Is X even? (1) X^3 + X^2 = 0 (2) X^2 + |X| = 0

Question

Is X even?

(1) X^3 + X^2 = 0

(2) X^2 + |X| = 0

carsen · Answer

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.

B is the answer.

Emmanuel · Answer

1 is not suff. (-1 is the example)

2 is suff. (0 is the only solution to this equation)...

B is the answer.

Maneesh · Answer

D should be the answer
The first statement although yields two results still answers the question, 0 and -1 are not evenand statement 2 0 is not even.

Emmanuel · Answer

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...

Maneesh · Answer

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.

Emmanuel · Answer

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.

carsen · Answer

Hello Manish

0 is considered as even (am i right guys)?.
Hence B is the answer.

Emmanuel · Answer

Of course, 0 is considered even number. 0. -2, -4, -6, -8, etc. are all even integers.

Is X even? (1) X^3 + X^2 = 0 (2) X^2 + |X| = 0

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards