CUET UG Mathematics Applied 2024 Previous Year Question Paper and Solution with PDF

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CUET UG Mathematics Applied
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CUET UG Mathematics Applied

CUET UG Mathematics Applied Previous Year Questions (PYQs)

CUET UG Mathematics Applied 2024 PYQ

Qus : 1 CUET UG Mathematics Applied PYQ 2024

$\displaystyle \int \frac{\pi}{x^{n+1}-x}dx=$

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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2024 Mathematics PYQ

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Qus : 2 CUET UG Mathematics Applied PYQ 2024

$\displaystyle \int_{0}^{1}\frac{a-bx^{2}}{\left(a+bx^{2}\right)^{2}}dx\ \text{is:}$

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Qus : 3 CUET UG Mathematics Applied PYQ 2024

The second order derivative of which of the following functions is $5^x$?

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Qus : 4 CUET UG Mathematics Applied PYQ 2024

The degree of the differential equation $\left(1-\left(\dfrac{dy}{dx}\right)^2\right)^{3/2}=k\dfrac{d^2y}{dx^2}$ is:

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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2024 Mathematics PYQ

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Qus : 5 CUET UG Mathematics Applied PYQ 2024

If $A$ and B are symmetric matrices of the same order, then AB-BA is a:

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Qus : 6 CUET UG Mathematics Applied PYQ 2024

If A is a square matrix of order $4$ and |A|=4, then |2A| will be:

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Qus : 7 CUET UG Mathematics Applied PYQ 2024

If $[A]_{3\times 2}[B]_{x\times y}=[C]_{3\times 1}$, then:

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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2024 Mathematics PYQ

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Qus : 8 CUET UG Mathematics Applied PYQ 2024

If a function $f(x)=x^{2}+bx+1$ is increasing in the interval $[1,2]$, then the least value of $b$ is:

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Qus : 9 CUET UG Mathematics Applied PYQ 2024

Two dice are thrown simultaneously. If X denotes the number of fours, then the expectation of X will be:

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Qus : 10 CUET UG Mathematics Applied PYQ 2024

For the function $f(x)=2x^{3}-9x^{2}+12x-5$, $x\in[0,3]$, match List-I with List-II:

List-I

List-II

(A) Absolute maximum value

(B) Absolute minimum value

(D) Point of minima

(I) 3

(II) 0

(III) −5

(IV) 4

Choose the correct answer from the options given below:

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Qus : 11 CUET UG Mathematics Applied PYQ 2024

The rate of change (in $\text{cm}^2/\text{s}$) of the total surface area of a hemisphere with respect to radius $r$ at $r=\sqrt[3]{1.331}\ \text{cm}$ is:

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Qus : 12 CUET UG Mathematics Applied PYQ 2024

The area of the region bounded by the lines $\dfrac{x}{7\sqrt{3}a}+\dfrac{y}{b}=4$, $x=0$ and $y=0$ is:

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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2024 Mathematics PYQ

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Qus : 13 CUET UG Mathematics Applied PYQ 2024

If $A$ is a square matrix and $I$ is an identity matrix such that $A^{2}=A$, then $A(I-2A)^{3}+2A^{3}$ is equal to:

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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2024 Mathematics PYQ

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Qus : 14 CUET UG Mathematics Applied PYQ 2024

The value of the integral $\displaystyle \int_{\log_{e}2}^{\log_{e}3}\frac{e^{2x}-1}{e^{2x}+1},dx$ is:

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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2024 Mathematics PYQ

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Qus : 15 CUET UG Mathematics Applied PYQ 2024

If $\vec a,\ \vec b$ and $\vec c$ are three vectors such that $\vec a+\vec b+\vec c=\vec 0$, where $\vec a$ and $\vec b$ are unit vectors and $|\vec c|=2$, then the angle between the vectors $\vec b$ and $\vec c$ is:

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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2024 Mathematics PYQ

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Qus : 16 CUET UG Mathematics Applied PYQ 2024

Match List-I with List-II :

List-I	List-II
(A) $\|x-1\|+\|x-2\|$	(I) is differentiable everywhere except at x = 0
(B) $x-\|x\|$	(II)is continuous everywhere
(C) $x-[x]$	(III) is not differentiable at x = 1
(D) $x\|x\|$	(IV) is differentiable at x = 1

Choose the correct answer from the options given below:

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Qus : 17 CUET UG Mathematics Applied PYQ 2024

Match List-I with List-II :

List-I	List-II
(A) Integrating factor of $x\,dy-(y+2x^{2})\,dx=0$	(I) $\dfrac{1}{x}$
(B) Integrating factor of $(2x^{2}-3y)\,dx=x\,dy$	(II) $x$
(C) Integrating factor of $(2y+3x^{2})\,dx+x\,dy=0$	(III) $x^{2}$
(D) Integrating factor of $2x\,dy+(3x^{3}+2y)\,dx=0$	(IV) $x^{3}$

Choose the correct answer from the options given below:

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Qus : 18 CUET UG Mathematics Applied PYQ 2024

If the function $f:\mathbb{N}\to\mathbb{N}$ is defined as $$f(x)=\begin{cases}{n-1} & {,\, If\, \, n\, \, is\, \, even} \\ {n+1} & {,If\, n\, is\, odd}\end{cases}$$ then

(A) $f$ is injective

(B) $f$ is into

(D) $f$ is invertible

Choose the correct answer from the options given below :

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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2024 Mathematics PYQ

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Qus : 19 CUET UG Mathematics Applied PYQ 2024

$\displaystyle \int_{0}^{\pi/2}\frac{1-\cot x}{cosec x+\cos x},dx=$

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CUET UG Mathematics Applied Previous Year PYQ CUET UG Mathematics Applied CUET UG 2024 Mathematics PYQ

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Qus : 20 CUET UG Mathematics Applied PYQ 2024

If the random variable $X$ has the following distribution :

X	P(X)
0	k
1	2k
2	3k
otherwise	0

Match List-I with List-II :

List-I	List-II
(A) $k$	(I) $\dfrac{5}{6}$
(B) $P(X<2)$	(II) $\dfrac{4}{3}$
(C) $E(X)$	(III) $\dfrac{1}{2}$
(D) $P(1\le X\le 2)$	(IV) $\dfrac{1}{6}$

Choose the correct answer from the options given below :

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Qus : 21 CUET UG Mathematics Applied PYQ 2024

The corner points of the feasible region determined by x + y ≤ 8, 2x + y ≥ 8, x ≥ 0, y ≥ 0 are A(0, 8), B(4, 0), and C(8, 0). If the objective function Z = ax + by has its maximum value on the line segment AB, then the relation between a and b is:

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Qus : 22 CUET UG Mathematics Applied PYQ 2024

If $t=e^{2x}$ and $y=ln(t^2)$, then $\frac{d^2y}{dx^2}$ is

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Qus : 23 CUET UG Mathematics Applied PYQ 2024

An objective function Z = ax + by is maximum at points (8, 2) and (4, 6). If a ≥ 0, b ≥ 0, and ab = 25, then the maximum value of the function is:

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Qus : 24 CUET UG Mathematics Applied PYQ 2024

The area of the region bounded by the lines x + 2y = 12, x = 2, x = 6, and the x-axis is:

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Qus : 25 CUET UG Mathematics Applied PYQ 2024

A die is rolled thrice. What is the probability of getting a number greater than 4 in the first and second throw of the dice, and a number less than 4 in the third throw?

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CUET UG Mathematics Applied

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