Practice Quantitative Aptitude Questions For Upcoming Exams (Application Problems) Set-98:
Dear Readers, Important Practice Aptitude Questions for Upcoming Exams was given here with Solutions. Aspirants those who are preparing for the Bank Examination and other Competitive Examination can use this.
1).25 men can take 30 days to make 200 toys by working 6 hours/day. Find another group of 20 men can take how many days to make 400 toys by working 5 hours/day but efficiency of the first group is 3/2 times of the 2nd group ?
1).25 men can take 30 days to make 200 toys by working 6 hours/day. Find another group of 20 men can take how many days to make 400 toys by working 5 hours/day but efficiency of the first group is 3/2 times of the 2nd group ?
a) 90 days
b) 45 days
c) 135 days
d) 40 days
e) None of these
2).A certain amount becomes triple in 5 years. This amount becomes 27 times in how many years if the interest is same ?
a) 15 years
b) 65 years
c) 45 years
d) 60 years
e) None of these
3).A group of 4 boys and 2 men can finish a work in 6 days, while another group of 5 boys and 6 men can 12 days finish the work in 4 days. In how many days 2 men and 4 boys will finish the work ?
a) 5 days
b) 12 days
c) 6 days
d) 2 days
e) None of these
4).In a printing shop, 25 men can print a book of counting 200 pages in 30 days while working 6 hours per day, this book contains, 10 lines per page and each line contains 20 words. Find how many days another group of 30 men will take to print a book of 400 pages while working 5 hours per day. While this book contains 20 lines per page and each line contains 10 words. The efficiency of first group is 50% more then the second group ?
a) 45 days
b) 90 days
c) 65 days
d) 40 days
e) None of these
5).Tap A can empty a tank in 12 hours, while tap B can fill 5 liters water/minute in tank. If both taps open together the tank emptied in 15 hours. Find the capacity of the tank ?
a) 20,000 liters
b) 18000 liters
c) 19000 liters
d) 17500 liters
e) None of these
6).When price of milk increased by 25% by what percentage a household should reduce consumption of the milk, so that total expenditure increased by only 10% ?
a) 15 %
b) 16 %
c) 18 %
d) 12 %
e) None of these
7).If a shopkeeper sales a cow at 16 2/3% profit and a buffalo at 12 1/2 % loss, he gains Rs. 30 in whole transaction. If he sales a cow at 12 ½ % loss and the buffalo at 16 2/3% profit he neither gains nor losses. Find sum of their prices ?
a) Rs. 620
b) Rs. 720
c) Rs. 725
d) Rs. 625
e) None of these
8).When a train is running at a speed of 7/11 of its usual speed, it takes 22 hours to cover a certain distance. Find the actual time to cover the certain distance ?
a) 14 hours
b) 8 hours
c) 20 hours
d) 12 hours
e) None of these
9).Three taps A, B and C can file a tank in 12 hours, 15 hours and 20 hours respectively. First tap opened at 7 am., 2nd tap opened at 10 am. and 3rd tap opened at 11 am. At what time the tank will fill completely ?
a) 3 pm.
b) 2 pm.
c) 6 pm.
d) 1 pm.
e) None of these
10).Two trains running in opposite directions cross a man standing on platform in 28 sec and 15 sec respectively, and they cross to each other in 22 sec. Find the ratio of their speed ?
a) 6 : 7
b) 7 : 6
c) 4 : 3
d) 5 : 7
e) None of these
1) c 2) b 3) c 4) b 5) b 6) d 7) b 8) a 9) b 10) b
1). C) (25 × 30 × 6 × 3) / 200 = (21 × D × 5 × 2)/400
D = 135 days
3). C) (4B +2M )6 = (5B + 6M )4
4B = 12m = [(12M + 2M) ×6] / (2M + 12M) = (14M × 6)/14M = 6 days
4). B)(25 × 30 × 6 × 3) / (200 × 10 × 20) = (30× D × 5 × 2) / (400 × 2 0× 10)
D = 90 days
5). B) Work done by pipe B in 1 hours
Let capacity of tank = x liter
Pipe B can fill it in x/300 hr
(1/12) – (300/x) = 1/12 à( 1/12) – (1/15) = 300/x
1/60 = 300/x
x = 300×60 = 18000 liters
6). D) Old price = 100, New price = 125
Price = 4 : 5, Quantity = 5 : 4.4
Expenditure = Price × Quantity = 4×5 = (20 × 110) / 100
22/5 = 4.4, (0.6/5) × 100 = 12%
8). A) New speed = 7/11 of the usual speed
New time taken = 11/7 of the usual time
22 = 11/7 of the usual time,
usual time = 14hrs.
9). B) A opened for ( 7 – 11)am. = 4hrs.
B opened for ( 10 – 11)am = 1hrs.
(4/12) + (1/15) + (4t/20) = 1, (20 + 4 + 12t) / 60 , 12t = 36
t = 3 hrs. After 11am, i.e - 2:00 pm
10). B) Let speed of the train is x and y m/sec.
Length of first train = 28x
Length of Second train = 15y sec.
(28x + 15y) / (x + y) = 22
28x + 15 y = 22x + 22y
6x = 7y , x : y = 7 : 6
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