I was born on August 11. Mohan is younger to me by 11 days. This year's independence day falls on Monday. The day on which Mohan's birthday will fall this year will be

18th February, 1997 is Tuesday. So, 17th February, 1998 will also be Tuesday.
Again 16th February, 1999 will also be Tuesday.
Hence, 18th February, 1999 will be Thursday.

26 January, 1996 to 15 August, 2000 days were = 1663
1663 having odd day = 4
? In the year 2000, Independence day will on Tuesday.

Total number of odd days
30 September, 1997-98 = 1
30 September, 1998-99 = 1
30 September, 1999-2000 = 2
30 September, 2000-02 = 1
30 September, 2001-02 = 1
30 September, 2002-03 = 1/7
? Tuesday + 7 = Tuesday
So, the next Tuesday will come on the Mrs Susheela's wedding anniversary in 30th September, 2003

The last day of century cannot be either Tuesday, Thursday or Saturday.

At 6 : 30 A.M. from the formula here P = 6 and Q = 30 so required angle is 11 x 30/2 - 30 x 6 = 165 - 180 = - 15 or ignoring the negative sign the required angle is 15°

At 3 O'clock, then minute hand is 15 min away from the hour hand. To coincide, it must gain 15 min as 55 min are gained in 60 min.
15 min are gained in (60/55) x 15 min = 16⁴/₁₁ min
Hence, the hands are coincide at 16⁴/₁₁ min past 3.

Time from 5 am of a particular day to 10 pm on the 4th day is 89 h. Now, the clock loses 16 min in 24 h or on other words, we can say that 23 h 44 min of this clock is equal to 24 h of the correct clock. or (23 + 44/60)
? 356 h of this clock = 24 h of the correct clock
? 89 h of this clock
= (24 x 15/356 x 89) h of correct clock
= 90 h of the correct clock

26th January (Republic day) 2008
? Friday
Clary, it will be on Wednesday in 2012.

The year 2004 is a leap year. It has 2 odd days. The day on 8th February, 2004 is 2 days before the day on 8th February, 2005.
Hence, this day is Sunday

2nd July, 1984 means (1983 years 6 months and 2 days) 1900 years have 1 odd day 83 years have 20 leap years and 63 ordinary years
= (40 + 63) odd days
= 103
= 5 odd days
6 months and 2 days
Jan 31
Feb 29
Mar 31
Apr 30
May 31
June 30
July 02
= 184 days = 2 odd days
Total number of days = (1 + 5 + 2)
= 8 odd days
= 1 odd day
Hence, it was Monday on 2nd July,1984.