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The year next to 2003 will have the same calendar as that of the year 2003?

  • A.2024
  • B.2014
  • C.2009
  • D.2020

Answer: B

Count forward until the accumulated odd days come back to zero.

\[ 2003:1,\ 2004:2,\ 2005:1,\ 2006:1,\ 2007:1,\ 2008:2,\ 2009:1,\ 2010:1,\ 2011:1,\ 2012:2,\ 2013:1 \]

\[ \text{total} = 14 = 2 \times 7 \quad\Longrightarrow\quad 0 \text{ odd days} \]

So the calendar of 2003 repeats in 2014. Leap years contribute two odd days each, which is why the cycle is 11 years and not 7.

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