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How many odd days are there in 150 years?

medium Q7 of 15
Reasoning Ability - Calendar Problems
How many odd days are there in 150 years?
A2
B3
C4
D1
Step-by-Step Solution
  1. Step 1: Split 150 = 100 + 50

    100 → 5 odd days; 50 → 6 odd days.
  2. Step 2: Add and reduce

    5 + 6 = 11 → 11 mod 7 = 4.
  3. Final Answer:

    4 odd days → Option C
  4. Quick Check:

    Alternatively counting leaps across 150 years gives same remainder 4 ✅
Quick Trick: Break into 100 + remainder, sum their odd days and reduce mod 7.
Common Mistakes:
MISTAKES
  • Assuming 150 = 3×50 without considering century pattern.
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