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

It is currently 17 Jan 2019, 15:53

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 in January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
  • The winning strategy for a high GRE score

     January 17, 2019

     January 17, 2019

     08:00 AM PST

     09:00 AM PST

    Learn the winning strategy for a high GRE score — what do people who reach a high score do differently? We're going to share insights, tips and strategies from data we've collected from over 50,000 students who used examPAL.
  • Free GMAT Strategy Webinar

     January 19, 2019

     January 19, 2019

     07:00 AM PST

     09:00 AM PST

    Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.

A function * is defined for all even positive integers n as the number

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

Hide Tags

 
Senior Manager
Senior Manager
User avatar
V
Joined: 02 Jan 2017
Posts: 307
Location: Canada
Reviews Badge CAT Tests
A function * is defined for all even positive integers n as the number  [#permalink]

Show Tags

New post 04 Mar 2017, 07:11
2
4
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

53% (01:19) correct 47% (01:05) wrong based on 156 sessions

HideShow timer Statistics

A function * is defined for all even positive integers n as the number of even factors of n other than n itself. What is the value of *(48) ?

(A) 3

(B) 5

(C) 6

(D) 7

(E) 8
Current Student
avatar
S
Joined: 23 Jul 2015
Posts: 155
GMAT ToolKit User
A function * is defined for all even positive integers n as the number  [#permalink]

Show Tags

New post 04 Mar 2017, 08:49
3
2 ways to solve this problem.

1. manually count all even factors except 48

2. use prime factorization =>
48 = 2^4 * 3^1
For an even factor, power of prime factor 2 must be at least 1 and power of prime factor 3 can be 0 or 1

thus, prime fact 2 can take 1,2,3 and 4 (4 choices) as powers and 3 can take 0 or 1 (2 choices)

total even factors = 4 * 2 =8, since n is not allowed as a factor
answer is 8 - 1 = 7
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4330
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member CAT Tests
Re: A function * is defined for all even positive integers n as the number  [#permalink]

Show Tags

New post 04 Mar 2017, 10:04
1
vikasp99 wrote:
A function * is defined for all even positive integers n as the number of even factors of n other than n itself. What is the value of *(48) ?

(A) 3

(B) 5

(C) 6

(D) 7

(E) 8


Use factorization -

The factors of 48 are:1, 2, 3, 4, 6, 8, 12, 16, 24, 48

So, except 48, there are 7 factors, answer must be (D) 7
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Manager
Manager
avatar
B
Joined: 10 Sep 2014
Posts: 84
Location: Bangladesh
GPA: 3.5
WE: Project Management (Manufacturing)
Re: A function * is defined for all even positive integers n as the number  [#permalink]

Show Tags

New post 30 Sep 2018, 05:33
Bunuel could you please show a detailed method using factorization?
Intern
Intern
avatar
B
Joined: 19 Apr 2017
Posts: 34
Location: India
WE: Management Consulting (Consulting)
A function * is defined for all even positive integers n as the number  [#permalink]

Show Tags

New post 04 Oct 2018, 20:33
The total 10 factors are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48. But we need only even factors (leaving out 1 and 3), and don't need n itself (leaving out 48), which gives us a total of (10 - 3) = 7 factors.
Is my understanding correct?
Manager
Manager
User avatar
S
Joined: 21 Jun 2017
Posts: 202
Concentration: Finance, Economics
WE: Corporate Finance (Commercial Banking)
CAT Tests
Re: A function * is defined for all even positive integers n as the number  [#permalink]

Show Tags

New post 11 Nov 2018, 23:33
Total - odd - Number itself
10 - (3^0 and 1) - 1(Number is 48 or only one factor out of 48)
= 10-2-1 = 7
_________________

Even if it takes me 30 attempts, I am determined enough to score 740+ in my 31st attempt. This is it, this is what I have been waiting for, now is the time to get up and fight, for my life is 100% my responsibility.

Dil ye Ziddi hai !!!

GMAT Club Bot
Re: A function * is defined for all even positive integers n as the number &nbs [#permalink] 11 Nov 2018, 23:33
Display posts from previous: Sort by

A function * is defined for all even positive integers n as the number

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


Copyright

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®.