IBPS Clerk/RRB 2016 - Practice Quantitative Aptitude Questions (Arithmetic) Set-54:
Dear Readers, Important Practice Aptitude Questions for IBPS Clerk and Upcoming Exams was given here with Solutions. Aspirants those who are preparing for the examination can use this.
Direction (1 to 10):
Direction (1 to 10):
1). Two friends Sandeep and Kanha are moving in the same direction at 40 kmph and 15 kmph, respectively. Kanha is ahead of Sandeep. The distance between them is 150 km. Third friend Kavita moving in the same direction is approaching Sandeep at the speed of 48 kmph. The distance between Kavita and Sandeep is 56 km. What is the distance (in km) between Kanha and Sandeep when Kavita and Sandeep meet?
a) 15 km
b) 20 km
c) 25 km
d) 30 km
e) 35 km
2). Ram goes to the supermarket and buys chocolates, chips and pastries in the ratio of 7:13:19 respectively. The cost of chips, pastries and chocolates is in the ratio 7:11:23 respectively. What percentage of the expenses in the supermarket was from chocolates?
a) 28%
b) 32%
c) 35%
d) 40%
e) Cannot be determined
3). Rs. 600 amounts to Rs. 661.50 in 2 years with Compound Interest. At the same rate, how much will Rs. 8000 amount to 3 years?
a) Rs. 8779
b) Rs. 9143.10
c) Rs. 9294.50
d) Rs. 9445
e) None of the Above
4). By adding 5 students of average weight 25kgs, the average weight of the class drops by 3 kgs. If 5 students whose average weight is 25 kgs are removed from the class, the average weight of the class goes by 5 kgs. What is the average weight of the class?
e) Cannot be determined
5). A cow is tethered in the middle of a field with a 14 feet long rope. If the cow grazes 100 sq. ft. per day, then approximately what time will be taken by the cow to graze the whole field?
a) 2 days
b) 6 days
c) 10 days
d) 14 days
e) 20 days
6). The chances of getting delivery on time from 3 ecommerce sites on time is 0.4, 0.5, 0.7. If karthik places an order on all 3, what is the probability that at least on of the ecommerce sites delivers on time?
a) 0.14
b) 0.57
c) 0.74
d) 0.91
e) None of these
7). An article when sold at Rs. 240 makes a profit of 20%. What should the selling price be if the cost of the article goes by 25%, and 60% more profit than earlier is to be made?
a) 280
b) 300
c) 320
d) 340
e) None of the Above
8). Two taps can fill a tank in 20 minutes and 30 minutes respectively. There is an outlet tap at exactly half level of that rectangular tank which can pump out 50 litres of water per minute. If the outlet tap is open, then it takes 24 minutes to fill an empty tank. What is the volume of the tank?
a) 900 litres
b) 1800 litres
c) 1200 litres
d) 2400 litres
e) 3600 litres
9). The ratio of speed of A and B is 2:3 and A takes 10 minutes more than the time taken by B to reach a destination. If A had walked at triple the speed, and B at half the speed, the difference between time taken by A and B will be:
a) 15 minutes
b) 20 minutes
c) 25 minutes
d) 30 minutes
e) Cannot be determined
10). An outgoing batch of students wants to gift PA system worth Rs.4200 to their school. If the teachers offer to pay 50% more than the students, and the principal gives three times the teachers contribution, how much should the teachers donate?
a) 600
b) 750
c) 900
d) 1200
e) None of the Above
Detailed Solution with Answer Key:
1). This is a simple question of relative speed. Time taken by Kavita to reach Sandeep = 56/(48 - 40) = 7 hr Distance between Sandeep and Kanha after this time = (40 - 15) 7 = 175 km.
This means that Sandeep has crossed Kanha much before Kavita and Sandeep meet. Now the distance between them would be, (175- 150) = 25 km.
Answer: C)
2). Let Ram buy 7X, 13X, 19X chocolates, chips and pastries respectively. Let the cost of the chocolates, chips and pastries be 23Y, 7Y, 11Y respectively. Total expenses = XY (23 x 7 + 7 x 13 + 11 x 19)
percentage expenses from chocolates = 100 x (23Y x 7X)/ (XY (23 x 7 + 7 x 13 + 11 x 19))
= 161 x 100/(161 + 91 + 209)
= 161 x 100/461
= Approx. 35%.
Answer: C)
3). 661.5/600 = (1 + r/100)2
661.5/600 = 441/400 = (21/20) x (21/20) = (1 + r/100)2
8000 will become : 8000 x 1.053 = Rs. 9261
Answer: E)
4). Let total students be x, average y Total weight initially = xy
Given: (xy + 5 x 25)/(x+5) = y - 3
Or, 5y - 3x = 140
Given: (xy - 5x25)/(x-5) = y + 5
5y- 5x= 100 or y=x+ 20
Using this: 5y - 3x = 5(x+20) -3x = 2x + 100 = 140
or x= 20,y= 40
So average weight = 40 kgs.
Answer: D)
5). Area of the field the cow can graze = ￗ x 142= (22/7) x 14 x 14 = 616 sq ft. Number of days = 616/100
= Approx. 6 days.
Answer: B)
6). Required Probability = 1 - no ecommerce site delivers on time
=1 –(1 - 0.4) x (1 -0.5) x (1 -0.7)
= 1 - 0.6 x 0.5 x 0.3
= 1 - 0.09 = 0.91
Answer: D)
7). 240 = 20% profit
So, CP of article = 240x100/120 = Rs. 200 and profit = Rs. 40.
Now new CP = 200 x 1.25 = Rs. 250, Desired Profit = 40 x 1.6 = 64.
So new SP = 250 + 64 = 314.
Answer: E)
8). When both the pipes are open, portion of the tank filled in 1 minute = 1/20 + 1/30 = 1/12. Hence, it takes 12 minutes to fill the tank. Therefore, half tank will be filled in 6 minutes. Time taken to fill the remaining half of the tank with outlet pipe = 24 - 6 = 18 minutes.
Let the portion of the tank leaked in one minute be 1/a. Now, the second half of the tank gets filled in 18 minutes. So, 18(1/20 + 1/30 - 1/a) = ½
1/12 - 1/a = 1/36 Or 1/a = 1/18.
Hence the leakage pipe can empty the full tank in 18 minutes. It pumps out 50 litres of water per minute. Therefore the capacity of the tank is 900 litres.
Answer: A)
9). speed in ratio = 2:3,
Distance is same. So, time of A and B will be in the ratio = 3:2
difference =10 min, so time taken by A = 30 min, B = 20 min.
If A walks at triple the speed, time taken by A = 30/3 = 10 min
If B walks at half the speed, time taken by B = 20 x 2 = 40 min Difference = 40 -10 = 30 min.
Answer: D)
10). Let Students contribution be S, Teachers = 1.5S, principal's contribution = 4.5S Given S + 1.5S + 4.5S = 7S = Rs. 4200.
S = 600. Teachers contribution = 1.5S = Rs. 900
Answer: C)
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