CUET Mathematics 2025 2 June Shift 1 PYQs

$3xy + x^3 = C$, C is an arbitrary constant

$3xy + y^3 = C$, C is an arbitrary constant

$3xy - y^3 = C$, C is arbitrary constant

$3xy - x^3 = C$, C is arbitary constant

$x(1-x^3)^{-4/3}$

$x^2(1-x^3)^{-4/3}$

$(1-x^3)^{-4/3}$

$-x^2(1-x^3)^{-4/3}$

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

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

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

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

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

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

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

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

6

10

16

20

4

2

0

-1

1

0

3/2

$\log 2$

$\frac{1}{2}\log_e|e^{2x} - e^{-2x}| + C$, where $C$ is an arbitrary constant.

$\log_e|e^{2x} - e^{-2x}| + C$, where $C$ is an arbitrary constant.

$\frac{1}{2}\log_e|e^{2x} + e^{-2x}| + C$, where $C$ is an arbitrary constant.

$\log_e|e^{2x} + e^{-2x}| + C$, where $C$ is an arbitrary constant.

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

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

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

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

10

60

50

40

25

-25

5

-5

(B) and (D) only

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

(A) and (D) only

(B) only

0

-1

1

$\frac{1}{2}$

$4x + 3y \leq 12, 3x + 4y \leq 12, x \geq 0, y \geq 0$

$4x + 3y \geq 12, 3x + 4y \geq 12, x \geq 0, y \geq 0$

$4x + 3y \leq 12, 3x + 4y \geq 12, x \geq 0, y \geq 0$

$4x + 3y \geq 12, 3x + 4y \leq 12, x \geq 0, y \geq 0$

$\frac{256}{3}$ square units

$\frac{128}{3}$ square units

$\frac{64}{3}$ square units

$\frac{32}{3}$ square units

$\frac{70}{11}$

$\frac{10}{11}$

$\frac{11}{70}$

$\frac{11}{10}$

$[0, \pi]$

$[-\sqrt{5}, -\sqrt{3}] \cup [\sqrt{3}, \sqrt{5}]$

$[-\sqrt{5}, -\sqrt{3}] \cap [-\sqrt{5}, \sqrt{3}]$

$[-1, 1]$

$y = \frac{x}{2}\log_e(x^2 + y^2) + C$ : C is an arbitary constant

$y = \sqrt{x^2 + y^2} + C$ : C is an arbitrary constant

$y = \frac{1}{2}\log_e(x^2 + y^2) + c$ : C is an arbitrary constant

$\tan^{-1}\frac{y}{x} = \frac{1}{2}\log_e(x^2 + y^2) + C$: C is an arbitrary constant

3/4

1

1/3

1/6

$\frac{1}{2}\log_e 2 - 1$

$2\log_e 2$

$2\log_e 2 - 2$

$4\log_e 2$

Reflexive and transitive

Neither Reflexive nor symmetric

Reflexive but not symmetric

Not Reflexive but symmetric

$x + 2y \leq 10$

$x + y \geq 2$

$x - y \geq 1$

$x - y \leq 1$

81

27

12

36

3r

$\frac{1}{3}r$

$\frac{1}{2}r$

2r

-1

0

5

-5

$(-1, -1, 1)$

$(1, 2, 3)$

$(1, 3, 5)$

$(1, -3, 5)$

$\frac{5\sqrt{2}}{3}$

$\frac{4\sqrt{2}}{3}$

$\frac{4\sqrt{3}}{3}$

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

$-x\frac{dy}{dx}$

$x\frac{dy}{dx}$

$\frac{y}{x}\frac{dy}{dx}$

$-\frac{y}{x}\frac{dy}{dx}$

0

-1

$\pi$

1

$(1, 2)$

$(2, 6)$

$(2, 3)$

$(3, \infty)$

1

$\frac{1}{2}$

5

$\frac{5}{2}$

$\frac{\pi}{4}$

$\frac{\pi}{3}$

$\frac{\pi}{2}$

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

$\alpha = \frac{-2}{3}, \beta = \frac{1}{6}$

$\alpha = \frac{-2}{3}, \beta = \frac{-1}{6}$

$\alpha = \frac{2}{3}, \beta = \frac{1}{6}$

$\alpha = \frac{2}{3}, \beta = \frac{-1}{6}$

0

3

2

1

2/5

1/5

9/10

3/10

$3(xy + yz + zx)$

$xy + yz + zx$

0

1

4

8

6

1

19

5

2

$\frac{3}{2}$

(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)

