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
3421
On an 800 m track, two cyclists ride in the same direction at 12 m/s and 8 m/s. When will they first meet?
Answer:
200 s
Step 1: Track length = 800m. Relative speed = 12 - 8 = 4 m/s. Step 2: Time = Distance / Relative Speed. Step 3: Time = 800 / 4 = 200 seconds.
3422
Two people run in opposite directions on a 1200 m circular track at 15 m/s and 5 m/s. When will they meet for the first time?
Answer:
60 s
Step 1: Track length = 1200m. Relative speed = 15 + 5 = 20 m/s. Step 2: Time = Distance / Relative Speed. Step 3: Time = 1200 / 20 = 60 seconds.
3423
Two runners start simultaneously from the same point on a 1500 m circular track in opposite directions. Their speeds are 10 m/s and 5 m/s. When will they meet for the first time?
Answer:
100 s
Step 1: Time to meet = Track length / Relative speed. Step 2: Relative speed (opposite direction) = 10 + 5 = 15 m/s. Step 3: Time = 1500 / 15 = 100 seconds.
3424
On a 1200 m circular track, two runners move in the same direction at 8 m/s and 4 m/s. When do they meet first?
Answer:
300 s
Step 1: Track length = 1200m. Relative speed = 8 - 4 = 4 m/s. Step 2: Time = Distance / Relative Speed. Step 3: Time = 1200 / 4 = 300 seconds.
3425
Two runners run in the same direction on a 1000 m circular track at speeds of 15 m/s and 5 m/s. When will they meet for the first time?
Answer:
100 s
Step 1: Track length = 1000m. Relative speed = 15 - 5 = 10 m/s. Step 2: Time = Distance / Relative Speed. Step 3: Time = 1000 / 10 = 100 seconds.
3426
Two runners start from the same point at speeds of 10 m/s and 5 m/s in the same direction on a 1000 m circular track. When will they meet for the first time anywhere on the track?
Answer:
200 s
Step 1: Time to meet for the first time anywhere on a circular track = Track length / Relative speed. Step 2: Relative speed (same direction) = 10 - 5 = 5 m/s. Step 3: Time = 1000 / 5 = 200 seconds.
3427
In a 100 m race, A beats B by 10 m, and B beats C by 20 m. By what distance does A beat C?
Answer:
28 m
Step 1: Va:Vb = 100:90. Step 2: Vb:Vc = 100:80. Step 3: Va:Vc = (100/90) * (100/80) = 10000/7200 = 100/72. A beats C by 100 - 72 = 28m.
3428
In a 100 m race, A beats B by 20 m, and B beats C by 10 m. By what distance does A beat C?
Answer:
28 m
Step 1: Va:Vb = 100:80. Step 2: Vb:Vc = 100:90. Step 3: Va:Vc = (100/80) * (100/90) = 10000/7200 = 100/72. A beats C by 100 - 72 = 28m.
3429
In a 100 m race, A beats B by 20 m, and B beats C by 20 m. By what distance does A beat C?
Answer:
36 m
Step 1: Va:Vb = 100:80 = 10:8. Step 2: Vb:Vc = 100:80 = 10:8. Step 3: Va:Vc = (10/8) * (10/8) = 100/64. A beats C by 100 - 64 = 36m.
3430
In a 1000 m race, A beats B by 100 m, and B beats C by 200 m. By what distance does A beat C?
Answer:
280 m
Step 1: Va:Vb = 1000:900 = 10:9. Step 2: Vb:Vc = 1000:800 = 10:8. Step 3: Va:Vc = (10/9) * (10/8) = 100/72 = 1000/720. A beats C by 1000 - 720 = 280m.