The maximum gap between two successive leap year is?
(A) 4
(B) 8
(C) 2
(D) 1
Solution:
This can be illustrated with an example. Ex: 1896 is a leap year.The next leap year comes in 1904 (1900 is not a leap year). Explanation : The length of the solar year, however, is slightly less than 365$$\frac{1}{4}$$ days-by about 11 minutes. To compensate for this discrepancy, the leap year is omitted three times every four hundred years. In other words, a century year cannot be a leap year unless it is divisible by 400. Thus 1700, 1800, and 1900 were not leap years, but 1600, 2000, and 2400 are leap years.
22.
How many times does the 29th day of the month occur in 400 consecutive years?
(A) 4487 times
(B) 4457 times
(C) 4497 times
(D) 4447 times
Solution:
In 400 consecutive years there are 97 leap years. Hence, in 400 consecutive years February has the 29th day 97 times and the remaining eleven months have the 29th day 400 × 11 or 4400 times. Thus the 29th day of the month occurs = 4400 + 97 = 4497 times.
23.
Today is 3rd November. The day of the week is Monday. This is a leap year. What will be the day of the week on this date after 3 years?
(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday
Solution:
This is a leap year. So, none of the next 3 years will be leap years. Each year will give one odd day so the day of the week will be 3 odd days beyond Monday i.e. it will be Thursday.
24.
On 2007, What was the date of last Saturday in May month?
(A) 22th May
(B) 24th May
(C) 26th May
(D) 28th May
Solution:
1 - May - 2007 $$\eqalign{ & = \frac{{1 + 2 + 7 + 1 + 6}}{7} \cr & = \frac{{17}}{7} \cr & = 3 \cr & = {\text{Tuesday}} \cr} $$ = May 1st → Tuesday + 5 days = Saturday = 5th may 5th may + 7 days = Saturday = 12th may 12th may + 7 days = Saturday = 19th may 19th may + 7 days = Saturday = 26th may = Answer = 26th may
25.
If 1st October is Sunday, then 1st November will be
(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday
Solution:
Given that 1st October is Sunday Number of days in October = 31 31 days = 3 odd days (As we can reduce multiples of 7 from odd days which will not change anything) Hence 1st November = (Sunday + 3 odd days) = Wednesday
26.
Suppose today is Friday, what day of the week will it be 65 days from now?
(A) Saturday
(B) Sunday
(C) Friday
(D) Thursday
Solution:
The day of the week repeats every 7 days. Given today is Friday. Again Friday is repeated on the 7th day, 14th,... on 7 multiple days. Hence, Friday is on the 63rd day, as 63 is multiple of 7. Now, the required day of the week on the 65th day is Sunday.
27.
On 17th March, 1997 Monday falls. What day of the week was it on 17th March, 1996?
(A) Monday
(B) Tuesday
(C) Saturday
(D) Sunday
Solution:
The year 1996 is a leap year. So, it has 2 odd days. But 17th March comes after 29th February. So, the day on 17th March, 1997 will be 1 day beyond the day on 17th March,1996. Here 17th March, 1997 is Monday. So, 17th March, 1996 is Sunday.
28.
Which of the following is not a leap year?
(A) 700
(B) 800
(C) 1200
(D) 2000
Solution:
The century divisible by 400 is a leap year. ∴ The year 700 is not a leap year.
29.
Second & fourth Saturdays and every Sunday is a holiday. How many working days will be there in a month of 31 days beginning on a Friday ?
(A) 24 days
(B) 23 days
(C) 22 days
(D) 25 days
Solution:
Given that the month begins on a Friday and has 31 days Sundays = 3rd, 10th, 17th, 24th, 31st ⇒ Total Sundays = 5 Every second & fourth Saturday is holiday. 2nd & 4th Saturday in every month = 2 Total days in the month = 31 Total working days = 31 - (5 + 2) = 24 days.
30.
01-Jan-2007 was Monday. What day of the week lies on 01-Jan-2008?
(A) Monday
(B) Tuesday
(C) Wednesday
(D) Thursday
Solution:
Given that January 1, 2007 was Monday. Odd days in 2007 = 1 (we have taken the complete year 2007 because we need to find out the odd days from 01-Jan-2007 to 31-Dec-2007, that is the whole year 2007) Hence January 1, 2008 = (Monday + 1 Odd day) = Tuesday