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Atul and his father were born in the months of December and September respectively. In 2017 both their birthdays fell on Sundays. If in 2020 Atul's birthday falls on a Thursday, his father's birthday will fall on

  • A.Wednesday
  • B.Friday
  • C.Thursday
  • D.Monday

Answer: C

The father's birthday falls on Thursday.

Both birthdays (September and December) come after 29 February, so they shift by exactly the same number of weekdays from year to year. An ordinary year moves a date on by 1 day and a leap year by 2.

\[ \begin{aligned} \text{2017 to 2020} &= 1 + 1 + 2 \\ &= 4\ \text{days} \end{aligned} \]

Sunday moved on 4 days is Thursday, which agrees with Atul's birthday. The father's birthday, also a Sunday in 2017, moves by the same 4 days, so it too falls on a Thursday.

Wednesday comes from counting 2020 as an ordinary year (a shift of 3), and Friday from adding an extra day. The months matter only to show both dates fall after February.

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