CSAT 2024

Q. What is the angle between the minute hand and hour hand when the clock shows 4:25 hours?

a) 12.5
b) 15
c) 17.5
d) 20
Correct answer: c) 17.5

Question from UPSC Prelims 2024 CSAT

Explanation : 

1. First, let’s understand how the clock hands move:

Hour hand makes a complete 360° rotation in 12 hours = 360°/12 = 30° per hour
Hour hand also moves 30°/60 = 0.5° per minute
Minute hand makes a complete 360° rotation in 60 minutes = 360°/60 = 6° per minute

At 4:25:

Hour hand:
For 4 hours: 4 × 30° = 120°
For 25 minutes: 25 × 0.5° = 12.5°
Total = 120° + 12.5° = 132.5°

Minute hand:
For 25 minutes: 25 × 6° = 150°

The angle between the hands:
|150° – 132.5°| = 17.5°

Therefore, the correct answer is c) 17.5°

Angle between hour minute hand

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