After 9’O clock at what time between 9 pm and 10 pm will

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After 9’O clock at what time between 9 pm and 10 pm will the hour and minute hands of a clock point in opposite direction?

1. 15 minutes past 9
2. 16 minutes past 9
3. 16 4 minutes past 9.
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4. 17 1 minutes past 9.
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Correct Option: C

According to question , we can say that
At 9 O’clock, the minute hand is 9 × 5 = 45 minutes space behind the hour hand.
Hence, the minute hand will have to gain 45 – 30 = 15 minutes.
Therefore, 60 minutes is equal to the gain of 55 minutes spaces.

Hence, gain of 15 minutes spaces equals =	60	x 15
	55

Gain of 15 minutes spaces equals =	180	= 16	4
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Therefore, hour and minute hands of a clock point in opposite direction after 9 O’clock at 4 minutes past 9.
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