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03 Oct 2018, 01:56
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B
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Difficulty:
5%
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Question Stats:
87% (00:54) correct
13%
(00:53)
wrong
based on 807
sessions
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What is the ratio of x to y?
(1) x is 4 more than twice y.
(2) The ratio of 0.5x to 2y is 3:5.
(1) x is 4 more than twice y.
(2) The ratio of 0.5x to 2y is 3:5.
03 Oct 2018, 02:03
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Bunuel
What is the ratio of x to y?
(1) x is 4 more than twice y.
(2) The ratio of 0.5x to 2y is 3:5.
(1) x is 4 more than twice y.
(2) The ratio of 0.5x to 2y is 3:5.
Question: x:y = ?
Statement 1: x = 4+2y
i.e. x/y = (4/y) + 2
We using this information x/y can't be calculated cause y is unknown hence
NOT SUFFICIENT
Statement 2: The ratio of 0.5x to 2y is 3:5
i.e. 0.5x / 2y = 3/5
i.e. x/4y = 3/5
i.e. x/y = 12/5
SUFFICIENT
Answer: Option B
27 Jan 2020, 20:50
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Bunuel
What is the ratio of x to y?
(1) x is 4 more than twice y.
(2) The ratio of 0.5x to 2y is 3:5.
(1) x is 4 more than twice y.
(2) The ratio of 0.5x to 2y is 3:5.
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.
Visit https://www.mathrevolution.com/gmat/lesson for details.
When a question asks for a ratio, if one condition includes a ratio and the other condition just gives a number, the condition including the ratio is most likely to be sufficient. This tells us that B is most likely to be the answer to this question.
The first step of the VA (Variable Approach) method is to modify the original condition and the question. We then recheck the question. We should simplify conditions if necessary.
Condition 2)
Since 0.5x:2y = 3:5, we have x:4y = 3:5 or x:y = 3:5/4 = 12:5
Since condition 2) yields a unique solution, it is sufficient.
Condition 1)
We have x = 2y + 4.
If x = 6, y = 1, then we have x:y = 6:1.
If x = 8, y = 2, then we have x:y = 4:1.
Since condition 1) does not yield a unique solution, it is not sufficient.
Therefore, A is the answer.
