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
3261
In a game of 100 points, A scores 100 while B scores 80. B scores 100 while C scores 75. How many points can A give C in a game of 100?
Answer:
40
A:B = 100:80 = 5:4. B:C = 100:75 = 4:3. A:B:C = 5:4:3 = 100:80:60. A gives C 100 - 60 = 40 points. Let me re-verify. 100-60 = 40. Option C is 40. I will select option c.
3262
A gives B a start of 10s in a 500m race. A runs at 5 m/s, B at 4 m/s. Who wins and by what distance?
Answer:
A wins by 60 m
A finishes in 500/5 = 100s. B runs for 100 + 10 = 110s. B covers 110 * 4 = 440m. A wins by 500 - 440 = 60m. Let me recalculate. Option B is 60m. I will correct the option marking.
3263
A and B start running on a 600m circular track. A runs at 3m/s, B at 5m/s. Running in opposite directions, when do they meet for the third time?
Answer:
225 s
Relative speed = 3 + 5 = 8 m/s. Time for first meet = 600/8 = 75s. Time for third meet = 3 * 75 = 225 seconds.
3264
In a 100m race, A beats B by 25m or 5 seconds. What is A's speed?
Answer:
6.66 m/s
B runs 25m in 5s. B's speed = 5 m/s. B's time for 100m = 100/5 = 20s. A beats B by 5s, so A's time = 15s. A's speed = 100/15 = 20/3 = 6.66 m/s.
3265
A runs 3/2 times as fast as B. If A gives B a start of 20m, how long should the race be to tie?
Answer:
60 m
A:B = 3:2. A gains 1m on B when A runs 3m. To gain 20m, A must run 20 * 3 = 60 m.
3266
A can complete a 1 km race in 4 minutes. B takes 4 mins 30 secs. A gives B a 100m start. Who wins and by what distance?
Answer:
A wins by 11.1 m
A's time = 240s. B's time = 270s, speed = 1000/270 = 100/27 m/s. B runs 900m. B's time to finish = 900 / (100/27) = 243s. Since 243s > 240s, A finishes first. Wait, A takes 240s. B takes 243s. So A wins. Let's re-read carefully: B wins by 11.1m? No, A wins by 3s. Distance B covers in 3s = 3 * 100/27 = 100/9 = 11.1m. So A wins by 11.1m. I will correct the option to 'A wins by 11.1 m'.
3267
Two athletes run on a circular track of 800m. A runs at 8 m/s, B runs at 12 m/s. If they run in the same direction, when do they meet for the first time?
Answer:
200 s
Relative speed (same direction) = 12 - 8 = 4 m/s. Time to meet = 800 / 4 = 200 seconds.
3268
In a 500m race, A beats B by 50m. In a 400m race, B beats C by 40m. A beats C in a 1000m race by:
Answer:
190 m
A:B = 500:450 = 10:9. B:C = 400:360 = 10:9. A:B:C = 100:90:81. Multiply by 10 for a 1000m race: A=1000, C=810. A beats C by 1000 - 810 = 190 m.
3269
A gives B a start of 10s in a 200m race. If A runs at 4 m/s and B at 3 m/s, who wins?
Answer:
A wins by 6.66s
A's time = 200/4 = 50s. B's time = 200/3 = 66.66s. B had a 10s start, meaning B finished at 66.66 - 10 = 56.66s from A's start. Since A finished in 50s, A wins by 56.66 - 50 = 6.66s.
3270
In a 100m race, A beats B by 10m and B beats C by 10m. What is the distance by which A beats C?
Answer:
19 m
A:B = 100:90. B:C = 100:90. A:B:C = 10000:9000:8100. When A=100, C=81. A beats C by 19 m.