Lombards wrote:

**Quote:**

Is integer N even?

1) N^2=N

2)N=N^3

Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient

Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient

EACH statement ALONE is sufficient

Statements (1) and (2) TOGETHER are NOT sufficient

Statement (1) by itself is insufficient.

Statement (2) by itself is insufficient.

Statements (1) and (2) combined are insufficient. We know from S1 that the value of can be either 0 or 1. From S2, we have 1,0,-1 as possible values of . Combining the two statements does not tell us if is an even integer.

The correct answer is E.

Test 4, Question 2:

The question asks to find out if from the 1 or 2 we can tell that N is even.

my logic if the only numbers that fit into 1 or 2 are -1,0,1 = I can determine that N is not even> I have enough info to state if it is even or not.

what is the logics behind the answer provided?

Statement 1: N^2= N. There are 2 numbers that satisfy this condition: 0, 1. Zero is even. 1 is odd. two different answers. Insufficient.

Statement 2: N^3= N: There are 3 numbers that satisfy this condition: 0, 1 and -1. 0 is even, 1 and -1 are odd.. Impossible to determine which one to pick. Insufficient.

1&2, No new information can be obtained by combining the sentences. Insufficient.

Answer E.

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