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.
Answer of the questions will change randomly each time you start this test.
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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

You have 20 minutes to pass to the quiz.

Lecturer Mathematics Online Test No. 13

1 / 25

If 𝑨𝑿 = 𝑢 then 𝑿 =

2 / 25

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

A). (𝐴𝐡)βˆ’1 = π΅βˆ’1π΄βˆ’1

B). (𝐴𝐡)𝑑 = 𝐡𝑑𝐴𝑑

C). 𝐴𝐡 β‰  𝐡𝐴

D). all of these

3 / 25

Β If A is symmetric (Skew symmetric), then π‘¨πŸ must be

4 / 25

The value of 𝝀 for which the system 𝒙 + πŸπ’š = πŸ’; πŸπ’™ + π€π’š = βˆ’πŸ‘ does not possess the unique solution

5 / 25

(π‘¨βˆ’πŸ)𝒕 =

6 / 25

A square matrix 𝑨 = [π’‚π’Šπ’‹] for which π’‚π’Šπ’‹ = 𝟎, π’Š < 𝑗 then A is called:

7 / 25

For a non-singular matrix it is true that :

A). (π΄βˆ’1)βˆ’1 = 𝐴

B). (𝐴𝑑)𝑑 = 𝐴

C). 𝐴̿ = 𝐴

D). all of these

8 / 25

Β The equation in which variable occurs in exponent , called:

9 / 25

To convert π’‚π’™πŸπ’ + 𝒃𝒙𝒏 + 𝒄 = 𝟎(𝒂 β‰  𝟎) into quadratic form , the correct substitution is:

A). 𝑦 = π‘₯𝑛

B). π‘₯ = 𝑦𝑛

C). 𝑦 = π‘₯βˆ’π‘›

D). 𝑦 = 1/π‘₯

10 / 25

Which of the following Sets is not a field:

11 / 25

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

12 / 25

If all entries of a square matrix of order πŸ‘ is multiplied by π’Œ, then value of |π’Œπ‘¨| is equal to:

A). π‘˜|𝐴|

B). π‘˜2|𝐴|

C). π‘˜3|𝐴|

D). |𝐴|


13 / 25

A square matrix 𝑨 = [π’‚π’Šπ’‹] for which π’‚π’Šπ’‹ = 𝟎, π’Š > 𝑗 then A is called:

14 / 25

Solution set of the equation π’™πŸ βˆ’ πŸ’π’™ + πŸ’ = 𝟎 is:

15 / 25

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

16 / 25

The equation π’‚π’™πŸ + 𝒃𝒙 + 𝒄 = 𝟎 will be quadratic if:

17 / 25

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

18 / 25

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

19 / 25

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

20 / 25

For any matrix A , it is always true that:

a). 𝐴 = 𝐴𝑑

b). – 𝐴 = 𝐴̅

c). |𝐴| = |𝐴𝑑|

d). π΄βˆ’1 = 1/A


21 / 25

Which of the following Sets is a field:

22 / 25

To convert πŸ’πŸ+𝒙 + πŸ’πŸβˆ’π’™ = 𝟏𝟎 into quadratic , the substitution is:

A). 𝑦 = π‘₯1βˆ’π‘₯

B). 𝑦 = 41+π‘₯

C). 𝑦 = 4π‘₯

D). 𝑦 = 4βˆ’π‘₯

23 / 25

How many techniques to solve quadratic equations:

24 / 25

Β The solution of a quadratic equation are called:

25 / 25

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

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