CLAT Maths Quiz 28: Answers and Explanations, Quizzes of Public Law

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Maths Questions for CLAT Exam

CLAT Maths Quiz 28

Directions: Read the following Questions carefully and choose the right answer:

1. A trader marked the price of a commodity in order to obtain the profit of 25% on the cost price, but allowed a discount of 16% on the marked price. His actual profit will be:

A. 16% B. 25%

C. 5% D. 9%

2. Two persons can complete a piece of work in 9 days. How many persons are needed to complete double of the same work in 12 days?

A. 5 B. 4

C. 3 D. 2

3. A can row a certain distance downstream in 6 hours & returns the same distance in 1.5 times the time taken in downstream. If stream flows at rate of 2.25 km/hr find how far he can row in an hour in still water (in km/hr).

A. 10.25 B. 11.

C. 12.25 D. 12.

4. Find the maximum number of trees which can be planted 20 metres apart on both the sides of a straight road 1960 meter long.

A. 152 B. 198

C. 196 D. 200

5. A man's present age is 405% of what it was 10 years ago and 500/3% of what it will be after 10 years. Calculate the present age (approximate).

A. 22 years B. 24 years

C. 26 years D. 28 years

Correct Answers:

1 2 3 4 5 6 7 8 9 10 C C B B B D C A B A

Explanations:

1. Let CP of the commodity be Rs. 100.

So marked price = 25% of 100 + 100 = 125

As the discount of 16% is given on marked price

So, Selling price = 84% of 125

= 10084 × 125 = 21 × 5 = 105

∴ Profit % = SP^ CP–^ CP^ × 100

∴ Profit % = 105100 –^100 × 100 = 5%

Hence, option (C) is correct.

2. Applying the Chain rule,

w1 (^) = w m1d1 m2d

Where,

w1 - Initial work

w2 - Double of the initial work.

m1 - No. of man persons employed initially.

m2 - No. of persons employed to do double of the initial work.

d1 - No. of days required to finish the initial work.

d2 - No. of days required to finish the double work.

w1 (^) = 2 w 9 × 2 12 × m

m2 = 9 × 2 × 2 12 = 93 = 3

So, No. of persons required to do double of the initial work = 3

Hence, option (C) is correct.

3. Let speed of A in still water = x km/hr,

Speed downstream = (x + 2.25) km/hr,

Speed upstream = (x – 2.25) km/hr

Now distance = 6 (x + 2.25) = 1.5 × 6 (x – 2.25)

On solving x = 11.25 km/hr

Hence, option (B) is correct.

4. Number of trees each side of road

Here, we have added '1' because when the distance of 20 m is taken, two trees are to be considered. Similarly, when the distance of 40 m is taken, three trees are to be considered. So, 1 extra tree will always be calculated.

Trees on both the sides

⇒ 99 × 2 = 198

Hence, option (B) is correct.

5. Let present age = x years

According to question,

(^405) (x – 10) = 500 (x+10), 100 300

Traditional Approach:

SI of 2 year = 120

So, SI for 1 year = 60

SI = P^ × R × T 100

60 = P × 4 × 1 100

60 × 100 = P = 60 × 25 = 1500

Now, the net effective rate of interest for CI for 2 years

= [4 + 4 + 4 × 4 100 ]%

= 8.16% {Appying the net% effect formula}

∴ Interest earned = 1500 × 8.16%% = 122.4/-

Hence, option A is correct.

9. Total ⇒ 9900 tickets were sold

Revenue ⇒ 20% of 9900 × half price + 80% of 9900 × full price

⇒ 10020 × 9900 × 20 + 10080 × 9900 × 40

⇒ 9900 × 4 + 9900 × 32

⇒ 9900 × (36)

⇒ 3600 × 99

Hence, option B is correct.

10. As the month have 30 days and is started with first day as sunday.

∴ There are 5 Sunday in this month.

So, on 5 days = 510 visitors

on 25 days = 240 visitors.

Average visitors daily = 5 × 510 + 25 × 240 30

Hence, option A is correct.