At what time are the hands of clocks together between 5 and 6 ?

M = \(\frac{60}{11}\) × H  ⇒  M = \(\frac{60}{11}\) × 5  = \(\frac{300}{11}\) ⇒ 27\(\frac{3}{11}\) min

So, correct option is 27\(\frac{3}{11}\) minutes past 5.