Races and Games Aptitude Test Paper 1
1) In a kilometer race, A beats B by 40 meters or by 5 seconds. What is the time taken by A over the course?
- 1 minute 57 seconds.
- 2 minutes.
- 1.5 minutes.
- None of these.
Answer: B
Explanation:
A runs 1km = 1000 m, it means B runs 1000 – 40 = 960 meters
Time is taken by B for 40 meters = 5 seconds
Time is taken by B for 960 meters = × 960=120 seconds
The time in which B covered 960 meters, A has covered 1000 meters.
∴ A’s time over the course = 120 seconds
                       = 2 minutes
2) In a race of 600 m, A can beat B by 50 m, and in another race of 500 m, B can beat C by 60 m. Then by how many meters will A beat C in a race of 400 meters?
- 77 m
- 77 m
- 70 m
- None of these.
Answer: A
Explanation:
When A runs 600 m,
Then B runs (600 – 50) = 550 m
Now, When B runs 500 m,
Then C runs (500 – 60) = 440 m
When B runs 550 m then C runs = = 484 m
When A runs 600 m then C runs 484 m,
Now in a 400 meters race, when A runs 400 runs, C will run:
∴ A beats C in a 400 m race by
3) In a 500 m race, the ratio of the speeds of two participants A and B is 3: 4. A has a start of 140 m. Then, A wins by
- 60 m
- 40 m
- 20 m
- 10 m
Answer: C
Explanation:
To reach the winning point, A has to cover a distance of
(500 – 140) = 360 m
According to the question
When A covers 3 m, then B covers 4 m
And when A covers 360 m, then B covers
Thus, when A reaches the winning point, B covers 480 m and remains 20 m behind.
Therefore A wins from B by 20 m.
4) A can run 22.5 m while B runs 25 m. In a one kilometer race, B beats A by
- 100 m
- 111 1/9 m
- 25 m
- 50 m
Answer: A
Explanation:
When B runs 25 m, A runs m
When B runs 1000 m, A runs
∴ B beats A by 100 m.
Solution 2:
When B runs 25 m, A runs m
But ATQ, B has to cover 1000 m
If we multiply B = 25 by 40 then we get 1000 m
Then A covers* 40 = 45*20 = 900 m
Therefore, B beats A by 100 m
5) A and B take part in a 100 m race. A runs at 5 km per hour. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is
- 5.15 km/hr
- 4.14 km/hr
- 4.25 km/hr
- 4.41 km/hr
Answer: B
Explanation:
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