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

It is currently 04 May 2016, 12:45
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 n is a multiple of 5, n=p^2q, where p and q are prime num

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

Hide Tags

2 KUDOS received
Manager
Manager
User avatar
Joined: 13 Mar 2009
Posts: 192
Followers: 4

Kudos [?]: 233 [2] , given: 60

If n is a multiple of 5, n=p^2q, where p and q are prime num [#permalink]

Show Tags

New post 28 Sep 2009, 00:34
2
This post received
KUDOS
12
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

57% (02:04) correct 43% (01:18) wrong based on 310 sessions

HideShow timer Statictics

If n is a multiple of 5, n=p^2q, where p and q are prime numbers. Which of the following must be a multiple of 25?

A. p^2
B. q^2
C. pq
D. p^2q^2
E. p^3q

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-is-n-is-multiple-of-5-and-n-p-2-q-where-p-and-q-are-prim-92383.html
[Reveal] Spoiler: OA

Attachments

PS02.jpg
PS02.jpg [ 47.81 KiB | Viewed 4780 times ]


Last edited by Bunuel on 25 Aug 2014, 04:33, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
Manager
Manager
avatar
Joined: 11 Sep 2009
Posts: 129
Followers: 5

Kudos [?]: 277 [0], given: 6

Re: If n is a multiple of 5, n=p^2q, where p and q are prime num [#permalink]

Show Tags

New post 28 Sep 2009, 00:50
1
This post was
BOOKMARKED
The answer is D: p^2*q^2.

You are given that n = p^2 * q, which is a multiple of 5. Therefore p^2 * q is a multiple of 5. Since 5 is a prime number, p OR q must be a multiple of 5. Therefore, in order to be a multiple of 25, you must have a MINIMUM of p^2 * q^2 in the answer, since you don't know whether p or q is the multiple of 5. The only answer which satisfies this condition is D.
VP
VP
avatar
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1353
Followers: 16

Kudos [?]: 201 [0], given: 10

Re: If n is a multiple of 5, n=p^2q, where p and q are prime num [#permalink]

Show Tags

New post 02 May 2011, 20:32
n = 5k = 20,45 etc.

20 = 2^2 * 5; 45 = 3^2 * 5

hence min solution possible is p^2 * q^2.
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

Manager
Manager
avatar
Joined: 09 Aug 2010
Posts: 107
Followers: 1

Kudos [?]: 34 [0], given: 7

Re: If n is a multiple of 5, n=p^2q, where p and q are prime num [#permalink]

Show Tags

New post 02 May 2011, 22:29
It is given that
\(n = p^2 (q)\)
\(n = 5(...)\)

We do not know whether p = 5 OR q = 5. There are 2 possibilities.

\(n = 5^2 (q)\)
OR
\(n = p^2 (5)\)

Since, we do not know whether p or q is 5 then. (A) and (B) could be eliminated.

(D) on the other hand raises both p and q to a power of 2. This guarantees 5 to be raised to 2 which is equivalent to 25.

Hence, D.
GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 09 Sep 2013
Posts: 9283
Followers: 455

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

Premium Member
Re: If n is a multiple of 5, n=p^2q, where p and q are prime num [#permalink]

Show Tags

New post 24 Aug 2014, 16:54
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

Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 32622
Followers: 5653

Kudos [?]: 68641 [0], given: 9816

Re: If n is a multiple of 5, n=p^2q, where p and q are prime num [#permalink]

Show Tags

New post 25 Aug 2014, 04:34
Expert's post
3
This post was
BOOKMARKED
If \(n\) is multiple of \(5\), and \(n = p^2q\) where \(p\) and \(q\) are prime, which of the following must be a multiple of \(25\)?

A \(p^2\)
B. \(q^2\)
C. \(pq\)
D. \(p^2q^2\)
E. \(p^3q\)

\(n=5k\) and \(n=p^2p\), (\(p\) and \(q\) are primes).
Q: \(25m=?\)

Well obviously either \(p\) or \(q\) is \(5\). As we are asked to determine which choice MUST be multiple of \(25\), right answer choice must have BOTH, \(p\) and \(q\) in power of 2 or higher to guarantee the divisibility by \(25\). Only D offers this.

Answer: D.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-is-n-is-multiple-of-5-and-n-p-2-q-where-p-and-q-are-prim-92383.html
_________________

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

Director
Director
User avatar
Status: Tutor - BrushMyQuant
Joined: 05 Apr 2011
Posts: 552
Location: India
Concentration: Finance, Marketing
Schools: XLRI (A)
GMAT 1: 570 Q49 V19
GMAT 2: 700 Q51 V31
GPA: 3
WE: Information Technology (Computer Software)
Followers: 84

Kudos [?]: 451 [0], given: 52

Re: If n is a multiple of 5, n=p^2q, where p and q are prime num [#permalink]

Show Tags

New post 14 Aug 2015, 14:31
Please tag Divisibility/factors/multiples
DenisSh wrote:
If n is a multiple of 5, n=p^2q, where p and q are prime numbers. Which of the following must be a multiple of 25?

A. p^2
B. q^2
C. pq
D. p^2q^2
E. p^3q

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-is-n-is-multiple-of-5-and-n-p-2-q-where-p-and-q-are-prim-92383.html

_________________

Ankit

Check my Tutoring Site -> Brush My Quant

GMAT Quant Tutor
How to start GMAT preparations?
How to Improve Quant Score?
Gmatclub Topic Tags
Check out my GMAT debrief

How to Solve :
Statistics || Reflection of a line || Remainder Problems || Inequalities

Re: If n is a multiple of 5, n=p^2q, where p and q are prime num   [#permalink] 14 Aug 2015, 14:31
    Similar topics Author Replies Last post
Similar
Topics:
4 Experts publish their posts in the topic If a number p is prime, and 2p+1 = q, where q is also prime, then the sajib2126 5 26 Feb 2015, 11:15
9 Experts publish their posts in the topic If n = 2pq, where p and q are distinct prime numbers greater megafan 6 08 Mar 2013, 15:54
if n is a multiple of 5 and n=p^2q, where p and q are prime WishMasterUA 2 18 Jun 2011, 06:52
69 Experts publish their posts in the topic If is n is multiple of 5, and n=p^2*q where p and q are prim balboa 17 05 Feb 2010, 12:51
12 Experts publish their posts in the topic If n is a multiple of 5, n=p^2q, where p and q are prime num joyseychow 10 13 Aug 2009, 21:06
Display posts from previous: Sort by

If n is a multiple of 5, n=p^2q, where p and q are prime num

  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®.