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Clock - General Aptitude

Q1:

At what time between 5.30 and 6 will the hands of a clock be at right angles?

A
43 5 min. past 5
11

B
43 7 min. past 5
11

C 40 min. past 5

D 45 min. past 5

ANS:B -

43 7 min. past 5
11

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 (25 + 15) = 40 min. spaces. 55 min. spaces are gained in 60 min.

40 min. spaces are gained in 60 x 40 min = 43 7 min.
55 11
 Required time = 43 7 min. past 5.
11