Hi, please help to solve the following questions and also the 2 in the attachment. Thank you.

Roy uses four letters A, B, C and D to form a pattern. The first 16 letters are shown below. Which letter is in the 69th position?

A B C D D C B A A B C D D C B A .....?
1st

Viking 270 wrote:
[quote]Hi, please help to solve the following questions and also the 2 in the attachment. Thank you.

Roy uses four letters A, B, C and D to form a pattern. The first 16 letters are shown below. Which letter is in the 69th position?

A B C D D C B A A B C D D C B A .....?


1. As every 8 letters it repeats the pattern. 8*8=64, the 65th letter is A, 66th is B, 67th is C, 68th is D, 69th is D.

2. the attachment:

(1)

1/4+4/18=17/36. (might draw a pic tomorrow as tonight is too late

(2) answer is 5/9.

orchid wrote:
(1)1/4+4/18=17/36. (might draw a pic tomorrow as tonight is too late
Refer to Observer's solution.

orchid wrote:
(2) answer is 5/9.
Move the second square P in alignment with the first square P and third square P. You will get 3 squares laying on top of each other on one 1 side of the square ABCD.
Given that area of circle Q = area of square P. So, after moving the 2nd square P to the left, you will find that the another square P or circle Q can be filled in the middle of the bottom side of square ABCD.
Total number of square P = 3x3 = 9 to find up 1 whole area of square ABCD.
Shaded = 9-4 = 5 square P or 5 circle Q (it doen't matter much as ratio is involved).
Fraction of the square ABCD that is shaded = 5/9

I did this before too. I am not too sure bout the working but I am sure my answer is 1