Find the approximate angle between the minute hand and the hour hand of a 12-hour clock when the time is 9 ∶ 25.

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  1. 150 degrees
  2. 100 degrees
  3. 190 degrees
  4. 130 degrees

Answer (Detailed Solution Below)

Option 4 : 130 degrees
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Detailed Solution

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Given: a 12-hour clock when the time is 9 ∶ 25.

Formula used:

\(\text{Angle between the minute hand and the hour hand}={(60 \:H - 11\:M)\over 2}\)

where H represents hour and M represents minutes.

Calculation:

\(\text{Angle between the minute hand and the hour hand}={(60 \times9\: - \:11\times25)\over 2}\)

\(\text{Angle between the minute hand and the hour hand}={265\over 2} = 132.5^\circ\)

Thus, the approximate angle between the minute hand and the hour hand is ' \(\textbf{130}^\circ\: \)'.

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