Find all School-related info fast with the new School-Specific MBA Forum

It is currently 24 May 2016, 02:12
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If k is a positive integer, is k the square of an integer?

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

Hide Tags

1 KUDOS received
SVP
SVP
avatar
Joined: 21 Jul 2006
Posts: 1538
Followers: 8

Kudos [?]: 535 [1] , given: 1

If k is a positive integer, is k the square of an integer? [#permalink]

Show Tags

New post 21 Nov 2007, 16:23
1
This post received
KUDOS
14
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

52% (02:05) correct 48% (01:03) wrong based on 435 sessions

HideShow timer Statistics

If k is a positive integer, is k the square of an integer?

(1) k is divisible by 4.

(2) k is divisble by exactly four different prime numbers.
[Reveal] Spoiler: OA

Last edited by Bunuel on 01 Mar 2012, 01:08, edited 1 time in total.
Edited the question and added the OA
Director
Director
User avatar
Joined: 08 Jun 2007
Posts: 583
Followers: 2

Kudos [?]: 86 [0], given: 0

Re: DS- is k the square of an integer? [#permalink]

Show Tags

New post 21 Nov 2007, 17:43
tarek99 wrote:
If k is a positive integer, is k the square of an integer?

(1) k is divisible by 4

(2) k is divisble by exactly four different prime numbers.



please provide explanation when choosing your answer.


B for me.
1) doesnt make any point..can be 4 8 16 20..not suff

2) for a number which is divisible by 4 different prime numbers ,its square cannot be integer.
Manager
Manager
avatar
Joined: 03 Sep 2006
Posts: 233
Followers: 1

Kudos [?]: 11 [0], given: 0

 [#permalink]

Show Tags

New post 21 Nov 2007, 20:00
B for me

I. k could be 8 or could be 16 - INS
II. K could be 2*3*5*7 or 3*5*7*11 (so do others). Neither number is a perfect square, hence my ans is B
Intern
Intern
avatar
Joined: 06 Sep 2007
Posts: 8
Followers: 0

Kudos [?]: 1 [0], given: 0

HELP ME [#permalink]

Show Tags

New post 21 Nov 2007, 22:24
If k is 2^2*3^2*5^2*7^2 ie (2*3*5*7)^2

on this condition, is B right?
Director
Director
User avatar
Joined: 03 May 2007
Posts: 886
Schools: University of Chicago, Wharton School
Followers: 6

Kudos [?]: 115 [0], given: 7

Re: DS- is k the square of an integer? [#permalink]

Show Tags

New post 22 Nov 2007, 00:07
tarek99 wrote:
If k is a positive integer, is k the square of an integer?

(1) k is divisible by 4

(2) k is divisble by exactly four different prime numbers.

please provide explanation when choosing your answer.


E. K could be (2x3x5x7) or (2x2x3x5x7) or (2x3x5x7)^2.
SVP
SVP
avatar
Joined: 21 Jul 2006
Posts: 1538
Followers: 8

Kudos [?]: 535 [0], given: 1

 [#permalink]

Show Tags

New post 22 Nov 2007, 03:00
the OA is E. but i don't understand how. can anyone provide the detailed steps so that we can learn from this? it would be cool for all of us.

thanks
1 KUDOS received
SVP
SVP
avatar
Joined: 21 Jul 2006
Posts: 1538
Followers: 8

Kudos [?]: 535 [1] , given: 1

 [#permalink]

Show Tags

New post 22 Nov 2007, 03:33
1
This post received
KUDOS
Fistail, so when the question mentions for 4 different prime numbers, we can actually have 6 prime numbers in total but could be repeated numbers or have exactly 4 prime numbers that are different. so if the question specifies that there are only 4 prime numbers and each is different, then we could answer this with C because we can never have such a number that is a multiple of 4 because we only have 1 even number, which is 2, therefore, C would say that such a combination can not be possible. correct?
Expert Post
6 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 32959
Followers: 5743

Kudos [?]: 70341 [6] , given: 9843

Re: If k is a positive integer, is k the square of an integer? [#permalink]

Show Tags

New post 01 Mar 2012, 01:11
6
This post received
KUDOS
Expert's post
6
This post was
BOOKMARKED
tarek99 wrote:
If k is a positive integer, is k the square of an integer?

