Aptitude

The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

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Question: The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?

[A].

3 : 3 : 10

[B].

10 : 11 : 20

[C].

23 : 33 : 60

[D].

Cannot be determined

Answer: Option C

Explanation:

Let A = 2k, B = 3k and C = 5k.

A’s new salary = 115 of 2k = 115 x 2k = 23k
100 100 10
B’s new salary = 110 of 3k = 110 x 3k = 33k
100 100 10
C’s new salary = 120 of 5k = 120 x 5k = 6k
100 100
New ratio 23k : 33k : 6k = 23 : 33 : 60
10 10

At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?

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Question:
At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90?

[A].

30 points

[B].

20 points

[C].

10 points

[D].

12 points

Answer: Option C

Explanation:

A : B = 60 : 45.

A : C = 60 : 40.

B = B x A = 45 x 60 = 45 = 90 = 90 : 80.
C A C 60 40 40 80

B can give C 10 points in a game of 90.

A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:

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Question:
A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is:

[A].

5.15 kmph

[B].

4.14 kmph

[C].

4.25 kmph

[D].

4.4 kmph

Answer: Option B

Explanation:

A’s speed = 5 x 5 m/sec = 25 m/sec.
18 18
Time taken by A to cover 100 m = 100 x 18 sec = 72 sec.
25

Time taken by B to cover 92 m = (72 + 8) = 80 sec.

B’s speed = 92 x 18 kmph = 4.14 kmph.
80 5

In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

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Question: In a race of 200 m, A can beat B by 31 m and C by 18 m. In a race of 350 m, C will beat B by:

[A].

22.75 m

[B].

25 m

[C].

19.5 m

[D].

7 4 m
7

Answer: Option B

Explanation:

A : B = 200 : 169.

A : C = 200 : 182.

C = C x A = 182 x 200 = 182 : 169.
B A B 200 169

When C covers 182 m, B covers 169 m.

When C covers 350 m, B covers 169 x 350 m = 325 m.
182

Therefore, C beats B by (350 – 325) m = 25 m.

In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

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Question:
In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by:

[A].

5.4 m

[B].

4.5 m

[C].

5 m

[D].

6 m

Answer: Option D

Explanation:

A : B = 100 : 90.

A : C = 100 : 87.

B = B x A = 90 x 100 = 30 .
C A C 100 87 29

When B runs 30 m, C runs 29 m.

When B runs 180 m, C runs 29 x 180 m = 174 m.
30

B beats C by (180 – 174) m = 6 m.