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Is Integer N even?

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Senior Manager
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Is Integer N even? [#permalink] New post 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.:wall
As my understanding goes, 0 is neither an even number nor an odd number.
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 [#permalink] New post 11 Nov 2004, 17:30
0 is even
0 is not positive nor negative

Answer is E
1- {0,1}
2- {0,1}
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 [#permalink] New post 11 Nov 2004, 17:35
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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 [#permalink] New post 11 Nov 2004, 17:40
Agree with all. I bet the question you posted was an old one from Stolyar :wink: 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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Last edited by Paul on 13 Nov 2004, 23:35, edited 1 time in total.
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 [#permalink] New post 12 Nov 2004, 00:02
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).
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 [#permalink] New post 12 Nov 2004, 07:47
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.

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 [#permalink] New post 12 Nov 2004, 08:39
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? :? :?: :!:
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 [#permalink] New post 13 Nov 2004, 09:04
agree with E as well
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Praveen

  [#permalink] 13 Nov 2004, 09:04
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