Question

On seventy first Independence day there was Tuesday. After how many years there will be Tuesday on Independence day.
A.4 years
B.5 years
C.6 years
D.7 years

Answer 1

Hint: Here, to find a particular day on the basis of a given day and date firstly, we will find the number of odd days between the given date and the date for which the day is to be determined. We will find the number of years using the concept of leap year.

Complete step-by-step answer:
The day (for a particular date) to be determined, will be that day of the week which is equal to the total number of odd days and this number is counted forward from the given day, in case the given day comes before the day to be determined. It is done by giving names to periods of time, such as days, weeks, months and years.
But as here we are not provided with the year of occurrence of seventy first Independence day, so we will use leap year method.
Leap year occurs for every 4 years. So, Repetition of days also occurs for every 4 years.
For example: Suppose if 15th July was on Monday in the year 2004 then in 2008 15th July will be on Monday only.
Therefore, after 4 years there will be Tuesday on Independence day.

Note: A date is a single, specific day within such a system. Odd days are the number of days that are more than the number of days in a complete week. 1 ordinary year has 1 odd day. 1 leap year has 2 odd days. 100 years has 5 odd days. 200 years has 3 odd days. 300 years has 1 odd day. 400 years has 0 odd days. Last day of a century cannot be Tuesday or Thursday or Saturday because of the number of odd days. But, if the given day comes after the day to be determined, then the same counting is done backward from the given day.