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.
N is an integer such that N > 1.
[#permalink]
02 Dec 2018, 05:33
02 Dec 2018, 05:33
Expert Reply
00:00
Question Stats:
91% (00:31) correct
8% (00:51) wrong based on 134 sessions
Hide Show timer Statistics
N is an integer such that \(N > 1\).
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
Quantity A |
Quantity B |
\((N+1)^2 -1\) |
\(N^2\) |
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
Re: N is an integer such that N > 1.
[#permalink]
04 Dec 2018, 06:01
04 Dec 2018, 06:01
3
1
Bookmarks
Carcass wrote:
N is an integer such that \(N > 1\).
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
Quantity A |
Quantity B |
\((N+1)^2 -1\) |
\(N^2\) |
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
Explanation::
Qty A = \((N+1)^2 -1 = N^2 + 2N + 1 - 1 = N^2 + 2N\)
Therefore
\(N^2 + 2N > N^2\)
Hence Option A
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: N is an integer such that N > 1.
[#permalink]
04 Dec 2018, 10:01
04 Dec 2018, 10:01
3
Carcass wrote:
N is an integer such that \(N > 1\).
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
Quantity A |
Quantity B |
\((N+1)^2 -1\) |
\(N^2\) |
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
We can solve this question using matching operations
Given:
Quantity A: (N + 1)² - 1
Quantity B: N²
Expand and simplify Quantity A to get:
Quantity A: N² + 2N
Quantity B: N²
Subtract N² from both quantities to get:
Quantity A: 2N
Quantity B: 0
Divide both quantities b 2 to get:
Quantity A: N
Quantity B: 0
Since we're told that N > 1, we know that N must be POSITIVE.
So, we have:
Quantity A: some POSITIVE number
Quantity B: 0
Answer: A
RELATED VIDEO FROM OUR COURSE
