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Determine Signs From Quotient Signs

925BeginnerAlgebra

Brazilian Mathematical Olympiad

Sign of a product and sign of a quotient: $a$, $b$, $c$, and $d$ are four nonzero 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 $d$.
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