Day arithmetic — If today is Monday, what day is it 64 days from now?

Difficulty: Easy

Correct Answer: Tuesday

Explanation:


Introduction / Context:
Weekday progression repeats every 7 days. To find the future weekday after N days, reduce N modulo 7 and advance that many steps from the starting day.


Given Data / Assumptions:

  • Start day: Monday.
  • Advance: 64 days ahead.
  • Week cycle length: 7 days.


Concept / Approach:
Compute N mod 7. A remainder r means “advance r weekdays.” If r = 0, the weekday is unchanged. If r = 1, move one day forward, etc.


Step-by-Step Solution:

64 ÷ 7 = 9 weeks with remainder 1 (since 7 × 9 = 63).Remainder = 1 ⇒ advance 1 day from Monday.Monday + 1 day = Tuesday.


Verification / Alternative check:

Add 7 days nine times (returns to Monday), then add one more day ⇒ Tuesday.


Why Other Options Are Wrong:

Saturday/Friday/Thursday correspond to different remainders (−2, −3, −4) and do not match 64 mod 7 = 1.


Common Pitfalls:

Using 64/7 ≈ 9.14 and misinterpreting decimals; only the remainder matters.


Final Answer:
Tuesday

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