A clock seen through a mirror shows ‘quarter to seven’. What is the correct time shown by the clock?

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1. **Interpret the given time:**  
   - "Quarter to seven" means the clock shows **6:45**.

2. **Calculate the mirror image time:**  
   - To find the actual time, subtract the given time from **12:00**.  
   - Perform the calculation:  
     $$12 : 00 - 6 : 45 = 5 : 15$$.

3. **Conclusion:**  
   - The correct time shown by the clock is **5:15**.

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