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Official 2023 Paper 2 · Q3

Paper 2Logic & proof

Consider the claim:

For all positive real numbers xx and yy,

xy=xy.\sqrt{x^y}=x^{\sqrt{y}}.

Which of the following is/are a counterexample to the claim?

  • I. x=1x=1, y=16y=16
  • II. x=2x=2, y=8y=8
  • III. x=3x=3, y=4y=4
Anone of them
BI only
CII only
DIII only
EI and II only
FI and III only
GII and III only
HI, II and III

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