CUET Mathematics - Algebra - Matrices & Determinants | Free Questions

Q1:

3 June Shift 2

Algebra

>

Medium

Q1:

16

32

64

256

Correct Answer

Option 4

Correct Answer

Explanation →

Q2:

3 June Shift 2

Algebra

>

Medium

Q2:

(A), (B) and (C) only

(B) and (C) only

(C) only

(B), (C) and (D) only

Correct Answer

Option 4

Correct Answer

Explanation →

Q3:

3 June Shift 2

Algebra

>

Medium

Q3:

Singular matrix

Zero matrix

Symmetric matrix

Skew symmetric matrix

Correct Answer

Option 4

Correct Answer

Explanation →

Q4:

3 June Shift 2

Algebra

>

Medium

Q4:

$n$ is arbitrary, $q = 2$

$m = n$ , $q = 3$

$q = 3$ , $m = 3$

$q$ is arbitrary, $n = 2$

Correct Answer

Option 2

Correct Answer

Explanation →

Q5:

3 June Shift 2

Algebra

>

Medium

Q5:

3

5

6

7

Correct Answer

Option 2

Correct Answer

Explanation →

Q6:

3 June Shift 2

Algebra

>

Medium

Q6:

3

$2\sqrt{2}$

$\pm 2\sqrt{2}$

8

Correct Answer

Option 3

Correct Answer

Explanation →

Q7:

3 June Shift 2

Algebra

>

Medium

Q7:

$2024A + 2024B$

O

$A + B$

$A - B$

Correct Answer

Option 3

Correct Answer

Explanation →

Q8:

3 June Shift 2

Algebra

>

Medium

Q8:

(A), (B) and (C) only

(B), (C) and (D) only

(A), (C) and (D) only

(C) and (D) only

Correct Answer

Option 3

Correct Answer

Explanation →

Q9:

3 June Shift 2

Algebra

>

Medium

Q9:

$\begin{bmatrix} -48 & -20 \\ -56 & -76 \end{bmatrix}$

$\begin{bmatrix} -24 & -10 \\ -28 & -38 \end{bmatrix}$

$\begin{bmatrix} -48 & 20 \\ 56 & -76 \end{bmatrix}$

$\begin{bmatrix} 24 & 10 \\ 28 & 38 \end{bmatrix}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q10:

3 June Shift 2

Algebra

>

Medium

Q10:

$\lambda = 5, \mu$ can be any real number

$\lambda = 5, \mu \neq 20$

$\lambda \neq 5, \mu$ can be any real number

$\lambda = 5, \mu = 20$

Correct Answer

Option 3

Correct Answer

Explanation →

Q11:

3 June Shift 2

Algebra

>

Medium

Q11:

18

15

-10

-18

Correct Answer

Option 4

Correct Answer

Explanation →

Q12:

3 June Shift 2

Algebra

>

Medium

Q12:

1,3

1, -3

2,3

-1, 3

Correct Answer

Option 4

Correct Answer

Explanation →

Q13:

3 June Shift 2

Algebra

>

Medium

Q13:

$I + 2A$

$I + 3A$

$I + A$

$I$

Correct Answer

Option 2

Correct Answer

Explanation →

Q14:

3 June Shift 2

Algebra

>

Medium

Q14:

(A), (C) and (D) only

(A), (B) and (C) only

(B), (C) and (D) only

(A), (B) and (D) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q15:

3 June Shift 2

Algebra

>

Medium

Q15:

$\frac{6}{65}$

$\frac{67}{6}$

$\frac{65}{6}$

$\frac{1}{66}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q16:

3 June Shift 1

Algebra

>

Medium

Q16:

$a_{ij} = \frac{1}{a_{ji}}$ for all $i, j$

$a_{ij} = 0$ for $i = j$

$a_{ij} = 0$ for all $i, j$

$a_{ij} \neq 0$ for $i = j$

Correct Answer

Option 2

Correct Answer

Explanation →

Q17:

3 June Shift 1

Algebra

>

Medium

Q17:

$ab = cd$

$ac = bd$

$ab = bc$

$ad = bc$

Correct Answer

Option 4

Correct Answer

Explanation →

Q18:

3 June Shift 1

Algebra

>

Medium

Q18:

(A) and (D) only

(B) and (C) only

(A) and (C) only

(C) and (D) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q19:

3 June Shift 1

Algebra

>

Medium

Q19:

$\lambda \neq 15$

$\lambda = 12$

$\lambda = -12$

$\lambda = 15$

Correct Answer

Option 4

Correct Answer

Explanation →

Q20:

3 June Shift 1

Algebra

>

Hard

Q20:

2

4

8

1

Correct Answer

Option 2

Correct Answer

Explanation →

Q21:

3 June Shift 1

Algebra

>

Medium

Q21:

16

64

32

256

Correct Answer

Option 4

Correct Answer

Explanation →

Q22:

3 June Shift 1

Algebra

>

Medium

Q22:

22

26

16

27

Correct Answer

Option 3

Correct Answer

Explanation →

Q23:

3 June Shift 1

Algebra

>

Medium

Q23:

only 1

only - 1

1 and - 1 only

any real number

Correct Answer

Option 4

Correct Answer

Explanation →

Q24:

3 June Shift 1

Algebra

>

Medium

Q24:

(A) - (I), (B) - (III), (C) - (II), (D) - (IV)

(A) - (III), (B) - (I), (C) - (II), (D) - (IV)

(A) - (III), (B) - (I), (C) - (IV), (D) - (II)

(A) - (I), (B) - (IV), (C) - (II), (D) - (III)

Correct Answer

Option 2

Correct Answer

Explanation →

Q25:

3 June Shift 1

Algebra

>

Medium

Q25:

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (III), (B) - (I), (C) - (II), (D) - (IV)

(A) - (II), (B) - (III), (C) - (IV), (D) - (I)

(A) - (IV), (B) - (III), (C) - (I), (D) - (II)

Correct Answer

Option 2

Correct Answer

Explanation →

Q26:

3 June Shift 1

Algebra

>

Medium

Q26:

0

x

$x^2$

$x^3$

Correct Answer

Option 4

Correct Answer

Explanation →

Q27:

3 June Shift 1

Algebra

>

Medium

Q27:

2

1

3

5

Correct Answer

Option 1

Correct Answer

Explanation →

Q28:

3 June Shift 1

Algebra

>

Medium

Q28:

(B) and (D) only

(A), (B) and (C) only

(A), (C) and (D)

(C) and (D) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q29:

3 June Shift 1

Algebra

>

Medium

Q29:

(B) and (D) only

(B) and (C) only

(A) and (B) only

(A), (C) and (D) only

Correct Answer

Option 4

Correct Answer

Explanation →

Q30:

3 June Shift 1

Algebra

>

Medium

Q30:

16

18

14

10

Correct Answer

Option 1

Correct Answer

Explanation →

Q31:

2 June Shift 1

Algebra

>

Medium

Q31:

$\begin{bmatrix}1 & 1\\0 & 0\end{bmatrix}$

$\begin{bmatrix}-1 & 1\\3 & -4\end{bmatrix}$

$\begin{bmatrix}1 & -1\\-3 & 4\end{bmatrix}$

$\begin{bmatrix}1 & 0\\0 & 1\end{bmatrix}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q32:

2 June Shift 1

Algebra

>

Medium

Q32:

6

10

16

20

Correct Answer

Option 3

Correct Answer

Explanation →

Q33:

2 June Shift 1

Algebra

>

Medium

Q33:

25

-25

5

-5

Correct Answer

Option 2

Correct Answer

Explanation →

Q34:

2 June Shift 1

Algebra

>

Medium

Q34:

0

-1

1

$\frac{1}{2}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q35:

2 June Shift 1

Algebra

>

Medium

Q35:

81

27

12

36

Correct Answer

Option 3

Correct Answer

Explanation →

Q36:

2 June Shift 1

Algebra

>

Medium

Q36:

-1

0

5

-5

Correct Answer

Option 2

Correct Answer

Explanation →

Q37:

2 June Shift 1

Algebra

>

Medium

Q37:

$3(xy + yz + zx)$

$xy + yz + zx$

0

1

Correct Answer

Option 3

Correct Answer

Explanation →

Q38:

2 June Shift 1

Algebra

>

Easy

Q38:

(A) - (II), (B) - (IV), (C) - (I), (D) - (III)

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

(A) - (IV), (B) - (III), (C) - (II), (D) - (I)

Correct Answer

Option 1

Correct Answer

Explanation →

Q39:

2 June Shift 1

Algebra

>

Medium

Q39:

(A), (B) and (C) only

(B) and (C) only

(C) and (D) only

(A) and (D) only

Correct Answer

Option 3

Correct Answer

Explanation →

Q40:

2 June Shift 1

Algebra

>

Medium

Q40:

$I + 26A$

20A

$I + 20A$

26A

Correct Answer

Option 3

Correct Answer

Explanation →

Q41:

2 June Shift 1

Algebra

>

Medium

Q41:

(A) and (C) only

(A), (C) and (D) only

(A) only

(B), (C) and (D) only

Correct Answer

Option 3

Correct Answer

Explanation →

Q42:

2 June Shift 1

Algebra

>

Medium

Q42:

3

6

9

12

Correct Answer

Option 3

Correct Answer

Explanation →

Q43:

2 June Shift 1

Algebra

>

Medium

Q43:

$x = \frac{1}{4}, y = 6$

$x = \frac{1}{2}, y = 6$

$x = 6, y = \frac{1}{2}$

$x = 2, y = 6$

Correct Answer

Option 2

Correct Answer

Explanation →

Q44:

2 June Shift 1

Algebra

>

Easy

Q44:

$\begin{bmatrix}4 & 7\\5 & 12\end{bmatrix}$

$\begin{bmatrix}3 & 7\\5 & 12\end{bmatrix}$

$\begin{bmatrix}4 & 7\\5 & 8\end{bmatrix}$

$\begin{bmatrix}3 & 7\\5 & 14\end{bmatrix}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q45:

