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What is the value of (x - y)^4? (1) The product of x and y

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Senior Manager
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Joined: 10 Mar 2008
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What is the value of (x - y)^4? (1) The product of x and y [#permalink]

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New post 29 Sep 2008, 09:31
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

What is the value of (x - y)^4?
(1) The product of x and y is 7.
(2) x and y are integers.

Kudos [?]: 360 [0], given: 0

VP
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Re: exponents [#permalink]

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New post 29 Sep 2008, 09:43
vksunder wrote:
What is the value of (x - y)^4?
(1) The product of x and y is 7.
(2) x and y are integers.


C

xy=7 means there are many pairs satisfying (1,7) (7,1) (7/2,2) (3,7/3) and so on. Insuff

x,y are integers means infinite number of pairs will satisfy such condition and hence infinite values. Insuff

Together eliminate every thing else other than (1,7) and (7,1) Both result in same value. Hence C

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Director
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Schools: Wharton
Re: exponents [#permalink]

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New post 29 Sep 2008, 09:43
vksunder wrote:
What is the value of (x - y)^4?
(1) The product of x and y is 7.
(2) x and y are integers.


(1) Insufficient

If x = y = sqrt(7), (x-y)^4 = 0
If x = 7, y = 1, (x-y)^4 = 6^4

(2) Insufficient

x and y could be any integer

(1) and (2) Sufficient

Because 7 is a prime number, x and y are 1 and 7 or vice versa.
Thus, x - y = 6 or -6
6^4 = (-6)^4
Therefore, we know that (x-y)^4

Kudos [?]: 162 [0], given: 0

Re: exponents   [#permalink] 29 Sep 2008, 09:43
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What is the value of (x - y)^4? (1) The product of x and y

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