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)/3
[#permalink]
Updated on: 27 Dec 2018, 05:43
Updated on: 27 Dec 2018, 05:43
Expert Reply
2
Bookmarks
00:00
Question Stats:
74% (01:08) correct
25% (01:10) wrong based on 255 sessions
Hide Show timer Statistics
Given \(x >4\)
Quantity A |
Quantity B |
\(\left[ \begin{array}{cc|r} \frac{\frac{(x^2 - 9)}{3}}{\frac{(x+3)}{8} \end{array} \right] ^{-1}\) |
\(\frac{3}{8}\) |
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.
Retired Moderator
Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
(x^2 - 9)/3
[#permalink]
25 Mar 2021, 22:48
25 Mar 2021, 22:48
1
1
Bookmarks
Carcass wrote:
Given \(x >4\)
Quantity A |
Quantity B |
\(\left[ \begin{array}{cc|r} \frac{\frac{(x^2 - 9)}{3}}{\frac{(x+3)}{8} \end{array} \right] ^{-1}\) |
\(\frac{3}{8}\) |
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.
Col. A: \(\left[ \begin{array}{cc|r} \frac{\frac{(x^2 - 9)}{3}}{\frac{(x+3)}{8} \end{array} \right] ^{-1}\)
Col. B: \(\frac{3}{8}\)
Col. A: \(\left[ \begin{array}{cc|r}{\frac{(x+3)(x-3)}{3}\frac{8}{(x+3)} \end{array} \right] ^{-1}\)
Col. B: \(\frac{3}{8}\)
Col. A: \(\frac{3}{8(x-3)}\)
Col. B: \(\frac{3}{8}\)
Multiplying both sides by \(\frac{8}{3}\);
Col. A: \(\frac{1}{(x-3)}\)
Col. B: \(1\)
Since, \(x > 4, (x-3) > 0\)
Multiplying both sides by \((x-3)\);
Col. A: \(1\)
Col. B: \((x-3)\)
Adding \(3\) to both sides;
Col. A: \(4\)
Col. B: \(x\)
Hence, option B
