GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 19 Jan 2020, 00:25

### 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

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

# 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

Math Expert
Joined: 02 Sep 2009
Posts: 60480
A function * is defined for all even positive integers n as the number  [#permalink]

### Show Tags

05 Dec 2019, 01:33
00:00

Difficulty:

45% (medium)

Question Stats:

52% (01:50) correct 48% (01:31) wrong based on 42 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

Are You Up For the Challenge: 700 Level Questions

_________________
Senior Manager
Joined: 16 Feb 2015
Posts: 252
Location: United States
Concentration: Finance, Operations
Re: A function * is defined for all even positive integers n as the number  [#permalink]

### Show Tags

05 Dec 2019, 02:24
1
Bunuel 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

Are You Up For the Challenge: 700 Level Questions

Explanation:

*n = Number of even factors of n other than n
= *48
Factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Number of even factors other than 48 = 7 (2,4,6,8,12,16,24)

IMO-D

Please give kudos, if you find my explanation Good Enough
Intern
Joined: 07 May 2019
Posts: 28
Re: A function * is defined for all even positive integers n as the number  [#permalink]

### Show Tags

05 Dec 2019, 03:01
1
Bunuel 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

Are You Up For the Challenge: 700 Level Questions

For any number N which can be written prime factorized and written like this = $$2^a * P^b * Q^c *....$$ , (where 2, P, Q...are all prime numbers)

The total even factors including $$N = a * (b+1) * (c+1)....$$

In this case $$N = 48 = 2^4 * 3^1$$

Thus, total even factors including 48 will be $$4* (1+1) = 8$$

However, we need even factors excluding the number, thus the answer will be $$8 - 1 = 7$$.

Option D
Manager
Joined: 10 Dec 2017
Posts: 174
Location: India
Re: A function * is defined for all even positive integers n as the number  [#permalink]

### Show Tags

08 Dec 2019, 08:03
Bunuel 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

Are You Up For the Challenge: 700 Level Questions

$$48=2^4*3^1$$
Total factors=(4+1)*(1+1)=10
Even factors excluding 48 will be Total- [1,3,48]
10-3
=7
D:)
Re: A function * is defined for all even positive integers n as the number   [#permalink] 08 Dec 2019, 08:03
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

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne