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22. (SC) If for any none-zero integer N, then, N* – (N – l

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22. (SC) If for any none-zero integer N, then, N* – (N – l [#permalink]

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New post 15 Mar 2011, 16:51
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22. (SC) If for any none-zero integer N*=1-1/1-n, then, N* – (N – l)*=?
(A) 1/(1-n)(N-2)
(B) 1/N-2
(C) 1/(N-1)(N-2)
(D)1/N(N-1)
(E) 1/N-1

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Re: 22. (SC) If for any none-zero integer N, then, N* – (N – l [#permalink]

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New post 15 Mar 2011, 22:02
N* = (1-n-1)/1-n = -n/1-n = n/n-1

(N-1)* = 1 - 1/{1 -(N-1)} = 1 - 1/(2-N) = (2-N -1)/(2-N) = (1-N)/(2-N)

N/(N-1) - (1-N)/(2-N)

N/(N-1) + (N-1)/(2-N)

= (2N - N^2 + N^2 -2N + 1)/(N-1)(2-N)

= 1/(1-N)(N-2)

So the answer is A.
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Kudos [?]: 601 [0], given: 40

Re: 22. (SC) If for any none-zero integer N, then, N* – (N – l   [#permalink] 15 Mar 2011, 22:02
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22. (SC) If for any none-zero integer N, then, N* – (N – l

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