Question

If the first day of the year (other than the leap year) was Friday, then which was the last day of that year ?

• A. Monday
• B. Wednesday
• C. Friday
• D. Saturday

Hint:

An ordinary year starts and ends on the same day of the week.
A leap year (which has 366 days) ends on the day of the week *after* the day it started.
Remembering these two rules lets you solve calendar problems instantly.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
This is a calendar reasoning problem.
We are asked to find the last day of an ordinary (non-leap) year, given the day of the week of its first day.
An ordinary year contains a specific number of days, and we can use the concept of "odd days" to find the day of the week for any date.

Step 2: Key Formula or Approach:
An ordinary year has exactly 365 days.
The first day of the year is January 1st, and the last day is December 31st.
The number of days between the first day and the last day of the year is:
\[ 365 - 1 = 364 \text{ days} \] We divide this difference by $7$ to find the number of weeks and the remaining "odd days".

Step 3: Detailed Explanation:

• Calculate the Number of Odd Days:
The total days between January 1st and December 31st is $364$ days.
Divide $364$ by $7$:
\[ \frac{364}{7} = 52 \text{ weeks with } 0 \text{ remainder.} \] Since the remainder is $0$, there are $0$ odd days between the first and last day of the year.

• Determine the Day of the Week:
Since there are $0$ odd days, the day of the week of December 31st is exactly the same as January 1st.
Given that January 1st was Friday, December 31st must also be Friday.

Step 4: Final Answer:
The last day of that year was Friday.
Therefore, the correct option is (C).