CUET · MATHS · PYQ PAPER 2025

Let \(A\) be a \(3 \times 7\) matrix, then each column of \(A\) contains :

A 7 elements
B 3 elements
C 21 elements
D 10 elements

Verified Solution

Answer & Solution

Correct Answer

(B) 3 elements

Step-by-step Solution

Detailed explanation

3 elements

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

Same subject

If the system of equations \(k x+y+z=0, x+k y-z=0, x-y+z=0\) has a non-zero solution, then the possible values of \(k\) are

CUET 2025 Hard
The corner points of the feasible region determined by the following system of linear inequalities \(2 x+y \leq 10, x+3 y \leq 15, x, y \geq 0\) are \((0,0),(5,0),(3,4)\) and \((0,5)\). Let \(z=p x+q y\) where \(p\) and \(q>0\). The condition on \(p\) and \(q\) so that the maximum of \(z\) occurs at both \((3,4)\) and \((0,5)\) is :

CUET 2023 Medium
The approximate volume of a cube of side a meters on increasing the side by 4% is:

CUET 2023 Easy
The area enclosed between the curves \(y=x^2\) and \(x=y^2\) is

CUET 2023 Easy
The area of the region bounded by the curves \(x^2 = 4y\), the line \(x = 3\) and x axis is:

CUET 2023 Medium
The corner points of the feasible region determined by the system of linear constraints are \((0,3),(1,1)\) and \((3,0)\).
Let \(Z=p x+q y\), where \(p, q>0\), be the objective function.
Then the condition on \(p\) and \(q\) so that the minimum of \(Z\)
occurs at \((3,0)\) and \((1,1)\) is:

CUET 2023 Easy

Explore more questions on app

From CUET

If \(\vec{a}, \vec{b}, \vec{c}\) are unit vectors such that \(\vec{a}+\vec{b}+\vec{c}=\overrightarrow{0}\), then the value of \(\vec{a} \cdot \vec{b}+\vec{b} \cdot \vec{c}+\vec{c} \cdot \vec{a}\) is:

CUET 2023 Medium
The integral \(\int \frac{d x}{\sqrt{\frac{1}{2}-5 x-x^2}}\) is equal to:

CUET 2023 Hard
Development of fruits without fertilization is known as -

CUET 2023 Easy
Match List I with List II
LIST I LIST II
A. Curd I. Streptococcus
B. Butyric acid II. Propionibacterium sharmanii
C. Swiss cheese III. Clostridium butylicum
D. Clot buster IV. Lactobacillus

Choose the correct answer from the options given below:

CUET 2023 Medium
If \(A\) and \(B\) are independent events, then which of the following statements are TRUE?
(A) \(P(A \cap B)=P(A) \cdot P(B)\)
(B) \(P(A \cap B)=P(A)-P(B)\)
(C) \(P(A \cup B)=P(A)+P(B)-P(A) \cdot P(B)\)
(D) \(P(A \cap B)=P(A) \cdot P(B \mid A)\)
Choose the correct answer from the options given below :

CUET 2025 Hard
Let the degree and order of the differential equation \(2 x^3 \frac{d y}{d x}-5\left(\frac{d^2 y}{d x^2}\right)^2=6\left(\frac{d y}{d x}\right)^3\) be \(m\) and \(n\) respectively. Then
(A) \(m=2\)
(B) \(n=3\)
(C) \(m=3\)
(D) \(m n=4\)

CUET 2025 Easy

Explore more questions on app

LIST I	LIST II
A. Curd	I. Streptococcus
B. Butyric acid	II. Propionibacterium sharmanii
C. Swiss cheese	III. Clostridium butylicum
D. Clot buster	IV. Lactobacillus