This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 10 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 10 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. In the expansion of $(x + 2)^4$ $x^2$ A) 6. B) 12. C) 24. D) 16. Show Answer Correct Answer: C) 24. 2. Find the product:(3x-5) ( 4x$^{2}$-2x-3) A) 12x$^{3}$-26x$^{2}$-25x + 15. B) 12x$^{3}$-20x$^{2}$-5x + 15. C) 12x$^{3}$-20x$^{2}$-6x + 15. D) 12x$^{3}$-26x$^{2}$ + x + 15. Show Answer Correct Answer: D) 12x$^{3}$-26x$^{2}$ + x + 15. 3. $^{n}$Cr +$^{n}$Cr-1 = A) $^{n}$Cr+1. B) $^{n+1}$Cr. C) $^{2n}$Cr. D) None. Show Answer Correct Answer: B) $^{n+1}$Cr. 4. Find the product:(x-2) (3x$^{2 }$+ 2x-4) A) 3x$^{2 }$-4x +8. B) 3x$^{3 }$+4x$^{2 }$-8x-8. C) 3x$^{3 }$-4x$^{2}$-8x +8. D) 3x$^{3 }$-x$^{2 }$+8x +8. Show Answer Correct Answer: C) 3x$^{3 }$-4x$^{2}$-8x +8. 5. The term independent of X in (x+1/x)$^{2}$ is equal to A) 4. B) 2. C) 1/2. D) 2x. Show Answer Correct Answer: B) 2. 6. An unbiased coin is tossed 10 times. Which of these will not give the probability that there are fewer than 3 heads tossed? A) P(0) + P(1) + P(2). B) $_{10}$C$_{0}$(1/2)$^{10}$ + $_{10}$C$_{1}$(1/2)$^{9}$(1/2) + $_{10}$C$_{2}$(1/2)$^{8}$(1/2)$^{2}$. C) (1/2)$^{10}$ + (1/2)$^{9}$(1/2) + (1/2)$^{8}$(1/2)$^{2}$. D) 1-[P(3) + P(4) + + P(10)]. Show Answer Correct Answer: C) (1/2)$^{10}$ + (1/2)$^{9}$(1/2) + (1/2)$^{8}$(1/2)$^{2}$. 7. What is the coefficient of y in the expansion of (2y +1)$^{4}$ A) 4. B) 6. C) 24. D) 32. Show Answer Correct Answer: D) 32. 8. 64x$^{3}$ + 1 A) (4x-3)(16x$^{2}$ + 12x + 9). B) (3x-1)(9x$^{2}$ + 3x + 1). C) (2x-1)(4x$^{2}$ + 2x + 1). D) (4x + 1)(16x$^{2}$-4x + 1). Show Answer Correct Answer: D) (4x + 1)(16x$^{2}$-4x + 1). 9. 30x$^{3}$+15x$^{2}$-18x-9 A) (5x$^{2}$-3)(6x+1). B) (5x$^{2}$-3)(6x+3). C) 3(5x$^{2}$+3)(2x-1). D) 3(5x$^{2}$-3)(2x+1). Show Answer Correct Answer: D) 3(5x$^{2}$-3)(2x+1). 10. The probability that Tim will sink a foul shot is 70%. If Tim attempts 30 foul shots, what is the probability that he sinks between 19 and 23 shots, inclusive? A) 1-[P(0) + P(1) + P(2) + + P(18)]. B) $_{30}$C$_{19}$(.70)$^{19}$(.30)$^{11}$ + $_{30}$C$_{23}$(.70)$^{23}$(.30)$^{7}$. C) .232 or 23.2%. D) .681 or 68.1%. Show Answer Correct Answer: D) .681 or 68.1%. 11. What does the C in nCr stand for? A) Combination. B) Permutation. C) Composite. D) Component. Show Answer Correct Answer: A) Combination. 12. Which correctly shows 5! A) 5*5*5*5*5. B) 5*4*3*2*1. C) 5*4*3*2*1*0. D) 4*3*2*1. Show Answer Correct Answer: B) 5*4*3*2*1. 13. One of the terms of the binomial (Ax + y)$^{n}$ is 13440x$^{6}$y$^{4}$. What is the value of A? A) 2. B) 4. C) 8. D) 10. E) 12. Show Answer Correct Answer: A) 2. 14. How many terms are the in the expansion of (1+b)$^{4}$ A) 5. B) 6. C) 4. D) 2. E) 3. Show Answer Correct Answer: A) 5. 15. What is the 7th term of the expansion (9h + 3j)$^{6}$? A) 729j$^{6}$. B) 729j$^{7}$. C) 531441h$^{6}$. D) 531441h$^{7}$. E) 13122hj$^{5}$. Show Answer Correct Answer: A) 729j$^{6}$. 16. $\left(y+2\right)^2+4\left(y+2\right)+3$ A) $\left(y+3\right)\left(y+1\right)$. B) $\left(y+5\right)\left(y+3\right)$. C) $\left(y+2\right)\left(y+2\right)$. D) $\left(y+6\right)\left(y+1\right)$. Show Answer Correct Answer: B) $\left(y+5\right)\left(y+3\right)$. 17. Given the expression $\left(x^2-2y\right)^7$ $x^{10}y^2$ A) 88. B) 74. C) 82. D) 84. Show Answer Correct Answer: D) 84. 18. Expand the expression.(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. 19. If $^{n}$Ca= $^{n}$Cb then A) N=a+b or a=b. B) N=a*b or a=b. C) N=a-b or a=b. D) None. Show Answer Correct Answer: A) N=a+b or a=b. 20. If the area of a rectangle is x$^{2}$-100, what could be the length and width of the rectangle? A) (x + 50) and (x-50). B) (x + 10) and (x-10). C) (x + 10i) and (x-10i). D) (x + 10) and (x + 10). Show Answer Correct Answer: B) (x + 10) and (x-10). 21. Factor:x$^{3 }$+ 1 A) (x + 1)$^{3}$. B) (x+1)(x$^{2 }$-x + 1). C) (x-1) (x$^{2}$ + x-1). D) (x + 1)(x$^{2}$-2x + 1). Show Answer Correct Answer: B) (x+1)(x$^{2 }$-x + 1). 22. Simplify each expression.(4n$^{4}$-8n + 4)-(8n$^{2}$ + 4n$^{4}$ + 1) A) -8n$^{2}$-8n + 3. B) -7n$^{2}$-8n + 3. C) -6n$^{2 }$-8n + 3. D) -7n$^{2}$-4n + 3. Show Answer Correct Answer: A) -8n$^{2}$-8n + 3. 23. From a deck of 52 cards, how many 5 card hands have at most 3 kings? A) 2, 598, 904. B) 2, 598, 908. C) 2, 598, 912. D) 2, 598, 916. Show Answer Correct Answer: C) 2, 598, 912. 24. What is the coefficient of x$^{2}$ in the expansion of (4x-1)$^{6}$ A) 15. B) 60. C) 240. D) 320. Show Answer Correct Answer: C) 240. 25. True or False:The coefficients of the 3rd and the 7th terms in the expansion of $\left(x+y\right)^8$ A) True. B) False. C) All the above. D) None of the above. Show Answer Correct Answer: A) True. ← 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 11 🏠 Back to Homepage 📘 Download PDF Books 📕 Premium PDF Books