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

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Senior Manager
Joined: 12 Mar 2006
Posts: 365
Schools: Kellogg School of Management
If x, y, and n are positive integers, is (x/y)^n greater [#permalink]

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26 Nov 2006, 21:37
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If x, y, and n are positive integers, is (x/y)^n greater than 1,000 ?
(1) and n > y.
(2) x > 5y and n > x.
Senior Manager
Joined: 08 Jun 2006
Posts: 335
Location: Washington DC

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26 Nov 2006, 22:10
B?

1) is not sufficient

2)
x > 5y
and n > x => n > 5y
Take the Limiting case (x/y) ^ n > (5y/y)^5y > 5^5y
For any value of y (positive integer) 5^5y > 1000
Manager
Joined: 10 Jul 2006
Posts: 72

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26 Nov 2006, 22:16
I think it's B.
From 1: n>y, (x/y)^n may or may not be greater than 1000
Example x=y=1 and n=2 and 1<1000. But if x=2, y=1, n=11, then 2^11>1000. Thus, insuff.

From 2: since x, y, n are positive integers, they must be at least 1.
x>5y, n>5y, and n>x. Even if the smallest value of x,y,z are picked, which is y =1, x=6 and n=7 and 6^7>1000. Suff

Ans B
VP
Joined: 25 Jun 2006
Posts: 1166

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26 Nov 2006, 22:26
B 2.

i think his 1st condition misses something.
Senior Manager
Joined: 20 Feb 2006
Posts: 373

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28 Nov 2006, 18:20
Nice question and good work anindyat.
28 Nov 2006, 18:20
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