Day-of-week cycles — If 94 days ago it was Monday, after how many days from today will it next be Sunday?

Introduction / Context:This problem checks understanding of 7-day modular cycles. If we know the weekday some fixed number of days ago, we can deduce today’s weekday and then count forward to the desired day.

Given Data / Assumptions:

• 94 days ago: Monday.
• Week repeats every 7 days.
• We want the number of days from today to the next Sunday.

Concept / Approach:Compute today’s day first. Since 94 mod 7 = 3, moving forward 94 days shifts the weekday by +3.

Step-by-Step Solution:

Verification / Alternative check:Count directly on fingers or a 7-step cycle: Thu→Fri(1), Sat(2), Sun(3).

Why Other Options Are Wrong:

• 5, 24, 27 days do not match the computed shortest forward gap (3). Since 3 is not listed, the correct choice per the options is “None of these.”

Common Pitfalls:

• Taking 94 mod 7 incorrectly.
• Accidentally counting the current day as day 1 instead of day 0.

Final Answer:None of these (actual gap is 3 days).