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CUET Mathematics 2022 Mathematics Mock Tests & Questions

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CUET Mathematics 2022

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59 min · 49 questions · 245 marks

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CUET Mathematics 2022 1 section

Mathematics

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59 min · 49 questions · 245 marks

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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
Assume \(P, Q, R\) and \(S\) are matrices of order \(2 \times m\), \(k \times n\), \(m \times 2\) and \(2 \times 3\) respectively. The restrictions on \(k, m\) and \(n\), so that \(PQ + RS\) is defined are
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The system of equations \(3x + 4y = 5, 6x + 7y = -8\) is written in matrix form as
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
If \(2\begin{bmatrix}a & d\\ b & c\end{bmatrix} + 3\begin{bmatrix}1 & -1\\ 0 & 2\end{bmatrix} = 3\begin{bmatrix}3 & 5\\ 4 & 6\end{bmatrix}\), then the value of \(|a + b - c - d|\) is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
Consider the function \(f(x) = x^{\frac{1}{x}}\). Its
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The given function \(f(x) = x^5 - 5x^4 + 5x^3 - 1\) has/have (A) Local maxima at \(x = 1\) (B) Local maximum value is 0 (C) Local minimum at \(x = 3\) (D) Local minimum value is -28 (E) The point of inflexion is…
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
Match List-I with List-II List-I | List-II (A) If \(x = t^2\) and \(y = t^3\) then \(\frac{d^2y}{dx^2}\) at \(t = 1\) | (i) -2 (B) If \(f(x) = \sqrt{x} + 1\), the \(f^{\prime}(1)\) | (ii) -1 (C) The minimum value of…
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The area enclosed by the curve \(y^2 = 4ax\) and its latus rectum is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
\(\int \frac{xe^x}{(x+1)^2}\,dx =\)
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The solution of the differential equation \((x + 1)\frac{dy}{dx} = 1 + y\) is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
Order and degree of the differential equation \(y\frac{dy}{dx} + \frac{4}{\frac{dy}{dx}} = 5\) are
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
Derivative of \(x^3 + 1\) with respect to \(x^2 + 1\) is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
Solution of the differential equation \((x + xy)dy - y(1 - x^2)dx = 0\) is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
Two numbers are selected at random (without replacement) from the first three positive integers. Let \(X\) denotes the larger of the two integers, then the probability distribution of \(X\) is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The probability distribution of number of doublets in three throws of a pair of dice is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
In linear programming, the optimal value of the objective function is attained at the points given by
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
If R is a relation on Z (set of all integers) defined by \(xRy\), if \(|x - y| \leq 1\), then (1) \(R\) is reflexive (2) \(R\) is symmetric (3) \(R\) is transitive (4) \(R\) is not symmetric (5) \(R\) is not transitive C…
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
If the vertices of a triangle \(ABC\) are \(A(1,2,1)\), \(B(4,2,3)\) and \(C(2,3,1)\), then the equation of the median passing through the vertex A, is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
A line makes the angle \(\theta\) with each of the \(x\) and \(z\) axes. If the angle \(\beta\) which it makes with \(y\)-axis is such that \(\sin^2\beta = 3\sin^2\theta\), then the value of \(\cos^2\theta\) is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
If \(x = 2\sin\theta\) and \(y = 2\cos\theta\), then the value of \(\frac{d^2y}{dx^2}\) at \(\theta = 0\) is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
If \(x = e^{y + e^{y + \cdots\infty}}\), \(x > 0\), then \(\frac{dy}{dx}\) is equal to
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
\(\sin^{-1}(1 - x) - 2\sin^{-1}x = \frac{\pi}{2}\), then \(x\) is equal to (A) 0 (B) 1 (C) \(\frac{1}{2}\) (D) 2 Choose the most appropriate answer from the options given below:
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The smaller of the areas enclosed by the circle \(x^2 + y^2 = 4\) and the line \(x + y = 2\) is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
If \(0 < x < \pi\) and the matrix \(\begin{bmatrix}4\sin x & -1\\ -3 & \sin x\end{bmatrix}\) is singular, then the values of \(x\) are:
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
\(\int_{1/3}^{1}\frac{(x - x^3)^{1/3}}{x^4}\,dx =\)
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The function \(f(x) = e^{|x|}\) is (A) continuous everywhere on \(R\) (B) not continuous at \(x = 0\) (C) Differentiable everywhere on \(R\) (D) not differentiable at \(x = 0\) (E) continuous and differentiable on \(R\)…
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
[Figure: Mapping diagram of a relation f from set A = {a, b, c} to set B = {1, 2, 3, 4}. Arrows: a to 1, a to 3, b to 2, c to 4. So element a has two arrows (to 1 and to 3).] Which of the following is true on the basis o…
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
If the points \((2, -3)\), \((\lambda, -1)\) and \((0, 4)\) are collinear, then the value of \(\lambda\) is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The value of \(\sin\left[2\cot^{-1}\left(\frac{-5}{12}\right)\right]\) is:
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
Let \(y = m\sin rx + n\cos rx\). What is the value of \(\frac{d^2y}{dx^2}\)?
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The integrating factor of the differential equation \(\cos x\frac{dy}{dx} + y\sin x = 1\) is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The order and degree of the differential equation \(\left[\left(\frac{d^2y}{dx^2}\right) - 3\right]^{\frac{1}{3}} = 2\left(\frac{dy}{dx}\right)^{\frac{1}{4}}\) are
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
\(\int\sqrt{1 - 49x^2}\,dx\) is equal to
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The shortest distances of the point \((1,2,3)\) from \(x, y, z\) axes respectively are
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
Distance between two planes \(x + 2y - z = 5\) and \(2x + 4y - 2z + 2 = 0\) is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
If \(\vec{a} = a_1\hat{i} + a_2\hat{j} + a_3\hat{k}\) and \(\vec{b} = b_1\hat{i} + b_2\hat{j} + b_3\hat{k}\) are two non zero vectors inclined at an angle \(\theta\), then identify the correct option out of the given opt…
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
If \(\vec{p} = \hat{i} + \hat{j} - 2\hat{k}\) and \(\vec{q} = 2\hat{i} + \hat{j} - \hat{k}\), then the area of parallelogram having diagonals \((\vec{p} + \vec{q})\) and \((\vec{p} - \vec{q})\) is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
If \(\vec{a}, \vec{b}\) and \(\vec{c}\) are three unit vectors such that \(\vec{a} + \vec{b} + \vec{c} = 0\) then the value of \(\vec{a}\cdot\vec{b} + \vec{b}\cdot\vec{c} + \vec{c}\cdot\vec{a}\) is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The corner points of the feasible region for an L.P.P. are \((0, 10)\), \((5, 5)\), \((15, 15)\) and \((0, 20)\). If the objective function is \(z = px + qy\); \(p, q > 0\), then the condition on \(p\) and \(q\) so that…
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
\(\int x\sqrt{x + 2}\,dx\) is equal to:
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
Three urns contain 6 red, 4 black; 4 red, 6 black and 5 red, 5 black marbles respectively. One of the urns is selected at random and a marble is drawn from it. If the marble drawn is red, then the probability that it is…
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The probability that exactly two of them complete the task on time is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The probability that \(B\) alone complete the task on time is:
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The probability that the task is completed on time by none of them is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The probability that task is completed on time by at least one of them is:
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The equations in terms of \(x\) and \(y\) are:
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The value \(x\) is:
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The value of \(y\) is
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The value of the expression \(\frac{x^2 + y^2}{x - y}\) is:
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CUET UG CUET Mathematics 2022 Mathematics Medium MCQ (Single Correct)
The area of rectangular field is:
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