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

 It is currently 17 Jun 2019, 22:06

### 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

# If tuvw = 108

Author Message
TAGS:

### Hide Tags

IIMA, IIMC School Moderator
Joined: 04 Sep 2016
Posts: 1359
Location: India
WE: Engineering (Other)

### Show Tags

06 Dec 2017, 06:51
1
9
00:00

Difficulty:

15% (low)

Question Stats:

81% (01:49) correct 19% (02:14) wrong based on 83 sessions

### HideShow timer Statistics

If tuvw = 108, and t, u, v, and w are all positive integers such that t > u > v > w, what is the greatest possible value for t - w?

A. 1
B. 16
C. 17
D. 18
E. 19

_________________
It's the journey that brings us happiness not the destination.

Feeling stressed, you are not alone!!
Retired Moderator
Joined: 13 Apr 2015
Posts: 1679
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
Re: If tuvw = 108  [#permalink]

### Show Tags

06 Dec 2017, 08:05
3
1
Factorize 108 = 1 * 2^2 * 3^3

t > u > v > w --> w = 1; v = 2; u = 3; t = 2 * 3^2 = 18

t - w = 18 - 1 = 17

Senior SC Moderator
Joined: 22 May 2016
Posts: 2899

### Show Tags

06 Dec 2017, 09:36
If tuvw = 108, and t, u, v, and w are all positive integers such that t > u > v > w, what is the greatest possible value for t - w?

A. 1
B. 16
C. 17
D. 18
E. 19

List the prime factors of 108: 2*2*3*3*3

To maximize the difference between the greatest number and the smallest number, make $$t$$ as big as possible by making $$w$$, $$v$$ and $$u$$ as small as possible -- remembering t > u > v > w

Let $$w$$ = 1
Let $$v$$ = 2
Let $$u$$ = 3

From prime factor list, the remaining numbers are 2, 3, and 3
Let $$t$$ = (2 * 3 * 3) = 18
(t - w) = (18 - 1) = 17

_________________
SC Butler has resumed!
Get two SC questions to practice, whose links you can find by date, here.

Tell me, what is it you plan to do with your one wild and precious life? -- Mary Oliver
Non-Human User
Joined: 09 Sep 2013
Posts: 11376
Re: If tuvw = 108  [#permalink]

### Show Tags

26 Feb 2019, 22:31
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: If tuvw = 108   [#permalink] 26 Feb 2019, 22:31
Display posts from previous: Sort by