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
3201
100m race. A beats B by 25m, C by 40m. B beats C in 100m by:
Answer:
20 m
A:B = 100:75. A:C = 100:60. B:C = 75:60 = 5:4. B runs 100m, C runs 80m. B beats C by 20m.
3202
A runs 9/5 times as fast as B. A gives B 80m start. Race length for tie?
Answer:
180 m
A gains 4m over 9m run. To gain 80m, A runs 20 * 9 = 180m.
3203
A gives B a 30m start in a 100m race. A runs at 5 m/s. Dead heat. B's speed?
Answer:
3.5 m/s
A's time = 100/5 = 20s. B runs 70m in 20s. B's speed = 70/20 = 3.5 m/s.
3204
Game of 200. A gives B 40 points, C 80 points. B gives C in 100:
Answer:
25
A=200, B=160, C=120. B:C = 160:120 = 4:3. In game of 100, B=100, C=75. B gives C 25 points.
3205
A beats B by 10s in a 400m race. A's speed 10 m/s. B's speed?
Answer:
8 m/s
A's time = 400/10 = 40s. B's time = 40 + 10 = 50s. B's speed = 400/50 = 8 m/s.
3206
A runs 1km in 3m 45s. B in 4m. A gives B a start of 50m. Who wins and by what distance?
Answer:
A wins by 12.5m
A's time = 225s. B's time = 240s, speed = 1000/240 = 25/6 m/s. B runs 950m. B's time = 950 / (25/6) = 228s. A finishes in 225s. A wins by 228 - 225 = 3s. Distance = 3 * (25/6) = 12.5m.
3207
Circular track 800m. A and B run at 6m/s, 2m/s opposite direction. First meet?
Answer:
100 s
Relative speed = 6 + 2 = 8 m/s. Time to meet = 800 / 8 = 100 s.
3208
100m race. A beats B by 20m, C by 30m. B beats C in 100m by:
Answer:
12.5 m
A:B = 100:80. A:C = 100:70. B:C = 80:70 = 8:7. When B runs 100m, C runs 100 * (7/8) = 87.5m. B beats C by 12.5m.
3209
A runs 8/5 times as fast as B. A gives B 60m start. Race length for tie?
Answer:
200 m
A gains 3m over 8m run. To gain 60m, A runs 20 * 8 = 160m.
3210
A gives B a 25m start in a 100m race. A runs at 4 m/s. Dead heat. B's speed?
Answer:
3 m/s
A's time = 100/4 = 25s. B runs 75m in 25s. B's speed = 75/25 = 3 m/s.