It is 3 O'clock in a watch. If the minute hand points towards the North-east, then the hour hand will point towards which direction ?

Options

A. South
B. South-west
C. North-west
D. South-East

Explanation

To solve the problem step by step, we can follow these instructions:

### Step 1: Understand the position of the hands at 3 O'clock
At 3 O'clock, the hour hand points at 3 and the minute hand points at 12 on a standard clock face.

**Hint:** Remember that the clock is divided into 12 hours, and each hour represents 30 degrees (360 degrees/12 hours).

### Step 2: Identify the direction of the minute hand
According to the question, the minute hand is pointing towards the North-east.

**Hint:** Visualize the clock face as a compass where 12 o'clock is North, 3 o'clock is East, 6 o'clock is South, and 9 o'clock is West.

### Step 3: Determine the angle between the minute hand and the hour hand
At 3 O'clock, the hour hand is at 3, which is 90 degrees clockwise from the 12 o'clock position (North). The minute hand at 12 points North.

**Hint:** The hour hand moves 30 degrees for each hour. At 3 O'clock, it is at 90 degrees.

### Step 4: Calculate the direction of the hour hand
Since the minute hand is pointing North-east, we need to find the position of the hour hand by moving 90 degrees clockwise from the North-east direction.

**Hint:** Moving clockwise from North-east (which is 45 degrees) to find the hour hand's direction involves adding 90 degrees.

### Step 5: Find the final direction
Moving 90 degrees clockwise from North-east:
- From North-east (45 degrees), moving 45 degrees takes us to South-east (135 degrees).

**Hint:** Remember that moving clockwise means you are adding angles, so 45 degrees (North-east) + 90 degrees = 135 degrees (South-east).

### Conclusion
Thus, the hour hand will point towards the South-east.

**Final Answer:** The hour hand will point towards South-east.