If the first day of June is a Saturday, on which date does the last Saturday of that June fall? (Assume June has 30 days.)

Introduction / Context:
Counting fixed weekdays through a month uses the 7-day periodicity. If the 1st is a given weekday, then that weekday repeats on dates +7, +14, +21, etc., until the month ends.

Given Data / Assumptions:

• June length = 30 days; first Saturday = June 1.
• Subsequent Saturdays: 8, 15, 22, 29.

Concept / Approach:
Enumerate Saturdays by adding 7 to the first Saturday until exceeding the last day (30). The largest Saturday date ≤ 30 is the last Saturday.

Step-by-Step Solution:

Verification / Alternative check:
June 30 would be a Sunday if June 1 is Saturday; hence 29 must be the final Saturday.

Why Other Options Are Wrong:
22 and 28 occur earlier; 30 is Sunday given the start-day assumption.

Common Pitfalls:
Assuming months have 31 days or miscounting by including June 30 as a Saturday.

Final Answer:
29.