8th Chapter

11th Class Mathematics Chapter 8 Test

Here you can prepare 11th Class Mathematics Chapter 8 Mathematical Inductions and Binomial Theorem Test. Click the button for 100% free full practice test.

First Year Mathematics Chapter 8 Online MCQ Test for 1st Year Mathematics Chapter 8 (Mathematical Inductions and Binomial Theorem)

This online test contains MCQs about following topics:

- Introduction - Principle of Mathematical Induction - Principle of Extended Mathematical Induction - Binomial Theorem - The Binomial Theorem when the index n is a negative Integer or a FRACTION - Application of the Binomial Theorem

ICS Part 1 Maths Ch 8 Test
ic

First Year Mathematics Chapter 8 Online MCQ Test for 1st Year Mathematics Chapter 8 (Mathematical Inductions and Binomial Theorem)

Sr. # Questions Answers Choice
1 In binomial expansion (a+b)<sup>n</sup>, n is positive integer the sum of coefficients equals:
  • A.
  • B.
  • C.
  • D. none of these
2 If a statement P(n) is true for n = 1 and truth of P(n) for n = k implies the truth of P(n) for n = k + 1, then P(n) is true for all:
  • A. integers n
  • B. real numbers n
  • C. positive real numbers n
  • D. positive integers n
3 The middle term of (x-y)<sup>18</sup> is:
  • A. 9th
  • B. 10th
  • C. 11th
  • D. none of these
4 If n is a positive integer, then the binomial co-efficient equidistant form the beginning and the end in the expansion of (x+a)<sup>n</sup> are:
  • A. same
  • B. not same
  • C. additive inverse of each other
  • D. none of these
5
  • A. T<sub>6</sub>
  • B. T<sub>7</sub>
  • C. T<sub>8</sub>
  • D. T<sub>5</sub>
6 The middle terms of (x+y)<sup>23</sup> are:
  • A. T<sub>10</sub>,T<sub>11</sub>
  • B. T<sub>11</sub>,T<sub>12</sub>
  • C. T<sub>12</sub>,T<sub>13</sub>
  • D. none of these
7 The middle term in the expansion of (a+b)<sup>20</sup> is;
  • A. 10<sup>th</sup> term
  • B. 11<sup>th</sup>term
  • C. 12<sup>th</sup>term
  • D. 13<sup>th</sup>term
8 In binomial expansion of (a+b)n, n is positive integer the sum of even coefficients equals:
  • A.
  • B.
  • C.
  • D. none of these
9 Number of terms in the expansion of (x+y)<sup>6</sup> is:
  • A. 7
  • B. 6
  • C. 2
  • D. 8
10 The middle term in the expansion of (1+x)<sup>1/2</sup> is:
  • A. T<sub>2</sub>
  • B. T<sub>3</sub>
  • C. does not exist
  • D. none of these

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