Day-of-week after a fixed span — Today is Monday. What day will it be after 61 days?

Difficulty: Easy

Correct Answer: Saturday

Explanation:


Introduction / Context:
Weekday progression repeats every 7 days. To find the day after a given number of days, reduce the number modulo 7 and shift forward from the starting day by that remainder.



Given Data / Assumptions:

  • Start: Monday.
  • Advance: 61 days.
  • 7-day cycle modulo arithmetic applies.


Concept / Approach:
Compute 61 mod 7 for the net shift. 7 × 8 = 56; 61 − 56 = 5. So we move 5 days ahead from Monday.



Step-by-Step Solution:
Remainder = 61 mod 7 = 5.From Monday, +5 → Tuesday (1), Wednesday (2), Thursday (3), Friday (4), Saturday (5).Target day: Saturday.



Verification / Alternative check:
61 = 56 + 5 = 8 full weeks + 5 days; eight full weeks return to Monday; five more days reach Saturday.



Why Other Options Are Wrong:
Wednesday (+2), Tuesday (+1), Thursday (+3) do not match the remainder 5.



Common Pitfalls:
Starting count at 0 rather than 1, which would shift all results by one day.



Final Answer:
Saturday

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