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N is an integer such that N > 1.

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Founder
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N is an integer such that N > 1. [#permalink]  02 Dec 2018, 05:33
Expert's post
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Question Stats:

93% (00:20) correct 6% (00:25) wrong based on 32 sessions
N is an integer such that $$N > 1$$.

 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
[Reveal] Spoiler: OA

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Director
Joined: 20 Apr 2016
Posts: 948
WE: Engineering (Energy and Utilities)
Followers: 13

Kudos [?]: 709 [2] , given: 152

Re: N is an integer such that N > 1. [#permalink]  04 Dec 2018, 06:01
2
KUDOS
Carcass wrote:
N is an integer such that $$N > 1$$.

 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
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GRE Instructor
Joined: 10 Apr 2015
Posts: 2181
Followers: 66

Kudos [?]: 2002 [1] , given: 20

Re: N is an integer such that N > 1. [#permalink]  04 Dec 2018, 10:01
1
KUDOS
Expert's post
Carcass wrote:
N is an integer such that $$N > 1$$.

 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

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Director
Joined: 09 Nov 2018
Posts: 509
Followers: 0

Kudos [?]: 31 [0], given: 1

Re: N is an integer such that N > 1. [#permalink]  01 Jan 2019, 22:38
GreenlightTestPrep wrote:
Carcass wrote:
N is an integer such that $$N > 1$$.

 Quantity A Quantity B $$(N+1)^2 -1$$ $$N^2$$

Given:
Quantity A: (N + 1)²
Quantity B: N²

Please fix... quantity A= (N + 1)²-1
NOT (N + 1)²
GRE Instructor
Joined: 10 Apr 2015
Posts: 2181
Followers: 66

Kudos [?]: 2002 [0], given: 20

Re: N is an integer such that N > 1. [#permalink]  02 Jan 2019, 05:59
Expert's post
AE wrote:
GreenlightTestPrep wrote:
Carcass wrote:
N is an integer such that $$N > 1$$.

 Quantity A Quantity B $$(N+1)^2 -1$$ $$N^2$$

Given:
Quantity A: (N + 1)²
Quantity B: N²

Please fix... quantity A= (N + 1)²-1
NOT (N + 1)²

Thanks for the heads up.
I have edited my response accordingly.

Cheers,
Brent
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Re: N is an integer such that N > 1.   [#permalink] 02 Jan 2019, 05:59
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