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
3461
In a 1200 m race, the ratio of speeds of A and B is 6:5. What start can A give to B to finish in a dead heat?
Answer:
200 m
Step 1: Speeds ratio is 6:5. Step 2: When A runs 1200m, B runs (5/6) * 1200 = 1000m. Step 3: A can give B a start of 1200 - 1000 = 200m.
3462
In a 600 m race, the ratio of speeds of A and B is 3:2. What start can A give to B to finish in a dead heat?
Answer:
200 m
Step 1: Speeds ratio is 3:2. Step 2: When A runs 600m, B runs (2/3) * 600 = 400m. Step 3: A can give B a start of 600 - 400 = 200m.
3463
In a 500 m race, the ratio of speeds of A and B is 5:3. What start can A give to B to finish in a dead heat?
Answer:
200 m
Step 1: Speeds ratio is 5:3. Step 2: When A runs 500m, B runs (3/5) * 500 = 300m. Step 3: A can give B a start of 500 - 300 = 200m.
3464
In a 1000 m race, the ratio of speeds of A and B is 10:9. What start can A give to B to finish in a dead heat?
Answer:
100 m
Step 1: Speeds are in ratio 10:9. Step 2: When A runs 1000m, B runs (9/10) * 1000 = 900m. Step 3: A can give B a start of 1000 - 900 = 100m.
3465
In a 100 m race, the ratio of speeds of A and B is 4:3. For a dead heat, what start can A give to B?
Answer:
25 m
Step 1: The ratio of speeds is 4:3. When A runs 4m, B runs 3m. Step 2: When A runs 100m, B runs (3/4) * 100 = 75m. Step 3: For a dead heat, the start given by A to B must be 100 - 75 = 25m.
3466
In a 100 m race, the ratio of speeds of A and B is 5:4. For a dead heat, what start can A give to B?
Answer:
20 m
Step 1: The ratio of speeds of A and B is 5:4. This means when A covers 5 units, B covers 4 units. Step 2: In a 100 m race, A covers 100 m. B will cover (4/5) * 100 = 80 m in the same time. Step 3: For a dead heat, A must give B a start of 100 - 80 = 20 m.
3467
In a 200 m race, A takes 25 seconds and B takes 30 seconds. By what distance does A beat B?
Answer:
33.33 m
Step 1: A finishes in 25s. B finishes in 30s. Step 2: B's speed = 200 / 30 = 20/3 m/s. Step 3: In 25 seconds, B covers (20/3) * 25 = 500/3 = 166.67 m. A beats B by 200 - 166.67 = 33.33 m.
3468
In a 1000 m race, A covers the distance in 100 seconds and B in 125 seconds. By what distance does A beat B?
Answer:
200 m
Step 1: A finishes in 100s. B finishes in 125s. Step 2: B's speed = 1000 / 125 = 8 m/s. Step 3: In 100 seconds, B covers 8 * 100 = 800 m. A beats B by 1000 - 800 = 200 m.
3469
In an 800 m race, A finishes in 80 seconds and B in 100 seconds. By what distance does A beat B?
Answer:
160 m
Step 1: A finishes in 80s. B finishes in 100s. Step 2: B's speed = 800 / 100 = 8 m/s. Step 3: In 80 seconds, B covers 8 * 80 = 640 m. A beats B by 800 - 640 = 160 m.
3470
In a 500 m race, A finishes in 50 seconds and B in 60 seconds. By what distance does A beat B?
Answer:
83.33 m
Step 1: A finishes in 50s. B finishes in 60s. Step 2: B's speed = 500 / 60 = 25/3 m/s. Step 3: In 50 seconds, B covers (25/3) * 50 = 1250/3 = 416.67 m. A beats B by 500 - 416.67 = 83.33 m.