It is currently 27 Jun 2019, 00:05

### GMAT 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

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# n < - 1

Author Message
TAGS:
Founder
Joined: 18 Apr 2015
Posts: 7025
Followers: 117

Kudos [?]: 1372 [0], given: 6387

n < - 1 [#permalink]  20 Oct 2017, 02:45
Expert's post
00:00

Question Stats:

68% (00:25) correct 31% (00:48) wrong based on 19 sessions

$$n < - 1$$

 Quantity A Quantity B $$n^2 * n^4$$ $$(n^2)^4$$

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

_________________
Director
Joined: 03 Sep 2017
Posts: 520
Followers: 1

Kudos [?]: 360 [2] , given: 66

Re: n < - 1 [#permalink]  20 Oct 2017, 04:56
2
KUDOS
Quantity A is equal to $$n^2*n^4 = n^{2+4} = n^6$$. While quantity B is equal to $$(n^2)^4 = n^{2*4} = n^8$$. Thus, since the exponents are positive, the higher the exponent, the higher the quantity. Then, quantity B is greater!
Intern
Joined: 08 Oct 2018
Posts: 5
Followers: 0

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

Re: n < - 1 [#permalink]  27 Feb 2019, 22:31
I think the answer should be D, because when we put -1/2 A is bigger than B and if we put -2 so B is bigger than A, so i think the answer should be D
It is kind of you!
Founder
Joined: 18 Apr 2015
Posts: 7025
Followers: 117

Kudos [?]: 1372 [0], given: 6387

Re: n < - 1 [#permalink]  28 Feb 2019, 01:07
Expert's post
QA is $$n^6$$

QB is $$n^8$$

Even you plug in a quantity < -1 such as $$\frac{3}{2} = 1.5$$ the result will be in the first case 11.39 and in the second quantity 25.6.

So the answer is always B

Regards
_________________
Supreme Moderator
Joined: 01 Nov 2017
Posts: 370
Followers: 5

Kudos [?]: 112 [0], given: 4

Re: n < - 1 [#permalink]  28 Feb 2019, 09:46
Expert's post
shahab1987 wrote:
I think the answer should be D, because when we put -1/2 A is bigger than B and if we put -2 so B is bigger than A, so i think the answer should be D
It is kind of you!

Hi, we are looking for n<-1..

when you take n as -1/2, it is >-1, and thus outside the range n<-1.
_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html

GRE Instructor
Joined: 10 Apr 2015
Posts: 2027
Followers: 62

Kudos [?]: 1843 [1] , given: 9

Re: n < - 1 [#permalink]  28 Feb 2019, 09:58
1
KUDOS
Expert's post
Carcass wrote:

$$n < - 1$$

 Quantity A Quantity B $$n^2 * n^4$$ $$(n^2)^4$$

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.

Given:
Quantity A: (n²)(n⁴)
Quantity B: (n²)⁴

Simplify:
Quantity A: n⁶
Quantity B: n⁸

From here, we can solve this question using matching operations

Since n⁶ must be POSITIVE, we can safely divide both quantities by n⁶ to get:
Quantity A: 1
Quantity B: n²

Since n < -1, we know that n² is greater than 1

RELATED VIDEO FROM OUR COURSE

_________________

Brent Hanneson – Creator of greenlighttestprep.com

Re: n < - 1   [#permalink] 28 Feb 2019, 09:58
Display posts from previous: Sort by