Question

At 2.15 o'clock the hour and minute hands of clock form an angle of:

• A. ${30}^o$
• B. $7\frac{1^o}{2}$
• C. $22\frac{1^o}{2}$
• D. $5^o$

Answer 1

The correct option is C $22\frac{1^o}{2}$

At $2.15$ o'clock, the hour hand is between 2 and 3 while the minute hand is exactly on 3.

The angle between the two hands would depend on the angle turned by the hour hand.

An hour hand covers ${30}^o$ in $60$ minutes and so similarly, it would cover ${7.5}^o$ in $15$ minutes.

Thus, the angle between hour and minute hand becomes $30-7.5={22.5}^o$