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# What is the value of the positive integer n ?

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What is the value of the positive integer n ? [#permalink]  03 Jan 2014, 05:17
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The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the value of the positive integer n ?

(1) n^4 < 25
(2) $$n\neq{n^2}$$

Data Sufficiency
Question: 18
Category: Arithmetic Arithmetic operations
Page: 154
Difficulty: 600

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[Reveal] Spoiler: OA

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Math Expert
Joined: 02 Sep 2009
Posts: 27460
Followers: 4303

Kudos [?]: 42082 [0], given: 5956

Re: What is the value of the positive integer n ? [#permalink]  03 Jan 2014, 05:17
Expert's post
SOLUTION

What is the value of the positive integer n ?

Notice that we are told that n is a $$positive integer$$.

(1) n^4 < 25. Since n is a positive integer, then n can be 1 or 2. Not sufficient.

(2) $$n\neq{n^2}$$ --> $$n)\neq{1}$$. Not sufficient.

(1)+(2) Since from (2) $$n)\neq{1}$$, then from (1) n=2. Sufficient.

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Re: What is the value of the positive integer n ? [#permalink]  03 Jan 2014, 11:24
1
KUDOS
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the value of the positive integer n ?

(1) n^4 < 25
(2) $$n\neq{n^2}$$

Data Sufficiency
Question: 18
Category: Arithmetic Arithmetic operations
Page: 154
Difficulty: 600

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

Its C..

STATEMENT 1===== n4<25.. n can 1 AND 2.. 1^4=1 that is less than 25. N2=16 that is less than 25.

Statement 2====== n is not equal to n2 .. from this we can say this n is not 1..bt we dont knw n cud be 2 ,3 or 4 not sufficient.

Both statement togather are sufficient. n is 2 because from statement 1 we got that n cud be 2 or 1 ..and from statement 2 we got that n can not 1..so n is 2..sufficient.
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Re: What is the value of the positive integer n ? [#permalink]  04 Jan 2014, 09:31
1. The 2 numbers that have 4th power less than 25 are 1 and 2; 1 and 16
2. From this, n is anything but 1;

Both together, clearly, gives the value as 2. Sufficient.

(C).
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Re: What is the value of the positive integer n ? [#permalink]  05 Jan 2014, 10:33
1
KUDOS
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

What is the value of the positive integer n ?

(1) n^4 < 25
(2) $$n\neq{n^2}$$

Statement 1) n^4 < 25, both the values of n = 1 or 2 satisfies the statement. Not Sufficient.
Statement 2) n is not equal to n^2. We cannot determine any value of n from this statement. Not Sufficient.

Combining the two statement, only n = 2 satisfies both the condition. Hence Option C)
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Math Expert
Joined: 02 Sep 2009
Posts: 27460
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Kudos [?]: 42082 [0], given: 5956

Re: What is the value of the positive integer n ? [#permalink]  05 Jan 2014, 11:12
Expert's post
SOLUTION

What is the value of the positive integer n ?

Notice that we are told that n is a $$positive integer$$.

(1) n^4 < 25. Since n is a positive integer, then n can be 1 or 2. Not sufficient.

(2) $$n\neq{n^2}$$ --> $$n)\neq{1}$$. Not sufficient.

(1)+(2) Since from (2) $$n)\neq{1}$$, then from (1) n=2. Sufficient.

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Re: What is the value of the positive integer n ?   [#permalink] 05 Jan 2014, 11:12
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