At what time are the hands of clocks together between 6 and 7?

Options

A. `32(8)/(11)` minutes past 6
B. `34 (8)/(11)` minutes past 6
C. `30(8)/(11)` minutes past 6
D. `32 (5)/(7)` minutes past 6

Answer

A

Explanation

Hands of clock will be together at `32 (8)/(11)` minutes past 6. There are 30 minute spaces between hour and minute hand at 6 O.clock. The minute hand gains 55 minutes in 60 minutes.
`therefore` It will gain 30 minutes in `(60)/(55) xx 33 = 32 (8)/(11)` minutes