30 May Shift 2

Algebra

>

Medium

Q45:

3

27

9

81

Correct Answer

Option 2

Correct Answer

Explanation →

Q46:

30 May Shift 2

Algebra

>

Medium

Q46:

$x^3 + x^2 - 2$

$x^3 + x^2 + 2$

$x^3 - x^2 + 2$

$x^3 - x^2 - 2$

Correct Answer

Option 3

Correct Answer

Explanation →

Q47:

30 May Shift 2

Algebra

>

Medium

Q47:

2 and 5

5 and -1

7 and -3

2 and -5

Correct Answer

Option 3

Correct Answer

Explanation →

Q48:

30 May Shift 2

Algebra

>

Medium

Q48:

$a = 1, b = 4$

$a = -1, b = 4$

$a = 2, b = -3$

$a = 1, b = -4$

Correct Answer

Option 1

Correct Answer

Explanation →

Q49:

30 May Shift 2

Algebra

>

Easy

Q49:

$\begin{bmatrix}\frac{1}{x} & 0 & 0 \\ 0 & \frac{1}{y} & 0 \\ 0 & 0 & \frac{1}{z}\end{bmatrix}$

$\begin{bmatrix}\frac{1}{yz} & 0 & 0 \\ 0 & \frac{1}{xz} & 0 \\ 0 & 0 & \frac{1}{xy}\end{bmatrix}$

$\begin{bmatrix}\frac{1}{x^2yz} & 0 & 0 \\ 0 & \frac{1}{xy^2z} & 0 \\ 0 & 0 & \frac{1}{xyz^2}\end{bmatrix}$

$\begin{bmatrix}\frac{1}{xyz} & 0 & 0 \\ 0 & \frac{1}{xyz} & 0 \\ 0 & 0 & \frac{1}{xyz}\end{bmatrix}$

Correct Answer

Option 1

Correct Answer

Explanation →

Q50:

30 May Shift 2

Algebra

>

Easy

Q50:

0

1

2

Any real number

Correct Answer

Option 1

Correct Answer

Explanation →

Q51:

30 May Shift 2

Algebra

>

Easy

Q51:

(A) and (B) only

(B) and (C) only

(C) and (D) only

(A) and (D) only

Correct Answer

Option 2

Correct Answer

Explanation →

Q52:

30 May Shift 2

Algebra

>

Medium

Q52:

a unit matrix

a null matrix

a symmetric matrix

a skew symmetric matrix

Correct Answer

Option 2

Correct Answer

Explanation →

Q53:

30 May Shift 2

Algebra

>

Medium

Q53:

5

-4

0

1

Correct Answer

Option 3

Correct Answer

Explanation →

Q54:

30 May Shift 2

Algebra

>

Medium

Q54:

2

4

5

11

Correct Answer

Option 4

Correct Answer

Explanation →

Q55:

30 May Shift 2

Algebra

>

Medium

Q55:

4

-3

2

5

Correct Answer

Option 1

Correct Answer

Explanation →

Q56:

30 May Shift 2

Algebra

>

Medium

Q56:

1

-2

0

$-\frac{1}{2}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q57:

30 May Shift 2

Algebra

>

Medium

Q57:

Not possible

4B

8A

3B

Correct Answer

Option 4

Correct Answer

Explanation →

Q58:

30 May Shift 2

Algebra

>

Medium

Q58:

0

1

-1

3

Correct Answer

Option 1

Correct Answer

Explanation →

Q59:

30 May Shift 2

Algebra

>

Medium

Q59:

(A) and (D) only

(C) and (D) only

(B) and (D) only

(A) and (C) only

Correct Answer

Option 2

Correct Answer

Explanation →

Q60:

30 May Shift 1

Algebra

>

Medium

Q60:

19A

9A

10A

5A

Correct Answer

Option 2

Correct Answer

Explanation →

Q61:

30 May Shift 1

Algebra

>

Easy

Q61:

$\begin{bmatrix} 0 & -2 \\ 2 & 0 \end{bmatrix}$

$\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$

$\begin{bmatrix} 0 & 2 \\ -2 & 0 \end{bmatrix}$

$\begin{bmatrix} 2 & -2 \\ -2 & 2 \end{bmatrix}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q62:

30 May Shift 1

Algebra

>

Easy

Q62:

(A) - (IV), (B) - (III), (C) - (I), (D) - (II)

(A) - (IV), (B) - (III), (C) - (II), (D) - (I)

(A) - (III), (B) - (I), (C) - (IV), (D) - (II)

(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

Correct Answer

Option 4

Correct Answer

Explanation →

Q63:

30 May Shift 1

Algebra

>

Medium

Q63:

7

49

343

0

Correct Answer

Option 3

Correct Answer

Explanation →

Q64:

30 May Shift 1

Algebra

>

Medium

Q64:

0

2

-5/3

any real number

Correct Answer

Option 1

Correct Answer

Explanation →

Q65:

30 May Shift 1

Algebra

>

Medium

Q65:

$\begin{bmatrix} \cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{bmatrix}$

$\begin{bmatrix} \cos\theta & -\sin\theta \\ -\sin\theta & \cos\theta \end{bmatrix}$

$\begin{bmatrix} -\cos\theta & \sin\theta \\ \sin\theta & -\cos\theta \end{bmatrix}$

$\begin{bmatrix} \cos\theta & \sin\theta \\ -\sin\theta & \cos\theta \end{bmatrix}$

Correct Answer

Option 1

Correct Answer

Explanation →

Q66:

30 May Shift 1

Algebra

>

Medium

Q66:

(A), (C) and (D) only

(B) and (D) only

(C) and (D) only

(A), (B) and (D) only

Correct Answer

Option 4

Correct Answer

Explanation →

Q67:

30 May Shift 1

Algebra

>

Easy

Q67:

(A) - (II), (B) - (I), (C) - (III), (D) - (IV)

(A) - (IV), (B) - (I), (C) - (III), (D) - (II)

(A) - (IV), (B) - (I), (C) - (II), (D) - (III)

(A) - (III), (B) - (I), (C) - (IV), (D) - (II)

Correct Answer

Option 3

Correct Answer

Explanation →

Q68:

30 May Shift 1

Algebra

>

Medium

Q68:

$A^5 + B^7$ is skew-symmetric

$A^{21}$ is skew-symmetric

$B^{18}$ is symmetric

$A^6 + B^7$ is symmetric

Correct Answer

Option 4

Correct Answer

Explanation →

Q69:

30 May Shift 1

Algebra

>

Medium

Q69:

$3^2|AB|$

$3^4|AB|$

$3^2|A||B|$

$3^4|A||B|$

Correct Answer

Option 1

Correct Answer

Explanation →

Q70:

30 May Shift 1

Algebra

>

Medium

Q70:

$28^3$

$12^3$

$28^2$

$48^2$

Correct Answer

Option 1

Correct Answer

Explanation →

Q71:

30 May Shift 1

Algebra

>

Hard

Q71:

0

1

2

3

Correct Answer

Option 4

Correct Answer

Explanation →

Q72:

30 May Shift 1

Algebra

>

Medium

Q72:

$3|A|^{n-1}$

$3^{n(n-1)}|A|^{n-1}$

$3^n|A|^{n-1}$

$3^n|A|^n$

Correct Answer

Option 2

Correct Answer

Explanation →

Q73:

30 May Shift 1

Algebra

>

Medium

Q73:

$\begin{bmatrix} 1 & -10 & 11/2 \\ -1 & -3 & 6 \end{bmatrix}$

$\begin{bmatrix} -1 & 1/2 & 11/4 \\ 1 & -3 & 3/2 \end{bmatrix}$

$\begin{bmatrix} -1 & 2 & 3/2 \\ 1 & 3 & 1/2 \end{bmatrix}$

$\begin{bmatrix} -10 & 11/2 & 1 \\ -3 & 6 & -1 \end{bmatrix}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q74:

30 May Shift 1

Algebra

>

Medium

Q74:

18

28

21

13

Correct Answer

Option 3

Correct Answer

Explanation →

Q75:

29 May Shift 2

Algebra

>

Medium

Q75:

0

2

8

16

Correct Answer

Option 4

Correct Answer

Explanation →

Q76:

29 May Shift 2

Algebra

>

Medium

Q76:

n is arbitrary, q = 3

m = n, q = 5

q = 5, m = 3

q is arbitrary, n = 3

Correct Answer

Option 2

Correct Answer

Explanation →

Q77:

29 May Shift 2

Algebra

>

Medium

Q77:

0

1

3

-2

Correct Answer

Option 3

Correct Answer

Explanation →

Q78:

29 May Shift 2

Algebra

>

Medium

Q78:

$\lambda \neq \pm 4$

$\lambda = 4$

$\lambda = -4$

$\lambda$ is any real number

Correct Answer

Option 1

Correct Answer

Explanation →

Q79:

29 May Shift 2

Algebra

>

Medium

Q79:

4

27

$\frac{4}{27}$

$\frac{27}{4}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q80:

29 May Shift 2

Algebra

>

Medium

Q80:

$\lambda \geq 11$

$\lambda = 11$

$\lambda \neq 11$

$\lambda \leq 11$

Correct Answer

Option 3

Correct Answer

Explanation →

Q81:

29 May Shift 2

Algebra

>

Medium

Q81:

$\begin{bmatrix} 19 & -16 \\ -32 & 51 \end{bmatrix}$

$\begin{bmatrix} 19 & -32 \\-16 & 51 \end{bmatrix}$

$\begin{bmatrix} 19 & -11 \\ -27 & 51 \end{bmatrix}$

$\begin{bmatrix} -19 & 16 \\ 32 & -51 \end{bmatrix}$

Correct Answer

Option 1

Correct Answer

Explanation →

Q82:

