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

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Bunuel
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(1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] New post   25 Jun 2018, 22:00
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\((\frac{1}{2} - \frac{1}{3}) + (\frac{1}{3} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{6}) =\)


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)
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C
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magbot
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] New post   25 Jun 2018, 22:04
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Brackets here is misleading

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

Answer: C

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BrentGMATPrepNow
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] New post   26 Jun 2018, 07:23
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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
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(1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] New post   20 Nov 2020, 11:15
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Video solution from Quant Reasoning:
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] New post   25 Jun 2018, 22:08
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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
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] New post   26 Jun 2018, 05:40
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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
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] New post   26 Jun 2018, 15:42
Cancel out + and - terms, effectively comes down to 1/2 - 1/6 = 1/3
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] 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
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Bunuel
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] New post   08 Oct 2018, 05:39
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FANewJersey wrote:
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


That's a code of a question in OG.

All OG's: https://gmatclub.com/forum/gmac-officia ... 40610.html
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] 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
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] New post   15 Jul 2019, 00:18
cancel out the terms.

1/2 - 1/6 remains.. 1/3 is the answer
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] 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
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] 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
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] 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 ?
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] 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
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] 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
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] New post   16 Jan 2020, 22:54
1/2 -1/3 = 1/6
1/3 -1/4=1/12.....1/20...1/30

LCM = 60

10+5+3+2 = 20/60 = 1/3

This is lengthy method.So just open all the brackets you will get 1/2- 1/6 = 2/6= 1/3
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] New post   12 Sep 2020, 03:32
Bunuel, are there more difficult Questions tested on this same Question type/ pattern?
I think I have seen one and it tested the same thing. Could you please provide a list of the same here?

Not sure if there’s some specific thing being tested here - is there a specific name of the concept being tested? It’d be great if you could help me with these

Posted from my mobile device
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] New post   12 Sep 2020, 03:40
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kajaldaryani46 wrote:
Bunuel, are there more difficult Questions tested on this same Question type/ pattern?
I think I have seen one and it tested the same thing. Could you please provide a list of the same here?

Not sure if there’s some specific thing being tested here - is there a specific name of the concept being tested? It’d be great if you could help me with these

Posted from my mobile device


You can look for similar questions under the Arithmetic tag: https://gmatclub.com/forum/search.php?s ... &tag_id=51 You can also check similar questions at the bottom of this page in SIMILAR QUESTIONS block.

1. Arithmetic




For more check below:
ALL YOU NEED FOR QUANT ! ! !
Ultimate GMAT Quantitative Megathread
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink] New post   12 Sep 2020, 05:11
\((\frac{1}{2}−\frac{1}{3})+(\frac{1}{3}−\frac{1}{4})+(\frac{1}{4}−\frac{1}{5})+(\frac{1}{5}−\frac{1}{6})=\)


Remove the bracket: many fraction will cancel out: We are left with
\((\frac{1}{2}−\frac{1}{6})=\frac{1}{3}\)

A. −\(\frac{1}{6}\)

B. 0

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

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

E. \(\frac{2}{3}\)
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) = [#permalink]
12 Sep 2020, 05:11
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