This quiz works best with JavaScript enabled. Home > Cbse > Class 11 > Science > Mathematics > 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 (60 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. $\left(4x^2-\frac{1}{2x}\right)^{12}$ A) 285. B) 365. C) 495. D) 425. Show Answer Correct Answer: C) 495. 2. Find the coefficient of the x$^{5}$ term in (5x+1)$^{11}$. A) 1443750x$^{5}$. B) 7218750x$^{5}$. C) 1443750. D) 7218750. Show Answer Correct Answer: C) 1443750. 3. Identify the common difference.3, 7, 11, 15, ..... A) 2. B) 5. C) 6. D) 4. Show Answer Correct Answer: D) 4. 4. What is the fifth term of the binomial expansion $\left(3x-4\right)^4$ A) 42. B) -12. C) 256. D) -64. Show Answer Correct Answer: C) 256. 5. Expand:(x-2y)$^{3}$ A) X$^{2}$-4xy + 4y$^{2}$. B) X$^{3}$ + 6x$^{2}$y + 12xy$^{2}$ + 8y$^{3}$. C) X$^{3}$-6x$^{2}$y + 12xy$^{2}$-8y$^{3}$. D) X$^{3}$-8y$^{3}$. Show Answer Correct Answer: C) 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) No, (x-2) is not a factor. The remainder is zero. B) Yes, (x-2) is a factor. The remainder is zero. C) No, (x-2) is not a factor. There is a remainder. D) Yes, (x-2) is a factor. There is a remainder. Show Answer Correct Answer: B) Yes, (x-2) is a factor. The remainder is zero. 8. Find the coefficient of $x^4$ $\left(1-2x\right)^6$ A) 240. B) -240. C) 320. D) -320. Show Answer Correct Answer: A) 240. 9. Select the correct expansion of (1 + x)$^{4}$ A) X + 3x$^{2}$ + 3x$^{3}$ + x$^{4}$. B) 1 + 2x$^{2}$ + x$^{4}$. C) 1 + 4x + 6x$^{2}$ + 4x$^{3}$ + x$^{4}$. D) 1 + 5x + 10x$^{2}$ + 5x$^{3}$ + x$^{4}$. Show Answer Correct Answer: C) 1 + 4x + 6x$^{2}$ + 4x$^{3}$ + x$^{4}$. 10. Expand (x + 2)$^{3}$ A) X$^{3 }$+ 4x$^{2 }$+ 12x + 6. B) X$^{3 }$+ 6x$^{2 }$+ 12x + 8. C) X$^{3 }$+ 6x$^{2 }$-12x + 8. D) X$^{3 }$-6x$^{2 }$+ 12x-8. Show Answer Correct Answer: B) X$^{3 }$+ 6x$^{2 }$+ 12x + 8. 11. What is the coefficient of $x^3$ $(1 + x)^5$ A) 10. B) 20. C) 5. D) 15. Show Answer Correct Answer: A) 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) 5(x$^{2}$-1)(4x+5). B) (5x$^{2}$+1)(4x-5). C) (5x$^{2}$+1)(4x-1). D) (5x$^{2}$-5)(4x+1). Show Answer Correct Answer: B) (5x$^{2}$+1)(4x-5). 14. What would be the 6th term of the expansion of $\left(m-3\right)^5$ A) 405m. B) M$^{5}$. C) -243. D) -244. Show Answer Correct Answer: C) -243. 15. Factor. $64-27a^3$ A) $\left(4-3a\right)\left(3a^2+12a+16\right)$. B) $\left(4-3a\right)^3$. C) $\left(3a-4\right)\left(3a^2+12a+16\right)$. D) $\left(4-3a\right)\left(16+12a+9a^2\right)$. Show Answer Correct Answer: D) $\left(4-3a\right)\left(16+12a+9a^2\right)$. 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) 2$^{20}$. B) 20. C) 2$^{10}$. D) 21. Show Answer Correct Answer: B) 20. 17. Find the coefficient of the x$^{3}$ term in (x-3)$^{10}$ A) 3240x$^{3}$. B) 262440. C) 3240. D) 262440x$^{3}$. Show Answer Correct Answer: B) 262440. 18. What is the 4th term of the binomial expansion (x + 2)$^{5}$? A) 16x$^{2}$. B) 80x$^{2}$. C) 80x$^{4}$. D) 16x$^{4}$. Show Answer Correct Answer: B) 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$_{4}$(.01)$^{4}$(.99)$^{31}$. B) $_{35}$C$_{4}$. C) $_{35}$C$_{4}$(.99)$^{4}$(.01)$^{31}$. D) (.01)$^{4}$(.99)$^{31}$. Show Answer Correct Answer: A) $_{35}$C$_{4}$(.01)$^{4}$(.99)$^{31}$. 