CUET Mathematics 2023 30 May Shift 3 PYQs

$x^2 = \frac{26}{3}$

$x^2 = \frac{25}{3}$

$x^2 = \frac{23}{3}$

$x^2 = \frac{28}{3}$

$x = 2$, $y = 3$

$x = 1$, $y = 2$

$x = 3$, $y = 2$

$x = -2$, $y = -3$

14

10

36

26

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

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

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

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

$\frac{28}{3}$ sq. unit

$\frac{27}{2}$ sq. unit

$\frac{25}{2}$ sq. unit

$\frac{27}{5}$ sq. unit

$\frac{3}{8}$

$\frac{1}{4}$

$\frac{5}{8}$

$\frac{1}{8}$

the value of the determinant

0

sum of cofactors

adjoint of matrix

$m \times p$

$m \times n$

$p \times n$

$m \times 2$

$\frac{x}{y}$

$\frac{b^2 x}{a^2 y}$

$\frac{bx}{ay}$

$\frac{a^2 y}{b^2 x}$

$\frac{x^3}{3} + \frac{1}{x} - 2x + c$

$\frac{x^3}{3} - \frac{1}{x} + 2x + c$

$\frac{x^3}{3} - \frac{1}{x} - 2x + c$

$\frac{x^3}{3} + \frac{1}{x} + 2x + c$

$\frac{1}{t}$

$\frac{1}{t^2}$

$-\frac{1}{t}$

$-\frac{1}{t^2}$

$m = 3, n = 3$

$m = 2, n = 3$

$m = 3, n = 2$

$m = 3, n = 5$

120

110

100

90

2

$\frac{1}{2}$

1

$\frac{3}{2}$

Linear

Quadratic

Cubic

Biquadratic

$x = y$

$x = 0, y = 3$

$x = 3, y = 0$

$x + y = 3$

Reflexive and Symmetric but not Transitive

Symmetric and Transitive but not Reflexive

Reflexive and Transitive but not Symmetric

Equivalence relation

3

$-3$

2

$\frac{1}{6}$

1

2

3

4

$\vec{r} = \left(-2\hat{i} - 3\hat{j} - 4\hat{k}\right) + \lambda \left(\hat{i} - 2\hat{j} + 4\hat{k}\right)$

$\vec{r} = \left(2\hat{i} + 3\hat{j} + 4\hat{k}\right) + \lambda \left(3\hat{i} - \hat{j} + 8\hat{k}\right)$

$\vec{r} = \left(-2\hat{i} - 3\hat{j} - 4\hat{k}\right) + \lambda \left(3\hat{i} + \hat{j} + 8\hat{k}\right)$

$\vec{r} = \left(2\hat{i} + 3\hat{j} + 4\hat{k}\right) + \lambda \left(3\hat{i} + \hat{j} + 8\hat{k}\right)$

(A) only

(A), (C) only

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

(D), (E) only

$-2$

2

1

$-1$

6

4

3

2

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

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

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

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

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

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

(B), (E) only

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

2 sq units

3 sq units

4 sq units

1 sq unit

0

abc

$-1$

$\frac{1}{abc}$

14 sq. units

15 sq. units

16 sq. units

18 sq. units

$\frac{9}{16}$

$\frac{3}{4}$

$\frac{3}{2}$

$\frac{4}{3}$

Not possible

$\begin{bmatrix} 1 & -6 & 6 \\ 8 & -8 & 16 \end{bmatrix}$

$\begin{bmatrix} 9 \\ 19 \\ 15 \end{bmatrix}$

$\begin{bmatrix} 1 & 18 \\ 10 & 16 \end{bmatrix}$

$\frac{3}{2}$

$\frac{3}{4}$

1

2

The quantity in column A is greater

The quantity in column B is greater

The two quantities are equal

The quantity in column B is greater than twice the quantity in column A

$(-3, -2)$

$(-2, 3)$

$(2, 3)$

$(2, -3)$

O

I

2 I

3 I

$2\sqrt{\tan x} + c$

$2\sqrt{\cot x} + c$

$\sqrt{\tan x} + c$

$\frac{2}{\sqrt{\tan x}} + c$

family of straight lines passing through origin

family of parabolas whose vertex is at origin

family of circles whose centre is at origin

family of straight lines passing through (1, 1)

