*Hello and welcome to ***exampundit**. Here is a set of Quantitative Aptitude Quiz for SBI PO Prelims based on Word Problems and 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.

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?

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.

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?

are drawn randomly. What is the probability that all three drawn balls are of

different colours?

1) Â¼

2) Â¾

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?

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

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**Directions (Q. 6-10):**

Study the following information carefully and answer the questions given below:

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

stateâ€™s exam. 39.4% students cleared State Aâ€™s exam, 41.4% students cleared State

Bâ€™s exam and 53.6% students cleared State Câ€™s exam. 8% students cleared only

State Aâ€™s and State Bâ€™s exam, 7% students cleared only State Bâ€™s and State Câ€™s

exam and 9.8% students cleared only State Aâ€™s and State Câ€™s exam. If the total

number of students in the group is 500 then answer the following questions.

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

stateâ€™s exam. 39.4% students cleared State Aâ€™s exam, 41.4% students cleared State

Bâ€™s exam and 53.6% students cleared State Câ€™s exam. 8% students cleared only

State Aâ€™s and State Bâ€™s exam, 7% students cleared only State Bâ€™s and State Câ€™s

exam and 9.8% students cleared only State Aâ€™s and State Câ€™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?

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?

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 couldnâ€™t clear the exam conducted by State C?

conducted by State B but couldnâ€™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?

exam conducted by these three states?

1) 168

2) 204

3) 308

4) 352

5) 376

Answers:

- 2
- 1
- 3
- 1
- 3
- 2
- 3
- 1
- 5
- 4

Explanations 6-10:

x + k = 197 â€“ (40 + 49) = 108 … (i)

y + k = 207 â€“ (40 + 35) = 132 … (ii)

z + k = 268 â€“ (49 + 35) = 184 … (iii)

x + y + z + k = 500 â€“ (40 + 49 + 35)

= 376 … (iv)

Now, equation (i) + (ii) + (iii) â€“ equation (iv) gives

k = 24

x = 84, y = 108 and z = 160

####
**ep**

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