20. What is a binomial? A) A polynomial of the sum of two or more terms. B) A polynomial of the sum or difference of two terms. C) A polynomial of the sum of two terms. D) A polynomial of the sum or difference of two or more terms. Show Answer Correct Answer: B) 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) $\frac{4481}{241}$. B) $\text{}\frac{560}{243}$. C) $\frac{1120}{243}$. D) $\frac{841}{243}$. 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!). C) C(n, k) = n! / (k! * (n + k)!). D) C(n, k) = n! / (k! * (n-k)!). Show Answer Correct Answer: D) 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. 26. No.of terms of (x +y)$^{n}$ = A) N+1. B) N. C) N-1. D) None. Show Answer Correct Answer: A) N+1. 27. Identify the common difference.-21, -18, -15, -12, ..... A) -3. B) -4. C) 3. D) 4. Show Answer Correct Answer: C) 3. 28. Expand:(2x-3)$^{2}$ A) 2x$^{2}$-12x-9. B) 4x$^{2 }$-12x + 9. C) 4x$^{2 }$+ 9. D) 4x$^{2 }$-9. Show Answer Correct Answer: B) 4x$^{2 }$-12x + 9. 29. Find the coefficient of the x$^{3}$ in (2x+1)$^{12}$ A) 1760. B) 112640. C) 440x$^{3}$. D) 440. Show Answer Correct Answer: A) 1760. 30. What row of Pascal's Triangle would you use for (x+5)$^{5}$? A) 1, 4, 9, 4, 1. B) 1, 3, 3, 1. C) 1, 5, 10, 10, 5, 1. D) 1, 2, 1. Show Answer Correct Answer: C) 1, 5, 10, 10, 5, 1. 31. What is the value of 7C5 in Pascal's triangle? A) 35. B) 28. C) 42. D) 21. Show Answer Correct Answer: D) 21. 32. The coefficient of y in the expansion of (y$^{2}$+(c/y))$^{5}$ is: A) 10c$^{3}$. B) 20c$^{3}$. C) 10c. D) 29c. Show Answer Correct Answer: A) 10c$^{3}$. 33. (The challenge) Find the coefficient of $a^2b^2c^3$ $\left(a+2b-c\right)^7$ A) 840. B) -260. C) -980. D) 450. E) -840. Show Answer Correct Answer: E) -840. 34. What is the array called in which the coefficients of the expansions are arranged? A) Euclidean algorithm. B) Pascal's triangle. C) Fibonacci sequence. D) Pythagorean theorem. Show Answer Correct Answer: B) Pascal's triangle. 35. Consider the binomial expansion of $\left(2y-5x\right)^6$ A) 7. B) 4. C) 6. D) 5. Show Answer Correct Answer: A) 7. 36. What are the coefficients of the expansion of (x+y)$^{7 }$? A) 1, 7, 21, 35, 35, 21, 7, 1. B) 1, 6, 15, 21, 15, 6, 1. C) 1, 5, 10, 10, 5, 1. D) 1, 8, 28, 56, 70, 56, 28, 8, 1. Show Answer Correct Answer: A) 1, 7, 21, 35, 35, 21, 7, 1. 37. Find the 10th term of the expansion:(2x-3)$^{13}$ A) 225173520x$^{4}$. B) 270208224x$^{4}$. C) -7907328x$^{10}$. D) 135104112x$^{3}$. Show Answer Correct Answer: A) 225173520x$^{4}$. 38. In the expansion of $(x + y)^6$ $x^4y^2$ A) 30TagsAZ.MA.9-12.P.A-APR.C.5. B) 15. C) 6. D) 12. Show Answer Correct Answer: B) 15. 39. What is row 5 of Pascal's Triangle? A) 1, 4, 9, 4, 1. B) 1, 3, 3, 1. C) 1, 2, 1. D) 1, 5, 10, 10, 5, 1. Show Answer Correct Answer: D) 1, 5, 10, 10, 5, 1. 40. Convert 7 hours into minutes. (a) A) 60 minutes. B) 300 minutes. C) 720 minutes. D) A. 420 minutes. Show Answer Correct Answer: D) A. 420 minutes. 41. Find the 14th term of (2x-y)$^{18}$ A) 64, 064x$^{5}$y$^{14}$. B) 274, 176x$^{5}$y$^{13}$. C) -274, 176x$^{5}$y$^{13}$. D) -64, 064x$^{5}$y$^{14}$. Show Answer Correct Answer: C) -274, 176x$^{5}$y$^{13}$. 42. Expand completely. $\left(m-4\right)^4$ A) $-3m^4-16m^3+96m^2-256m+256$. B) $m^4-4m^3+16m^2-64m+256$. C) $5m^4-40m^3+160m^2-320m+256$. D) $m^4-16m^3+96m^2-256m+256$. Show Answer Correct Answer: D) $m^4-16m^3+96m^2-256m+256$. 43. What is the third term for the expansion (2x-5)$^{5}$? A) 5000x$^{2}$. B) 2000x$^{3}$. C) 500x$^{3}$. D) 800x$^{3}$. Show Answer Correct Answer: B) 2000x$^{3}$. 