CUET Mathematics 2025 14 May Shift 1 PYQs

$\frac{dy}{dx}$

$5\frac{dy}{dx}$

$6\frac{dy}{dx}$

$30\frac{dy}{dx}$

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

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

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

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

$(-\infty,\infty)$

$(-\infty,2) \cup (2,\infty)$

$(-2,0)$

$(0,2)$

A

2A

3A

5A

3

9

27

81

$4e^{3x} + 3e^{-4y} + C = 0$, where C is constant of integration

$3e^{3x} + 4e^{-4y} + C = 0$, where C is constant of integration

$4e^{-3x} + 3e^{4y} + C = 0$, where C is constant of integration

$3e^{-3x} + 4e^{4y} + C = 0$, where C is constant of integration

$\frac{1}{16}$

$\frac{3}{18}$

$\frac{7}{16}$

$\frac{9}{16}$

$-\frac{5}{e}$

$-\frac{1}{e}$

$-\frac{1}{e^3}$

$-5e^3$

5

$\frac{7}{2}$

$\frac{3}{2}$

$\frac{5}{2}$

(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)

$\frac{x}{2} + C$, where C is the constant of integration

$\frac{x^2}{2} + C$, where C is the constant of integration

$\frac{x^3}{3} + C$, where C is the constant of integration

$\frac{x^4}{4} + C$, where C is the constant of integration

$p = q$

$p = 2q$

$p = 3q$

$q = 3p$

(6, 0) only

(0, 3) only

Neither (6, 0) nor (0, 3)

Both (6, 0) and (0, 3)

$\frac{1}{3}$

$\frac{4}{3}$

$\frac{5}{3}$

$\frac{8}{3}$

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

(A) and (B) only

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

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

1/2

1

2/3

1/3

$P(B|A) = 1$

$P(A|B) = 1$

$P(B|A) = 0$

$P(A|B) = 0$

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

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

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

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

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

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

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

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

$\frac{1}{6}$

$\frac{1}{3}$

$\frac{1}{2}$

$\frac{2}{3}$

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

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

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

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

$\sqrt{3}$

$2\sqrt{3}$

$3\sqrt{3}$

$4\sqrt{3}$

12

-37

37

-12

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

(A) and (D) only

(B) and (C) only

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

2 cm²/cm

4 cm²/cm

8 cm²/cm

16 cm²/cm

(A) and (C) only

(A) and (D) only

(B) and (D) only

(B) and (C) only

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

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

(B) only

(B) and (C) only

$-\frac{\sqrt{\pi}}{2}\cos\left(\frac{1}{\sqrt{2}}\right)$

$-\sqrt{\frac{\pi}{2}}\cos\left(\frac{1}{\sqrt{2}}\right)$

$-\sqrt{\frac{\pi}{2}}\sin\left(\frac{1}{\sqrt{2}}\right)$

$\sqrt{\frac{\pi}{2}}\sin\left(\frac{1}{\sqrt{2}}\right)$

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

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

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

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

$x + y \leq 30, x + y \geq 15, x \leq 15, y \leq 20, x, y \geq 0$

$x + y \leq 30, x + y \geq 15, y \leq 15, x \leq 20, x, y \geq 0$

$x + y \geq 30, x + y \leq 15, x \leq 15, y \leq 20, x, y \geq 0$

$x + y \geq 30, x + y \leq 15, y \leq 15, x \leq 20, x, y \geq 0$

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

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

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

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

$\frac{1}{3}\left(\frac{x^2}{2} - x\right) + C$, where C is constant of integration

$\left(\frac{x^2}{2} - x\right)e^x + C$, where C is constant of integration

$\frac{1}{3x^2}e^x + C$, where C is constant of integration

$\frac{1}{3x}e^x + C$, where C is constant of integration

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

$A^{12}$ is skew-symmetric

$B^{14}$ is symmetric

$A^4 + B^5$ is symmetric

(0,5), (0,6), (1,0), (6,0)

