A clock is started at noon. By 10 minutes past 5, the hour hand has turned through?

  1. 140˚
  2. 145˚
  3. 155˚
  4. 175˚

Answer (Detailed Solution Below)

Option 3 : 155˚
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Detailed Solution

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As we know;

From Noon to 10 minutes past 5 = 5 hrs 10 minutes = 310 minutes

Hour hand moves

1 minute → 1/2˚

310 minutes → 155˚

Hence correct answer will be 155˚.

Alternate MethodThe logic follrowed here is:

Angle traced by hour hand in 12 hrs = 360∘

Angle traced by hour hand in 5 hrs 10 min. i.e.,

31 / 6 hrs = (360 / 12 × 31 / 6) = 155

Hence, the correct answer is "155°".

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