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14 Aug 2017, 05:54
Kudos
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
82% (01:17) correct
18%
(01:38)
wrong
based on 136
sessions
History
Date
Time
Result
Not Attempted Yet
Is x/y < 0?
(1) x^2 - 4x + 3 = 0
(2) y^2 – y – 6 = 0
(1) x^2 - 4x + 3 = 0
(2) y^2 – y – 6 = 0
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
14 Aug 2017, 06:01
Kudos
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Bunuel
Individual statements are not enough as each of the statement gives us the value of one variable involved.
Solving the two equations,
x = 1 or 3
y = -2 or 3
Combining the information from both the statements,
Because we have one value for y which is not negative, the expression x/y could be positive or negative(Insufficient)(Option E)
24 Aug 2017, 13:41
Kudos
Bookmarks
Bunuel
We need to determine whether x/y < 0. If xy < 0, then the values of x and y have opposite signs. That is, either x is positive and y is negative or x is negative and y is positive.
Statement One Alone:
x^2 - 4x + 3 = 0
x^2 - 4x + 3 = 0
(x - 3)(x - 1) = 0
x = 3 or x = 1
Since we know nothing about y, statement one alone is not sufficient to answer the question.
Statement Two Alone:
y^2 – y – 6 = 0
y^2 – y – 6 = 0
(y + 2)(y - 3) = 0
y = -2 or y = 3
Since we know nothing about x, statement two alone is not sufficient to answer the question.
Statements One and Two Together:
Using statements one and two, we know that x = 3 or x = 1 and y = -2 or y = 3. If x = 3 and y = 3, then x/y is positive, and if x = 3 and y = -2, then x/y is negative. The two statements together are not sufficient to answer the question.
Answer: E
