SBI PO Prelims 2017: Quantitative Aptitude Quiz – Set 17 | Word Problems & Caselet DI

1. Find the compound interest on Rs. 77500 in two years, the
rate of interest being 10% for the first year and 12% for the second year.

1) Rs. 16840

2) Rs. 17980

3) Rs. 18260

4) Rs. 18840

5) None of these

2. Pipe X is 3 times faster than Pipe Y in filling a tank.
If Pipe Y can fill the tank in 20 minutes, then how long will it take to fill
the tank if both pipes are opened together?

1) 5 minutes

2) 8 minutes

3) 10 minutes

4) 12 minutes

5) None of these

3. There are 16 students in a class. Find the number of ways
in which 5 students can be chosen to form a group.

1) 80

2) 524160

3) 4368

4) 21840

5) None of these

4. A bag contains 4 green, 5 red and 7 white balls. Three balls
are drawn randomly. What is the probability that all three drawn balls are of
different colours?

1) ¼  

2) ¾  

3) 5/17

4) 15/17

 5) 3/16

5. A man can swim a certain distance downstream in 2 hours
and return in 7 hours. If the rate of stream is 5 kmph then what is the speed
of man in still water?

1) 7 kmph

2) 8 kmph

3) 9 kmph

4) 10 kmph

5) 11 kmph

Directions (Q. 6-10):
Study the following information carefully and answer the questions given below:

There are a certain number of
students who appeared in the state-level engineering examination conducted in
three different States A, B and C. All of them have cleared at least one
state’s exam. 39.4% students cleared State A’s exam, 41.4% students cleared State
B’s exam and 53.6% students cleared State C’s exam. 8% students cleared only
State A’s and State B’s exam, 7% students cleared only State B’s and State C’s
exam and 9.8% students cleared only State A’s and State C’s exam. If the total
number of students in the group is 500 then answer the following questions.

6. How many students cleared all three state-level examinations?

1) 16

2) 14

3) 32

4) 36

5) 48

7. What is the percentage of students who cleared the only
examination conducted by State A?

1) 12.4%

2) 14.6%

3) 16.8%

4) 18%

5) 24%

8. How many students are there who cleared examinations
conducted by at least two states?

1) 148

2) 142

3) 136

4) 132

5) 128

9. What is the percentage of students who cleared the exam
conducted by State B but couldn’t clear the exam conducted by State C?

1) 23.4%

2) 21.6%

3) 27%

4) 28.4%

5) 29.6%

10. How many students are there who have cleared at most one
exam conducted by these three states?

1) 168

2) 204

3) 308

4) 352

5) 376

Answers:

1. 2
2. 1
3. 3
4. 1
5. 3
6. 2
7. 3
8. 1
9. 5
10. 4

Explanations 6-10:

x + k = 197 – (40 + 49) = 108 … (i)
y + k = 207 – (40 + 35) = 132 … (ii)
z + k = 268 – (49 + 35) = 184 … (iii)
x + y + z + k = 500 – (40 + 49 + 35)
= 376 … (iv)
Now, equation (i) + (ii) + (iii) – equation (iv) gives
k = 24
x = 84, y = 108 and z = 160