CUET Mathematics Applied Mathematics > Algebra PYQs

abc

$a^2 b^2 c^2$

$a + b + c$

0

0

1

2

3

7

-7

8

-8

(A) and (C) only

(C) and (D) only

(B) and (D) only

(B) and (C) only

$\begin{bmatrix} -6 & 6 & 0 \\ 9 & 3 & 12 \end{bmatrix}$

$\begin{bmatrix} -10 & 0 & 10 \\ 35 & 5 & 30 \end{bmatrix}$

$\begin{bmatrix} -8 & 3 & 5 \\ -13 & -1 & -9 \end{bmatrix}$

$\begin{bmatrix} 7 & 1 & 6 \\ 2 & 0 & -2 \end{bmatrix}$

$x \leq 3$

$x \geq \frac{5}{3}$

$\frac{5}{3} \leq x \leq 3$

$x \leq \frac{5}{3}$ or $x \geq 3$

(A) and (E) only

(B) and (E) only

(C) and (D) only

(B) and (D) only

16

12

15

10

24

4

5

2

B

aB

$B^a$

A+B

A is a diagonal matrix

A is a zero matrix

A is a scalar matrix

A is a square matrix

4

1

2

6

-1

8

2

0

$A = B$

$A \cap B = \emptyset$

$A \subset B$ but $A \neq B$

$P(A) = P(B)$

dependent events

independent event

$P(A \cap B) = \frac{1}{3}$

$P(B) = \frac{1}{3}$

-5

• 10

10

0

1

$2\sqrt{3}$

$\pm\sqrt{3}$

$\pm 2\sqrt{3}$

6 x 4

12 x 12

8 x 3

1 x 24

$\frac{1}{3}$

$\frac{1}{6}$

$\frac{1}{9}$

$\frac{1}{18}$

3

2

6

25

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

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

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

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

a = -4 , b = 0 , c = -5

a = 4 , b = 0 , c = 5

a = -4 , b = 1 , c = -5

a = 4 , b = 1 , c = 5

$\begin{bmatrix} 16 & 8 \\ 56 & 32 \end{bmatrix}$

$\begin{bmatrix} 3 & -14 \\ 4 & 17 \end{bmatrix}$

$\begin{bmatrix} -1 & -13 \\ 36 & 17 \end{bmatrix}$

$\begin{bmatrix} -191 & -110 \\ 77 & 44 \end{bmatrix}$

4

6

8

10

$\begin{bmatrix} -2 & 5 \\ 1 & 10 \end{bmatrix}$

$\begin{bmatrix} 8 & 13 \\ -2 & 12 \end{bmatrix}$

$\begin{bmatrix} -8 & 13 \\ 3 & 12 \end{bmatrix}$

$\begin{bmatrix} 7 & 10 \\ -3 & 12 \end{bmatrix}$

81

27

64

512

$\sqrt{6}$

$\sqrt{7}$

$2\sqrt{3}$

$2\sqrt{2}$

{3, 7}

{1, 3, 7}

{3, 21}

{3, 7, 21}

$\left(-\infty, \frac{141}{11}\right]$

$\left(-\infty, \frac{141}{11}\right)$

$\left[-\frac{141}{11}, \infty\right)$

$\left(-\frac{141}{11}, \infty\right)$

1

4

0

3

432

476

676

576

0

2

4

8

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

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

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

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

{2, 13, 24, 35, ----}

{16, 27, 38, 49, ----}

{5, 16, 27, 38, 49, ----}

{4, 15, 26, 37, ----}

$14b - 12a \geq 3$

$14a - 12b \geq 3$

$12a - 14b \geq 3$

$12b + 14a \leq -3$

4

2

1

0

$2b\sqrt{ac}$

$2a\sqrt{bc}$

$2c\sqrt{ab}$

$2\sqrt{abc}$

(A), (B) Only

(B), (C), (D) Only

(A), (C), (D) Only

(A), (B), (D) Only

$[6] = \{6, 15, 24, 33, 42, 50\}$

$[6] = \{6, 15, 24, 33, 42\}$

$[6] = \{6, 15, 24, 33\}$

$[6] = \{6, 15, 24\}$

$x > \frac{5}{3}$

$x \geq \frac{5}{3}$

$x < \frac{5}{3}$

$x \leq \frac{5}{3}$

0

1

2

6

15

34

25

16

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

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

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

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

$\begin{bmatrix} 5 & 4 \\ -2 & 4 \end{bmatrix}$

$\begin{bmatrix} 25 & 4 \\ -2 & 4 \end{bmatrix}$

$\begin{bmatrix} 21 & 4 \\ -2 & 4 \end{bmatrix}$

$\begin{bmatrix} 31 & 4 \\ -2 & 4 \end{bmatrix}$

5 cm

6 cm

7 cm

8 cm

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

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

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

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

$57$

$5$

$11$

$2$