It is currently 19 Feb 2018, 09:46

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

M19-17

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

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43808
M19-17 [#permalink]

Show Tags

New post 16 Sep 2014, 00:06
Expert's post
11
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

48% (00:46) correct 52% (00:40) wrong based on 175 sessions

HideShow timer Statistics

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43808
Re M19-17 [#permalink]

Show Tags

New post 16 Sep 2014, 00:06
Expert's post
2
This post was
BOOKMARKED
Official Solution:


Statement (1) by itself is insufficient. Consider \(p = 2\) (the answer is "no") and \(p = \sqrt{2}\) (the answer is "yes").

Statement (2) by itself is sufficient. If \(\sqrt{p}\) is an integer, then \(p\) is also an integer. This means that \(p^2\) cannot be prime.


Answer: B
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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: 28 Aug 2016
Posts: 1
Re: M19-17 [#permalink]

Show Tags

New post 30 Nov 2016, 20:10
Hi Bunuel,

While evaluating the second statement, I considered value of P = 1 , so Sqrt of 1 = 1 and 1 square is not prime, Using both Statement 1 and 2 eliminates the possiblity of P taking the value of 1.

Can you please explain ?

Regards,
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43808
Re: M19-17 [#permalink]

Show Tags

New post 30 Nov 2016, 22:56
akshararaghu wrote:
Hi Bunuel,

While evaluating the second statement, I considered value of P = 1 , so Sqrt of 1 = 1 and 1 square is not prime, Using both Statement 1 and 2 eliminates the possiblity of P taking the value of 1.

Can you please explain ?

Regards,


It's not clear what you are trying to say there. From (2) it follows that p is an integer. The question asks whether p^2 is prime. If p is an integer, then p^2 cannot be a prime. Thus (2) is sufficient on its own (answer B) and we don not need to consider the statements together.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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

Manager
Manager
User avatar
S
Joined: 18 Aug 2014
Posts: 53
Location: India
GMAT 1: 740 Q49 V40
GPA: 3.11
Reviews Badge
Re: M19-17 [#permalink]

Show Tags

New post 15 Dec 2016, 03:50
even if we consider 1 for the 2nd statement P^2 will not be a prime (1 is not prime). Hence Statement 2 is sufficient
_________________

Today's actions are tomorrow's results

Intern
Intern
avatar
B
Joined: 01 Aug 2016
Posts: 28
Schools: ISB '18
Re: M19-17 [#permalink]

Show Tags

New post 20 Feb 2017, 21:14
Is p^2 a prime?

1) p>1 means p=2,3,4 --- .. consider p=2 then p^2 is 2^2 is 4.. Not a prime.. it'll work for all the integers greater than 1 so 1st statement is sufficient right.

Am i missing something here? Bunuel
Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 43808
Re: M19-17 [#permalink]

Show Tags

New post 20 Feb 2017, 23:13
sai897 wrote:
Is p^2 a prime?

1) p>1 means p=2,3,4 --- .. consider p=2 then p^2 is 2^2 is 4.. Not a prime.. it'll work for all the integers greater than 1 so 1st statement is sufficient right.

Am i missing something here? Bunuel


We are not told that p is an integer.

Solution above clearly gives two cases:
Consider \(p = 2\) (the answer is "no") and \(p = \sqrt{2}\) (the answer is "yes").
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | 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

Manager
Manager
avatar
B
Joined: 09 Nov 2016
Posts: 54
M19-17 [#permalink]

Show Tags

New post 17 Aug 2017, 04:21
1
This post was
BOOKMARKED
1. \(p=2\) --> \(p^2=4\) or\(p=\sqrt{2}\)--> \(p=2\). Not Sufficient.
2. \(\sqrt{p}=Integer\). Hence\(p^2\) has 4 factors for sure (1,\(\sqrt{p}\),p and \(p^2\)). Hence its not prime Sufficient.
Hence Its B. :)


Press Kudos if this post helped you!! :-D
M19-17   [#permalink] 17 Aug 2017, 04:21
Display posts from previous: Sort by

M19-17

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

Moderators: chetan2u, Bunuel



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

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

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®.