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COMEDK2018MathematicsBasics of Mathematics

The angle between hands of a clock when the time is 4.25 AM is signed to

Options

  1. A171 / 2^
  2. B141 / 2^
  3. C131 / 2^
  4. D121 / 2^

Correct answer

A. 171 / 2^

Step-by-step solution

Angle traced by the hour hand in 12 ~h =360^ Anlge traced by it in 4 ~h 25 ~min , i.e. aligned 4 5 12 h &= 53 12 h &= 360 12 53 12 = 265 2 =132 1^ 2 aligned Angle traced by it in 25 ~min = 360^ 60^ 25=150^ Now, required angle = (150^ -132 1^ 2 )=17 1^ 2

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