44. What is the 30th term of the expansion (5r + s)$^{32}$? A) 4230r$^{3}$s$^{29}$. B) 620000r$^{3}$s$^{29}$. C) 4230r$^{2}$s$^{30}$. D) 620000r$^{2}$s$^{30}$. E) None of these. Show Answer Correct Answer: B) 620000r$^{3}$s$^{29}$. 45. Expand (d-5)$^{5}$ A) D$^{4 }$+ 20d$^{3 }$+ 150d$^{2 }$+ 750d + 3125. B) D$^{5}$ + 25 d$^{4}$ + 250 d$^{3}$ + 1250 d$^{2}$ + 3125 d + 3125. C) D$^{4 }$-20d$^{3 }$+ 150d$^{2 }$-750d + 3125. D) D$^{5}$-25 d$^{4}$ + 250 d$^{3}$-1250 d$^{2}$ + 3125 d-3125. Show Answer Correct Answer: D) D$^{5}$-25 d$^{4}$ + 250 d$^{3}$-1250 d$^{2}$ + 3125 d-3125. 46. Change 6.75% to a decimal. A) .0675. B) 675. C) 67.5. D) .675. Show Answer Correct Answer: A) .0675. 47. $9\times8\times7\times6=$ A) $\frac{9!}{4!}$. B) $9^P6$. C) $9^P4$. D) $\frac{9!}{6!}$. Show Answer Correct Answer: C) $9^P4$. 48. What is The name of the nicktoon about babies that talk? A) The Fairly oddparents. B) Rugrats. C) The Loud House. D) Hey Arnold. Show Answer Correct Answer: B) Rugrats. 49. Name the polynomial by degree and number of terms:8k$^{3}$ + 6k$^{2}$-10k + 10 A) Quartic trinomial. B) Cubic polynomial. C) Linear monomial. D) Cubic binomial. Show Answer Correct Answer: B) Cubic polynomial. 50. In Pascal's triangle, what is the coefficient for the expansion 7C3? A) 42. B) 35. C) 21. D) 28. Show Answer Correct Answer: C) 21. 51. You have $ 10 in you bank account. It doubles every month. How much money will you have after 5 months? A) $ 320. B) $ 50. C) $ 250. D) $ 35. Show Answer Correct Answer: A) $ 320. 52. Simplify the expression(x-3)$^{2}$ A) X$^{2}$ + 9. B) X$^{2}$-6x + 9. C) X$^{2}$ + 6x-9. D) X$^{2}$ + 6x + 9. Show Answer Correct Answer: B) X$^{2}$-6x + 9. 53. What is the last term in the expansion of $(x + 3)^4$ A) 3. B) 9. C) 27. D) 81. Show Answer Correct Answer: D) 81. 54. Given the binomial $\left(x^3y^4-2\right)^{10}$ A) $15360x^6y^7$. B) $-15360x^9y^{12}$. C) $15360x^9y^{12}$. D) $-15360x^6y^7$. Show Answer Correct Answer: B) $-15360x^9y^{12}$. 55. How is the binomial expansion of (1+b)$^{n}$ different from (1-b)$^{n }$? A) They have a different number of terms. B) Their coefficients have alternate + and-signs. C) They have different degrees. D) There is no difference. Show Answer Correct Answer: B) Their coefficients have alternate + and-signs. 56. Expand:$\left(x-3\right)^5$ A) $x^5-3x^4+90x^3-270x^2+815x-243$. B) $x^5+15x^4-90x^3+270x^2-405x+243$. C) $x^5-15x^4+90x^3-270x^2+405x-243$. D) $x^5+15x^4+90x^3+270x^2+405x+243$. Show Answer Correct Answer: C) $x^5-15x^4+90x^3-270x^2+405x-243$. 57. C0+C2+C4+C6+ ..... = A) 1. B) 0. C) 2$^{n}$. D) C1+C3+C5+C7+ . Show Answer Correct Answer: D) C1+C3+C5+C7+ . 58. Jim draws 4 cards from a deck of cards. What is the probability of all 4 cards being clubs? A) $\frac{_{52}C_4}{_{13}C_4}$. B) $\frac{_{13}C_4}{_{52}C_4}$. C) $\frac{4}{52}$. D) $\frac{4}{_{52}C_4}$. Show Answer Correct Answer: B) $\frac{_{13}C_4}{_{52}C_4}$. 59. Which of the following is the binomial coefficient of $_5C_3$ A) 60. B) 10. C) 15. D) 20. Show Answer Correct Answer: B) 10. 60. Find the 23rd term of the following series:4 + 15 + 26 + ..... A) 235. B) 268. C) 246. D) 257. Show Answer Correct Answer: C) 246. ← PreviousNext →Related QuizzesScience QuizzesClass 11 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 9 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books