This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 18 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 18 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. Which row of Pascal's Triangle would you use to expand (x+y)$^{4}$? A) 1 1. B) 1 2 1. C) 1 3 3 1. D) 1 4 6 4 1. Show Answer Correct Answer: D) 1 4 6 4 1. 2. What is the coefficient of the $x^6y^3$ $\left(x+2y\right)^9$ A) 84. B) 168. C) 336. D) 672. Show Answer Correct Answer: D) 672. 3. $np_r=$ 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) 2n. D) Both 1&2. Show Answer Correct Answer: D) Both 1&2. 4. Add or Subtract to Simplify:(5x + 2) + (4x + 5) A) 9x-7. B) -9x-11. C) 9x+7. D) X+7. Show Answer Correct Answer: C) 9x+7. 5. What is row 7 of Pascal's Triangle? A) 1, 8, 28, 56, 70, 56, 28, 8, 1. B) 1, 6, 15, 20, 15, 6, 1. C) 1, 7, 28, 56, 70, 56, 28, 7, 1. D) 1, 7, 21, 35, 35, 21, 7, 1. Show Answer Correct Answer: D) 1, 7, 21, 35, 35, 21, 7, 1. 6. $\left(3x+5\right)^4$ A) $12x^4+3x^3+15x^2+5x+15$. B) $81x^4+135x^3+225x^2+375x+625$. C) $81x^4+540x^3+1350x^2+1500x+625$. D) None of the above. Show Answer Correct Answer: C) $81x^4+540x^3+1350x^2+1500x+625$. 7. Find the 3rd term of the expansion:(2x-3)$^{13}$ A) 135104112x$^{3}$. B) 1437696x$^{11}$. C) -159744x$^{11}$. D) -7907328x$^{10}$. Show Answer Correct Answer: B) 1437696x$^{11}$. 8. How does the Binomial Theorem apply to negative exponents? A) The Binomial Theorem is irrelevant for any exponent type. B) Negative exponents cannot be represented in the Binomial Theorem. C) The Binomial Theorem only applies to positive integers. D) The Binomial Theorem can be applied to negative exponents by using an infinite series expansion. Show Answer Correct Answer: D) The Binomial Theorem can be applied to negative exponents by using an infinite series expansion. 9. Insert 3 arithmetic means in the sequence 10, ..... , ..... , ..... , 130. A) 40, 70, 100. B) 30, 60, 90. C) 50, 80, 110. D) 20, 60, 120. Show Answer Correct Answer: A) 40, 70, 100. 10. Using the Binomial Theorem expand:$\left(2x+1\right)^4$ A) $16x^4+32x^3+24x^2+8x+1$. B) 16x4+32x3+24x2+8x+1 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $16x^4+32x^3+24x^2+8x+1$. 11. Multiply.-3x$^{2}$(7x$^{2 }$-x + 4) A) -21x$^{4}$ + 3x$^{3}$-12x$^{2}$. B) 7x$^{2}$-x + 4 (-3x$^{2}$). C) 21x$^{}$$^{4 }$+ 3x$^{3 }$+ 12x$^{2}$. D) -12x$^{2 }$+ 3x$^{3 }$-21x$^{4}$. Show Answer Correct Answer: A) -21x$^{4}$ + 3x$^{3}$-12x$^{2}$. 12. Expand (x-7)(x + 7) A) X$^{2}$ + 7x-49. B) X$^{2}$-7x + 49. C) X$^{2}$-49. D) X$^{2}$ + 49. Show Answer Correct Answer: C) X$^{2}$-49. 13. Row 1 on pascal triangle A) 1. B) 11. C) 121. D) 1331. E) 14641. Show Answer Correct Answer: B) 11. 