CUET Mathematics 2025 3 June Shift 2 PYQs

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

(D) only

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

(B) and (C) only

16

32

64

256

(A) and (C) only

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

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

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

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

(B) and (C) only

(C) only

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

Singular matrix

Zero matrix

Symmetric matrix

Skew symmetric matrix

$a$

$\frac{a}{2}$

$\frac{a}{3}$

$2a$

$2x^2 - y = C$; C is an arbitrary constant

$2x^2 - \frac{1}{y} = C$; C is an arbitrary constant

$2x^2 + \frac{1}{y^2} = C$; C is an arbitrary constant

$2x^2 + \frac{1}{y} = C$; C is an arbitrary constant

0

$\frac{1}{t}$

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

$-\frac{1}{2at^3}$

$n$ is arbitrary, $q = 2$

$m = n$, $q = 3$

$q = 3$, $m = 3$

$q$ is arbitrary, $n = 2$

4

8

$\frac{17}{4}$

$\frac{15}{4}$

$(0, \frac{1}{e})$

$(0, e)$

$(\frac{1}{e}, \infty)$

$(e, \infty)$

$\frac{1}{2}$

$\frac{3}{4}$

$\frac{7}{8}$

1

13

10

22

14

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

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

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

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

$\frac{28}{3}$

$\frac{25}{3}$

$\frac{184}{3}$

$\frac{136}{5}$

3

5

6

7

$f(x)$ is discontinuous at both $x = 3$ and $x = -3$

$f(x)$ is continuous at both $x = 3$ and $x = -3$

$f(x)$ is discontinuous at $x = -3$

$f(x)$ is discontinuous at $x = 3$

is a bounded region in the first quadrant

is an unbounded region in the first and second quadrant

is an unbounded region in the first quadrant

has no point which satisfies all the inequalities

$-\frac{1}{2}e^{2x}\cos x + C$, C is an arbitrary constant

$\frac{1}{2}e^{2x}\sin x + C$, C is an arbitrary constant

$e^{2x}\sin x + C$, C is an arbitrary constant

$-e^{2x}\cos x + C$, C is an arbitrary constant

$\frac{3}{20}$

$\frac{17}{20}$

$\frac{7}{10}$

$\frac{3}{10}$

$(4, 5, -7)$

$(-4, 5, 7)$

$(4, -5, 7)$

$(4, 5, 7)$

$|\vec{a}|^2$

$2|\vec{a}|^2$

$3|\vec{a}|^2$

$4|\vec{a}|^2$

3

$2\sqrt{2}$

$\pm 2\sqrt{2}$

8

$\vec{r} = (-3\hat{i} + 4\hat{j} + 15\hat{k}) + \lambda(-i + 3\hat{j} - 2\hat{k})$

$\vec{r} = (-\hat{i} + 3\hat{j} - 2\hat{k}) + \lambda(-3\hat{i} + \hat{4j} + 15\hat{k})$

