CUET Mathematics Mock Test - 4

For the given ordinary differential equation, $\frac{dx}{dy}+x{\sec }^{2}y=e^{-\tan y}$, the integrating factor will be equal to:

If $A=\left[\begin{array}{ccc}2& 0& 0\\ 0& 2& 0\\ 0& 0& 2\end{array}\right]$, then $A^5$ is equal to:

What will be the weekday on 15th of August if 15th of July on the same year was Sunday?

A tap can fill a tank in 8 hrs. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

A LED TV costs $\text{₹}25000$ and is expected to have a life of 8 years. Its final scrap value is $\text{₹}5000$. The annual depreciation according to the linear method of depreciation is: