What is the degree of angle between the two hands of a clock when time is 3 : 30 ?

The correct answer is (b).

At 3:30, the hour hand is pointing to the 3 and the minute hand is pointing to the 6. The angle between the two hands is the angle formed by the hour hand and the minute hand, measured from the hour hand to the minute hand.

To calculate the angle, we can use the following formula:

Angle = (360/12) * (hour hand position – minute hand position) + minute hand position

In this case, the hour hand position is 3 and the minute hand position is 6. So the angle is:

Angle = (360/12) * (3 – 6) + 6 = 45 degrees

The other options are incorrect because they do not represent the correct angle between the two hands of a clock at 3:30.