SSC MTS Model Paper 6

At 1 o'clock, the hour hand is at 1 and the minute hand is at 12.
Thus, they are 5 min spaces apart.
To be together, the minute hand must gain 5 min over the hour hand.
55 min. are gained by minute hand in 60 min.
5 min will be gained by it in
$\left(\frac{60}{55}\times 5\right)=\frac{60}{11}=5\frac{5}{11}\min$
Hence, the hands will coincide at$5\frac{5}{11}$ past.