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Daniel J Smith Custom TMUA Set A Paper 2 · Q20

Paper 2Logic & proof

The positive real numbers p×10−4p\times10^{-4}, q×10−2q\times10^{-2} and r×10−1r\times10^{-1} are each in standard form, and

(p×10−4)+(q×10−2)=(r×10−1)(p\times10^{-4})+(q\times10^{-2})=(r\times10^{-1})

How many of the following statements must be true?

  • I: q>1q>1
  • II: r>1r>1
  • III: q<rq<r
  • IV: p<rp<r
A11 of them
B22 of them
C33 of them
D44 of them
ENone of them

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