CUET · MATHS · PYQ PAPER 2025
A person can sell a maximum of 20 units of shirts and pants on which a profit of ₹40 is made on each shirt and a of ₹30 on each pant. A minimum of 2 shirts are being sold, while pants are sold at least 4 times as many as shirts the maximum profit is:
- A ₹480
- B ₹560
- C ₹640
- D ₹600
Answer & Solution
Correct Answer
(C) ₹640
Step-by-step Solution
Detailed explanation
Let \(x\) be the number of shirts and \(y\) be the number of pants. Objective function: \(P = 40x + 30y\) Constraints: \(x + y \le 20\) \(x \ge 2\) \(y \ge 4x\) Vertices of feasible region: \((x, y) = (2, 8)\) from \(x=2, y=4x\) \((x, y) = (4, 16)\) from \(y=4x, x+y=20\)…
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
- Which of the following aze correct about the linear programming problem (LPP)?
(A) The objective function is always linear.
(B) A corner point of a feasible region is a polut in the region which is the intersection of two boundary lines.
(C) The common region determined by all the linear constraints of a LPP is called the feasible region.
(D) If an LPP admits optimal solution at two points then its optimal values occurs at an infinite number of points.
Choose the correct answer from the options given below :CUET 2025 Easy - If matrix \(A=\left[\begin{array}{ccc}x & 2 & 3 \\ a & y & -5 \\ b & c & 0\end{array}\right]\) isa skew-symmetric matrix, then
(A) x + y + c = 5
(B) c = 5
(C) a + b + c = 0
(D) a + b - c = 10
Choose the correct answer from the options given below:CUET 2025 Medium - If the objective function Z = px + qy is maximum at (2,-2) and the maximum value is 8, such that p = 3q, then the values of p and q respectively are:CUET 2023 Easy
- The equation of perpendicular from the point \((1,0,1)\) to the plane \(x-y+z=4\) isCUET 2023 Medium
- If A is a square matrix such that \(A^2=A\) and I is the identity matrix of the same order as A, then \((I+A)^2-3 A\) is equal toCUET 2025 Hard
- The solution of the differential equation \((\cot y) d x=x d y\) is:CUET 2023 Hard
More PYQs from CUET
- Match List-I with List-II
An urn contains 4 white and 3 red balls. In a random draw of three balls, the probability of
Choose the correct answer from the options given below :List-I List-II (A) No red ball is (I) \(\frac{12}{35}\) (B) Only 1 red ball is (II) \(\frac{1}{35}\) (C) Exactly 2 red balls is (III) \(\frac{4}{35}\) (D) No white ball is (IV) \(\frac{18}{35}\) CUET 2025 Medium - Match List-I with List-II
List-I (Types of solutions) List-II (Examples) (A) Gas in Gas solution (I) Oxygen dissolved in water (B) Gas in Liquid solution (II) Copper dissolved in gold (C) Liquid in Solid solution (III) Mixture of oxygen and nitrogen gases (D) Solid in Solid solution (IV) Amalgam of mercury with sodium
Choose the correct answer from the options given below:CUET 2025 Hard - Identify the role of deoxyribonucleoside triphosphates in DNA replication.
A. Initiate replication.
B. Act as substrate.
C. Provide energy for polymerisation.
D. Activate ligases.
Choose the correct answer from the options given below:CUET 2023 Hard - Arrange the following in order of their appearance, if a sperm starts travelling from testicular lobules?
(A) Urethra
(B) Vas deferens
(C) Urethral meatus
(D) Vasa efferentia
Choose the correct answer from the options given below:CUET 2025 Easy - The endosperm is completely consumed by the developing embryo before seed maturation in :CUET 2023 Easy
- If we double the number of turns in a moving coil galvanometer, the voltage sensitivity of the galvanometerCUET 2025 Medium