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
381
In a 1500 m race, A beats B by 300 m or 30 seconds. Find A's time.
Answer:
120 seconds
Step 1: B covers the final 300 m in 30 seconds. Step 2: B's speed = 300 / 30 = 10 m/s. Step 3: B's total time = 1500 / 10 = 150 seconds. A's time = 150 - 30 = 120 seconds.
382
In a 200 m race, A beats B by 20 m or 4 seconds. What is A's time?
Answer:
36 seconds
Step 1: B covers the final 20 m in 4 seconds. Step 2: B's speed = 20 / 4 = 5 m/s. Step 3: B's total time = 200 / 5 = 40 seconds. A's time = 40 - 4 = 36 seconds.
383
In a 1200 m race, A beats B by 120 m or 15 seconds. Find A's time.
Answer:
135 seconds
Step 1: B covers the last 120 m in 15 seconds. Step 2: B's speed = 120 / 15 = 8 m/s. Step 3: B's total time = 1200 / 8 = 150 seconds. A's time = 150 - 15 = 135 seconds.
384
In an 800 m race, A beats B by 80 m or 16 seconds. What is A's time?
Answer:
144 seconds
Step 1: B covers the final 80 m in 16 seconds. Step 2: B's speed = 80 / 16 = 5 m/s. Step 3: B's total time = 800 / 5 = 160 seconds. A's time = 160 - 16 = 144 seconds.
385
In a 400 m race, A beats B by 40 m or 5 seconds. Find A's time.
Answer:
45 seconds
Step 1: B covers the final 40 m in 5 seconds. Step 2: B's speed = 40 / 5 = 8 m/s. Step 3: B's total time = 400 / 8 = 50 seconds. A's time = 50 - 5 = 45 seconds.
386
In a 500 m race, A beats B by 50 m or 10 seconds. What is A's time?
Answer:
90 seconds
Step 1: B covers the final 50 m in 10 seconds. Step 2: B's speed = 50 / 10 = 5 m/s. Step 3: B's total time = 500 / 5 = 100 seconds. A's time = 100 - 10 = 90 seconds.
387
In a 1000 m race, A beats B by 200 m or 25 seconds. Find A's time.
Answer:
100 seconds
Step 1: B covers the final 200 m in 25 seconds. Step 2: B's speed = 200 / 25 = 8 m/s. Step 3: B's total time = 1000 / 8 = 125 seconds. A's time = 125 - 25 = 100 seconds.
388
In a 1000 m race, A beats B by 50 m or 5 seconds. What is A's time over the course?
Answer:
95 seconds
Step 1: B covers the final 50 m in 5 seconds. Step 2: B's speed = 50 / 5 = 10 m/s. Step 3: B's total time = 1000 / 10 = 100 seconds. A's time = 100 - 5 = 95 seconds.
389
In a 1000 m race, A beats B by 100 m or 10 seconds. What is A's time over the course?
Answer:
90 seconds
Step 1: Understand that A beats B by 100 m or 10 seconds. This means B covers the last 100 m in 10 seconds. Step 2: B's speed = 100 m / 10 s = 10 m/s. Step 3: B's total time for 1000 m = 1000 / 10 = 100 seconds. Since A beats B by 10 seconds, A's time = 100 - 10 = 90 seconds.