The reflection of a clock in the mirror is 3 h 45 min. What is the actual time shown in the clock?

2 h 20 min = 140 min
In every hour the minute hand move over 360°.
So, in every minute it will move 360°/60° = 6°
So, in 140 min the minute hand will move over = 6 x 140° = 840°

Angle traced by hour hand in 12 h = 360°
Angle traced by hour hand in 5 h = (360/12) x 5° = 150°

The century year which is completely divisible by 400, is a leap year. Thus, the year 2800 is a leap year.

Count the number of odd days from the year 2002 onwards to get the sum equals to 0 odd day.

Years 2002 2003 2004 2005 2006 2007
Odd days 1 1 2 1 1 1

Sum = 7 odd days = 0 odd day
Calender for the year 2008 is the same as that for the year 2002.

A leap year must be divisible by 4 as every 4th year is a leap year..

Pries gave the information to the devotee at 7 :05 am .

In every hour the hand of clock are right angles 2 times, so in a days i.e., 24 h they will be at right angle 48 times.

If the first Saturday of June is in lst. Then, next Saturday will be on 8th, 15th , 22nd and 29th. So , last Saturday will be on 29th.

At 1 O' clock the the hour hand is at 1 and the minute hand is at 12.
Thus, they are 5 min spaces apart.
To be together, the minute hand must gain 5 min over the hour hand .
55 min are gained by minute hand in 60 min.
5 min will be gained by it in = (60/55 x 5 ) = 60/11 = 5⁵/₁₁ min
Hence, the hands will coincide at 5⁵/₁₁ min past 1 .

Normally, hands of a watch coincide after 65⁵/₁₁ min.
So, loss per hour = 1⁵/₁₁ min
? Loss per day = 24 x 1⁵/₁₁ = 24 x 16/11
= 34¹⁰/₁₁ min