Number of odd days between 6^th march 2002 to 6^th march 2003 is 1
Number of odd days between 6^th march 2003 to 6^th march 2004 is 2
Number of odd days between 6^th march 2004 to 6^th march 2005 is 1
Hence total Number of odd days between 6^th march 2002 to 6^th march 2005 is 1 + 2 + 1 = 4 odd days so 6^th march 2002 is 4 days before Sunday i.e. Wednesday.

Correct Option: D

Number of odd days between 6^th march 2002 to 6^th march 2003 is 1
Number of odd days between 6^th march 2003 to 6^th march 2004 is 2
Number of odd days between 6^th march 2004 to 6^th march 2005 is 1
Hence total Number of odd days between 6^th march 2002 to 6^th march 2005 is 1 + 2 + 1 = 4 odd days so 6^th march 2002 is 4 days before Sunday i.e. Wednesday.

When 69 is divided by 7 we will get remainder 6 so the day will be 6 days more than Sunday i.e Saturday.

Correct Option: B

When 69 is divided by 7 we will get remainder 6 so the day will be 6 days more than Sunday i.e Saturday.

The century divisible by 400 is a leap year. 2100 is not divisible by 400 hence is not a leap year.

Correct Option: A

The century divisible by 400 is a leap year. 2100 is not divisible by 400 hence is not a leap year.

Number of years between 2001 to 2013 is 12 years (2013 - 2001 = 12 years)
Number of leap years between 2001 to 2013 is 3, since a year has 1 odd days and a leap year has 2 odd days , so total number of odd days is 12 + 3 = 15 odd days.
When we divide 15 by 7 remainder is 1 or in total we have 1 odd day so 1st jan 2013 is Tuesday.

Correct Option: A

Number of years between 2001 to 2013 is 12 years (2013 - 2001 = 12 years)
Number of leap years between 2001 to 2013 is 3, since a year has 1 odd days and a leap year has 2 odd days , so total number of odd days is 12 + 3 = 15 odd days.
When we divide 15 by 7 remainder is 1 or in total we have 1 odd day so 1st jan 2013 is Tuesday.

Consider exactly at 3 : 00, minute hand is at position '12' and hour hand is at '3' hence angle between these two hands at 3 : 00 is 90°.
Since relative speed between them is 11/2° per minute or every minute the minute hand will travel 11/2° more than the hour hand.
They will be together when the minute hand will travel 90° more than the hour hand. And time taken for this is (90)/(11/2) = 180/11 or 16 4/11 minute.
Hence they will coincide at 3 : 16 minute : 21.81 second

Correct Option: A

Consider exactly at 3 : 00, minute hand is at position '12' and hour hand is at '3' hence angle between these two hands at 3 : 00 is 90°.
Since relative speed between them is 11/2° per minute or every minute the minute hand will travel 11/2° more than the hour hand.
They will be together when the minute hand will travel 90° more than the hour hand. And time taken for this is (90)/(11/2) = 180/11 or 16 4/11 minute.
Hence they will coincide at 3 : 16 minute : 21.81 second