If xy≠0, is (x^3 y^2)/(x^2 y^3 )=1?
1) x^2/y^2 =1
2) x^3/y^3 =1
* A solution will be posted in two days.
If xy≠0, is (x^3 y^2)/(x^2 y^3 )=1?
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- Max@Math Revolution
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Question : (x^3 y^2)/(x^2 y^3 )=1?Max@Math Revolution wrote:If xy≠0, is (x^3 y^2)/(x^2 y^3 )=1?
1) x^2/y^2 =1
2) x^3/y^3 =1
* A solution will be posted in two days.
Question : (x)/(y)=1?
Statement 1: x^2/y^2 =1
x/y = +1
NOT SUFFICIENT
Statement 2: x^3/y^3 =1
i.e. x/y = +1
SUFFICIENT
Answer: Option B
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S1::
x²/y² = 1 ->
x² = y² ->
x³y²/x²y³ = x�/(x�*y) = x/y
But since (x/y)² = 1, we could have (x/y) = 1 or (x/y) = -1.
S2::
x³ = y³ ->
x³y²/x²y³ = y³y²/x²y³ = y²/x²
Since (x/y)³ = 1, we have (x/y) = 1, or y = x, so (y/x)² = 1.
x²/y² = 1 ->
x² = y² ->
x³y²/x²y³ = x�/(x�*y) = x/y
But since (x/y)² = 1, we could have (x/y) = 1 or (x/y) = -1.
S2::
x³ = y³ ->
x³y²/x²y³ = y³y²/x²y³ = y²/x²
Since (x/y)³ = 1, we have (x/y) = 1, or y = x, so (y/x)² = 1.
- Max@Math Revolution
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If xy≠0, is (x^3 y^2)/(x^2 y^3 )=1?
1) x^2/y^2 =1
2) x^3/y^3 =1
When you modify the original condition and the question, they become (x^3 y^2)/(x^2 y^3 )=1?--> x/y=1?.
1) x/y=-1 no, x/y=1 yes, which is not sufficient.
2) x/y=1 yes, which is sufficient. Therefore, the answer is B.
� Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
1) x^2/y^2 =1
2) x^3/y^3 =1
When you modify the original condition and the question, they become (x^3 y^2)/(x^2 y^3 )=1?--> x/y=1?.
1) x/y=-1 no, x/y=1 yes, which is not sufficient.
2) x/y=1 yes, which is sufficient. Therefore, the answer is B.
� Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
Math Revolution
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Score an excellent Q49-51 just like 70% of our students.
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- Max@Math Revolution
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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.
If xy≠0, is (x^3 y^2)/(x^2 y^3 )=1?
1) x^2/y^2 =1
2) x^3/y^3 =1
When you modify the original condition and the question, they become (x^3 y^2)/(x^2 y^3 )=1?--> x/y=1?.
For 1), x/y=-1 -> no, x/y=1 -> yes, which is not sufficient.
For 2), x/y=1 -> yes, which is sufficient. Therefore, the answer is B.
� Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
If xy≠0, is (x^3 y^2)/(x^2 y^3 )=1?
1) x^2/y^2 =1
2) x^3/y^3 =1
When you modify the original condition and the question, they become (x^3 y^2)/(x^2 y^3 )=1?--> x/y=1?.
For 1), x/y=-1 -> no, x/y=1 -> yes, which is not sufficient.
For 2), x/y=1 -> yes, which is sufficient. Therefore, the answer is B.
� Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
Math Revolution
The World's Most "Complete" GMAT Math Course!
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]