(0,3), (0,5), (3,0), (6,0)

(0,3), (0,5), (1,0), (6,0)

(0,5), (0,6), (1,0), (3,0)

is a decreasing function on $\left[0,\frac{\pi}{2}\right)$

is an increasing function on $\left[0,\frac{\pi}{2}\right)$

is a constant function

is neither increasing nor decreasing function on $\left[0,\frac{\pi}{2}\right)$

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

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

$5^2|AB|$

$5^3 |AB|$

$log_e x$

$x$

$\frac{1}{x}$

$\frac{1}{log_e x}$

(A) and (B) only

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

(A) only

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

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

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

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

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

f is both one-one and onto

f is onto but not one-one

f is one-one but not onto

f is neither one-one nor onto

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

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

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

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

0

$\sqrt{\frac{29}{5}}$

$\sqrt{\frac{5}{29}}$

$\sqrt{5}$

6

5

-6

4

(A) and (B) only

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

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

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

1

2

$\frac{\pi}{2}$

$\frac{\pi}{4}$

$\frac{\pi}{2}$

$\frac{\pi}{3}$

$\frac{\pi}{4}$

$\frac{\pi}{6}$

1

2

3

4

$\frac{1}{\sqrt{1 + x^2}}$

$\frac{1}{\sqrt{1 - x^2}}$

$\frac{x}{\sqrt{1 - x^2}}$

$\frac{x}{\sqrt{1 + x^2}}$

1

2

3

-2

$\frac{\pi}{4}$

0

$\frac{\pi}{6}$

$\frac{\pi}{12}$

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

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

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

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

15

5

16

2/3

$x\frac{d^2y}{dx^2} - \left(\frac{dy}{dx}\right)^2 + \frac{dy}{dx} = 0$

$\frac{d^2y}{dx^2} - x\frac{dy}{dx} = 0$

$\frac{d^2y}{dx^2} - \left(\frac{dy}{dx}\right)^2 + 1 = 0$

$x\frac{d^2y}{dx^2} + x\left(\frac{dy}{dx}\right)^2 + \frac{dy}{dx} = 0$

$e - 1$

$e^2 - 1$

$e + \frac{1}{e}$

$\frac{1}{e}$

₹ 4000

₹ 6000

₹ 4200

₹ 5400

2

4

1

8

All the elements of an LPP should be quantifiable.

All decision variables should assume non-negative values.

There are a finite number of decision variables and a finite number of constraints.

It deals with optimizing number of objectives more than one.

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

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

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

(C) and (D) only

5.8 %

4.2 %

6.8%

3.2%

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

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

(B) and (D) only

(C) and (D) only

Trend component

Cyclical Component

Seasonal Component

Average Component

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.

2

3

4

5

(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)

Only for even integral values of $a$

Only for odd integral values of $a$

for all integral values of $a$

for $a = 0$ only

₹ 22325

₹ 30542

₹ 21652

₹ 34500

3

4

5

10

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

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

(C) and (D) only

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

29.16 litre

43.74 litre

42.24 litre

38.74 litre

4

-4

1/2

-1/4

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

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

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

(B) and (D) only

(A) and (D) only

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

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

(B) and (C) only

5 km/hr

3 km/hr

6.5 km/hr

4 km/hr

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

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

(A) and (B) only

(B) and (C) only

18,21,29

18,22,29

18, 23, 37

18, 20,28

$\frac{764}{625}$

$\frac{1}{625}$

1

$\frac{108}{25}$

15

45

225

150

120 m

140 m

125 m

50 m

Sinking Fund

Perpetuity

Coupon payment

Bond

90

95

50

49

7

4/3

1

5

30

18

34

24

$e^x$

$\log x$

$\frac{1}{x}$

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

Salvage value

Book value

Scrap value

Lost Value

₹ 537.1

₹ 441.15

₹ 1575

₹ 875.25