Find all School-related info fast with the new School-Specific MBA Forum

It is currently 30 Jun 2015, 21:12

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

x and k are positive integers and x= 5*10^27- 27*10^(5k). If

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
GMAT Instructor
avatar
Joined: 04 Jul 2006
Posts: 1266
Location: Madrid
Followers: 24

Kudos [?]: 167 [0], given: 0

x and k are positive integers and x= 5*10^27- 27*10^(5k). If [#permalink] New post 22 Sep 2006, 09:31
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
x and k are positive integers and x= 5*10^27- 27*10^(5k). If s and S are repsectively the smallest and largest possible sums of the digits of the decimal notation of x, then S-s=

(A) 124 (B) 134 (C) 144 (D) 154 (E) none of these
Director
Director
User avatar
Joined: 06 May 2006
Posts: 780
Followers: 3

Kudos [?]: 17 [0], given: 0

 [#permalink] New post 22 Sep 2006, 13:12
Is it E? :shock: May be wrong, though.

For the greatest value of x (and also greatest value of sum of digits), k=1.
x= 5*10^27- 27*10^5 = (10^5) *(5*10^22 - 27)
The decimal notation should be 4(twenty 9s)7300000.
Hence sum of digits is 4 + 180 + 10 = 194

Similarly, for the smallest positive value of x (not looking for negative; assuming that we are looking for the smallest positive value, else it would be infinity)
k=5
x= 5*10^27- 27*10^25 = (10^25) *(500 - 27) = 473(twenty five 0s)
Hence sum of digits is 14.

Hence the difference S-s=180 => Answer E.
  [#permalink] 22 Sep 2006, 13:12
    Similar topics Author Replies Last post
Similar
Topics:
7 Experts publish their posts in the topic If x and y are positive integers and docabuzar 7 21 Feb 2012, 13:45
19 Experts publish their posts in the topic If k and x are positive integers and x is divisible by 6 Burnkeal 17 29 Oct 2010, 16:10
1 Experts publish their posts in the topic If x is a positive integer sagarsabnis 6 30 Dec 2009, 07:05
4 Experts publish their posts in the topic If x, y and k are positive numbers such that gmattokyo 5 01 Nov 2009, 20:01
6 Experts publish their posts in the topic If x, y, and k are positive numbers such that eresh 31 15 Oct 2009, 15:08
Display posts from previous: Sort by

x and k are positive integers and x= 5*10^27- 27*10^(5k). If

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

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®.