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number property, new

Expert replies
by tanviet » Thu Apr 16, 2009 2:37 am
what is value of integer n

1, n(n+2)= 15

2, power n of (n+2) = 125

pls,help with this
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Source: — Data Sufficiency |

by bluementor » Thu Apr 16, 2009 2:45 am
n is an integer.

Statement 1:

n(n+2) =15

we can have two possibilites for n: n = -5 and n = 3. Insufficient.

Statement 2:

(n+2)^n = 125

the only possible value for n is 3. Sufficient.

Choose B.

-BM-
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by tanviet » Thu Apr 16, 2009 3:12 am
why do you know there is only 3 for the second case
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by bluementor » Thu Apr 16, 2009 3:59 am
duongthang wrote:why do you know there is only 3 for the second case
because there only two possibilites to represent 125 in the form of x^n (with n being an integer)

125^1
5^3

Since n=1 does not satisfy statement 2, n cannot be 1. However n=3 satisfies statement 2.

hth.

-BM-
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