CUET Mathematics 2023 7 June Shift 1 PYQs

$\frac{e^x}{x} + c$

$\frac{e^{-x}}{x} + c$

$e^x + C$

$e^{-x} + C$

$\frac{9}{2}$ sq unit

$\frac{9}{4}$ sq unit

$\frac{9}{5}$ sq unit

$\frac{9}{8}$ sq unit

2

-2

0

1

$A = B$

$A \cap B = \emptyset$

$A \subset B$ but $A \neq B$

$P(A) = P(B)$

dependent events

independent event

$P(A \cap B) = \frac{1}{3}$

$P(B) = \frac{1}{3}$

$x + y > 8$

$x + y < 8$

$x + y \leq 8$

$x + y \geq 8$

-5

• 10

10

0

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

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

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

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

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

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

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

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

1

$2\sqrt{3}$

$\pm\sqrt{3}$

$\pm 2\sqrt{3}$

$0 < a < \infty$

$-\infty < a < \infty$

$1 < a < \infty$

$0 \leq a < \infty$

A , D only

B , D only

B , c only

A , C only

6 x 4

12 x 12

8 x 3

1 x 24

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

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

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

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

A , D only

B , D only

B , c only

A , C only

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

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

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

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

8 %

4 %

2 %

5 %

$\frac{1}{3}$

$\frac{1}{6}$

$\frac{1}{9}$

$\frac{1}{18}$

it states that a distribution of sample approaches a normal distribution

it shows bell shaped curve

it does not depend on the shape of population distribution

it can be represented by using a pie chart

(0,4)

( 2,3 )

( 3, 0 )

( 3,2 )

sinking fund established to set aside revenue for a future expense

sinking funds are the same as saving account

sinking funds is set up for a particular purpose

sinking funds are to be used at a particular time

3

2

6

25

(1/2 , 13/2 )

(1/2, 5/2)

(5/2, 5)

(5,5)

cluster sampling

snowball sampling

voluntary response sampling

systematic sampling

$\begin{bmatrix} -1 & 2 \\ 4 & 6 \end{bmatrix}$

$\begin{bmatrix} -4 & -1 \\ 5 & 6 \end{bmatrix}$

$\begin{bmatrix} -4 & 5 \\ 1 & 6 \end{bmatrix}$

$\begin{bmatrix} 4 & 0 \\ -5 & 4 \end{bmatrix}$

$y_t = 62.2 + 9x$

$y_t = 9 + 62.2x$

$y_t = 31.1 + 18x$

$y_t = 18 + 31.1x$

2x

-2x

$20 - 0.6x^2 - 2x$

can't be determined

$x + y \leq 800$, $x \geq 400$, $y \geq 700$, $2x + y \leq 1000$, $x, y \geq 0$, Max(z) = 2x + 1.5y

$x + y \geq 800$, $x \geq 400$, $y \geq 700$, $2x + y \geq 1000$, $x, y \geq 0$, Max(z) = 2x + 1.5y

$x + y \leq 800$, $x \leq 400$, $y \leq 700$, $2x + y \geq 1000$, $x, y \geq 0$, Max(z) = 2x + 1.5y

$x + y \leq 800$, $x \leq 400$, $y \leq 700$, $2x + y \leq 1000$, $x, y \geq 0$, Max(z) = 2x + 1.5y

8a+4 = b

a = 2b

b = 2a

8b + 4 = a

650

7000

0

60

$\frac{1}{x\log 3x}$

$\frac{1}{x(x\log 3 + \log x)}$

$\frac{\log}{x\log 3}$

$\frac{1}{x\log x \log 3 x}$

a = -4 , b = 0 , c = -5

a = 4 , b = 0 , c = 5

a = -4 , b = 1 , c = -5

a = 4 , b = 1 , c = 5

half plane that contain the origin excluding the point on the line 3x + 4y = 12

half plane that doesn't contain the origin

the entire plane excluding the points on the line 3x + 4y = 12

the half plane that contain the origin including the point on the line 3x + 4y = 12

trend component of time series

cyclical component of time series

seasonal component of time series

irregular component of time series

The mean marks of 100 student in a school of strength 2000

the median height of 100 students in a school of strength 2000

the mean salary of all workers of an organization

the mean salary of randomly selected half of all employees of an organization

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

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

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

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

B , C , D only

A , B , D only

A , B , E only

D , E only

0

4t

$\frac{4e^{2t}}{t}$

$\frac{e^{2t}(4t-1)}{t^2}$

$\begin{bmatrix} 16 & 8 \\ 56 & 32 \end{bmatrix}$

$\begin{bmatrix} 3 & -14 \\ 4 & 17 \end{bmatrix}$

$\begin{bmatrix} -1 & -13 \\ 36 & 17 \end{bmatrix}$

$\begin{bmatrix} -191 & -110 \\ 77 & 44 \end{bmatrix}$

Rs 118

Rs 115

Rs 112

Rs 110

120 litres

1200 litres

240 litres

2400 litres

Rs 28120.77

Rs 37777.77

Rs 28777.77

Rs 28888.77

30m

40m

50m

60m

$\frac{3at}{2}$

$\frac{3}{4at}$

$\frac{3a}{4t}$

$\frac{3a^2 t}{2}$

4

6

8

10

48 km

32 km

61

41

32

69

2/3

1/5

1/6

1/3

1.2

2.1

1.3

-1.2

Rs 12,00,000

Rs 11,60,000

Rs 10,80,000

Rs 9,30,000