Question

In the correctly worked out multiplication problem at the below, each letter represent a different digit. What is the value of B ?
A A
A B
B B
A A C
A 3 B

• A. 1
• B. 2
• C. 4
• D. 5

Answer 1

The correct option is B 2

$B+C=B$
$C=0$
AA.B $=$ BB $\Rightarrow$ (10 A + A) B $=$BB= 10 B $+$ B
$AB=B,A=1$
$B+A=3$
$\Rightarrow B+1=3,\Rightarrow B=2$
1 1
11
12
22
110
132