How many times do the hands of a clock points towards each other in a day?

From the properties of the clock, we know that hands of a clock coincide once in every hour but between 11 O'clock and 1 O'clock, they coincide only once. Therefore, the hands of a clock coincide 11 time in every 12 h.
Hence, they will coincide (11 x 2) = 22 times in 24 h.
89 h of this clock = 90 h of correct clock
Therefore, it is clear that in 89 h this clock losses 1 h and hence, the correct time is 11 : 00 pm when this clock shown 10 : 00 pm.

In 12 h, they are at a right angles, 22 times.
So, in 24 h, they are at right angles, 44 times.

Number of buzzes in a day
       = 12(12 + 1)/2 x 2 = 156

Anuj reached the place of meeting at 8:15 h, he reached 30 min earlier than the man who was 40 min late, Hence, the scheduled time of the meeting was 8:05 h.

4th observation i.e., 8 is the median.

Here, 363/7 = 51 weeks + 6 days

Each day of the week is repeated after 7 days.
So, after 63 days, it will be Monday.
After 61 days, it will be Saturday.

Everyday of the weeks is repeated after 7 days.
Hence, it will be Wednesday after 84 days.

Everyday of the week is repeated after 7 days. Hence, after 56 days, it would be Thursday again and after 59 days, it would be Sunday.

The century divisible by 400 is a leap year. The year 707 is not a leap year.