CUET (UG) 2023 Mathematics Previous Year Paper (02-Jun-2023) (Shift 3)

Question 1

Corner points of a feasible bounded region are (0,10), (4,2), (3,7) and (10,6). Maximum value 50 of objective function $ z = ax + by $ occurs at two points (0,10) and (10,6). The value of $ a $ and $ b $ are:

Accepted Answer

$ a = 2, b = 5 $

Answer

$ a = 5, b = 2 $

Answer

$ a = 4, b = 5 $

Answer

$ a = 5, b = 4 $

Question 2

Degree of the differential equation $ \frac{d^2y}{dx^2} + 3 \left( \frac{dy}{dx} \right)^{\frac{1}{2}} = y^2 + e^x $ is:

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 3

General solution of the differential equation $ \frac{2y dx - 3x dy}{y} = 0 $ is (c is an arbitrary constant):

Accepted Answer

$ y^3 = cx^2 $

Answer

$ y = cx $

Answer

$ y^3 = x^2 $

Answer

$ y = cx^2 $

Question 4

Which of the following is the probability of $ x $ successes in a binomial distribution with number of trials $ n $ and probability of success as $ \theta $ ( $ 0 < \theta < 1 $ ) in each trial?

Accepted Answer

$ ^n c_x \theta^x (1 - \theta)^{n-x}, x = 0,1,2,\dots,n $

Answer

$ ^n p_x \theta^x (1 - \theta)^{n-x}, x = 0,1,2,\dots,n $

Answer

$ ^n c_x \theta (1 - \theta) $

Answer

$ ^n c_x \theta^x (1 - \theta)^x, x = 0,1,2,\dots,n $

Question 5

$\int_{2}^{3} |2x - 1| \,dx =$

Accepted Answer

4

Answer

5

Answer

6

Answer

8

CUET (UG) 2023 Mathematics Previous Year Paper (02-Jun-2023) (Shift 3)

CUET UG 2026 Mock Test Series

CUET UG Previous Year Paper Mock Test Series

CUET (UG) 2025 Commerce Domain Mock Test Series

CUET (UG) 2025 Humanities Domain Mock Test Series

CUET (UG) 2025 Science Domain Mock Test Series

CUET Domain Subject 2025 Mock Test Series (Latest Pattern)

CUET 2025 (General Test) Mock Test Series

CUET (UG) 2025 Language Mock Test Series