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# If a = -0.3, which of the following is true?

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If a = -0.3, which of the following is true? [#permalink]  28 May 2020, 07:13
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Question Stats:

49% (00:29) correct 50% (00:29) wrong based on 51 sessions
If $$a = -0.3$$, which of the following is true?

(A) $$a < a^2 < a^3$$
(B) $$a < a^3 < a^2$$
(C) $$a^2 < a < a^3$$
(D) $$a^2 < a^3 < a$$
(E) $$a^3 < a < a^2$$
[Reveal] Spoiler: OA

_________________
Founder
Joined: 18 Apr 2015
Posts: 13892
GRE 1: Q160 V160
Followers: 313

Kudos [?]: 3676 [0], given: 12919

Re: If a = -0.3, which of the following is true? [#permalink]  28 May 2020, 07:13
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Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!

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Joined: 10 Apr 2015
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Kudos [?]: 4766 [1] , given: 70

Re: If a = -0.3, which of the following is true? [#permalink]  28 May 2020, 08:22
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Expert's post
Carcass wrote:
If $$a = -0.3$$, which of the following is true?

(A) $$a < a^2 < a^3$$
(B) $$a < a^3 < a^2$$
(C) $$a^2 < a < a^3$$
(D) $$a^2 < a^3 < a$$
(E) $$a^3 < a < a^2$$

If a = -0.3, then:
a = -0.3
a² = (-0.3)(-0.3) = 0.09
a³ = (-0.3)(-0.3)(-0.3) = -0.027

If we order these values, we get: -0.3 < -0.027 < 0.09
In other words, a < a³ < a²

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com

Re: If a = -0.3, which of the following is true?   [#permalink] 28 May 2020, 08:22
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