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Portada del sitio > Recursos GMAT > GMAT QUANTITATIVE QUESTION > Data Sufficiency > GMAT QUESTION, data Sufficiency: Is the intersection of the two lines: (x + (...)

GMAT QUESTION, data Sufficiency: Is the intersection of the two lines: (x + y = 8) and (4y – 4x = 16) inside the circle: x2 + y2 = r2?



Jueves 19 de julio de 2018, por hurtado claudio

Is the intersection of the two lines: (x + y = 8) and (4y – 4x = 16) inside the circle: x2 + y2 = r2?

(1) r = 81.

(2) The center of the circle is at the coordinate (-99, -99).

(a)Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

(b)Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

(c)Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

(d)Either statement BY ITSELF is sufficient to answer the question.

(e)Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.


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The best answer is A.
The intersection point of the two lines is easy to find, its (2, 6).
In order for us to know if the point is inside the circle we need to know the exact location of the circle. Statement (1) clears the problem by giving us the radius so all the sufficient data is know.
Statement (2) is not sufficient because it tells us nothing about the radius of the circle.



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