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

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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]

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Gmat_mission wrote:
Thu May 21, 2020 1:04 am
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

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