CUET UG Mathematics — Applied-Mathematics previous year questions with solutions.
If x is real, the minimum value of $f(x) = x^2 - 8x + 20$ is :
$P(X = x) = \begin{cases} 2k & \text{if } x = 0 \\ kx & \text{if } x = 1 \\ k(x - 1) & \text{if } x = 2 \text{ or } 3 \\ 0 & \text{otherwise} \end{cases}$ The value of k is
If a person goes 20 kilometre downstream in 5 hours and returns against the stream in 15 hours, then the speed of the stream in kilometre per hour is :
If $y = x^3 \log x$, then $\frac{d^2 y}{dx^2}$ is equal to :
A random variable X has a probability distribution P(X) of the following form, where k is some unknown constant: P(X = 0) = k P(X = 1) = 2k P(X = 2) = 3k P(X = other values) = 0 Then, find the value of 1/k.
the least non-negative remainder when $3^{17}$ is divided by 7 is :
An asset costing Rs. 1,50,000 has a final scrap value of Rs. 25,000. If annual depreciation charge is Rs. 25,000, then useful life of the asset is :
If $\begin{bmatrix} 5x + 8 & 7 \\ y + 3 & 10x + 12 \end{bmatrix} = \begin{bmatrix} 2 & 3y + 1 \\ 5 & 0 \end{bmatrix}$, then the value of $5x + 3y$ is equal to :