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
3431
In a 1000 m race, A beats B by 200 m, and B beats C by 100 m. By what distance does A beat C?
Answer:
280 m
Step 1: Va:Vb = 1000:800 = 10:8. Step 2: Vb:Vc = 1000:900 = 10:9. Step 3: Va:Vc = (10/8) * (10/9) = 100/72 = 1000/720. A beats C by 1000 - 720 = 280m.
3432
In a 400 m race, A beats B by 40 m, and B beats C by 40 m. By what distance does A beat C?
Answer:
76 m
Step 1: Va:Vb = 400:360 = 10:9. Step 2: Vb:Vc = 400:360 = 10:9. Step 3: Va:Vc = 100:81 = 400:324. When A covers 400m, C covers 324m. A beats C by 400 - 324 = 76m.
3433
In a 200 m race, A beats B by 20 m, and B beats C by 20 m. By what distance does A beat C?
Answer:
38 m
Step 1: Va:Vb = 200:180 = 10:9. Step 2: Vb:Vc = 200:180 = 10:9. Step 3: Va:Vc = 100:81 = 200:162. When A covers 200m, C covers 162m. A beats C by 200 - 162 = 38m.
3434
In a 500 m race, A beats B by 50 m, and B beats C by 50 m. By what distance does A beat C?
Answer:
95 m
Step 1: Va:Vb = 500:450 = 10:9. Step 2: Vb:Vc = 500:450 = 10:9. Step 3: Va:Vc = 100:81 = 500:405. When A covers 500m, C covers 405m. A beats C by 500 - 405 = 95m.
3435
In a 100 m race, A beats B by 10 m, and B beats C by 10 m. By what distance does A beat C?
Answer:
19 m
Step 1: Va:Vb = 100:90 = 10:9. Step 2: Vb:Vc = 100:90 = 10:9. Step 3: Va:Vc = 100:81. When A covers 100m, C covers 81m. A beats C by 100 - 81 = 19m.
3436
In a 1000 m race, A beats B by 100 m, and B beats C by 100 m. By what distance does A beat C?
Answer:
190 m
Step 1: A beats B by 100m in 1000m, so ratio of speeds Va:Vb = 1000:900 = 10:9. Step 2: B beats C by 100m in 1000m, so Vb:Vc = 1000:900 = 10:9. Step 3: Va:Vc = (Va/Vb) * (Vb/Vc) = (10/9) * (10/9) = 100/81. In a 1000m race, C runs 810m. A beats C by 1000 - 810 = 190m.
3437
In a game of 300 points, A gives B 60 points and C 96 points. How many points can B give C in a game of 300?
Answer:
45 points
Step 1: When A scores 300, B scores 240 and C scores 204. Step 2: When B scores 240, C scores 204. Step 3: In a game of 300, B gives C: ((240 - 204) / 240) * 300 = (36/240) * 300 = 45 points.
3438
In a game of 90 points, A gives B 18 points and C 34 points. How many points can B give C in a game of 90?
Answer:
20 points
Step 1: When A scores 90, B scores 72 and C scores 56. Step 2: When B scores 72, C scores 56. Step 3: In a game of 90, B gives C: ((72 - 56) / 72) * 90 = (16/72) * 90 = 20 points.
3439
In a game of 120 points, A gives B 30 points and C 45 points. How many points can B give C in a game of 120?
Answer:
20 points
Step 1: When A scores 120, B scores 90 and C scores 75. Step 2: When B scores 90, C scores 75. Step 3: In a game of 120, B gives C: ((90 - 75) / 90) * 120 = (15/90) * 120 = 20 points.
3440
In a game of 80 points, A gives B 20 points and C 32 points. How many points can B give C in a game of 80?
Answer:
16 points
Step 1: When A scores 80, B scores 60 and C scores 48. Step 2: When B scores 60, C scores 48. Step 3: In a game of 80, B gives C: ((60 - 48) / 60) * 80 = (12/60) * 80 = 16 points.