This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 17 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 17 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Expand $\left(x+y^3\right)^4$ A) $x^4+4x^3y^3+6x^2y^6+4xy^9+y^{12}$. B) $x^4+x^3y^3+x^2y^6+xy^9+y^{12}$. C) $6x^4+15x^3y^3+20x^2y^6+15xy^9+6y^{12}$. D) $x^4+4x^3y^3+4x^2y^6+4xy^9+y^{12}$. Show Answer Correct Answer: A) $x^4+4x^3y^3+6x^2y^6+4xy^9+y^{12}$. 2. How many terms are the in the expansion of $\left(1+b\right)^5$ A) 5. B) 6. C) 25. D) 50. E) 3. Show Answer Correct Answer: B) 6. 3. $\frac{14}{8!-7!}=$ A) $14$. B) $\frac{2}{8!}$. C) $1$. D) $\frac{2}{7!}$. Show Answer Correct Answer: D) $\frac{2}{7!}$. 4. Find the sixth term of $\left(x-y\right)^9$ A) $126x^4y^5$. B) $-126x^4y^5$. C) $84x^5y^4$. D) $-126x^5y^4$. Show Answer Correct Answer: B) $-126x^4y^5$. 5. $83\times82\times81\times80\times79$ A) $\frac{83!}{78!}$. B) $\frac{83!}{79!}$. C) $\frac{78!}{83}$. D) $8378$. Show Answer Correct Answer: A) $\frac{83!}{78!}$. 6. Find the 5th term of the expansion:(x-2)$^{10}$ A) 3360x$^{6}$. B) -8064x$^{5}$. C) -960x$^{6}$. D) -8064x$^{6}$. Show Answer Correct Answer: A) 3360x$^{6}$. 7. What is the Binomial expansion of (x + 1)$^{5}$? A) X$^{5}$ + 5x$^{4}$ + 10x$^{3}$ + 10x$^{2}$ + 5x + 1. B) X$^{5}$ + 5x$^{4}$ + 15x$^{3}$ + 15x$^{2}$ + 5x + 1. C) X$^{5}$ + 6x$^{4}$ + 15x$^{3}$ + 15x$^{2}$ + 6x + 1. D) X$^{5}$ + 1. Show Answer Correct Answer: A) X$^{5}$ + 5x$^{4}$ + 10x$^{3}$ + 10x$^{2}$ + 5x + 1. 8. Find the 7th term of the expansion:(x-2)$^{10}$ A) 13440x$^{4}$. B) -15360x$^{3}$. C) -8064x$^{4}$. D) -15360x$^{4}$. Show Answer Correct Answer: A) 13440x$^{4}$. 9. Find the middle term in the expansion of $(2x-3)^4$ A) $-24x^2$. B) $54x^2$. C) $-108x^2$. D) $216x^2$. Show Answer Correct Answer: D) $216x^2$. 10. Complete the formula $a^3-b^3$ A) $\left(a-b\right)\left(a^2+ab+b^2\right)$. B) $\left(a+b\right)\left(a^2-ab+b^2\right)$. C) $\left(a-b\right)\left(a^2-ab+b^2\right)$. D) $\left(a+b\right)\left(a^2+ab+b^2\right)$. Show Answer Correct Answer: A) $\left(a-b\right)\left(a^2+ab+b^2\right)$. 11. Find the fourth term of the expansion (5+3y)$^{5}$. A) 2025y$^{4}$. B) 750y$^{3}$. C) 75y$^{4}$. D) 6750y$^{3}$. Show Answer Correct Answer: D) 6750y$^{3}$. 12. Find the element in Pascal's Triangle. 12th row and 5 element. A) 1. B) 495. C) 330. D) 792. Show Answer Correct Answer: D) 792. 13. Given $\left(3x-\frac{2}{3}y^2\right)^5$ A) $-\frac{80}{3}x^2y^6$. B) $-\frac{80}{3}x^2y^4$. C) $-\frac{80}{3}x^2y^2$. D) $-\frac{88}{3}x^2y^6$. Show Answer Correct Answer: A) $-\frac{80}{3}x^2y^6$. 14. What is the formula for combinations in mathematics? A) NCr = n! / r!(n-r)!. B) NCr = n! / r(n-r). C) NCr = n! / r. D) NCr = n! / r. Show Answer Correct Answer: A) NCr = n! / r!(n-r)!. 15. Find the 2nd term in the expansion of $\left(b+a\right)^4$ A) $4b^3a$. B) $4ba$. C) $4a^3b^3$. D) $4ab$. Show Answer Correct Answer: A) $4b^3a$. 16. Find the coefficient of the term $x^8y^3$ $\left(3x^2-2y^3\right)^5$ A) -811. B) -800. C) -810. D) -910. Show Answer Correct Answer: C) -810. 17. Expand (x-7)$^{2}$ A) X$^{2}$-14x + 49. B) -x$^{2}$-14x-49. C) X$^{2}$ + 14x-49. D) 49x$^{2}$. Show Answer Correct Answer: A) X$^{2}$-14x + 49. 18. Which of the following is the induction step in mathematical induction? A) Show that if the statement is true for the first k elements, then it is true for the (k+1)st element in the set. B) Show that the statement is true for the first few elements in the set. C) Show that your math problem is different from all other math problems. D) None of these are correct. Show Answer Correct Answer: A) Show that if the statement is true for the first k elements, then it is true for the (k+1)st element in the set. 19. $\left(4m-4m^3+m^2\right)-\left(m^3-5-2m\right)$ A) $-5m^3-2m^2+6m+9$. B) $-5m^3+m^2+6m+9$. C) $-5m^3-2m^2+m+9$. D) $-5m^3+m^2+6m+5$. Show Answer Correct Answer: D) $-5m^3+m^2+6m+5$. 20. How many terms are the in the expansion of (a+b)$^{5}$ A) 5. B) 6. C) 25. D) 50. E) 3. Show Answer Correct Answer: B) 6. 21. State the coefficient for the a$^{4}$b$^{2}$ term of (2a-3b)$^{6}$. A) -90. B) 2160. C) 15. D) -3240. Show Answer Correct Answer: B) 2160. 22. Find the 13th term of the geometric sequence:2, 6, 18, 54, ..... A) 1, 000, 000. B) 1, 062, 882. C) 123, 587. D) 5 bazillion. Show Answer Correct Answer: B) 1, 062, 882. 23. $Evaluate:\\sum_{j=-2}^2\left(n^{n+1}\right)$ A) $\frac{17}{2}$. B) $\frac{19}{4}$. C) $\frac{25}{4}$. D) $\frac{19}{2}$. Show Answer Correct Answer: D) $\frac{19}{2}$. 24. (7-5i)(7+5i) A) 74. B) 75. C) 74-1. D) None of the above. Show Answer Correct Answer: A) 74. 25. Expand Correctly (Using Pascal's Triangle) $\left(x-3y\right)^4$ A) $x^4-12x^3y+54x^2y^2-108xy^3+81y^4$. B) $x^4+12x^3y-54xy+108x^3y-81y^4$. C) $x^4+12x^3+54x^2y-108xy-81$. D) None of the above. Show Answer Correct Answer: A) $x^4-12x^3y+54x^2y^2-108xy^3+81y^4$. ← PreviousNext →Related QuizzesClass 11 Mathematics Chapter 8 Binomial Theorem Quiz 1Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 2Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 3Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 4Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 5Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 6Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 7Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 8Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 9Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 10 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books