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Totally Weird!

by smclean23 » Tue Aug 05, 2008 5:50 pm
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.




Answer is B
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Source: — Data Sufficiency |
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by TrizMA » Wed Aug 06, 2008 2:53 am
1) x=y^3 and n > y.

Use 1 to simplify (x/y)^n => y^(2n). We know n>y. But y could be 1 or 2 etc and it will mean (x/y)^n< 1,000. Similarly if you take y to be 10 then (x/y)^n> 1,000. So not sufficient

2) x > 5y and n > x.

x/y> 5. Smallest possible value of n=6; when y=1, x=5; 5^6>1,000. We know for sure x/y>5; and n>5 hence any possible combination of (x/y)^n for statement 2 will be greater than 1,000.

Hope this helps
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