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
3441
In a game of 60 points, A gives B 15 points and C 24 points. How many points can B give C in a game of 60?
Answer:
12 points
Step 1: When A scores 60, B scores 45 and C scores 36. Step 2: When B scores 45, C scores 36. Step 3: In a game of 60, B gives C: ((45 - 36) / 45) * 60 = (9/45) * 60 = 12 points.
3442
In a game of 50 points, A gives B 10 points and C 18 points. How many points can B give C in a game of 50?
Answer:
10 points
Step 1: When A scores 50, B scores 40 and C scores 32. Step 2: When B scores 40, C scores 32. Step 3: In a game of 50, B gives C: ((40 - 32) / 40) * 50 = (8/40) * 50 = 10 points.
3443
In a game of 150 points, A gives B 30 points and C 42 points. How many points can B give C in a game of 150?
Answer:
15 points
Step 1: When A scores 150, B scores 120 and C scores 108. Step 2: When B scores 120, C scores 108. Step 3: In a game of 150, B gives C: ((120 - 108) / 120) * 150 = (12/120) * 150 = 15 points.
3444
In a game of 200 points, A gives B 40 points and C 56 points. How many points can B give C in a game of 200?
Answer:
20 points
Step 1: When A scores 200, B scores 160 and C scores 144. Step 2: When B scores 160, C scores 144. Step 3: In a game of 200, B gives C: ((160 - 144) / 160) * 200 = (16/160) * 200 = 20 points.
3445
In a game of 100 points, A gives B 10 points and C 19 points. How many points can B give C in a game of 100?
Answer:
10 points
Step 1: When A scores 100, B scores 90 and C scores 81. Step 2: So, when B scores 90, C scores 81. Step 3: In a game of 100, B gives C: ((90 - 81) / 90) * 100 = (9/90) * 100 = 10 points.
3446
In a game of 100 points, A can give B 20 points and C 28 points. How many points can B give C in a game of 100?
Answer:
10 points
Step 1: In a game of 100, when A scores 100, B scores 80 (100-20), and C scores 72 (100-28). Step 2: This means when B scores 80, C scores 72. Step 3: For a game of 100, B gives C: ((80 - 72) / 80) * 100 = (8/80) * 100 = 10 points.
3447
In a 300 m race, A runs at 15 m/s. A gives B a start of 30 m and beats him by 10 seconds. What is B's speed?
Answer:
9 m/s
Step 1: A's time = 300 / 15 = 20s. Step 2: B runs 270m and takes 20 + 10 = 30s. Step 3: B's speed = 270 / 30 = 9 m/s.
3448
In a 600 m race, A runs at 12 m/s. A gives B a start of 60 m and beats him by 40 seconds. What is B's speed?
Answer:
6 m/s
Step 1: A's time = 600 / 12 = 50s. Step 2: B runs 540m and takes 50 + 40 = 90s. Step 3: B's speed = 540 / 90 = 6 m/s.
3449
In an 800 m race, A runs at 16 m/s. A gives B a start of 80 m and beats him by 40 seconds. What is B's speed?
Answer:
8 m/s
Step 1: A's time = 800 / 16 = 50s. Step 2: B runs 720m and takes 50 + 40 = 90s. Step 3: B's speed = 720 / 90 = 8 m/s.
3450
In a 1000 m race, A runs at 10 m/s. A gives B a start of 200 m and beats him by 60 seconds. What is B's speed?
Answer:
5 m/s
Step 1: A's time = 1000 / 10 = 100s. Step 2: B runs 800m and takes 100 + 60 = 160s. Step 3: B's speed = 800 / 160 = 5 m/s.