## Clock and calender

#### Clock and calender

1. If 6th March, 2005 is Sunday, what was the day of the week on 6th March, 2002?

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

##### Correct Option: D

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

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

1. 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.

1. Which of the following is not a leap year?

1. 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.

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

1. 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.

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

1. 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