CUET Mathematics Mock Test - 3

Find the solution set of $y$ for the system: $10x+8y\le 80$, $x\ge 0$, $y\ge 6$.

If $A$ is the identity matrix of order 3 and $B$ is its transpose, then what is the value of the determinant of the matrix $C=A+B$?

What is the area under the curve $f(x)=x{e}^x$ above the x-axis and between $x=0$ and $x=1$?

Find the value of $\sin \left(\frac{\pi }{3}-{\sin }^{-1}(-\frac{1}{2})\right)$

A pair of fair dice is thrown. What is the probability of getting a six on both, given at least one die gets six?