Math Problem : III.5 365 cards with date of one year

There are 365 cards piled up on which the date of the non-leap year is written.

It is written to the 1st card as January 1, to the 2nd card as January 2, to the 3rd card as January 3rd and to the 365th card as December 31.

Answer the following questions.

(1) Remove even-numbered cards counted from the top.


In this case, the date written on the top of the remaining card is January 1 and the date of the 2nd card is January 3.

Find the date of the 28th card.

(2) As a next step, remove odd-numbered cards counted from the top among remaining cards.


In this case, which number of card counted from the top among remaining cards is written as September 12?

(3) Suppose that January 1 is Monday.


Find the day of the week of the 69th card counted from the top among remaining cards.















Answer
(1) February 24
(2) 64th card
(3) Tuesday