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Compare values

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GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 120

Kudos [?]: 1910 [0], given: 397

Compare values [#permalink]  29 Apr 2018, 00:40
Expert's post
00:00

Question Stats:

81% (00:33) correct 18% (00:14) wrong based on 11 sessions
 Quantity A Quantity B (x³ + 1)² $$x^6$$

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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Sandy
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Manager
Joined: 26 Jan 2018
Posts: 186
Followers: 0

Kudos [?]: 115 [0], given: 3

Re: Compare values [#permalink]  04 May 2018, 04:01
If x is positive, then A is greater as we are adding 1 and 2x to B. But if x is negative, we will be deducting 2x from x^6+1 in which case, B would be greater.

So as no other conditions are mentioned, D is correct answer.
GRE Prep Club Legend
Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 120

Kudos [?]: 1910 [0], given: 397

Re: Compare values [#permalink]  13 May 2018, 15:37
Expert's post
Explanation

Plug in a value for x; you’re dealing with exponents, so keep your numbers small.

If x =0, then Quantity A is greater, so eliminate choices (B) and (C). If x = –1, though, then Quantity A = 0; Quantity B is now greater, so eliminate choice (A), and you’re left with choice (D).
_________________

Sandy
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Re: Compare values   [#permalink] 13 May 2018, 15:37
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