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?
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A8
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B9
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C10
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DNone of these
Answer
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).