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

A 43(5/11) min. past 5

B 43(7/11)min. past 5

C 40 min. past 5

D 45 min. past 5

Correct Answer: Option B

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 ((60/55) ×40) min. = 43(7/11) min.

So, Required time = 43(7/11) min. past 5.