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
3411
A and B run on a 2000 m circular track at 20 m/s and 25 m/s. When do they meet first at the start?
Answer:
400 s
Step 1: Time for A = 2000 / 20 = 100s. Time for B = 2000 / 25 = 80s. Step 2: Meet at start = LCM(100, 80). Step 3: LCM(100, 80) = 400 seconds.
3412
A and B run on a 600 m circular track at 6 m/s and 15 m/s. When do they meet first at the start?
Answer:
200 s
Step 1: Time for A = 600 / 6 = 100s. Time for B = 600 / 15 = 40s. Step 2: Meet at start = LCM(100, 40). Step 3: LCM(100, 40) = 200 seconds.
3413
A and B run on a 1500 m circular track at 15 m/s and 25 m/s. When do they meet first at the start?
Answer:
300 s
Step 1: Time for A = 1500 / 15 = 100s. Time for B = 1500 / 25 = 60s. Step 2: Meet at start = LCM(100, 60). Step 3: LCM(100, 60) = 300 seconds.
3414
A and B run on an 800 m circular track at 8 m/s and 10 m/s. When do they meet first at the start?
Answer:
400 s
Step 1: Time for A = 800 / 8 = 100s. Time for B = 800 / 10 = 80s. Step 2: Meet at start = LCM(100, 80). Step 3: LCM(100, 80) = 400 seconds.
3415
A and B start on a 1200 m circular track at 10 m/s and 12 m/s. When will they meet for the first time at the starting point?
Answer:
600 s
Step 1: Time for A to complete one round = 1200 / 10 = 120s. Time for B = 1200 / 12 = 100s. Step 2: Meet at starting point = LCM(120, 100). Step 3: LCM(120, 100) = 600 seconds.
3416
A and B start running simultaneously on a 1000 m circular track at 10 m/s and 15 m/s. When will they meet for the first time at the starting point?
Answer:
200 s
Step 1: Find the time taken by each runner to complete one round. T1 = 1000/10 = 100s, T2 = 1000/15 = 200/3 s. Step 2: Time to meet at the starting point = LCM of T1 and T2. Step 3: LCM(100, 200/3) = LCM(100/1, 200/3) = LCM(100, 200) / HCF(1, 3) = 200 / 1 = 200 seconds.
3417
On a 2000 m circular track, two athletes run in the same direction at 25 m/s and 15 m/s. When will they meet for the first time?
Answer:
200 s
Step 1: Track length = 2000m. Relative speed = 25 - 15 = 10 m/s. Step 2: Time = Distance / Relative Speed. Step 3: Time = 2000 / 10 = 200 seconds.
3418
Two cars race around a 600 m circular track in opposite directions at 20 m/s and 10 m/s. When will they meet for the first time?
Answer:
20 s
Step 1: Track length = 600m. Relative speed = 20 + 10 = 30 m/s. Step 2: Time = Distance / Relative Speed. Step 3: Time = 600 / 30 = 20 seconds.
3419
Two cars race around a 600 m circular track in the same direction at 20 m/s and 10 m/s. When will they meet for the first time?
Answer:
60 s
Step 1: Track length = 600m. Relative speed = 20 - 10 = 10 m/s. Step 2: Time = Distance / Relative Speed. Step 3: Time = 600 / 10 = 60 seconds.
3420
On an 800 m track, two cyclists ride in opposite directions at 12 m/s and 8 m/s. When will they first meet?
Answer:
40 s
Step 1: Track length = 800m. Relative speed = 12 + 8 = 20 m/s. Step 2: Time = Distance / Relative Speed. Step 3: Time = 800 / 20 = 40 seconds.