This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 6 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 6 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Expand (g + 4)(g + 5) A) G$^{2}$ + 9g + 20. B) G$^{2}$ + 20. C) G$^{2}$ + 9g + 9. D) G$^{2}$ + 11g + 20. Show Answer Correct Answer: A) G$^{2}$ + 9g + 20. 2. Expand Completely. (Using Pascal's Triangle) $\left(x+3y\right)^4$ A) $x^3+12x^3y+54x^2y^2+108xy^2+81y$. B) $x^4+12x^3y+54x^2y^2+108xy^3+81y^4$. C) $x^4-12x^3y-54x^2y^2-108xy^3-81y^4$. D) None of the above. Show Answer Correct Answer: B) $x^4+12x^3y+54x^2y^2+108xy^3+81y^4$. 3. $^{3}$-64 A) (5x-4)(25x$^{2}$ + 20x + 16). B) (5x + 2)(25x$^{2}$-10x + 4). C) (3x-1)(9x$^{2}$ + 3x + 1). D) (4x-3)(16x$^{2}$ + 12x + 9). Show Answer Correct Answer: A) (5x-4)(25x$^{2}$ + 20x + 16). 4. In the expansion of $(3x + 2y)^4$ $x^2y^2$ A) 24. B) 72. C) 96. D) 144. Show Answer Correct Answer: C) 96. 5. Find the element in Pascal's Triangle. 8th row and 6 element. A) 56. B) 28. C) 7. D) 0. Show Answer Correct Answer: B) 28. 6. $_{15}$C$_{2}$ A) 15. B) 105. C) 455. D) 1365. Show Answer Correct Answer: B) 105. 7. Find the z-scores value corresponding if the location is above the mean by 1/2 standard deviations A) -0.50. B) +1.00. C) +0.50. D) -1.00. Show Answer Correct Answer: C) +0.50. 8. Find the 5th term of the expansion $\left(y-2x\right)^{10}$ A) $-336x^2y^4$. B) $3360x^6y^4$. C) $-3360x^4y^6$. D) $3360x^4y^6$. Show Answer Correct Answer: D) $3360x^4y^6$. 9. Find the 2nd term in the expansion of $\left(2y+4x\right)^4$ A) $128y^3x$. B) $128y^2x^2$. C) $84y^3x$. D) $-128y^3x$. Show Answer Correct Answer: A) $128y^3x$. 10. What number is at the top of Pascal's Triangle? A) 1. B) 0. C) 5. D) 3. Show Answer Correct Answer: A) 1. 11. What is the standard form of the polynomial, 9x$^{2}$ + 5x + 27 + 2x$^{3}$ A) 27 + 5x + 9x$^{2}$ + 2x$^{3}$. B) 9x$^{2}$ + 5x + 2x$^{3}$ + 27. C) 9x$^{2}$ + 5x + 27 + 2x$^{3}$. D) 2x$^{3}$ + 9x$^{2}$ + 5x + 27. Show Answer Correct Answer: D) 2x$^{3}$ + 9x$^{2}$ + 5x + 27. 12. What is the numerical coefficient of the 5th term in the binomial expansion $\left(3z-\frac{2}{z}\right)^7$ A) -22680. B) 15120. C) -6048. D) 1344. Show Answer Correct Answer: B) 15120. 13. When x=1, y=3/2, numerically greatest term in the expansion of (2x-3y)$^{12}$ is A) 12th. B) 10th. C) 8th. D) 6th. Show Answer Correct Answer: B) 10th. 14. What are the next 3 terms in this sequence of terms? 3, 7, 11, 15 A) 18, 22, 26. B) 19, 21, 23. C) 19, 23, 27. D) 18, 21, 24. Show Answer Correct Answer: C) 19, 23, 27. 15. Find the 10th term of the expansion:(x + 1)$^{20}$ A) 167960x$^{11}$. B) 184756x$^{10}$. C) 125970x$^{12}$. D) 77520x$^{11}$. Show Answer Correct Answer: A) 167960x$^{11}$. 16. Find the 4th term in (x+3)$^{10}$ A) 630x$^{7}$. B) 360x$^{7}$. C) 3240x$^{7}$. D) 6570x$^{7}$. Show Answer Correct Answer: C) 3240x$^{7}$. 17. Factor:27x$^{3}$ + 8 A) (3x + 2)(9x$^{2}$-6x + 4). B) (9x + 2)(3x$^{2}$ + 18x + 4). C) (3x$^{2}$+4)(9x + 2). D) (27x + 8)(x$^{2}$-216x + 64). Show Answer Correct Answer: A) (3x + 2)(9x$^{2}$-6x + 4). 18. Given the binomial $\left(x^5-y^3\right)^{15}$ $y^{27}$ A) $5005x^{11}y^{12}$. B) $-5005x^{11}y^{12}$. C) $5005x^{30}y^{27}$. D) $-5005x^{30}y^{27}$. Show Answer Correct Answer: D) $-5005x^{30}y^{27}$. 19. What is the coefficient of n$^{3}$m$^{2}$ in expansion of (n +2m)$^{5}$ A) 10. B) 20. C) 40. D) 80. Show Answer Correct Answer: C) 40. 20. If $^{n}$Pr= 840 and $^{n}$Cr=35, then the values of 'n' and 'r' are A) 4, 7. B) 2, 3. C) 3, 2. D) 7, 4. Show Answer Correct Answer: D) 7, 4. 21. Find the constant term in the expansion of $\left(x^3+\frac{3}{x^2}\right)^{15}$ A) $15C_8\times3^8$. B) $15C_7$. C) $15C_9\times3^9$. D) $15C_{10}\times3^{10}$. Show Answer Correct Answer: C) $15C_9\times3^9$. 22. $\left(x+y\right)^0-1=$ A) 0. B) -1. C) 1. D) None of the answer choices. Show Answer Correct Answer: A) 0. 23. Permutation is the situation when A) A different result occurs when positions of objects are switched. B) The same result occurs when positions of objects are switched. C) Counting principles are applied. D) I don't know. Show Answer Correct Answer: A) A different result occurs when positions of objects are switched. 24. What is the sum of the coefficients in the expansion of $(2x + 1)^4$ A) 8. B) 16. C) 32. D) 81TagsAZ.MA.9-12.P.A-APR.C.5. Show Answer Correct Answer: B) 16. 25. Expand $\left(4x-y\right)^3$ A) $64x^3-48x^2y+12xy^2-y^3$. B) $64x^3-16x^2y+4xy^2-y^3$. C) $256x^3-96x^2y+16xy^2-y^3$. D) $320x^3-160x^2y+40xy^2-5y^3$. Show Answer Correct Answer: A) $64x^3-48x^2y+12xy^2-y^3$. ← 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 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