All Categories MCQs
Topic Notes: All Categories
General Description
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
3271
A runs twice as fast as B. If A gives B a start of 15m, what should be the length of the race for a tie?
Answer:
30 m
Speed A:B = 2:1. A gains 1m when he runs 2m. To gain 15m, A must run 2 * 15 = 30 m.
3272
On a 500m circular track, A and B run at 6 m/s and 4 m/s in opposite directions. When do they meet?
Answer:
50 s
Relative speed = 6 + 4 = 10 m/s. Time to meet = Distance / Relative Speed = 500 / 10 = 50 seconds.
3273
A can run 1 km in 3 min 20 sec and B in 3 min 40 sec. What start can A give B so they finish together?
Answer:
90.9 m
A takes 200s, B takes 220s. B's speed = 1000/220 = 50/11 m/s. In 20s (the difference in their times), B covers 20 * 50/11 = 1000/11 ≈ 90.9 m. A must give this start.
3274
In a 100m race, A covers the distance in 15 seconds and B in 20 seconds. What is the distance B is behind when A finishes?
Answer:
25 m
B's speed = 100/20 = 5 m/s. In 15 seconds, B covers 15 * 5 = 75m. Distance behind = 100 - 75 = 25 m.
3275
A beats B by 15m in a 300m race. B beats C by 10m in a 200m race. How much start can A give C in a 400m race?
Answer:
39 m
A:B = 300:285 = 20:19. B:C = 200:190 = 20:19. A:B:C = 400:380:361. A gives C a start of 400 - 361 = 39 m.
3276
A runs 1.25 times as fast as B. If A gives B a start of 20m, how long is the race if they finish together?
Answer:
100 m
Speed A:B = 1.25:1 = 5:4. A gains 1m on B over 5m of his own run. To gain 20m, A must run 20 * 5 = 100 m.
3277
In a game of 90 points, A can give B 15 points and C 30 points. How many points can B give C in a game of 100?
Answer:
20
A=90, B=75, C=60. B:C = 75:60 = 5:4. In a game of 100, B=100, C=80. B gives C 20 points.
3278
In a 200m race, A beats B by 20m and B beats C by 10m. By what distance does A beat C?
Answer:
29 m
A:B = 200:180 = 10:9. B:C = 200:190 = 20:19. A:B:C = 200:180:171. A beats C by 200 - 171 = 29 m.
3279
A gives B a start of 10s in a 400m race and still wins by 20m. If A's speed is 8 m/s, B's speed is:
Answer:
6.3 m/s
A's time = 400/8 = 50s. B was given a 10s start, so B ran for 50 + 10 = 60s when A finished. At that time, B was 20m short, so B covered 380m. B's speed = 380/60 = 19/3 ≈ 6.33 m/s.
3280
A can run 1 km in 3 min 20 sec, B can run it in 3 min 40 sec. By what distance does A beat B?
Answer:
90.9 m
A's time = 200s, B's time = 220s. A beats B by 20s. B's speed = 1000/220 = 50/11 m/s. In 20s, B covers 20 * (50/11) = 1000/11 ≈ 90.9 m.