Difficulty: Easy
Correct Answer: Friday
Explanation:
Introduction / Context:
The problem tests basic calendar arithmetic: moving backward or forward by whole weeks and days to determine weekdays for specific dates within the same month.
Given Data / Assumptions:
Concept / Approach:
Weekdays cycle every 7 days. Moving 7 days backward or forward lands on the same weekday. From the 9th back to the 1st is a gap of 8 days. Subtracting 7 (one full week) reduces the problem to shifting by 1 day backward.
Step-by-Step Solution:
9th = Saturday (given).Days between 9th and 1st = 8.Break 8 as 7 + 1.Move back 7 days: Saturday - 7 = Saturday.Move back 1 more day: Saturday - 1 = Friday.
Verification / Alternative check:
Forward check from the 1st: If 1st were Friday, then 8 days later (1st + 8) is Saturday, matching the 9th being Saturday. Consistent.
Why Other Options Are Wrong:
Saturday would make the 9th and 1st identical weekdays (requires 0 or multiples of 7 difference, not 8). Sunday or Monday are each off by one from the required backward shift.
Common Pitfalls:
Forgetting to reduce 8 by a full week to a 1-day shift, or misreading “preceding Sunday” as “following Sunday.”
Final Answer:
Friday
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