This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 5 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 5 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. 7r$^{3}$-8r$^{2}$+42r-48 A) (r$^{2}$+6)(7r+8). B) (r$^{2}$+6)(7r-8). C) (r$^{2}$+6)(r$^{2}$+8). D) (r$^{2}$+6)(7r+6). Show Answer Correct Answer: B) (r$^{2}$+6)(7r-8). 2. Find the third term in the expansion of $\left(4y-x\right)^4$ A) $91y^2x^2$. B) $96y^2x^2$. C) $-16yx^3$. D) $95y^2x^2$. Show Answer Correct Answer: B) $96y^2x^2$. 3. Find the coefficient of x$^{3 }$in the expansions of (x + 2)$^{5}$. A) 40. B) 35. C) 30. D) 25. Show Answer Correct Answer: A) 40. 4. Kamali has 6 unique bracelets and is trying to decide which 3 to wear on a date. Use Pascal's Triangle to find the number of different combinations of 3 bracelets that Kamali could choose from the6 she owns? A) 1. B) 6. C) 15. D) 20. Show Answer Correct Answer: D) 20. 5. Through $\left(3x-\frac{2}{3}y^2\right)^5$ $xy^8$ A) $\frac{80}{28}$. B) $\frac{80}{27}$. C) $\frac{88}{27}$. D) $\frac{85}{27}$. Show Answer Correct Answer: B) $\frac{80}{27}$. 6. How many ways can 8 cheerleaders be chosen for 3 positions on the cheer team? A) 24. B) 56. C) 128. D) 336. Show Answer Correct Answer: B) 56. 7. What number can always be found at the left side of the triangle? A) 0. B) 1. C) 2. D) 3. E) 4. Show Answer Correct Answer: B) 1. 8. What is the 14th term of the geometric sequence?3, 9, 27, 81, ..... A) 14, 348, 907. B) 4, 782, 969. C) 1, 594, 323. D) 45. Show Answer Correct Answer: B) 4, 782, 969. 9. Which of the following is the correct formula in calculating the binomial coefficient in a binomial expansion? A) $nCr=\frac{n!}{\left(n-r\right)!r!}$. B) $nCr=\frac{r!}{\left(r-n\right)!n!}$. C) $nCr=\frac{n!}{\left(n-r\right)!n!}$. D) $nCr=\frac{r!}{\left(n-r\right)!r!}$. Show Answer Correct Answer: A) $nCr=\frac{n!}{\left(n-r\right)!r!}$. 10. Factor 10+20n A) 10(1+2n). B) N(1+2n). C) 10(5+10n). D) 10n(1+n). Show Answer Correct Answer: A) 10(1+2n). 11. The coefficient of y$^{4}$ in th expansion of (y$^{4}$+3)$^{3}$ A) 27. B) 26. C) 9. D) 25. Show Answer Correct Answer: A) 27. 12. Find term 6 in row 9 A) 9. B) 36. C) 126. D) 84. Show Answer Correct Answer: D) 84. 13. Which row of the Pascal's Triangle is the number 6 first found in? A) 3rd. B) 4th. C) 5th. D) 6th. E) 2nd. Show Answer Correct Answer: C) 5th. 14. $\frac{\frac{x+1}{x^2}}{\frac{1}{x}+\frac{x+1}{x}}$ A) $\frac{\frac{x+1}{x^2}}{\frac{x+2}{x}}$. B) $\frac{x+1}{x\left(x+2\right)}$. C) $\frac{2x+2}{x\left(x+2\right)}$. D) $\frac{1}{x}$. Show Answer Correct Answer: B) $\frac{x+1}{x\left(x+2\right)}$. 15. If n is even in the expansion of (a+b)$^{n}$, the middle term is: A) N$^{th}$ term. B) (n/2)$^{th}$ term. C) [(n/2)-1]$^{th}$ term. D) [(n/2)+1]$^{th}$ term. Show Answer Correct Answer: D) [(n/2)+1]$^{th}$ term. 16. In how many ways can you arrange the letters of the word EDUCATION such that the vowels are always together? A) 120 ways. B) 14400 ways. C) 362880 ways. D) 6547234 ways. Show Answer Correct Answer: B) 14400 ways. 17. From $\left(x^2-2y\right)^7$ A) $566x^6y^4$. B) $550x^6y^5$. C) $560x^6y^4$. D) $560x^4y^6$. Show Answer Correct Answer: C) $560x^6y^4$. 18. Expand $\left(x-7\right)^2$ 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. 19. If 1 1 is first row, 1 2 1 is second row then what is 4$^{th}$$^{}$ row? A) 1 2 3 4 3 2 1. B) 1 5 7 5 1. C) 1 4 6 4 1. D) 1 4 10 4 1. Show Answer Correct Answer: C) 1 4 6 4 1. 20. Use Pascal's Triangle to find the 4th term in the expansion of (4x-3)$^{5}$. A) 5760. B) -4320x$^{2}$. C) 5760x$^{3}$. D) -4320. Show Answer Correct Answer: B) -4320x$^{2}$. 21. Multiply. $-3x^2\left(7x^2-x+4\right)$ A) $-21x^4+3x^3-12x^2$. B) $^{ }$ $7x^2-x+4\left(-3x^2\right)$. C) $21x^4+3x^3+12x^2$. D) $-21x^2+3x^3-21x^4$. Show Answer Correct Answer: A) $-21x^4+3x^3-12x^2$. 22. Select the correct expansion of(1-x)$^{5}$ A) 1-5x + 10x$^{2}$-10x$^{3}$ + 5x$^{4}$-x$^{5}$. B) 1 + 5x + 10x$^{2}$ + 10x$^{3}$ + 5x$^{4}$ + x$^{5}$. C) -1 + 5x-10x$^{2}$ + 10x$^{3}$-5x$^{4}$ + x$^{5}$. D) 1-5x + 10x$^{2}$ + 10x$^{3}$ + 5x$^{4}$-x$^{5}$. Show Answer Correct Answer: A) 1-5x + 10x$^{2}$-10x$^{3}$ + 5x$^{4}$-x$^{5}$. 23. The sign of the z-score indicates whether the location is above(positive) or below(negative) the mean. A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. 24. If the coefficients of $x^7$ $x^8$ $(2+\frac{x}{3})^n$ A) 56. B) 55. C) 45. D) 15. Show Answer Correct Answer: B) 55. 25. Heavy rain in Brieanne's town caused the river to rise. The river rose three inches the first day, andeach day after rose twice as much as the previous day. How much did the river rise in five days? A) The river rose 93 inches in 5 days. B) The river rose 96 inches in 5 days. C) The river rose 32 inches in 5 days. D) None of the above. Show Answer Correct Answer: A) The river rose 93 inches in 5 days. ← 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 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