This quiz works best with JavaScript enabled. Home > Class 11 > Class 11 Mathematics Chapter 8 Binomial Theorem – Quiz 13 🏠 Homepage 📘 Download PDF Books 📕 Premium PDF Books Class 11 Mathematics Chapter 8 Binomial Theorem Quiz 13 (25 MCQs) Quiz Instructions Select an option to see the correct answer instantly. 1. $9\times8\times7\times6=$ A) $9^P4$. B) $9^P6$. C) $\frac{9!}{4!}$. D) $\frac{9!}{6!}$. Show Answer Correct Answer: A) $9^P4$. 2. What is The name of the nicktoon about babies that talk? A) Rugrats. B) The Loud House. C) The Fairly oddparents. D) Hey Arnold. Show Answer Correct Answer: A) Rugrats. 3. Name the polynomial by degree and number of terms:8k$^{3}$ + 6k$^{2}$-10k + 10 A) Linear monomial. B) Cubic binomial. C) Cubic polynomial. D) Quartic trinomial. Show Answer Correct Answer: C) Cubic polynomial. 4. In Pascal's triangle, what is the coefficient for the expansion 7C3? A) 42. B) 28. C) 21. D) 35. Show Answer Correct Answer: C) 21. 5. You have $ 10 in you bank account. It doubles every month. How much money will you have after 5 months? A) $ 50. B) $ 35. C) $ 320. D) $ 250. Show Answer Correct Answer: C) $ 320. 6. Simplify the expression(x-3)$^{2}$ A) X$^{2}$-6x + 9. B) X$^{2}$ + 9. C) X$^{2}$ + 6x-9. D) X$^{2}$ + 6x + 9. Show Answer Correct Answer: A) X$^{2}$-6x + 9. 7. What is the last term in the expansion of $(x + 3)^4$ A) 3. B) 9. C) 27. D) 81. Show Answer Correct Answer: D) 81. 8. Given the binomial $\left(x^3y^4-2\right)^{10}$ A) $-15360x^9y^{12}$. B) $15360x^9y^{12}$. C) $15360x^6y^7$. D) $-15360x^6y^7$. Show Answer Correct Answer: A) $-15360x^9y^{12}$. 9. How is the binomial expansion of (1+b)$^{n}$ different from (1-b)$^{n }$? A) They have a different number of terms. B) Their coefficients have alternate + and-signs. C) They have different degrees. D) There is no difference. Show Answer Correct Answer: B) Their coefficients have alternate + and-signs. 10. Expand:$\left(x-3\right)^5$ A) $x^5+15x^4+90x^3+270x^2+405x+243$. B) $x^5-3x^4+90x^3-270x^2+815x-243$. C) $x^5+15x^4-90x^3+270x^2-405x+243$. D) $x^5-15x^4+90x^3-270x^2+405x-243$. Show Answer Correct Answer: D) $x^5-15x^4+90x^3-270x^2+405x-243$. 11. C0+C2+C4+C6+ ..... = A) 2$^{n}$. B) 0. C) 1. D) C1+C3+C5+C7+ . Show Answer Correct Answer: D) C1+C3+C5+C7+ . 12. Jim draws 4 cards from a deck of cards. What is the probability of all 4 cards being clubs? A) $\frac{_{52}C_4}{_{13}C_4}$. B) $\frac{_{13}C_4}{_{52}C_4}$. C) $\frac{4}{_{52}C_4}$. D) $\frac{4}{52}$. Show Answer Correct Answer: B) $\frac{_{13}C_4}{_{52}C_4}$. 13. Which of the following is the binomial coefficient of $_5C_3$ A) 60. B) 20. C) 10. D) 15. Show Answer Correct Answer: C) 10. 14. Find the 23rd term of the following series:4 + 15 + 26 + ..... A) 257. B) 246. C) 268. D) 235. Show Answer Correct Answer: B) 246. 15. $\sum_{k=1}^{\infty}\left(\frac{2}{5}\right)^k$ A) $\frac{2}{5}$. B) $\frac{2}{3}$. C) 0. D) $\infty$. Show Answer Correct Answer: B) $\frac{2}{3}$. 16. Kamali has 7 unique bracelets and is trying to decide which 3 to wear on a date. Use Pascal's Triangle to find the number of different combinations of 3 bracelets that Kamali could choose from the 7 she owns? A) 7. B) 21. C) 35. D) 1. Show Answer Correct Answer: C) 35. 17. Find the term containing $x^5$ $\left(2y+x\right)^7$ A) $84y^2x^5$. B) $280y^3x^5$. C) $672y^2x^5$. D) $14y^3x^5$. Show Answer Correct Answer: A) $84y^2x^5$. 18. (2x$^{3}$ + 1)$^{5}$ A) 32x $^{15}$ + 80x $^{12}$ + 80x $^{9}$ + 40x $^{6}$ + 10x $^{3}$ + 1. B) X $^{20}$-5x + 10x$^{2}$-8y$^{3}$ + 5x$^{4}$-y $^{5}$. C) All the above. D) None of the above. Show Answer Correct Answer: A) 32x $^{15}$ + 80x $^{12}$ + 80x $^{9}$ + 40x $^{6}$ + 10x $^{3}$ + 1. 19. Expand Correctly (Using Pascal's Triangle) $\left(2x-y\right)^4$ A) $y^4-8xy^3+24x^2y^2-32x^3y+16x^4$. B) $16-32xy^3+24x^2y^2-8+y^4$. C) $16x^4-32x^3y+24x^2y^2-8xy^3+y^4$. D) None of the above. Show Answer Correct Answer: C) $16x^4-32x^3y+24x^2y^2-8xy^3+y^4$. 20. The probability that Tim will sink a foul shot is 70%. If Tim attempts 30 foul shots, what is the probability he sinks exactly 21 foul shots? A) ~15.7%. B) ~68.1%. C) 70%. D) ~72.4%. Show Answer Correct Answer: A) ~15.7%. 21. Amir has a biscuit tin containing 3 bourbons and 5 custard creams. He chooses a biscuit at random, eats it, then chooses another and eats that too. Draw a tree diagram and use it to find the probability that Amir has eaten at least one custard cream. A) $\frac{25}{28}$. B) $\frac{30}{56}$. C) $\frac{15}{56}$. D) None of the above. Show Answer Correct Answer: A) $\frac{25}{28}$. 22. Find the coefficient of the term containing $u^2$ $\left(u-3\right)^5$ A) $-270$. B) $90$. C) $-27$. D) $405$. Show Answer Correct Answer: A) $-270$. 23. Find the coefficient of y$^{3}$ in the expansion of (1-3y)$^{14 }$by using combination A) -9828. B) 9828. C) 364. D) -364. Show Answer Correct Answer: A) -9828. 24. $\left(x+y\right)^2=$ A) $xy^2$. B) $xy+x+y$. C) $x^2+y^2$. D) $x^2+xy+y^2$. Show Answer Correct Answer: D) $x^2+xy+y^2$. 25. If $^{n}$Pr= 5040 and $^{n}$Cr=210, then the values of 'n' and 'r' are A) 10, 14. B) 4, 10. C) 10, 4. D) 14, 10. Show Answer Correct Answer: C) 10, 4. ← 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