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1/4+1/3+1/2

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Joined: 18 Apr 2015
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1/4+1/3+1/2 [#permalink]  28 Jul 2018, 08:20
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Expert's post
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Question Stats:

67% (00:54) correct 32% (01:14) wrong based on 28 sessions
 Quantity A Quantity B $$\frac{1}{4 + \frac{1}{3 + \frac{1}{2}}$$ $$\frac{1}{2 + \frac{1}{3 + \frac{1}{4}}$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E
[Reveal] Spoiler: OA

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Director
Joined: 20 Apr 2016
Posts: 743
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Kudos [?]: 500 [1] , given: 86

Re: 1/4+1/3+1/2 [#permalink]  29 Jul 2018, 18:29
1
KUDOS
Carcass wrote:
 Quantity A Quantity B $$\frac{1}{4 + \frac{1}{3 + \frac{1}{2}}$$ $$\frac{1}{2 + \frac{1}{3 + \frac{1}{4}}$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E

QTY A = $${\frac{1}{4 + \frac{1}{3 + \frac{1}{2}}} = {\frac{1}{4 + \frac{2}{7}}} = {\frac{1}{28 + \frac{2}{7}}} = {\frac{1}{\frac{30}{7}}} = {\frac{7}{30}}$$

QTY B = $${\frac{1}{2 + \frac{1}{3 + \frac{1}{4}}} = {\frac{1}{2 + \frac{4}{13}}} = {\frac{1}{26 + \frac{4}{13}}} = {\frac{1}{\frac{30}{13}}} = {\frac{13}{30}}$$

Therefore QTY A < QTY B

Option B
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GRE Instructor
Joined: 10 Apr 2015
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Kudos [?]: 1053 [0], given: 6

Re: 1/4+1/3+1/2 [#permalink]  02 Aug 2018, 15:51
Expert's post
Carcass wrote:
 Quantity A Quantity B $$\frac{1}{4 + \frac{1}{3 + \frac{1}{2}}$$ $$\frac{1}{2 + \frac{1}{3 + \frac{1}{4}}$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Kudos for R.A.E

We need only recognize that 1/(3 + 1/2) is less than 1
So, 4 + 1/(3 + 1/2) = 4.something

Likewise, 1/(3 + 1/4) is less than 1
So, 2 + 1/(3 + 1/2) = 2.something

So, we get:
Quantity A: 1/(4.something)
Quantity B: 1/(2.something)

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com

Re: 1/4+1/3+1/2   [#permalink] 02 Aug 2018, 15:51
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