CUET UG Mathematics — Applied-Mathematics previous year questions with solutions.
If A and B are events such that $P(A/B) = P(B/A)$, then :
A die is thrown. If A is the event 'the number appearing is a multiple of 3 and B is the event 'the number appearing is even', then A and B are
Which constraints correctly represent the situation 'mixture of x and y must be at least 8 units' ?
The sum of the minor and the cofactor of the element 6 in the determinant $\begin{vmatrix} 2 & 3 & 1 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{vmatrix}$ is :
If $(x+ 1) e^y = 1$ , then :
Match List - I with list- II | List-I Equation of curves | List - II Slope of tangent at x = 2 | |---|---| | A. $Y = x^3 - x$ | 8 | | B. $Y = (x-2)^2$ | 2/3 | | C. $Y = 2x^2 + 3$ | 11 | | D. $Y = \sqrt{4x + 1} - 7$ | 0 | Choose the correct option below :
If $\begin{vmatrix} 2 & 4 \\ 5 & 1 \end{vmatrix} = \begin{vmatrix} 2x & 4 \\ 6 & x \end{vmatrix}$, then x is equal to :
The value of a for which the function $f(x) = a^x$ is increasing on R are given by :
The feasible reason for the constraints $x \geq 0$, $x + y \leq 1$ and $x - y \leq 1$, is situated in : (A) I and II quadrant only (B) I Quadrant (C) II and IV Quadrant (D) IV Quadrant (E) I , II , III and IV Quadrant Choose the correct answer from the option given below :
A matrix has 24 elements , which of the following cannot be the possible order of the matrix
Match List - I with list- II | List-I , Differential equation | List - II , Degree | |---|---| | A. $\left(\frac{dy}{dx}\right)^3 + yx = 0$ | 2 | | B. $e^{\frac{dy}{dx}} + y^2 + y'' = 0$ | 1 | | C. $Xyy'' + x(y')^2 - yy' = 0$ | Not defined | | D. $(Y'')^2 + y = 0$ | 3 | Choose the correct option below :
Any function f(x) is an increasing function in [a,b] if : (A) $x_1, x_2 \in [a, b], f(x_1) \geq f(x_2)$ if $x_1 < x_2$ (B) $x_1, x_2 \in [a, b], f(x_1) \geq f(x_2)$ if $x_1 > x_2$ (C) (A) $x_1, x_2 \in [a, b], f(x_1) \leq f(x_2)$ if $x_1 < x_2$ (D) (A) $x_1, x_2 \in [a, b], f(x_1) < f(x_2)$ if $x_1 > x_2$
Match List - I with list- II | List-I | List - II | |---|---| | A. the probability distribution is applied for discrete random variable | normal distribution | | B. A normal distribution is symmetric about | standard deviation | | C. this probability distribution is applied for continuous random variable | mean | | D. the shape of normal curve depend upon | Poisson distribution | Choose the correct option below :
A sum of Rs 60,000 invested at r percent compounded quarterly will provide payment at rupees 600 each at the end of every three months , then the value of r is :
A die is rolled thrice. What is the probability of getting a number greater than 4 in the first and the second throw of dice and a number less than 4 in the third throw?
Which of the following is false about the central limit theorem
Value of Z equals to 40x + 50y subject to constraints $3x + y \leq 9$, $x + 2y \leq 8$, $x, y \geq 0$ occurs at
Which of the following is not true
Evaluate $3^{15} \mod(7)$
The corner point of the feasible region determined by a set of linear constraints are : (0,0) , (0,4), (2,5) , (6,3) and (6,0) then which of the following point lie in the feasible region ?
Out of 1000 employees, 100 have to be selected for a survey . After being arranged in the alphabetical order each one is assigned a number from 1 to 1000. A number 4 is selected and then every 10th person is selected (i.e 4 , 14, 24 ... ) . Which form of sampling is this an example of ?
If $A = \begin{bmatrix} -2 & 1 \\ 3 & 2 \end{bmatrix}$ and $B' = \begin{bmatrix} -1 & 1 \\ 0 & 2 \end{bmatrix}$, then $(A+2B)' =$
For a given data of 5 observation $\sum y = 311$, $\sum x^2 = 10$ and $\sum xy = 90$. The equation of the trend line is :
If the cost function and the profit function for a company is given by $C = 10 - 0.3x^2$ and $P = 0.3x^2 + 2x - 10$ respectively , where X represent units of output, then the revenue function is given by :