$p = q$

$p = 2q$

$p = 3q$

$q = 3p$

cut at right angles

touch each other

cut at an angle $\frac{\pi}{4}$

cut at an angle $\frac{\pi}{3}$

$\frac{\sec(\tan\sqrt{x}) \tan(\tan\sqrt{x}) \sec^2 \sqrt{x}}{2\sqrt{x}}$

$\sec^2(\tan\sqrt{x})$

$\frac{\sec(\tan\sqrt{x}) \tan(\tan\sqrt{x}) \sec^2 \sqrt{x}}{x}$

$\sec^2(\tan x^{1/3})$

$\cos^{-1} 4$

$\cos^{-1} \frac{2\sqrt{42}}{21}$

$\cos^{-1} \frac{1}{4}$

$\cos^{-1} \frac{1}{\sqrt{42}}$

$\frac{\pi}{2}$

$\frac{\pi}{3}$

$\frac{2\pi}{3}$

$\frac{\pi}{6}$

1

$\frac{1}{2}$

$\frac{1}{4}$

$\sqrt{2}$

$e^x \sec x + c$

$e^x \tan x + c$

$e^x \sin x + c$

$e^x \cos x + c$

$\alpha = 0, \beta = \pi$

$\alpha = 0, \beta = \frac{\pi}{2}$

$\alpha = \frac{\pi}{2}, \beta = \pi$

$\alpha = -\frac{\pi}{2}, \beta = \frac{\pi}{2}$

$^8C_5$

$^8C_5 \times 5!$

$5^8$

$8^5$

$x = 0$

$y = 0$

$y = \frac{\pi}{2}$

$x = \frac{\pi}{2}$

30 cm$^2$/radian

120 cm$^2$/radian

$30\sqrt{3}$ cm$^2$/radian

$60\sqrt{3}$ cm$^2$/radian

$\{(x, y) : 0 \leq y \leq x^2 + 2, 0 \leq y \leq 2x + 2, 0 \leq x \leq 3\}$

$\{(x, y) : 0 \leq y \leq x^2 + 2, y \geq 2x + 2, x \leq 3\}$

$\{(x, y) : y \geq x^2 + 2, x \leq 2, x \geq 0\}$

$\{(x, y) : y \geq x^2 + 2, x \geq 0, x \geq 3\}$

$\frac{1}{6}$ units

$\frac{1}{3}$ units

$\frac{1}{\sqrt{3}}$ units

$\frac{1}{\sqrt{6}}$ units

4

2

1

0

Rs. 30,000

Rs. 40,000

Rs. 20,000

Rs. 10,000

602 m

620 m

642 m

624 m

$2b\sqrt{ac}$

$2a\sqrt{bc}$

$2c\sqrt{ab}$

$2\sqrt{abc}$

Rs. 7,156.09

Rs. 7,599.09

Rs. 7,561.09

Rs. 7,651.09

$x = 50, y = 27$

$x = 50, y = 50$

$x = 27, y = 50$

$x = 27, y = 27$

Rs. 25,000

Rs. 50,000

Rs. 1,00,000

Rs. 2,50,000

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

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

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

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

(A), (B) Only

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

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

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

(A), (C) Only

(B), (D) Only

(A), (B), (C) Only

(A), (B) Only

a

2a

2ax

$\frac{x}{a}$

220

200

240

280

Rs. 5,000

Rs. 10,000

Rs. 20,000

Rs. 30,000

70

72

60

62

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

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

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

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

Rs. 66,640

Rs. 68,640

Rs. 69,640

Rs. 67,640

10.55%

12.55%

12.25%

11.55%

at one point only

at two points only

at an infinite number of points

no point exists

160 minutes

180 minutes

150 minutes

140 minutes

$\frac{y + 3x^2}{3y^2 + x}$

$\frac{y - 3x^2}{3y^2 - x}$

$\frac{y + 3x^2}{3y^2 - x}$

$\frac{3y - x^2}{y^2 - 3x}$

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

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

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

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

Rs. 10,555.50

Rs. 10,535.50

Rs. 10,333.33

Rs. 10,335.50

25.6 litres

25 litres

26.5 litres

20.6 litres

5 years

4 years

3 years

2 years

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

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

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

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

(A), (C) Only

(A), (B) Only

(A), (B), (C) Only

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

$\frac{5665}{6561}$

$\frac{6905}{6912}$

$\frac{5556}{6561}$

$\frac{5665}{6912}$

sample size

parameter

standard error

standard measure

0.368751

0.361875

0.36758

0.369822

0

1

2

6

10 km/h

15 km/h