Manhattan Challenge Problem of the week ! july 24

Is the positive integer x odd?

(1) x = y2 + 4y + 6, where y is a positive integer.

(2) x = 9z2 + 7z - 10, where z is a positive integer.

(A) Statement (1) ALONE is sufficient to answer the question, but statement (2) alone is not.
(B) Statement (2) ALONE is sufficient to answer the question, but statement (1) alone is not.
(C) Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient to answer the question.
(E) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question.

Answer - The correct answer is B.

For complete solution click on the link below.
Manhattan challenge problem