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
3391
In a 300 m race, A beats B by 30 m and C by 57 m. In a 270 m race, by what distance will B beat C?
Answer:
27 m
Step 1: Va:Vb = 300:270 and Va:Vc = 300:243. Step 2: Ratio Vb:Vc = 270:243. Step 3: In a 270 m race, B runs 270m while C runs 243m. B beats C by 270 - 243 = 27 m.
3392
In a 400 m race, A beats B by 40 m and C by 76 m. In a 360 m race, by what distance will B beat C?
Answer:
36 m
Step 1: Va:Vb = 400:360 and Va:Vc = 400:324. Step 2: Ratio Vb:Vc = 360:324. Step 3: In a 360 m race, B runs 360m while C runs 324m. B beats C by 360 - 324 = 36 m.
3393
In a 1000 m race, A beats B by 100 m and C by 190 m. In a 900 m race, by what distance will B beat C?
Answer:
90 m
Step 1: Va:Vb = 1000:900 and Va:Vc = 1000:810. Step 2: Ratio Vb:Vc = 900:810. Step 3: In a 900 m race, B runs 900m while C runs 810m. B beats C by 900 - 810 = 90 m.
3394
In a 500 m race, A beats B by 50 m and C by 95 m. In a 450 m race, by what distance will B beat C?
Answer:
45 m
Step 1: Va:Vb = 500:450 and Va:Vc = 500:405. Step 2: Ratio Vb:Vc = 450:405. Step 3: In a 450 m race, B runs 450m while C runs 405m. B beats C by 450 - 405 = 45 m.
3395
In a 200 m race, A beats B by 20 m and C by 38 m. In a 180 m race, by what distance will B beat C?
Answer:
18 m
Step 1: Va:Vb = 200:180 and Va:Vc = 200:162. Step 2: Ratio Vb:Vc = 180:162. Step 3: In a 180 m race, when B runs 180m, C runs 162m. B beats C by 180 - 162 = 18 m.
3396
In a 100 m race, A beats B by 10 m and C by 13 m. In a 180 m race, by what distance will B beat C?
Answer:
6 m
Step 1: In a 100 m race, Va:Vb = 100:90 and Va:Vc = 100:87. Step 2: Ratio Vb:Vc = 90:87 = 180:174. Step 3: This means in a 180 m race, when B finishes 180 m, C covers 174 m. B beats C by 180 - 174 = 6 m.
3397
A can run 100 m in 10 seconds, and B in 12.5 seconds. How many meters start can A give B?
Answer:
20 m
Step 1: A takes 10s. B takes 12.5s. Step 2: In 10s, B covers (100/12.5) * 10 = 8 * 10 = 80 m. Step 3: Start = 100 - 80 = 20 m.
3398
A can run 400 m in 40 seconds, and B in 50 seconds. How many meters start can A give B?
Answer:
80 m
Step 1: A takes 40s. B takes 50s. Step 2: In 40s, B covers (400/50) * 40 = 320 m. Step 3: Start = 400 - 320 = 80 m.
3399
A can run 800 m in 2 minutes, and B in 2.5 minutes. How many meters start can A give B?
Answer:
160 m
Step 1: A takes 120s. B takes 150s. Step 2: In 120s, B covers (800/150) * 120 = 640 m. Step 3: Start = 800 - 640 = 160 m.
3400
A can run 500 m in 1 minute, and B in 1 minute 15 seconds. How many meters start can A give B?
Answer:
100 m
Step 1: A takes 60s. B takes 75s. Step 2: In 60s, B covers (500/75) * 60 = 400 m. Step 3: Start = 500 - 400 = 100 m.