At time 1.10 pm the angle between two arms of a clock is

The correct answer is (c).

At 1.10 pm, the hour hand is between 1 and 2, so it is pointing at an angle of $\frac{1}{12} \times 360^\circ = 30^\circ$. The minute hand is pointing at 10, so it is pointing at an angle of $\frac{10}{60} \times 360^\circ = 60^\circ$. The angle between the two hands is therefore $60^\circ – 30^\circ = 30^\circ$.

(a) is incorrect because the hour hand is not pointing at 2.
(b) is incorrect because the angle between the two hands is not 25 degrees.
(d) is incorrect because the angle between the two hands is not 35 degrees.