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

It is currently 21 Nov 2019, 03:55

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

(1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59229
(1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

Show Tags

New post 25 Jun 2018, 22:00
2
1
4
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

94% (00:54) correct 6% (01:27) wrong based on 989 sessions

HideShow timer Statistics

Most Helpful Community Reply
Intern
Intern
avatar
B
Joined: 02 Sep 2015
Posts: 41
GMAT ToolKit User
Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

Show Tags

New post 25 Jun 2018, 22:04
8
Brackets here is misleading

Cancel out terms and the remaining is 1/2 - 1/6 = 1/3

Answer: C

Posted from my mobile device
General Discussion
e-GMAT Representative
User avatar
V
Joined: 04 Jan 2015
Posts: 3142
Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

Show Tags

New post 25 Jun 2018, 22:08
1

Solution



To find:
    • The value of the expression \((\frac{1}{2} - \frac{1}{3}) + (\frac{1}{3} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{6})\)

Approach and Working:
From the expression \((\frac{1}{2} - \frac{1}{3}) + (\frac{1}{3} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{6})\), if wwe rewrite it by removing the brackets, we get:
    • \(\frac{1}{2} - \frac{1}{3} + \frac{1}{3} - \frac{1}{4} + \frac{1}{4} - \frac{1}{5} + \frac{1}{5} - \frac{1}{6}\)
    = \(\frac{1}{2} - \frac{1}{6}\)
    = \(\frac{1}{3}\)

Hence, the correct answer is option C.

Answer: C
_________________
SVP
SVP
User avatar
V
Joined: 26 Mar 2013
Posts: 2344
Reviews Badge CAT Tests
Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

Show Tags

New post 26 Jun 2018, 05:40
1
Bunuel wrote:
\((\frac{1}{2} - \frac{1}{3}) + (\frac{1}{3} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{6}) =\)


A. \(-\frac{1}{6}\)

B. 0

C. \(\frac{1}{3}\)

D. \(\frac{1}{2}\)

E. \(\frac{2}{3}\)


NEW question from GMAT® Official Guide 2019


(PS05410)


After canceling all term we left with:

\(\frac{1}{2}\) - \(\frac{1}{6}\)

Both are not equal...........result can't equal zero...............Eliminate B

\(\frac{1}{2}\)>\(\frac{1}{6}\)...result Must be POSITIVE and less than \(\frac{1}{2}\)..........Eliminate A& D & E

Only one answer left

Answer: C
GMAT Club Legend
GMAT Club Legend
User avatar
V
Joined: 12 Sep 2015
Posts: 4074
Location: Canada
Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

Show Tags

New post 26 Jun 2018, 07:23
4
Top Contributor
Bunuel wrote:
\((\frac{1}{2} - \frac{1}{3}) + (\frac{1}{3} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{6}) =\)


A. \(-\frac{1}{6}\)

B. 0

C. \(\frac{1}{3}\)

D. \(\frac{1}{2}\)

E. \(\frac{2}{3}\)


NEW question from GMAT® Official Guide 2019


(PS05410)


GIVEN: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6)

The terms with the same colors combine to get 0.
So, we get: 1/2 + 0 + 0 + 0 - 1/6

Simplify: 1/2 - 1/6

Rewrite with same denominators: 3/6 - 1/6

Evaluate: 2/6, which simplifies to get: 1/3

Answer: C

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
Intern
Intern
avatar
B
Joined: 15 May 2017
Posts: 26
GMAT ToolKit User
Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

Show Tags

New post 26 Jun 2018, 15:42
Cancel out + and - terms, effectively comes down to 1/2 - 1/6 = 1/3
Intern
Intern
avatar
B
Joined: 01 May 2017
Posts: 33
Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

Show Tags

New post 08 Oct 2018, 05:32
Hi Bunuel
What does PS05410 signify? Does this mean that there is list on GMATCLUB, in which all of the OG questions have been numbered.
Warmly,
FANJ
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59229
Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

Show Tags

New post 08 Oct 2018, 05:39
Director
Director
User avatar
P
Joined: 18 Dec 2017
Posts: 727
Location: United States (KS)
Premium Member
Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

