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Intern  Joined: 27 Sep 2010
Posts: 23
What is the value of N?  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 65% (01:02) correct 35% (01:26) wrong based on 121 sessions

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What is the value of N?

(1) (N + 5)^3> 0
(2) (N - 5)^2≤ 0

Originally posted by MichelleSavina on 23 Jan 2011, 02:51.
Last edited by MichelleSavina on 23 Jan 2011, 03:19, edited 1 time in total.
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Joined: 02 Sep 2009
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Re: Q) What is the value of N?  [#permalink]

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MichelleSavina wrote:
Q) What is the value of N?
(1) (N + 5)3> 0
(2) (N - 5)2≤ 0

What is the value of N?

In order the answer to be B it should be as follows:

(1) (N + 5)^3> 0 --> n+5>0 --> n>-5, not sufficient to determine single numerical value of n.

(2) (N - 5)^2≤ 0 --> as square of a number is always non-negative (zero or positive), then (n-5)^2 can not be less than zero thus it must equal to zero: n-5=0 --> n=5. Sufficient.

MichelleSavina please check the questions for typos when posting.
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Bunuel wrote:

What is the value of N?

In order the answer to be B it should be as follows:
..... edited it.... next time will check it before i post it Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
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GMAT 1: 760 Q51 V42 GPA: 3.82
Re: What is the value of N?  [#permalink]

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MichelleSavina wrote:
What is the value of N?

(1) (N + 5)^3> 0
(2) (N - 5)^2≤ 0

Forget conventional ways of solving math questions. For DS problems, the VA (Variable Approach) method is the quickest and easiest way to find the answer without actually solving the problem. Remember that equal numbers of variables and independent equations ensure a solution.

Since we have 1 variable and 0 equations, D is most likely to be the answer. So, we should consider each of condition one by one first.

Condition 1):
N = 0, N = 1
Since we have many solutions, the condition 1) is not sufficient.

Condition 2)
We have the property (N-5)^2 ≥ 0 and (N-5)^2 ≤ 0 fromt the condition 2).
Since 0≤(N-5)^2 ≤ 0, we have (N-5)^2 = 0 or N = 5.
The condition 2) only is not sufficient.

Therefore, B is the answer.

If the original condition includes “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations” etc., one more equation is required to answer the question. If each of conditions 1) and 2) provide an additional equation, there is a 59% chance that D is the answer, a 38% chance that A or B is the answer, and a 3% chance that the answer is C or E. Thus, answer D (conditions 1) and 2), when applied separately, are sufficient to answer the question) is most likely, but there may be cases where the answer is A,B,C or E.
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_________________ Re: What is the value of N?   [#permalink] 14 May 2019, 00:32
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