Calendar arithmetic — If 14 October 2005 was a Friday, then what day of the week was 14 October 2006?

Difficulty: Easy

Correct Answer: Saturday

Explanation:


Introduction / Context:
Day-of-week problems rely on year lengths and leap-year adjustments. We move exactly one calendar year forward from 14 Oct 2005 to 14 Oct 2006.


Given Data / Assumptions:

  • 14 Oct 2005 is Friday.
  • 2006 is not a leap year.
  • From a date to the same date next year, the weekday advances by 1 day if the year in between has 365 days (non-leap), or by 2 days if 366 (leap).


Concept / Approach:
Count the day shift over one year. 2006 (the year reached) does not matter; what matters is whether the elapsed year length between the dates is 365 or 366.


Step-by-Step Solution:
Elapsed length from 14 Oct 2005 to 14 Oct 2006 = 365 days.A 365-day shift advances the weekday by +1.Friday + 1 = Saturday.


Verification / Alternative check:
Since neither Feb 29 nor a leap-day crossing occurs in this one-year span (2006 is not leap), the +1 shift is consistent.


Why Other Options Are Wrong:
Tuesday/Thursday/Friday correspond to +3/–1/0 shifts respectively; the correct shift here is +1.


Common Pitfalls:
Looking at the property of the destination year (2006) rather than the elapsed year length; the rule depends on the 365/366-day span.


Final Answer:
Saturday.

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