|
|
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
23 Jul 2015, 02:55
Kudos
Bookmarks
E
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:
58% (01:16) correct
42%
(00:55)
wrong
based on 151
sessions
History
Date
Time
Result
Not Attempted Yet
What is the value of x + y?
(1) x^2 + y^2 = 5
(2) xy = 2
Kudos for a correct solution.
(1) x^2 + y^2 = 5
(2) xy = 2
Kudos for a correct solution.
23 Jul 2015, 03:11
Kudos
Bookmarks
Bunuel
Question : x+y = ?
Statement 1: x^2 + y^2 = 5
(x+y)^2 = x^2 + y^2 + 2xy
but due to lack of information about 2xy, (x+y) can't be calculated. Hence,
NOT SUFFICIENT
Statement 2: xy = 2
(x+y)^2 = x^2 + y^2 + 2xy
but due to lack of information aboutx^2 + y^2, (x+y) can't be calculated. Hence,
NOT SUFFICIENT
Combining the two statements:
(x+y)^2 = x^2 + y^2 + 2xy = 5+2*2 = 9
i.e. (x+y) = +3
Two possible values of (x+y), hence
NOT SUFFICIENT
Answer: Option E
ENGRTOMBA2018
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
Posts: 2,319
Own Kudos:
Given Kudos: 816
Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
Products:
23 Jul 2015, 04:37
Kudos
Bookmarks
Bunuel
x+y=?
Per statement 1, x^2+y^2=5 ---> x = 1 , y = 2, -2 ---> 1+2 or 1-2 . Thus this statement is not sufficient.
Per statement 2, xy = 2--->x =1, y =2 or x =0.5, y =4 . Thus we get 1+2 or 0.5+4 . Thus this statement is not sufficient.
Combining, we get,
x^2+y^2=5 ---> (x+y)^2 - 2xy = 5 ---> (x+y)^2 = 5+2*2 = 9 ---> (x+y) 3 or -3. Thus we do not get a unique value for x+y ---> E is the correct answer.
