This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 11 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 11 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. $\left(4x^2-\frac{1}{2x}\right)^{12}$ A) 285. B) 495. C) 365. D) 425. Show Answer Correct Answer: B) 495. 2. Find the coefficient of the x$^{5}$ term in (5x+1)$^{11}$. A) 1443750x$^{5}$. B) 1443750. C) 7218750x$^{5}$. D) 7218750. Show Answer Correct Answer: B) 1443750. 3. Identify the common difference.3, 7, 11, 15, ..... A) 6. B) 5. C) 4. D) 2. Show Answer Correct Answer: C) 4. 4. What is the fifth term of the binomial expansion $\left(3x-4\right)^4$ A) 256. B) -64. C) 42. D) -12. Show Answer Correct Answer: A) 256. 5. Expand:(x-2y)$^{3}$ A) X$^{3}$-8y$^{3}$. B) X$^{2}$-4xy + 4y$^{2}$. C) X$^{3}$ + 6x$^{2}$y + 12xy$^{2}$ + 8y$^{3}$. D) X$^{3}$-6x$^{2}$y + 12xy$^{2}$-8y$^{3}$. Show Answer Correct Answer: D) X$^{3}$-6x$^{2}$y + 12xy$^{2}$-8y$^{3}$. 6. The total number of terms in the expansion of $\left(x+a\right)^{51}-\left(x-a\right)^{51}$ A) 102. B) 25. C) 26. D) None of these. Show Answer Correct Answer: C) 26. 7. Is (x-2) a factor of $f\left(x\right)=x^3-8x^2+14x-4?$ A) Yes, (x-2) is a factor. There is a remainder. B) No, (x-2) is not a factor. The remainder is zero. C) Yes, (x-2) is a factor. The remainder is zero. D) No, (x-2) is not a factor. There is a remainder. Show Answer Correct Answer: C) Yes, (x-2) is a factor. The remainder is zero. 8. Find the coefficient of $x^4$ $\left(1-2x\right)^6$ A) -320. B) -240. C) 240. D) 320. Show Answer Correct Answer: C) 240. 9. Select the correct expansion of (1 + x)$^{4}$ A) 1 + 4x + 6x$^{2}$ + 4x$^{3}$ + x$^{4}$. B) X + 3x$^{2}$ + 3x$^{3}$ + x$^{4}$. C) 1 + 5x + 10x$^{2}$ + 5x$^{3}$ + x$^{4}$. D) 1 + 2x$^{2}$ + x$^{4}$. Show Answer Correct Answer: A) 1 + 4x + 6x$^{2}$ + 4x$^{3}$ + x$^{4}$. 10. Expand (x + 2)$^{3}$ A) X$^{3 }$+ 6x$^{2 }$-12x + 8. B) X$^{3 }$+ 6x$^{2 }$+ 12x + 8. C) X$^{3 }$-6x$^{2 }$+ 12x-8. D) X$^{3 }$+ 4x$^{2 }$+ 12x + 6. Show Answer Correct Answer: B) X$^{3 }$+ 6x$^{2 }$+ 12x + 8. 11. What is the coefficient of $x^3$ $(1 + x)^5$ A) 5. B) 10. C) 15. D) 20. Show Answer Correct Answer: B) 10. 12. The formula to find greatest term is A) (n+1)|x| / |x|+1. B) .$^{n-1}$Cr-1. C) .$^{n}$Cr. D) None. Show Answer Correct Answer: A) (n+1)|x| / |x|+1. 13. 20x$^{3}$-25x$^{2}$+4x-5 A) (5x$^{2}$-5)(4x+1). B) 5(x$^{2}$-1)(4x+5). C) (5x$^{2}$+1)(4x-5). D) (5x$^{2}$+1)(4x-1). Show Answer Correct Answer: C) (5x$^{2}$+1)(4x-5). 14. What would be the 6th term of the expansion of $\left(m-3\right)^5$ A) M$^{5}$. B) -243. C) -244. D) 405m. Show Answer Correct Answer: B) -243. 15. Factor. $64-27a^3$ A) $\left(4-3a\right)\left(16+12a+9a^2\right)$. B) $\left(3a-4\right)\left(3a^2+12a+16\right)$. C) $\left(4-3a\right)\left(3a^2+12a+16\right)$. D) $\left(4-3a\right)^3$. Show Answer Correct Answer: A) $\left(4-3a\right)\left(16+12a+9a^2\right)$. 