At what time between 2:00 and 3:00 will the minute hand be exactly on top of the hour hand?

Correct option is A

Step 1: Understand the Problem

The hands overlap when the angle between the hour and minute hands is $$0^\circ$$​ .

Step 2: Use the Formula

The angle between the hour and minute hands is given by:
$$\text{Angle} = \lvert (30H - 5.5M) \rvert$$​
where:
- H = Hour
- M = Minutes past the hour.

Set the angle to $$0^\circ$$​ :
30H = 5.5M
Substitute H = 2 :
30 $$\times$$​ 2 = 5.5M
60 = 5.5M
M = $$\frac{60}{5.5} \approx 10.91 \text{ minutes}$$​

Step 3: Write the Time

The time is approximately = 2:10:55.

Final Answer:

The correct answer is (a) 2:10 .