Question

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

A
5 min. past 7
B
5211 min. past 7
C
5311 min. past 7
D
5511 min. past 7

Solution

## The correct option is D $$5\displaystyle\frac{5}{11}$$ min. past $$7$$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.$$\therefore$$  Minute hand will have to gain only $$5$$ min. spaces.$$55$$ min. spaces are gained in $$60$$ min.$$5$$ min. spaces are gained in $$\left( \displaystyle\frac { 60 }{ 55 } \times 5 \right)$$ min. $$=5\displaystyle\frac{5}{11}$$ min.$$\therefore$$  Required time $$=5\displaystyle\frac{5}{11}$$ min. past $$7$$Logical Reasoning

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