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xy > 0 and yz < 0

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Carcass
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xy > 0 and yz < 0 [#permalink] New post   16 Jul 2019, 02:24
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\(xy > 0\) and \(yz < 0\)


Quantity A
Quantity B
xz
0


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
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B
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GreenlightTestPrep
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Re: xy > 0 and yz < 0 [#permalink] New post   16 Jul 2019, 13:12
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Carcass wrote:
\(xy > 0\) and \(yz < 0\)


Quantity A
Quantity B
xz
0


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Given:
xy is POSITIVE
yz is NEGATIVE

Divide them to get: xy/yz = POSITIVE/NEGATIVE
Simplify the left side to get: x/z = POSITIVE/NEGATIVE
Simplify the right side to get: x/z = NEGATIVE

If x/z is NEGATIVE, then one value (x or z) is POSITIVE, and the other value is NEGATIVE.
If one value (x or z) is POSITIVE, and the other value is NEGATIVE, then xz = (POSITIVE)(NEGATIVE) = NEGATIVE

We get:
QUANTITY A: NEGATIVE
QUANTITY B: 0

Answer: B

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Brent
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saptadas1809
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xy > 0 and yz < 0 [#permalink] New post   06 Dec 2021, 05:37
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Given, xy>0 and yz<0
So, x and y must have same sign (either +ve or -ve together) for the product of x and y to be positive.
z, however, must have opposite sign to x and y, so that product of y and z becomes -ve

Therefore the term xz will always be -ve as x and z have opposite polarity.

Hence, B > A
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xy > 0 and yz < 0 [#permalink]
06 Dec 2021, 05:37
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