ISRO Scientist or Engineer Civil 2018
For the following questions answer them individually
ISRO Scientist or Engineer Civil 2018 - Question 72
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
ISRO Scientist or Engineer Civil 2018 - Question 73
The complete solution of the linear differential equation
$$\frac{\text{d}^2z}{\text{d}t^2} + (p + q) \frac{\text{d}z}{\text{d}t} + pqz = 0$$
ISRO Scientist or Engineer Civil 2018 - Question 74
The sequence $$\lim_{a \rightarrow \infty} \left[ 3 + (-1)^n\right]$$ is
ISRO Scientist or Engineer Civil 2018 - Question 75
Then the product of determinant P and Q ( PQ ) has the value
ISRO Scientist or Engineer Civil 2018 - Question 76
The differential equation $$y = x \frac{\text{d}y}{\text{d}x} + \frac{x}{\frac{dy}{dx}}$$ is
ISRO Scientist or Engineer Civil 2018 - Question 77
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
ISRO Scientist or Engineer Civil 2018 - Question 78
The difference of two complex numbers $$(x_1 + iy_1)$$ and $$(x_2 + iy_2)$$ is
ISRO Scientist or Engineer Civil 2018 - Question 79
The value of $$\lim_{x \rightarrow 0} \frac {\log x}{\cot x}$$ is
ISRO Scientist or Engineer Civil 2018 - Question 80
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
