This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 19 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 19 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. What is the second term in the binomial expansion of $\left(2r-3s\right)^{12}$ A) $-73728r^{11}s$. B) $73728r^{11}s$. C) $608256r^{10}s^2$. D) $-608256r^{10}s^2$. Show Answer Correct Answer: A) $-73728r^{11}s$. 2. Expand:$\left(x+5\right)^5$ A) $x^5+ +3125x+3125$. B) $x^5+ +1250x^2+3125x$. C) $x^5+ +3025x+3025$. D) $x^5+ +1250x^2+3025x$. Show Answer Correct Answer: A) $x^5+ +3125x+3125$. 3. If the 4th term in the expansion of $(2x + 3)^5$ $T_4$ $T_4$ A) $C(5, 3)\cdot (2x)^2\cdot 3^3$. B) $C(5, 3)\cdot (2x)^3\cdot 3^2$. C) $C(5, 2)\cdot (2x)^3\cdot 3^2$. D) $C(5, 2)\cdot (2x)^2\cdot 3^3$. Show Answer Correct Answer: B) $C(5, 3)\cdot (2x)^3\cdot 3^2$. 4. If $f\left(x\right)=2x^4-3x^3+2x^2-x+17$ $f\left(-2\right)$ A) $83$. B) 83 Mathematical EquivalenceON. C) All the above. D) None of the above. Show Answer Correct Answer: A) $83$. 5. What is the common ratio for the sequence:3, 15, 75 ..... A) 12. B) 1/5. C) 5. D) None of the above. Show Answer Correct Answer: C) 5. 6. For Mrs. V:mean = 55 and standard deviation = 19For Mr. T:mean = 33 and standard deviation = 10.5Mary Beth is very proud of the score of 80 that she earned in Mrs. V's class. Albert is equally proud of the score of 42 he earned in Mr. T's class. Who has the better score? A) Mary Beth. B) Albert. C) All the above. D) None of the above. Show Answer Correct Answer: A) Mary Beth. 7. Factor completely $4x^4-5x^2+1$ A) $\left(4x^2-1\right)\left(x^2-1\right)$. B) $\left(4x^2-1\right)\left(x^2+1\right)$. C) $\left(2x-1\right)\left(2x+1\right)\left(x-1\right)\left(x+1\right)$. D) $\left(2x+1\right)\left(2x+1\right)\left(x-1\right)\left(x+1\right)$. Show Answer Correct Answer: C) $\left(2x-1\right)\left(2x+1\right)\left(x-1\right)\left(x+1\right)$. 8. What is the first term in the expansion of $\left(2x+10y\right)^{15}$ A) $2x^{15}$. B) $2^{15}x^{15}$. C) $10y^{15}$. D) $10^{15}y^{15}$. Show Answer Correct Answer: B) $2^{15}x^{15}$. 9. Expand the expression using the Binomial Theorem.(2x+5)$^{4}$ A) 2x$^{4}$ + 40x$^{3 }$+ 300x$^{2}$ + 1000x +625. B) 16x$^{4 }$+ 160x$^{3}$ +600x$^{2}$ +1000x + 625. C) 16x$^{4}$ + 1000x$^{3}$ + 600x$^{2 }$+ 160x +625. D) None of the above. Show Answer Correct Answer: B) 16x$^{4 }$+ 160x$^{3}$ +600x$^{2}$ +1000x + 625. 10. The term independent of x in the expansion of $\left(x^3+\frac{3}{x^2}\right)^{15}$ A) $15_{C_9}\left(3\right)^9$. B) $15_{C_6}\left(3\right)^6$. C) $15_{C_9}\left(3\right)^4$. D) $15_{C_9}\left(3\right)^7$. Show Answer Correct Answer: A) $15_{C_9}\left(3\right)^9$. 11. Describe a real-world application of the Binomial Theorem. A) Analyzing the stock market trends using linear regression. B) Determining the average speed of a moving object in physics experiments. C) Calculating the area of geometric shapes using the Pythagorean theorem. D) Calculating probabilities in binomial experiments, such as product launches or quality control. Show Answer Correct Answer: D) Calculating probabilities in binomial experiments, such as product launches or quality control. 12. Whichanswer bvelow has the Sigma Symbol in it, which means "sum up" ? A) $\sum_x^y$. B) $\frac{\partial x}{\partial y}$. C) $\log_xy$. D) $\prod_x^y$. Show Answer Correct Answer: A) $\sum_x^y$. 13. Expand:$\left(a+b\right)^2$ A) $a^2+ab+b^2$. B) $a^2+2ab+b^2$. C) $a^2-ab+b^2$. D) $a^2-2ab+b^2$. Show Answer Correct Answer: B) $a^2+2ab+b^2$. 14. Simplify expression and write in standard form.(2w-5)$^{3}$ A) 8w$^{3}$-60w$^{2}$ + 150w-125. B) 8w$^{3}$-125. C) 8w$^{3}$-40w$^{2}$ + 150w-125. D) 2w$^{3}$-15. Show Answer Correct Answer: A) 8w$^{3}$-60w$^{2}$ + 150w-125. 15. Find the coefficient of x$^{3 }$in the expansions of (1-x)$^{15}$. A) 500. B) 455. C) -455. D) -500. Show Answer Correct Answer: C) -455. 16. Find the 5th term of the expansion:(5x + 2)$^{7}$ A) 175000x$^{3}$. B) 16800x$^{2}$. C) 175000x$^{4}$. D) 70000x$^{3}$. Show Answer Correct Answer: D) 70000x$^{3}$. 17. Evaluate:(24/6)! A) 24. B) 720. C) 12. D) 6. Show Answer Correct Answer: A) 24. 18. Find the 6th term in the expansion of (3x+2)$^{8}$ A) 108864x$^{5}$. B) 48384x$^{3}$. C) 108864x$^{3}$. D) 48384x$^{5}$. Show Answer Correct Answer: B) 48384x$^{3}$. 19. Which row of Pascal's triangle would you use to expand $\left(2x+10y\right)^{15}$ A) Row 10. B) Row 12. C) Row 15. D) Row 25. Show Answer Correct Answer: C) Row 15. 20. (2x + 5y-z) + (-6x-4y + 7z) A) -4x +6y + 6z. B) 4x + y + 6z. C) -4x-y + 6z. D) -4x + y + 6z. E) None of these. Show Answer Correct Answer: D) -4x + y + 6z. 21. How many distinguishable ways exist to arrange the letters in the word ELEMENTAL? A) 30, 240. B) 60, 480. C) 90, 720. D) 362, 880. Show Answer Correct Answer: A) 30, 240. 22. Which row of Pascal's Triangle would you use to expand (x+y)$^{3}$? A) 1. B) 1 1. C) 1 2 1. D) 1 3 3 1. Show Answer Correct Answer: D) 1 3 3 1. 23. R. $^{n}$Cr= A) $^{n}$Cr+1. B) $^{n+1}$Cr. C) $^{2n}$Cr. D) N.$^{n-1}$Cr-1. Show Answer Correct Answer: D) N.$^{n-1}$Cr-1. 24. 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) $u^6-6u^4+12u^2-8$. 25. How can the binomial theorem be applied in probability? A) The binomial theorem helps calculate probabilities in binomial experiments. B) The binomial theorem is irrelevant in statistical analysis. C) The binomial theorem applies only to algebraic expressions. D) The binomial theorem is used to calculate the area of shapes. Show Answer Correct Answer: A) The binomial theorem helps calculate probabilities in binomial experiments. ← 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