GRE Prep 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.
x^2=9 and y^2=5
[#permalink]
16 Nov 2020, 07:19
16 Nov 2020, 07:19
Expert Reply
2
Bookmarks
00:00
Question Stats:
56% (01:08) correct
43% (01:13) wrong based on 74 sessions
Hide Show timer Statistics
\(x^2=9\) and \(y^2=5\)
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Kudos for the right solution and explanation
Source: 320 GRE Math Questions
Quantity A |
Quantity B |
\([2x+y]^2\) |
\(65\) |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Kudos for the right solution and explanation
Source: 320 GRE Math Questions
Re: x^2=9 and y^2=5
[#permalink]
16 Nov 2020, 23:50
16 Nov 2020, 23:50
1
x2=9 and y2=5.
x = + or - 3 and y = + or - √5.
|2x+y|^2 = (2x+y)^2 or (-2x - y)^2.
One case can be:
(2*3 + √5)^2 = 36 + 5 + 12√5 = 41 + 12 * 2.2 = 41 + 26.4 = 67.4. Quantity A is greater.
Another case:
((-2 *-3) - √5)^2 = (6-√5)^2 = 36 + 5 - 2*6*√5 = 41 - 26.4 = 14.6. Quantity B is greater.
Therefore correct option is D.
x = + or - 3 and y = + or - √5.
|2x+y|^2 = (2x+y)^2 or (-2x - y)^2.
One case can be:
(2*3 + √5)^2 = 36 + 5 + 12√5 = 41 + 12 * 2.2 = 41 + 26.4 = 67.4. Quantity A is greater.
Another case:
((-2 *-3) - √5)^2 = (6-√5)^2 = 36 + 5 - 2*6*√5 = 41 - 26.4 = 14.6. Quantity B is greater.
Therefore correct option is D.
gmatclubot
Re: x^2=9 and y^2=5 [#permalink]
16 Nov 2020, 23:50
Moderators:
