Question

What was the day of the week on $28th$ may $2006$?

Answer 1

Finding day on a given date:

$28$ May, $2006=$ ($2005$ years $+$ Period from $1.1.2006$ to $28.5.2006$)

Odd days in $1600$ years $=0$

Odd days in $400$ years $=0$

$5$ years $=$ ($4$ ordinary years $+1$ leap year) $=$$(4\times 1+1\times 2)=6$ odd days

January, February, March, April, May
$(31+28+31+30+28)=148$ days

$\therefore 148$ days $=$ ($21$ weeks $+1$ day) $1$ odd day.

Total number of odd days $=(0+0+6+1)=7=0$ odd day.

Therefore, given day is sunday.

Hence, given day is sunday.