Question

A year starting with Monday and ending with Tuesday. How many days are there from ${{16}^{th}}$ January to ${{15}^{th}}$ March of that year ?

Answer 1

Hint:We first try to find the characteristics of the year from the given information that the year starts with Monday and ends with Tuesday. We find the number of days we have in individual months, from ${{16}^{th}}$ January to ${{15}^{th}}$ March.

Complete step by step answer:
A standard year has 365 days. In those cases, the number of weeks is 52 and then there remains 1 extra day. So, the year starts and ends on the same day. A leap year has 366 days. In those cases, the number of weeks is 52 and then there remain 2 extra days. So, the year starts and ends on consecutive days. The end day being the next of the starting days.

For the given problem as the year starts with Monday and ends with Tuesday, the year becomes a leap year. So, we will take the number of days in February as 29.We need to find the number of days ${{16}^{th}}$ January to ${{15}^{th}}$ March.
In the month of January, we have $31-16+1=16$ days.
In the month of February, we have 29 days.
In the month of January, we have 15 days.
In total we have $16+29+15=60$ days.

Therefore, there are 60 days from ${{16}^{th}}$ January to ${{15}^{th}}$ March of that year.

Note:The easiest way to find the number of days remaining in a particular month is to subtract the number of days passed from the total number of days in that month. The other case would be to subtract the starting number and then add 1.