CUET UG Mathematics — Applied-Mathematics previous year questions with solutions.
The second order derivative of which of the following functions is $5^x$ ?
As a factory owner, you have decided to purchase a heavy machinery after 10 years. It's expected price will be Rs. 1,00,00,000. For this you set aside a certain amount at the end of every year. Which of the following financial tool fits best for this purpose ?
The probability distribution of a discrete random variable X is given by : | X | 30 | 10 | -10 | |---|---|---|---| | P(X) | 1/5 | 3/10 | 1/2 | then E(X) is equals to
Solution for the inequality $|3x - 7| \leq 2$ is :
Which of the following are true for the given graph. (A) Break even point is at x = 10 (B) Break even point is at x = 8 (C) Break even point is at x = 6 (D) Fixed cost is 20 (E) Fixed cost is 0 Choose the correct answer from the options :
A vessel contains 56 litres of mixture of milk and water in the ratio 5:2. How much water should be mixed with it so that the milk to water ratio becomes 4:5
2 voices dice are thrown together. For the first die $P(6) = \frac{1}{2}$, other scores are equally likely. While for the second die $P(1) = \frac{2}{5}$ and other scores are equally likely than the Mean for the probability distribution of the number of one score will be
If $\begin{bmatrix} 2x & -7 \\ 5y & 8 \end{bmatrix} = \begin{bmatrix} 6 & -7 \\ -5 & 3x + y \end{bmatrix}$, then value of $5x - 3y$ is :
Irregular variation in a time series are not caused by :
The least positive integer X satisfying $28 \equiv x (\mod 6)$ is :
For the given 7 values 5, 7, 9, 2, 2, 3, 4 the five year moving averages are
For the LPP, Min $Z = 6x + 10y$ subject to $x \geq 6, y \geq 3, 2x + y \geq 10, x \geq 0, y \geq 0$, redundant constraint is :
A person started giving aside Rs. 10,000 each year for his child college education in a sinking fund the amount he will receive after 6 years. if the rate of interest is 10% per annum is : (Use $(1.1)^6 = 1.771$)
If $A = \begin{bmatrix} n & 0 & 0 \\ 0 & n & 0 \\ 0 & 0 & n \end{bmatrix}$ and $B = \begin{bmatrix} a_1 & a_2 & a_3 \\ b_1 & b_2 & b_3 \\ c_1 & c_2 & c_3 \end{bmatrix}$, then AB is equals to :
Which of the following is a correct set of constraint for a LPP ?
In a binomial distribution the probability of getting success is $\frac{1}{4}$ And standard deviation is 3 then its mean is ?
For the feasible reason of a LPP as shown, if the equation of OA and BC are $y - 2x = 0$ and $y - 2x = 4$ respectively than constraints for LPP are
A Simple random sample consists of four observation 1, 3, 5, 7. The point estimate of population standard deviation is
The degree of the differential equation $\left(1 - \left(\frac{dy}{dx}\right)^2\right)^{3/2} = k \frac{d^2 y}{dx^2}$ is :
Objective function of a LPP represent
At 8% converted quarterly the present value of perpetuity of Rs. 8000 payable at the end of each quarter ( in rupees) is :
If $C(x) = x^3 - \frac{5}{2} x^2 + 10$ represents the total cost of producing x unit by car manufacturing company. The slope of the marginal cost curve at $x = 3$, will be
If a matrix A is both symmetric and skew symmetric then :
Which of the following is a statistic ?