Question

the maximum number of Sundays is 3 consecutive calender months is :

Answer 1

I think it would be 13 Sundays because in one month 5 Sundays could be there

Answer 2

There can be maximum 14 Sundays.

Step-by-step explanation:

Let the three consecutive months have 31, 30, and 31 days.

So, there are (31 + 30 + 31) = 92 days maximum in three consecutive three months.

Now, if we assume that the first month starts with a Sunday, then 8th day, 15th day, 22nd day, 29th day, 36th day, 43rd day, 50th day, 57th day, 64th day, 71st day, 78th day, 85th day, 92nd day will be the Sundays.

So, there is a series 1, 8, 15, ....., 92, which is an A.P. with first term 1 and the common difference is 7 and if the nth term is 92, then

92 = 1 + (n - 1)7

⇒ (n - 1) = 13

⇒ n = 14.

So, there can be a maximum 14 Sundays. (Answer)