CUET Mathematics 2023 11 Aug Shift 1 PYQs

abc

$a^2 b^2 c^2$

$a + b + c$

0

1

2a

$\frac{1}{4}$

$\frac{1}{2a}$

$\frac{1}{2}$

1

$\frac{1}{4}$

$\frac{1}{8}$

[2,3]

[-2,4]

[0,2]

R

0

$\frac{\pi^3}{3}$

2

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

0

1

2

3

7

-7

8

-8

(A) and (C) only

(C) and (D) only

(B) and (D) only

(B) and (C) only

2 and 1

1 and 2

2 and 2

1 and 1

$x = (1 + y)^2 c$

$x^2 = (1 + y)^2 c$

$x^2 - y^2 = c$

$y = c + x^2 y$

$\pi$

$4 \pi$

$40 \pi$

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

2500

3000

0

2300

0

$\frac{3}{2}$

$-\frac{1}{2}$

$\frac{x^3}{4} - \frac{x^2}{2} + C$

$(0,0), (16,0), (8,12), (0,20)$

$(0,0), (0,0), (12,0), (0,12)$

$(16,0), (0,16), (0,20), (8,0)$

$(1,1), (16,0), (8,12), (0,20)$

$1 - \left(\frac{9}{10}\right)^9$

$\frac{9}{10}$

$1 - \left(\frac{9}{10}\right)^{10}$

$1 - \frac{10^9}{10^{10}}$

$p = 3q$

$3p = q$

$3q + 2p$

$2p = 2(q-2)$

$\frac{\pi}{n} \log \left| \frac{x^{n-1}}{x^n} \right| + c$

$\log \left| \frac{x^{n-1}}{x^n-1} \right| + c$

$\frac{\pi}{n} \log \left| \frac{x^{n-1}}{x^n} \right| + c$

$\pi \log \left| \frac{x^n}{x^n - 1} \right| + c$

$\begin{bmatrix} -6 & 6 & 0 \\ 9 & 3 & 12 \end{bmatrix}$

$\begin{bmatrix} -10 & 0 & 10 \\ 35 & 5 & 30 \end{bmatrix}$

$\begin{bmatrix} -8 & 3 & 5 \\ -13 & -1 & -9 \end{bmatrix}$

$\begin{bmatrix} 7 & 1 & 6 \\ 2 & 0 & -2 \end{bmatrix}$

$5^x \log_e 5$

$5^x (\log_e 5)^2$

$\frac{5^x}{\log_e 5}$

$\frac{5^x}{(\log_e 5)^2}$

linking fund

mutual fund

sinking fund

saving account

6

4

3

-6

$x \leq 3$

$x \geq \frac{5}{3}$

$\frac{5}{3} \leq x \leq 3$

$x \leq \frac{5}{3}$ or $x \geq 3$

(A) and (E) only

(B) and (E) only

(C) and (D) only

(B) and (D) only

43 litres

80 litres

34 litres

36 litres

$\frac{4}{5}$

$\frac{1}{5}$

$\frac{4}{6}$

$\frac{1}{2}$

16

12

15

10

Pandemics

floods

festivals

strikes and lockouts

24

4

5

2

6, 4.6, 5

6, 4.6, 4

5, 4.6, 4

5, 6, 4

$x \geq 0, y \geq 0$

$2x + y \geq 10$

$x \geq 6$

$y \geq 3$

Rs. 77,100

Rs. 75,200

Rs. 66,800

Rs. 69,500

B

aB

$B^a$

A+B

$x + 2y \leq 50, 3x + y \leq 80, x \geq 0, y \geq 0$

$x + 2y \leq 50, 3x^2 + y^2 \leq 80, x \geq 0, y \geq 0$

$x + 2y \leq 50, 3x + y \leq 80, x \leq 0, y \geq 0$

$x + 2y \geq 50, 3x + y \geq 80, x \geq 0, y \leq 0$

6

9

12

10

$y \geq 2x, y - 2x \leq 4, x \leq 6, y \geq 0$

$y \leq 2x, y - 2x \leq 4, x \leq 6, y \geq 0$

$y \geq 2x, y - 2x \geq 4, x \leq 6, y \geq 0$

$y \leq 2x, y - 2x \geq 4, x \leq 6, y \geq 0$

2.3

3

2.58

0.6

1

2

3

$\frac{3}{2}$

a relation between the variables

a constant

a function to be minimised

a function to be optimised

1,00,000

10,000

40,000

4,00,000

20/3

-4

13

-7/3

A is a diagonal matrix

A is a zero matrix

A is a scalar matrix

A is a square matrix

selecting 10 employees from an organization with 100 employees

Selected 10 students from my class and finding their mean height to represent average class height

Finding mean income of all families in a city

Finding median income of all families in the city

4

1

2

3

$\frac{1}{4}$

$\frac{1}{6}$

$\frac{2}{3}$

6

$\frac{3}{2}$

$\frac{8}{3}$

$\frac{4}{3}$

8

$x^2 (3 + 4 \log x)$

$x (4 + 3 \log x)$

$3x^2 \log x$

$x (5 + 6 \log x)$

2

3

6

5

4

1

2

6

10 years

6 years

5 years

8 years

-1

8

2

0