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
3401
A can run 2 km in 6 minutes, and B in 8 minutes. How many meters start can A give B?
Answer:
500 m
Step 1: A takes 360s. B takes 480s. Step 2: In 360s, B covers (2000/480) * 360 = 1500 m. Step 3: Start = 2000 - 1500 = 500 m.
3402
A can run 1 km in 4 minutes, and B in 4 minutes 10 seconds. How many meters start can A give B?
Answer:
40 m
Step 1: A takes 240s. B takes 250s. Step 2: In 240s, B covers (1000/250) * 240 = 4 * 240 = 960 m. Step 3: Start = 1000 - 960 = 40 m.
3403
A can run 1 km in 2 minutes, and B in 2 minutes 30 seconds. How many meters start can A give B?
Answer:
200 m
Step 1: A takes 2 mins. B takes 2.5 mins. Step 2: In 2 mins, B covers (1000/2.5) * 2 = 400 * 2 = 800 m. Step 3: Start = 1000 - 800 = 200 m.
3404
A can run 1 km in 5 minutes, and B in 6 minutes. How many meters start can A give B?
Answer:
166.67 m
Step 1: A completes 1000 m in 5 mins. B completes 1000 m in 6 mins. Step 2: In 5 mins, B covers (1000/6) * 5 = 5000/6 = 833.33 m. Step 3: Start = 1000 - 833.33 = 166.67 m.
3405
A can run 1 km in 3 minutes, and B in 4 minutes. How many meters start can A give B so they finish together?
Answer:
250 m
Step 1: A completes 1000 m in 3 mins. B completes 1000 m in 4 mins. Step 2: In 3 mins, B covers (1000/4) * 3 = 750 m. Step 3: Start = 1000 - 750 = 250 m.
3406
A can run 1 km in 4 minutes, and B in 5 minutes. How many meters start can A give B in a 1 km race so they finish together?
Answer:
200 m
Step 1: A completes 1000 m in 4 minutes. B completes 1000 m in 5 minutes. Step 2: In A's time (4 mins), B covers (1000/5) * 4 = 800 m. Step 3: To finish together, A must give B a start of 1000 - 800 = 200 m.
3407
A and B run on an 1800 m circular track at 18 m/s and 30 m/s. When do they meet first at the start?
Answer:
300 s
Step 1: Time for A = 1800 / 18 = 100s. Time for B = 1800 / 30 = 60s. Step 2: Meet at start = LCM(100, 60). Step 3: LCM(100, 60) = 300 seconds.
3408
A and B run on a 1600 m circular track at 16 m/s and 20 m/s. When do they meet first at the start?
Answer:
400 s
Step 1: Time for A = 1600 / 16 = 100s. Time for B = 1600 / 20 = 80s. Step 2: Meet at start = LCM(100, 80). Step 3: LCM(100, 80) = 400 seconds.
3409
A and B run on a 1000 m circular track at 20 m/s and 25 m/s. When do they meet first at the start?
Answer:
200 s
Step 1: Time for A = 1000 / 20 = 50s. Time for B = 1000 / 25 = 40s. Step 2: Meet at start = LCM(50, 40). Step 3: LCM(50, 40) = 200 seconds.
3410
A and B run on a 900 m circular track at 9 m/s and 15 m/s. When do they meet first at the start?
Answer:
300 s
Step 1: Time for A = 900 / 9 = 100s. Time for B = 900 / 15 = 60s. Step 2: Meet at start = LCM(100, 60). Step 3: LCM(100, 60) = 300 seconds.