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How many odd days are there in 2,500 years?

hard Q9 of 15
Reasoning Ability - Calendar Problems
How many odd days are there in 2,500 years?
A6
B3
C1
D5
Step-by-Step Solution
  1. Step 1: Break 2,500 = 400×6 + 100

    Six 400-year cycles → 6×0 = 0 odd days.
  2. Step 2: Remaining 100 years

    100 years = 5 odd days.
  3. Step 3: Reduce modulo 7

    5 mod 7 = 5.
  4. Final Answer:

    5 odd days → Option D
  5. Quick Check:

    2500 = 2400+100 → only 100 contributes → 5 odd days.
Quick Trick: Always peel off 400-year cycles → they add 0 odd days.
Common Mistakes:
MISTAKES
  • Saying 25×100 → 125 odd days without mod 7 reduction.
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