[Download PDF] ISRO Scientist or Engineer Refrigeration & Air-Conditioning 2017 Paper with Solutions

Instructions

For the following questions answer them individually

Question 71

A is a 3 $$\times$$ 4 real matrix and Ax = b is a consistent system of equations. The highest possible rank of A is

Video Solution

Question 72

The value of the quantity P where $$P = \int_{0}^{1} xe^x dx$$ is equal to

Video Solution

Question 73

The solution of the differential equation $$\frac{dy}{dx} = \frac{-x}{y}$$ at $$x = 1$$ and $$y = \sqrt(3)$$ is

Video Solution

Question 74

The analytic function $$f(z) = \frac{z - 1}{z^2 + 1}$$ has singularities at

Video Solution

Question 75

X is a uniformly distributed random variable that takes value between 0 and 1. The value of E(X$$^3$$) will be

Video Solution

Question 76

The equation $$e^x − 1 = 0$$ is required to be solved using Newton’s method with an initial guess of $$x_0 = −1$$. Then after one step of Newton’s method, the estimate $$x_1$$ of the solution will be

Video Solution

Question 77

Laplace transform of $$f(t) = t^2 \sin t$$ is

Video Solution

Question 78

The residue of a complex function $$x(z) = \frac{1 - 2z}{z(z - 1)(z - 2)}$$ at its poles are

Video Solution

Question 79

The solution of the differential equation $$\frac{dy}{dx} + y^2 = 0$$ is

Video Solution

Question 80

A box contains 10 screws, 3 of which are defective. Two screws are drawn at random with replacement. The probability that none of the two screws will be defective is:

Video Solution

CAT Content

ISRO Scientist or Engineer Refrigeration & Air-Conditioning 2017

A is a 3 $$\times$$ 4 real matrix and Ax = b is a consistent system of equations. The highest possible rank of A is

The value of the quantity P where $$P = \int_{0}^{1} xe^x dx$$ is equal to

The solution of the differential equation $$\frac{dy}{dx} = \frac{-x}{y}$$ at $$x = 1$$ and $$y = \sqrt(3)$$ is

The analytic function $$f(z) = \frac{z - 1}{z^2 + 1}$$ has singularities at

X is a uniformly distributed random variable that takes value between 0 and 1. The value of E(X$$^3$$) will be

The equation $$e^x − 1 = 0$$ is required to be solved using Newton’s method with an initial guess of $$x_0 = −1$$. Then after one step of Newton’s method, the estimate $$x_1$$ of the solution will be

Laplace transform of $$f(t) = t^2 \sin t$$ is

The residue of a complex function $$x(z) = \frac{1 - 2z}{z(z - 1)(z - 2)}$$ at its poles are

The solution of the differential equation $$\frac{dy}{dx} + y^2 = 0$$ is

A box contains 10 screws, 3 of which are defective. Two screws are drawn at random with replacement. The probability that none of the two screws will be defective is:

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