This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 3 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 3 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If p (n) is a proposition about a positive integer n such that p (n) is true for n = 1 and p (n) is true for n = k whenever P (n) is true for any positive integer n = K + 1, p (n ) is true for every positive integer n, this principle is called principle of A) Mathematical induction. B) Mathematical deduction. C) Logic used. D) None of these. Show Answer Correct Answer: A) Mathematical induction. 2. If $^{n+1}$P5:$^{n}$C6= 2:7 then the values of 'n' is A) 13. B) 11. C) 15. D) 17. Show Answer Correct Answer: B) 11. 3. Find the Z-score.Mean = 22Standard Deviation:3.1x = 29 A) 2.26. B) 16.45. C) -2.26. D) 1.26. Show Answer Correct Answer: A) 2.26. 4. $\left(n^3-3n-5n^2\right)+\left(n^2+3+2n^3\right)$ A) $-n^3-4n^2+n+3$. B) $3n^3-4n^2+n+3$. C) $2n^3-4n^2+n+3$. D) $3n^3-4n^2-3n+3$. Show Answer Correct Answer: D) $3n^3-4n^2-3n+3$. 5. If $n_{c_4}$ A) 210. B) 10. C) 6. D) 4. Show Answer Correct Answer: B) 10. 6. Find the constant term in $\left(x+\frac{1}{x}\right)^{10}$ A) $252$. B) $210$. C) $45$. D) $120$. Show Answer Correct Answer: A) $252$. 7. Coefficient of $x^{-3}$ $\left(x+\frac{1}{x^2}\right)^9$ A) 126. B) 125. C) 126x. D) $125x^2$. Show Answer Correct Answer: A) 126. 8. Simplify:3x$^{3}$(2x$^{2}$ + 9x + 6) A) 6x$^{5}$ + 27x$^{4}$ + 18x. B) 6x$^{5}$ + 18x$^{2}$ + 9. C) 6x$^{5}$ + 27x$^{4}$ + 18x$^{3}$. D) 6x$^{5}$ + 45x$^{3}$. Show Answer Correct Answer: C) 6x$^{5}$ + 27x$^{4}$ + 18x$^{3}$. 9. Use the Binomial Theorem to expand $(x + 2)^3$ A) $x^3 + 6x^2 + 12x + 8$. B) $x^3 + 3x^2 + 6x + 8$. C) $x^3 + 6x^2 + 6x + 8$. D) $x^3 + 3x^2 + 3x + 8$. Show Answer Correct Answer: A) $x^3 + 6x^2 + 12x + 8$. 10. Determine the first three terms in the expansion of $\left(1-2x\right)^5\cdot\left(1+x\right)^7$ A) $1+3x-9x^2+ $. B) $1-3x-9x^2+ $. C) $1-3x+9x^2+ $. D) $1+3x+9x^2+ $. Show Answer Correct Answer: B) $1-3x-9x^2+ $. 11. What is the degree of the following polynomial?x$^{3 }$+ y$^{2}$x$^{2 }$+ x$^{7}$y$^{7 }$+ x$^{8}$ A) 14. B) 8. C) 4. D) 3. Show Answer Correct Answer: A) 14. 12. $\frac{4x}{x-5}-\frac{3}{x-6}$ A) $\frac{4x^2-27x+15}{\left(x-6\right)\left(x-5\right)}$. B) $\frac{4x-3}{2x+1}$. C) $\frac{4x^2-27x+21}{\left(x-6\right)\left(x-5\right)}$. D) $\frac{4x^2+21x+15}{\left(x-5\right)\left(x+6\right)}$. Show Answer Correct Answer: A) $\frac{4x^2-27x+15}{\left(x-6\right)\left(x-5\right)}$. 13. What is the value of 7C6 in Pascal's triangle? A) 42. B) 28. C) 21. D) 35. Show Answer Correct Answer: B) 28. 14. Find the 3rd term in the expansion of $(3x-4y)^3$ A) A. $144xy^2$. B) $27x^3$. C) $-64y^3$. D) $-36x^2y$. E) $-144x^2y$. Show Answer Correct Answer: A) A. $144xy^2$. 15. Factor (64x$^{10}$ + 81) A) (32x$^{5}$$^{}$ + 9)(32x$^{5}$-9). B) (8x + 9)(8x-9). C) (8x + 9i)(8x-9i). D) (32x + 9i)(32x-9i). Show Answer Correct Answer: C) (8x + 9i)(8x-9i). 16. Find the coefficient of x$^{3}$ in the expansion of (1 + x)$^{20}$ A) 1140. B) 190. C) 4845. D) 8000. Show Answer Correct Answer: A) 1140. 17. If n is even, then middle term in the expansion (x +y)$^{n}$ is A) (n+1) th term. B) N/2 term. C) (n/2)+1 term. D) (n+1)/2 and (n+3)/2 terms. Show Answer Correct Answer: C) (n/2)+1 term. 18. Factor $27x^3-64$ A) $\left(3x-4\right)\left(9x^2+12x+16\right)$. B) $\left(3x-4\right)\left(9x^2-12x+16\right)$. C) $\left(3x+4\right)\left(9x^2+12x+16\right)$. D) $\left(3x+4\right)\left(9x^2+12x+16\right)$. Show Answer Correct Answer: A) $\left(3x-4\right)\left(9x^2+12x+16\right)$. 19. Factor 2x$^{3}$ + 128 A) 2(x$^{3}$ + 64). B) (x + 4)(x$^{2}$-4x + 16). C) 2(x-4)(x$^{2}$ + 4x + 16). D) 2(x + 4)(x$^{2}$-4x + 16). Show Answer Correct Answer: D) 2(x + 4)(x$^{2}$-4x + 16). 20. Find the sum of the coefficients in the expansion of $(2x-1)^5$ A) 0. B) 1. C) 32. D) 243. Show Answer Correct Answer: A) 0. 21. Expand completely. $\left(2n+m\right)^3$ A) $32n^3+24n^2m+8nm^2+m^3$. B) $8n^3+12n^2m+6nm^2+m^3$. C) $8n^3+12n^2m+6nm^2+m^3$. D) $40n^3+40n^2m+20nm^2+5m^3$. Show Answer Correct Answer: B) $8n^3+12n^2m+6nm^2+m^3$. 22. If you were to flip a coin 20 times, what is the probability you would get exactly 10 heads? A) 50%. B) 17.62%. C) 58.81%. D) 41.19%. Show Answer Correct Answer: B) 17.62%. 23. What is the first term of $\left(2r-s\right)^8$ A) $64r$. B) $64r^8$. C) $256r^8$. D) $128r^8$. Show Answer Correct Answer: C) $256r^8$. 24. If $^{n}$P7= 42 $^{n}$P5, then the value of 'n' is A) 10. B) 11. C) 13. D) 12. Show Answer Correct Answer: D) 12. 25. Find term 6 in (x+8)$^{12}$ A) 792x$^{7}$. B) 25952256x$^{7}$. C) 6336x. D) 30277632x$^{6}$. Show Answer Correct Answer: B) 25952256x$^{7}$. ← 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 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 10Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books