1

GATE PI 2016

MCQ (Single Correct Answer)

+1

-0.3

For the two functions

$$f\left( {x,y} \right) = {x^3} - 3x{y^2}\,\,$$ and $$\,\,g\left( {x,y} \right) = 3{x^2}y - {y^3}\,\,$$

$$f\left( {x,y} \right) = {x^3} - 3x{y^2}\,\,$$ and $$\,\,g\left( {x,y} \right) = 3{x^2}y - {y^3}\,\,$$

Which one of the following options is correct?

2

GATE PI 2016

Numerical

+2

-0

$$\mathop {\lim }\limits_{x \to 0} \left( {{{{e^{5x}} - 1} \over x}} \right)$$ is equal to ________.

Your input ____

3

GATE PI 2016

MCQ (Single Correct Answer)

+2

-0.6

A normal random variable $$X$$ has the following probability density function
$$${f_x}\left( x \right) = {1 \over {\sqrt {8\pi } }}e{}^{ - \left\{ {{{{{\left( {x - 1} \right)}^2}} \over 8}} \right\}}, - \infty < x < \infty $$$

Then $$\,\int\limits_1^\infty {{f_x}\left( x \right)dx = } $$

Then $$\,\int\limits_1^\infty {{f_x}\left( x \right)dx = } $$

4

GATE PI 2016

MCQ (Single Correct Answer)

+1

-0.3

A fair coin is tossed $$N$$ times. The probability that head does not turn up in any of the tosses is

Paper analysis

Total Questions

Casting

1

Engineering Mathematics

10

Engineering Mechanics

1

Fluid Mechanics

3

Heat Transfer

1

Industrial Engineering

2

Joining of Materials

2

Machine Design

1

Machine Tools and Machining

5

Metal Forming

3

Metrology

2

Strength of Materials

5

Theory of Machines

1

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