Mathematics MCQs for PPSC FPSC KKPSC BPSC SPSC NTS Test 13

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 Test Instructions:- Test Name Lecturer Mathematics Subject Math Test 13 Test Type MCQs Mathematics Total Questions 25 Total Time 20 Minutes Total Marks 100
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You have 20 minutes to pass to the quiz.

You have 20 minutes to pass to the quiz.

Lecturer Mathematics Online Test No. 13

1 / 25

How many techniques to solve quadratic equations:

2 / 25

To convert 𝒂𝒙𝟐𝒏 + 𝒃𝒙𝒏 + 𝒄 = 𝟎(𝒂 ≠ 𝟎) into quadratic form , the correct substitution is:

A). 𝑦 = 𝑥𝑛

B). 𝑥 = 𝑦𝑛

C). 𝑦 = 𝑥−𝑛

D). 𝑦 = 1/𝑥

3 / 25

If the system of linear equations have no solution at all, then it is called a/an:

4 / 25

The equation 𝒂𝒙𝟐 + 𝒃𝒙 + 𝒄 = 𝟎 will be quadratic if:

5 / 25

For any non-singular matrices A and B it is true that:

A). (𝐴𝐵)−1 = 𝐵−1𝐴−1

B). (𝐴𝐵)𝑡 = 𝐵𝑡𝐴𝑡

C). 𝐴𝐵 ≠ 𝐵𝐴

D). all of these

6 / 25

For any matrix A , it is always true that:

a). 𝐴 = 𝐴𝑡

b). – 𝐴 = 𝐴̅

c). |𝐴| = |𝐴𝑡|

d). 𝐴−1 = 1/A

7 / 25

(𝑨−𝟏)𝒕 =

8 / 25

Which of the following Sets is a field:

9 / 25

If 𝑨𝑿 = 𝑶 then 𝑿 =

10 / 25

To convert 𝟒𝟏+𝒙 + 𝟒𝟏−𝒙 = 𝟏𝟎 into quadratic , the substitution is:

A). 𝑦 = 𝑥1−𝑥

B). 𝑦 = 41+𝑥

C). 𝑦 = 4𝑥

D). 𝑦 = 4−𝑥

11 / 25

The equation in which variable occurs in exponent , called:

12 / 25

If a matrix is in triangular form, then its determinant is product of the entries of its:

13 / 25

If A is symmetric (Skew symmetric), then 𝑨𝟐 must be

14 / 25

In a homogeneous system of linear equations , the solution (0,0,0) is:

15 / 25

Which of the following Sets is not a field:

16 / 25

Solution set of the equation 𝒙𝟐 − 𝟒𝒙 + 𝟒 = 𝟎 is:

17 / 25

If a square matrix 𝑨 has two identical rows or two identical columns then:

18 / 25

The solution of a quadratic equation are called:

19 / 25

A square matrix 𝑨 = [𝒂𝒊𝒋] for which 𝒂𝒊𝒋 = 𝟎, 𝒊 > 𝑗 then A is called:

20 / 25

The main diagonal elements of a skew hermitian matrix must be:

21 / 25

A square matrix 𝑨 = [𝒂𝒊𝒋] for which 𝒂𝒊𝒋 = 𝟎, 𝒊 < 𝑗 then A is called:

22 / 25

The value of 𝝀 for which the system 𝒙 + 𝟐𝒚 = 𝟒; 𝟐𝒙 + 𝝀𝒚 = −𝟑 does not possess the unique solution

23 / 25

For a non-singular matrix it is true that :

A). (𝐴−1)−1 = 𝐴

B). (𝐴𝑡)𝑡 = 𝐴

C). 𝐴̿ = 𝐴

D). all of these

24 / 25

If all entries of a square matrix of order 𝟑 is multiplied by 𝒌, then value of |𝒌𝑨| is equal to:

A). 𝑘|𝐴|

B). 𝑘2|𝐴|

C). 𝑘3|𝐴|

D). |𝐴|

25 / 25

In echelon form of matrix, the first non zero entry is called: