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

$67\frac{1°}{2}$

Angle = 0 = [ \(\frac{60 x hour - 11 x mins.}{2}\) ]

and, another angle = {360 - 0}°

so,

0 =  [ \(\frac{60 x 5 - 11 x 15}{2}\) ]

=>  \(\frac{300-165}{2}\)°

=> ( \(\frac{135}{2}\) )°

=> 67.5

another angle = {360 - 0}° = (360 - 67.5) °

=> 292.5

Thus, 67 1/2 is correct.