Question

How many times in a day, the two hands of a clock coincide?

• A. $11$
• B. $12$
• C. $22$
• D. $24$

Answer 1

Answer: (C)

$22$

The hands of a clock coincide $11$ times in every $12$ hours (Since between $11$ and $1$, they coincide only once, i.e., at $12$ o'clock).
$AM$
$12:00,1:05,2:11,3:16,4:22,5:27,6:33,7:38,8:44,9:49,10:55$
$PM$
$12:00,1:05,2:11,3:16,4:22,5:27,6:33,7:38,8:44,9:49,10:55$
The hands overlap about every $65$ minutes, not every $60$ minutes.
The hands coincide $22$ times in a day.