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A Clock Gains 2 Minutes Every Hour. Then the Angle Traversed by the Second Hand in One Minute Is: - Mathematics

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MCQ

A clock gains 2 minutes every hour. Then the angle traversed by the second hand in one minute is: 

Options

  • 360°

  • 370°

  • 390°

  • 372°

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Solution

372°

Explanation:

A gain of a clock in 1 minute `=2/60=1/30`minute

`=1/30xx60=2  "sec"`

Actual Angle rotated by second hand in 1 minute
=360°

Angle rotated by second hand in 2 sec.
`=360^°/60^°xx2=12^°`

Hence, the total angle rotated by second hand
=360° + 120° = 372°

Concept: Clock and Calender (Entrance Exam)
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