CUET Mathematics 2025 22 May Shift 1 PYQs

$(-\infty,\infty)$

$(0, 1)$

$(-\infty, 0) \cup (1, \infty)$

$(1, \infty)$

14

20

26

30

A

A - I

7(A - I)

I

$\log_e\left|\frac{(x-1)^2}{x-2}\right| + C$

$\log_e\left|\frac{(x-2)^2}{x-1}\right| + C$

$\log_e|(x-2)(x-1)^2| + C$

$\log_e\left|\frac{x-1}{(x-2)^2}\right| + C$

$a^3$

$a^6$

$a^9$

$a^{27}$

$x = 0$ and $x = 3$

$x = -3$ and $x = -5$

$x = 0$ and $x = -5$

$x = -3$

$\pm\sqrt{5}$

5

25

125

$\frac{3}{2}$

$\frac{3}{4t}$

$3t$

$\frac{3t}{4}$

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

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

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

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

$\frac{9}{4}$

2

3

$\frac{9}{2}$

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

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

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

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

$a = 2b$

$2a = b$

$a = b$

$3a = b$

0

1

e

$e^2$

(A) and (D) only

(B) and (C) only

(A) only

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

$r = r_0 e^{t^2/2}$

$r = -r_0 e^{t^2/2}$

$r = r_0 e^{-t^2/2}$

$r = -r_0 e^{-t^2/2}$

Max $z > 400$

Max $z < 400$

Max $z = 400$

Max $z = 350$

$\frac{1}{\sqrt{10}} \tan^{-1}\left(\frac{ \tan x}{\sqrt{5}}\right) + C$; C is an arbitrary constant

$\frac{1}{\sqrt{5}} \tan^{-1}\left(\frac{2 \tan x}{\sqrt{5}}\right) + C$; C is an arbitrary constant

$\frac{1}{\sqrt{2}} \tan^{-1}\left(\frac{\sqrt{2} \tan x}{\sqrt{5}}\right) + C$; C is an arbitrary constant

$\frac{1}{\sqrt{10}} \tan^{-1}\left(\frac{\sqrt{2} \tan x}{\sqrt{5}}\right) + C$; C is an arbitrary constant

$\pi/2$

$\pi/4$

$\pi/3$

$2\pi/3$

-1

0

1

1529

${1}/{6}, \ {1}/{6}$

${2}/{3}, \ {1}/{3}$

${6}/{11}, \ {5}/{11}$

${5}/{11}, \ {6}/{11}$

35

2150

2520

120

1

2

3

4

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

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

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

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

$\frac{1}{\sqrt{6}}(-\hat{i} + 2\hat{j} - \hat{k})$

$\frac{1}{\sqrt{6}}(\hat{i} - 2\hat{j} - \hat{k})$

$\frac{1}{\sqrt{3}}(\hat{i} + \hat{j} + \hat{k})$

$\frac{1}{\sqrt{6}}(\hat{i} + 2\hat{j} + \hat{k})$

1

2

3

4

64π $cm^3/cm^2$

32π $cm^3/cm^2$

$\frac{1}{2} cm^3/cm^2$

2 $cm^3/cm^2$

$\frac{\pi}{2}$

$\frac{\pi}{3}$

$\frac{\pi}{4}$

$\frac{\pi}{6}$

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

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

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

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

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

(A) and (E) only

(B), (D) and (E) only

(B) and (D) only

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

(B) and (D) only

(B), (D) and (E) only

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

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

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

(A) and (B) only

(C) and (D) only

0

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

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

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

$y = x\log_e x + C$ ; C is an arbitrary constant

$y = x(\log_e x + C)$ ; C is an arbitrary constant

$y = x((\log_e x)^2 + C)$ ; C is an arbitrary constant

$y = x(2(\log_e x)^2 + C)$ ; C is an arbitrary constant

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

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

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

(C), (D) and (E) only

$\frac{10}{11}$

$\frac{-10}{7}$

$\frac{-10}{11}$

$\frac{10}{7}$

-1

0

1

2

$k \in \mathbb{R} \sim \{3\}$

$k \in \mathbb{R} \sim \{-3\}$

$k \in \mathbb{R} \sim \{4\}$

$k \in \mathbb{R} \sim \{-4\}$

$\frac{a}{2}\int_0^a f(x)dx$

$2\int_0^a f(x)dx$

$a f(a)$

$a\int_0^a f(x)dx$

$\mathbb{Z}$

$2\mathbb{Z}$

$\frac{1}{2}\mathbb{Z}$

$\mathbb{R} - \mathbb{Z}$

6

11

13

15

(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)

