Maths Olympiad Prep

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, 2019

Number theory Difficulty 2.0 Junior Find the answer United Kingdom

Four of the following six-digit integers are always divisible by 77, regardless of the values of the digits PP and QQ. Which of the following is not necessarily a multiple of 77?

(A) 'PQQ PQQ' (B) 'PQP QPQ' (C) 'QPQ PQP' (D) 'PPP PPP' (E) 'PPP QQQ'

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