Explanation:

At 2 O’ clock, the hour hand is at 2 and the minute hand is at 12,

i.e. they are 10 min space apart. To be together,

the minute hand must gain 10 minutes over the other hand. Now, 55 minutes are gained by it in 60 min.
• Therefore, 10 min will be gained in [(60/55) * 10] min = 10 10/11 min.
• Therefore, the hands will coincide at 10 10/11 min. past 2.

Hence, option 2 is the correct answer.