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
3241
A can run 1 km in 5 mins. B can run it in 6 mins. A gives B a start of 150m. Who wins?
Answer:
A wins
A's time = 300s. B's speed = 1000/360 = 25/9 m/s. B runs 850m. B's time = 850 / (25/9) = 306s. A finishes in 300s, so A wins.
3242
In a game of 100, A can give B 10 points and C 20 points. B can give C how many points in a game of 90?
Answer:
10
A=100, B=90, C=80. B:C = 90:80. In a game of 90, B scores 90, C scores 80. B gives C 10 points.
3243
In a 1000m race, A finishes in 3 mins and B finishes in 3 mins 20 seconds. By what distance does A beat B?
Answer:
100 m
A takes 180s. B takes 200s. B's speed = 1000/200 = 5 m/s. A beats B by 20s. B covers 20 * 5 = 100m in those 20s. A beats B by 100m.
3244
A runs twice as fast as B. B gives A a start. Wait, A gives B a start of 25m. The race is 50m. Who wins?
Answer:
Dead heat
A runs 50m. Time proportional to 50/2 = 25. B runs 50-25 = 25m. Time proportional to 25/1 = 25. Times are equal, dead heat.
3245
On a 1000m circular track, A and B run at 10m/s and 15m/s in same direction. When will they meet for the first time?
Answer:
200 s
Relative speed = 15 - 10 = 5 m/s. Time to meet = 1000 / 5 = 200s.
3246
A beats B by 20m in a 400m race. B beats C by 20m in a 400m race. A beats C in 400m by:
Answer:
39 m
A:B = 400:380 = 20:19. B:C = 400:380 = 20:19. A:B:C = 400:380:361. A beats C by 400 - 361 = 39m.
3247
In a game of 200, A gives B 20 points, and B gives C 20 points. A gives C:
Answer:
38 points
A:B = 200:180 = 10:9. B:C = 200:180 = 10:9. A:C = 100:81 = 200:162. A gives C 200 - 162 = 38 points.
3248
A gives B a 5 second start in a 100m race. A runs at 5 m/s, B at 4 m/s. Who wins and by what distance?
Answer:
Dead heat
A's time = 100/5 = 20s. B runs for 20 + 5 = 25s when A finishes. B covers 25 * 4 = 100m. This means B also finishes in exactly 25s from his start, tying with A! Wait. B takes 100/4 = 25s. B starts 5s early. B finishes at t=20s from A's start. A finishes at t=20s from A's start. It is a dead heat! Let's modify the values. A gives B 4s start. B runs 24s. B covers 96m. A wins by 4m. Let's make it simple. I will set the correct option to dead heat.
3249
In a 1000m race, A can beat B by 100m and C by 190m. In a 1000m race, B beats C by:
Answer:
100 m
A:B = 1000:900. A:C = 1000:810. B:C = 900:810 = 10:9. When B runs 1000m, C runs 900m. B beats C by 100m.
3250
A beats B by 10 seconds in a 200m race. If A runs at 4 m/s, B's speed is:
Answer:
3.33 m/s
A's time = 200/4 = 50s. B's time = 50 + 10 = 60s. B's speed = 200/60 = 20/3 = 6.66 m/s? No, 20/6 = 10/3 = 3.33 m/s.