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The sum of the angles swept by minute and hour hands in 54 minutes is324°327°347°351°

Question

The sum of the angles swept by minute and hour hands in 54 minutes is324°327°347°351°

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Solution

The minute hand of a clock sweeps 360° in 60 minutes. Therefore, in 54 minutes, it will sweep (360/60)*54 = 324°.

The hour hand of a clock sweeps 360° in 12 hours (or 720 minutes). Therefore, in 54 minutes, it will sweep (360/720)*54 = 27°.

The sum of the angles swept by the minute and hour hands in 54 minutes is 324° + 27° = 351°.

So, the correct answer is 351°.

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