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

It is currently 18 Sep 2014, 15:46

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

[1/2+1/100] + [1/2+2/100] + [1/2+3/100] + ...... + [1/2+103/

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
1 KUDOS received
Intern
Intern
avatar
Joined: 09 Sep 2012
Posts: 35
Location: United States
Followers: 2

Kudos [?]: 6 [1] , given: 33

[1/2+1/100] + [1/2+2/100] + [1/2+3/100] + ...... + [1/2+103/ [#permalink] New post 11 Oct 2012, 19:50
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 100% (01:00) wrong based on 5 sessions
Guys plz help me with the question below

[1/2+1/100] + [1/2+2/100] + [1/2+3/100] + ...... + [1/2+103/100]

a)52
b)53
c)54
d)55
e)none of these

Thanks
[Reveal] Spoiler: OA
Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4772
Location: Pune, India
Followers: 1116

Kudos [?]: 5055 [0], given: 164

Re: [1/2+1/100] + [1/2+2/100] + [1/2+3/100] + ...... + [1/2+103/ [#permalink] New post 11 Oct 2012, 20:41
Expert's post
154238 wrote:
Guys plz help me with the question below

[1/2+1/100] + [1/2+2/100] + [1/2+3/100] + ...... + [1/2+103/100]

a)52
b)53
c)54
d)55
e)none of these

Thanks


There is something wrong in the answer choices or the question (or the answer is (E)).

Ignore the 1/2s right now.
You have 1/100 and you have 99/100 in the series. When you add them, you will get 1.
Similarly, you have 2/100 and 98/100. This will again give you 1.
This will continue till 49/100 and 51/100.
So you have a total of 49.
You are left with 5 terms: 50/100 + 100/100 + 101/100 + 102/100 + 103/100 which add to apprx 4.5
Now you have a 103 times 1/2 which adds up to 51.5

So the total is 49 + 4.5 + 51.5 = 105 apprx
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

Expert Post
Veritas Prep GMAT Instructor
User avatar
Joined: 16 Oct 2010
Posts: 4772
Location: Pune, India
Followers: 1116

Kudos [?]: 5055 [0], given: 164

Re: [1/2+1/100] + [1/2+2/100] + [1/2+3/100] + ...... + [1/2+103/ [#permalink] New post 11 Oct 2012, 20:46
Expert's post
You can also use the concept of sum of first n integers here.
Sum of first n integers = n(n+1)/2

Take all 1/2s together and take out 1/100 common out of the rest of the terms.

103*(1/2) + (1/100)(1 + 2 + 3 + 4 ....+ 103)
= 103/2 + (1/100) (103*104)/2 = 105 apprx
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Save $100 on Veritas Prep GMAT Courses And Admissions Consulting
Enroll now. Pay later. Take advantage of Veritas Prep's flexible payment plan options.

Veritas Prep Reviews

Intern
Intern
avatar
Joined: 09 Sep 2012
Posts: 35
Location: United States
Followers: 2

Kudos [?]: 6 [0], given: 33

Re: [1/2+1/100] + [1/2+2/100] + [1/2+3/100] + ...... + [1/2+103/ [#permalink] New post 11 Oct 2012, 21:22
VeritasPrepKarishma wrote:
154238 wrote:
Guys plz help me with the question below

[1/2+1/100] + [1/2+2/100] + [1/2+3/100] + ...... + [1/2+103/100]

a)52
b)53
c)54
d)55
e)none of these

Thanks


There is something wrong in the answer choices or the question (or the answer is (E)).
Ignore the 1/2s right now.
You have 1/100 and you have 99/100 in the series. When you add them, you will get 1.
Similarly, you have 2/100 and 98/100. This will again give you 1.
This will continue till 49/100 and 51/100.
So you have a total of 49.
You are left with 5 terms: 50/100 + 100/100 + 101/100 + 102/100 + 103/100 which add to apprx 4.5
Now you have a 103 times 1/2 which adds up to 51.5

So the total is 49 + 4.5 + 51.5 = 105 apprx



Even i feel that the answer given was incorrect. Thanks for your help :-D

Cheers :-D
Re: [1/2+1/100] + [1/2+2/100] + [1/2+3/100] + ...... + [1/2+103/   [#permalink] 11 Oct 2012, 21:22
Display posts from previous: Sort by

[1/2+1/100] + [1/2+2/100] + [1/2+3/100] + ...... + [1/2+103/

  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®.