The angle between the minute hand and the hour hand of a clock when the time is 4.20 is:

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OSSC Junior Stenographer, Junior Typist (Prelims) Official Paper (Held On: 09 Feb, 2025)
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  1. 10°
  2. 15°

Answer (Detailed Solution Below)

Option 3 : 10°
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Detailed Solution

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Given:

Time = 4:20.

Formula Used:

Angle between the hour and minute hand = \( |(30 × H - (11/2) × M)| \)

Calculation:

H = 4

M = 20

Angle = \( |(30 × 4 - (11/2) × 20)| \)

⇒ Angle = \( |(120 - 110)| \)

⇒ Angle = \( |10| \)

⇒ Angle = 10º

The angle between the minute hand and the hour hand of the clock at 4:20 is 10º.

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