How many of the following numbers are divisible by 3 but not by 9 ?
2133, 2343, 3474, 4131, 5286, 5340, 6336, 7347, 8115, 9276
Marking $\left(/\right)$ those which are are divisible by 3 by not by 9 and the others by $\left(X\right) $, by taking the sum of digits, we get:s
2133 $\rightarrow$ 9 $\left(X\right) $
2343 $\rightarrow$ 12 $\left(/\right)$
3474 $\rightarrow$ 18 $\left(X\right) $
4131 $\rightarrow$ 9 $\left(X\right) $
5286 $\rightarrow$ 21 $\left(/\right)$
5340 $\rightarrow$ 12 $\left(/\right)$
6336 $\rightarrow$ 18 $\left(X\right) $
7347 $\rightarrow$ 21 $\left(/\right)$
8115 $\rightarrow$ 15$\left(/\right)$
9276 $\rightarrow$ 24 $\left(/\right)$
Required number of numbers = 6.