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X,Y, and Z are negative integers

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X,Y, and Z are negative integers [#permalink] New post 27 Dec 2016, 08:26
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72% (00:29) correct 27% (00:47) wrong based on 66 sessions
X,Y, and Z are negative integers.

Quantity A
Quantity B
The product of x,y, and z
The sum of x,y, and z



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.
[Reveal] Spoiler: OA

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Re: X,Y, and Z are negative integers [#permalink] New post 27 Dec 2016, 10:08
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Carcass wrote:
X,Y, and Z are negative integers.

Quantity A
Quantity B
The product of x,y, and z
The sum of x,y, and z




We aren't told anything about x, y and z other than the fact that they're all negative integers.
So, let's test some values of x, y, and z

Try x = -1, y = -1 and z = -1
We get:
Quantity A: (-1)(-1)(-1) = -1
Quantity B: (-1) + (-1) + (-1) = -3
In this case, QUANTITY A is greater


Now try x = -1, y = -2 and z = -3
We get:
Quantity A: (-1)(-2)(-3) = -6
Quantity B: (-1) + (-2) + (-3) = -6
In this case, QUANTITY A and QUANTITY B are equal

Answer: D
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Re: X,Y, and Z are negative integers [#permalink] New post 01 Dec 2019, 02:03
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In these kinds of question. The approach that can be handy is as below.

Try to substitute some values, which sometimes makes A as large and sometimes B as large.

scenario 1 : x= -0.5, y= -1, z= -2
A = -1, B = -3.5
A is greater

Scenario 2 : x = -2, y= -2, z = -2
A = -8, B= -6
B is greater

We do not have definite answer whether A is greater or B is greater. Hence, D is the Answer.
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Re: X,Y, and Z are negative integers [#permalink] New post 01 Dec 2019, 20:32
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This can be quickly solved by giving values to the variables. SO plug-in.
Case 1: x= -1, y= -1, z= -1
A: -1 B: -3
A>B

Case 2: x= -2, y= -2, z= -2
A: -8 B: -6
A<B

So 'D' choice can be chosen as we can't come to conclusion with the given information.
Re: X,Y, and Z are negative integers   [#permalink] 01 Dec 2019, 20:32
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X,Y, and Z are negative integers

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