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 is an integer and 1<x<9
[#permalink]
15 Oct 2018, 09:28
15 Oct 2018, 09:28
Expert Reply
2
Bookmarks
00:00
Question Stats:
72% (01:15) correct
27% (01:30) wrong based on 140 sessions
Hide Show timer Statistics
x is an integer.
\(1<x<9\)
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
\(1<x<9\)
Quantity A |
Quantity B |
\((\sqrt{x}+ \sqrt{x} )^2\) |
\(x + x \sqrt{x}\) |
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: x is an integer and 1<x<9
[#permalink]
15 Oct 2018, 10:07
15 Oct 2018, 10:07
1
Carcass wrote:
x is an integer.
\(1<x<9\)
\(1<x<9\)
Quantity A |
Quantity B |
\((\sqrt{x}+ \sqrt{x} )^2\) |
\(x + x \sqrt{x}\) |
Given:
Quantity A: (√x + √x)²
Quantity B: x + x√x
Simplify:
Quantity A: (2√x)²
Quantity B: x + x√x
Simplify again:
Quantity A: 4x
Quantity B: x + x√x
Subtract x from both quantities to get:
Quantity A: 3x
Quantity B: x√x
Since x is POSITIVE, we can safely divide both quantities by x to get:
Quantity A: 3
Quantity B: √x
We're told that x = 2, 3, 4, 5, 6, 7, or 8
For EVERY possible x-value, √x is ALWAYS less than 3 (i.e., √2 < 3, and √3 < 3, and √4 < 3 . . . and √8 < 3,
Answer: A
Cheers,
Brent
Re: x is an integer and 1<x<9
[#permalink]
02 Nov 2018, 21:49
02 Nov 2018, 21:49
GreenlightTestPrep wrote:
Carcass wrote:
x is an integer.
\(1<x<9\)
\(1<x<9\)
Quantity A |
Quantity B |
\((\sqrt{x}+ \sqrt{x} )^2\) |
\(x + x \sqrt{x}\) |
Given:
Quantity A: (√x + √x)²
Quantity B: x√x
Simplify:
Quantity A: (2√x)²
Quantity B: x√x
Simplify again:
Quantity A: 4x
Quantity B: x√x
Since x is POSITIVE, we can safely divide both quantities by x to get:
Quantity A: 4
Quantity B: √x
We're told that x = 2, 3, 4, 5, 6, 7, or 8
For EVERY possible x-value, √x is ALWAYS less than 4
Answer: A
Cheers,
Brent
The quantity B is x+sqrt(x) and not xsqrtx
However the answer doesn't change
