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X and Y

by GmatKiss » Sun May 20, 2012 7:42 am
If x and y are positive, is the ratio of x to y greater than 3?

(1) The ratio of 2x to 3y is greater than 2.

(2) x is 2 more than y times 3.
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Source: — Data Sufficiency |
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by neelgandham » Sun May 20, 2012 11:06 am
If x and y are positive, is the ratio of x to y greater than 3?
The question can be rephrased to If x,y>0 Is x>3y ?
(1) The ratio of 2x to 3y is greater than 2.

(2x/3y) > 2
x/y > 3(Multiplying both sides with 3/2).
So, statement 1 is sufficient to answer the question.
(2) x is 2 more than y times 3.
x = 3y+2. 3y+2>3y. i.e x>3y.
So, statement 2 is sufficient to answer the question.

IMO D
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by Anurag@Gurome » Sun May 20, 2012 9:34 pm
GmatKiss wrote:If x and y are positive, is the ratio of x to y greater than 3?

(1) The ratio of 2x to 3y is greater than 2.

(2) x is 2 more than y times 3.
Question is: Is x/y > 3?

(1) The ratio of 2x to 3y is greater than 2.
2x/3y > 2
x > 3y or x/y > 3; SUFFICIENT.

(2) x is 2 more than y times 3.
x = 2 + 3y implies x is 2 more than 3y; SUFFICIENT.

The correct answer is D.
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