tmua.fyi Mock Paper 2 (2) · Question 16

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tmua.fyi Mock Paper 2 (2) · Q16

Paper 2Logic & proof

In the expansion of $(x^p+x^{-q})^n$ , where $p,q$ and $n$ are positive integers, consider statement P: ‘the expansion has a term independent of $x$ ’, and statement Q: ‘ $p+q$ divides $np$ ’. Then Q is:

Anecessary but not sufficient for P.

Bsufficient but not necessary for P.

Cboth necessary and sufficient for P.

Dneither necessary nor sufficient for P.

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