ISRO Scientist or Engineer Civil 2018

Instructions

For the following questions answer them individually

ISRO Scientist or Engineer Civil 2018 - Question 71


The value of

is

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

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