# How many times between 22 pm and 44 pm does the minute hand coincides with second hand.?

How many times between $2$ pm and $4$ pm does the minute hand coincides with second hand.?

options

$a.)\quad 118 \\ b.)\quad 119\\ c.)\quad 120\\ d.)\quad 121\\$

Number of rounds of full circle by second’s hand in 2 hours =$120$.

Number of rounds of full circle by minutes’s hand in 2 hours =$2$.

so is the right answer =$120-2=118$. ?

The right answer given in the book is $121$.

Update :Book’s Solution

“In $2$ hours the minute completes $2$ rounds around the circumference
of the clock’s dial.In the same time, the second hand covers $120$ rounds/
If we count $2$ pm coincedence as the first one , the $4$ pm coincidence would
be the last one.Their would be the total of $121$ coincidences in $2$ hours.

I still doubt on book.