29 May Shift 2

Algebra

>

Medium

Q82:

$x + y + z$

$xyz$

$(x - y)(y - z)(z - x)$

0

Correct Answer

Option 3

Correct Answer

Explanation →

Q83:

29 May Shift 2

Algebra

>

Medium

Q83:

14 I

7 I

-7 I

-5 I

Correct Answer

Option 3

Correct Answer

Explanation →

Q84:

29 May Shift 2

Algebra

>

Medium

Q84:

(A), (B) and (C) only

(B), (C) and (D) only

(A) and (C) only

(B) and (C) only

Correct Answer

Option 4

Correct Answer

Explanation →

Q85:

29 May Shift 2

Algebra

>

Hard

Q85:

(A) and (B) only

(A), (B) and (C) only

(A), (C) and (D) only

(A), (B) and (D) only

Correct Answer

Option 4

Correct Answer

Explanation →

Q86:

29 May Shift 2

Algebra

>

Medium

Q86:

-1

1

0

2

Correct Answer

Option 2

Correct Answer

Explanation →

Q87:

29 May Shift 2

Algebra

>

Easy

Q87:

$\begin{bmatrix} -1/4 & 0 & 0 \\ 0 & -1/5 & 0 \\ 0 & 0 & -1/6 \end{bmatrix}$

$\begin{bmatrix} -1/30 & 0 & 0 \\ 0 & 1/24 & 0 \\ 0 & 0 & 1/20 \end{bmatrix}$

$\begin{bmatrix} 1/4 & 0 & 0 \\ 0 & 1/5 & 0 \\ 0 & 0 & 1/6 \end{bmatrix}$

$\begin{bmatrix} 6 & 0 & 0 \\ 0 & 5 & 0 \\ 0 & 0 & 4 \end{bmatrix}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q88:

29 May Shift 2

Algebra

>

Medium

Q88:

-(2025) (2026)

$(2025)^2$

(2025) (2026)

$-(2025)^2$

Correct Answer

Option 1

Correct Answer

Explanation →

Q89:

29 May Shift 2

Algebra

>

Medium

Q89:

9

5

any real number

6

Correct Answer

Option 4

Correct Answer

Explanation →

Q90:

27 May Shift 1

Algebra

>

Medium

Q90:

(A), (B) and (C) only

(A) and (D) only

(C) and (D) only

(B), (C) and (D) only

Correct Answer

Option 2

Correct Answer

Explanation →

Q91:

27 May Shift 1

Algebra

>

Medium

Q91:

$\begin{bmatrix} 7 & 19 & -11 \\ -1 & -1 & 1 \\ -3 & -11 & 7 \end{bmatrix}$

$\begin{bmatrix} 7 & -19 & 11 \\ 5 & -1 & -1 \\ 2 & 11 & 7 \end{bmatrix}$

$\begin{bmatrix} 7 & -5 & -3 \\ 19 & 1 & -11 \\ -11 & 1 & 7 \end{bmatrix}$

$\begin{bmatrix} 7 & 19 & -11 \\ -3 & 11 & 7 \\ -2 & -1 & -1 \end{bmatrix}$

Correct Answer

Option 1

Correct Answer

Explanation →

Q92:

27 May Shift 1

Algebra

>

Medium

Q92:

-1

1

-2

0

Correct Answer

Option 4

Correct Answer

Explanation →

Q93:

27 May Shift 1

Algebra

>

Easy

Q93:

$A^{-1}B^{-1}$

$A^{-1}B$

$B^{-1}A^{-1}$

$AB^{-1}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q94:

27 May Shift 1

Algebra

>

Medium

Q94:

-8

-3

-24

24

Correct Answer

Option 4

Correct Answer

Explanation →

Q95:

27 May Shift 1

Algebra

>

Medium

Q95:

3

-3

-4

4

Correct Answer

Option 4

Correct Answer

Explanation →

Q96:

27 May Shift 1

Algebra

>

Medium

Q96:

(A) - (II), (B) - (III), (C) - (IV), (D) - (I)

(A) - (III), (B) - (I), (C) - (IV), (D) - (II)

(A) - (IV), (B) - (I), (C) - (II), (D) - (III)

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

Correct Answer

Option 1

Correct Answer

Explanation →

Q97:

27 May Shift 1

Algebra

>

Medium

Q97:

I

2I

3I

-I

Correct Answer

Option 3

Correct Answer

Explanation →

Q98:

27 May Shift 1

Algebra

>

Medium

Q98:

40

10

20

-20

Correct Answer

Option 1

Correct Answer

Explanation →

Q99:

27 May Shift 1

Algebra

>

Medium

Q99:

0

1

2

3

Correct Answer

Option 3

Correct Answer

Explanation →

Q100:

27 May Shift 1

Algebra

>

Medium

Q100:

(A) - (I), (B) - (IV), (C) - (II), (D) - (III)

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (IV), (B) - (III), (C) - (II), (D) - (I)

(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

Correct Answer

Option 4

Correct Answer

Explanation →

Q101:

27 May Shift 1

Algebra

>

Medium

Q101:

(A) and (B) only

(A), (B) and (C) only

(D) and (A) only

(A) and (C) only

Correct Answer

Option 2

Correct Answer

Explanation →

Q102:

27 May Shift 1

Algebra

>

Medium

Q102:

I

2A

3I

A

Correct Answer

Option 1

Correct Answer

Explanation →

Q103:

27 May Shift 1

Algebra

>

Medium

Q103:

$2a = b$

$a + b = 0$

$a + b = 3$

$a + b = ab$

Correct Answer

Option 3

Correct Answer

Explanation →

Q104:

27 May Shift 1

Algebra

>

Medium

Q104:

$x=1800; y=1000; z=2200$

$x=1000; y=1800; z=2200$

$x=1000; y=2200; z=1800$

$x=2200; y=1800; z=1000$

Correct Answer

Option 3

Correct Answer

Explanation →

Q105:

26 May Shift 2

Algebra

>

Medium

Q105:

PQ

$P^{-1}Q$

$P^{-1}Q^{-1}$

$QP^{-1}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q106:

26 May Shift 2

Algebra

>

Medium

Q106:

AB = 0, BA ≠ 0

AB = 0, BA = 0

$A^2 \neq A$

$B^2 \neq 0$

Correct Answer

Option 1

Correct Answer

Explanation →

Q107:

26 May Shift 2

Algebra

>

Medium

Q107:

(A) and (D) only

(B), (C) and (D) only

(B) only

(C) and (D) only

Correct Answer

Option 4

Correct Answer

Explanation →

Q108:

26 May Shift 2

Algebra

>

Medium

Q108:

10

4

5

7

Correct Answer

Option 2

Correct Answer

Explanation →

Q109:

26 May Shift 2

Algebra

>

Medium

Q109:

6

5

4

3

Correct Answer

Option 3

Correct Answer

Explanation →

Q110:

26 May Shift 2

Algebra

>

Medium

Q110:

-5

4

0

3

Correct Answer

Option 4

Correct Answer

Explanation →

Q111:

26 May Shift 2

Algebra

>

Medium

Q111:

(B) and (D) only

(A) and (C) only

(B) and (C) only

(A) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q112:

26 May Shift 2

Algebra

>

Medium

Q112:

0

$2^x + 3^x$

$3^x + 4^x$

$4^x + 6^x$

Correct Answer

Option 1

Correct Answer

Explanation →

Q113:

26 May Shift 2

Algebra

>

Medium

Q113:

(A), (B) and (C) only

(B), and (D) only

(A), and (C) only

(A), and (D) only

Correct Answer

Option 3

Correct Answer

Explanation →

Q114:

26 May Shift 2

Algebra

>

Medium

Q114:

$\begin{bmatrix} 3 & 3 \\ -2 & 0 \\ 0 & -3 \end{bmatrix}$

$\begin{bmatrix} 4 & 3 \\ 0 & -3 \\ -1 & -2 \end{bmatrix}$

$\begin{bmatrix} 4 & 3 \\ 2 & -3 \\ 0 & -4 \end{bmatrix}$

$\begin{bmatrix} 4 & 3 \\ -3 & 0 \\ -1 & -2 \end{bmatrix}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q115:

26 May Shift 2

Algebra

>

Medium

Q115:

$A^2$ is also a symmetric matrix

$B^2$ is also a skew-symmetric matrix

A+B is an identity matrix

A-B is a null matrix

Correct Answer

Option 1

Correct Answer

Explanation →

Q116:

26 May Shift 2

Algebra

>

Medium

Q116:

(A) - (II), (B) - (I), (C) - (IV), (D) - (III)

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

(A) - (IV), (B) - (III), (C) - (II), (D) - (I)

Correct Answer

Option 1

Correct Answer

Explanation →

Q117:

26 May Shift 2

Algebra

>

Medium

Q117:

(A) only

(A) and (C) only

(A), (B) and (C) only

(A), (B), (C) and (D) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q118:

26 May Shift 2

Algebra

>

Medium

Q118:

(A) and (C) only

(B) and (D) only

(C) and (D) only

(A), (C) and (D) only

Correct Answer

Option 2

Correct Answer

Explanation →

Q119:

22 May Shift 2

Algebra

>

Easy

Q119:

$a^2$

$|ab|$

$\frac{1}{2}|ab|$

$b^2$

Correct Answer

Option 3

Correct Answer

Explanation →

Q120:

22 May Shift 2

Algebra

>

Medium

Q120:

19

$\frac{1}{19}$

0

-19

Correct Answer

Option 2

Correct Answer

Explanation →

Q121:

22 May Shift 2

Algebra

>

Medium

Q121:

(A) and (C) only

(B), (C) and (D) only

(A), (C) and (D) only

(A) and (B) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q122:

22 May Shift 2

Algebra

>

Medium

Q122:

(A) and (B) only

(B) and (C) only

(C) and (D) only

(D) only

Correct Answer

Option 3

Correct Answer

Explanation →

Q123:

