This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 16 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 16 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. If the fourth term of the binomial expansion of (px+(1/x))$^{n}$ is 5/2, then A) N=6, p=6. B) N=8, p=6. C) N=8, p= 1/2. D) N=6, p=1/2. Show Answer Correct Answer: D) N=6, p=1/2. 2. If 5th term in the expansion of $(y+\frac{2}{y^2})^n$ A) 12. B) 11. C) 13. D) 10. Show Answer Correct Answer: A) 12. 3. Expand(b-2)$^{3}$ A) B$^{3}$-2b$^{2}$ + 4b-8. B) 5b$^{3}$-20b$^{2}$ + 40b-40. C) B$^{3}$-6b$^{2}$ + 12b-8. D) 4b$^{3}$-12b$^{2}$ + 16b-8. Show Answer Correct Answer: C) B$^{3}$-6b$^{2}$ + 12b-8. 4. Find the next three terms:3, -18, 108, -648 A) -6480, -3880, -233280. B) 6480, -38880, 233280. C) 5184, -31104, 186624. D) 3888, -23328, 139968. Show Answer Correct Answer: D) 3888, -23328, 139968. 5. What is the 2nd term in the expansion of (3u + 2)$^{4}$ A) 4u$^{3}$. B) 24u$^{3}$. C) 72u$^{3}$. D) 216u$^{3}$. Show Answer Correct Answer: D) 216u$^{3}$. 6. Find the term containing $y^3$ $\left(y+2\right)^4$ A) $12y^3$. B) $8y^3$. C) $24y^3$. D) $32y^3$. Show Answer Correct Answer: B) $8y^3$. 7. Expand:$\left(x+2\right)^4$ A) $x^4+8x^3+24x^2+32x+16$. B) $x^4+8x^3+16x^2+32x+16$. C) $x^4+8x^3+16x^2+24x+16$. D) $x^4+8x^3+32x^2+16x+16$. Show Answer Correct Answer: A) $x^4+8x^3+24x^2+32x+16$. 8. When will you have imaginary components in your factors? A) Difference of squares (Two terms with a-between them.). B) Sum of squares (two terms with a + between them). C) Three terms with a + then-. D) Three terms with two-signs. Show Answer Correct Answer: A) Difference of squares (Two terms with a-between them.). 9. If n is odd, then middle termin 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: D) (n+1)/2 and (n+3)/2 terms. 10. Expand $\left(2x-y\right)^3$ A) $8x^3-12x^2y+6xy^2-y^3$. B) $8x^3-y^3$. C) $\left(4x^2-y^2\right)\left(2x-y\right)$. D) $8x^3-2x^3y-2xy^3+y^3$. Show Answer Correct Answer: A) $8x^3-12x^2y+6xy^2-y^3$. 11. If the co-efficient of $x^{30}$ $(ax^5+\frac{1}{x^3})^6$ A) 6. B) 1. C) 5. D) $\frac{1}{6}$. Show Answer Correct Answer: B) 1. 12. What is the second term in the expansion (2+3x)$^{7}$? A) 1344x. B) 6048x. C) 128. D) 1344. Show Answer Correct Answer: A) 1344x. 13. Find the z-score value corresponding if the location is below the mean by 2 standard deviations A) +2.00. B) -2.00. C) +1.25. D) -1.00. Show Answer Correct Answer: B) -2.00. 14. A collection of items in which order is not important because no matter the order once the combination is used it cannot be repeated. A) Combination. B) Pascal's Triangle. C) Binomial Theorem. D) Permuation. Show Answer Correct Answer: A) Combination. 15. Which of the following is the correct way to rewrite $\frac{3x^2 + 7x + 5}{x + 2}$ A) $3x + 1 + \frac{3}{x + 2}$. B) $3x + 1 + \frac{7}{x + 2}$. C) $3x + 1 + \frac{5}{x + 2}$. D) $3x + 7 + \frac{5}{x + 2}$. Show Answer Correct Answer: A) $3x + 1 + \frac{3}{x + 2}$. 16. The value of k, for which the coefficient of $x^2$ $x^3$ $\left(3+kx\right)^9$ A) $\frac{3}{7}$. B) $\frac{7}{9}$. C) $\frac{9}{7}$. D) $\frac{7}{3}$. Show Answer Correct Answer: C) $\frac{9}{7}$. 17. Is the sequence geometric or arithmetic?3, 6, 9, 12 ..... A) Arithmetic. B) Geometric. C) Neither. D) None of the above. Show Answer Correct Answer: A) Arithmetic. 18. Around 1665 Sir who came up with a "general" version of the formula that is not limited to exponents of 0, 1, 2, ..... I hope to write about that one day. A) Isaac Newton. B) Lewis Latimer. C) Thomas Eddison. D) None of the above. Show Answer Correct Answer: A) Isaac Newton. 19. Factor using sum/difference of cubes. $a^3+b^3$ 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: B) $\left(a+b\right)\left(a^2-ab+b^2\right)$. 20. Which row of Pascal's Triangle would you use to expand (x+2)$^{3}$? A) 1. B) 1 1. C) 1 2 1. D) 1 3 3 1. Show Answer Correct Answer: D) 1 3 3 1. 21. Factor x$^{3}$-343 A) (x + 7) (x$^{2}$-7x + 49). B) (x$^{2}$ + 1) (x-343). C) (x-7) (x$^{2}$ + 7x + 49). D) (x$^{2}$-343) (x + 1). Show Answer Correct Answer: C) (x-7) (x$^{2}$ + 7x + 49). 22. Which row in Pascal's Triangle would you use to expand this binomial? $\left(x-2\right)^3$ A) Row 6. B) Row 2. C) Row 5. D) Row 3. Show Answer Correct Answer: D) Row 3. 23. $_{12}$C$_{3}$ A) 0. B) 1. C) 220. D) 1140. Show Answer Correct Answer: C) 220. 24. What would be the 6th term of the expansion of (m-3)$^{5}$? A) M$^{5}$. B) -243. C) -244. D) 405m. Show Answer Correct Answer: B) -243. 25. Consider the expansion of $\left(3x^2-\frac{1}{x}\right)^9.$ A) 756. B) 759. C) 2265. D) 2268. Show Answer Correct Answer: D) 2268. ← 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