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MathNet 2024-part-03 — 168 problems (EN–VI) Question 167

Math Olympiad Vault · MathNet 2024-part-03 — 168 problems (EN–VI)

Question 167

We call a positive integer a *reverse difference* if it can be written as a positive integer whose last digit is not a $0$, minus the number consisting of the same digits in reverse order. For example, $2178$ is a reverse difference because $4202 - 2024 = 2178$.

Which of the following numbers is *not* a reverse difference?

A) $1359$
B) $2538$
C) $3906$
D) $4447$
E) $5355$