It is currently 23 Nov 2017, 10:06

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

Events & Promotions in June
Open Detailed Calendar

M is the sum of the reciprocals of the consecutive integers

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

Hide Tags

Intern
Intern
avatar
Joined: 12 May 2012
Posts: 25

Kudos [?]: 201 [0], given: 19

Location: United States
Concentration: Technology, Human Resources
M is the sum of the reciprocals of the consecutive integers [#permalink]

Show Tags

New post 07 Jun 2012, 01:14
8
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

75% (00:53) correct 25% (01:14) wrong based on 170 sessions

HideShow timer Statistics

M is the sum of the reciprocals of the consecutive integers from 201 to 300, inclusive. Which of the following is true?

A. 1/3 < M < 1/2
B. 1/5 < M < 1/3
C. 1/7 < M < 1/5
D. 1/9 < M < 1/7
E. 1/12 < M < 1/9

OPEN DISCUSSION OF THIS QUESTION IS HERE: m-is-the-sum-of-the-reciprocals-of-the-consecutive-integers-143703.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 08 Jul 2013, 07:01, edited 2 times in total.
Edited the question and added the OA

Kudos [?]: 201 [0], given: 19

7 KUDOS received
VP
VP
User avatar
S
Status: Top MBA Admissions Consultant
Joined: 24 Jul 2011
Posts: 1354

Kudos [?]: 651 [7], given: 20

GMAT 1: 780 Q51 V48
GRE 1: 1540 Q800 V740
Re: maths problem [#permalink]

Show Tags

New post 07 Jun 2012, 02:39
7
This post received
KUDOS
6
This post was
BOOKMARKED
M = 1/201 + 1/202 + 1/203 + ...... + 1/300

If we replace the first 99 terms by 1/300, then we get a sum = 100/300 = 1/3. Since the actual terms are larger than 1/300, the sum is larger than 1/3.

If we replace the all the 100 terms by 1/200, we get a sum = 100/200 = 1/2. Since the actual terms are smaller than 1/200, the sum is less than 1/2.

Therefore 1/3 < M < 1/2

Choice A
_________________

GyanOne | Top MBA Rankings and MBA Admissions Blog

Top MBA Admissions Consulting | Top MiM Admissions Consulting

Premium MBA Essay Review|Best MBA Interview Preparation|Exclusive GMAT coaching

Get a FREE Detailed MBA Profile Evaluation | Call us now +91 98998 31738

Kudos [?]: 651 [7], given: 20

Senior Manager
Senior Manager
User avatar
G
Joined: 27 May 2012
Posts: 421

Kudos [?]: 88 [0], given: 485

Premium Member
Re: M is the sum of the reciprocals of the consecutive integers [#permalink]

Show Tags

New post 09 Jul 2012, 04:26
Is this is only way to do this?
_________________

- Stne

Kudos [?]: 88 [0], given: 485

Re: M is the sum of the reciprocals of the consecutive integers   [#permalink] 09 Jul 2012, 04:26
Display posts from previous: Sort by

M is the sum of the reciprocals of the consecutive integers

  post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.