Question

On what dates of June, 2005 was it a Sunday?

• A. 1, 8, 15, 22, 29
• B. 2, 9, 16, 23, 30
• C. 3, 10, 17, 24
• D. 4, 11, 18, 25
• E. 5, 12, 19, 26

Answer 1

The correct option is E

5, 12, 19, 26

We shall find the day on 1${}^{st}$ June, 2005.

1${}^{st}$ June, 2005 = (2000 years + 4 years + period from 1.1.2005 to 1.6.2005)

Since, odd days in every 400 years = 0

$\therefore$Odd day in 2000 years = 0

Odd days in 4 years (2001 to 2004) = 5 odd days

Jan + Feb + March + April + May + June = (31 + 28 + 31 + 30 + 31) = 151 days$\to$ 4 odd days

Total number of odd days = (0+5+5)$\to$ 3 odd days

Thus, had it been 0 odd days, 1${}^{st}$ June would have been Monday.

Since it has 2 odd days, 1${}^{st}$ June, 2005 will be Wednesday.

In June, 2005 Sunday falls on 5${}^{th}$, 12${}^{th}$, 19${}^{th}$, 26${}^{th}$.