Reasoning Ability - Calendar Problems
How many odd days are there in 900 years?
How many odd days are there in 900 years?
medium Q15 of 15
Step-by-Step Solution
Step 1: Use 400-year cycles
400 years = 0 odd days.Step 2: Break 900 = 400 + 400 + 100
Odd days = 0 + 0 + 5 = 5.Step 3: Reduce modulo 7
5 ÷ 7 → remainder = 5.Final Answer:
5 odd days → Option CQuick Check:
Two 400-year cycles cancel → remaining 100 years add 5 odd days ✅
Quick Trick: Strip off 400-year multiples first, then handle leftover centuries.
Common Mistakes:
MISTAKES- Forgetting that 400-year blocks contribute 0 and incorrectly summing all centuries.
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