Show Tags

New post 07 Jul 2019, 10:19
magbot wrote:
Brackets here is misleading

Cancel out terms and the remaining is 1/2 - 1/6 = 1/3

Answer: C

Posted from my mobile device


Did not see that coming. Nice one
_________________
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
Software Tester currently in USA ( ;-) )

Learn from the Legend himself: All GMAT Ninja LIVE YouTube videos by topic
You are missing on great learning if you don't know what this is: Project SC Butler
Senior Manager
Senior Manager
User avatar
G
Joined: 10 Aug 2018
Posts: 339
Location: India
Concentration: Strategy, Operations
WE: Operations (Energy and Utilities)
Reviews Badge
Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

Show Tags

New post 15 Jul 2019, 00:18
cancel out the terms.

1/2 - 1/6 remains.. 1/3 is the answer
_________________
On the way to get into the B-school and I will not leave it until I win. WHATEVER IT TAKES.

" I CAN AND I WILL"

GMAT:[640 Q44, V34, IR4, AWA5]
Manager
Manager
User avatar
B
Joined: 24 Sep 2018
Posts: 99
Location: India
Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

Show Tags

New post 15 Jul 2019, 02:16
(1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6)

Opening up the brackets
we will get: 1/2 + 0 + 0 + 0 - 1/6

Simplify: 1/2 - 1/6 =1/3
_________________
Thanks,
Bijaya

If this post is helpful for you please press the kudos button
Intern
Intern
avatar
B
Joined: 09 May 2019
Posts: 23
Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

Show Tags

New post 18 Jul 2019, 04:05
Cancel out the positive and negative terms so that you are left with - 1/2 - 1/6 = 1/3

Hence option C
Intern
Intern
avatar
B
Joined: 11 Jul 2019
Posts: 5
Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

Show Tags

New post 27 Aug 2019, 08:31
GMATPrepNow wrote:

GIVEN: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6)

The terms with the same colors combine to get 0.
So, we get: 1/2 + 0 + 0 + 0 - 1/6

Simplify: 1/2 - 1/6

Rewrite with same denominators: 3/6 - 1/6

Evaluate: 2/6, which simplifies to get: 1/3

Answer: C

Cheers,
Brent



what about solving the bracket first ?
Director
Director
User avatar
P
Joined: 18 Dec 2017
Posts: 727
Location: United States (KS)
Premium Member
Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

Show Tags

New post 27 Aug 2019, 08:35
Neena96 wrote:
GMATPrepNow wrote:

GIVEN: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6)

The terms with the same colors combine to get 0.
So, we get: 1/2 + 0 + 0 + 0 - 1/6

Simplify: 1/2 - 1/6

Rewrite with same denominators: 3/6 - 1/6

Evaluate: 2/6, which simplifies to get: 1/3

Answer: C

Cheers,
Brent



what about solving the bracket first ?


Neena96
Will it really matter? (2+3)-(1+1) results in 3. Which is same as 2+3-1-1 and results in 3. Now in our case the sign outside the brackets is +. So you can deal with them as you want :)

I hope that helps
_________________
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
Software Tester currently in USA ( ;-) )

Learn from the Legend himself: All GMAT Ninja LIVE YouTube videos by topic
You are missing on great learning if you don't know what this is: Project SC Butler
SVP
SVP
User avatar
P
Joined: 03 Jun 2019
Posts: 1853
Location: India
Premium Member Reviews Badge CAT Tests
Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

Show Tags

New post 16 Sep 2019, 08:14
Bunuel wrote:
\((\frac{1}{2} - \frac{1}{3}) + (\frac{1}{3} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{6}) =\)


A. \(-\frac{1}{6}\)

B. 0

C. \(\frac{1}{3}\)

D. \(\frac{1}{2}\)

E. \(\frac{2}{3}\)


NEW question from GMAT® Official Guide 2019


(PS05410)


\((\frac{1}{2} - \frac{1}{3}) + (\frac{1}{3} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{6}) = \frac{1}{2} - \frac{1}{6} = \frac{2}{6} = \frac{1}{3}\)

IMO C
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning
All you need to know about GMAT quant

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
GMAT Club Bot
Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =   [#permalink] 16 Sep 2019, 08:14
Display posts from previous: Sort by

(1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =

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





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