Mathematics/General Ability MCQs
Topic Notes: Mathematics/General Ability
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
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
351
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.
352
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.
353
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.
354
In a 500 m race, A runs at 25 m/s. A gives B a start of 50 m and beats him by 10 seconds. What is B's speed?
Answer:
15 m/s
Step 1: A's time = 500 / 25 = 20s. Step 2: B runs 450m and takes 20 + 10 = 30s. Step 3: B's speed = 450 / 30 = 15 m/s.
355
In a 1000 m race, A runs at 20 m/s. A gives B a start of 100 m and beats him by 10 seconds. What is B's speed?
Answer:
15 m/s
Step 1: A's time = 1000 / 20 = 50s. Step 2: B runs 900m and takes 50 + 10 = 60s. Step 3: B's speed = 900 / 60 = 15 m/s.
356
In a 400 m race, A runs at 8 m/s. A gives B a start of 40 m and beats him by 10 seconds. What is B's speed?
Answer:
6 m/s
Step 1: A's time = 400 / 8 = 50s. Step 2: B runs 360m and takes 50 + 10 = 60s. Step 3: B's speed = 360 / 60 = 6 m/s.
357
In a 200 m race, A runs at 10 m/s. A gives B a start of 20 m and beats him by 10 seconds. What is B's speed?
Answer:
6 m/s
Step 1: A's time = 200 / 10 = 20s. Step 2: B runs 180m and takes 20 + 10 = 30s. Step 3: B's speed = 180 / 30 = 6 m/s.
358
In a 100 m race, A runs at 10 m/s. A gives B a start of 10 m and beats him by 5 seconds. What is B's speed?
Answer:
6 m/s
Step 1: A's time = 100 / 10 = 10s. Step 2: B runs 90m and takes 10 + 5 = 15s. Step 3: B's speed = 90 / 15 = 6 m/s.
359
In a 100 m race, A runs at 5 m/s. A gives B a start of 20 m and beats him by 5 seconds. What is B's speed?
Answer:
3.2 m/s
Step 1: A's time = Distance / A's speed = 100 / 5 = 20s. Step 2: A gives B a 20m start (so B runs 80m) and beats him by 5s, meaning B takes 20 + 5 = 25s. Step 3: B's speed = B's distance / B's time = 80 / 25 = 3.2 m/s.
360
In a 900 m race, the ratio of speeds of A and B is 9:8. What start can A give to B to finish in a dead heat?
Answer:
100 m
Step 1: Speeds ratio is 9:8. Step 2: When A runs 900m, B runs (8/9) * 900 = 800m. Step 3: A can give B a start of 900 - 800 = 100m.