*(integer) Is x-y>0?
1) x>|y|
2) y=-3
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*(integer) Is x-y>0?
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Max@Math Revolution
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Target question: Is x - y > 0?Max@Math Revolution wrote:Is x - y > 0?
1) x > |y|
2) y = -3
This is a good candidate for rephrasing the target question.
Aside: Here's a video with tips on rephrasing the target question: https://www.gmatprepnow.com/module/gmat- ... cy?id=1100
Take x - y > 0 and add y to both sides to get: x > y?
REPHRASED target question: Is x > y?
Statement 1: x > |y|
First, we know that |y| is greater than or equal to zero.
So, this statement tells us that x is POSITIVE
Second, |y| denotes the MAGNITUDE of y. That is, |y| is y's distance from 0 on the number line.
So, if x > |y|, then this tells us that the MAGNITUDE of x is greater than the MAGNITUDE of y
Since we also know that x is POSITIVE, we can be certain that x > y
Since we can answer the REPHRASED target question with certainty, statement 1 is SUFFICIENT
Statement 2: y = -3
We have no information about x, so there's no way to determine whether x > y. So, statement 2 is NOT SUFFICIENT.
Answer = A
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Brent
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Max@Math Revolution
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==> In the original condition, the variables become 2(x,yn) and C is also an answer, but since it is a absolute value question with key question, if you apply CMT 4(A)
In the case of 1), x>|y|>=-y always leads to x>-y, x+y>0 hence yes at all time, it is suffi. Thus, the answer is A.
Answer A
- Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
In the case of 1), x>|y|>=-y always leads to x>-y, x+y>0 hence yes at all time, it is suffi. Thus, the answer is A.
Answer A
- Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.
Math Revolution
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Score an excellent Q49-51 just like 70% of our students.
[Free] Full on-demand course (7 days) - 100 hours of video lessons, 490 lesson topics, and 2,000 questions.
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