ISRO Scientist or Engineer Civil 2018
For the following questions answer them individually
A rectangular sheet of metal of length 6m and width 2 m is given. Four equal squares are removed from the corners. The sides of this sheet are now turned up to form an open rectangular box. The height of box such that the volume of the box is maximum will be
The complete solution of the linear differential equation
$$\frac{\text{d}^2z}{\text{d}t^2} + (p + q) \frac{\text{d}z}{\text{d}t} + pqz = 0$$
The differential equation $$y = x \frac{\text{d}y}{\text{d}x} + \frac{x}{\frac{dy}{dx}}$$ is
In a square matrix $$A = [ a_ij ],$$ if $$a_ij = − a_ji$$ for all i and j so that all the leading diagonal elements are zero, then the matrix is called
A box contains 5 red and 10 green balls. Eight (8) of them are placed in another box. The chances that the latter box contains 2 red and 6 green balls are
