CUET · MATHS · PYQ PAPER 2025
The minimum value of the objective function \(Z=x+2 y\) of an L.P.P. subject to constraints
\(2 x+y \geq 3, \frac{x}{2}+2 y \geq 6, x \geq 0, y \geq 0\) is
- A \(12\)
- B \(6\)
- C \(\frac{3}{2}\)
- D \(0\)
Answer & Solution
Correct Answer
(B) \(6\)
Step-by-step Solution
Detailed explanation
Vertices of the feasible region: \(2x+y \geq 3, x+4y \geq 12, x \geq 0, y \geq 0\) Intersection of \(x=0\) and \(x+4y=12 \implies 0+4y=12 \implies y=3\). Vertex: \((0,3)\). Check for \((0,3)\): \(2(0)+3 = 3 \geq 3\). Feasible. Intersection of \(y=0\) and…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from MATHS
- Match List I with List II
LIST I LIST II A. \(\lim_{x \to 0} \frac{(1 - \cos 2x) \sin 5x}{x^2 \sin 3x}\) I. 18 B. \(\lim_{x \to \infty} \frac{(3x-5)(2x-7)}{(4x-9)(5x-3)}\) II. \(\frac{10}{3}\) C. \(\lim_{x \to 0} \frac{2 \sin^2 3x}{x^2}\) III. \(\frac{3}{4}\) D. \(\lim_{x \to \frac{\pi}{4}} \frac{1 - \cos^3 x}{2 \cot x - \cot^3 x}\) IV. \(\frac{3}{10}\)
Choose the correct answer from the options given below:CUET 2023 Hard - For the given five values \(15,24,18,33,42\), the three years moving averages are :CUET 2025 Medium
- If \(\left[\begin{array}{lll}1 & 2 & 1\end{array}\right]\left[\begin{array}{lll}1 & 2 & 0 \\ 2 & 0 & 1 \\ 1 & 0 & 2\end{array}\right]\left[\begin{array}{l}0 \\ 2 \\ x\end{array}\right]=0\), then value of x isCUET 2025 Easy
- Match List-I with List-II
Choose the correct answer from the options given below :List-I (Differential equation) List-II (Order and degree) (A) \(\left(y^{\prime \prime}\right)^3+\left(y^{\prime}\right)^4-6=\left(y^{\prime \prime \prime}\right)^2\) (I) Order \(=1\), Degree = 2 (B) \(\sqrt{\left(y^{\prime}\right)^2+5}=y^{\prime \prime}\) (II) Order \(=2\), Degree = 3 (C) \(\left(y^{\prime}\right)^2=\left(2+y^{\prime \prime}\right)^{3 / 2}\) (III) Order \(=2\), Degree = 2 (D) \(y=x y^{\prime}+\sqrt{a^2\left(y^{\prime}\right)^2+b^2}\) (IV) Order \(=3\), Degree = 2 CUET 2025 Hard - An edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?CUET 2023 Hard
- The value of \(\int_{-\pi / 6}^{\pi / 6}\left(4 x^5+x \sin ^2 x+\tan ^3 x+2\right) d x\) is :CUET 2023 Easy
More PYQs from CUET
- The number of vectors of unit length perpendicular to both the vectors \(\vec{a} = \hat{i} + 2\hat{j} + 3\hat{k}\) and \(\vec{b} = \hat{i} - \hat{j} + 3\hat{k}\) is:CUET 2023 Easy
- The resistivity of the material of a wire of length 15 m, area of cross-section \( 6 \times 10^{-7} \text{ m}^2 \) and resistance 10 \(\Omega\) will beCUET 2025 Easy
- The necessary conditions for total internal reflection are
(A) Light must travel from denser to rarer medium.
(B) The angle of incidence in the denser medium must be less than the critical angle for the two media.
(C) Light must travel from rarer to denser medium.
(D) The angle of incidence in the denser medium must be greater than the critical angle for the two media.
Choose the correct answer from the options given below:CUET 2025 Hard - Which two transition metal ions has same \(3d\) electronic configuration?
A. \(Mn^{3+}\)
B. \(Fe^{2+}\)
C. \(Mn^{2+}\)
D. \(Fe^{3+}\)
E. \(Cr^{3+}\)
Choose the correct answer from the options given below :CUET 2023 Hard - There are four media in which light is traveling. The speed of light in each medium along with relative permeability of the medium are given as below. Arrange the relative permittivity of each of the medium in increasing order.
(A) Medium I: \( v_1 = 2 \times 10^8 \, \text{m/s}, \mu_r = 1 \)
(B) Medium II: \( v_{II} = 1.5 \times 10^8 \, \text{m/s}, \mu_r = 1 \)
(C) Medium III: \( v_{III} = 3 \times 10^8 \, \text{m/s}, \mu_r = 1 \)
(D) Medium IV: \( v_{IV} = 2 \times 10^8 \, \text{m/s}, \mu_r = 2 \)CUET 2025 Hard - Match List I and List II.
List-I List-II A. Oxidation state of Mn in MnO2 is I. +2 B. Most stable oxidation state of Mn is II. +3 C. Most stable oxidation state of Mn in MnO4- is III. +4 D. Characteristic oxidation state of lanthanoids IV. +7 CUET 2023 Easy