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
3221
Two cyclists run on a 1 km circular track at 10m/s and 15m/s in opposite directions. First meet?
Answer:
40 s
Relative speed = 10 + 15 = 25 m/s. Time to meet = 1000 / 25 = 40 s.
3222
In a 100m race, A beats B by 20m and C by 36m. B beats C in a 100m race by:
Answer:
20 m
A:B = 100:80 = 5:4. A:C = 100:64 = 25:16. B:C = 80:64 = 10:8 = 100:80. B beats C by 20m.
3223
A runs 6/5 times as fast as B. A gives B 10m start. Race length for tie?
Answer:
60 m
A:B = 6:5. A gains 1m over 6m run. To gain 10m, A runs 10 * 6 = 60 m.
3224
A gives B a start of 20m in a 100m race. A runs at 5m/s. Dead heat. B's speed?
Answer:
4 m/s
A's time = 100/5 = 20s. B runs 80m in 20s. B's speed = 80/20 = 4 m/s.
3225
A beats B by 15 seconds in 200m race. A's speed 5 m/s. B's speed?
Answer:
3.63 m/s
A's time = 200/5 = 40s. B's time = 40 + 15 = 55s. B's speed = 200/55 = 40/11 ≈ 3.63 m/s.
3226
In a game of 120 points, A scores 120, B scores 100. B scores 120, C scores 90. A gives C in 120:
Answer:
45
A:B = 120:100 = 6:5. B:C = 120:90 = 4:3. A:B:C = 24:20:15. Multiply by 5: 120:100:75. A gives C 120 - 75 = 45 points.
3227
A gives B a 40m start in 1000m race and wins by 10s. A's speed 10 m/s. B's speed?
Answer:
8.72 m/s
A's time = 100s. B finishes in 100 + 10 = 110s. B runs 960m. B's speed = 960/110 = 96/11 ≈ 8.72 m/s.
3228
A, B, C run on a 500m circular track at 2m/s, 3m/s, 5m/s in same direction. Meeting at start?
Answer:
500 s
T_A = 250s, T_B = 500/3s, T_C = 100s. LCM(250, 500/3, 100) = 500s.
3229
In a 1000m race, A beats B by 100m. In a 400m race, B beats C by 40m. A beats C in 1000m by:
Answer:
190 m
A:B = 1000:900 = 10:9. B:C = 400:360 = 10:9. A:B:C = 100:90:81 = 1000:900:810. A beats C by 1000 - 810 = 190m.
3230
A runs 4/3 times as fast as B. A gives B a start of 30m. Race length for a tie?
Answer:
120 m
Speed A:B = 4:3. A gains 1m over 4m. To gain 30m, A runs 30 * 4 = 120m.