Q. At what time between 7.02 and 8.02 will the hands of a watch be in the straight line but no together?

Explanation by: Mr. Dubey

When the hands of the clock are in the same straight line but not
together, they are 30 minute spaces apart.
At 7 o'clock, they are 25 min. spaces apart.
Minute hand must gain only 5 min. space
55 min. spaces are gained in 60 min.
5 min. spaces are gained in (60/55 × 5) min = 5 (5/11) min.
Required time = 5 (5/11) min. past 7.