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- Question
- A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds, all starting at the same point. After what time will they meet next at the starting point again?
Options- A. 46 minutes 12 seconds
- B. 45 minutes
- C. 42 minutes 36 seconds
- D. 26 minutes 18 seconds
- Correct Answer
- 46 minutes 12 seconds
ExplanationL.C.M. of 252, 308 and 198 = 2772 seconds
= 46 × 60 + 12 = 46 min 12 seconds.
. - 1. A runner runs 1 1? 4 laps of a 5 lap race. What fractional part of the race remains to be run?
Options- A. 15?4
- B. 4?5
- C. 5?6
- D. 2?3 Discuss
- 2. In a game, A can give B 20 points, A can give C 32 points and B can give C 15 points. How many points make the game?
Options- A. 100
- B. 200
- C. 300
- D. 400 Discuss
- 3. In a Km race A beats B by 25 m or 5 sec. Then find out the time taken by A to complete the race.
Options- A. 3 minutes 15 seconds
- B. 4 minutes 20 seconds
- C. 2 minutes 30 seconds
- D. 5 minutes 10 seconds Discuss
- 4. In a race of 300 metres A beats B by 15 metres or 5 seconds. How much time A does take to complete the race?
Options- A. 105 sec.
- B. 100 sec.
- C. 95 sec.
- D. 90 sec. Discuss
- 5. In a game of 250 points A can give B 50 points and C 70 points. In the same game how many points can B give C?
Options- A. 18 points
- B. 20 points
- C. 22 points
- D. 25 points Discuss
- 6. Raju runs 1250 meter on Monday and Friday. Another days he runs 1500 meter except for Sunday (He does not run on Sunday). How many kilometer will he run in 3 weeks (first day starting from Monday)?
Options- A. 12.5 Km
- B. 20.5 Km
- C. 8.5 Km
- D. 25.5 Km Discuss
- 7. In a race of 300 meter, A beats B by 15 meter or 5 sec. A's time over the course is :
Options- A. 100 seconds
- B. 95 seconds
- C. 105 seconds
- D. 90 seconds Discuss
- 8. A runs 1 3? 8 times as fast as B. If A gives B a start of 120 m and they reach the goal at the same time, the goal is at a distance of:
Options- A. 360 m
- B. 440 m
- C. 460 m
- D. 380 m Discuss
- 9. At a game of billiards, A can give B 6 points in 50 and he can give C 13 in 65. In a game of 55, number of points B can give C is:
Options- A. 3
- B. 4
- C. 5
- D. 8 Discuss
- 10. In a race of 600 m, A can beat B by 30 m and in a race of 500 m, B can beat C by 25 m. By how many metres will A beat C in a race of of 400 m?
Options- A. 39 m
- B. 49 m
- C. 55 m
- D. 25 m Discuss
Races and Games problems
Search Results
Correct Answer: 15?4
Explanation:
race remains to be run = 5 - 5?4 = 15?4 .
Correct Answer: 100
Explanation:
Suppose, P points make the game.
Clearly, when A scores P points, B scores (P - 20) points and C scores (P - 32) points.
Now, when B scores P points, C scores (P - 15) points.
When B scores (P - 20) points,
C scores [( P - 15 ) / P * P (P - 20)] points
? (P - 15)( P - 20) / P = P - 20 or, P = 100
Hence, 100 points make the game.
Correct Answer: 3 minutes 15 seconds
Explanation:
B runs 25 m in 5 seconds.
? B's time to cover 1 Km = 5 x 100 / 25 = 200 sec
A's time to cover one Km = 200 - 5 = 195 seconds
= 3 minutes 15 seconds.
Correct Answer: 95 sec.
Explanation:
From the question it is clear that speed of B = 15 / 5 = 3 m/s
The time taken by B to cover 300 m = 300 / 3 = 100 sec.
Hence, time taken by A to complete the race = 100 ? 5 = 95 sec.
Correct Answer: 25 points
Explanation:
In a game of 250 points, A scores 250 then B scores 200 points and C scores 180.
? B scores 250 points while C scores 180 x 250 / 200 = 225 points
Hence, in a game of 250 points B can give C (250 ? 225) = 25 points
Correct Answer: 25.5 Km
Explanation:
Raju runs on Monday and Friday = 1250 × 2 = 2500 m
On Tuesday, Wednesday, Thursday and Saturday,
Raju runs 1500 × 4 = 6000 m
In 1 week Raju runs 6000 + 2500 = 8500 m
In 3 weeks Raju runs 3 × 8500 = 25500 m = 25.5 K
Correct Answer: 95 seconds
Explanation:
15 meter is covered by B in 5 sec
? 300 meter is covered by B in 5 × 300/15 = 100 seconds
? A takes 100 - 5 = 95 seconds.
Correct Answer: 440 m
Explanation:
The speed of A and B are in the ratio 11 : 8.
Let, speeds be 11s and 8s (in m/sec).
Let, race be of P meter.
Then, time taken by A to run P meter is same as that of B to run (P - 120) meter.
? P / 11 = (P - 120) / 8
? P / 11 = (P - 120 / 8
? 8P = 11 x (P - 120 )
? 8P = 11P - 120 x 11
? 11P - 8P = 120 x 11
? 3P = 11 × 120
? P = 440.
Correct Answer: 5
Explanation:
In a game of 50.
While A scores 50, B scores 50 - 6 = 44 and in a game of 65. While A scores 65, C scores 65 - 13 = 52.
? While A scores 50, C scores 52 / 65 × 50 = 40.
? While B scores 44, C's score = 40.
While B scores 55, C's score = 40 / 44 × 55 = 50.
? In a game of 55,
B can give C 55 - 50 = 5 points.
Correct Answer: 39 m
Explanation:
If A runs 600 m, then B runs 570 m.
If A runs 400 m, B then runs (570/600) x 400 m = 380 m
When B runs 500 m, then C runs 475 m,
When B runs 380 m, then C runs (475/500) x 380 = 361 m
? A beats C by (400 - 361) = 39 m
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