Is (a+b)^2+(a+b)^3 even? (1) a and b are positive. (2) a>b.

Correct Answer is : Either statement BY ITSELF is sufficient to answer the question.

Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

Either statement BY ITSELF is sufficient to answer the question.

Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

GMAT Quantitative Reasoning Practice Test 7

Question : 90 of 100

Marks: +1, -0

(a+b)^2+(a+b)^3

even?
(1)

a

and

b

are positive.
(2)

a>b

Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.
Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.
Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.
Either statement BY ITSELF is sufficient to answer the question.
Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question, requiring more data pertaining to the problem.

Solution:

Each statement alone is sufficient since there are only three possibilities:
(1)

a

and

b

are even.
(2)

a

and

b

are both odd.
(3) One is odd and the other is even.
Any of the options give us an even result, thus, the expression is always even.

Go to Question:

Prev Question

Next Question