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10 Sep 2024, 12:06
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
(N/A)
Question Stats:
66% (01:50) correct
33% (01:33) wrong based on 3 sessions
History
Date
Time
Result
Not Attempted Yet
Quantity A
x
Quantity B
90
Attachment:
GMAT-Club-Forum-nvpcnqmp.jpeg [ 15.47 KiB | Viewed 387 times ]
17 Feb 2025, 11:05
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OE
The figure looks like a right triangle with legs of length 5 + y and 12 - y and hypotenuse of length 13. If y = 0, then the sides of the triangle have lengths 5, 12, and 13. Tis triangle is in fact a right triangle because \(5^2 + 12^2 = 13^2.\) So the angle labeled \(x^°\) is a right angle; that is, x = 90. In this case, Quantity A is equal to Quantity B.
Now consider another value of y, say y = 1, to see if the triangle is still a right triangle in this case. If y = 1, then the sides of the triangle have lengths 6, 11, and 13. This triangle is not a right triangle because \(6^2 + 11^2 ≠ 13^2.\) So the angle labeled \(x°\) is not a right angle; that is, x ≠ 90. In this case, Quantity A is not equal to Quantity B.
Because Quantity A is equal to Quantity B in one case and Quantity A is not equal to Quantity B in another case, the correct answer is Choice D.
The figure looks like a right triangle with legs of length 5 + y and 12 - y and hypotenuse of length 13. If y = 0, then the sides of the triangle have lengths 5, 12, and 13. Tis triangle is in fact a right triangle because \(5^2 + 12^2 = 13^2.\) So the angle labeled \(x^°\) is a right angle; that is, x = 90. In this case, Quantity A is equal to Quantity B.
Now consider another value of y, say y = 1, to see if the triangle is still a right triangle in this case. If y = 1, then the sides of the triangle have lengths 6, 11, and 13. This triangle is not a right triangle because \(6^2 + 11^2 ≠ 13^2.\) So the angle labeled \(x°\) is not a right angle; that is, x ≠ 90. In this case, Quantity A is not equal to Quantity B.
Because Quantity A is equal to Quantity B in one case and Quantity A is not equal to Quantity B in another case, the correct answer is Choice D.
