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# If abc is not equal to 0, what is the value of

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Director
Joined: 26 Feb 2006
Posts: 900

Kudos [?]: 161 [0], given: 0

If abc is not equal to 0, what is the value of [#permalink]

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14 May 2007, 20:53
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If abc is not equal to 0, what is the value of (a^3+b^3+c^3)/abc?

(1) |a|=1, |b|=2, |c|=3
(2) a + b + c = 0

Kudos [?]: 161 [0], given: 0

Manager
Joined: 30 Jun 2006
Posts: 87

Kudos [?]: 11 [0], given: 0

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14 May 2007, 21:10
The explanation by apache below is correct.

Removing my post.

Last edited by jainvik7 on 14 May 2007, 23:04, edited 1 time in total.

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Manager
Joined: 30 Mar 2007
Posts: 213

Kudos [?]: 12 [0], given: 0

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14 May 2007, 22:54
a^3+b^3+c^3=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)+3abc

1 is not sufficient.

by 2 condition a^3+b^3+c^3/abc=3abc/abc = 3

so B.

Kudos [?]: 12 [0], given: 0

Director
Joined: 26 Feb 2006
Posts: 900

Kudos [?]: 161 [0], given: 0

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19 May 2007, 22:25
apache wrote:
Himalayan,
check again

you passsed my checking and I award you B.

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CEO
Joined: 29 Mar 2007
Posts: 2553

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19 May 2007, 23:20
Can you explain a little bit more??? Im still lost. Why does a^3+b^3+c^3= 3abc?

Kudos [?]: 527 [0], given: 0

Director
Joined: 26 Feb 2006
Posts: 900

Kudos [?]: 161 [0], given: 0

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19 May 2007, 23:56
GMATBLACKBELT wrote:
Can you explain a little bit more??? Im still lost. Why does a^3+b^3+c^3= 3abc?

=a^3+b^3+c^3
= (a+b+c)(a^2+b^2+c^2-ab-bc-ca)+3abc
= 3abc

because (a+b+c) = 0. then,

(a^3+b^3+c^3) / abc = 3abc / abc = 3.

hth

Kudos [?]: 161 [0], given: 0

19 May 2007, 23:56
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# If abc is not equal to 0, what is the value of

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