The minute hand of a clock completes a full revolution in 60 minutes, which is equivalent to 360 degrees. Therefore, if the hand of a clock makes 1/4 of a revolution, it will cover 1/4 of 360 degrees, which is 90 degrees.

To determine where the hand will stop, we need to consider the starting position of the hand. In this case, the hand starts at 2 on the clock. Each number on the clock represents a specific angle. The angle between each number is 30 degrees because there are 12 numbers on the clock and 360 divided by 12 equals 30.

Starting from 12 and moving clockwise, we can calculate the angle for each number:
- 12: 0 degrees
- 1: 30 degrees
- 2: 60 degrees
- 3: 90 degrees

As we can see, the angle for 2 is 60 degrees. Since the hand is going to cover an additional 90 degrees (1/4 of a revolution), we can add 90 degrees to the current angle of 60 degrees.

60 degrees + 90 degrees = 150 degrees

Therefore, the hand of the clock will stop at an angle of 150 degrees. Now we need to determine which number represents this angle on the clock.

Using the same calculation as before, we can find that the angle between 2 and 3 is 90 degrees. This means that the angle between 2 and 3 is greater than 150 degrees. Therefore, the hand of the clock will not reach 3. We need to continue counting the angles to find the correct position.

- 4: 120 degrees
- 5: 150 degrees

As we can see, the angle for 5 is 150 degrees, which matches the angle we calculated for the hand of the clock. Therefore, the hand will stop at 5.

Hence, the correct answer is option 'A' - 5.