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
3231
A can complete a 1 km race in 3 min 10 sec. B takes 3 min 30 sec. What start should A give B for a dead heat?
Answer:
95.2 m
A takes 190s. B takes 210s. B's speed = 1000/210 = 100/21 m/s. B runs 20s longer. Distance = 20 * (100/21) = 2000/21 ≈ 95.23 m.
3232
In a 100m race, A beats B by 10m. A beats C by 28m. In a 90m race, B beats C by:
Answer:
18 m
A:B = 100:90. A:C = 100:72. B:C = 90:72. In a 90m race, B runs 90m, C runs 72m. B beats C by 90 - 72 = 18m.
3233
A and B start running on a 400m circular track at 4m/s and 6m/s in the same direction. When will they meet?
Answer:
200 s
Relative speed = 6 - 4 = 2 m/s. Time to meet = 400 / 2 = 200s.
3234
A beats B by 5 seconds in a 200m race. A's speed is 8 m/s. B's speed is:
Answer:
6.66 m/s
A's time = 200/8 = 25s. B's time = 25 + 5 = 30s. B's speed = 200/30 = 20/3 = 6.66 m/s.
3235
In a game of 80, A can give B 10 points and C 20 points. How many points can B give C in a game of 70?
Answer:
10
A=80, B=70, C=60. B:C = 70:60. In a game of 70, B scores 70 and C scores 60. B gives C 10 points.
3236
A gives B a start of 20s in a 1000m race. A's speed is 10 m/s, B's is 8 m/s. A wins by:
Answer:
40 m
A finishes in 100s. B runs for 100 + 20 = 120s when A finishes. B covers 120 * 8 = 960m. A wins by 1000 - 960 = 40m.
3237
In a 100m race, A covers distance in 12s, B in 15s. A beats B by:
Answer:
20 m
B's speed = 100/15 = 20/3 m/s. In 12s, B covers 12 * 20/3 = 80m. A beats B by 100 - 80 = 20m.
3238
A runs 5/4 times as fast as B. A gives B a start of 20m. How long is the race for a tie?
Answer:
100 m
A:B = 5:4. A gains 1m on B over 5m run. To gain 20m, A must run 20 * 5 = 100m.
3239
Two men cycle on a 1 km circular track at 8 m/s and 12 m/s in opposite directions. When do they meet?
Answer:
50 s
Relative speed = 8 + 12 = 20 m/s. Time to meet = 1000 / 20 = 50s. Let me correct the option marking.
3240
A beats B by 15m in a 100m race. B beats C by 10m in a 100m race. A beats C by:
Answer:
23.5 m
A:B = 100:85 = 20:17. B:C = 100:90 = 10:9. A:B:C = 200:170:153. In a 100m race, divide by 2: A=100, C=76.5. A beats C by 100 - 76.5 = 23.5 m.