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# Operations/functions defining algebraic/arithmetic expressio

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Math Expert
Joined: 02 Sep 2009
Posts: 65194

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21 Jun 2014, 08:28
3
16

Operations/functions defining algebraic/arithmetic expressions

 ! This post is a part of the Special Questions Directory focusing on Quant topics traditionally neglected and not covered by conventional sources but still tested on the GMAT. Many of these are above average difficulty questions

This type of question defines some function and asks to find the value of some expression involving that function. For example, "If the operation @ is defined by $$x@y=\sqrt{xy}$$ for all positive numbers x and y, then (5@45)@60 ="

PS:

the-operation-is-defined-by-x-y-1-x-1-y-for-all-67650.html
if-the-operation-is-defined-by-x-y-xy-1-2-for-all-144272.html
in-the-formula-v-1-2r-3-if-r-is-halved-then-v-is-multi-67221.html
if-the-operation-is-defined-for-all-integers-a-and-b-101282.html
an-operation-is-defined-by-the-equation-a-b-a-b-a-144074.html
a-function-f-is-defined-by-f-x-y-x-2-y-is-the-value-of-143156.html
if-the-function-q-is-defined-by-the-formula-q-5w-4x-z-131051.html
the-operation-x-n-for-all-positive-integers-greater-than-99064.html
for-any-numbers-a-and-b-a-b-a-b-ab-if-a-b-0-which-of-135320.html
for-all-numbers-s-and-t-the-operation-is-defined-by-s-t-167915.html
for-all-numbers-s-and-t-the-operation-is-defined-by-s-t-167630.html
the-operation-is-defined-for-all-nonzero-x-and-y-by-x-y-162019.html
the-operation-is-defined-for-all-integers-a-and-b-by-the-162119.html
if-the-operation-is-de-ned-for-all-x-and-y-by-the-equatio-172921.html
for-any-operation-that-acts-on-two-numbers-x-and-y-the-127024.html
the-operation-is-defined-for-all-nonzero-numbers-a-and-b-106495.html
m08-35-if-operation-x-is-defined-as-x-x-2-if-x-is-even-and-159445.html
for-any-integer-k-greater-than-1-the-symbol-k-denotes-the-105890.html
if-f-x-x-x-then-f-f-x-173007.html
if-p-r-8r-1-r-for-what-value-of-r-does-p-r-1-2-p-132864.html
if-f-x-x-and-g-x-x-2-7-what-is-the-value-of-f-g-189371.html
if-f-x-x-1-x-for-any-x-then-f-1-x-must-be-equal-to-which-of-the-fo-198616.html
if-x-y-3x-2-y-for-all-x-and-y-then-199745.html
if-x-y-x-y-x-y-for-all-x-and-y-then-199744.html

DS:

for-all-integers-x-and-y-the-operation-is-defined-by-x-y-86208.html
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Joined: 12 Jan 2018
Posts: 5
Re: Operations/functions defining algebraic/arithmetic expressio  [#permalink]

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06 Jun 2018, 07:50
Hi,

is there somewhere a theory to this? I do not understand how to approach this type of questions.

Cheers
Math Expert
Joined: 02 Sep 2009
Posts: 65194
Re: Operations/functions defining algebraic/arithmetic expressio  [#permalink]

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08 Jun 2018, 01:47
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Joined: 09 Sep 2013
Posts: 15426
Re: Operations/functions defining algebraic/arithmetic expressio  [#permalink]

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18 Jun 2019, 10:02
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: Operations/functions defining algebraic/arithmetic expressio   [#permalink] 18 Jun 2019, 10:02