Correct Answer - Option 4 :
\(21\frac{{9}}{{11}}\;\) past 10
At 10’ clock the hour hand is at 10 and minute hand is at 12, it means that the two hands are 10 minutes apart.
To be in the same straight line (but not together), they will be 30 min space apart.
The minute hand will have to gain (30 - 10) = 20 min space over the hour hand.
As we Know, 55 min spaces are gained in 60 min.
10 min will be gained in (60 / 55 x 20) min = 240 / 11 = \(21\frac{{9}}{{11}}\;min.\)
The hands will be in the same straight line but not together at \(21\frac{{9}}{{11}}\;min.\) past 10
Hence, “\(21\frac{{9}}{{11}}\;min.\) past 10” is the given answer.