0

1

-1

2

$3\sqrt{5}$

$4\sqrt{5}$

$6\sqrt{5}$

$2\sqrt{5}$

2/3

4

2

9

one-one but not onto

onto but not one-one

neither one-one nor onto

both one-one and onto

(B) and (C) only

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

(C) and (D) only

(A) and (B) only

$e^{-x/2}$

$e^{-x^2/2}$

$e^{x^2/2}$

$e^{x/2}$

$\frac{5}{12}$

$\frac{1}{2}$

$\frac{1}{3}$

$\frac{1}{4}$

(A) and (B) only

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

(B) and (C) only

(C) and (D) only

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

(B) and (C) only

(C) and (D) only

(A) and (D) only

$\pi/6$

$\pi/4$

$\pi/3$

$\pi/2$

60

90

120

180

$I + 26A$

20A

$I + 20A$

26A

$\sec x$

$\frac{1}{2}\left(\frac{1}{1+ \tan^2 x}\right)e^{\log(1+ \tan^2 x)}$

$\sec x(\sec^2 x + \tan^2 x)$

$\sec x\tan x$

0

0.1

0.2

0.3

8.24%

8.33%

8.16%

8.06%

$a$

$2a$

$\frac{a}{2}$

$7a$

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

$\frac{9}{2}$ Sq.unit

$\frac{15}{2}$ Sq.unit

$\frac{11}{2}$ Sq.unit

20%

30%

25%

15%

$\frac{7}{36}$

$\frac{29}{36}$

1

$\frac{1}{2}$

(A) and (C) only

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

(A) only

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

3

6

9

12

$CAGR = \left(\frac{F.V}{P.V}\right)^{\frac1n} - 1$

$CAGR = \left(\frac{P.V}{F.V}\right)^{\frac1n} - 1$

$CAGR = \left(\frac{F.V}{P.V}\right)^n - 1$

$CAGR = \left(\frac{P.V}{F.V}\right)^n - 1$

$\frac{81}{256}$

$\frac{9}{16}$

$\frac{5}{32}$

$\frac{9}{256}$

100 g

200 g

150 g

170 g

(A) and (C) only

(A) and (D) only

(B) and (C) only

(B) and (D) only

$\frac{1}{6}$

$\frac{5}{6}$

$\frac{2}{6}$

$\frac{4}{6}$

360

150

60

No Minimum value of Z

$3\frac{10}{11}$

$3\frac{9}{11}$

$4\frac{10}{11}$

$4\frac{9}{11}$

6.5 yrs

8.5 yrs

7 yrs

8 yrs

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

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

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

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

36

49

64

81

-3.79

-5.79

-4.79

-2.79

₹ 1,07,500

₹ 1,10,000

₹ 1,02,500

₹ 1,05,000

$\frac{2}{3}[11 - 10\sqrt{10}]$

$\frac{10}{3}[1 - 2\sqrt{10}]$

$\frac{2}{3}[10\sqrt{10} - 26]$

$\frac{2}{3}[11 + 10\sqrt{10}]$

(A) only

(A) and (C) only

(B) and (D) only

(D) only

$\left(-\frac{3}{2}, \frac{5}{4}\right)$

$\left(-\infty, -\frac{3}{2}\right] \cup \left[\frac{5}{4}, \infty\right)$

$\left[-\frac{3}{2}, \frac{5}{4}\right)$

$\left(-\infty, -\frac{3}{2}\right] \cup \left(\frac{5}{4}, \infty\right)$

1

5

6

3

₹ 12,000

₹ 9,000

₹ 10,000

₹ 9,820

217, 229, 233, 218

217, 235, 229, 233

235, 229, 233, 218

235, 229, 233, 218.

1

2

3

4