Question

17.
If the first day of a leap year is Monday, the how many Tuesdays will be in
that year?
1) 53
2) 52
3) 54
4) 55​

Answer 1

53

A non-leap year has 365 days

A year has 52 weeks. Hence there will be 52 Sundays for sure.

52 weeks = 52 x 7 = 364 days .

365– 364 = 1 day extra.

In a non-leap year there will be 52 Sundays and 1day will be left.

This 1 day can be Sunday, Monday, Tuesday, Wednesday, Thursday, friday, Saturday, Sunday.

Of these total 7 outcomes, the favourable outcomes are 1.

Hence the probability of getting 53 sundays = 1 / 7.

Answer 2

Given,

If the first day of a leap year is Monday, how many Tuesdays will be in

that year?

1) 53

2) 52

3) 54

4) 55​

Solution,

Know that in a leap year there are $\[366\]$ days.

So, the number of weeks is

$\[\begin{array}{l} = \frac{{365}}{7} + 1\\ = 52\,{\rm{Weeks}} + 1\,{\rm{Day}}\end{array}\]$

So, for sure there are $\[52\]$ days and assume that one extra day is Monday.

Therefore, the total number of Tuesdays in a leap year is $\[52.\]$

Hence, the correct option is (2) i.e. $\[52.\]$