Question

X, Y and Z are integers. Is X an odd number?
(1) An odd number is obtained when X is divided by 5.
(2) (X + Y) is an odd number

• A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient
• B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient
• C. BOTH statements TOGETHER are sufficient, but NEITHER statement alone is sufficient
• D. Statements (1) and (2) TOGETHER are NOT sufficient

Answer 1

The correct option is A Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient

(I) ⇒⇒ It is sufficient to answer the question because any odd number is divided by any odd number, it gives an odd number.
(2) ⇒⇒ Either X or Y is odd ⇒⇒ X may be odd or not.
∴∴ Statement (2) is not sufficient.