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![What is the value of x[square_root] 3[/square_root]](/forum/styles/gmatclub_light/imageset/icon_post_target_unread.svg "What is the value of x[square_root] 3[/square_root]"){kind=icon}
28 Mar 2019, 22:19
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
70% (01:33) correct
30%
(01:47)
wrong
based on 220
sessions
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Not Attempted Yet
What is the value of \(( x\sqrt{3} + y\sqrt{3} ) ^2\) ?
1. \(2x + 2y = 20\)
2. \(x^2 + xy = 100 - y^2 - xy\)
1. \(2x + 2y = 20\)
2. \(x^2 + xy = 100 - y^2 - xy\)
VISHWARATH
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Joined: 24 Dec 2012
Last visit: 28 Feb 2022
Posts: 6
Own Kudos:
Given Kudos: 18
Location: India
Schools: ISB '23 (A)
GMAT 1: 720 Q49 V44
GPA: 3.78
23 Aug 2021, 02:12
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The question stem is 3(x^2+y^2+2xy) = 3 (x+y)^2.
A: gives value of x+y, thus statement 1 is correct
B: Rearranging terms x^2+y^2+2xy=100 => x+y value is known. Correct
Thus answer choice D
A: gives value of x+y, thus statement 1 is correct
B: Rearranging terms x^2+y^2+2xy=100 => x+y value is known. Correct
Thus answer choice D
23 Aug 2021, 02:19
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Asked: What is the value of \(( x\sqrt{3} + y\sqrt{3} ) ^2\) ?
\(( x\sqrt{3} + y\sqrt{3} ) ^2 = 3xˆ2 + 3yˆ2 + 6xy = 3(x+y)ˆ2\)
1. \(2x + 2y = 20\)
x + y = 10
3(x+y)ˆ2 = 300
SUFFICIENT
2. \(x^2 + xy = 100 - y^2 - xy\)
\(x^2 + y^2+ 2xy = 100 \)
(x+y)ˆ2 = 100
3(x+y)ˆ2 = 300
SUFFICIENT
IMO D
\(( x\sqrt{3} + y\sqrt{3} ) ^2 = 3xˆ2 + 3yˆ2 + 6xy = 3(x+y)ˆ2\)
1. \(2x + 2y = 20\)
x + y = 10
3(x+y)ˆ2 = 300
SUFFICIENT
2. \(x^2 + xy = 100 - y^2 - xy\)
\(x^2 + y^2+ 2xy = 100 \)
(x+y)ˆ2 = 100
3(x+y)ˆ2 = 300
SUFFICIENT
IMO D
