MAH-CET 2026 — Reasoning PYQ

Method 1: Using the Direct Formula

The standard formula to find the angle $\theta$ between the hour hand and the minute hand is:

$$\theta =\left|30H-\frac{11}{2}M\right|$$

Where:

• $H=\text{Hours}=6$

• $M=\text{Minutes}=30$

Substitute the values into the formula:

$$\theta =\left|30(6)-\frac{11}{2}(30)\right|$$

$$\theta =|180-11\times 15|$$

$$\theta =|180-165|$$

$$\theta =15^{\circ }$$

Correct Answer

The smaller angle between the hands at 6:30 is $15^{\circ }$.

The correct option is (b) $15^{\circ }$.