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What is the value of (x - y)^4?

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What is the value of (x - y)^4? [#permalink] New post 27 Feb 2012, 09:17
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What is the value of (x - y)^4?

(1) The product of x and y is 7.
(2) x and y are integers.
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Re: What is the value [#permalink] New post 27 Feb 2012, 09:20
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What is the value of (x - y)^4?

(1) The product of x and y is 7, well this one is clearly insufficient: if x=7 and y=1 then (x-y)^4=6^4 and if x=14 and y=\frac{1}{2} then (x-y)^4=(\frac{27}{2})^4, two different answers, hence not sufficient.

(2) x and y are integers. Also insufficient.

(1)+(2) As x and y are integers and xy=7 then either x and y are 1 and 7 (or vise-versa) or -1 and -7 (or vise-versa) in any case because of even power: (x-y)^4=(7-1)^4=(1-7)^4=(-7+1)^4=(-1+7)^4=6^4. Sufficient.

Answer: C.
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What is the value of (x-y)^4 ? [#permalink] New post 23 Jul 2012, 02:18
What is the value of (x-y)^4 ?

1. The product of x and y is 7.
2. x and y are integers.
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Re: What is the value of (x-y)^4 ? [#permalink] New post 23 Jul 2012, 02:26
ananthpatri wrote:
What is the value of (x-y)^4 ?

1. The product of x and y is 7.
2. x and y are integers.



Merging similar topics. Please refer to the solution above.
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PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. NEW!!!

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!


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Re: What is the value of (x-y)^4 ?   [#permalink] 23 Jul 2012, 02:26
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