(1) k is divisible by 4.

(2) k is divisble by exactly four different prime numbers.


Responding to a pm.

If k is a positive integer, is k the square of an integer?

(1) k is divisible by 4. If \(k=4\) answer is YES, but if \(k=8\) answers is NO. Not sufficient.

(2) k is divisible by exactly four different prime numbers.

We don't know the powers of these primes, so if \(k=2^2*3*5*7\) the answer is NO, but if \(k=(2^2*3*5*7)^2\) the answer is YES (\(k\) equals to square of some integer). Not sufficient.

(1)+(2) Again if \(k=2^2*3*5*7\) the answer is NO, but if \(k=(2^2*3*5*7)^2\) the answer is YES. Not sufficient.

Answer: E.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 10 Jan 2012
Posts: 43
Location: United States
Concentration: Finance, Entrepreneurship
Schools: Jones '15 (M)
Followers: 0

Kudos [?]: 11 [0], given: 11

Re: If k is a positive integer, is k the square of an integer? [#permalink]

Show Tags

New post 10 Apr 2012, 11:15
Hello Bunuel,

I chose B and I understand that in order for k to be the square of an integer it's factors need to come in pairs I also understand your explanation. But I'm a little confused, I guess on the wording, that k is divisible by exactly four different prime factors. How can we tell or know not to assume that those four different prime factors aren't squared? I just saw four different and thought there can't be multiples..? Hope this makes sense.
Thank you
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 32959
Followers: 5743

Kudos [?]: 70341 [0], given: 9843

Re: If k is a positive integer, is k the square of an integer? [#permalink]

Show Tags

New post 10 Apr 2012, 11:29
Expert's post
destroyerofgmat wrote:
Hello Bunuel,

I chose B and I understand that in order for k to be the square of an integer it's factors need to come in pairs I also understand your explanation. But I'm a little confused, I guess on the wording, that k is divisible by exactly four different prime factors. How can we tell or know not to assume that those four different prime factors aren't squared? I just saw four different and thought there can't be multiples..? Hope this makes sense.
Thank you


I don't quite understand what you mean by the red part.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Intern
Intern
avatar
Joined: 10 Jan 2012
Posts: 43
Location: United States
Concentration: Finance, Entrepreneurship
Schools: Jones '15 (M)
Followers: 0

Kudos [?]: 11 [0], given: 11

Re: If k is a positive integer, is k the square of an integer? [#permalink]

Show Tags

New post 10 Apr 2012, 12:21
Bunuel wrote:

(2) k is divisible by exactly four different prime numbers.

We don't know the powers of these primes, so if \(k=2^2*3*5*7\) the answer is NO, but if \(k=(2^2*3*5*7)^2\) the answer is YES (\(k\) equals to square of some integer). Not sufficient.



This is what I was confused by - so even though you have multiple prime numbers as in (2^2*3*5*7)^2 this is still considered exactly four different prime numbers? Therefore stat 2 is insuff?

Or put differently if I were to ask someone which scenario has exactly four different prime numbers
1 - 2^2*3*5*7
2 - (2^2*3*5*7)^2
the answer would be that they both have four different prime numbers?

Thank you
Expert Post
1 KUDOS received
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 32959
Followers: 5743

Kudos [?]: 70341 [1] , given: 9843

Re: If k is a positive integer, is k the square of an integer? [#permalink]

Show Tags

New post 10 Apr 2012, 12:28
1
This post received
KUDOS
Expert's post
destroyerofgmat wrote:
Bunuel wrote:

(2) k is divisible by exactly four different prime numbers.

We don't know the powers of these primes, so if \(k=2^2*3*5*7\) the answer is NO, but if \(k=(2^2*3*5*7)^2\) the answer is YES (\(k\) equals to square of some integer). Not sufficient.



This is what I was confused by - so even though you have multiple prime numbers as in (2^2*3*5*7)^2 this is still considered exactly four different prime numbers? Therefore stat 2 is insuff?

