Is X even? (1) X^3 + X^2 = 0 (2) X^2 + |X| = 0 : DS Archive
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# Is X even? (1) X^3 + X^2 = 0 (2) X^2 + |X| = 0

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Is X even? (1) X^3 + X^2 = 0 (2) X^2 + |X| = 0 [#permalink]

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15 Jun 2004, 21:59
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Is X even?

(1) X^3 + X^2 = 0

(2) X^2 + |X| = 0
Senior Manager
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16 Jun 2004, 00:27
HI

Is X even?

(1) X^3 + X^2 = 0

(2) X^2 + |X| = 0

Stmnt A - there can be 2 values of X, which are 0 and -1 - Not sufficient.
Stmnt B - There can be only value of X which is 0, no other value satisfies.- Hence sufficient.

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16 Jun 2004, 05:40
stolyar wrote:
Is X even?

(1) X^3 + X^2 = 0

(2) X^2 + |X| = 0

1 is not suff. (-1 is the example)

2 is suff. (0 is the only solution to this equation)...

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23 Jun 2004, 20:05
The first statement although yields two results still answers the question, 0 and -1 are not evenand statement 2 0 is not even.
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24 Jun 2004, 06:52
Maneesh wrote:
The first statement although yields two results still answers the question, 0 and -1 are not evenand statement 2 0 is not even.

No, 1st statement yields 2 answers: -1 and 0, which are not equivalent if we consider their remainders by 2. Therefore, on the basis of 1 it can't be figured out what is satisfied...
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25 Jun 2004, 03:27
I am still confused, Emmanuel, does not the first and second statement answer the question of even and odd, although two results are obtained from the first statement.
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25 Jun 2004, 03:29
Maneesh wrote:
I am still confused, Emmanuel, does not the first and second statement answer the question of even and odd, although two results are obtained from the first statement.

It would have answered if the 2 results were 0 and 2, or 3 and 1, respectively. I.e., it would have answered if the 2 results were both odd or both even... But 0 and -1 are NOT BOTH odd or integer.
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25 Jun 2004, 05:27
Hello Manish

0 is considered as even (am i right guys)?.
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25 Jun 2004, 05:43
carsen wrote:
Hello Manish

0 is considered as even (am i right guys)?.

Of course, 0 is considered even number. 0. -2, -4, -6, -8, etc. are all even integers.
25 Jun 2004, 05:43
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