# 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°