1

GATE ECE 2014 Set 3

Numerical

+2

-0

A fair coin is tossed repeatedly till both head and tail appear at least once. The average number of tosses required is ________.

Your input ____

2

GATE ECE 2014 Set 3

Numerical

+2

-0

Let $${X_1},{X_{2,}}$$ and $${X_{3,}}$$ be independent and identically distributed random variables with the uniform distribution on $$\left[ {0,1} \right].$$ The probability $$P\left\{ {{X_1} + {X_2} \le {X_3}} \right\}$$ is _______.

Your input ____

3

GATE ECE 2014 Set 3

MCQ (Single Correct Answer)

+2

-0.6

Which ONE of the following is a linear non - homogeneous differential equation , where $$x$$ and $$y$$ are the independent and dependent variables respectively?

4

GATE ECE 2014 Set 3

MCQ (Single Correct Answer)

+2

-0.6

Match the application to appropriate numerical method

**Applications**

$$P1:$$ Numerical integration

$$P2:$$ Solution to a transcendental equation

$$P3:$$ Solution to a system of linear equations

$$P4:$$ Solution to a differential equation

**Numerical Method**

$$M1:$$ Newton-Raphson Method

$$M2:$$ Runge-Kutta Method

$$M3:$$ Simpson's $$1/3-$$rule

$$M4:$$ Gauss Elimination Method

Paper analysis

Total Questions

Analog Circuits

5

Communications

6

Control Systems

5

Digital Circuits

5

Electromagnetics

5

Electronic Devices and VLSI

6

Engineering Mathematics

9

Network Theory

6

Signals and Systems

8

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