22 May Shift 2

Algebra

>

Hard

Q123:

1

4

0

-2

Correct Answer

Option 3

Correct Answer

Explanation →

Q124:

22 May Shift 2

Algebra

>

Medium

Q124:

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (II), (B) - (III), (C) - (I), (D) - (IV)

(A) - (III), (B) - (I), (C) - (IV), (D) - (II)

(A) - (I), (B) - (IV), (C) - (II), (D) - (III)

Correct Answer

Option 3

Correct Answer

Explanation →

Q125:

22 May Shift 2

Algebra

>

Medium

Q125:

$\sqrt{2}$

$\frac{1}{2}$

$\frac{\sqrt{3}}{2}$

$\sqrt{3}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q126:

22 May Shift 2

Algebra

>

Medium

Q126:

$\lambda = -1$

$\lambda \neq -1$

$\lambda \neq 2$

$\lambda \neq 1$

Correct Answer

Option 2

Correct Answer

Explanation →

Q127:

22 May Shift 2

Algebra

>

Medium

Q127:

a symmetric matrix

a skew-symmetric matrix

both symmetric and skew-symmetric matrix

neither symmetric nor skew-symmetric matrix

Correct Answer

Option 4

Correct Answer

Explanation →

Q128:

22 May Shift 2

Algebra

>

Medium

Q128:

$\begin{bmatrix} 1 & 2 \\ -2 & 0 \end{bmatrix}$

$\begin{bmatrix} 1 & -2 \\ 2 & 0 \end{bmatrix}$

$\begin{bmatrix} 1 & 0 \\ 2 & -2 \end{bmatrix}$

$\begin{bmatrix} 1 & 2 \\ 2 & 0 \end{bmatrix}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q129:

22 May Shift 2

Algebra

>

Medium

Q129:

0

1

$(a - b)(b - c)(c - a)$

$(a + b)(b + c)(c + a)$

Correct Answer

Option 1

Correct Answer

Explanation →

Q130:

22 May Shift 2

Algebra

>

Medium

Q130:

(A), (B) and (C) only

(A), (C) and (D) only

(B) and (C) only

(B), (C) and (D) only

Correct Answer

Option 2

Correct Answer

Explanation →

Q131:

22 May Shift 2

Algebra

>

Easy

Q131:

(A) - (I), (B) - (II), (C) - (IV), (D) - (III)

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (I), (B) - (IV), (C) - (II), (D) - (III)

(A) - (III), (B) - (II), (C) - (I), (D) - (IV)

Correct Answer

Option 3

Correct Answer

Explanation →

Q132:

22 May Shift 2

Algebra

>

Medium

Q132:

$x = 0.5$ , $y = 1.5$ , $z = 1.5$

$x = 0.9$ , $y = 1.5$ , $z = 1.5$

$x = 1.5$ , $y = 1.55$ , $z = 0.9$

$x = 0.9$ , $y = 1.5$ , $z = 1.55$

Correct Answer

Option 4

Correct Answer

Explanation →

Q133:

22 May Shift 2

Algebra

>

Medium

Q133:

$2 \times 9! \times 10! \times 11!$

$2 \times 8! \times 9! \times 10!$

$2 \times 7! \times 8! \times 9!$

$2 \times 10! \times 11!$

Correct Answer

Option 3

Correct Answer

Explanation →

Q134:

22 May Shift 2

Algebra

>

Medium

Q134:

$\frac{15}{212}$

60

$\frac{212}{15}$

$\frac{1}{60}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q135:

22 May Shift 1

Algebra

>

Medium

Q135:

A

A - I

7(A - I)

I

Correct Answer

Option 3

Correct Answer

Explanation →

Q136:

22 May Shift 1

Algebra

>

Medium

Q136:

$a^3$

$a^6$

$a^9$

$a^{27}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q137:

22 May Shift 1

Algebra

>

Medium

Q137:

$\pm\sqrt{5}$

5

25

125

Correct Answer

Option 1

Correct Answer

Explanation →

Q138:

22 May Shift 1

Algebra

>

Easy

Q138:

(A) and (D) only

(B) and (C) only

(A) only

(A), (B), (C) and (D)

Correct Answer

Option 1

Correct Answer

Explanation →

Q139:

22 May Shift 1

Algebra

>

Medium

Q139:

-1

0

1

1529

Correct Answer

Option 2

Correct Answer

Explanation →

Q140:

22 May Shift 1

Algebra

>

Medium

Q140:

(A), (C) and (E) only

(A) and (E) only

(B), (D) and (E) only

(B) and (D) only

Correct Answer

Option 4

Correct Answer

Explanation →

Q141:

22 May Shift 1

Algebra

>

Medium

Q141:

(A), (B) and (E) only

(A), (B), (C) and (E) only

(B), (C) and (D) only

(C), (D) and (E) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q142:

22 May Shift 1

Algebra

>

Medium

Q142:

-1

0

1

2

Correct Answer

Option 1

Correct Answer

Explanation →

Q143:

22 May Shift 1

Algebra

>

Medium

Q143:

$k \in \mathbb{R} \sim \{3\}$

$k \in \mathbb{R} \sim \{-3\}$

$k \in \mathbb{R} \sim \{4\}$

$k \in \mathbb{R} \sim \{-4\}$

Correct Answer

Option 1

Correct Answer

Explanation →

Q144:

22 May Shift 1

Algebra

>

Medium

Q144:

1

126

-126

0

Correct Answer

Option 4

Correct Answer

Explanation →

Q145:

22 May Shift 1

Algebra

>

Medium

Q145:

0

22

16

36

Correct Answer

Option 2

Correct Answer

Explanation →

Q146:

22 May Shift 1

Algebra

>

Medium

Q146:

A+B is a skew-symmetric matrix

A-B is skew-symmetric matrix.

AB-BA is a symmetric matrix.

AB+BA is a symmetric matrix.

Correct Answer

Option 4

Correct Answer

Explanation →

Q147:

22 May Shift 1

Algebra

>

Medium

Q147:

$k \in \mathbb{R} \sim \{3\}$

$k \in \mathbb{R} \sim \{-3\}$

$k \in \mathbb{R} \sim \{4\}$

$k \in \mathbb{R} \sim \{-4\}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q148:

22 May Shift 1

Algebra

>

Medium

Q148:

$\frac{-1}{64}$

$\frac{1}{64}$

64

-64

Correct Answer

Option 2

Correct Answer

Explanation →

Q149:

22 May Shift 1

Algebra

>

Easy

Q149:

64

81

8

9

Correct Answer

Option 2

Correct Answer

Explanation →

Q150:

21 May Shift 2

Algebra

>

Easy

Q150:

7 elements

3 elements

21 elements

10 elements

Correct Answer

Option 2

Correct Answer

Explanation →

Q151:

21 May Shift 2

Algebra

>

Medium

Q151:

$\pm 1$

$\pm \frac{1}{3}$

$\pm 3$

$\pm \frac{1}{9}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q152:

21 May Shift 2

Algebra

>

Medium

Q152:

$\frac{1}{2}\begin{bmatrix} 2 & -8 \\ 0 & 2 \end{bmatrix}$

$\frac{1}{2}\begin{bmatrix} 2 & -6 \\ 0 & 1 \end{bmatrix}$

$\frac{1}{2}\begin{bmatrix} 2 & -8\ \\ 0 & 1 \end{bmatrix}$

$\frac{1}{2}\begin{bmatrix} 1 & -8 \\ 0 & 1 \end{bmatrix}$

Correct Answer

Option 1

Correct Answer

Explanation →

Q153:

21 May Shift 2

Algebra

>

Medium

Q153:

(A) and (B) only

(A), (C) and (D) only

(B), (C) and (D) only

(A) and (D) only

Correct Answer

Option 2

Correct Answer

Explanation →

Q154:

21 May Shift 2

Algebra

>

Medium

Q154:

$x > y = z$

$x = y > z$

$x = y < z$

$x \neq y \neq z$

Correct Answer

Option 1

Correct Answer

Explanation →

Q155:

21 May Shift 2

Algebra

>

Medium

Q155:

0

$-3$

$\pm 3$

3

Correct Answer

Option 3

Correct Answer

Explanation →

Q156:

21 May Shift 2

Algebra

>

Medium

Q156:

$x + y + z$

$2(x + y + z)$

1

0

Correct Answer

Option 4

Correct Answer

Explanation →

Q157:

21 May Shift 2

Algebra

>

Medium

Q157:

$k \neq \frac{5}{3}$

$k \neq 5$

$k \neq \frac{10}{3}$

$k \ =\frac{10}{3}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q158:

21 May Shift 2

Algebra

>

Hard

Q158:

$A + B = 0$

$B + C = 2$

$C + A = 1$

$B - A = 1$

Correct Answer

Option 4

Correct Answer

Explanation →

Q159:

21 May Shift 2

Algebra

>

Medium

Q159:

$\begin{bmatrix} 1 & 2 \\ 2 & 1 \\ 3 & -1 \end{bmatrix}$

$\begin{bmatrix} 3 & 1 \\ -2 & 0 \\ -2 & 1 \end{bmatrix}$

$\begin{bmatrix} 3 & 1 \\ 0 & -2 \\ -2 & 1 \end{bmatrix}$

$\begin{bmatrix} 4 & 3 \\ 2 & -1 \\ 1 & 0 \end{bmatrix}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q160:

21 May Shift 2

Algebra

>

Easy

Q160:

18

8

256

512

Correct Answer

Option 4

Correct Answer

Explanation →

Q161:

21 May Shift 2

Algebra

>

Medium

Q161:

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (II), (B) - (I), (C) - (III), (D) - (IV)

(A) - (III), (B) - (IV), (C) - (II), (D) - (I)

(A) - (IV), (B) - (III), (C) - (II), (D) - (I)

