# 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 Paper

**Explanation:**

## Angle between the minute hand and hour hand at 4:25 hours

Let’s approach this step-by-step:

1) First, let’s calculate how many degrees each hand moves per minute:

– Hour hand: 360° ÷ (12 hours × 60 minutes) = 0.5° per minute

– Minute hand: 360° ÷ 60 minutes = 6° per minute

2) At 4:25:

– The hour hand has moved from 4 o’clock by: 25 × 0.5° = 12.5°

– So the hour hand is at: (4 × 30°) + 12.5° = 132.5°

– The minute hand is at: 25 × 6° = 150°

3) The angle between the hands is the absolute difference:

150° – 132.5° = 17.5°

Therefore, the correct answer is c) 17.5°.