Question
At what time between 7 and 8 oclock will the hands of a clock be in the same straight line but, not together?
Answer: Option D
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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.
So, Minute hand will have to gain only 5 min. spaces.
55 min. spaces are gained in 60 min.
5 min. spaces are gained in \(\left(\frac{60}{55}\times5\right)min.=5\frac{5}{11}min\)
Required time = \(5\frac{5}{11}min. past 7\)
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