MHT-CET SERIES Mathematics
Matrices
35 previous year questions.
Volume: 35 Ques
Yield: High
High-Yield Trend
5
2025 2
2024 1
2023 2
2022 25
2020 Chapter Questions 35 MCQs
01
PYQ 2020
easy
mathematics ID: mht-cet-
For , where is the greatest integer function, which of the following is true, for every ?
1
2
3
4
02
PYQ 2020
medium
mathematics ID: mht-cet-
If
1
0
2
1
3
2
4
4
03
PYQ 2020
medium
mathematics ID: mht-cet-
If
then
1
2
3
4
04
PYQ 2020
medium
mathematics ID: mht-cet-
If
then find .
1
2
3
4
05
PYQ 2020
medium
mathematics ID: mht-cet-
Which of the following matrix is invertible?
1
2
3
4
06
PYQ 2020
medium
mathematics ID: mht-cet-
The matrix is not invertible only if
1
-17
2
-16
3
16
4
17
07
PYQ 2020
medium
mathematics ID: mht-cet-
If
then
1
2
3
4
08
PYQ 2020
medium
mathematics ID: mht-cet-
If
then is
1
2
3
4
09
PYQ 2020
easy
mathematics ID: mht-cet-
If and , then is
1
2
3
4
10
PYQ 2020
medium
mathematics ID: mht-cet-
If , , and , then the value of is
1
2
3
-7
4
7
11
PYQ 2020
medium
mathematics ID: mht-cet-
Evaluate
1
2
3
4
12
PYQ 2020
medium
mathematics ID: mht-cet-
If
then the values of and are, respectively
1
15, 5
2
-15, 5
3
15, -5
4
-15, -5
13
PYQ 2020
medium
mathematics ID: mht-cet-
The direction ratios of the line perpendicular to the lines having direction ratios and are
1
2
3
4
14
PYQ 2020
medium
mathematics ID: mht-cet-
If , where , and , then
1
2
3
4
15
PYQ 2020
easy
mathematics ID: mht-cet-
If
then
1
2
3
4
16
PYQ 2020
medium
mathematics ID: mht-cet-
If , where , and , then
1
2
2
3
3
6
4
1
17
PYQ 2020
medium
mathematics ID: mht-cet-
If , then
1
2
3
4
18
PYQ 2020
medium
mathematics ID: mht-cet-
If the elements of matrix are the reciprocals of the elements of the matrix ,
where is a complex cube root of unity, then
1
2
3
4
does not exist
19
PYQ 2020
medium
mathematics ID: mht-cet-
If
such that
then is
1
2
3
4
20
PYQ 2020
medium
mathematics ID: mht-cet-
If
then
1
is not invertible
2
3
4
21
PYQ 2020
medium
mathematics ID: mht-cet-
The adjoint of the matrix is
1
2
3
4
22
PYQ 2020
medium
mathematics ID: mht-cet-
The sum of the cofactors of the elements of the second row of the matrix
is
1
23
2
3
3
5
4
-23
23
PYQ 2020
medium
mathematics ID: mht-cet-
If
where is the cofactor of the element of matrix , then
1
2
3
4
24
PYQ 2020
easy
mathematics ID: mht-cet-
If , , then is
1
2
3
4
25
PYQ 2020
medium
mathematics ID: mht-cet-
The value of such that the matrix
is not invertible is
1
2
3
4
26
PYQ 2022
easy
mathematics ID: mht-cet-
If matrix A = is such that AX = I, where I is 2 x 2 unit matrix, then X =
1
2
3
4
27
PYQ 2022
easy
mathematics ID: mht-cet-
If A = , then A =?
1
2
3
4
28
PYQ 2023
hard
mathematics ID: mht-cet-
If and , then 2a+3b is?
29
PYQ 2024
medium
mathematics ID: mht-cet-
A spherical iron ball in radius is coated with a layer of ice of uniform thickness that melts at a rate of . When the thickness of ice is , then the rate at which the thickness of ice decreases is:
1
2
3
4
30
PYQ 2024
medium
mathematics ID: mht-cet-
Let the foot of the perpendicular from the point on the line be . Then the distance of from the plane is:
1
2
3
4
31
PYQ 2025
medium
mathematics ID: mht-cet-
A box contains 9 tickets numbered 1 to 9 both inclusive. If 3 tickets are drawn from the box one at a time, then the probability that they are alternatively either or is
1
2
3
4
32
PYQ 2025
medium
mathematics ID: mht-cet-
The number of integral values of for which the vectors and are linearly dependent, is ______.
1
0
2
1
3
2
4
3
33
PYQ 2025
medium
mathematics ID: mht-cet-
If four digit numbers are formed by using the digits 1, 2, 3, 4, 5, 6, 7 without repetition, then out of these numbers, the numbers exactly divisible by 25 are
1
20
2
40
3
50
4
51
34
PYQ 2025
medium
mathematics ID: mht-cet-
The angle between the lines and is
1
2
3
4
35
PYQ 2025
medium
mathematics ID: mht-cet-
is
1
2
3
4