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

It is currently 27 Nov 2014, 13:59

Happy Thanksgiving:

Free Access to GMAT Club Tests until 11 AM PST on Fri 11/28


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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If m is a positive integer greater than 1 can m be expressed

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Manager
Manager
avatar
Joined: 12 Oct 2011
Posts: 133
GMAT 1: 700 Q48 V37
GMAT 2: 720 Q48 V40
Followers: 4

Kudos [?]: 68 [0], given: 23

If m is a positive integer greater than 1 can m be expressed [#permalink] New post 14 Mar 2012, 04:36
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

66% (01:59) correct 34% (00:42) wrong based on 59 sessions
If m is a positive integer greater than 1, can m be expressed as the product of two integers, each of which is greater than 1?

(1) m is the square of an integer
(2) m is the cube of an integer
[Reveal] Spoiler: OA
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 24141
Followers: 3740

Kudos [?]: 31389 [0], given: 3372

Re: If m is a positive integer greater than 1 can m be expressed [#permalink] New post 14 Mar 2012, 04:41
Expert's post
If m is a positive integer greater than 1, can m be expressed as the product of two integers, each of which is greater than 1?

Question basically asks whether m is a prime number: if it is, then it cannot be expressed as the product of two integers, each of which is greater than 1 (definition of a prime number).

(1) m is the square of an integer --> no prime is a perfect square, so m is not a prime and can be expressed as the product of two integers, each of which is greater than 1. Sufficient.

(2) m is the cube of an integer --> no prime is a perfect cube, so m is not a prime and can be expressed as the product of two integers, each of which is greater than 1. Sufficient.

Answer : D.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Take a Survey about GMAT Prep - Win Prizes!

Intern
Intern
avatar
Joined: 25 Aug 2010
Posts: 17
Followers: 0

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

Re: If m is a positive integer greater than 1 can m be expressed [#permalink] New post 18 Mar 2012, 04:34
Hi Bunuel,

how is stmnt 1 sufficient?

question stem : If m is a positive integer greater than 1, can m be expressed as the product of two integers, each of which is greater than 1?

stmnt 1: m is the square of an integer

if we take m as 4 which is a positive integer >1 , 4 can be expressed as :

-2 * -2 = 4 (or)
2 * 2 = 4

hence M cannot be expressed as product of two integers , each of which is greater than 1
_________________

regards
eshwar

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 24141
Followers: 3740

Kudos [?]: 31389 [0], given: 3372

Re: If m is a positive integer greater than 1 can m be expressed [#permalink] New post 18 Mar 2012, 05:08
Expert's post
pappueshwar wrote:
Hi Bunuel,

how is stmnt 1 sufficient?

question stem : If m is a positive integer greater than 1, can m be expressed as the product of two integers, each of which is greater than 1?

stmnt 1: m is the square of an integer

if we take m as 4 which is a positive integer >1 , 4 can be expressed as :

-2 * -2 = 4 (or)
2 * 2 = 4

hence M cannot be expressed as product of two integers , each of which is greater than 1


In your own example you are expressing 4 as the product of 2 and 2, so as the product of two integers each of which is greater than 1 (notice that we are not told that the factors must be distinct).

Hope it's clear.
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis NEW!!!; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) NEW!!!; 12. Tricky questions from previous years. NEW!!!;

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?
25 extra-hard Quant Tests

Take a Survey about GMAT Prep - Win Prizes!

Re: If m is a positive integer greater than 1 can m be expressed   [#permalink] 18 Mar 2012, 05:08
    Similar topics Author Replies Last post
Similar
Topics:
5 Experts publish their posts in the topic If M is the product of all positive integers greater than 59 goodyear2013 3 29 Jun 2014, 01:44
10 Experts publish their posts in the topic If m and n are consecutive positive integers, is m greater t Bunuel 10 12 Feb 2014, 01:04
8 Experts publish their posts in the topic For any integer m greater than 1, $m denotes the product of megafan 4 04 Mar 2013, 10:31
1 Experts publish their posts in the topic Is the value of expression k – m + 1 greater than the elegan 4 25 Oct 2012, 20:34
3 Experts publish their posts in the topic If m and n are consecutive positive integers, is m greater fxsunny 3 19 Jan 2012, 10:09
Display posts from previous: Sort by

If m is a positive integer greater than 1 can m be expressed

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| 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®.