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# If denotes a mathematical operation, does x y=y x for all x

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Senior Manager
Joined: 16 Jul 2009
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If denotes a mathematical operation, does x y=y x for all x [#permalink]

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01 Apr 2010, 12:33
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100% (01:33) correct 0% (00:00) wrong based on 10 sessions

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If ☉ denotes a mathematical operation, does x☉y=y☉x for all x and y?
(1) For all x and y, x☉y = $$2(x^2 + y^2)$$.
(2) For all y, 0☉y = $$2 y^2$$
Manager
Joined: 26 May 2005
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Kudos [?]: 122 [0], given: 1

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01 Apr 2010, 12:50
abhi758 wrote:
If ☉ denotes a mathematical operation, does x☉y=y☉x for all x and y?
(1) For all x and y, x☉y = $$2(x^2 + y^2)$$.
(2) For all y, 0☉y = $$2 y^2$$

st 1) xOy = 2(x^2+y^2)
yOx=2(y^2+x^2)
Yes. Sufficient
st 2) 0Oy = 2 * y^2 -- this expression varies with y
yO0 = 2 * 0 = 0 .. this expression is always 0
but both expression will be 0 if y=0 and different if y!=0
not sufficient

A
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02 Apr 2010, 15:17
Even I'll go with A !

What's the OA ?
_________________

"Success is going from failure to failure without a loss of enthusiam." - Winston Churchill

As vs Like - Check this link : http://www.grammar-quizzes.com/like-as.html.

Manager
Joined: 26 Feb 2010
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08 Apr 2010, 13:09
A

With B we don't know what happen with the other numbers
Re: Mathematical Symbols   [#permalink] 08 Apr 2010, 13:09
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