Difficulty: Easy
Correct Answer: Tuesday
Explanation:
Introduction / Context:
This is a classic calendar arithmetic problem: translate a known weekday for a reference date into the weekday for a target date using day differences modulo 7.
Given Data / Assumptions:
Concept / Approach:
Compute the difference in days from 15 Aug 1999 (Sunday) to 28 Sep 1999; reduce modulo 7; apply the shift to Sunday to find the target weekday.
Step-by-Step Solution:
From 15 Aug to 31 Aug = 16 days.From 1 Sep to 28 Sep = 28 days.Total = 16 + 28 = 44 days.44 mod 7 = 2 (since 42 is a multiple of 7).Sunday + 2 days = Tuesday.
Verification / Alternative check:
Counting by weeks: 6 weeks (42 days) after Sunday is Sunday; add 2 more days to reach Tuesday, matching the result.
Why Other Options Are Wrong:
Monday or Wednesday are ±1 from the correct 2-day shift; Sunday implies zero shift, which contradicts the 44-day gap.
Common Pitfalls:
Forgetting that Aug has 31 days, or miscounting inclusive/exclusive bounds; using 43 or 45 instead of 44 leads to a one-day error.
Final Answer:
Tuesday
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