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

Question:
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

Answer: Option B

Explanation:

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