At what angle the hour hand and minute hand of a clock are inclined at 15 minutes past 5?

$67 \frac{1°}{2}$

Time = 15mins past 5

Angle = 0 = (60 x hour - 11 x min.) /2

another angle = (360 - 0)°

=> 0 = (60 x 5 - 11 x 15) /2

=> (300 - 165) /2° => (135/2)°

=> 67.5°

and another angle => (360 - 67.5)° = 292.5°

Thus, $67 \frac{1°}{2}$ is correct.