Mathematics MCQs for PPSC FPSC KKPSC BPSC SPSC NTS Test 13

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There will be 25 multiple choice question in the test.
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Test Instructions:-
Test NameLecturer Mathematics
SubjectMath Test 13
Test TypeMCQs Mathematics
Total Questions25
Total Time20 Minutes
Total Marks100

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:

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