CUET · MATHS · PYQ PAPER 2025

Which one of the following statement is not correct?

A Sample is a collection of some elements of population having same characteristic.
B The measurable characteristic of sample is called statistic.
C A survey done using a sample of the population has no margin of error.
D The sample makes inference about the population.

Verified Solution

Answer & Solution

Correct Answer

(C) A survey done using a sample of the population has no margin of error.

Step-by-step Solution

Detailed explanation

The incorrect statement is: A survey done using a sample of the population has no margin of error.

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

Match List-I with List-II

LIST-I (Function \(f(x)\))	LIST-II (Interval)
(A) \(f(x)=x\|x\|\)	(I) Decreases on (0, \(\infty\) )
(B) \(f(x)=x^2+2 x-5\)	(II) Increases on ( \(3, \infty\) )
(C) \(f(x)=x^2-6 x+9\)	(III) Decreases on \((-\infty,-1)\)
(D) \(f(x)=-x^2\)	(iv) Increases on \((-\infty, \infty)\)

Choose the correct answer from the options given below:

CUET 2023 Hard

A random sample of size 16 has 53 as mean. The sum of the squares of the deviations taken from mean is 150 . If the population mean is 56 then the value of \(t\)-test statistic is :

CUET 2025 Hard

Consider the equation of the line \(\vec{r}=-\hat{i}+2 \hat{k}+\mu(4 \hat{i}-\hat{j}+2 \hat{k})\).
Match List-I with List-II

List-I	List-II
(A) It passes through the point	(I) \(4,-1,2\)
(B) Its direction ratios are	(II) \(\frac{4}{\sqrt{21}}, \frac{-1}{\sqrt{21}}, \frac{2}{\sqrt{21}}\)
(C) Its Cartesian form is	(III) \((-1,0,2)\)
(D) Its direction cosines are	(IV) \(\frac{x+1}{4}=\frac{y}{-1}=\frac{z-2}{2}\)

Choose the correct answer from the options given below :

CUET 2025 Medium

Which of the following statements are true?
(A) Degree of the differential equation \(\frac{d^2 y}{d x^2}+y=1\) is 2.
(B) Number of arbitrary constants in the particular solution the differential equation of order 4 are 4.
(C) \(y^2=a\left(b^2-x^2\right)\) will be the general solution of a differential equation of order 2; where a and b are two arbitrary constants.
(D) \(f(x, y)=\frac{2 x-y}{x+3 y}\) is a homogeneous function of degree 1.
(E) Integrating factor of \(x \frac{d y}{d x}-y=2 x^2\) is \(\frac{1}{x}\).
Choose the correct answer from the options given below:

CUET 2023 Easy

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