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1. At what time between 7 and 8 o'clock will the hands of a clock be in the same straight line but, not together?

Solution:
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 will have to gain only 5 min. spaces.
55 min. spaces are gained in 60 min.
5 min. spaces are gained in
=(6055×5)min.=5511min.Required time=5511min.past7

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