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
151
What is the angle between the hands of a clock at exactly 5:00?
Answer:
150°
At 5:00, the hands are exactly 5 hour units apart. Multiplying the number of units by the degrees per unit gives 5 × 30° = 150°.
152
What is the angle between the hands of a clock at exactly 4:00?
Answer:
120°
At 4:00, the hands are separated by 4 hour markings. Since each marking corresponds to 30°, the angle between them is 4 × 30° = 120°.
153
What is the angle between the hands of a clock at exactly 3:00?
Answer:
90°
At 3:00, the minute hand points to 12 and the hour hand points to 3. This spans 3 hour markings. 3 × 30° = 90°, making it a perfect right angle.
154
What is the angle between the hands of a clock at exactly 2:00?
Answer:
60°
At 2:00, the minute hand is at 12 and the hour hand is at 2. Since each hour marking represents 30°, the angle between the hands is 2 × 30° = 60°.
155
What is the angle between the hands of a clock at exactly 1:00?
Answer:
30°
At 1:00, the minute hand is perfectly at 12 and the hour hand is exactly at 1. The clock face is divided into 12 sections, each spanning 360° / 12 = 30°. Therefore, the angle is 30°.
156
What is the relative speed of the minute hand with respect to the hour hand?
Answer:
5.5° per minute
The minute hand moves at 6° per minute, and the hour hand moves at 0.5° per minute. Because they move in the same direction, the relative speed is 6° - 0.5° = 5.5° per minute.
157
What is the angle traced by the hour hand of a clock in 1 minute?
Answer:
0.5°
The hour hand completes a full circle of 360° in 12 hours, which equals 720 minutes. Thus, the angle traced by the hour hand in 1 minute is 360° / 720 = 0.5°.
158
What is the angle traced by the minute hand of a clock in 1 minute?
Answer:
6°
The minute hand completes a full circle of 360° in exactly 60 minutes. Therefore, the angle traced by the minute hand in 1 minute is 360° / 60 = 6°.