Correct Answer

Option 4

Correct Answer

Explanation →

Q162:

21 May Shift 2

Algebra

>

Medium

Q162:

(A), (B) and (D) only

(A), (B) and (C) only

(A), (C) and (D) only

(B), (C) and (D) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q163:

21 May Shift 2

Algebra

>

Medium

Q163:

(A) and (C) only

(A) only

(B) and (D) only

(B), (C) and (D) only

Correct Answer

Option 4

Correct Answer

Explanation →

Q164:

21 May Shift 2

Algebra

>

Medium

Q164:

4

16

9

36

Correct Answer

Option 3

Correct Answer

Explanation →

Q165:

21 May Shift 1

Algebra

>

Medium

Q165:

1

2

-2

0

Correct Answer

Option 1

Correct Answer

Explanation →

Q166:

21 May Shift 1

Algebra

>

Medium

Q166:

2 × 4

4 × 2

3 × 4

4 × 3

Correct Answer

Option 2

Correct Answer

Explanation →

Q167:

21 May Shift 1

Algebra

>

Medium

Q167:

(A) and (C) only

(A), (C) and (D) only

(B) and (D) only

(A) and (D) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q168:

21 May Shift 1

Algebra

>

Easy

Q168:

$\frac{1}{64} \begin{bmatrix} 2 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 8 \end{bmatrix}$

$\frac{1}{64} \begin{bmatrix} \frac{1}{2} & 0 & 0 \\ 0 & \frac{1}{4} & 0 \\ 0 & 0 & \frac{1}{8} \end{bmatrix}$

$\begin{bmatrix} 2 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 8 \end{bmatrix}$

$\frac{1}{64} \begin{bmatrix} \frac{1}{32} & 0 & 0 \\ 0 & \frac{1}{16} & 0 \\ 0 & 0 & \frac{1}{8} \end{bmatrix}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q169:

21 May Shift 1

Algebra

>

Medium

Q169:

-1

1

0

abc

Correct Answer

Option Drop

Correct Answer

Explanation →

Q170:

21 May Shift 1

Algebra

>

Medium

Q170:

5

-5

25

-25

Correct Answer

Option 3

Correct Answer

Explanation →

Q171:

21 May Shift 1

Algebra

>

Medium

Q171:

(A) and (B) only

(A), (B) and (D) only

(C) and (D) only

(B), (C) and (D) only

Correct Answer

Option 2

Correct Answer

Explanation →

Q172:

21 May Shift 1

Algebra

>

Medium

Q172:

(A) and (D) only

(A), (B) and (C) only

(B) and (D) only

(A), (B) and (D) only

Correct Answer

Option 4

Correct Answer

Explanation →

Q173:

21 May Shift 1

Algebra

>

Medium

Q173:

$k = -\frac{4}{5}$

$k ≠ -2$

$k \neq 2$

$k ≠ -\frac{4}{5}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q174:

21 May Shift 1

Algebra

>

Easy

Q174:

$x = 4, y = -6, z = 4$

$x = -4, y = 6, z = 4$

$x = -4, y = 6, z = -4$

$x = 4, y = -6, z = -4$

Correct Answer

Option 2

Correct Answer

Explanation →

Q175:

21 May Shift 1

Algebra

>

Medium

Q175:

$\frac{3}{5}$

$\frac{5}{3}$

$-\frac{5}{3}$

$-\frac{3}{5}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q176:

21 May Shift 1

Algebra

>

Medium

Q176:

2

-8

8

-2

Correct Answer

Option 4

Correct Answer

Explanation →

Q177:

21 May Shift 1

Algebra

>

Medium

Q177:

2

4

3

5

Correct Answer

Option 3

Correct Answer

Explanation →

Q178:

21 May Shift 1

Algebra

>

Medium

Q178:

9

11

12

10

Correct Answer

Option 2

Correct Answer

Explanation →

Q179:

21 May Shift 1

Algebra

>

Medium

Q179:

(A), (C) and (D) only

(A), (B) and (C) only

(C) and (D) only

(A) and (D) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q180:

19 May Shift 1

Algebra

>

Medium

Q180:

$\begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}$

$\begin{bmatrix} 20 & 20 \\ 0 & 20 \end{bmatrix}$

$\begin{bmatrix} 1 & 20 \\ 0 & 1 \end{bmatrix}$

$\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q181:

19 May Shift 1

Algebra

>

Medium

Q181:

(A), (B) and (C) only

(B), (C) and (D) only

(A) and (C) only

(A), (C) and (D) only

Correct Answer

Option 3

Correct Answer

Explanation →

Q182:

19 May Shift 1

Algebra

>

Medium

Q182:

3

27

9

1

Correct Answer

Option 3

Correct Answer

Explanation →

Q183:

19 May Shift 1

Algebra

>

Medium

Q183:

Null matrix

Identity matrix

Symmetric matrix

Skew-symmetric matrix

Correct Answer

Option 4

Correct Answer

Explanation →

Q184:

19 May Shift 1

Algebra

>

Medium

Q184:

21

-21

10

-4

Correct Answer

Option 2

Correct Answer

Explanation →

Q185:

19 May Shift 1

Algebra

>

Medium

Q185:

$\begin{bmatrix} -1 & 0 \\ 0 & -1 \end{bmatrix}$

$\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$

$\begin{bmatrix} 1 & 1 \\ 1 & 1 \end{bmatrix}$

$\begin{bmatrix} 0 & -1 \\ -1 & 0 \end{bmatrix}$

Correct Answer

Option 1

Correct Answer

Explanation →

Q186:

19 May Shift 1

Algebra

>

Easy

Q186:

P is a diagonal matrix

P is a square matrix

P is a zero matrix

P is an identity matrix

Correct Answer

Option 3

Correct Answer

Explanation →

Q187:

19 May Shift 1

Algebra

>

Medium

Q187:

$\pm 1$

$\pm 2$

$\pm 3$

$\pm 4$

Correct Answer

Option 4

Correct Answer

Explanation →

Q188:

19 May Shift 1

Algebra

>

Medium

Q188:

14

-4

-10

8

Correct Answer

Option 3

Correct Answer

Explanation →

Q189:

19 May Shift 1

Algebra

>

Hard

Q189:

100

320

400

1600

Correct Answer

Option 4

Correct Answer

Explanation →

Q190:

19 May Shift 1

Algebra

>

Medium

Q190:

(A), (B) and (D) only

(A), (B) and (C) only

(A) and (D) only

(B), (C) and (D) only

Correct Answer

Option 3

Correct Answer

Explanation →

Q191:

19 May Shift 1

Algebra

>

Medium

Q191:

$\alpha = 2, \beta = 1$

$\alpha = 2, \beta = -1$

$\alpha = 2, \beta = 0$

$\alpha = 1, \beta = 0$

Correct Answer

Option 3

Correct Answer

Explanation →

Q192:

19 May Shift 1

Algebra

>

Medium

Q192:

121

21

63

11

Correct Answer

Option 1

Correct Answer

Explanation →

Q193:

19 May Shift 1

Algebra

>

Medium

Q193:

$k = 3/2$

$k \neq 3/2$

$k \neq 0$

$k \neq 1/2$

Correct Answer

Option 2

Correct Answer

Explanation →

Q194:

19 May Shift 1

Algebra

>

Medium

Q194:

$\alpha + \beta = 1$

$\beta - \alpha = 1$

$\alpha + \beta = -2$

$\alpha\beta = 1$

Correct Answer

Option 2

Correct Answer

Explanation →

Q195:

16 May Shift 1

Algebra

>

Easy

Q195:

$\begin{bmatrix} 4 & 5 \\ -1 & -6 \end{bmatrix}$

$\begin{bmatrix} -4 & -5 \\ 1 & 6 \end{bmatrix}$

$\begin{bmatrix} -4 & 5 \\ 1 & 6 \end{bmatrix}$

$\begin{bmatrix} 4 & -5 \\ -1 & 6 \end{bmatrix}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q196:

16 May Shift 1

Algebra

>

Medium

Q196:

-135

-15

135

45

Correct Answer

Option 1

Correct Answer

Explanation →

Q197:

16 May Shift 1

Algebra

>

Easy

Q197:

(A), (B) and (D) only

(A), (B) and (C) only

(B), (C) and (D) only

(C) and (D) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q198:

16 May Shift 1

Algebra

>

Medium

Q198:

a symmetric matrix

a skew-symmetric matrix

neither a symmetric matrix nor a skew-symmetric

always an identity matrix

Correct Answer

Option 1

Correct Answer

Explanation →

Q199:

16 May Shift 1

Algebra

>

Medium

Q199:

a₁ b₁ = -a₂ b₂

a₁ b₁ = a₂ b₂

a₁ b₂ = a₂ b₁

a₁ b₂ = -a₂ b₁

Correct Answer

Option 3

Correct Answer

Explanation →

Q200:

16 May Shift 1

Algebra

>

Medium

Q200:

-15

-27

-81

-135

Correct Answer

Option 4

Correct Answer

Explanation →

Q201:

16 May Shift 1

Algebra

>

Easy

Q201:

(A) - (III), (B) - (II), (C) - (IV), (D) - (I)

(A) - (III), (B) - (II), (C) - (I), (D) - (IV)

(A) - (II), (B) - (III), (C) - (I), (D) - (IV)

(A) - (II), (B) - (III), (C) - (IV), (D) - (I)

Correct Answer

Option 4

Correct Answer

Explanation →

Q202:

16 May Shift 1

Algebra

>

Medium

Q202:

(A) and (D) only

(B) and (C) only

(B), (C) and (D) only

(A) only

Correct Answer

Option 2

Correct Answer

Explanation →

Q203:

16 May Shift 1

Algebra

>

Medium

Q203:

$±2\sqrt{6}$

$±6\sqrt{2}$

$±\sqrt{6}$

$\sqrt{6}$

Correct Answer

Option 1

Correct Answer

Explanation →

Q204:

