At what time between 5 and 6'o clock, are the hour and minute hands of clock will coincide:

$27 \frac{3}{11}$ min past 5

The angle between the hour hand and the minute hand = " 30H - 11 M/2 "

H = 5, angle = 0 degree.

0 = 30 x 5 - 11 x M/2

0 = 150 - 11 x M/2

11 x M/2 = 150

M = 150 x 2/11

M = 300/11

M = 27(3/11)

Thus,  the hour and minute hands of clock will coincide: 27 3/11 min. past 05.