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Problem 351

Number theory Difficulty 2.0 Find the answer UKMT Junior Kangaroo · United Kingdom · 2022

The non-zero digits $p$ , $q$ and $r$ are used to make up the three-digit number ' $pqr$ ', the two-digit number ' $qr$ ' and the one-digit number ' $r$ '. The sum of these numbers is 912. What is the value of $q$ ?

(A) $3$ (B) $4$ (C) $5$ (D) $6$ (E) $0$

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