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

A (43 + 5/11) min past 5

B (43 + 7/11) min pats 5

C 5

D 7

Solution

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 \(\frac{60}{55}\times40\) min

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