$\vec{r} = 2\hat{i} - 7\hat{j} + 4\hat{k} + \lambda(-i + 3\hat{j} - 2\hat{k})$

$\vec{r} = (-i + 3\hat{j} - 2\hat{k}) + \lambda(2\hat{i} - 7\hat{j} + 4\hat{k})$

(A) and (C) only

(B) and (D) only

(B) and (C) only

(A) and (D) only

$10\pi$

$8\pi$

$6\pi$

$4\pi$

16

256

20

240

$\frac{\pi}{4}$

$\frac{\pi}{2}$

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

$\frac{3\pi}{4}$

0

1

0.39

0.61

neither reflexive nor symmetric nor transitive

reflexive but not symmetric

symmetric but not transitive

transitive but neither reflexive nor symmetric

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

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

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

(C) and (D) only

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

$\frac{-y}{x}$

$\frac{y}{x}$

0

0

1

3

4

$2024A + 2024B$

O

$A + B$

$A - B$

$3[4 - \sqrt{2}]$

$2[4 + \sqrt{2}]$

$8[4 - \sqrt{2}]$

$4[4 - \sqrt{2}]$

3

5

2

-3

$25\sqrt{3}$ cm²/sec

$50\sqrt{3}$ cm²/sec

$100\sqrt{3}$ cm²/sec

$15\sqrt{3}$ cm²/sec

onto only

both one-one and onto

one-one only

neither one-one nor onto

$(0, 0), (10, 0), (6, 12), (0, 20)$

$(0, 20), (0, 30), (4, 18)$

$(0, 20), (6, 12), (4, 18)$

$(15, 0), (48, 0), (4, 18), (6, 12)$

$\frac{\pi}{4}$

$-\frac{\pi}{4}$

$\frac{3\pi}{4}$

$-\frac{3\pi}{4}$

(C) and (D) only

(A) and (B) only

(A) only

(B) only

(B) and (D) only

(A) and (C) only

(A) and (D) only

(B) and (C) only

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

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

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

(C) and (D) only

$\frac{2}{5}$

$\frac{2}{3}$

$\frac{4}{15}$

$\frac{6}{25}$

$\frac{\cos^2(a + y)}{\cos a}$

$\frac{\cos a}{\cos^2(a + y)}$

$\frac{\sin^2 y}{\cos a}$

$\frac{\sin^2 y}{\cos^2(a + y)}$

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

$\lambda = 5, \mu = 20$

2 cm/min decreasing

3 cm/min decreasing

2 cm/min increasing

3 cm/min increasing

Rs.26

Rs.24

Rs.30

Rs.32

10.8%

7.8%

9.8%

6.8%

85 seconds

90 seconds

95 seconds

120 seconds

30%

25%

20%

10%

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

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

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

(C) and (D) only

$\frac{1}{2}\log_e(\frac{17}{5})$

$\frac{1}{5}\log_e(\frac{17}{5})$

$\log_e(\frac{17}{5})$

$2\log_e(\frac{17}{5})$

11

10

7

9

the revenue from sales is less then the cost of production and marketing.

the revenue from sales is equal to the cost of production and marketing.

the revenue from sales is greater then the cost of production and marketing.

the sum of revenue from sales and the cost of production and marketing is zero

18

15

-10

-18

(A) and (B) only

(A) and (C) only

(B) and (D) only

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

$2p = q$

$p = 3q$

$2p = 3q$

$3p = 2q$

$\sum_{i=1}^{n} (y_i - y_2) = 0$

$\sum_{i=1}^{n} (y_i - y_t) = 1$

$\sum_{i=1}^{n} (y_i - y_t) = \infty$

$\sum_{i=1}^{n} (y_i - y_t) = 0$

It is a long term account which can be closed any time.

It does not have any specific purpose.

In this fund, a fixed amount at regular intervals is deposited for a fixed terms

It can be used in any emergency.

6

4

5

2

CAGR is the average annualized return of an investment.

CAGR is calculated by taking arithmetic mean of series of returns.

CAGR is linear measure that does not account for the effects of compounding.

CAGR is calculated by using the final and beginning value of an investment.

1,3

1, -3

2,3

-1, 3

$I + 2A$

$I + 3A$

$I + A$

$I$

Rs.18,000

Rs.25,000

Rs.36,000

Rs.40,000

mean = variance

2 mean = variance

mean = 2 variance

3 mean =2 variance

5 km/hr

1 km/hr

4 km/hr

6 km/hr

$15\frac{1}{13}$ hours

$15\frac{4}{13}$ hours

$15\frac{5}{13}$ hours

$15\frac{3}{13}$ hours

$(\frac{30}{7}, \frac{60}{7})$

$(0,12)$

$(10,0)$

$(3,8)$

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

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

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

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

2.1

4.1

5.6

3.1

20,26,32

20,26,33

20,27,32

20,26,31

$P(X = r) = ^{25}C_r (\frac{4}{5})^r (\frac{1}{5})^{25-r}$, $r = 0, 1, 2, 3, ..., 25$

$P(X = r) = ^{25}C_r (\frac{1}{5})^r (\frac{4}{5})^{25-r}$, $r = 0, 1, 2, 3, ..., 25$

$P(X = r) = ^{25}C_r (\frac{1}{5})^{25} (\frac{4}{5})^{25-r}$, $r = 0, 1, 2, 3, ..., 25$

$P(X = r) = ^{25}C_r (\frac{1}{5})^{25-r} (\frac{4}{5})^{25}$, $r = 0, 1, 2, 3, ..., 25$

3

4

5

2

$y = 9.4x + 18940.6$

$y = 9.4x - 18940.6$