The seven numbers $1,2,5,10,25,50,100$ repeat to form the following pattern

$$
1,2,5,10,25,50,100,1,2,5,10,25,50,100, \ldots
$$

What is the sum of the $18^{\text {th }}$ and the $75^{\text {th }}$ numbers in the pattern?
(A) 110
(B) 11
(C) 27
(D) 7
(E) 35
The seven numbers $1,2,5,10,25,50,100$ repeat to form the pattern shown.

Thus, the $7^{\text {th }}$ number in the pattern is 100 , the $14^{\text {th }}$ number in the pattern is 100 , the $21^{\text {st }}$ number in the pattern is 100 , and so on.

The $14^{\text {th }}$ number in the pattern is 100 and so the $15^{\text {th }}$ number in the pattern is 1 , the $16^{\text {th }}$ is 2 , the $17^{\text {th }}$ is 5 , and the $18^{\text {th }}$ number in the pattern is 10 .

Since 70 is a multiple of 7 , the $70^{\text {th }}$ number in the pattern is also 100 and so the $71^{\text {st }}$ number in the pattern is 1 , the $72^{\text {nd }}$ is 2 , the $73^{\text {rd }}$ is 5 , the $74^{\text {th }}$ is 10 , and the $75^{\text {th }}$ number in the pattern is 25 .

The sum of the $18^{\text {th }}$ and $75^{\text {th }}$ numbers in the pattern is $10+25=35$.

ANSWER: (E)