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# If the symbol § represents one of the following operations:

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Intern
Joined: 03 Sep 2013
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If the symbol § represents one of the following operations:  [#permalink]

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06 Oct 2013, 11:12
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Difficulty:

85% (hard)

Question Stats:

51% (01:37) correct 49% (01:49) wrong based on 299 sessions

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If the symbol § represents one of the following operations: addition, subtraction or multiplication, and x≠0, then what is the value of (x§2)§x?

(1) x=5
(2) (−1)§(−2)≠(−2)§(−1)

Hello guys, I can't understand how the answer to this question could be the one indicated.
It would be great if someone would explain me how does it work.
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Joined: 02 Sep 2009
Posts: 58454
Re: If the symbol § represents one of the following operations:  [#permalink]

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06 Oct 2013, 11:19
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If the symbol § represents one of the following operations: addition, subtraction or multiplication, and x≠0, then what is the value of (x§2)§x?

(1) x=5. We need to know what § represents.

(2) (−1)§(−2)≠(−2)§(−1). § is neither addition nor multiplication. Thus it's subtraction: (x§2)§x = (x-2)-x=-2. Sufficient.

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Re: If the symbol § represents one of the following operations:  [#permalink]

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06 Oct 2013, 11:20
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Joined: 05 Feb 2015
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Re: If the symbol § represents one of the following operations:  [#permalink]

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07 May 2015, 10:10
Hi mattycen

1) is definitely insufficient because depending upon what the symbol denotes, the value would change.

2) -a * -b -> this would always be equal to -b * -a
-a + -b -> this equals -a -b or -b + -a
the only operation here is subtraction that could change the value of the given expression.
So, using this we can calculate the value of (x§2)§x
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Re: If the symbol § represents one of the following operations:  [#permalink]

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18 Jul 2015, 13:59
mattycen wrote:
If the symbol § represents one of the following operations: addition, subtraction or multiplication, and x≠0, then what is the value of (x§2)§x?

(1) x=5
(2) (−1)§(−2)≠(−2)§(−1)

Hello guys, I can't understand how the answer to this question could be the one indicated.
It would be great if someone would explain me how does it work.

Please move this to DS from PS. Thank you
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Re: If the symbol § represents one of the following operations:  [#permalink]

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18 Jul 2015, 15:51
nktdotgupta wrote:
mattycen wrote:
If the symbol § represents one of the following operations: addition, subtraction or multiplication, and x≠0, then what is the value of (x§2)§x?

(1) x=5
(2) (−1)§(−2)≠(−2)§(−1)

Hello guys, I can't understand how the answer to this question could be the one indicated.
It would be great if someone would explain me how does it work.

Please move this to DS from PS. Thank you

Done. Thankyou for the information.
Intern
Joined: 10 Jun 2014
Posts: 18
Re: If the symbol § represents one of the following operations:  [#permalink]

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21 Sep 2016, 02:51
Bunuel wrote:
If the symbol § represents one of the following operations: addition, subtraction or multiplication, and x≠0, then what is the value of (x§2)§x?

(1) x=5. We need to know what § represents.

(2) (−1)§(−2)≠(−2)§(−1). § is neither addition nor multiplication. Thus it's subtraction: (x§2)§x = (x-2)-x=-2. Sufficient.

x can be negative in that case answer B is not right one. Do u agree with that?
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Re: If the symbol § represents one of the following operations:  [#permalink]

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21 Sep 2016, 03:09
azamaka wrote:
Bunuel wrote:
If the symbol § represents one of the following operations: addition, subtraction or multiplication, and x≠0, then what is the value of (x§2)§x?

(1) x=5. We need to know what § represents.

(2) (−1)§(−2)≠(−2)§(−1). § is neither addition nor multiplication. Thus it's subtraction: (x§2)§x = (x-2)-x=-2. Sufficient.

x can be negative in that case answer B is not right one. Do u agree with that?

No, that's not right.

From (2) we know that § represents subtraction. We need to find the value of (x§2)§x, thus since § represents subtraction, the value of (x-2)-x. x there cancels out and we get that (x-2)-x=-2. Therefore we get that (x§2)§x = (x-2)-x=-2 irrespective of the value of x, positive or negative.

Hope it's clear.
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Re: If the symbol § represents one of the following operations:  [#permalink]

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29 Mar 2019, 08:43
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Re: If the symbol § represents one of the following operations:   [#permalink] 29 Mar 2019, 08:43
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