If the quotient x/z is negative, which of the following must be true?

BTGmoderatorDC wrote: ↑

Mon Mar 30, 2020 4:55 pm

If the quotient 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

OA E

Source: Veritas Prep

Since the quotient of X/Z is negative, one between X and Y is positive and the other is negative; moreover, we cannot compare the absolute values of X and Y.

With this in mind, we can certainly conclude that XY is negative.

The correct answer: E

Hope this helps!

-Jay
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BTGmoderatorDC wrote: ↑

Mon Mar 30, 2020 4:55 pm

If the quotient 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


OA E

Source: Veritas Prep

We see that x and z must have opposite signs, so xz is less than zero.

Answer: E