[Math Revolution GMAT math practice question]
Is x/y>1?
1) x>y
2) x-y>1
Is x/y>1?
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- Max@Math Revolution
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Target question: Is x/y > 1?Max@Math Revolution wrote:Is x/y > 1?
1) x > y
2) x - y > 1
Statement 1: x > y
Let's TEST some values.
There are several values of x and y that satisfy statement 1. Here are two:
Case a: x = 3 and y = 1. In this case, x/y = 3/1 = 3. So, the answer to the target question is YES, x/y IS greater than 1
Case b: x = 3 and y = -1. In this case, x/y = 3/(-1) = -3. So, the answer to the target question is NO, x/y is NOT greater than 1
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: x - y > 1
Let's TEST some values.
There are several values of x and y that satisfy statement 2. Here are two:
Case a: x = 3 and y = 1. In this case, x/y = 3/1 = 3. So, the answer to the target question is YES, x/y IS greater than 1
Case b: x = 3 and y = -1. In this case, x/y = 3/(-1) = -3. So, the answer to the target question is NO, x/y is NOT greater than 1
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Statements 1 and 2 combined
IMPORTANT: Notice that I was able to use the same counter-examples to show that each statement ALONE is not sufficient.
So, the same counter-examples will satisfy the two statements COMBINED.
In other words,
Case a: x = 3 and y = 1. In this case, x/y = 3/1 = 3. So, the answer to the target question is YES, x/y IS greater than 1
Case b: x = 3 and y = -1. In this case, x/y = 3/(-1) = -3. So, the answer to the target question is NO, x/y is NOT greater than 1
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT
Answer: E
Cheers,
Brent
- Max@Math Revolution
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=>
Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.
The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question.
x/y>1
=> xy>y^2
=> xy-y^2>0
=> y(x-y)>0
By condition 2), x-y > 1 > 0, but we can't determine whether y is positive from condition 1).
Therefore, E is the answer.
Answer: E
Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.
The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question.
x/y>1
=> xy>y^2
=> xy-y^2>0
=> y(x-y)>0
By condition 2), x-y > 1 > 0, but we can't determine whether y is positive from condition 1).
Therefore, E is the answer.
Answer: E
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.
[Course] Starting $79 for on-demand and $60 for tutoring per hour and $390 only for Live Online.
Email to : [email protected]