : 4, the distances will also be in the same ratio. Splitting 42 in that ratio we get 18 : 24. So answer is 24.
Hence A.
Answer: (A) 24
Question: When positive integer n is divided by 5, the remainder is 1. When n is divided by 7, the remainder is 3. What is the smallest positive integer k such that k+n is a multiple of 37?
(A) 3
(B) 4
(C) 12
(D) 6
(E) 35
Rationale: n = 5p + 1 = 6,11,16,21,26,31
n = 7q + 3 = 3,10,17,24,31
=>n = 37m + 31
To get this, we need to take LCM of co-efficients of p and q and first common number in series.
So we need to add 6 more to make it
37m + 36
Answer - D
Answer: (D) 6
Question: Danny and Steve are running towards each other, each one from his own house. Danny can reach Steve's house in 27 minutes of running, which is half the time it takes Steve to reach Danny's house. If the two started to run at the same time, how much time longer will it take Steve to reach the halfway point between their houses than Danny to reach the halfway point between their houses?
(A) 13.5 minutes
(B) 27 minutes
(C) 35 minutes
(D) 54 minutes
(E) 81 minutes
Rationale: Danny's time is 27 minutes. The time to reach halfway is 13.5 minutes.
Steve's time is 54 minutes. The time to reach halfway is 27 minutes.
The time difference is 27 - 13.5 = 13.5 minutes
The answer is A.
Answer: (A) 13.5 minutes
Question: If the price of gold increases by 50%, find by how much the quantity of ornaments must be reduced, so that the expenditure may remain the same as before?
(A) 27 2/23 %
(B) 33 1/3 %
(C) 30%
(D) 19%
(E) 25%
Rationale: Explanation:
100
150
------
150-------50
100-------? => 331/3%
ANSWER IS B
Answer: (B) 33 1/3 %
Question: If A can be complete the piece of work in 10 days and B can complete the same piece of work in 20 days.In how many days the work can be complete if both are work together?
(A) 20/3
(B) 3/20
(C) 18/20
(D) 9/5
(E) 19/5
Rationale: A's one day work=1/10
B's one day work=1/20
The question is If A and B work together, then how many days that will complete?
A+B=1/10+1/20=3/20(one day work)
20/3 days could complete their work.
The answer is option A
Answer: (A) 20/3
Question: Sum of two numbers is 40. Two times of the first exceeds by 5 from the three times of the other. Then the numbers will be?
(A) 26, 14
(B) 23, 17
(C) 17, 23
(D) 14, 26
(E) 15, 25
Rationale: Explanation:
x + y = 15
3Y Ã¢â‚¬â€œ 2x = 5
x = 23 y = 17
Answer: B
Answer: (B) 23, 17
Question: A can do a piece of work in 8 days. He works at it for 4 days and then B finishes it in 6 days. In how many days can A and B together finish the work?
(A) 4.1 days
(B) 4.8 days
(C) 3.8 days
(D) 2.8 days
(E) 4.5 days
Rationale: 4/8 + 6/x = 1 => x = 12
1/8 + 1/12 = 5/24 => 4.8 days
ANSWER:B
Answer: (B) 4.8 days
Question: A bus stops for taking passengers. The speed of the bus with stoppages is 36 km/hr and without stoppages is 45 km/hr.For how many minutes bus stopped per hour?
(A) 10 min
(B) 11 min
(C) 12 min
(D) 13 min
(E) None of these
Rationale: Explanation :
It takes 9 km less due to stoppages. Time spend in stoppages=(9/45)*60=12 min
Answer : C
Answer: (C) 12 min
Question: Bert left the house with N dollars. He spent 1/4 of this at the hardware store, then $7 at the dry cleaners, and then half of what was left at the grocery store. When he got home, he had $19 left in his pocket. What was the value of N?
(A) $36
(B) $44
(C) $52
(D) $60
(E) $68
Rationale: started to test answer D
if he had 60, then he spent 15 at hardware store
now he was left with 45$
he spent 7 dollars on cleaning, thus he remained with 38$
he then spent 1/2 of 38, or 19, and was left with 19.
hence, the only option that can be right is A.
