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UKMT Senior Mathematical Challenge, 2020

Algebra Difficulty 1.0 Junior Find the answer United Kingdom

The numbers $p$ , $q$ , $r$ and $s$ satisfy the equations $p = 2$ , $p \times q = 20$ , $p \times q \times r = 202$ and $p \times q \times r \times s = 2020$ . What is the value of $p + q + r + s$ ?

(A) $32$ (B) $32.1$ (C) $33$ (D) $33.1$ (E) $34$

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