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MathNet 2006 — Part 03 Question 14

Math Olympiad Vault · MathNet 2006 — Part 03

Question 14

Sign of a product and sign of a quotient: $a$, $b$, $c$ and $d$ are four non-zero numbers such that the quotients $\frac{a}{5}$, $\frac{-b}{7 a}$, $\frac{11}{a b c}$, $\frac{-18}{a b c d}$ are positive. Determine the signs of $a$, $b$, $c$ and $d$.