Prelims 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 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°.

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