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# If a < 0, is |a| - a - |2a| = ?

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Manager
Joined: 06 Jul 2014
Posts: 88
Location: India
Concentration: Finance, Entrepreneurship
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If a < 0, is |a| - a - |2a| = ?  [#permalink]

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16 Aug 2017, 11:46
2
5
00:00

Difficulty:

5% (low)

Question Stats:

90% (00:51) correct 10% (01:31) wrong based on 270 sessions

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If a < 0, is |a| - a - |2a| = ?

A. a
B. -1
C. 0
D. 1
E. –a
Math Expert
Joined: 02 Aug 2009
Posts: 7967
Re: If a < 0, is |a| - a - |2a| = ?  [#permalink]

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16 Aug 2017, 12:08
1
Bounce1987 wrote:
If a<0, is |a|-a-|2a|=?

A.a B. -1 C.0 D.1 E. –a

Hi..
Let a=-x, where x is positive..
So |-x|-(-x)-|2*-x|=|x|+x-|-2x|=x+x-2x=0

Or take a as any value say -1...
So |a|-a-|2a|=|-1|-(-1)-|2*-1|=1+1-2=0

C
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Re: If a < 0, is |a| - a - |2a| = ?  [#permalink]

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01 Oct 2017, 10:04
SUPPOSE a= - 2
|-2|- (-2) - |2 (-2)|
2+2-4=0.
hence ans is 0.
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Re: If a < 0, is |a| - a - |2a| = ?  [#permalink]

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21 Mar 2018, 23:13
Bounce1987 wrote:
If a < 0, is |a| - a - |2a| = ?

A. a
B. -1
C. 0
D. 1
E. –a

If a < 0, then |a| = -a

Therefore, we have

-a -a - (-2a)

-2a + 2a = 0

(C)
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Re: If a < 0, is |a| - a - |2a| = ?  [#permalink]

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23 Jul 2019, 11:01
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Re: If a < 0, is |a| - a - |2a| = ?   [#permalink] 23 Jul 2019, 11:01
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