Farhan's wall clock was set right at 12 noon, but it gains 5 minutes every hour. It now shows the time in the picture. What is the correct time?

The clock shows 6:43, i.e. 403 min after noon. In every 60 real minutes it runs 65 minutes, so the real time passed is $403\times \frac{60}{65}=372$ min = 6 h 12 min: 6:12 p.m. (6:13 subtracts $5\times 6=30$ min; 6:38 subtracts only 5 min.)