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16 Sep 2025, 08:50
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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:
25%
(medium)
Question Stats:
80% (00:37) correct
20% (01:11) wrong based on 5 sessions
History
Date
Time
Result
Not Attempted Yet
Quantity A
x
Quantity B
y
Attachment:
GMAT-Club-Forum-1qi5qol8.png [ 14.24 KiB | Viewed 293 times ]
28 Sep 2025, 04:26
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Official Explanation
This is a direct application of the Pythagorean Theorem, \(a^2 + b^2 = c^2,\) which relates the side lengths in a right triangle. Notice that to solve for \(x\), you are finding the hypotenuse— \(c\) in the formula—but that to solve for \(y\), you are finding one of the legs – a or b in the formula. \(4^2 + 5^2 =\\
x^2,\) so \(16 + 25 = x^2,\) and \(x =\sqrt{41}\)
Furthermore, \(3^2 + y^2 = 7^2,\) so \(9 + y^2 = 49, \) making
Because
(A) is greater.
GMAT-Club-Forum-4h9ehjr7.png [ 13.52 KiB | Viewed 251 times ]
GMAT-Club-Forum-y5a18fle.png [ 6.63 KiB | Viewed 251 times ]
This is a direct application of the Pythagorean Theorem, \(a^2 + b^2 = c^2,\) which relates the side lengths in a right triangle. Notice that to solve for \(x\), you are finding the hypotenuse— \(c\) in the formula—but that to solve for \(y\), you are finding one of the legs – a or b in the formula. \(4^2 + 5^2 =\\
x^2,\) so \(16 + 25 = x^2,\) and \(x =\sqrt{41}\)
Furthermore, \(3^2 + y^2 = 7^2,\) so \(9 + y^2 = 49, \) making
Because
(A) is greater.
Attachment:
GMAT-Club-Forum-4h9ehjr7.png [ 13.52 KiB | Viewed 251 times ]
Attachment:
GMAT-Club-Forum-y5a18fle.png [ 6.63 KiB | Viewed 251 times ]
