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At what time between 8 O’clock and 9 O’clock, will the minute hand and hour hand of the clock be exactly opposite to each other?

At what time between 8 O’clock and 9 O’clock, will the minute hand and hour hand of the clock be exactly opposite to each other? Correct Answer 8:10 10/11

As we know, every angle made two times in every one hour, except 0 degree and 180 degree.

1. Before meeting both the hands.

2. After meeting both hands.

To, find Time we use formula:

Time = 2/11(A1± A2), Where A1 = (Smaller number × 30) and A2 = (Given angle)

Note: We take Plus (+) sign when time is after the meeting both hands and we take minus (-) sign when time is before meeting both the hands.

Here, A1 = 8 × 30 = 240˚

A2 = 180˚

Time 1 = 2/11(240˚- 180) and Time 2 = 2/11 (240 + 180)

Time 1 = 2/11 × 60 and Time 2 = 2/11 × 420

Time 1 = 120/11 and Time 2 = 840/11.

Time 1 = 10 (10/11) and Time 2 = 76 4/11 = 1 hour + 16 (4/11)

Time 2 is after 9 O’ Clock

Thus, Only Time1 is the answer.

Hence, 8: 10 10/11 hours will be the time when hands of the clock will be opposite to each other.

Hence, the correct answer will be option 2.

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