It is currently 19 Oct 2017, 18:53

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

For any positive integer a, let *a* denote the smallest prime factor

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

Hide Tags

Manager
Manager
User avatar
Joined: 14 May 2007
Posts: 184

Kudos [?]: 90 [0], given: 12

Location: India
For any positive integer a, let *a* denote the smallest prime factor [#permalink]

Show Tags

New post 03 Aug 2017, 06:58
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

80% (00:48) correct 20% (02:19) wrong based on 40 sessions

HideShow timer Statistics

Hello Guys,

Help me solve the following question:

For any positive integer a, let *a* denote the smallest prime factor of a. Which of the following is equal to *35* ?

a) *10*
b) *15*
c) *45*
d) *55*
e) *75*

I didn't get a hang of this question.

Thank you,

GR
[Reveal] Spoiler: OA

Kudos [?]: 90 [0], given: 12

Manager
Manager
avatar
B
Joined: 30 Mar 2017
Posts: 69

Kudos [?]: 18 [0], given: 11

Re: For any positive integer a, let *a* denote the smallest prime factor [#permalink]

Show Tags

New post 03 Aug 2017, 07:02
The answer is D 55
*35* will denote the smallest prime factor of 35, which happens to be 5.
Similarly*55* will denote the smallest prime factor of 55, which is equal to 5

Sent from my Moto G (5) Plus using GMAT Club Forum mobile app

Kudos [?]: 18 [0], given: 11

2 KUDOS received
BSchool Forum Moderator
User avatar
P
Joined: 26 Feb 2016
Posts: 1454

Kudos [?]: 594 [2], given: 16

Location: India
Concentration: General Management, Leadership
WE: Sales (Retail)
Premium Member CAT Tests
Re: For any positive integer a, let *a* denote the smallest prime factor [#permalink]

Show Tags

New post 03 Aug 2017, 10:26
2
This post received
KUDOS
Hi greatchap,
As *a* denotes the smallest prime factor of a.
In order to find out the value of *35*, we need to prime factorize 35 which is 5*7
*35* is nothing but 5 because the smaller prime factor of 35 is 5.

The answer options when prime factorized :
a) 10 = 2*5
b) 15 = 3*5
c) 45 = 3^2*5
d) 55 = 5*11
e) 75 = 3*5^2

Of these options Option D(55) has the same smallest prime factor as *35*

Hope that helps!
_________________

Stay hungry, Stay foolish

2017-2018 MBA Deadlines

Class of 2020: Rotman Thread | Schulich Thread
Class of 2019: Sauder Thread

Kudos [?]: 594 [2], given: 16

Expert Post
Target Test Prep Representative
User avatar
S
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 1545

Kudos [?]: 836 [0], given: 5

Re: For any positive integer a, let *a* denote the smallest prime factor [#permalink]

Show Tags

New post 09 Aug 2017, 12:46
greatchap wrote:
Hello Guys,

Help me solve the following question:

For any positive integer a, let *a* denote the smallest prime factor of a. Which of the following is equal to *35* ?

a) *10*
b) *15*
c) *45*
d) *55*
e) *75*


Since 35 = 5 x 7, the smallest prime factor of 35 is 5 and *35* = 5.

Looking at our answer choice, the only choice whose smallest prime factor is 5 is 55 because 5 x 11 = 55.

Answer: D
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 836 [0], given: 5

Re: For any positive integer a, let *a* denote the smallest prime factor   [#permalink] 09 Aug 2017, 12:46
Display posts from previous: Sort by

For any positive integer a, let *a* denote the smallest prime factor

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


cron

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®.