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

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CUET UG Mathematics Applied
Previous Year Questions

CUET UG Mathematics Applied
Previous Year Questions
CUET UG Mathematics Applied

CUET UG Mathematics Applied Previous Year Questions (PYQs)

CUET UG Mathematics Applied Mathematics PYQ

Qus : 1 CUET UG Mathematics Applied PYQ

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

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Qus : 2 CUET UG Mathematics Applied PYQ

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

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Qus : 3 CUET UG Mathematics Applied PYQ

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

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Qus : 4 CUET UG Mathematics Applied PYQ

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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Qus : 5 CUET UG Mathematics Applied PYQ

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

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

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

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Qus : 8 CUET UG Mathematics Applied PYQ

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

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

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

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

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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Qus : 13 CUET UG Mathematics Applied PYQ

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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Qus : 14 CUET UG Mathematics Applied PYQ

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

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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Qus : 16 CUET UG Mathematics Applied PYQ

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

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

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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Qus : 19 CUET UG Mathematics Applied PYQ

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

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Qus : 20 CUET UG Mathematics Applied PYQ

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

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

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

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

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

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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