If X>Y is |X| > |Y| ?
A)X>0
B)Y>0
OA:B
Source:Math Revolution
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If X>Y is |X| > |Y| ?
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DavidG@VeritasPrep
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Test some simple numbers.NandishSS wrote:If X>Y is |X| > |Y| ?
A)X>0
B)Y>0
OA:B
Source:Math Revolution
Statement 1:
Case 1: x = 1, y = 0; |1| > |0|, so we get a YES
Case 2: x = 1, y = -2; |1| < |-2|, so we get a NO
1 alone is not sufficient
Statement 2
Case 3: x = 3, y = 2; |3| > |2|, so we get a YES
Case 4 x = 5, y = 4; |5| > |4|, so we get a YES
Notice that no matter we pick for y, x will have to be larger. Because the numbers are both positive, the absolute value of x will always be greater than the absolute value of y. This statement alone is sufficient and the answer is B
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GMATGuruNY
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|a| = the distance between a and 0.NandishSS wrote:If X>Y is |X| > |Y| ?
A)X>0
B)Y>0
Question stem, rephrased:
If X is to the right of Y on the number line, is X farther from 0 than is Y?
Statement 1:
Case 1:
-----------0--Y--X---------
Case 2:
Y----------0-----X---------
In Case 1, X is farther from 0 than is Y.
In Case 2, Y is farther from 0 than is X.
INSUFFICIENT.
Statement 2:
The number line must look as it does in Case 1:
-----------0--Y--X---------
Thus, X is farther from 0 than is Y.
SUFFICIENT.
The correct answer is B.
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As a tutor, I don't simply teach you how I would approach problems.
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Hi NandishSS,
This question can be dealt with in a couple of different ways - conceptually or by TESTing VALUES.
We're told that X > Y. We're asked if |X| > |Y|? This is a YES/NO question. Before we start working through it, it's important to note that absolute value questions almost always involve negative values at some point, so you have to consider more than just the obvious values for X and Y (re: other options besides positive numbers).
1) X > 0
IF X is positive AND Y is positive, then the |X| will be greater than |Y| - and the answer to the question is YES.
IF X is positive AND Y is "more negative" than X is positive, then the |X| will be LESS than |Y| - and the answer to the question is NO.
Fact 1 is INSUFFICIENT
2) Y > 0
IF Y is positive, then X must be "more positive" than Y (since X > Y), so |X| will be greater than |Y| - and the answer to the question is ALWAYS YES.
Fact 2 is SUFFICIENT
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
This question can be dealt with in a couple of different ways - conceptually or by TESTing VALUES.
We're told that X > Y. We're asked if |X| > |Y|? This is a YES/NO question. Before we start working through it, it's important to note that absolute value questions almost always involve negative values at some point, so you have to consider more than just the obvious values for X and Y (re: other options besides positive numbers).
1) X > 0
IF X is positive AND Y is positive, then the |X| will be greater than |Y| - and the answer to the question is YES.
IF X is positive AND Y is "more negative" than X is positive, then the |X| will be LESS than |Y| - and the answer to the question is NO.
Fact 1 is INSUFFICIENT
2) Y > 0
IF Y is positive, then X must be "more positive" than Y (since X > Y), so |X| will be greater than |Y| - and the answer to the question is ALWAYS YES.
Fact 2 is SUFFICIENT
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
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Jay@ManhattanReview
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We have to see whether |X| > |Y|.NandishSS wrote:If X>Y, is |X| > |Y| ?
A)X>0
B)Y>0
OA:B
Source:Math Revolution
|X| > |Y| => X > Y OR X < -Y.
We are already given that X > Y. So the question reduces to whether X < -Y.
S1: X>0
Say X = 2 > 0 and Y = -3 => X < -Y. The answer is YES.
However, if X = 2 > 0 and Y = 1 => X > -Y. The answer is NO. No unique answer. Insufficient.
S2: Y>0
Since X > Y and Y > 0, X is also positive, so the inequality X < -Y does not exist. Sufficient.
Answer: B
Hope this helps!
-Jay
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