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8th Unit

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

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

- Introduction - Permutation - Combinations - Probability

#### FSC Part 1 Maths Unit 8 Test

Start Maths Unit 8 Test

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

1 Number of terms in the expansion of (a+b)<sup>n</sup> is:
• A. n
• B. n+1
• C. n-1
• D. none of these
2 In binomial expansion of (a+b)<sup>n</sup>, n is positive integer the sum of odd coefficients equals:
• A.
• B.
• C.
• D. none of these
3 Number of terms in the expansion of (x+y)<sup>6</sup> is:
• A. 7
• B. 6
• C. 2
• D. 8
4 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
5 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
6 In binomial expansion (a+b)<sup>n</sup>, n is positive integer the sum of coefficients equals:
• A.
• B.
• C.
• 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 The middle term of (x-y)<sup>18</sup> is:
• A. 9th
• B. 10th
• C. 11th
• D. none of these
9 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
10
• A. T<sub>6</sub>
• B. T<sub>7</sub>
• C. T<sub>8</sub>
• D. T<sub>5</sub>

### Top Scorers of Mathematics Fsc Part 1 Chapter 8 Online Test

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#### Nawab Muhammad Dawood Abbasi (Nawab Khan)

Lahore28 - Apr - 2024

13/20
46 Sec
N

#### Nawab Muhammad Dawood Abbasi (Nawab Khan)

Lahore28 - Apr - 2024

13/20
53 Sec
H

#### Hussain Munir

Lahore20 - May - 2024

13/20
01 Mins 13 Sec
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#### Hussain Munir

Lahore20 - May - 2024

13/20
01 Mins 13 Sec
H

13/20
10 Mins 50 Sec
N

#### Nawab Muhammad Dawood Abbasi (Nawab Khan)

Lahore28 - Apr - 2024

12/20
01 Mins 09 Sec
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Lahore24 - Apr - 2024

12/20
02 Mins 01 Sec
A

#### Amna Zubair

Lahore19 - Apr - 2024

12/20
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#### Hamza Mirani

Lahore16 - May - 2024

11/20
06 Mins 25 Sec
H

11/20
10 Mins 50 Sec
N

#### Nawab Muhammad Dawood Abbasi (Nawab Khan)

Lahore28 - Apr - 2024

10/20
02 Mins
H

10/20
10 Mins 50 Sec
H

10/20
10 Mins 50 Sec

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