# Aptitude And Pi Test

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Questions: 15 | Attempts: 69

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Questions 1 to 10 contains Aptitude Questions
Question 11 to 15 contain PI Questions
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• 1.

### Walking 6/7th of his usual speed, a man is 12 minutes too late. What is the usual time taken by him to cover that distance?

• A.

1 hr 42 min

• B.

1 hr 12 min

• C.

1 hr

• D.

2 hr

B. 1 hr 12 min
Explanation
New speed = 6/7 of usual speed

Speed and time are inversely proportional.

Hence new time = 7/6 of usual time

Hence, 7/6 of usual time - usual time = 12 minutes

=> 1/6 of usual time = 12 minutes

=> usual time = 12 x 6 = 72 minutes = 1 hour 12 minutes

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• 2.

### The compound interest on Rs. 30,000 at 7% per annum is Rs. 4347. The period (in years) is:

• A.

1

• B.

2

• C.

3

• D.

3.5

B. 2
Explanation
Let the period be n years

Then, amount after n years = Rs.(30000 + 4347) = Rs. 34347

P(1+R/100)T=34347

30000(1+7/100)n=34347

30000(107/100)n=34347

(107/100)n=34347/30000=11449/10000=(107/100)2

n=2 years

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• 3.

### A and B walk around a circular track. A and B walk at a speed of 2 rounds per hour and 3 rounds per hour respectively. If they start at 8 a.m. from the same point in opposite directions, how many times shall they cross each other before 9.30 a.m.?

• A.

5

• B.

6

• C.

7

• D.

8

C. 7
Explanation
Relative speed = Speed of A + Speed of B (∴ they walk in opposite directions)

= 2 + 3 = 5 rounds per hour

=> They cross each other 5 times in 1 hour and 2 times in 1/2 hour

Time duration from 8 am to 9.30 am = 1.5 hour

Hence they cross each other 7 times before 9.30 am

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• 4.

### P is able to do a piece of work in 15 days and Q can do the same work in 20 days. If they can work together for 4 days, what is the fraction of work left?

• A.

8/15

• B.

7/15

• C.

6/15

• D.

11/15

A. 8/15
Explanation
Amount of work P can do in 1 day = 1/15

Amount of work Q can do in 1 day = 1/20

Amount of work P and Q can do in 1 day = 1/15 + 1/20 = 7/60

Amount of work P and Q can together do in 4 days = 4 × (7/60) = 7/15

Fraction of work left = 1 – 7/15= 8/15

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• 5.

### P and Q need 8 days to complete a work. Q and R need 12 days to complete the same work. But P, Q and R together can finish it in 6 days. How many days will be needed if P and R together do it?

• A.

3

• B.

8

• C.

12

• D.

4

B. 8
Explanation
Let work done by P in 1 day = p

work done by Q in 1 day =q

Work done by R in 1 day = r

p + q = 1/8 ---(1)

q + r= 1/12 ---(2)

p+ q+ r = 1/6 ---(3)

(3) – (2) => p = 1/6 - 1/12 = 1/12

(3) – (1) => r = 1/6 – 1/8 = 1/24

p + r = 1/12 + 1/24 = 3/24 = 1/8

=> P and R will finish the work in 8 days

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• 6.

### A batsman scored 110 runs which included 3 boundaries and 8 sixes. What percent of his total score did he make by running between the wickets?

• A.

45 5/11 %

• B.

45

• C.

46

• D.

44

A. 45 5/11 %
Explanation
Number of runs made by running = 110 - (3 x 4 + 8 x 6)

= 110 - (60)

= 50.

Required percentage = 50 x 100 % = 45 5 % 110 11

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• 7.

### If A = x% of y and B = y% of x, then which of the following is true?

• A.

A is smaller than B.

• B.

A is greater than B

• C.

Relationship between A and B cannot be determined.

• D.

None of these

D. None of these
Explanation
x% of y = x x y = y x x = y% of x 100 100

A = B.

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• 8.

### Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds. The ratio of their speeds is:

• A.

1:2

• B.

3:2

• C.

3:4

• D.

2:6

B. 3:2
Explanation
The ratio of the speeds of the two trains can be determined by comparing the time it takes for them to cross the man on the platform. Since the trains are running in opposite directions, their relative speed is the sum of their individual speeds. Let's assume the speed of the first train is x and the speed of the second train is y. According to the given information, the first train crosses the man in 27 seconds and the second train crosses him in 17 seconds. Therefore, the equation becomes x + y = 27 and x - y = 17. By solving these equations, we get x = 20 and y = 7. Thus, the ratio of their speeds is 20:7, which simplifies to 3:2.

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• 9.

### Today is Monday. After 61 days, it will be:

• A.

Wednesday

• B.

Saturday

• C.

Sunday

• D.

Friday

B. Saturday
Explanation
Each day of the week is repeated after 7 days.

So, after 63 days, it will be Monday.

After 61 days, it will be Saturday.

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• 10.

### It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010?

• A.

Friday

• B.

Saturday

• C.

Thursday

• D.

Sunday

A. Friday
Explanation
On 31st December, 2005 it was Saturday.

Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.

On 31st December 2009, it was Thursday.

Thus, on 1st Jan, 2010 it is Friday.

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• 11.

N/A
• 12.

N/A
• 13.

N/A
• 14.

N/A
• 15.

### What if you don't get selected today?

N/A

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• Current Version
• Mar 16, 2023
Quiz Edited by
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• Nov 03, 2015
Quiz Created by
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