Or put differently if I were to ask someone which scenario has exactly four different prime numbers
1 - 2^2*3*5*7
2 - (2^2*3*5*7)^2
the answer would be that they both have four different prime numbers?

Thank you


Yes, both 2^2*3*5*7 and (2^2*3*5*7)^2 have 4 different primes, namely; 2, 3, 5, and 7. How else?

Consider this: 2, 4, 8, and 16 all have only one distinct prime, which is 2.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Moderator
Moderator
User avatar
Joined: 10 May 2010
Posts: 823
Followers: 25

Kudos [?]: 379 [0], given: 192

GMAT ToolKit User Premium Member
Re: If k is a positive integer, is k the square of an integer? [#permalink]

Show Tags

New post 10 Apr 2012, 12:30
Exactly 4 different prime numbers means divisible by only 4 different prime numbers and no other factors. But again this is not possible as if you have 4 different prime factors then you can also have non prime factors. Also 1 is a factor of all the numbers.
_________________

The question is not can you rise up to iconic! The real question is will you ?

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 32959
Followers: 5743

Kudos [?]: 70341 [0], given: 9843

Re: If k is a positive integer, is k the square of an integer? [#permalink]

Show Tags

New post 10 Apr 2012, 12:36
Expert's post
AbhiJ wrote:
Exactly 4 different prime numbers means divisible by only 4 different prime numbers and no other factors. But again this is not possible as if you have 4 different prime factors then you can also have non prime factors. Also 1 is a factor of all the numbers.


That's not correct.

For example: 6 is divisible by exactly two distinct prime factors 2 and 3, but this doesn't mean that 6 divisible by ONLY two factors each of which is a prime.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

1 KUDOS received
Intern
Intern
avatar
Joined: 10 Jan 2012
Posts: 43
Location: United States
Concentration: Finance, Entrepreneurship
Schools: Jones '15 (M)
Followers: 0

Kudos [?]: 11 [1] , given: 11

Re: If k is a positive integer, is k the square of an integer? [#permalink]

Show Tags

New post 10 Apr 2012, 12:45
1
This post received
KUDOS
Bunuel wrote:

Yes, both 2^2*3*5*7 and (2^2*3*5*7)^2 have 4 different primes, namely; 2, 3, 5, and 7. How else?

Consider this: 2, 4, 8, and 16 all have only one distinct prime, which is 2.

Hope it's clear.


Thanks Bunuel. Another kudos to you, fine sir.

I guess I was thinking that squaring changes TOTAL factors but not different prime factors.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 32959
Followers: 5743

Kudos [?]: 70341 [0], given: 9843

Re: If k is a positive integer, is k the square of an integer? [#permalink]

Show Tags

New post 10 Apr 2012, 12:56
Expert's post
destroyerofgmat wrote:
Bunuel wrote:

Yes, both 2^2*3*5*7 and (2^2*3*5*7)^2 have 4 different primes, namely; 2, 3, 5, and 7. How else?

Consider this: 2, 4, 8, and 16 all have only one distinct prime, which is 2.

Hope it's clear.


Thanks Bunuel. Another kudos to you, fine sir.

I guess I was thinking that squaring changes TOTAL factors but not different prime factors.


If \(a\) and \(b\) are positive integers then \(a^b\) will have as many different prime factors as \(a\) itself, exponentiation doesn't "produce" primes.

For example: 6, 6^2, 6^3, ..., 6^100 will all have only two distinct primes: 2 and 3. Though total # of factors will naturally be different: # of factors of 6=2*3 is 4, # of factors of 6^2=2^2*3^2 is (2+1)(2+1)=9, ...

For more on this check Number Theory chapter of Math Book: math-number-theory-88376.html

Hope it helps.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9607
Followers: 465

Kudos [?]: 120 [0], given: 0

Premium Member
Re: If k is a positive integer, is k the square of an integer? [#permalink]

Show Tags

New post 26 Nov 2013, 14:07
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Manager
Manager
avatar
Joined: 10 Mar 2014
Posts: 232
Followers: 1

Kudos [?]: 55 [0], given: 13

Premium Member
Re: If k is a positive integer, is k the square of an integer? [#permalink]

Show Tags

New post 26 Apr 2014, 05:16
Bunuel wrote:
tarek99 wrote:
If k is a positive integer, is k the square of an integer?