16 May Shift 1

Algebra

>

Medium

Q204:

x = 1, y = 2, z = 3, w = 4

x = 2, y = 3, z = 1, w = 4

x = 2, y = 4, z = 1, w = 3

x = 1, y = 4, z = 2, w = 3

Correct Answer

Option 3

Correct Answer

Explanation →

Q205:

16 May Shift 1

Algebra

>

Medium

Q205:

(A), (B) and (D) only

(A), (B) and (C) only

(B) and (D) only

(C) and (D) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q206:

16 May Shift 1

Algebra

>

Medium

Q206:

1

0

8

2

Correct Answer

Option 2

Correct Answer

Explanation →

Q207:

16 May Shift 1

Algebra

>

Medium

Q207:

1

0

abc

$(a+b+c)^2abc$

Correct Answer

Option 2

Correct Answer

Explanation →

Q208:

16 May Shift 1

Algebra

>

Medium

Q208:

(A) - (II), (B) - (I), (C) - (III), (D) - (IV)

(A) - (I), (B) - (II), (C) - (IV), (D) - (IV)

(A) - (I), (B) - (II), (C) - (IV), (D) - (III)

(A) - (III), (B) - (II), (C) - (IV), (D) - (I)

Correct Answer

Option 4

Correct Answer

Explanation →

Q209:

16 May Shift 1

Algebra

>

Medium

Q209:

8

-8

-32

32

Correct Answer

Option 4

Correct Answer

Explanation →

Q210:

15 May Shift 2

Algebra

>

Medium

Q210:

n × n

m × m

m × n

n × m

Correct Answer

Option 3

Correct Answer

Explanation →

Q211:

15 May Shift 2

Algebra

>

Medium

Q211:

100

± 1000

320

± 320

Correct Answer

Option 2

Correct Answer

Explanation →

Q212:

15 May Shift 2

Algebra

>

Easy

Q212:

9

-1

7

3

Correct Answer

Option 4

Correct Answer

Explanation →

Q213:

15 May Shift 2

Algebra

>

Medium

Q213:

5

-3

-6

9

Correct Answer

Option 4

Correct Answer

Explanation →

Q214:

15 May Shift 2

Algebra

>

Medium

Q214:

a symmetric matrix

a skew-symmetric matrix

neither a symmetric nor a skew-symmetric

always a diagonal matrix

Correct Answer

Option 2

Correct Answer

Explanation →

Q215:

15 May Shift 2

Algebra

>

Medium

Q215:

$\lambda = 5$ and $\mu \neq 9$

$\lambda \neq 9$ and $\mu = 5$

$\lambda = 5$ and $\mu = 9$

$\lambda = 5$ and $\mu = 5$

Correct Answer

Option 3

Correct Answer

Explanation →

Q216:

15 May Shift 2

Algebra

>

Medium

Q216:

17 I

-17 I

15 I

-15 I

Correct Answer

Option 2

Correct Answer

Explanation →

Q217:

15 May Shift 2

Algebra

>

Medium

Q217:

$\begin{bmatrix} 15 & 6 \\ 9 & 8 \end{bmatrix}$

$\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$

$\begin{bmatrix} 15 & 9 \\ -12 & -6 \end{bmatrix}$

$\begin{bmatrix} 15 & 9 \\ 6 & 12 \end{bmatrix}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q218:

15 May Shift 2

Algebra

>

Medium

Q218:

72

-144

288

144

Correct Answer

Option 3

Correct Answer

Explanation →

Q219:

15 May Shift 2

Algebra

>

Hard

Q219:

(A) - (IV), (B) - (II), (C) - (III), (D) - (I)

(A) - (I), (B) - (III), (C) - (II), (D) - (IV)

(A) - (II), (B) - (IV), (C) - (I), (D) - (III)

(A) - (III), (B) - (I), (C) - (IV), (D) - (II)

Correct Answer

Option 4

Correct Answer

Explanation →

Q220:

15 May Shift 2

Algebra

>

Medium

Q220:

(A), (B) and (C) only

(B) and (D) only

(A) and (C) only

(C) and (D) only

Correct Answer

Option 4

Correct Answer

Explanation →

Q221:

15 May Shift 2

Algebra

>

Easy

Q221:

0

1

2

3

Correct Answer

Option 3

Correct Answer

Explanation →

Q222:

15 May Shift 2

Algebra

>

Medium

Q222:

(A), (B) and (C) only

(B) and (D) only

(A) and (C) only

(B), (C) and (D) only

Correct Answer

Option 2

Correct Answer

Explanation →

Q223:

15 May Shift 2

Algebra

>

Medium

Q223:

(AB+BA) is skew symmetric matrix.

(AB+BA) is always a diagonal matrix.

(AB+BA) is a symmetric matrix.

(AB-BA) is a symmetric matrix.

Correct Answer

Option 3

Correct Answer

Explanation →

Q224:

15 May Shift 2

Algebra

>

Medium

Q224:

(A) - (IV), (B) - (III), (C) - (I), (D) - (II)

(A) - (I), (B) - (II), (C) - (IV), (D) - (III)

(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

(A) - (IV), (B) - (III), (C) - (II), (D) - (I)

Correct Answer

Option 4

Correct Answer

Explanation →

Q225:

15 May Shift 1

Algebra

>

Medium

Q225:

125

-125

625

-625

Correct Answer

Option 4

Correct Answer

Explanation →

Q226:

15 May Shift 1

Algebra

>

Easy

Q226:

8

16

32

64

Correct Answer

Option 4

Correct Answer

Explanation →

Q227:

15 May Shift 1

Algebra

>

Medium

Q227:

5I

5A

7I

7A

Correct Answer

Option 1

Correct Answer

Explanation →

Q228:

15 May Shift 1

Algebra

>

Medium

Q228:

0

1

$\det A$

$\frac{1}{\det A}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q229:

15 May Shift 1

Algebra

>

Medium

Q229:

$l = 3, m = 2$

$l = -3, m = 2$

$l = 2, m = 3$

$l = 2, m = -3$

Correct Answer

Option 3

Correct Answer

Explanation →

Q230:

15 May Shift 1

Algebra

>

Medium

Q230:

$\Delta=\frac12\left| \begin{array}{ccc} x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1 \end{array} \right|$

$\Delta=\left| \begin{array}{ccc} x_1 & y_1 & 1\\ x_2 & y_2 & 1\\ x_3 & y_3 & 1 \end{array} \right|$

$\Delta=\frac12\left| \begin{array}{ccc} x_1 & y_1 & 1\\ x_2 & y_2 & 0\\ x_3 & y_3 & 0 \end{array} \right|$

$\Delta=\left| \begin{array}{ccc} x_1 & y_1 & 1\\ x_2 & y_2 & 0\\ x_3 & y_3 & 0 \end{array} \right|$

Correct Answer

Option 1

Correct Answer

Explanation →

Q231:

15 May Shift 1

Algebra

>

Medium

Q231:

$\begin{bmatrix} 2 & -4 & -6 \\ 1 & -2 & -3 \\ 4 & -8 & -12 \end{bmatrix}$

$\begin{bmatrix} 2 & 1 & 4 \\ -4 & -2 & -8\\ -6 & -3 & -12 \end{bmatrix}$

[12]

[-12]

Correct Answer

Option 4

Correct Answer

Explanation →

Q232:

15 May Shift 1

Algebra

>

Medium

Q232:

a null matrix

an identity matrix

a symmetric matrix

a skew-symmetric matrix

Correct Answer

Option 4

Correct Answer

Explanation →

Q233:

15 May Shift 1

Algebra

>

Medium

Q233:

0

$-xy$

$xy$

$x^2y^2$

Correct Answer

Option 3

Correct Answer

Explanation →

Q234:

15 May Shift 1

Algebra

>

Medium

Q234:

$\lambda = 5$ and $\mu = 7$

$\lambda \ne 1$ and $\mu = 5$

$\lambda = 5$ and $\mu$ is any real number

$\lambda \ne 1$ and $\mu \ne 5$

Correct Answer

Option 3

Correct Answer

Explanation →

Q235:

15 May Shift 1

Algebra

>

Medium

Q235:

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (II), (B) - (I), (C) - (III), (D) - (IV)

(A) - (III), (B) - (IV), (C) - (II), (D) - (I)

(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

Correct Answer

Option 3

Correct Answer

Explanation →

Q236:

15 May Shift 1

Algebra

>

Medium

Q236:

(A) and (B) only

(A), (B) and (C) only

(A), (B), (C) and (D)

(C) and (D) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q237:

15 May Shift 1

Algebra

>

Easy

Q237:

1

2

4

8

Correct Answer

Option 3

Correct Answer

Explanation →

Q238:

15 May Shift 1

Algebra

>

Easy

Q238:

256

81

243

512

Correct Answer

Option 4

Correct Answer

Explanation →

Q239:

15 May Shift 1

Algebra

>

Medium

Q239:

$\begin{bmatrix} 1 & 0 \\ 0 & 1 \end{bmatrix}$

$\begin{bmatrix} 1 & 1 \\ 0 & 1 \end{bmatrix}$

$\begin{bmatrix} 1 & 1 \\ 1 & 0 \end{bmatrix}$

$\begin{bmatrix} 1 & -1 \\ 1 & 0 \end{bmatrix}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q240:

14 May Shift 2

Algebra

>

Medium

Q240:

0

3

5

-5

Correct Answer

Option 4

Correct Answer

Explanation →

Q241:

14 May Shift 2

Algebra

>

Medium

Q241:

Symmetric matrix

Skew symmetric matrix

Null matrix

Diagonal matrix

Correct Answer

Option 2

Correct Answer

Explanation →

Q242:

14 May Shift 2

Algebra

>

Medium

Q242:

$x = 3, y = 2$

$x = 2, y = 3$

$x = -3, y = -2$

$x = 3, y = -2$

Correct Answer

Option 1

Correct Answer

Explanation →

Q243:

14 May Shift 2

Algebra

>

Medium

Q243:

2

3

4

5

Correct Answer

Option 2

Correct Answer

Explanation →

Q244:

14 May Shift 2

Algebra

>

Medium

Q244:

$\mathbb{R} - \{2\}$ where $\mathbb{R}$ is set of real numbers.

