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

It is currently 21 Sep 2018, 01:11

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

Can the positiveve integer x be expressed as the product of

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

Hide Tags

Director
Director
avatar
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 505
Location: United Kingdom
Concentration: International Business, Strategy
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
Can the positiveve integer x be expressed as the product of  [#permalink]

Show Tags

New post Updated on: 27 Mar 2014, 03:51
1
2
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

70% (00:47) correct 30% (00:52) wrong based on 76 sessions

HideShow timer Statistics

Can the positive integer x be expressed as the product of two integers, each of which is greater than 1?

(1) x is a multiple of 2
(2) x is a multiple of 6

Guys - pretty straight question by the looks of it and as far as I am concerned the answer should be E. But this is not the case. below is my solution. Can someone please help?

Statement 1 : x is a multiple of 2

X = 2, 2 * 1. No. Both integers are not greater than 1
X = 4, 2 * 2 yes. Both integers are greater than 1.

2 different answers ---- therefore this statement is insufficient.

Statement 2: x is a multiple of 6
x = 6, 1* 6. No. Both integers are not greater than 1.
x = 12, 2*6 Yes. Both integers are greater than 1.

2 different answers ---- therefore this statement is insufficient.

Combining the 2 statements

x is a multiple of 2 and 6

x = 6 = 1*6 or 2 * 3
x= 12 = 1* 12 or 2*6
Again two different solutions and therefore the answer should be E.

Its from Edvento, the question bank from e-gmat.

_________________

Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730


Originally posted by enigma123 on 27 Mar 2014, 03:34.
Last edited by Bunuel on 27 Mar 2014, 03:51, edited 1 time in total.
Renamed the topic and edited the question.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49276
Re: Can the positiveve integer x be expressed as the product of  [#permalink]

Show Tags

New post 27 Mar 2014, 03:59
enigma123 wrote:
Can the positive integer x be expressed as the product of two integers, each of which is greater than 1?

(1) x is a multiple of 2
(2) x is a multiple of 6

Guys - pretty straight question by the looks of it and as far as I am concerned the answer should be E. But this is not the case. below is my solution. Can someone please help?

Statement 1 : x is a multiple of 2

X = 2, 2 * 1. No. Both integers are not greater than 1
X = 4, 2 * 2 yes. Both integers are greater than 1.

2 different answers ---- therefore this statement is insufficient.

Statement 2: x is a multiple of 6
x = 6, 1* 6. No. Both integers are not greater than 1.
x = 12, 2*6 Yes. Both integers are greater than 1.

2 different answers ---- therefore this statement is insufficient.

Combining the 2 statements

x is a multiple of 2 and 6

x = 6 = 1*6 or 2 * 3
x= 12 = 1* 12 or 2*6
Again two different solutions and therefore the answer should be E.

Its from Edvento, the question bank from e-gmat.



Can the positive integer x be expressed as the product of two integers, each of which is greater than 1?

If the positive integer x cannot be expressed as the product of two integers, each of which is greater than 1, then it simply means that p is a prime number. So, basically question asks whether p is a prime number.

(1) x is a multiple of 2. If x=2, then we CANNOT express x as the product of two integers, each of which is greater than 1 but if x is 6, then we CAN as the product of two integers, each of which is greater than 1: 6=2*3. Not sufficient.

OR: we know that the question basically asks whether x is a prime. x from this statement can be a prime (2) as well as non-prime (4). Not sufficient.

(2) x is a multiple of 6. x can be 6, 12, 18, 24, ... x has at least two primes 2 and 3. In any case x CAN be expressed as the product of two integers, each of which is greater than 1. For example, if 6=2*3, 12=3*4, 18=2*9, 24=2*12, ... Sufficient.

OR: we know that the question basically asks whether x is a prime. x from this statement cannot be a prime. Sufficient.

Answer: B.

Similar questions to practice:
if-m-is-a-positive-integer-greater-than-1-can-m-be-expressed-129063.html
can-the-positive-integer-p-be-expressed-as-the-product-of-tw-166085.html
can-the-positive-integer-k-be-expressed-as-the-product-of-127401.html

P.S. Please do not reword or shorten the questions. Thank you.


_________________

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

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8107
Premium Member
Re: Can the positiveve integer x be expressed as the product of  [#permalink]

Show Tags

New post 18 Jul 2018, 17:48
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: Can the positiveve integer x be expressed as the product of &nbs [#permalink] 18 Jul 2018, 17:48
Display posts from previous: Sort by

Can the positiveve integer x be expressed as the product of

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

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| 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®.