Logical Reasoning

Clocks & Calendar

Medium

What was the day of the week, 15 August 2013?

Friday

Tuesday

Saturday

Thursday

✅ Correct Option: 4

Count odd days. Up to 2000 there are $0$ odd days. From 2001 to 2012 there are $12$ years with $3$ leap years, giving $9 + 6 = 15$ days, i.e. $1$ odd day. In 2013 (ordinary year), days up to 15 August $= 31+28+31+30+31+30+31+15 = 227$ , and $227 \bmod 7 = 3$ . Total odd days $= 1 + 3 = 4$ , which corresponds to Thursday.

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What was the day of the week, 15 August 2013?

Solution

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