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

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(1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =  [#permalink]

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

Difficulty:

  5% (low)

Question Stats:

94% (00:54) correct 6% (01:24) wrong based on 810 sessions

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New post 25 Jun 2018, 22:04
4
Brackets here is misleading

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

Answer: C

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New post 25 Jun 2018, 22:08

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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New post 26 Jun 2018, 05:40
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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New post 26 Jun 2018, 07:23
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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
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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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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,
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New post 08 Oct 2018, 05:39
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Re: (1/2 - 1/3) + (1/3 - 1/4) + (1/4 - 1/5) + (1/5 - 1/6) =   [#permalink] 08 Oct 2018, 05:39
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