C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.. From (1) x = 6 - y. Substitute into 3x+2y > 15 gives 3(6-y)+2y > 15 => 18-y > 15 => y 4. If x=5, y=0, then 3(5)+2(0)=15 (NO). If x=5, y=1, then 3(5)+2(1)=17 (YES). Not sufficient. Together: If x=5, then y=1 from (1). Then 3(5)+2(1)=17, which is >15. Sufficient.

Is 3x + 2y > 15?

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 BOTH statements TOGETHER are NOT sufficient, and NEITHER statement ALONE is sufficient.

✓ Correct Answer: Option C

From (1) x = 6 - y. Substitute into 3x+2y > 15 gives 3(6-y)+2y > 15 => 18-y > 15 => y < 3. Not sufficient. From (2) x > 4. If x=5, y=0, then 3(5)+2(0)=15 (NO). If x=5, y=1, then 3(5)+2(1)=17 (YES). Not sufficient. Together: If x=5, then y=1 from (1). Then 3(5)+2(1)=17, which is >15. Sufficient.

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Is 3x + 2y > 15?

✓ Correct Answer: Option C

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