Discussion
Given
\(\begin{array}{r} 7y \\ \times\ 6 \\ \hline yyy \end{array}\)
Then the value of y is
Answer: C
The value of y is 4.
The two-digit number 7y multiplied by 6 must give a three-digit number with all three digits equal to y. Trying y = 4:
\[ 74 \times 6 = 444 \]
which fits. A short way to see it: 6 × y must end in y, which holds only for y = 0, 2, 4, 6 or 8, and 70 × 6 = 420 means the product is between 420 and 474, so it must be 444.
Check the others: 78 × 6 = 468, 76 × 6 = 456 and 72 × 6 = 432, none of which repeats one digit.
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