Is x = y?
(1) 2x/3  y/3 = 1/3
(2) x/4  y/4 = 0
B
Source: Official Guide 2020
Is x = y?
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Target question: Is x = y?AbeNeedsAnswers wrote:Is x = y?
(1) 2x/3  y/3 = 1/3
(2) x/4  y/4 = 0
Statement 1: 2x/3  y/3 = 1/3
Multiply both sides by 3 to get: 2x  y = 1
There are several values of x and y that satisfy this equation. Here are two:
Case a: x = 1 and y = 1. In this case, the answer to the target question is YES, it is the case that x = y
Case b: x = 2 and y = 3. In this case, the answer to the target question is NO, it is not the case that x = y
Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: x/4  y/4 = 0
Multiply both sides by 4 to get: x  y = 0
Add y to both sides to get: x = y
The answer to the target question is YES, it is the case that x = y
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: B
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Hi All,
We're asked if X = Y. This is a YES/NO question can be solved with a mix of Arithmetic and TESTing VALUES.
1) (2X/3)  (Y/3) = 1/3
Since each value in this equation is divided by 3, we can 'simplify' the equation by multiplying each term by 3. This gives us:
2X  Y = 1
2X = Y + 1
IF....
X=1 and Y= 1, then the answer to the question is YES.
X=1.5 and Y= 2, then the answer to the question is NO.
Fact 1 is INSUFFICIENT
2) (X/4)  (Y/4) = 0
Since each value in this equation is divided by 4, we can 'simplify' the equation by multiplying each term by 4. This gives us:
X  Y = 0
X = Y
The information in Fact 2 tells us that X and Y are EQUAL, so the answer to the question is ALWAYS YES.
Fact 2 is SUFFICIENT
Final Answer: B
GMAT assassins aren't born, they're made,
Rich
We're asked if X = Y. This is a YES/NO question can be solved with a mix of Arithmetic and TESTing VALUES.
1) (2X/3)  (Y/3) = 1/3
Since each value in this equation is divided by 3, we can 'simplify' the equation by multiplying each term by 3. This gives us:
2X  Y = 1
2X = Y + 1
IF....
X=1 and Y= 1, then the answer to the question is YES.
X=1.5 and Y= 2, then the answer to the question is NO.
Fact 1 is INSUFFICIENT
2) (X/4)  (Y/4) = 0
Since each value in this equation is divided by 4, we can 'simplify' the equation by multiplying each term by 4. This gives us:
X  Y = 0
X = Y
The information in Fact 2 tells us that X and Y are EQUAL, so 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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Solution:AbeNeedsAnswers wrote: ↑Wed May 08, 2019 7:48 pmIs x = y?
(1) 2x/3  y/3 = 1/3
(2) x/4  y/4 = 0
B
Source: Official Guide 2020
Question Stem Analysis:
We need to determine whether x = y.
Statement One Alone:
Multiplying the equation by 3, we have:
2x  y = 1
2x = y + 1
This does not allow us to determine whether x = y. For example, if x = 1 and y = 1, then x = y. However, if x = 2 and y = 3, then x ≠ y. Statement one alone is not sufficient.
Statement Two Alone:
Multiplying the equation by 4, we have:
x  y = 0
x = y
We see that x is indeed equal to y. Statement two alone is sufficient.
Answer: B
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