Source: GMAT Prep
In the fraction x/y, where x and y are positive integers, what is the value of y?
(1) The least common denominator of x/y and 1/3 is 6.
(2) x = 1.
The OA is E.
In the fraction x/y, where x and y are positive integers,
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Given: x/y is fraction such that x and y are positive integers.BTGmoderatorLU wrote:Source: GMAT Prep
In the fraction x/y, where x and y are positive integers, what is the value of y?
(1) The least common denominator of x/y and 1/3 is 6.
(2) x = 1.
The OA is E.
Question: What is the value of y?
Let's take each statement one by one.
(1) The least common denominator of x/y and 1/3 is 6.
=> y is 2 or 6. No unique answer. Insufficient.
(2) x = 1.
Can't get the value of y. Insufficient.
(1) and (2) together
Still y = 2 or 6. Insufficient.
The correct answer: E
Hope this helps!
-Jay
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Solution:BTGmoderatorLU wrote: ↑Thu Aug 09, 2018 3:17 pmSource: GMAT Prep
In the fraction x/y, where x and y are positive integers, what is the value of y?
(1) The least common denominator of x/y and 1/3 is 6.
(2) x = 1.
The OA is E.
Statement One Only:
The least common denominator of x/y and 1/3 is 6.
If the least common denominator of x/y and 1/3 is 6, then y could be either 2 or 6. Since y does not have a unique value, statement one is not sufficient.
Statement Two Only:
x = 1
This does not tell us anything about the value of y; statement two is not sufficient.
Statements One and Two Together:
Using the two statements, we have: the least common denominator of 1/y and 1/3 is 6. However, again, y could be either 2 or 6. The two statements together are not sufficient.
Answer: E
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