Weekend-day counts — If December of a certain year has exactly 9 weekend days (Saturdays and Sundays), how many weekend days did January of that same year have?

Difficulty: Hard

Correct Answer: None of these

Explanation:


Introduction / Context:
Counting weekend days (all Saturdays and Sundays) across months requires careful attention to the calendar layout. The question links December's weekend count to January of the same year.


Given Data / Assumptions:

  • December has exactly 9 weekend days.
  • “Weekend” means Saturdays + Sundays (individual days, not pairs).
  • We want January's weekend-day count of the same year.


Concept / Approach:
January and December are 11 months apart. Depending on where weekdays fall and whether the year is leap or common, January can have either 8 or 10 weekend days while December has 9. There is no unique single value constrained by “December = 9.”


Step-by-Step Solution:

1) Enumerate possibilities (conceptually): month lengths and start weekdays shift the placement of Saturdays/Sundays.2) Real calendar enumerations produce two valid January counts when December has 9 weekend days: sometimes 8, sometimes 10.3) Because both 8 and 10 are feasible, there is no single forced answer.


Verification / Alternative check:
Test multiple Gregorian years: some with December=9 yield January=8; others yield January=10. Hence non-unique.


Why Other Options Are Wrong:

  • 8 and 10 can both be correct depending on the year; since the item expects exactly one correct option, selecting either alone would be misleading.
  • 9: January having 9 with December=9 is not guaranteed and is not the only outcome.


Common Pitfalls:

  • Confusing “weekend days” with “weekends as pairs.”
  • Assuming a unique answer without checking calendar variants.


Final Answer:
None of these (January can be 8 or 10 weekend days).

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