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

 It is currently 13 Oct 2019, 16:04

### 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

# The function f is defined for all positive, three-digit integers as

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58335
The function f is defined for all positive, three-digit integers as  [#permalink]

### Show Tags

25 Apr 2017, 02:14
1
15
00:00

Difficulty:

75% (hard)

Question Stats:

49% (02:01) correct 51% (02:12) wrong based on 185 sessions

### HideShow timer Statistics

The function f is defined for all positive, three-digit integers as $$f(x)=(2^a)(3^b)(5^c)$$, where a, b, and c are the hundreds, tens, and units digits, respectively, of x. What is m−n?

(1) $$f(m)=8f(n)$$

(2) $$n=111$$

_________________
Current Student
Joined: 22 Jun 2016
Posts: 231
Re: The function f is defined for all positive, three-digit integers as  [#permalink]

### Show Tags

25 Apr 2017, 04:13
5
2
S1. f(m)=8f(n)

f(m) = 2^3 f(n)

f(x) = 2^a * 3^b * 5^c

so, we now know that only a is different in f(m) and f(n), b and c are same.
we also know that a in f(m) is 3 greater than a in f(n).

a is the hundreds digit of the number. So, if m=401, n =101 or m=996, n=696

m-n in all case would be 300.

Sufficient!

S2. No mention of m.

Insufficient!

Hence, answer will be A.
_________________
P.S. Don't forget to give Kudos
##### General Discussion
Intern
Joined: 07 Jul 2018
Posts: 8
WE: Medicine and Health (Military & Defense)
Re: The function f is defined for all positive, three-digit integers as  [#permalink]

### Show Tags

21 Nov 2018, 13:45
The question doesn't mention that m and n are three digit numbers?
Is it implied?
If they are not three digit numbers then A cannot be the answer.
Re: The function f is defined for all positive, three-digit integers as   [#permalink] 21 Nov 2018, 13:45
Display posts from previous: Sort by

# The function f is defined for all positive, three-digit integers as

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

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