Question

In the following multiplication, each of the different letters denote a different integer. Each letter stands for the same integer throughout. If 'A', stands for '2' and 'C' stands for '6'.
$ABC$
$\underset{–}{\times DE}$
$ABC$
$\underset{–}{+ECMAO}$
$\underset{–}{ECDMC}$
What is the value of M?

• A. $9$
• B. $7$
• C. $5$
• D. $8$

Answer 1

Answer: (C)

$5$

Let us write the given cryptogram again, with all the decoded integers for simplicity.
$ABC$
$\underset{–}{\times DE}$
$ABC$
$\underset{–}{+ECMA\times }$
$\underset{–}{ECDMC}$
$\Rightarrow 2B6$
$\underset{–}{\times 71}$
$2B6$
$\underset{–}{16M2\times }$
$\underset{–}{167M6}$
We can now see that $2+M=7$, which means $M=7-2=5$. Thus the value of M is 5. So, option (3) is correct.