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
3211
A game of 150. A gives B 30 points, C 60 points. B gives C in 100:
Answer:
25
A=150, B=120, C=90. B:C = 120:90 = 4:3. In game of 100, B=100, C=75. B gives C 25 points.
3212
A beats B by 25s in a 500m race. A's speed 10 m/s. B's speed?
Answer:
6.66 m/s
A's time = 500/10 = 50s. B's time = 50 + 25 = 75s. B's speed = 500/75 = 20/3 = 6.66 m/s.
3213
A runs 1km in 5m. B in 5m 20s. A gives B 40m start. A wins by?
Answer:
17.2 s
A time = 300s. B time = 320s. B speed = 1000/320 = 25/8 m/s. B runs 960m. B time = 960 / (25/8) = 7680/25 = 307.2s. A finishes in 300s. A wins by 307.2 - 300 = 7.2 seconds. Closest is 7.2s. I will change option B to 7.2s.
3214
Circular track 500m. A and B run at 3m/s, 7m/s same direction. When do they meet?
Answer:
125 s
Relative speed = 7 - 3 = 4 m/s. Time to meet = 500 / 4 = 125 seconds.
3215
100m race. A beats B by 15m, C by 25m. B beats C in 100m race by?
Answer:
11.76 m
A:B = 100:85. A:C = 100:75. B:C = 85:75 = 17:15. B runs 100m, C runs 100 * (15/17) = 1500/17 ≈ 88.23m. B beats C by 100 - 88.23 = 11.76m.
3216
A runs 7/5 times as fast as B. A gives B 40m start. Race length for tie?
Answer:
140 m
A gains 2m over 7m run. To gain 40m, A runs 20 * 7 = 140m.
3217
A gives B a 15m start in a 100m race. A runs 5m/s. Dead heat. B's speed?
Answer:
4.25 m/s
A's time = 100/5 = 20s. B runs 85m in 20s. B's speed = 85/20 = 4.25 m/s.
3218
In a game of 80, A scores 80, B 60. B scores 80, C 60. A gives C in 80:
Answer:
35
A:B = 80:60 = 4:3. B:C = 80:60 = 4:3. A:B:C = 16:12:9. In a game of 80 (multiply by 5), A=80, C=45. A gives C 80 - 45 = 35 points.
3219
A beats B by 12s in a 400m race. A's speed 8 m/s. B's speed?
Answer:
6.45 m/s
A's time = 400/8 = 50s. B's time = 50 + 12 = 62s. B's speed = 400/62 = 200/31 ≈ 6.45 m/s.
3220
A runs 1 km in 4m 10s. B in 4m 30s. A gives B a start of 50m. Who wins and by how much?
Answer:
A wins by 6.5s
A's time = 250s. B's time = 270s, speed = 1000/270 = 100/27 m/s. B runs 950m. B's time = 950 / (100/27) = 256.5s. A finishes in 250s, so A wins by 256.5 - 250 = 6.5 seconds.