This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 14 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 14 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Simplify $\left(x-4\right)^3.$ A) $x^3+12x^2+48x-64$. B) $64-48x+12x^2-x^3$. C) $x^3+12x^2-16x-4$. D) $x^3-12x^2+48x-64$. Show Answer Correct Answer: D) $x^3-12x^2+48x-64$. 2. Open the link, Binomial Theorem, from the Google Document, and use the notes from the link to answer the questions. You have 5 minutes to locate the link. Are you ready? Click yes! A) Yes. B) . C) All the above. D) None of the above. Show Answer Correct Answer: A) Yes. 3. What is Ms. Arruda's Cat's Name? A) Foxy. B) Moxy. C) Roxy. D) Diane. Show Answer Correct Answer: C) Roxy. 4. The coefficient of the middle term in the expansion of (2+3x)$^{4 }$is: A) 5!. B) 6. C) 216. D) 8!. Show Answer Correct Answer: C) 216. 5. If n is the positive integer, then 2$^{3n}$-7n-1 is divisible by A) 7. B) 10. C) 49. D) 81. Show Answer Correct Answer: C) 49. 6. Write the explicit formula for the geometric sequence.3, -12, 48, -192, ..... A) A$_{n}$ = 4(3)$^{n-1}$. B) A$_{n}$ = 3(4)$^{n-1}$. C) A$_{n}$ =-4(3)$^{n-1}$. D) A$_{n}$ = 3(-4)$^{n-1}$. Show Answer Correct Answer: D) A$_{n}$ = 3(-4)$^{n-1}$. 7. Using the Binomial Theorem expand:$\left(x-5\right)^4$ A) $x^4-20x^3+150x^2-500x+625$. B) X4-20x3+150x2-500x+625 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $x^4-20x^3+150x^2-500x+625$. 8. Use the binomial expansion to expand $\left(u^2-2\right)^3$ A) $u^6-6u^4+12u^2-8$. B) $u^6-16u^4+12u^2-8$. C) $5u^6-20u^4+40u^2-40$. D) $u^6-24u^4+12u^2-8$. Show Answer Correct Answer: A) $u^6-6u^4+12u^2-8$. 9. If $_{n}$C$_{2 }$= 28, then what is the value of n? A) 8. B) 7. C) 6. D) 5. Show Answer Correct Answer: A) 8. 10. Using Binomial Theorem, find the coefficient of $x^2y^6$ $\left(2x-3y^2\right)^5$ A) -1088. B) -1081. C) -1080. D) 1080. Show Answer Correct Answer: C) -1080. 11. In a city, it is estimated that the maximum temperature for the thirty days of June is normally distributed with a mean of 23 degrees and a standard deviation of 5 degrees. Calculate the number of days in this month in which it is expected to reach a maximum temperature between 21 and 27 degrees. A) 4 days. B) 8 days. C) 10 days. D) 13 days. Show Answer Correct Answer: D) 13 days. 12. $\left(2-5x\right)^7$ $x^2$ A) 16800. B) 17200. C) 70000. D) 2240. Show Answer Correct Answer: A) 16800. 13. Find the coefficient in terms of the given term in the binomial expansion x$^{4 }$in (x-3)$^{11}$ A) -721710. B) -990. C) 721710. D) 330. Show Answer Correct Answer: A) -721710. 14. If $(1+x)^n=1+\frac{2}{3}.\\frac{1}{2}+\frac{2.5}{3.6}.\\frac{1}{2^2}+\frac{2.5.8}{3.6.9}.\\frac{1}{2^3}+ ..... $ A) $\frac{\left(-1\right)}{2}$. B) $\frac{\left(-2\right)}{3}$. C) $\frac{2}{3}$. D) $\frac{1}{2}$. Show Answer Correct Answer: A) $\frac{\left(-1\right)}{2}$. 15. Coefficient of (1-x)$^{2}$ is A) -1. B) 1. C) 0. D) None. Show Answer Correct Answer: B) 1. 16. The arrangement of the binomial coefficients is called A) Combination. B) Pascal's triangle. C) Permutation. D) Binomial theorem. Show Answer Correct Answer: B) Pascal's triangle. 17. What is row 6 of Pascal's Triangle? A) 1, 6, 15, 15, 6, 1. B) 1, 6, 15, 20, 15, 6, 1. C) 1, 7, 21, 35, 35, 21, 7, 1. D) 1, 7, 21, 35, 21, 7, 1. Show Answer Correct Answer: B) 1, 6, 15, 20, 15, 6, 1. 18. Select the correct expansion of(1 + 4x)$^{3}$ A) 1 + 12x + 12x$^{2}$ + 4x$^{3}$. B) 1 + 12x + 48x$^{2}$ + 64x$^{3}$. C) 1 + 3x + 3x$^{2}$ + x$^{3}$. D) 1 + 4x + 16x$^{2}$ + 64x$^{3}$. Show Answer Correct Answer: B) 1 + 12x + 48x$^{2}$ + 64x$^{3}$. 19. Riley invested $ 1, 000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years? A) $ 1, 584.62. B) $ 2, 651.39. C) $ 2, 706.86. D) $ 1, 825.10. Show Answer Correct Answer: C) $ 2, 706.86. 20. The coefficient of a$^{3}$b in the expansion of (4b+3a)$^{4}$ A) 108. B) 432. C) 768. D) 81. Show Answer Correct Answer: B) 432. 21. The word "selection" usually refers to A) Combination. B) Permutation. C) Probability. D) Counting. Show Answer Correct Answer: A) Combination. 22. If $^{n}$P3= 1320, then the values of 'n' is A) 10. B) 4. C) 6. D) 12. Show Answer Correct Answer: D) 12. 23. What does the n stand for in the binomial probability formula? A) Number of trials. B) Number of Successes. C) Probability of Successes. D) Probability of Failures. Show Answer Correct Answer: A) Number of trials. 24. Expand Completely. (Using Pascal's Triangle) $\left(3v-u\right)^4$ A) $81v^4-108v^3u-54v^2u^2-12vu^3-u^4$. B) $81v^4-108v^3u+54v^2u^2-12vu^3+u^4$. C) $82v^4-110v^3u+56v^2u^2-14vu^3+u^4$. D) None of the above. Show Answer Correct Answer: B) $81v^4-108v^3u+54v^2u^2-12vu^3+u^4$. 25. What is the value of 7C4 in Pascal's triangle? A) 35. B) 21. C) 28. D) 42. Show Answer Correct Answer: A) 35. ← 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