If the quotient \(\dfrac{x}{z}\) is negative, which of the following must be true?

[Gmat_mission]

If the quotient \(\dfrac{x}{z}\) is negative, which of the following must be true?

(A) \(x < 0\)

(B) \(z < 0\)

(C) \(x– z < 0\)

(D) \(x + z < 0\)

(E) \(xz < 0\)

[spoiler]OA=E[/spoiler]

Source: Veritas Prep

[Scott@TargetTestPrep]

If the quotient \(\dfrac{x}{z}\) is negative, which of the following must be true?

(A) \(x < 0\)

(B) \(z < 0\)

(C) \(x– z < 0\)

(D) \(x + z < 0\)

(E) \(xz < 0\)

[spoiler]OA=E[/spoiler]

Solution:

If the quotient of two quantities is negative, their product is also negative. Thus, choice E is the correct answer.

Answer: E