Answer: (A) $36
Question: A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets Rs. 1200 more than D, what is B's share?
(A) Rs. 500
(B) Rs. 1500
(C) Rs. 2000
(D) Rs. 2400
(E) none of the above
Rationale: Let the shares of A, B, C and D be Rs. 5x, Rs. 2x, Rs. 4x and Rs. 3x respectively.
Then, 4x - 3x = 1200
x = 1200.
B's share = Rs. 2x = Rs. (2 x 1200) = Rs. 2400.
Answer = D
Answer: (D) Rs. 2400
Question: Crew A can build a complete car in 20 minutes and Crew B can build a complete car in 25 minutes. If both crews work independently and start at the same time, what is the shortest amount of time G it could take for 10 cars to be complete?
(A) 111 1/9 minutes
(B) 115 2/5 minutes
(C) 116 minutes
(D) 120 minutes
(E) 125 minutes
Rationale: A builds 4 cars in 80 min
B builds 4 cars in 100 min
So A builds another car in another 20 min (i.e total 5 cars)
B builds another car in another 25 minutes (i.e, total 5 cars)
However, A can build another car in next 20 min (i.e total 6 cars)
So total time G= 125 min by B, which is > 120 min by A
B - 4 cars, A - 6 cars
Answer = D
Answer: (D) 120 minutes
Question: An design manager has 10patterns of chairs & 5patterns of tables. In how many ways can he make a pair of table & chair?
(A) 20
(B) 40
(C) 50
(D) 90
(E) 100
Rationale: He has has ten patterns of chairs and eight patterns of tables
Hence, A chair can be arranged in 10 ways and
A table can be arranged in 5 ways
Hence one chair and one table can be arranged in 10 x 5 ways = 50 ways
C
Answer: (C) 50
Question: An unbiased die is tossed .find the probability of getting a multiple of 3
(A) 4/3
(B) 5/7
(C) 1/3
(D) 3/5
(E) 2/3
Rationale: . Here S={1,2,3,4,5,6}
Let E be the event of getting the multiple of 3
then ,E={3,6}
P(E)=n(E)/n(S)=2/6=1/3
Ans: C
Answer: (C) 1/3
Question: The product of three consecutive numbers is 504. Then the sum of the smallest two numbers is ?
(A) 11
(B) 15
(C) 20
(D) 38
(E) 56
Rationale: Product of three numbers = 504
504 = 7 * 8 * 9.
So, the three numbers are 7, 8 and 9.
And Sum of smallest of these two = 7+8 = 15.
ANSWER : OPTION B
Answer: (B) 15
Question: A, B, C subscribe Rs. 50,000 for a business. If A subscribes Rs. 4000 more than B and B Rs. 5000 more than C, out of a total profit of Rs. 37,000, what will be the amount A receives?
(A) 14700
(B) 14500
(C) 14900
(D) 14300
(E) 15540
Rationale: Total amount invested = 50000
Assume that investment of C =x.
Then investment of B =5000+x,
Investment of A =4000+5000+x=9000+x
x+5000+x+9000+x=50000
⇒3x+14000=50000
⇒3x=50000–14000=36000
⇒x=36000/3=12000
Investment of C =x=12000
Investment of B =5000+x=17000
Investment of A =9000+x=21000
Ratio of the investment of A, B and C
=21000:17000:12000
=21:17:12
Share of A = Total profit ×21/50
=37000×21/50=15540
Answer is E
Answer: (E) 15540
Question: 4 men and 12 boys finish a piece of work in 4 days, 7 men and 6 boys do it in 5 days. The ratio between the efficiencies of a man and boy is?
(A) 18:19
(B) 17:19
(C) 15:19
(D) 18:14
(E) 18:11
Rationale: 4M + 12B ----- 4 days
7M + 6B ------- 5 days
16M + 48B = 35M + 30B
18B = 19M => 5M = 6B
M: B = 18:19
ANSWER:A
Answer: (A) 18:19