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MioMath 2024 Paper 2 · Q1

Paper 2Algebra

If a+ba+b, b+cb+c, a−ca-c are all even

What can be inferred about the parity of a,b,ca,b,c?

Aaa is even, bb and cc are odd
Baa and bb are even, cc is odd
Caa is odd, bb is even, cc is odd
DOnly one of a,b,ca,b,c is even
Ea,b,ca,b,c are all odd or all even

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