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# Is Integer N even?

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Senior Manager
Joined: 21 Jun 2004
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Is Integer N even? [#permalink]  11 Nov 2004, 17:19
Is Integer N even?

1.N*N=N
2.N=N^3

My question here is-Will you treat 0 as an even number.
As my understanding goes, 0 is neither an even number nor an odd number.
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510 on my first GMAT. 610 on second GMAT.!
The struggle continues.

GMAT Club Legend
Joined: 15 Dec 2003
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0 is even
0 is not positive nor negative

1- {0,1}
2- {0,1}
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Best Regards,

Paul

Senior Manager
Joined: 21 Jun 2004
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Paul agreed.

Tell me if the below statements are also true

a) 0 is an integer.
b) 0 is an even number.
c) Prime Numbers cannot be negative.

Well, DS is killing me....do u have any more fundamental rules to add here.
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510 on my first GMAT. 610 on second GMAT.!
The struggle continues.

GMAT Club Legend
Joined: 15 Dec 2003
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Kudos [?]: 216 [0], given: 0

Agree with all. I bet the question you posted was an old one from Stolyar Exponents and mods are his specialty. Some more fundas:

0^0 is undefined
0^x = 0
x^0 = 1
LCM(a,b) * GCD(a,b) = a*b
Sum of first n positive consecutive integers(you may know this by now): n(n+1)/2
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Best Regards,

Paul

Last edited by Paul on 13 Nov 2004, 23:35, edited 1 time in total.
Intern
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1. N=0,1; Hence, not A
2. N=-1,0,1; Hence, not B
Both are still not sufficient to determine a unique value of N. Hence (E).
CIO
Joined: 09 Mar 2003
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Paul wrote:
Sum of first n positive integers(you may know this by now): n(n+1)/2

I never thought about that one! Thanks, Paul.

Manager
Joined: 09 Sep 2004
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Paul wrote:
Sum of first n positive integers(you may know this by now): n(n+1)/2

Paul I am assuming here you also mean sum of consecutive integers. If so I think the average * number of terms is another of expressing the formula?! I am correct?
Director
Joined: 25 Jan 2004
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agree with E as well
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Praveen

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