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if x, y, and n are pos. integers, is (x/y)^n greater than

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if x, y, and n are pos. integers, is (x/y)^n greater than [#permalink] New post 27 Jan 2008, 16:13
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if x, y, and n are pos. integers, is (x/y)^n greater than 1000?
1. x=y^3 and n>y
2. x>5y and n>x
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Re: DS: x&y [#permalink] New post 27 Jan 2008, 16:29
I would say B.

1. x=y^3 and n>y
Lets assume n = y.
(y^3 / y ) ^y = y^2y.
Not sufficient.

2. x>5y and n>x
Lets just assume that X = 5y and n = x.
(x/y)^n = (5y / y ) ^ 5y

If y is 1, 5 ^ 5 > 1000.
When x > 5y and n> x, (x/y)^n will certainly be greater than 1000.
#2 is sufficient.

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Re: DS: x&y   [#permalink] 27 Jan 2008, 16:29
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if x, y, and n are pos. integers, is (x/y)^n greater than

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