Calendar arithmetic — If today is Monday, what day of the week will it be after 59 days?

Difficulty: Easy

Correct Answer: Thursday

Explanation:

Introduction / Context:Day jumps modulo 7 are standard in calendar problems. We need the weekday 59 days after Monday.

Given Data / Assumptions:

  • Week cycle = 7 days.
  • After n days, the weekday shifts by n mod 7 positions forward.

Concept / Approach:Compute 59 mod 7 and add that many steps to Monday.

Step-by-Step Solution:59 ÷ 7 = 8 remainder 3.Shift = +3 days.Monday → Tuesday (1) → Wednesday (2) → Thursday (3).

Verification / Alternative check:Since 56 days is a complete number of weeks, 59 days is 56 + 3, so the weekday is the same as 3 days after Monday.

Why Other Options Are Wrong:Tuesday/Wednesday/Friday correspond to +1/+2/+4 steps; the correct is +3.

Common Pitfalls:Forgetting to take the remainder when dividing by 7; counting inclusively rather than moving forward by exact offsets.

Final Answer:Thursday.

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