At what time between 7 and 8 O' clock, will the hands of a watch point in opposite direction ?

$5\frac{5}{11}$ min past 7

When both the hands in opposite direction, then minute hand will be ahead of 30 — 25 = 5 minutes space.

We know minute hand stay 55 minutes space ahead in 60 minutes. So, it stays 5 minutes space ahead in 6ox5/55 = 5 5/11 minutes.

Thus, both the hands will be in opposite directions at 5 5/11 minutes after 7 o'clock.