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12 Sep 2019, 01:13
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Bookmarks
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (01:01) correct
11%
(01:25)
wrong
based on 102
sessions
History
Date
Time
Result
Not Attempted Yet
If \(X^2 + Y^2 = A +3\), \(XY = 7\) and \((X + Y)^2 = 25\), what is the value of A?
A. 11.
B. 8.
C. 6.
D. 5.
E. 4.
A. 11.
B. 8.
C. 6.
D. 5.
E. 4.
firas92
Current Student
Joined: 16 Jan 2019
Last visit: 02 Dec 2024
Posts: 616
Given Kudos: 142
Location: India
Concentration: General Management
Schools: Tepper '23 (M$) Foster '23 (D)
GMAT 1: 740 Q50 V40
WE:Sales (Other)
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12 Sep 2019, 01:17
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Bookmarks
\((X+Y)^2 = X^2+Y^2+2XY\)
\(25=A+3+2(7)\)
\(A=25-14-3\)
\(A=8\)
Answer is (B)
\(25=A+3+2(7)\)
\(A=25-14-3\)
\(A=8\)
Answer is (B)
16 Sep 2019, 11:36
Kudos
Bookmarks
Bunuel
If we expand (X + Y)^2, we have:
X^2 + Y^2 + 2XY = 25
Since X^2 + Y^2 = A + 3, and since XY = 7, we can substitute, obtaining:
A + 3 + 14 = 25
A = 8
Answer: B
