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Official 2017 Paper 2 · Q13

Paper 2Logic & proof

The positive real numbers a×10−3a\times10^{-3}, b×10−2b\times10^{-2} and c×10−1c\times10^{-1} are each in standard form, and

(a×10−3)+(b×10−2)=(c×10−1).(a\times10^{-3})+(b\times10^{-2})=(c\times10^{-1}).

Which of the following statements (I, II, III, IV) must be true?

  • I a>9a>9
  • II b>9b>9
  • III a<ca<c
  • IV b<cb<c
AI only
BII only
CI and II only
DI and III only
EI and IV only
FII and III only
GII and IV only
HI, II, III and IV

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