Maximum sum of the number of saturdays and sundays in a leap year

Question

Question is to find maximum sum of the number of Saturdays and Sundays in a leap year...

I do not have much to show off but I guess in a leap year there would be maximum of $53$ Saturdays/$53$ Sundays but i am not sure if it is possible to have $53$ Saturday and $53$ Saturdays..

So, I guess maximum sum would be $105$.

Could some one tell me if this is correct

I would like to learn something more of this kind and i would be so thankful if some one wants to say something more than this.

me too, when they will put my answer sheet into the omr machine the machine will get hanged :D .. the worst part was darkening by pen :-o ..for that I am gonna miss many marks in B grp — Myshkin, Dec 23 '13 at 07:11

score 3 · Answer 1 · answered Dec 23 '13 at 02:26

3

A regular year has exactly $52$ full weeks, and $1$ day. A leap year has $52$ full weeks, and $2$ days. Were such a year to start on a Saturday, then it would have exactly $53$ full weekends.

answered Dec 23 '13 at 02:26

Lucian

48,334
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simple, elegant... :) +1 – Dec 23 '13 at 03:37

score 2 · Accepted Answer · answered Dec 23 '13 at 02:04

2

On a leap year, there can be 53 of each. Imagine the year starts on a Saturday. if there were only 52 Sundays, then that would mean that there are 365 days (53 Saturdays, 52 of everything else).

1972 is an example of such a year.

answered Dec 23 '13 at 02:04

T.J. Gaffney

1,568

It makes a lot of sense to me.... Thank you.. :) – Dec 23 '13 at 02:07

score 0 · Answer 3 · answered Jan 06 '16 at 01:22

If the leap year started on a Saturday then there would be 53 Saturdays and 53 Sundays in that year. I say this because this year the year starts on a Friday and there are 53 Saturdays, but only 52 Sundays. Whatever days are the 2 extra are the ones that will occur 53 times. In a non-leap year whichever day is the last and first will occur 53 times.

score -1 · Answer 4 · edited Jan 04 '14 at 09:59

-1

answer is $106$ ($52\times7=364$, $2$ days would be sat and sun) i.e. $52+52+2=106$

edited Jan 04 '14 at 09:59

Sepideh Bakhoda

5,816

answered Jan 04 '14 at 09:05

S.P.KISHORE

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It seems the OP is looking for a way to find solutions, not for an answer. – Red Banana Jan 04 '14 at 10:11

Maximum sum of the number of saturdays and sundays in a leap year

4 Answers4