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
Correct Answer: Option A
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 \(\left(\frac{60}{55}\times5\right)\) min = \(5\frac5{11}\) min
so, Required time =\(5\frac5{11}\) min past 7
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