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# Is integer S even? (1) 2^|S|=S^2 (2) 2^|S|=|S|

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Is integer S even? (1) 2^|S|=S^2 (2) 2^|S|=|S| [#permalink]

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01 Jul 2004, 23:34
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Is integer S even?

(1) 2^|S|=S^2

(2) 2^|S|=|S|!
Intern
Joined: 10 Jun 2004
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02 Jul 2004, 01:28
I would say B

Stat 1: gives S= 2, -2, => not sufficient

Stat 2: gives S= 0, only value for which 2^|s| = |s|!= 1

hence stat 2 is alone sufficient, hence B
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Re: DS: a weird mix of exponents, moduls, and factorials [#permalink]

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02 Jul 2004, 01:57
stolyar wrote:
Is integer S even?

(1) 2^|S|=S^2

(2) 2^|S|=|S|!

(1) s=+-2, both are even since they are 2n, n - integer
(2) can be 0, which i also even

i vote for D.
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Re: DS: a weird mix of exponents, moduls, and factorials [#permalink]

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02 Jul 2004, 02:03
stolyar wrote:
Is integer S even?

(1) 2^|S|=S^2

(2) 2^|S|=|S|!

(1) s=+-2, both are even since they are 2n, n - integer
(2) can be 0, which i also even

i vote for D.

I think i am wrong about the first statement
2^|S|=S^2
for any S= +-(2^n) is true, n is positive integer.
2^4=4^2

and +-(2^n) is even.

am i right stolyar?
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02 Jul 2004, 02:20
(1) 2, -2, 4, -4
(2) 0

all are even; therefore, the answer is D.
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02 Jul 2004, 06:47
stolyar wrote:
(1) 2, -2, 4, -4
(2) 0

all are even; therefore, the answer is D.

oops ...
thanks stoylar,
02 Jul 2004, 06:47
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