The angle between the hour hand and the minute hand of a clock when time is 4 : 25 PM wil be :

$17\frac{1°}{2}$

The minute hand of the clock will be at 25°/60° x 360° = 150

The hour hand of the clock will be between 4 and 5 in ratio 25:35.

Angle at $4$ AM $={120}^{}$° and angle at $5$ AM $={150}^{}$°

Angle at $4:25$ AM $=>\; 35\; x\; 120\; +\; 150\; x\; 25\; divided\; by\; 35\; +\; 25$$=>\; 132\; 1/2$°

(( Angle between two hands = 150° - 132 1/2 => 17 1/2° ))

Thus, 17 1/2° is correct.