(1) k is divisible by 4.

(2) k is divisble by exactly four different prime numbers.


Responding to a pm.

If k is a positive integer, is k the square of an integer?

(1) k is divisible by 4. If \(k=4\) answer is YES, but if \(k=8\) answers is NO. Not sufficient.

(2) k is divisible by exactly four different prime numbers.

We don't know the powers of these primes, so if \(k=2^2*3*5*7\) the answer is NO, but if \(k=(2^2*3*5*7)^2\) the answer is YES (\(k\) equals to square of some integer). Not sufficient.

(1)+(2) Again if \(k=2^2*3*5*7\) the answer is NO, but if \(k=(2^2*3*5*7)^2\) the answer is YES. Not sufficient.

Answer: E.

Hope it's clear.


Hi Bunnel,

I have a doubt. following are the details

1.As in your previous post you have suggested a perfect square will always have odd number of multiples. Now we have 4 different prime numbers as factor

ex. 2^1 *3^1* 5^1*7^1 so number of factors=( 2*2*2*2) = 16 can not be perfect square we can take diff. powers such as 2,3,4 and verify

we can consider this or not?

Please clarify

Thanks.
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 32959
Followers: 5743

Kudos [?]: 70341 [0], given: 9843

If k is a positive integer, is k the square of an integer? [#permalink]

Show Tags

New post 26 Apr 2014, 09:48
Expert's post
PathFinder007 wrote:
Bunuel wrote:
tarek99 wrote:
If k is a positive integer, is k the square of an integer?

(1) k is divisible by 4.

(2) k is divisble by exactly four different prime numbers.


Responding to a pm.

If k is a positive integer, is k the square of an integer?

(1) k is divisible by 4. If \(k=4\) answer is YES, but if \(k=8\) answers is NO. Not sufficient.

(2) k is divisible by exactly four different prime numbers.

We don't know the powers of these primes, so if \(k=2^2*3*5*7\) the answer is NO, but if \(k=(2^2*3*5*7)^2\) the answer is YES (\(k\) equals to square of some integer). Not sufficient.

(1)+(2) Again if \(k=2^2*3*5*7\) the answer is NO, but if \(k=(2^2*3*5*7)^2\) the answer is YES. Not sufficient.

Answer: E.

Hope it's clear.


Hi Bunnel,

I have a doubt. following are the details

1.As in your previous post you have suggested a perfect square will always have odd number of multiples. Now we have 4 different prime numbers as factor

ex. 2^1 *3^1* 5^1*7^1 so number of factors=( 2*2*2*2) = 16 can not be perfect square we can take diff. powers such as 2,3,4 and verify

we can consider this or not?

Please clarify

Thanks.


Firs of all a prefect square has odd number of factors, not multiples, the number of multiples is not limited for any integer.

Next, I don't quite understand how are you trying to use that in your solution. Anyway, in my post there are two examples given: one is not a prefect square (\(k=2^2*3*5*7\)) and another is (\(k=(2^2*3*5*7)^2\)).
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9607
Followers: 465

Kudos [?]: 120 [0], given: 0

Premium Member
Re: If k is a positive integer, is k the square of an integer? [#permalink]

Show Tags

New post 29 May 2015, 02:56
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Re: If k is a positive integer, is k the square of an integer?   [#permalink] 29 May 2015, 02:56
    Similar topics Author Replies Last post
Similar
Topics:
5 Experts publish their posts in the topic If k is a positive integer, is k an integer? gmatser1 4 22 Jun 2015, 17:35
5 Experts publish their posts in the topic Is k the square of an integer? jsphcal 4 18 Dec 2012, 23:04
8 Experts publish their posts in the topic If k is a positive integer, is square root of k an integer? enigma123 3 07 Mar 2012, 15:55
If k is a positive integer, is k the square of an integer? praveenism 2 07 Jun 2010, 02:37
15 If K is a positive integer, is K the square of an integer? adam15 7 07 Dec 2009, 11:23
Display posts from previous: Sort by

If k is a positive integer, is k the square of an integer?

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.