$-2 \leq \lambda \leq 2$

$-4 < \lambda < 4$

2

Correct Answer

Option 1

Correct Answer

Explanation →

Q245:

14 May Shift 2

Algebra

>

Medium

Q245:

(A), (B) and (C) only

(A) and (B) only

(A), (B) and (D) only

(C) and (D) only

Correct Answer

Option 2

Correct Answer

Explanation →

Q246:

14 May Shift 2

Algebra

>

Medium

Q246:

$\pm 4\sqrt{2}$

$2\sqrt{2}$

$4\sqrt{3}$

$\pm 4\sqrt{3}$

Correct Answer

Option 1

Correct Answer

Explanation →

Q247:

14 May Shift 2

Algebra

>

Medium

Q247:

4

16

64

128

Correct Answer

Option 3

Correct Answer

Explanation →

Q248:

14 May Shift 2

Algebra

>

Medium

Q248:

32

0

50

18

Correct Answer

Option 3

Correct Answer

Explanation →

Q249:

14 May Shift 2

Algebra

>

Medium

Q249:

0

30

-30

60

Correct Answer

Option 2

Correct Answer

Explanation →

Q250:

14 May Shift 2

Algebra

>

Medium

Q250:

$x = -1, y = 0$

$x = \frac{-1}{2}, y = 0$

$x = 1, y = -1$

$x = 0, y = -1$

Correct Answer

Option 2

Correct Answer

Explanation →

Q251:

14 May Shift 2

Algebra

>

Medium

Q251:

$I + 3A^2$

$I + 3A^{-1}$

$2(3I + A^{-1})$

$2(I + 3A^{-1})$

Correct Answer

Option 4

Correct Answer

Explanation →

Q252:

14 May Shift 2

Algebra

>

Medium

Q252:

If A is a singular matrix, then AX = B has a unique solution.

If A is a non-singular matrix, then AX = B has infinitely many solutions.

If A is a non-singular matrix, then AX = B has a unique solution.

If A is a singular matrix, then AX = B is always consistent.

Correct Answer

Option 3

Correct Answer

Explanation →

Q253:

14 May Shift 2

Algebra

>

Easy

Q253:

64

6

32

16

Correct Answer

Option 1

Correct Answer

Explanation →

Q254:

14 May Shift 2

Algebra

>

Medium

Q254:

1/3

3

6

81

Correct Answer

Option 4

Correct Answer

Explanation →

Q255:

14 May Shift 1

Algebra

>

Easy

Q255:

$\begin{bmatrix} 0 & 0 \\ 0 & 0 \end{bmatrix}$

$\begin{bmatrix} 0 & -1 \\ 1 & 0 \end{bmatrix}$

$\begin{bmatrix} 0 & 1 \\ -1 & 0 \end{bmatrix}$

$\begin{bmatrix} 1 & 1 \\ 1 & -1 \end{bmatrix}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q256:

14 May Shift 1

Algebra

>

Medium

Q256:

A

2A

3A

5A

Correct Answer

Option 4

Correct Answer

Explanation →

Q257:

14 May Shift 1

Algebra

>

Medium

Q257:

3

9

27

81

Correct Answer

Option 3

Correct Answer

Explanation →

Q258:

14 May Shift 1

Algebra

>

Easy

Q258:

(A) - (IV), (B) - (III), (C) - (II), (D) - (I)

(A) - (IV), (B) - (III), (C) - (I), (D) - (II)

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (I), (B) - (II), (C) - (IV), (D) - (III)

Correct Answer

Option 2

Correct Answer

Explanation →

Q259:

14 May Shift 1

Algebra

>

Medium

Q259:

$adj A = |A|A^{-1}$

$(A + B)^{-1} = A^{-1} + B^{-1}$

$|A^{-1}| = |A|^{-1}$

$(AB)^{-1} = B^{-1}A^{-1}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q260:

14 May Shift 1

Algebra

>

Medium

Q260:

(A), (C) and (D) only

(B), (C) and (D) only

(B) only

(B) and (C) only

Correct Answer

Option 2

Correct Answer

Explanation →

Q261:

14 May Shift 1

Algebra

>

Medium

Q261:

$\theta = 2n\pi + \frac{\pi}{3}$ , $n \in \mathbb{Z}$

$\theta = n\pi$ , $n \in \mathbb{Z}$

$\theta = (2n + 1)\frac{\pi}{2}$ , $n \in \mathbb{Z}$

$\theta = 2n\pi + \frac{\pi}{6}$ , $n \in \mathbb{Z}$

Correct Answer

Option 1

Correct Answer

Explanation →

Q262:

14 May Shift 1

Algebra

>

Medium

Q262:

$A^3 + B^5$ is skew-symmetric

$A^{19}$ is skew-symmetric

$B^{14}$ is symmetric

$A^4 + B^5$ is symmetric

Correct Answer

Option 4

Correct Answer

Explanation →

Q263:

14 May Shift 1

Algebra

>

Medium

Q263:

$5^2 .|A|.|B|$

$5^3 .|A|.|B|$

$5^2|AB|$

$5^3 |AB|$

Correct Answer

Option 3

Correct Answer

Explanation →

Q264:

14 May Shift 1

Algebra

>

Medium

Q264:

(A) and (B) only

(A), (B), (C) and (E) only

(A), (D) and (E) only

(A), (C) and (E) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q265:

14 May Shift 1

Algebra

>

Medium

Q265:

If two rows or two columns of a determinant are identical, then the value of the determinant is zero.

If all the elements in any one row of the determinant are zero, then the determinant value is zero.

The value of the determinant remains unchanged if its rows and columns are interchanged.

If any two rows of a determinant are interchanged, then the sign of the determinant remains unchanged.

Correct Answer

Option 4

Correct Answer

Explanation →

Q266:

14 May Shift 1

Algebra

>

Medium

Q266:

(A) - (I), (B) - (II), (C) - (III), (D) - (IV)

(A) - (I), (B) - (III), (C) - (II), (D) - (IV)

(A) - (III), (B) - (I), (C) - (IV), (D) - (II)

(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

Correct Answer

Option 3

Correct Answer

Explanation →

Q267:

14 May Shift 1

Algebra

>

Medium

Q267:

15

45

225

150

Correct Answer

Option 3

Correct Answer

Explanation →

Q268:

14 May Shift 1

Algebra

>

Easy

Q268:

7

4/3

1

5

Correct Answer

Option 1

Correct Answer

Explanation →

Q269:

14 May Shift 1

Algebra

>

Hard

Q269:

30

18

34

24

Correct Answer

Option 4

Correct Answer

Explanation →

Q270:

13 May Shift 2

Algebra

>

Medium

Q270:

10

-10

-2

2

Correct Answer

Option 4

Correct Answer

Explanation →

Q271:

13 May Shift 2

Algebra

>

Medium

Q271:

$3^6$

$3^9$

$3^{12}$

$3^{18}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q272:

13 May Shift 2

Algebra

>

Easy

Q272:

$\begin{bmatrix} -1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & -1 \end{bmatrix}$

$\begin{bmatrix} -1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{bmatrix}$

$\begin{bmatrix} 1 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & -1 \end{bmatrix}$

$\begin{bmatrix} 1 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & 1 \end{bmatrix}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q273:

13 May Shift 2

Algebra

>

Medium

Q273:

(A), (C) and (D) only

(B), (C) and (D) only

(A), (B), (C) and (D) only

(A), (B), (D) and (E) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q274:

13 May Shift 2

Algebra

>

Medium

Q274:

(A) and (C) only

(B) and (C) only

(B), (D) and (E) only

(A), (C) and (E) only

Correct Answer

Option 3

Correct Answer

Explanation →

Q275:

13 May Shift 2

Algebra

>

Medium

Q275:

(A) and (C) only

(C) only

(D) only

(B) and (D) only

Correct Answer

Option 4

Correct Answer

Explanation →

Q276:

13 May Shift 2

Algebra

>

Medium

Q276:

-9

-81

-3

-27

Correct Answer

Option 2

Correct Answer

Explanation →

Q277:

13 May Shift 2

Algebra

>

Medium

Q277:

(A) and (C) only

(A) and (E) only

(B) only

(D) and (E) only

Correct Answer

Option 3

Correct Answer

Explanation →

Q278:

13 May Shift 2

Algebra

>

Easy

Q278:

1

6

-3

3

Correct Answer

Option 2

Correct Answer

Explanation →

Q279:

13 May Shift 2

Algebra

>

Medium

Q279:

$0$

$4I$

$5A$

$2I$

Correct Answer

Option 2

Correct Answer

Explanation →

Q280:

13 May Shift 2

Algebra

>

Medium

Q280:

(B) and (D) only

(A), (B) and (C) only

(A) and (D) only

(B) and (C) only

Correct Answer

Option 4

Correct Answer

Explanation →

Q281:

13 May Shift 2

Algebra

>

Easy

Q281:

1

9

0

1/9

Correct Answer

Option 4

Correct Answer

Explanation →

Q282:

13 May Shift 2

Algebra

>

Medium

Q282:

24

12

0

-12

Correct Answer

Option 1

Correct Answer

Explanation →

Q283:

13 May Shift 2

Algebra

>

Easy

Q283:

(A) - (IV), (B) - (III), (C) - (I), (D) - (II)

(A) - (IV), (B) - (III), (C) - (II), (D) - (I)

(A) - (IV), (B) - (II), (C) - (I), (D) - (III)

(A) - (III), (B) - (IV), (C) - (I), (D) - (II)

