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# If x, y, and n are positive integers, is (x/y)^n greater

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If x, y, and n are positive integers, is (x/y)^n greater [#permalink]

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17 Nov 2009, 07:17
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If x, y, and n are positive integers, is (x/y)^n greater than 1,000 ?
(1) x = y^3 and n > y.
(2) x > 5y and n > x.
Senior Manager
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Re: is (x/y)^n greater than 1,000 ? [#permalink]

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17 Nov 2009, 07:35
SMAbbas wrote:
If x, y, and n are positive integers, is (x/y)^n greater than 1,000 ?
(1) x = y^3 and n > y.
(2) x > 5y and n > x.

B
1. (x/y)^n = (y^3/y)^n= y^2n. we can get values both greater or less than 1000 hence insuff
2. x>5y so if y =1 then least value of x is 6 and n>x>6. ie minimum value we will get is 6^7. hence suff
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Re: is (x/y)^n greater than 1,000 ? [#permalink]

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17 Nov 2009, 07:42
kp1811 wrote:
SMAbbas wrote:
If x, y, and n are positive integers, is (x/y)^n greater than 1,000 ?
(1) x = y^3 and n > y.
(2) x > 5y and n > x.

B
1. (x/y)^n = (y^3/y)^n= y^2n. we can get values both greater or less than 1000 hence insuff
2. x>5y so if y =1 then least value of x is 6 and n>x>6. ie minimum value we will get is 6^7. hence suff

Also getting B

1) let's assume y = 1 then x = 1 and doesn't matter what n is it will be less than 1000
y = 2 x = 8 n can be anything that makes it >1000
insufficient
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Re: is (x/y)^n greater than 1,000 ? [#permalink]

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17 Nov 2009, 08:01
Getting B as well. Similar reasoning as above. Whats the OA?
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Re: is (x/y)^n greater than 1,000 ? [#permalink]

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17 Nov 2009, 10:28
OA is B

Thanks a lot !
Re: is (x/y)^n greater than 1,000 ?   [#permalink] 17 Nov 2009, 10:28
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