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At what time between 5:30 and 6 O'clock,...

At what time between 5:30 and 6 O'clock, will the hands of a clock be at right angle ?

A

437/11 min past 5

B

412/11 min past 5

C

42 min past 5

D

441/11 min past 5

Text Solution

Verified by Experts

The correct Answer is:
A
At 5 o.clock, the hands are 25 min. spaces apart. To be at right angles and that too between 5.30 and 6, the minute hand has to gain 55min. spaces are gained in 60min. 4min. spaces are gained in (60/55 * 40) min. = 437/11 min Required time = 437/11 min past 5.
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