This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 12 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 12 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. No.of terms of (x +y)$^{n}$ = A) N+1. B) N. C) N-1. D) None. Show Answer Correct Answer: A) N+1. 2. Identify the common difference.-21, -18, -15, -12, ..... A) 4. B) 3. C) -4. D) -3. Show Answer Correct Answer: B) 3. 3. Expand:(2x-3)$^{2}$ A) 2x$^{2}$-12x-9. B) 4x$^{2 }$-9. C) 4x$^{2 }$+ 9. D) 4x$^{2 }$-12x + 9. Show Answer Correct Answer: D) 4x$^{2 }$-12x + 9. 4. Find the coefficient of the x$^{3}$ in (2x+1)$^{12}$ A) 112640. B) 440. C) 1760. D) 440x$^{3}$. Show Answer Correct Answer: C) 1760. 5. What row of Pascal's Triangle would you use for (x+5)$^{5}$? A) 1, 2, 1. B) 1, 3, 3, 1. C) 1, 4, 9, 4, 1. D) 1, 5, 10, 10, 5, 1. Show Answer Correct Answer: D) 1, 5, 10, 10, 5, 1. 6. What is the value of 7C5 in Pascal's triangle? A) 42. B) 21. C) 28. D) 35. Show Answer Correct Answer: B) 21. 7. The coefficient of y in the expansion of (y$^{2}$+(c/y))$^{5}$ is: A) 10c. B) 29c. C) 10c$^{3}$. D) 20c$^{3}$. Show Answer Correct Answer: C) 10c$^{3}$. 8. (The challenge) Find the coefficient of $a^2b^2c^3$ $\left(a+2b-c\right)^7$ A) -980. B) -840. C) -260. D) 450. E) 840. Show Answer Correct Answer: B) -840. 9. What is the array called in which the coefficients of the expansions are arranged? A) Pascal's triangle. B) Fibonacci sequence. C) Euclidean algorithm. D) Pythagorean theorem. Show Answer Correct Answer: A) Pascal's triangle. 10. What would be the 2nd term of the expansion of $\left(y+4\right)^4$ A) 253y. B) 16y$^{3}$. C) 64y. D) 96y$^{2}$. Show Answer Correct Answer: B) 16y$^{3}$. 11. Consider the binomial expansion of $\left(2y-5x\right)^6$ A) 6. B) 5. C) 7. D) 4. Show Answer Correct Answer: C) 7. 12. What are the coefficients of the expansion of (x+y)$^{7 }$? A) 1, 8, 28, 56, 70, 56, 28, 8, 1. B) 1, 5, 10, 10, 5, 1. C) 1, 6, 15, 21, 15, 6, 1. D) 1, 7, 21, 35, 35, 21, 7, 1. Show Answer Correct Answer: D) 1, 7, 21, 35, 35, 21, 7, 1. 13. Find the 10th term of the expansion:(2x-3)$^{13}$ A) 135104112x$^{3}$. B) 270208224x$^{4}$. C) 225173520x$^{4}$. D) -7907328x$^{10}$. Show Answer Correct Answer: C) 225173520x$^{4}$. 14. In the expansion of $(x + y)^6$ $x^4y^2$ A) 6. B) 12. C) 15. D) 30TagsAZ.MA.9-12.P.A-APR.C.5. Show Answer Correct Answer: C) 15. 15. What is row 5 of Pascal's Triangle? A) 1, 2, 1. B) 1, 3, 3, 1. C) 1, 4, 9, 4, 1. D) 1, 5, 10, 10, 5, 1. Show Answer Correct Answer: D) 1, 5, 10, 10, 5, 1. 16. Convert 7 hours into minutes. (a) A) A. 420 minutes. B) 60 minutes. C) 300 minutes. D) 720 minutes. Show Answer Correct Answer: A) A. 420 minutes. 17. (x-3)$^{3}$ A) X$^{2}$-6x+9. B) X$^{3}$-9x$^{2}$+27x-27. C) 18x-3. D) X$^{3}$-12x$^{3}$+27. Show Answer Correct Answer: B) X$^{3}$-9x$^{2}$+27x-27. 18. Find the 14th term of (2x-y)$^{18}$ A) -274, 176x$^{5}$y$^{13}$. B) 274, 176x$^{5}$y$^{13}$. C) 64, 064x$^{5}$y$^{14}$. D) -64, 064x$^{5}$y$^{14}$. Show Answer Correct Answer: A) -274, 176x$^{5}$y$^{13}$. 19. Expand completely. $\left(m-4\right)^4$ A) $5m^4-40m^3+160m^2-320m+256$. B) $-3m^4-16m^3+96m^2-256m+256$. C) $m^4-4m^3+16m^2-64m+256$. D) $m^4-16m^3+96m^2-256m+256$. Show Answer Correct Answer: D) $m^4-16m^3+96m^2-256m+256$. 20. $_{25}$C$_{1}$ A) 25. B) 50. C) 300. D) 230. Show Answer Correct Answer: A) 25. 21. What is the third term for the expansion (2x-5)$^{5}$? A) 2000x$^{3}$. B) 500x$^{3}$. C) 5000x$^{2}$. D) 800x$^{3}$. Show Answer Correct Answer: A) 2000x$^{3}$. 22. $nC_r=$ A) $\frac{n}{r}\left(n-r\right)C_{r-1}$. B) $\left(n-1\right)C_r+\left(n-1\right)C_{r-1}$. C) Both 1&2. D) None. Show Answer Correct Answer: C) Both 1&2. 23. 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$^{29}$. 24. Expand (d-5)$^{5}$ A) D$^{5}$-25 d$^{4}$ + 250 d$^{3}$-1250 d$^{2}$ + 3125 d-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$^{4 }$+ 20d$^{3 }$+ 150d$^{2 }$+ 750d + 3125. Show Answer Correct Answer: A) D$^{5}$-25 d$^{4}$ + 250 d$^{3}$-1250 d$^{2}$ + 3125 d-3125. 25. Change 6.75% to a decimal. A) 67.5. B) .675. C) 675. D) .0675. Show Answer Correct Answer: D) .0675. ← 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