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
5271
A, B and C run on a circular track of 600m. A runs at 3 m/s, B at 4 m/s, and C at 5 m/s in the same direction. When will they meet for the first time?
Answer:
600 s
Relative speeds: Vb - Va = 1 m/s, Vc - Vb = 1 m/s. Time to meet A & B = 600/1 = 600s. Time to meet B & C = 600/1 = 600s. LCM(600, 600) = 600 seconds.
5272
In a 100 m race, A beats B by 20m and C by 28m. In a 50m race, B will beat C by:
Answer:
5 m
A:B = 100:80. A:C = 100:72. B:C = 80:72 = 10:9. In a 50m race, B runs 50m, C runs (9/10)*50 = 45m. B beats C by 5m.
5273
In a 1000 m race, A can beat B by 50 m or 10 seconds. What is the time taken by A to complete the race?
Answer:
190 s
B runs 50 m in 10 seconds, so B's speed is 5 m/s. B's time for 1000m = 1000/5 = 200s. A beats B by 10s, so A's time = 200 - 10 = 190 seconds.
5274
A runs 5/3 times as fast as B. If A gives B a start of 60 m, how far must the goal be so that both finish at the same time?
Answer:
150 m
Ratio of speeds A:B = 5:3. A gains 2m over B when A runs 5m. To gain 60m, A must run (5/2) * 60 = 150 m.
5275
In a game of 100 points, A can give B 20 points and B can give C 25 points. How many points can A give C?
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.
5276
A gives B a start of 5 seconds in a 1000 m race. If A runs at 10 m/s and B runs at 8 m/s, who wins and by how many meters?
Answer:
A wins by 160 m
A finishes in 1000/10 = 100s. B runs for 100 + 5 = 105s when A finishes. Distance covered by B = 105 * 8 = 840 m. A wins by 1000 - 840 = 160 m.
5277
In a 200m race, A beats B by 31m and C by 18m. In a race of 350m, by what distance will C beat B?
Answer:
25 m
A:B = 200:169. A:C = 200:182. C:B = 182:169. When C runs 350m, B runs (169/182) * 350 = 325m. C beats B by 350 - 325 = 25 m.
5278
A can run 1 km in 4 minutes, and B can run the same distance in 5 minutes. If A gives B a start of 200m, what is the result of the race?
Answer:
Dead heat
A's speed = 1000/240 = 25/6 m/s. B's speed = 1000/300 = 10/3 m/s. B has a 200m start, so B needs to run 800m. B's time = 800 / (10/3) = 240 seconds. A's time to run 1000m is 240 seconds. Both finish exactly at the same time, resulting in a dead heat.
5279
A runs at 10 km/hr and B at 12 km/hr on a circular track of 2 km. If they start simultaneously in the same direction, after how long will they meet again at the starting point?
Answer:
1 hour
Time for A to complete 1 round = 2/10 = 1/5 hour. Time for B = 2/12 = 1/6 hour. LCM(1/5, 1/6) = LCM(1,1)/HCF(5,6) = 1/1 = 1 hour.
5280
In a 100m race, A beats B by 15m and C by 20m. In a race of 170m, B beats C by:
Answer:
10 m
A:B = 100:85. A:C = 100:80. So B:C = 85:80 = 17:16. In a 170m race, B runs 170m (17*10), C runs 160m (16*10). B beats C by 170 - 160 = 10 m.