Maths Olympiad Prep

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Algebra Difficulty 1.0 Junior Find the answer United Kingdom

Consider the following three statements. (i) Doubling a positive number always makes it larger. (ii) Squaring a positive number always makes it larger. (iii) Taking the positive square root of a positive number always makes it smaller. Which statements are true?

(A) All three (B) None (C) Only (i) (D) (i) and (ii) (E) (ii) and (iii)

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