GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

It is currently 28 Feb 2020, 18:08

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

If N = 10/10^2 + 0 + 11/10^2 + 1 + 12/10^2 + 2 +

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

Hide Tags

Find Similar Topics 
VP
VP
avatar
V
Joined: 20 Jul 2017
Posts: 1337
Location: India
Concentration: Entrepreneurship, Marketing
WE: Education (Education)
If N = 10/10^2 + 0 + 11/10^2 + 1 + 12/10^2 + 2 +  [#permalink]

Show Tags

New post 05 Jan 2020, 06:58
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

41% (02:23) correct 59% (02:19) wrong based on 32 sessions

HideShow timer Statistics

If N = \(\frac{10}{{10^2 + 0}}\) + \(\frac{11}{{10^2 + 1}}\) + \(\frac{12}{{10^2 + 2}}\) + . . . . . . . . . . + \(\frac{19}{{10^2 + 9}}\) + \(\frac{20}{{10^2 + 10}}\). Find the approximate value of N

A. 0.52
B. 0.83
C. 1.49
D. 1.57
E. 1.66
Director
Director
avatar
V
Joined: 30 Sep 2017
Posts: 696
GMAT 1: 720 Q49 V40
GPA: 3.8
Premium Member Reviews Badge
If N = 10/10^2 + 0 + 11/10^2 + 1 + 12/10^2 + 2 +  [#permalink]

Show Tags

New post Updated on: 05 Jan 2020, 17:50
1
Approximating the denominator of each fraction, one gets N as follows:
= (10+11+12+13+14+15)/100 + (16+17+18+19+20)/110
= 75/100 + 90/110
= 0.75 + 0.82
= 1.57

FINAL ANSWER IS (D)

Originally posted by chondro48 on 05 Jan 2020, 07:22.
Last edited by chondro48 on 05 Jan 2020, 17:50, edited 2 times in total.
Director
Director
avatar
P
Joined: 25 Jul 2018
Posts: 578
Re: If N = 10/10^2 + 0 + 11/10^2 + 1 + 12/10^2 + 2 +  [#permalink]

Show Tags

New post 05 Jan 2020, 07:44
1
A and B cannot be the answer.
—> there are 11 terms and each term greater than 0.1 (> 11*0.1= 1.1)

Let’s say that the denominator of each term is 10 —> 10+11+...19+20 =( 10+20)*11/2= 165 —> 165/10= 1.65 —> E cannot be the answer
Because N is less than 1.66

Let’s say that the denominator of each term is 110 —> 165/110 = 1.5
N is greater than 1.5
C cannot be the answer.

We have Only D left.
The answer is D.

Posted from my mobile device
Intern
Intern
avatar
B
Joined: 13 Jan 2020
Posts: 18
Re: If N = 10/10^2 + 0 + 11/10^2 + 1 + 12/10^2 + 2 +  [#permalink]

Show Tags

New post 28 Jan 2020, 21:40
1
After approximation, one gets N as follows:

\(= \frac{(10+11+12+13+14+15)}{100} + \frac{(16+17+18+19+20)}{110}\)
\(= \frac{ 75}{100} + \frac{90}{110}\)
\(= 0.75 + 0.82\)
\(= 1.57\)

FINAL ANSWER IS (D)
Intern
Intern
avatar
B
Joined: 16 Oct 2018
Posts: 9
Re: If N = 10/10^2 + 0 + 11/10^2 + 1 + 12/10^2 + 2 +  [#permalink]

Show Tags

New post 04 Feb 2020, 03:17
(10+11+12...+20)/(10^2+10)< N <(10+11+12...+20)/(10^2)

This implies 1.5 < N < 1.65

Clearly option D is the answer

Posted from my mobile device
GMAT Club Bot
Re: If N = 10/10^2 + 0 + 11/10^2 + 1 + 12/10^2 + 2 +   [#permalink] 04 Feb 2020, 03:17
Display posts from previous: Sort by

If N = 10/10^2 + 0 + 11/10^2 + 1 + 12/10^2 + 2 +

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





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