Correct Answer : Option c
Explanation
Let the time be, t minutes after 4 PM.
In t minutes, the hour hand moves: ½ * t degrees.
The minute hand moves: 6t degrees.
At 4 PM, the hour hand is at 120∘ (since 4 × 30).
We want:
6t − (120 + ½ * t) = 30 (since 5 minutes = 30 degrees)
Simplifying:
6t – 120 – ½ * t = 30
t = 300/11 ≈ 27.27minutes
Hence, option c is correct.
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