Question

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

Answer 1

The answer is (43 + 7/11) min past 5.

 If it is 5’O clock, the hands are 25 mins away spaces apart from each other. To be at right angles between 5:30 and 6, the minute hand is supposed to gain 40 mins.

Ideally the 55 min spaces are covered in a time span of 60 minutes, so time taken to cover 40 mins of spaces is 60/55*40=(43 + 7/11) min pats 5.