Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

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10 Questions
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Question 1
In a 300 m race A beats B by 22.5 m or 6 seconds. B's time over the course is:

A
86 sec
B
80 sec
C
76 sec
D
None of these
Correct Answer: Option B

B runs 45 m in 6 sec.
2

B covers 300 m in 6 x 2 x 300 sec
45
= 80 sec.

Question 2
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 / 7) m
Correct Answer: Option B

A : C = 200 : 182.

C = C x A






B A B



=182x200= 182 : 169.



200169


When C covers 182 m, B covers 169 m.

When C covers 350 m, 

 B covers169x 350m= 325 m.
182


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

Question 3
A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:

A
100 m
B
111(1 / 9) m
C
25 m
D
50 m
Correct Answer: Option A

When B runs 25 m, A runs 45 m.
2

When B runs 1000 m, 

A runs45x1x 1000m= 900 m.
225


B beats A by 100 m.

Question 4
In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:

A
18 m
B
20 m
C
27 m
D
9 m
Correct Answer: Option B

A : B = 100 : 90.

A : C = 100 : 72.

B : C = B x A = 90 x 100 = 90 .
A C 100 72 72

When B runs 90 m, C runs 72 m.

When B runs 100 m, C runs 72 x 100 m = 80 m.
90

B can give C 20 m.

Question 5
In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:

A
21 m
B
26 m
C
28 m
D
29 m
Correct Answer: Option C

A : B = 100 : 75

B : C = 100 : 96.

A : C = A x B = 100 x 100 = 100
B C 75 96 72

= 100 : 72.

A beats C by (100 - 72) m = 28 m.

Question 6
A runs 1 times as fast as B. If A gives B a start of 80 m, how far must the winning post be so that A and B might reach it at the same time?

A
200 m
B
300 m
C
270 m
D
160 m
Correct Answer: Option A

Ratio of the speeds of A and B = 5 : 1 = 5 : 3.
3

Thus, in race of 5 m, A gains 2 m over B.

2 m are gained by A in a race of 5 m.

80 m will be gained by A in race of 5 x 80 m
2
= 200 m.

Winning post is 200 m away from the starting point.

Question 7
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
Correct Answer: Option C

A : B = 60 : 45.

A : C = 60 : 40.

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

  = 90 : 80.

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

Question 8
In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by:

A
60 m
B
40 m
C
20 m
D
10 m
Correct Answer: Option C

To reach the winning post A will have to cover a distance of (500 - 140)m, i.e., 360 m.

While A covers 3 m, B covers 4 m.

While A covers 360 m, B covers 4 x 360 m
3

   = 480 m.

Thus, when A reaches the winning post, B covers 480 m and therefore remains 20 m behind.

A wins by 20 m.

Question 9
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
Correct Answer: Option B

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
25

    = 72 sec.

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

      = 80 sec.

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

Question 10
In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:

A
20 m
B
25 m
C
22.5 m
D
9 m
Correct Answer: Option A

Distance covered by B in 9 sec.

   =100x 9m= 20 m.
45


A beats B by 20 metres.

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