What is the angle between the hour and minute hands of a clock at 3 o'clock ? 

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UP Police Constable Re-Exam 2024 Official Paper (Held On: 25 Aug, 2024 Shift 2)
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  1. 30°
  2. 50°
  3. 75°
  4. 90°

Answer (Detailed Solution Below)

Option 4 : 90°
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Detailed Solution

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Given time: 3:00 AM

Formula used: Angle = |30H - \(\frac{{11}}{2}\)M|

Where, M = minutes and H = hours

Here, M = 0, H = 3

Therefore,

we get angle = |30 × 3 - \(\frac{{11}}{2}\) × 0|

= 90 - 0

= 90°

Hence, the correct answer is "Option 4".

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