Year with 53 Saturdays and 53 Sundays — How many weekend days does its January contain?

Introduction / Context:
A year having 53 Saturdays and 53 Sundays implies specific start-day and leap-year structure. We use that structure to infer January's weekend-day count.

Given Data / Assumptions:

• Total Saturdays = 53 and total Sundays = 53 in the year.
• Gregorian rule: such years occur when the year is a leap year starting on a Saturday (e.g., 2000).

Concept / Approach:
In a leap year that starts on Saturday, January contains five Saturdays and five Sundays (because Jan 1 is Saturday and the month has 31 days), yielding 10 weekend days in January.

Step-by-Step Solution:

Verification / Alternative check:
Check a known example (Year 2000): Jan 2000 indeed had 10 weekend days.

Why Other Options Are Wrong:

• 8 or 9: too few given the start-day pattern in this special case.
• None of these: 10 is a valid, determinable value.

Common Pitfalls:

• Interpreting “53 weekends” as 53 week-pairs instead of separate Saturday and Sunday counts.

Final Answer:
10