GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 13 Dec 2019, 03:28

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

What is the value of the positive integer n ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59722
What is the value of the positive integer n ?  [#permalink]

Show Tags

New post 03 Jan 2014, 06:17
1
8
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

77% (00:57) correct 23% (01:10) wrong based on 506 sessions

HideShow timer Statistics

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59722
Re: What is the value of the positive integer n ?  [#permalink]

Show Tags

New post 03 Jan 2014, 06:17
2
Senior Manager
Senior Manager
avatar
Joined: 06 Aug 2011
Posts: 317
Re: What is the value of the positive integer n ?  [#permalink]

Show Tags

New post 03 Jan 2014, 12:24
2
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:
1. Please provide your solutions to the questions;
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.
_________________
Bole So Nehal.. Sat Siri Akal.. Waheguru ji help me to get 700+ score !
Manager
Manager
User avatar
Status: GMATting
Joined: 21 Mar 2011
Posts: 105
Concentration: Strategy, Technology
GMAT 1: 590 Q45 V27
GMAT ToolKit User
Re: What is the value of the positive integer n ?  [#permalink]

Show Tags

New post 04 Jan 2014, 10:31
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).
Director
Director
User avatar
B
Joined: 03 Feb 2013
Posts: 836
Location: India
Concentration: Operations, Strategy
GMAT 1: 760 Q49 V44
GPA: 3.88
WE: Engineering (Computer Software)
Reviews Badge
Re: What is the value of the positive integer n ?  [#permalink]

Show Tags

New post 05 Jan 2014, 11:33
1
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)
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59722
Re: What is the value of the positive integer n ?  [#permalink]

Show Tags

New post 05 Jan 2014, 12:12
Math Revolution GMAT Instructor
User avatar
V
Joined: 16 Aug 2015
Posts: 8261
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: What is the value of the positive integer n ?  [#permalink]

Show Tags

New post 20 Sep 2015, 00:59
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 independent equations ensures a solution.

What is the value of the positive integer n ?

(1) n^4 < 25
(2) n≠n 2

In the original condition there is 1 variable (n) and in order to match the number of variable and equation, we need 1 equation. Since there is 1 each in 1) and 2), D has high probability of being the answer.

in case of 1), n=1,2 the answer is not unique, therefore the condition is NOT sufficient.
in case of 2), n=2,3.4.... and the answer is not unique. therefore the condition is NOT sufficient.
Using both 1) & 2) together, the answer is unique and therefore the conditions are sufficient. Thus the answer is C

Normally for cases where we need 1 more equation, such as original conditions with 1 variable, or 2 variables and 1 equation, or 3 variables and 2 equations, we have 1 equation each in both 1) and 2). Therefore D has a high chance of being the answer, which is why we attempt to solve the question using 1) and 2) separately. Here, there is 59 % chance that D is the answer, while A or B has 38% chance. There is 3% chance that C or E is the answer for the case. Since D is most likely to be the answer according to DS definition, we solve the question assuming D would be our answer hence using 1) and 2) separately. Obviously there may be cases where the answer is A, B, C or E.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 1 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"
Math Expert
avatar
V
Joined: 02 Aug 2009
Posts: 8309
Re: What is the value of the positive integer n ?  [#permalink]

Show Tags

New post 20 Sep 2015, 07:53
MathRevolution wrote:
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 independent equations ensures a solution.

What is the value of the positive integer n ?

(1) n^4 < 25
(2) n≠n 2

In the original condition there is 1 variable (n) and in order to match the number of variable and equation, we need 1 equation. Since there is 1 each in 1) and 2), D has high probability of being the answer.

in case of 1), n=1,2 the answer is not unique, therefore the condition is NOT sufficient.
in case of 2), n=2,3.4.... and the answer is not unique. therefore the condition is NOT sufficient.
Using both 1) & 2) together, the answer is unique and therefore the conditions are sufficient. Thus the answer is C

Normally for cases where we need 1 more equation, such as original conditions with 1 variable, or 2 variables and 1 equation, or 3 variables and 2 equations, we have 1 equation each in both 1) and 2). Therefore D has a high chance of being the answer, which is why we attempt to solve the question using 1) and 2) separately. Here, there is 59 % chance that D is the answer, while A or B has 38% chance. There is 3% chance that C or E is the answer for the case. Since D is most likely to be the answer according to DS definition, we solve the question assuming D would be our answer hence using 1) and 2) separately. Obviously there may be cases where the answer is A, B, C or E.


Hi,
using 1 and 2 separately is true for any of the options... be it A,B,C,D,E..
i do not think the observation of any two equations given would be the same.. equality and inequality of equations will have a great say on the possiblity of that equation giving us the answer so 59% may not be true for eq using < or >...
_________________
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8692
Location: United States (CA)
Re: What is the value of the positive integer n ?  [#permalink]

Show Tags

New post 28 Nov 2019, 17:36
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


n^4 < 25

We see that n can be 1 or 2. Statement one is not sufficient.

Statement Two Alone:

n ≠ n^2

We see that if n > 1, then n ≠ n^2. Since n can be an infinite number of values, statement two alone is not sufficient.

Statements One and Two Together:

From statement 1, we know that n can be 1 or 2. Statement 2 says that n ≠ n^2, and so n cannot equal 1 (since 1 = 1^2). Using statements one and two, we see that n must be 2.

Answer: C
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: What is the value of the positive integer n ?   [#permalink] 28 Nov 2019, 17:36
Display posts from previous: Sort by

What is the value of the positive integer n ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne