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Question

At what time between 6:30 and 7 will the hands of a clock be at right angles?


A

19

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B

49

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C

38

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D

45 min. past 6

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E

59 min. past 6

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Solution

The correct option is B

49


At 6:30, the hands are 2.5 min. spaces apart.

To be at right angles and that too between 6:30 and 7, the minute hand has to gain

(2.5 + 15) = 17.5 min. spaces

55 min. spaces are gained in 60 min.

So,17.5 min. spaces are gained in (6055×17.5)min. = 19111min.

Required time = 49 111min. past 6.


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