Binomial Theorem MCQs 18 min Score: 0 Attempted: 0/18 Subscribe 1. Third term of (x + y)⁴ is: (A) 4x²y² (B) 4x³y (C) 6x²y² (D) 6x³yShow All Answers 2. The number of terms in the expansion (a + b)¹³ are: (A) 12 (B) 13 (C) 14 (D) 15Show All Answers 3. The value of nCr is: (A) n! / (r!(n–r)!) (B) n / (r(n–r)) (C) n! / r!(n–r) (D) n! / (n–r)!Show All Answers 4. The second last term in the expansion of (a + b)⁷ is: (A) 7a⁶b (B) 7ab⁶ (C) 7b⁷ (D) 15Show All Answers 5. ⁶C₄ will have the value: (A) 10 (B) 15 (C) 20 (D) 25Show All Answers 6. ³C₀ will have the value: (A) 0 (B) 1 (C) 2 (D) 3Show All Answers 7. In the expansion of (a + b)ⁿ the general term is: (A) nCr a^(n–r) b^r (B) n–rCr a^r b^(n–r) (C) n–r+1Cr–1 a^(n) b^(r–1) (D) n–r–1Cr–1 a^(n) b^rShow All Answers 8. In the expansion of (a + b)ⁿ the term n–rCr a^(n–r) b^r will be: (A) nth term (B) rth term (C) (r+1)th term (D) None of theseShow All Answers 9. In the expansion of (a + b)ⁿ the rth term is: (A) nCr a^(n–r) b^r (B) nC(n–r) a^r b^(n–r) (C) nC(n–r+1) a^(n) b^(r–1) (D) nC(n–r–1) a^(n) b^(r–1)Show All Answers 10. In the expansion of (1 + x)ⁿ the coefficient of 3rd term is: (A) nC₀ (B) nC₁ (C) nC₂ (D) nC₃Show All Answers 11. In the expansion of (a + b)ⁿ the sum of the exponents of a and b in any term is: (A) n (B) n–1 (C) n+1 (D) None of theseShow All Answers 12. The middle term in the expansion of (a + b)⁶ is: (A) 15a⁴b² (B) 20a³b³ (C) 15a²b⁴ (D) 6ab⁵Show All Answers 13. The value of nCn is equal to: (A) 0 (B) 1 (C) n (D) –nShow All Answers 14. The expansion of (1 + x)⁻¹ is: (A) 1 – x + x² – x³ + … (B) 1 + x – x² + x³ – … (C) 1 + x + x²/2! + x³/3! + … (D) 1 – x + x²/2! – x³/3! + …Show All Answers 15. The expansion of (1 – x)⁻¹ is: (A) 1 + x + x² + x³ + … (B) 1 + x – x² + x³ – … (C) 1 + x + x²/2! – x³/3! + … (D) 1 – x + x² – x³ + …Show All Answers 16. Binomial series for (1 + x)ⁿ is valid only when: (A) x < 1 (B) x < –1 (C) |x| < 1 (D) None of theseShow All Answers 17. The value of ²ⁿCₙ is: (A) (2n)! / (n! n!) (B) (2n)! / (n! n!) (C) (2n)! / n! (D) (2n)! / [n(n–1)!]Show All Answers 18. The middle term of (4x – y)⁴ is: (A) 6 (4x)²y² (B) 6 (C) 8 (D) 4xyShow All Answers
