Races and Games problems
- 1. 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:
Options- A. 21 m
- B. 26 m
- C. 28m
- D. 29m Discuss
Correct Answer: 28m
Explanation:
A : B = 100 : 75
B : C = 100 : 96.
A : C = (A/B*B/C) = (100/75*100/96) = 100/72 =100:72
A beats C by (100 - 72) m = 28 m.
- 2. In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C
Options- A. 18 m
- B. 20 m
- C. 27 m
- D. 9m Discuss
Correct Answer: 20 m
- 3. A can give B 100 meters start and C 200 meters start in a kilometer race. How much start can B give C in a kilometer race?
Options- A. 110.12 meters
- B. 111.12 meters
- C. 112.12 meters
- D. 113.12 meters Discuss
Correct Answer: 111.12 meters
Explanation:
A runs 1000 meters while B runs 900 meters and C runs 800 meters.
Therefore, B runs 900 meters while C runs 800 meters.
So, the number of meters that C runs when B runs 1000 meters = (1000 x 800)/900 = 8000/9 = 888.88 meters
Thus, B can give C (1000 - 888.88) = 111.12 meters start
- 4. In a 300 m race, A beats B by 22.5 m or 6 seconds. B's time over the course is:
Options- A. 86 sec
- B. 80 sec
- C. 76 sec
- D. None of these Discuss
Correct Answer: 80 sec
Explanation:
B runs 45/2mts in 6 sec
B covers 300m in (6*2/45*300)sec =80 sec
- 5. In a game of 100 points, A can give B 20 points and C 28 points. Then, B can give C:
Options- A. 8 points
- B. 10 points
- C. 14points
- D. 40points Discuss
Correct Answer: 10 points
Explanation:
A : B = 100 : 80.
A : C = 100 : 72.
B:C = B/A*A/C = 80/10*100/72 = 10/9 = 100/90 = 100:90
B can give C 10 points
- 6. In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C:
Options- A. 18 m
- B. 20 m
- C. 27m
- D. 9 m Discuss
Correct Answer: 20 m
Explanation:
A : B = 100 : 90.
A : C = 100 : 72.
B:C = B/A*A/C = 90/100*100/72 = 90/72
When B runs 90 m, C runs 72 m.
When B runs 100 m, C runs (72/90*100)m = 80m
B can give C 20 m.
- 7. In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:
Options- A. 40 sec
- B. 47 sec
- C. 33 sec
- D. None of these Discuss
Correct Answer: 33 sec
Explanation:
B runs 35 m in 7 sec.
B covers 200 m in (7/35*200) = 40sec
B's time over the course = 40 sec.
A's time over the course (40 - 7) sec = 33 sec.
- 8. 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
Options- A. 5.4 m
- B. 4.5 m
- C. 5 m
- D. 6 m Discuss
Correct Answer: 6 m
- 9. A can run 22.5 m while B runs 25 m. In a kilometre race B beats A by
Options- A. 100 m
- B. 111m
- C. 25 m
- D. 50 m Discuss
Correct Answer: 100 m
- 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?
Options- A. 30 points
- B. 20 points
- C. 10 points
- D. 12 points Discuss
Correct Answer: 10 points
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