X's 16th birthday is on 9th March which falls on Sunday of a leap year. What will be the day on his 20th birthday?

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  1. Saturday
  2. Friday
  3. Wednesday
  4. Thursday

Answer (Detailed Solution Below)

Option 2 : Friday
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Detailed Solution

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Given: X's 16th birthday is on 9th March which falls on Sunday of a leap year.

As leap year is every 4 years, therefore 20th birthday will in the next subsequent leap year.

So, number of odd days from 16th birthday to 20th birthday → 2 ( 2 Ordinary years) + 2 (1 Leap year) ⇒ 4

Thus, X's 20th March falls on  Sunday + 4 Friday

Hence, "Option 2" is the correct answer.

Additional Information

No. of odd days Ordinary year Leap year
365 ÷ 7 = 52 weeks + 1 odd day

366 ÷ 7 = 52 weeks + 2 odd day

And,
Years No. of odd days
100 5
200 3
300 1
400 0

Note : Multiple of 400 years i.e 800, 1200, 1600, 2000 will also have 0 odds days.

Days No. of odd days
Sunday 0
Monday 1
Tuesday 2
Wednesday 3
Thursday 4
Friday 5
Saturday 6
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