This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 20 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 20 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Describe the signs ( + and-) in the expanded form of (x-3)$^{4}$ . A) All +. B) All-. C) Alternating ending in +. D) Alternating ending in-. Show Answer Correct Answer: C) Alternating ending in +. 2. What kind of sequence is illustrated below? 16, 8, 4, 2, ..... A) Recursive. B) Arithmetic. C) Geometric. D) None of the Above. Show Answer Correct Answer: C) Geometric. 3. Fin the coefficient of the term in $x^2$ $\left(x^2+\frac{1}{x^3}\right)^6$ A) 6. B) 10. C) 15. D) 20. E) 30. Show Answer Correct Answer: C) 15. 4. Does this sequence converge or diverge? $\left\{\frac{10n-6}{2n-3}\right\}$ A) Converges to 0. B) Converges to 2. C) Converges to 5. D) Diverges. Show Answer Correct Answer: C) Converges to 5. 5. A geometric sum has g$_{2}$=18 and g$_{5}$=486. Find the sum of the first 9 terms. A) 1, 536. B) 59, 046. C) 177, 156. D) None of these. Show Answer Correct Answer: B) 59, 046. 6. Factor. $216x^3+125$ A) $6\left(x+5\right)^3$. B) $\left(6x+5\right)^3$. C) $\left(6x+5\right)\left(6x^2-30x+25\right)$. D) $\left(6x+5\right)\left(36x^2-30x+25\right)$. Show Answer Correct Answer: D) $\left(6x+5\right)\left(36x^2-30x+25\right)$. 7. Expand $\left(x-y\right)^4$ A) $x^4-4x^3y+6x^2y^2-4xy^3+y^4$. B) $x^4+4x^3+6x^2+4x+1$. C) $x^4+4x^3y^3+6x^2y^2+4xy+1$. D) $x^4+4x^3y+6x^2y^2+4xy^3+y^4$. Show Answer Correct Answer: A) $x^4-4x^3y+6x^2y^2-4xy^3+y^4$. 8. Which row of Pascal's Triangle would you use to expand $\left(x+y\right)^3$ A) 1. B) 1 1. C) 1 2 1. D) 1 3 3 1. Show Answer Correct Answer: D) 1 3 3 1. 9. Which row of Pascal's Triangle would you use to expand (x+y)$^{6}$? A) 1 6 15 20 15 6 1. B) 1 6 15 6 1. C) 1 6 10 10 6 1. D) 1 6 15 20 20 15 6 1. Show Answer Correct Answer: A) 1 6 15 20 15 6 1. 10. 1 kilometer is equal to (a) meters. A) A. 1000 meters. B) 500 meters. C) 1500 meters. D) 2000 meters. Show Answer Correct Answer: A) A. 1000 meters. 11. Find the 2nd term in expansion of (3b + 4a)$^{4}$. A.APR.5 A) 432b$^{3}$a. B) 81b$^{4}$. C) 864b$^{2}$a$^{2}$. D) 435b$^{3}$a. Show Answer Correct Answer: A) 432b$^{3}$a. 12. Row 4 on pascal triangle A) 1. B) 11. C) 121. D) 1331. E) 14641. Show Answer Correct Answer: E) 14641. 13. Find the 6th term of the expansion:(4x-9)$^{5}$ A) 131220. B) -59049x. C) 131220x. D) -59049. Show Answer Correct Answer: D) -59049. 14. Find the 3rd term in the expansion of $\left(2y+x\right)^4$ A) $48y^2x^2$. B) $24y^2x$. C) $24yx$. D) $24y^2x^2$. Show Answer Correct Answer: D) $24y^2x^2$. 15. The coefficient of x$^{3}$y$^{4}$ in (2x+3y$^{2}$)$^{5}$ is A) 360. B) 720. C) 240. D) 1080. Show Answer Correct Answer: B) 720. 16. How many terms are in this expansion? A) 5. B) 6. C) 25. D) 50. E) 3. Show Answer Correct Answer: B) 6. 17. At a company, the data set containing the ages of applicants for a particular job was 30 years old, and the standard deviation of the data set was 3.5 years. Which is closest to the percent of applicants that were 21 years old or younger? A) 0.5%. B) 2.0%. C) 2.57%. D) 9.0%. Show Answer Correct Answer: A) 0.5%. 18. (4x-y$^{2}$)$^{4}$ A) 256x$^{4}$-64x$^{3}$y$^{2}$ + 16x$^{2}$y$^{4}$-4xy$^{6}$ + y$^{8}$. B) 256x$^{4}$-256x$^{3}$y$^{2}$ + 96x$^{2}$y$^{4}$-20xy$^{6}$-4y$^{8}$. C) All the above. D) None of the above. Show Answer Correct Answer: A) 256x$^{4}$-64x$^{3}$y$^{2}$ + 16x$^{2}$y$^{4}$-4xy$^{6}$ + y$^{8}$. 19. Identify the leading coefficient in the polynomial.7x$^{2}$+4x-5x$^{6}$$^{}$-15 A) 7. B) 4. C) -15. D) -5. Show Answer Correct Answer: D) -5. 20. For a certain type of computer, the length of time between charges of the battery is normally distributed with a mean of 50 hours and a standard deviation of 15 hours. John owns one of these computers and wants to know the probability that the length of time will be between 50 and 70 hours. A) 0.9082. B) 0.8989. C) 0.5000. D) 0.4087. Show Answer Correct Answer: D) 0.4087. 21. What is the second term of $\left(3x-y\right)^5$ A) $243x^2y^2$. B) $243x^4y$. C) $243x^4$. D) $81x^4y$. Show Answer Correct Answer: B) $243x^4y$. 22. How many terms would be in the expanded form of (x-3)$^{5}$? A) 5. B) 6. C) 7. D) 8. Show Answer Correct Answer: B) 6. 23. To complete the 23th degree binomial expansion, which row of pascal's triangle would you need to use? A) 23rd. B) The triangle doesn't go that high. C) 24th. D) 22ndTagsAII.9-12.7.BP.9-12.5.F. Show Answer Correct Answer: A) 23rd. 24. Find the coefficient of $y^2$ $\left(y-2\right)^5$ A) 80. B) -80. C) -320. D) 320. Show Answer Correct Answer: B) -80. 25. $\left(x+3y\right)^5$ A) $405x^5y^5$. B) $405xy$. C) $405xy^5$. D) $-405xy$. Show Answer Correct Answer: C) $405xy^5$. ← 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