Clocks and Calendars


  1. At what time between 3 o'clock and 4 o'clock will the hands of a clock be together?









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    Here, n = 3 and (n + 1) = 4
    ∴ Two hands will coincide at 60n / 11 min past n

    Correct Option: D

    Here, n = 3 and (n + 1) = 4
    ∴ Two hands will coincide at 60n / 11 min past n
    ⇒ 60 x 3 / 11 min past 3
    ⇒ 180 /11 min past 3.
    ⇒ 164/Sub>11 min past 3


  1. By which of the following a leap year must be divided









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    A leap year must be divisible by 4 as every 4th year is a leap year..

    Correct Option: D

    A leap year must be divisible by 4 as every 4th year is a leap year..



  1. The year next to 1991 will have the same calender as that of the year 1991.









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    Find the number of odd or even days of consequent years..

    Correct Option: D

    For two years having same calendar must have two common conditions: both having same length in terms of number of days and first day of the week.

    The year 1991 has 365 days,,that is 1 odd day , year 1992 has 366 days , i.e. 2 odd days , year 1993 has 365 days i.e. 1 odd day. the years 1994,1995,1996 have 1 odd day each.

    the sum of odd days so calculated from year 1990 to 1996 .
    (1+2+1+1+1+1)=7 odd days. 5

    hence, the year 1997 will have same calendar as that of year 1990.


  1. Which of following is a leap year ?









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    The century year which is completely divisible by 400, is a leap year.

    Correct Option: A

    The century year which is completely divisible by 400, is a leap year. Thus, the year 2800 is a leap year.



  1. A clock is started at 6 O' clock in the morning. Through how many degrees will the hour hand rotate when the clock shows 11 O' clock in the morning ?









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    Angle traced by hour hand in 12 h = 360°

    Correct Option: A

    Angle traced by hour hand in 12 h = 360°
    Angle traced by hour hand in 5 h = (360/12) x 5° = 150°