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TMUAmockz Set 1 Paper 2 · Q5

Paper 2Logic & proofNumber & counting

Real numbers p,q,rp,q,r satisfy p<q<rp<q<r, and nn is a positive integer. Which of the following statements must be true?

  • I. pnqn<q2np^nq^n<q^{2n} only if nn is even
  • II. p2+r2>2q2p^2+r^2>2q^2 only if q<0q<0
  • III. (r−p)2>(r−q)2+(q−p)2(r-p)^2>(r-q)^2+(q-p)^2
ANone of them
BI only
CII only
DIII only
EI and III only
FII and III only

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