Reasoning Ability - Calendar Problems
What day of the week was 2nd October 1869 (Gandhi’s birth date)?
What day of the week was 2nd October 1869 (Gandhi’s birth date)?
medium Q3 of 15
Step-by-Step Solution
Step 1: Inputs (Oct, no year change)
q = 2,m = 10,year = 1869.Step 2: Compute K and J
K = 1869 % 100 = 69,J = floor(1869 / 100) = 18.Step 3: Evaluate components
floor(13*(m+1)/5) = floor(13*11/5) = 28;floor(K/4)=17;floor(J/4)=4;5*J = 90.
Sum:h = (2 + 28 + 69 + 17 + 4 + 90) = 210→210 mod 7 = 0.Step 4: Map result to weekday
0 → Saturday. So 2 Oct 1869 = Saturday.Final Answer:
Saturday → Option AQuick Check:
Historical reconciliation confirms Saturday ✅
Quick Trick: Use the same formula for 1800s dates; just compute K and J from that year.
Common Mistakes:
MISTAKES- Confusing century (J) when working with 18xx/19xx years.
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