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x < 0 < y x and y are integers. w ≠ 0
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28 Jan 2020, 10:11
28 Jan 2020, 10:11
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\(x < 0 < y\)
x and y are integers.
\(w ≠ 0\)
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.
Kudos for the right answer and explanation
x and y are integers.
\(w ≠ 0\)
Quantity A |
Quantity B |
\(- \frac{w}{x}\) |
\(\frac{y}{w }\) |
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.
Kudos for the right answer and explanation
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Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
x < 0 < y x and y are integers. w ≠ 0
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29 Jan 2020, 08:15
29 Jan 2020, 08:15
1
Carcass wrote:
\(x < 0 < y\)
x and y are integers.
\(w ≠ 0\)
x and y are integers.
\(w ≠ 0\)
Quantity A |
Quantity B |
\(- \frac{w}{x}\) |
\(\frac{y}{w }\) |
Since w appears in both quantities, and since we have practically no information about w, this SMELLS like the correct answer might be D.
As such, let's test some values
case i: Since \(x < 0 < y\), and w ≠ 0, one possible set of values is x = -1, y = 1, and w = 1
We get:
Quantity A: \(-\frac{1}{-1}=-(-1)=1\)
Quantity B: \(\frac{1}{1}=1\)
In this case, the two quantities are equal
case ii: Since \(x < 0 < y\), and w ≠ 0, one possible set of values is x = -1, y = 1, and w = 2
We get:
Quantity A: \(-\frac{2}{-1}=-(-2)=2\)
Quantity B: \(\frac{1}{2}\)
In this case, Quantity A is greater
Answer: D
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Re: x < 0 < y x and y are integers. w ≠ 0
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12 Feb 2020, 01:25
12 Feb 2020, 01:25
Given the possible values range for x, y and w you can quickly test with the numbers that the answer is D testing only for x, y.
Test x= -1; y = 1.
Quantity A is equal to w. Quantity B is equal to w. A = B
Test x= -0.5; y = 0.5.
Quantity A is equal to 0.5w. Quantity B is equal to 1/(2w). A doesn't equal B.
Test x= -1; y = 1.
Quantity A is equal to w. Quantity B is equal to w. A = B
Test x= -0.5; y = 0.5.
Quantity A is equal to 0.5w. Quantity B is equal to 1/(2w). A doesn't equal B.