Correct Answer

Option 2

Correct Answer

Explanation →

Q284:

13 May Shift 2

Algebra

>

Medium

Q284:

(A) and (D) only

(A) and (C) only

(B) and (D) only

(A) only

Correct Answer

Option 2

Correct Answer

Explanation →

Q285:

13 May Shift 2

Algebra

>

Medium

Q285:

4

5

6

3

Correct Answer

Option 1

Correct Answer

Explanation →

Q286:

13 May Shift 1

Algebra

>

Medium

Q286:

$(AB)^{-1} = B^{-1}A^{-1}$

$adj(AB) = (adj A)(adj B)$

$adj A^T = (adj A)^T$

$|A^{-1}| = (|A|)^{-1}$

Correct Answer

Option 2

Correct Answer

Explanation →

Q287:

13 May Shift 1

Algebra

>

Medium

Q287:

1

$\frac{15}{4}$

$\frac{4}{15}$

-1

Correct Answer

Option 2

Correct Answer

Explanation →

Q288:

13 May Shift 1

Algebra

>

Easy

Q288:

4

12

24

30

Correct Answer

Option 2

Correct Answer

Explanation →

Q289:

13 May Shift 1

Algebra

>

Medium

Q289:

$A^2 - B^2$

$A^2 - B^2 + BA - AB$

$A^2 - BA - AB - B^2$

$B^2 + A^2 + AB - BA$

Correct Answer

Option 2

Correct Answer

Explanation →

Q290:

13 May Shift 1

Algebra

>

Medium

Q290:

a symmetric matrix

a skew symmetric matrix

neither a symmetric matrix nor a skew-symmetric matrix

a null matrix

Correct Answer

Option 2

Correct Answer

Explanation →

Q291:

13 May Shift 1

Algebra

>

Easy

Q291:

(A) - (II), (B) - (IV), (C) - (I), (D) - (III)

(A) - (II), (B) - (IV), (C) - (III), (D) - (I)

(A) - (II), (B) - (I), (C) - (III), (D) - (IV)

(A) - (II), (B) - (I), (C) - (IV), (D) - (III)

Correct Answer

Option 4

Correct Answer

Explanation →

Q292:

13 May Shift 1

Algebra

>

Easy

Q292:

$[14]$

$[1 \quad 4 \quad 9]$

$\begin{bmatrix} 1 & 2 & 3 \\ 2 & 4 & 6 \\ 3 & 6 & 9 \end{bmatrix}$

$\begin{bmatrix} 1 \\ 4 \\ 9 \end{bmatrix}$

Correct Answer

Option 3

Correct Answer

Explanation →

Q293:

13 May Shift 1

Algebra

>

Hard

Q293:

(A) and (D) only

(A), (B) and (C) only

(B), (C) and (D) only

(C) and (D) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q294:

13 May Shift 1

Algebra

>

Medium

Q294:

$\frac{6}{7}$

$-\frac{6}{7}$

$-\frac{10}{7}$

$\frac{10}{7}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q295:

13 May Shift 1

Algebra

>

Medium

Q295:

0

1

3

27

Correct Answer

Option 1

Correct Answer

Explanation →

Q296:

13 May Shift 1

Algebra

>

Medium

Q296:

$\begin{bmatrix} 7 & 1 & -4 \\ 2 & -1 & 3 \\ 9 & 0 & -1 \end{bmatrix}$

$\begin{bmatrix} 14 & 2 & -8 \\ -7 & -1 & 4 \\ 21 & 3 & -12 \end{bmatrix}$

$\begin{bmatrix} 14 & -7 & 21 \\ 2 & -1 & 3 \\ 1 & 3 & -12 \end{bmatrix}$

$\begin{bmatrix} 14 & -7 & 21 \\ 2 & -1 & 3 \\ -8 & 4 & -12 \end{bmatrix}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q297:

13 May Shift 1

Algebra

>

Medium

Q297:

(B) and (D) only

(A), (B) and (C) only

(A), (C) and (D) only

(A) and (D) only

Correct Answer

Option 3

Correct Answer

Explanation →

Q298:

13 May Shift 1

Algebra

>

Medium

Q298:

(A), (B) and (D) only

(A), (B) and (C) only

(A), (C) and (D) only

(C) and (D) only

Correct Answer

Option 3

Correct Answer

Explanation →

Q299:

13 May Shift 1

Algebra

>

Medium

Q299:

$A + I$ , where $I$ is the identity matrix of order 3.

$A - I$ , where $I$ is the identity matrix of order 3.

$2A$

$3A$

Correct Answer

Option 3

Correct Answer

Explanation →

Q300:

13 May Shift 1

Algebra

>

Medium

Q300:

If matrix B is the inverse of matrix A, then A is the inverse of B.

A rectangular matrix of order $m \times n$ , $m \neq n$ does not possess an inverse.

If A and B are symmetric matrices of the same order, then (AB-BA) is a skew-symmetric matrix.

If a square matrix is invertible, then it may have more than one inverse.

Correct Answer

Option 4

Correct Answer

Explanation →

Q301:

CUET Mathematics 2024 Slot 1

Algebra

>

Easy

Q301:

symmetric matrix

zero matrix

skew symmetric matrix

identity matrix

Correct Answer

Option 3

Correct Answer

Explanation →

Q302:

CUET Mathematics 2024 Slot 1

Algebra

>

Easy

Q302:

$8$

$64$

$16$

$4$

Correct Answer

Option 2

Correct Answer

Explanation →

Q303:

CUET Mathematics 2024 Slot 1

Algebra

>

Easy

Q303:

$x=1, y=3$

$x=2, y=1$

$x=3, y=3$

$x=3, y=1$

Correct Answer

Option 2

Correct Answer

Explanation →

Q304:

CUET Mathematics 2024 Slot 1

Algebra

>

Easy

Q304:

$\mathrm{I}+\mathrm{A}$

$\mathrm{I}+2 \mathrm{~A}$

$\mathrm{I}-\mathrm{A}$

$\mathrm{A}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q305:

CUET Mathematics 2024 Slot 1

Algebra

>

Easy

Q305:

(B) and (D) only

(A) and (D) only

(A), (C) and (D) only

(B), (C) and (D) only

Correct Answer

Option 2

Correct Answer

Explanation →

Q306:

CUET Mathematics 2024 Slot 1

Algebra

>

Easy

Q306:

(A), (B) and (D) only

(A), (B) and (C) only

(A), (B), (C) and (D)

(B), (C) and (D) only

Correct Answer

Option 1

Correct Answer

Explanation →

Q307:

CUET Mathematics 2024 Slot 1

Algebra

>

Easy

Q307:

$\left[\begin{array}{ccc}4 & 5 & 7 \\ -3 & -3 & 0 \\ 0 & -3 & -2\end{array}\right]$

$\left[\begin{array}{rrr}-2 & 4 & 2 \\ 4 & -8 & -4 \\ -1 & 2 & 1\end{array}\right]$

$\left[\begin{array}{rrr}5 & 5 & 2 \\ 7 & 6 & 7 \\ -9 & -7 & 0\end{array}\right]$

$\left[\begin{array}{rrr}-2 & 4 & 8 \\ 7 & 5 & 7 \\ -8 & -2 & 6\end{array}\right]$

Correct Answer

Option 2

Correct Answer

Explanation →

Q308:

CUET Mathematics 2024 Slot 1

Algebra

>

Easy

Q308:

(A), (C) and (D) only

(A), (B) and (C) only

(A), (B), (C) and (D)

(B), (C) and (D) only

Correct Answer

Option 4

Correct Answer

Explanation →

Q309:

CUET Mathematics 2024 Slot 1

Algebra

>

Medium

Q309:

15

30

45

90

Correct Answer

Option 3

Correct Answer

Explanation →

Q310:

CUET Mathematics 2024 Slot 1

Algebra

>

Medium

Q310:

12

15

10

14

Correct Answer

Option 3

Correct Answer

Explanation →

Q311:

CUET Mathematics 2024 Slot 1

Algebra

>

Easy

Q311:

0

1

2

Not Defined

Correct Answer

Option 3

Correct Answer

Explanation →

Q312:

CUET Mathematics 2024 Slot 1

Algebra

>

Conceptual

Q312:

$-1$

$8$

$2$

$0$

Correct Answer

Option 4

Correct Answer

Explanation →

Q313:

CUET Mathematics 2024 Slot 1

Algebra

>

Medium

Q313:

$2 Y$

$I+3 X$

$I+3 Y$

$3 \mathrm{Y}$

Correct Answer

Option 4

Correct Answer

Explanation →

Q314:

CUET Mathematics 2024 Slot 1

Algebra

>

Easy

Q314:

(A), (B) and (D) only

(A), (B) and (C) only

(A), (B), (C) and (D)

(B), (C) and (D) only

Correct Answer

Option 1

Correct Answer

Explanation →

CUET Mathematics Algebra > Matrices & Determinants PYQs

Q1:

Q1:

Q2:

Q2:

Q3:

Q3:

Q4:

Q4:

Q5:

Q5:

Q6:

Q6:

Q7:

Q7:

Q8:

Q8:

Q9:

Q9:

Q10:

Q10:

Q11:

Q11:

Q12:

Q12:

Q13:

Q13:

Q14:

Q14:

Q15:

Q15:

Q16:

Q16:

Q17:

Q17:

Q18:

Q18:

Q19:

Q19:

Q20:

Q20:

Q21:

Q21:

Q22:

Q22:

Q23:

Q23:

Q24:

Q24:

Q25:

Q25:

Q26:

Q26:

Q27:

Q27:

Q28:

Q28:

Q29:

Q29:

Q30:

Q30:

Q31:

Q31:

Q32:

Q32:

Q33:

Q33:

Q34:

Q34:

Q35:

Q35:

Q36:

Q36:

Q37:

Q37:

Q38:

Q38:

Q39:

Q39:

Q40: