11. The five symbols $@, *, \#, \&$ and $\wedge$ used in the equations below represent different digits.
$@+@+@=*$
$\#+\#+\#=\wedge$
$*+\wedge=\&$
What is the value of $\&$ ?
A 0
B 2
C 3
D 6
E 9
11. E Since $3 \times @=*$ and $3 \times \#=\wedge$, both $*$ and $\wedge$ must represent single digit multiples of 3 . Also, since $* \wedge=\&$, the digit represented by $\&$ is a single digit multiple of 3 larger than * or $\wedge$. Therefore, since the only single digit multiples of 3 are 3,6 and 9 , the value of $\&$ is 9 .