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# What is the value of a? (1) a^2 + a – 12 = 0 (2) |a| > 2

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Intern
Joined: 08 Jan 2019
Posts: 16
What is the value of a? (1) a^2 + a – 12 = 0 (2) |a| > 2  [#permalink]

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Updated on: 01 Feb 2019, 03:10
00:00

Difficulty:

15% (low)

Question Stats:

87% (01:02) correct 13% (00:44) wrong based on 39 sessions

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What is the value of a?

(1) a^2 + a – 12 = 0

(2) |a| > 2

Why is it not C?

Originally posted by DebbieChats on 01 Feb 2019, 03:05.
Last edited by Bunuel on 01 Feb 2019, 03:10, edited 1 time in total.
Renamed the topic and edited the question.
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Joined: 02 Sep 2009
Posts: 53004
Re: What is the value of a? (1) a^2 + a – 12 = 0 (2) |a| > 2  [#permalink]

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01 Feb 2019, 03:12
What is the value of a?

(1) a^2 + a – 12 = 0 --> a = -4 or a = 3. Not sufficient.

(2) |a| > 2 --> a < -2 or a > 2. Not sufficient.

(1)+(2) Both a = -4 and a = 3 satisfy |a| > 2, so we cannot find the single numerical value of a. Not sufficient.

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Re: What is the value of a? (1) a^2 + a – 12 = 0 (2) |a| > 2  [#permalink]

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01 Feb 2019, 03:20
(1)+(2) Both a = -4 and a = 3 satisfy |a| > 2, so we cannot find the single numerical value of a. Not sufficient.

1+2
a< -2 and a=-4 ...so a is -4? (C) wrong logic?
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Posts: 53004
Re: What is the value of a? (1) a^2 + a – 12 = 0 (2) |a| > 2  [#permalink]

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01 Feb 2019, 03:25
DebbieChats wrote:
(1)+(2) Both a = -4 and a = 3 satisfy |a| > 2, so we cannot find the single numerical value of a. Not sufficient.

1+2
a< -2 and a=-4 ...so a is -4? (C) wrong logic?

We don't have that a < -2. We have that |a| > 2, which means that a < -2 OR a > 2. Again, BOTH value from (1), a = -4 and a = 3, satisfy |a| > 2.
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Re: What is the value of a? (1) a^2 + a – 12 = 0 (2) |a| > 2  [#permalink]

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01 Feb 2019, 07:34
DebbieChats wrote:
What is the value of a?

(1) a^2 + a – 12 = 0

(2) |a| > 2

Why is it not C?

(1) Factoring gives (a+4) (a-3) = 0 so a=-4 or a=3

NS

(2) |a| >2 --> a>2 or a<-2 NS

(1) and (2) a=-4 or a =3 and a <-2 or a>2 NS E
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Re: What is the value of a? (1) a^2 + a – 12 = 0 (2) |a| > 2  [#permalink]

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02 Feb 2019, 00:30
DebbieChats wrote:
What is the value of a?

(1) a^2 + a – 12 = 0

(2) |a| > 2

Why is it not C?

#1
a can be -4 or +3
not sufficient
#2
lal>2 not sufficient
from 1& 2
a can be any value -4 or 3
not sufficient
IMOE
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Re: What is the value of a? (1) a^2 + a – 12 = 0 (2) |a| > 2   [#permalink] 02 Feb 2019, 00:30
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