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Difficulty:
45%
(medium)
Question Stats:
57%
(00:52)
correct 43%
(00:37)
wrong
based on 7
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56. What is the numerical value of x^2 – 25?
(1) x – 5 = 3 (2) 4 – x = 5
The ansewr is: c. Since x2 – 25 is the difference between two perfect squares, its factors are (x – 5) and (x + 5). State- ment (1) gives the value of x – 5. Statement (2) can be changed from 4 – x = 5 to 4 = x + 5 by adding x to both sides of the equation. Since you now know the numerical value of each factor, you can find the numerical value of x2 – 25.
Why isn't it D since you can find out the value of x from each number, you can find out what (x-5)(x+5) equals with either statement?
This was in the gmat exam success book
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The ansewr is: c. Since x2 – 25 is the difference between two perfect squares, its factors are (x – 5) and (x + 5). State- ment (1) gives the value of x – 5. Statement (2) can be changed from 4 – x = 5 to 4 = x + 5 by adding x to both sides of the equation. Since you now know the numerical value of each factor, you can find the numerical value of x2 – 25.
Why isn't it D since you can find out the value of x from each number, you can find out what (x-5)(x+5) equals with either statement?
This was in the gmat exam success book
Show more
Both the question and the explanation are wrong.
Technically answer should be D, as EACH statement ALONE is sufficient to answer the question.
But even though formal answer to the question is D (EACH statement ALONE is sufficient), this is not a realistic GMAT question, as: on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other. But the statements above contradict each other: From (1) we have that x=8 and from (2) we have that x=-1. The statements clearly contradict each other.
So, the question is flawed. You won't see such a question on the test. I would not recommend studying anything from that book.
This Question is Locked Due to Poor Quality
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The question you've reached has been archived due to not meeting our community quality standards. No more replies are possible here.
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