Clock and calender
 If 6th March, 2005 is Sunday, what was the day of the week on 6^{th} March, 2002?

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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.
 Tuesday is Sunday. After 69 days, it will be

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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.
 Which of the following is not a leap year?

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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.
 If 1st Jan 2001 is Monday then which day was on 1st Jan 2013.

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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.
 At what time between 3 PM to 4 PM minute hand and hour hand will coincide ?

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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 secondCorrect 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