Today is Monday. After 61 days, which day of the week will it be?

Introduction / Context:
This is a typical calendar question about finding the day of the week a certain number of days ahead. The key is to use the fact that the days of the week repeat every 7 days, so we can reduce the number of days modulo 7.

Given Data / Assumptions:
• Today is Monday.• We want the day after 61 days.• A week has 7 days, so the pattern repeats every 7 days.

Concept / Approach:
If you move forward by multiples of 7 days, you land on the same day of the week. Therefore, we only need the remainder when 61 is divided by 7. That remainder tells us how many steps ahead from Monday we move on the weekly cycle.

Step-by-Step Solution:
Step 1: Compute 61 ÷ 7.Step 2: 7 × 8 = 56, and 61 − 56 = 5, so the remainder is 5.Step 3: This means that after 61 days, the weekday will be 5 days ahead of Monday.Step 4: Count forward 5 days from Monday:• Monday → Tuesday (1)• Tuesday → Wednesday (2)• Wednesday → Thursday (3)• Thursday → Friday (4)• Friday → Saturday (5)Step 5: Therefore, the day will be Saturday.

Verification / Alternative check:
You can also think in blocks: After 56 days (8 full weeks), it is still Monday. Then 5 more days take you to Saturday. Both methods agree.

Why Other Options Are Wrong:
Monday: Would correspond to a multiple of exactly 7 days, not 61.Tuesday or Sunday: These correspond to remainders of 1 or 6 respectively, not 5.

Common Pitfalls:
Some students forget to use modular arithmetic and try to list many days manually, which is error-prone. Others miscount forward on the days-of-the-week chain. Always compute the remainder first and then carefully count the steps.

Final Answer:
After 61 days, it will be Saturday.