At what time are the hands of clock together between 7 and 8?

The correct answer is option (3)

M=\(\frac{60}{11}×H\) ⇒ \(\frac{60}{11}×7\) = \(\frac{420}{11}\) = 38\(\frac {2}{11}\)Min

So, the hands of clock will be together at 7:38\(\frac{2}{11}\).