Clock - Arithmetic Aptitude Questions and Answers

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

5 min. past 7

5 $\frac { 2 } {11 }$ min.past 7

5 $\frac {3 } {11 }$ min.past 7

5 $\frac {5 } {11 }$

Answer : Option D

Explanation :

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[ $\frac {60 } { 55 }$ x5]min=5 $\frac {5 } {11 }$ min

Required time =5 $\frac {5 } {11 }$ min.past 7.

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