Clock and calender


  1. At what time between 9 PM to 10 PM minute hand and hour hand will coincide ?









  1. View Hint View Answer Discuss in Forum

    Consider exactly at 9 : 00, minute hand is at position '12' and hour hand is at '9' hence angle between these two hands at 9 : 00 is 270°
    Since relative speed between them is 11/2° per minute or every minute hand will travel 11/2° more than the hour hand.
    Then will be perpendicular to each other when the minute hand will travel 270° more than the hour hand. And time taken for this is (270)/(11/2) = 540/11 or 49 1/11 minute
    Hence they will be perpendicular to each other at 9 : 49 minute : 0.09 second

    Correct Option: C

    Consider exactly at 9 : 00, minute hand is at position '12' and hour hand is at '9' hence angle between these two hands at 9 : 00 is 270°
    Since relative speed between them is 11/2° per minute or every minute hand will travel 11/2° more than the hour hand.
    Then will be perpendicular to each other when the minute hand will travel 270° more than the hour hand. And time taken for this is (270)/(11/2) = 540/11 or 49 1/11 minute
    Hence they will be perpendicular to each other at 9 : 49 minute : 0.09 second


  1. If 14th October 2005 is Friday then which day is 14th October 2006?









  1. View Hint View Answer Discuss in Forum

    Since in 1 year we have one odd day while in one leap year we have two odd days.
    Number of odd days are 1 (for 2006)
    1 days more than Friday means Saturday.

    Correct Option: B

    Since in 1 year we have one odd day while in one leap year we have two odd days.
    Number of odd days are 1 (for 2006)
    1 days more than Friday means Saturday.


  1. If today is Monday then which day of the week is after 59 days.









  1. View Hint View Answer Discuss in Forum

    Since a day of the week repeat after every 7 days, divide 59 by 7, remainder is 3 so number of odd days is 3, and 3 days after Monday is Thursday.

    Correct Option: C

    Since a day of the week repeat after every 7 days, divide 59 by 7, remainder is 3 so number of odd days is 3, and 3 days after Monday is Thursday.


  1. If 14th October 2005 is Friday then which day is 14th October 2009?









  1. View Hint View Answer Discuss in Forum

    Since in 1 year we have one odd day while in one leap year we have two odd days .
    Number of odd days are: 1(for 2006) + 1(for 2007) + 2 (For leap year 2008) + 1 (for year 2009) so total number of odd days are 1 + 1 + 2 + 1 = 5 days. 5 days more than Friday means Wednesday.

    Correct Option: B

    Since in 1 year we have one odd day while in one leap year we have two odd days .
    Number of odd days are: 1(for 2006) + 1(for 2007) + 2 (For leap year 2008) + 1 (for year 2009) so total number of odd days are 1 + 1 + 2 + 1 = 5 days. 5 days more than Friday means Wednesday.


  1. If 2nd June 2012 is Saturday then which day is 7th July 2012?









  1. View Hint View Answer Discuss in Forum

    Number of days in June is 30 -2 = 28, and number of days in July is 7, total number of days is 28 + 7 = 35, when we divide 35 by 7 remainder is 0, or number of odd days is 0 hence 7th July must be the same day as that of 2nd June i.e. Saturday in this case.

    Correct Option: D

    Number of days in June is 30 -2 = 28, and number of days in July is 7, total number of days is 28 + 7 = 35, when we divide 35 by 7 remainder is 0, or number of odd days is 0 hence 7th July must be the same day as that of 2nd June i.e. Saturday in this case.