A clock shows 05 : 45 . A plane mirror is kept on the right of the clock , with its plane perpendicular to the face of the clock . What time will be shown by the mirror image ?

Options

A. `06 : 45`
B. ` 05 : 15`
C. ` 06 : 15`
D. `07 : 15`

Answer

To find the time shown by the mirror image of a clock that reads 5:45, we can follow these steps:

### Step 1: Understand the position of the hands
At 5:45:
- The minute hand points at the 9 (45 minutes).
- The hour hand is slightly before the 6 (since it's 5:45).

### Step 2: Visualize the mirror's position
The mirror is placed to the right of the clock, and its plane is perpendicular to the face of the clock. This means that the reflection will be a horizontal flip of the clock.

### Step 3: Calculate the reflected positions
In a mirror:
- The hour hand will reflect to the opposite side of the clock.
- The minute hand will also reflect to the opposite side.

### Step 4: Determine the reflected time
- The minute hand at 9 (45 minutes) will reflect to the 3 (15 minutes).
- The hour hand, which is slightly before 6, will reflect to slightly after 6.

### Step 5: Final time in the mirror
The time shown in the mirror will be:
- The hour hand will be at 6 (but slightly after).
- The minute hand will be at 3 (15 minutes).

Thus, the time shown by the mirror image will be **6:15**.