Aptitude - Races and Games
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OverviewExercise"No one is as deaf as the man who will not listen."
- (Proverb)
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| 6. |
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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Answer: Option B
Explanation:
A : B = 200 : 169.
A : C = 200 : 182.
| C |
= |
 |
C |
x |
A |
 |
= |
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182 |
x |
200 |
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= 182 : 169. |
| B |
A |
B |
200 |
169 |
When C covers 182 m, B covers 169 m.
| When C covers 350 m, B covers |
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169 |
x 350 |
m |
= 325 m. |
| 182 |
Therefore, C beats B by (350 - 325) m = 25 m.
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| 7. |
In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by:
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Answer: Option E
Explanation:
| Distance covered by B in 9 sec. = |
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100 |
x 9 |
m |
= 20 m. |
| 45 |
 A beats B by 20 metres.
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| 8. |
In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C:
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| A. |
8 points | B. |
10 points | | C. |
14 points | D. |
40 points |
Answer: Option C
Explanation:
A : B = 100 : 80.
A : C = 100 : 72.
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B |
= |
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B |
x |
A |
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= |
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80 |
x |
100 |
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= |
10 |
= |
100 |
= 100 : 90. |
| C |
A |
C |
100 |
72 |
9 |
90 |
B can give C 10 points.
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| 9. |
In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:
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| A. |
40 sec | B. |
47 sec | | C. |
33 sec | D. |
None of these |
Answer: Option E
Explanation:
B runs 35 m in 7 sec.
| B covers 200 m in |
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7 |
x 200 |
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= 40 sec. |
| 35 |
B's time over the course = 40 sec.
A's time over the course (40 - 7) sec = 33 sec.
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| 10. |
A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by:
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Answer: Option A
Explanation:
| When B runs 25 m, A runs |
45 |
m. |
| 2 |
| When B runs 1000 m, A runs |
|
45 |
x |
1 |
x 1000 |
m |
= 900 m. |
| 2 |
25 |
B beats A by 100 m.
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