16. In the expansion of (l + m)$^{20}$, the sum of exponents of l and m in the 10$^{th}$ term from end is; A) 21. B) 2$^{20}$. C) 20. D) 2$^{10}$. Show Answer Correct Answer: C) 20. 17. Find the coefficient of the x$^{3}$ term in (x-3)$^{10}$ A) 3240x$^{3}$. B) 3240. C) 262440x$^{3}$. D) 262440. Show Answer Correct Answer: D) 262440. 18. What is the 4th term of the binomial expansion (x + 2)$^{5}$? A) 80x$^{2}$. B) 16x$^{2}$. C) 80x$^{4}$. D) 16x$^{4}$. Show Answer Correct Answer: A) 80x$^{2}$. 19. The ABC Company manufactures toy robots. About 1 toy robot per 100 does not work. You purchase 35 ABC toy robots. Which will give the probability that exactly 4 do not work? A) $_{35}$C$_{4}$. B) $_{35}$C$_{4}$(.01)$^{4}$(.99)$^{31}$. C) (.01)$^{4}$(.99)$^{31}$. D) $_{35}$C$_{4}$(.99)$^{4}$(.01)$^{31}$. Show Answer Correct Answer: B) $_{35}$C$_{4}$(.01)$^{4}$(.99)$^{31}$. 20. What is a binomial? A) A polynomial of the sum or difference of two terms. B) A polynomial of the sum or difference of two or more terms. C) A polynomial of the sum of two terms. D) A polynomial of the sum of two or more terms. Show Answer Correct Answer: A) A polynomial of the sum or difference of two terms. 21. The coefficient of the 7th term in the binomial expansion of $\left(2\-\\frac{2}{3}x\right)^{10}$ A) $\text{}\frac{560}{243}$. B) $\frac{841}{243}$. C) $\frac{1120}{243}$. D) $\frac{4481}{241}$. Show Answer Correct Answer: C) $\frac{1120}{243}$. 22. What is the formula for the binomial coefficient? A) C(n, k) = n! / (k! * (n-k)!). B) C(n, k) = (n + k)! / (n! * k!). C) C(n, k) = n! / (k! * n!). D) C(n, k) = n! / (k! * (n + k)!). Show Answer Correct Answer: A) C(n, k) = n! / (k! * (n-k)!). 23. What is the significance of Pascal's Triangle in relation to the Binomial Theorem? A) Pascal's Triangle is a method for solving linear equations. B) Pascal's Triangle is significant as it provides the coefficients for the expansion of the Binomial Theorem. C) Pascal's Triangle is used to calculate prime numbers. D) Pascal's Triangle represents the Fibonacci sequence. Show Answer Correct Answer: B) Pascal's Triangle is significant as it provides the coefficients for the expansion of the Binomial Theorem. 24. Find the partial sum $S_6$ $-\frac{4}{5}+8-80+ ..... $ A) $S_6$. B) $S_6$. C) $S_6$. D) $S_6$. Show Answer Correct Answer: A) $S_6$. 25. If n is even, then the middle term of $\left(a+b\right)^n$ $\left(\frac{n+1}{2}\right)$ $\left(a+b\right)^n$ $\frac{n}{2}+1$ $\frac{n+3}{2}$ $\left(a+b\right)^n$ $\frac{n+1}{2}$ $\frac{n+3}{2}$ A) Both 1 and 2 are true. B) Both 1 and 3 are true. C) Only 1 is true. D) Only 3 is true. Show Answer Correct Answer: D) Only 3 is true. ← 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