Question

In this multiplication question the five letters represent five different digits. What are the actual figures ? There is no zero.
$SEAM$
$T$
________
$MEATS$

• A. $M=3,E=9,A=7,T=4,S=8$
• B. $M=3,E=9,A=7,T=8,S=4$
• C. $M=4,E=3,A=9,T=7,S=8$
• D. $M=4,E=9,A=3,T=7,S=8$

Answer 1

The correct option is B $M=3,E=9,A=7,T=8,S=4$

$SEAM$

$T$

_______________

$MEATS$

$\Rightarrow T\times M$ gives a number with $S$ at units place.

(1) $4\times 3=1\underset{–}{2}$ but $S=8\left(O\right)$

(2) $8\times 3=2\underset{–}{4}$ here $S=4\left(P\right)$

(3) $7\times 4=2\underset{–}{8}$ here $S=8\left(P\right)$

(4) $7\times 4=2\underset{–}{8}$ here $S=8\left(P\right)$

Again $T\times A$ gives $(T-2)$ at units place as 2 is carried forward in all the 3 cases (2, 3 and 4)

(2) $8\times 7=56$ so $6=8-2$ is correct

(3) $7\times 9=63$ so $3=7-4$ is not correct

(4) $7\times 3=21$ so $1=7-6$ is not correct

S0 (2) is the correct answer.