Correct Answer - Option 3 : 2717

**Given:**

(p + q) = 11

pq = – 42

**Concept: **

⇒ a^{3} + b^{3} = (a + b)^{3} – 3ab × (a + b)

**Calculation:**

According to the question,

⇒ p^{3} + q^{3} = (p + q)^{3} – 3pq × (p + q)

⇒ p^{3} + q^{3} = 11^{3} – 3 × (- 42) × 11

⇒ p^{3} + q^{3} = 1331 + 1386

⇒ p^{3} + q^{3} = 2717