Library / /105 of 122

, 2025

Number theory Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

In the six-digit integer $PAPAYA$ , different letters stand for different digits and the same letter always represents the same digit. Also $Y = P + P = A + A + A$ . What is the value of $P \times A \times P \times A \times Y \times A$ ?

(A) $432$ (B) $342$ (C) $324$ (D) $243$ (E) $234$

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: UK Mathematics Trust, licensed © UK Mathematics Trust; past papers published free at ukmt.org.uk. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.