(A) and (D) only

(A) and (C) only

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

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

0

-4

-5

-7

$P(E \cap F) = 0$

$P(E \cup F) = 1$

$P(E|F) = P(E)$

$P(E|F) = P(F)$

(A) only

(B) and (C) only

(B) and (D) only

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

$\frac{1}{3}$

$\frac{3}{8}$

$\frac{5}{8}$

$\frac{2}{3}$

$8\pi$

$16\pi$

$24\pi$

$32\pi$

(A) and (D) only

(B) and (C) only

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

(B), (D) and (E) only

1

126

-126

0

$\frac{x}{\log_e x} + c$; c is an arbitrary constant

$\frac{1}{\log_e x} + c$; c is an arbitrary constant

$\frac{x}{(\log_e x)^2} + c$; c is an arbitrary constant

$\frac{\log_e x}{x} + c$; c is an arbitrary constant

half plane that contains the origin

open half plane not containing the origin

whole xy-plane except the points lying on the line $4x + 3y = 5$

lying only on first quadrant

0

22

16

36

n

2n

n+1

n-1

$20, 26, 33$

$20, 26, 32$

$21, 25, 33$

$20, 25, 34$

1

2

4

5

₹ 12,000

₹ 16,000

₹ 20,000

₹ 10,000

$\frac{15}{16}$

$\frac{13}{16}$

$\frac{11}{16}$

$\frac{1}{16}$

$\frac{d^2y}{dx^2} + 9y = 0$

$\frac{d^2y}{dx^2} + 3y = 0$

$\frac{d^2y}{dx^2} = 9y$

$\frac{d^2y}{dx^2} = 3y$

$x(\log x)^{x}[1 + \log x \cdot \log(\log x)]$

$x(\log x)^x[x + 1 + \log x \cdot \log(\log x)]$

$x(\log x)^{x-1}[1 + \log x \cdot \log(\log x)]$

$(\log x)^{x-1}[1 + \log x \cdot \log(\log x)]$

₹ 26,666.66

₹ 36,666.66

₹ 16,666.66

₹ 46,666.66

Rs.8

Rs.4

Rs.6

Rs.2

2

4

6

8

Infinite

finite

between 0 to 100

we can't say about term.

It is a fixed term account.

It is set-up for a particular upcoming expense.

In this fund a fixed amount at regular intervals is deposited.

It can be used in any emergency.

Seasonal trend

Cyclical trend

Long term trend

Irregular trend

9

10

11

12

$13\frac{3}{7}$ hours

$13\frac{2}{7}$ hours

$13\frac{5}{7}$ hours

$13\frac{1}{7}$ hours

1

3

7

9

1.03

1.33

1.43

1.53

$4x - y - 1 = 0$

$4x - y - 4 = 0$

$x + 4y - 4 = 0$

$x + 4y - 1 = 0$

$\frac{65}{51}$

$\frac{72}{49}$

$\frac{62}{49}$

$\frac{62}{51}$

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

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

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

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

$(-\infty, 0)$

$(-\infty, 0) \cup (0, 1)$

$(-\infty, 1)$

$(1, \infty)$

A+B is a skew-symmetric matrix

A-B is skew-symmetric matrix.

AB-BA is a symmetric matrix.

AB+BA is a symmetric matrix.

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

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

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

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

$k \in \mathbb{R} \sim \{3\}$

$k \in \mathbb{R} \sim \{-3\}$

$k \in \mathbb{R} \sim \{4\}$

$k \in \mathbb{R} \sim \{-4\}$

Sample is a collection of some elements of population having same characteristic.

The measurable characteristic of sample is called statistic.

A survey done using a sample of the population has no margin of error.

The sample makes inference about the population.

115.94

215.94

151.94

111.94

24

10