Clocks and Calendars
- 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.
- Today is Friday. After 62 days it will be ?
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Each day of the week is repeated after 7 days
∴ After 63 days, it would be Friday
So, After 62 days, it would be ThursdayCorrect Option: B
Each day of the week is repeated after 7 days
∴ After 63 days, it would be Friday
So, After 62 days, it would be Thursday
- On July, 2, 1985, it was Wednesday the day of the week on July 2, 1984 was ?
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The year 1984 being a leap year, it has 2 odd days. So, the day on 2nd July, 1985 is two days beyond the day on 2nd July, 1984. But, 2nd July 1985 was Wednesday.
Correct Option: C
The year 1984 being a leap year, it has 2 odd days. So, the day on 2nd July, 1985 is two days beyond the day on 2nd July, 1984. But, 2nd July 1985 was Wednesday.
∴ 2nd July, 1984 was Monday
- How many days are three from 2nd January 1993 to 15th march 1993 ?
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No of days = Jan. + Feb. + March
30 + 28 + 15 = 73 daysCorrect Option: B
No of days = Jan. + Feb. + March
30 + 28 + 15 = 73 days
- The year next to 1990 having the same calender as 1998 is ?
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Starting with 1988, we go on counting thye number of odd days till the sum is divisible by 7
Year 1988 odd days = 2
Year 1989 odd days = 1
Year 1990 odd days = 1
Year 1991 odd days = 1
Year 1992 odd days = 2
So total odd days = 7;
∴ Calendar for 1993 is the same as that of 1988.Correct Option: C
Starting with 1988, we go on counting thye number of odd days till the sum is divisible by 7
Year 1988 odd days = 2
Year 1989 odd days = 1
Year 1990 odd days = 1
Year 1991 odd days = 1
Year 1992 odd days = 2
So total odd days = 7;
∴ Calendar for 1993 is the same as that of 1988.