Question

At what angle are the hands of a clock inclined at $30$ minutes past $6$?

• A. $7\frac{1}{2}$
• B. $11\frac{1}{2}$
• C. $15$
• D. $23$

Answer 1

The correct option is C $15$

Angle between hands of clock $=|30H-\frac{11}{2}M|$
where $H\to$ Hour hand, $M\to$ Minute hand
$\therefore |30\times 6-\frac{11}{2}\times 30|=15$