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# The operation # is defined by x#

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Joined: 18 Apr 2015
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Kudos [?]: 1035 [1] , given: 4660

The operation # is defined by x# [#permalink]  17 Sep 2017, 12:04
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Question Stats:

85% (00:58) correct 14% (00:00) wrong based on 7 sessions

The operation # is defined by $$x#= \frac{1}{x} + x$$

 Quantity A Quantity B $$(4#)#$$ $$4.5$$

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.
[Reveal] Spoiler: OA

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Joined: 03 Sep 2017
Posts: 521
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Kudos [?]: 330 [0], given: 66

Re: The operation # is defined by x# [#permalink]  28 Sep 2017, 08:04
Applying the operation as described, we get $$(4#)# = (\frac{1}{4}+4)# = \frac{17}{4}# = \frac{4}{17}+\frac{17}{4} = \frac{508}{68} = 4.48 < 4.5$$

Re: The operation # is defined by x#   [#permalink] 28 Sep 2017, 08:04
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