BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
GMATBootcamp Starts Sep 21
Chris Peckover, Target Test Prep GMAT expert
LIVE ONLINE BOOTCAMP

Live Online Bootcamp Class with Top GMAT Expert Chris Peckover

Sep 21 to Oct 9, 2026

Schedule
Mon to Fri · 7:00 to 10:00 PM ET
Included
Live classes + 6 months of TTP OnDemand
  • Boost your GMAT score in less than one month in a live online class
  • 6 months access to TTP OnDemand video courses included
View bootcamp & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

Number Properties - multiples of 5 (gmat prep)

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 42
Joined: Tue Jun 17, 2008 1:18 pm
Thanked: 2 times
by kshin78 » Sat Aug 09, 2008 1:13 pm
If n is a multiple of 5 and n = p^2q where p & 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

Please provide an explanation. Thanks in advance!!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Legendary Member
Posts: 1153
Joined: Wed Jun 20, 2007 6:21 amFollowed by: 2 members
Thanked: 146 times

by parallel_chase » Sat Aug 09, 2008 2:13 pm
n=p^2q

we know that n is a multiple of 5.
p and q are different prime numbers and one of them has to be 5, then only we can be assured that n is a multiple of 5.

25=5*5

Therefore, p^2q^2 will ensure that we have two 5's i.e. multiple of 25, irrespective of whether p is 5 or q is 5.

Hence D is the answer.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 25
Joined: Sat Aug 04, 2007 5:17 am
Location: Dallas

by drizzle » Sun Aug 10, 2008 7:16 am
parallel_chase wrote:n=p^2q

we know that n is a multiple of 5.
p and q are different prime numbers and one of them has to be 5, then only we can be assured that n is a multiple of 5.

Hence D is the answer.
here p should be 5 right...or else n can't be mulitple of 5...hope i'm not missing anything...
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 1153
Joined: Wed Jun 20, 2007 6:21 amFollowed by: 2 members
Thanked: 146 times

by parallel_chase » Sun Aug 10, 2008 8:40 am
drizzle wrote:
parallel_chase wrote:n=p^2q

we know that n is a multiple of 5.
p and q are different prime numbers and one of them has to be 5, then only we can be assured that n is a multiple of 5.

Hence D is the answer.
here p should be 5 right...or else n can't be mulitple of 5...hope i'm not missing anything...
q can also be 5. If q is 5 n would still be a multiple of 5
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 661
Joined: Tue Jul 08, 2008 12:58 pm
Location: France
Thanked: 48 times

by pepeprepa » Sun Aug 10, 2008 8:41 am
Agree with D)
p^2q^2 is p^2 * q^2
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 42
Joined: Tue Jun 17, 2008 1:18 pm
Thanked: 2 times

by kshin78 » Sun Aug 10, 2008 12:27 pm
parallel_chase wrote:n=p^2q

we know that n is a multiple of 5.
p and q are different prime numbers and one of them has to be 5, then only we can be assured that n is a multiple of 5.

25=5*5

Therefore, p^2q^2 will ensure that we have two 5's i.e. multiple of 25, irrespective of whether p is 5 or q is 5.

Hence D is the answer.
Thanks! I should have realized p or q had to be 5....
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 1
Joined: Wed Jan 07, 2009 8:06 am

by ritubahl » Tue Apr 07, 2009 10:08 am
I am sorry I still don't get it - how can n be a multiple of 5 if p is not a multiple of 5?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 107
Joined: Wed Mar 04, 2009 4:39 am
Location: Vancouver
Thanked: 9 times
GMAT Score:750

by pakaskwa » Tue Apr 07, 2009 12:56 pm
The original question was not clear:
n=p^2q

Is it n=(p^2)*q, or n=p^(2q)?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 1169
Joined: Sun Jul 06, 2008 2:34 amFollowed by: 1 member
Thanked: 25 times

by aj5105 » Mon May 04, 2009 2:09 am
n=(p^2)*q
pakaskwa wrote:The original question was not clear:
n=p^2q

Is it n=(p^2)*q, or n=p^(2q)?
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1