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
51
Find the smaller angle between the hands of a clock at 06:28.
Answer:
26.0
Step-by-step solution: 1. Hour hand moves 0.5° per minute; minute hand moves 6° per minute. 2. Hour hand angle = 30*6 + 0.5*28 = 194.00°. 3. Minute hand angle = 6*28 = 168°. 4. Difference = 26.0° (smaller angle).
52
How many degrees does the minute hand move in the same time the hour hand moves by 15°?
Answer:
180°
The hour hand moves 0.5° per minute. To move 15°, it requires 15 / 0.5 = 30 minutes. In 30 minutes, the minute hand moves 30 × 6° = 180°.
53
An accurate clock shows 8 o'clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 2 o'clock in the afternoon?
Answer:
180°
From 8 AM to 2 PM is exactly 6 hours. Because the hour hand moves exactly 30° per hour, the total rotation is 6 × 30° = 180°.
54
A clock strikes 4 times in 6 seconds. How long will it take to strike 8 times?
Answer:
14 seconds
Striking 4 times creates 3 intervals. 3 intervals take 6 seconds, so each interval takes exactly 2 seconds. Striking 8 times creates 7 intervals. Therefore, 7 intervals × 2 seconds = 14 seconds.
55
A clock strikes 6 times in 10 seconds. How long will it take to strike 12 times?
Answer:
22 seconds
Striking 6 times creates 5 distinct time intervals between the strikes. These 5 intervals take 10 seconds, meaning each interval takes 2 seconds. Striking 12 times creates 11 intervals. 11 intervals × 2 seconds = 22 seconds.
56
How many times do the hands of a clock form a straight line in 24 hours?
Answer:
44
Because the hands form a straight line 22 times in a 12-hour shift, they will inevitably form a straight line 22 × 2 = 44 times over 24 hours.
57
How many times do the hands of a clock form a straight line in 12 hours?
Answer:
22
A straight line includes both coinciding (11 times) and pointing in opposite directions (11 times). Therefore, the total is 11 + 11 = 22 times in 12 hours.
58
How many times are the hands of a clock at right angles in 24 hours?
Answer:
44
Since the hands form right angles 22 times within any 12-hour period, they will form right angles 22 × 2 = 44 times in a full 24-hour day.
59
How many times are the hands of a clock at right angles in 12 hours?
Answer:
22
Normally, hands are at right angles twice every hour. However, between 2:00 and 4:00, and between 8:00 and 10:00, they form right angles only 3 times instead of 4. This reduces the total to 22 times in 12 hours.
60
How many times do the hands of a clock point in opposite directions in 24 hours?
Answer:
22
Because the hands point in opposite directions 11 times every 12 hours, they will do so 11 × 2 = 22 times throughout a complete 24-hour period.