Question

INTERNATIONAL KANGAROO MATHEMATICS CONTEST 2016
Time Allowed: 2 Hours
23. Malte has built a bar of 27 bricks.
He breaks the bar into two bars such that one of them is twice the length of the other.
Then he takes one of the new bars and breaks it the same way. He continues in thi
way. Which of the following bars will he not be able to get?
(A) 2

(B) 4
C) 6


(D)
8
E) 10​

Answer 1

27

→ 9+18

→ 3+6 & 6+12

→ 1+2 & 2+4 & 2+4 & 4+8

It is the end of the pattern.

So we have gotten 2, 4, 6, 8. The answer is 10.