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At what time between 5 O’clock and 6 O’clock, will the minute hand and hour hand of the clock be at an angle of 95˚ at first time?

At what time between 5 O’clock and 6 O’clock, will the minute hand and hour hand of the clock be at an angle of 95˚ at first time? Correct Answer 5:10

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 = 5 × 30 = 150˚

A2 = 95˚

First time = before meeting both the hands

Time 1 = 2/11(150˚- 95)

Time 1 = 2/11 × 55

Time 1 = 10

Hence, 5:10 will be the time when the angle between both the hands is 95˚ the first time.

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