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# If |n + 5| = 5, what is the value of n?

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If |n + 5| = 5, what is the value of n? [#permalink]

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14 May 2011, 06:33
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If |n + 5| = 5, what is the value of n?

(1) n^2 is not equal to 0.
(2) n^2 + 10n = 0.
[Reveal] Spoiler: OA

Last edited by Bunuel on 12 Jul 2013, 02:05, edited 1 time in total.
Edited the question.

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15 May 2011, 04:11
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$$n$$ could equals 0 or -10.
From 1) we have that n doesn't equal 0, so $$n=10$$, suff
From 2) $$n=0$$or $$n=-10$$ ins

(A)

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15 May 2011, 06:06
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|n+5| = 5 means,

n= 0 or -10.

a gives n= -10 sufficient.

b gives n=0 or -10. Not sufficient.

A.
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If | n + 5 | = 5, what is the value of n? (1) n ^ 2 is not equal to [#permalink]

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02 Sep 2015, 07:30
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If | n + 5 | = 5, what is the value of n?

(1) n ^ 2 is not equal to 0.

(2) n ^ 2 + 10n = 0

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

*EXPLAIN IN DETAIL
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If |n + 5| = 5, what is the value of n? [#permalink]

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02 Sep 2015, 07:39
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Expert's post
shakticnb wrote:
If | n + 5 | = 5, what is the value of n?

(1) n ^ 2 is not equal to 0.

(2) n ^ 2 + 10n = 0

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

*EXPLAIN IN DETAIL

Search for a question before posting a new post.

Topics merged.

Given |n+5| = 5 , this means that either n=0 or n =-10 and the question asks us what is the value of n?

Per statement 1, $$n^2$$ $$\neq$$0 ---> n$$\neq$$ 0 ---> n = -10 is the only value possible. Thus this statement is sufficient.

Per statement 2, $$n^2$$+10n=0 --> n(n+10) = 0 ---> either n = 0 or n = -10. This still does not give 1 unique value. This statement is not sufficient.

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Re: If |n + 5| = 5, what is the value of n? [#permalink]

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03 Sep 2015, 00:38
shakticnb wrote:
If | n + 5 | = 5, what is the value of n?

(1) n ^ 2 is not equal to 0.

(2) n ^ 2 + 10n = 0

Given: | n + 5 | = 5 => (n+5) = 5 or -5. Hence n = 0 or -10
Required: n =? This means we have to find a definitive value of n

Statement 1: $$n^{2}$$ ≠ 0
Hence n ≠ 0.
This leaves us with only one value of n = -10.

SUFFICIENT

Statement 2:
$$n^{2}$$ + 10n = 0
or n(n + 10) = 0
This gives us n = 0 and -10.
Still we do not have a unique value of n

INSUFFICIENT

So, the correct answer is A
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If |n + 5| = 5, what is the value of n? [#permalink]

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03 Sep 2015, 04:39
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Expert's post
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and equations ensures a solution.

If |n + 5| = 5, what is the value of n?

(1) n^2 is not equal to 0.
(2) n^2 + 10n = 0.

Transforming the original codntiion we have n+5=-5,5, n=-10,0. Since there is 1 variable (n), we need 1 equation to match the number of variable and equation. Since there is 1 each in 1) and 2), D is likely the answer.

In case of 1), since n is not 0, n = 10 this is a unique answer and therefore is sufficient.
In case of 2), n(n+10)=0, n=0,-10 therefore it is not unique. Thus it is not sufficient.
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Re: If |n + 5| = 5, what is the value of n? [#permalink]

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Re: If |n + 5| = 5, what is the value of n? [#permalink]

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23 Feb 2017, 04:45
If |n + 5| = 5, what is the value of n?

(1) n^2 is not equal to 0.
(2) n^2 + 10n = 0.

PROMPT ANALYSIS

|n + 5| =5 ;n+5 = 5 or n+5 =-5

SUPERSET

The value of n could be 0 or -10

TRANSLATION

In order to know the exact value we need:
Another condition to select between 2.
Exact value for decide between 2.

STATEMENT TRANSLATION

St 1: n^2 is not equal to 0.hence, n is not equal to 0. Therefore n = -10. ANSWER. Hence option C and E eliminated

St 2: n^2 +10n = 0. Therefore n(n+10)=0, n = 0,-10. INSUFFICIENT. Hence option B and D also eliminated

Option A.

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Re: If |n + 5| = 5, what is the value of n? [#permalink]

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01 Sep 2017, 15:14
anandhimanshu85 wrote:
If |n + 5| = 5, what is the value of n?

(1) n^2 is not equal to 0.
(2) n^2 + 10n = 0.

Two ways to approach absolute value

n +5 =5
n =0

-ln +5l =5
-n -5 =5
-n =10
n= -10

Stmnt 1

Suff because it cannot be the other x value

Stmnt 2

n( n +10) =0

n =- 10, n =0

Insuff

A

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Re: If |n + 5| = 5, what is the value of n?   [#permalink] 01 Sep 2017, 15:14
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