First weekday of March in a leap year — If January 1 is a Friday in a leap year, what is the day on March 1 of that year?
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ATuesday
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BWednesday
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CThursday
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DFriday
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E—
Answer
Correct Answer: Tuesday
Explanation
Introduction / Context:Determining the weekday for the first of a later month requires adding the exact number of days elapsed since the known reference day. In a leap year, February has 29 days, which shifts the weekday by one extra day beyond a non-leap scenario.
Given Data / Assumptions:
- Leap year; thus January has 31 days and February has 29 days.
- January 1 is Friday.
- We want the weekday on March 1 (after Jan + Feb days).
Concept / Approach:Total days elapsed from Jan 1 to Mar 1 = 31 + 29 = 60. Compute 60 mod 7 to get the weekday shift from Friday.
Step-by-Step Solution:60 ÷ 7 = 8 remainder 4.Shift 4 days forward from Friday: Saturday (1), Sunday (2), Monday (3), Tuesday (4).Therefore, March 1 is Tuesday.
Verification / Alternative check:In a non-leap year, Jan + Feb = 59 ⇒ remainder 3 ⇒ Monday; adding 1 more day for leap years moves it to Tuesday, confirming the logic.
Why Other Options Are Wrong:They correspond to incorrect remainders (3, 2, or 0) rather than the correct remainder 4.
Common Pitfalls:Assuming February has 28 days in leap years or forgetting to apply modulo 7.
Final Answer:Tuesday