14. If three fair coins are tossed, what is the probability of getting at least two heads? A) 1/8. B) 3/8. C) 1/2. D) 2/3. Show Answer Correct Answer: B) 3/8. 15. Expand (a+b)$^{6}$ using the Binomial Theorem. A) A$^{6}$ + 6a$^{5}$b + 20a$^{4}$b$^{2}$ + 15a$^{3}$b$^{3}$ + 20a$^{2}$b$^{4}$ + 6ab$^{5}$ + b$^{6}$. B) A$^{6}$ + 6a$^{5}$b + 15a$^{4}$b$^{2}$ + 20a$^{3}$b$^{3}$ + 15a$^{2}$b$^{4}$ + 6ab$^{5}$ + b$^{6}$. C) A$^{6}$ + 3a$^{5}$b + 15a$^{4}$b$^{2}$ + 21a$^{3}$b$^{3}$ + 15a$^{2}$b$^{4}$ + 3ab$^{5}$ + b$^{6}$. D) A$^{6}$ + 3a$^{5}$b + 12a$^{4}$b$^{2}$ + 20a$^{3}$b$^{3}$ + 12a$^{2}$b$^{4}$ + 3ab$^{5}$ + b$^{6}$. Show Answer Correct Answer: B) A$^{6}$ + 6a$^{5}$b + 15a$^{4}$b$^{2}$ + 20a$^{3}$b$^{3}$ + 15a$^{2}$b$^{4}$ + 6ab$^{5}$ + b$^{6}$. 16. What is the relationship between the Binomial Theorem and combinatorics? A) The Binomial Theorem is closely related to combinatorics through binomial coefficients, which count combinations. B) Combinatorics only deals with permutations, not combinations. C) The Binomial Theorem is unrelated to combinatorics. D) The Binomial Theorem is primarily used in calculus. Show Answer Correct Answer: A) The Binomial Theorem is closely related to combinatorics through binomial coefficients, which count combinations. 17. $\left(4+ax\right)^6$ $x^4$ $x^5$ A) 2. B) 3. C) 4. D) 5. Show Answer Correct Answer: A) 2. 18. Find the 3rd term in the expansion of $\left(x+4\right)^5$ A) $640x^2$. B) $160x^3$. C) $4x^5$. D) $64x^3$. Show Answer Correct Answer: B) $160x^3$. 19. Add or Subtract to Simplify:(4x$^{2}$+ x)-(x$^{2}$+ 2x) A) 3x$^{2 }$-x. B) 4x$^{2 }$+ 2x. C) 3x$^{2}$ + 3x. D) 3x$^{2}$ + 2x. Show Answer Correct Answer: A) 3x$^{2 }$-x. 20. What is the third term in the expansion of (x + 4)$^{5}$? A) 640 x$^{2}$. B) 160 x$^{3}$. C) 4 x$^{5}$. D) 64 x$^{3}$. Show Answer Correct Answer: B) 160 x$^{3}$. 21. Use the binomial theorem to expand $\left(4-2z\right)^3$ A) $64-96z+48z^2+8z^3$. B) $64-96z+48z^2-8z^3$. C) $64+96z+48z^2+8z^3$. D) $64-64z+144z^2-8z^3$. Show Answer Correct Answer: B) $64-96z+48z^2-8z^3$. 22. Find the positive value of m for which the coefficient of $x^2$ $\left(1+x\right)^m$ A) $m=6$. B) $m=5$. C) $m=3$. D) $m=4$. Show Answer Correct Answer: D) $m=4$. 23. The formula to find greatest coefficient, when n is even A) (n+1)|x| / |x|+1. B) $^{n}$Cn/2. C) $^{n}$Cr/2. D) None. Show Answer Correct Answer: B) $^{n}$Cn/2. 24. $\left(2x-6\right)^3$ A) $8x^3-72x^2+216x-36$. B) $8x^3-72x^2+216x-216$. C) $6x^3-42x^2+72x-216$. D) None of the above. Show Answer Correct Answer: B) $8x^3-72x^2+216x-216$. 25. How many ways can you choose 3 items out of 5? A) 10. B) 7. C) 15. D) 6. Show Answer Correct Answer: A) 10. ← 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