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Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
02 May 2021, 05:45
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C
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Difficulty:
45%
(medium)
Question Stats:
60% (01:33) correct
40%
(01:35)
wrong
based on 114
sessions
History
Date
Time
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Not Attempted Yet
09 May 2021, 04:15
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If x·y≠0, what is the value of x/y?
xy≠0 implies that neither of them is 0.
(1) −|x|=y. Notice that this implies that y must be a negative number.
If \(x>0\), then \(-x=y\) --> \(\frac{x}{y}=-1\), for example, consider \(x=-1\) and \(y=-1\).
If \(x<0\), then \(-(-x)=y\) --> \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=-1\).
Not sufficient.
(2) −|y|=x. Notice that this implies that x must be a negative number.
If \(y>0\), then \(-y=x\) --> \(\frac{x}{y}=-1\), for example, consider \(x=-1\) and \(y=1\).
If \(y<0\), then \(-(-y)=x\) --> \(\frac{x}{y}=1\), for example, consider \(x=-1\) and \(y=-1\).
Not sufficient.
(1)+(2) Since from (2) we have that x is a negative number, then from (1) -|x|=y, becomes -(-x)=y --> x=y --> x/y=1. Sufficient.
Answer: C.
Hope it's clear.
xy≠0 implies that neither of them is 0.
(1) −|x|=y. Notice that this implies that y must be a negative number.
If \(x>0\), then \(-x=y\) --> \(\frac{x}{y}=-1\), for example, consider \(x=-1\) and \(y=-1\).
If \(x<0\), then \(-(-x)=y\) --> \(\frac{x}{y}=1\), for example, consider \(x=1\) and \(y=-1\).
Not sufficient.
(2) −|y|=x. Notice that this implies that x must be a negative number.
If \(y>0\), then \(-y=x\) --> \(\frac{x}{y}=-1\), for example, consider \(x=-1\) and \(y=1\).
If \(y<0\), then \(-(-y)=x\) --> \(\frac{x}{y}=1\), for example, consider \(x=-1\) and \(y=-1\).
Not sufficient.
(1)+(2) Since from (2) we have that x is a negative number, then from (1) -|x|=y, becomes -(-x)=y --> x=y --> x/y=1. Sufficient.
Answer: C.
Hope it's clear.
General Discussion
02 May 2021, 09:18
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If x·y≠0, what is the value of x/y?
(1) −|x|=y
We can say that the numerical values without sign of x and y are same, so x/y will be 1 or -1 depending on signs of x and y.
-|x|=y......|x|=-y
So y<0
Nothing about x
Insufficient
(2) −|y|=x
-|y|=x......|y|=-x
So x<0
Nothing about y
Insufficient
Combined
Both x an y are negative, so x/y=1
Sufficient
C
(1) −|x|=y
We can say that the numerical values without sign of x and y are same, so x/y will be 1 or -1 depending on signs of x and y.
-|x|=y......|x|=-y
So y<0
Nothing about x
Insufficient
(2) −|y|=x
-|y|=x......|y|=-x
So x<0
Nothing about y
Insufficient
Combined
Both x an y are negative, so x/y=1
Sufficient
C
