The mirror (reflection) of a clock shows 3 hours 45 minutes. What is the actual time shown by the clock?

Introduction / Context:
For a standard mirror image of an analog clock, the rule to find the actual time is to subtract the mirror reading from 11:60 (or 12:00 with careful minute borrowing). This flips the positions appropriately.

Given Data / Assumptions:

• Mirror reading = 3:45.
• We assume a standard vertical mirror (left-right reversal) and a properly functioning clock.

Concept / Approach:
Use the conversion: Actual time = 11:60 − Mirror time (hh:mm). Handle the minute borrowing when necessary.

Step-by-Step Solution:

Verification / Alternative check:
Check with symmetry: 8:15’s mirror indeed looks like 3:45 because 8:15 and 3:45 are complementary to 12:00 in mirror logic.

Why Other Options Are Wrong:
9:30, 9:15, 8:45 are not complements of 3:45 to 11:60; drawing the hands quickly shows mismatched positions.

Common Pitfalls:
Subtracting from 12:00 directly without converting to 11:60 first, which can cause minute-borrowing mistakes.

Final Answer:
8 h 15 min.