Dell Clocks & Calendar Questions

The year 2004 is a leap year.
So, it has 2 odd days.
But, Feb 2004 not included because
we are calculating from April 2004 to April 2005.
Thus, it has 1 odd day only.
The day on 8th April, 2005 will be
1 day beyond the day on 8th April, 2004.

y weeks y days = (7y + y) days = 8y days

we know that the angle traced by
the hour hand in one hour is 30º.
The total angle traced by the hour
hand in 19 hours (2 a.m to 9 p.m)
is 30 x 19 = 570º.

Time from 5 a.m. on a day to 10 p.m.
on 4th day = 89 hours.
Now 23 hrs 44 min. of this
clock = 24 hours of correct clock.
Therefore 356 / 15 hrs of this
clock = 24 hours of correct clock.
89 hrs of this clock = (24 x (15/356) x 89) hrs
= 90 hrs
So, the correct time is 11 p.m.

Time from 12 p.m. on Monday to 2 p.m.
on the following Monday = 7 days 2 hours.
=170 hours.
The watch gains = (2 + 4 x 4/5) min
= 34/5 min. in 170 hrs.
Now, 34/5 min are gained in 170 hrs.
2 min are gained in (170 x 5/34 x 2) hrs.
Watch is correct 2 days 2 hrs after 12 p.m. on
Monday, i.e., it will be correct at 2 p.m. on Wednesday.

At 8 o’clock, the hour is at 8 and the
minutes hand is at 12, i.e., the two hands
are 20 min. spaces apart.
So, the minute hand gain = (30 - 20) minutes
= 10 minutes
55 minutes will be gained in 60 min.
10 minutes spaces will be gained in
((60/55) x 10) min. = 100/11 min.
The hands will be in the same straight line
but not together at 100/11 min. past 8

The century divisible by 400 is a leap year.
The year 700 is not a leap year.

100 years consists 24 leap years and 76 non-leap years.
(100th year is not a leap year if it cannot be divided with 400)

Each day of the week is repeated after 7 days.
So, after 63 days, it will be Saturday.
After 59 days, it will be Tuesday

The hands of a clock point in opposite
directions (in the same straight line)
11 times in every 12 hours. (Because
between 5 and 7 they point in opposite
directions at 6 o’clock only). So, in a day,
the hands point in the opposite directions 22 times.