Question 4035 - GATE Electrical Engineering

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Q#1 Probability and Statistics GATE EE 2009 MCQ +2 marks -0.66 marks

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Assume for simplicity that N people, all born in April (a month of 30 days), are collected in a room. Consider the event of at least two people in the room being born on the same date of the month, even if in different years. e.g. 1980 and 1985. What is the smallest N so that the probability of this event exceeds 0.5 ?

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Network Analysis

259

Network Basics

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Network Elements	0	Browse
Kirchhoffs Laws	1	Browse
Nodal and Mesh Analysis	1	Browse
Power and Energy Calculation	1	Browse
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Network Theorems (DC Circuits)

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Transient Analysis

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Initial and Final Conditions	0	Browse
First Order Circuits	0	Browse
Second Order Circuits	0	Browse
Laplace Transform Method	0	Browse
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Sinusoidal Steady State Analysis

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Phasor Analysis	0	Browse
Maximum Power Transfer Theorem - AC Circuits	0	Browse
Other Theorems - AC Circuits	0	Browse
Power in AC Circuits	0	Browse
Miscellaneous	0	Browse
Resonance	0	Browse
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Two Port Network

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Graph Theory

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Three Phase Circuits

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Magnetically Coupled Circuits

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Signals and Systems

164

Signals

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Delta Function	0	Browse
Periodic and other Signals	0	Browse
Signal Graphical Representation	0	Browse
Energy and Power Signals	0	Browse
Waveform Synthesis and Parameters	0	Browse
Topic-wide	26	Browse

LTI Systems

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LTI System Properties	0	Browse
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Discrete Convolution	0	Browse
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Fourier Series

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Continuous Time Fourier Series	0	Browse
Properties of Fourier Series	0	Browse
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Fourier Transform

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Continuous Time Fourier Transform Calculation	0	Browse
Continuous Time Transform Properties	0	Browse
Discrete Time Fourier Transform Calculation	0	Browse
Discrete Time Fourier Transform Properties	0	Browse
Discrete Fourier Transform and Fast Fourier Transform	0	Browse
Topic-wide	28	Browse

Laplace Transform

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Laplace Transform Calculation	0	Browse
Laplace Transform Properties	0	Browse
Initial and Final Value Theorem	0	Browse
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Z Transform

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Z-Transform Calculation	0	Browse
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Initial and Final Value Theorem - Z Transform	0	Browse
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Sampling

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Digital Filter Design

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Control Systems

201

Transfer Function

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Transfer Function	0	Browse
Block Diagram	0	Browse
Signal Flow Graph	0	Browse
Mathematical Modelling and Sensitivity	0	Browse
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Time Response Analysis

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Steady State Analysis	0	Browse
Transient Analysis	0	Browse
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Stability

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Root Locus Technique

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Frequency Domain Analysis

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Frequency Response	0	Browse
Polar Plot	0	Browse
Nyquist Plot and Stability Criterion	0	Browse
Gain Margin and Phase Margin	0	Browse
Bode Plot	0	Browse
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State Variable Analysis

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State Model Analysis	0	Browse
Controllability and Observability	0	Browse
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Control System Design

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Compensators	0	Browse
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Analog Electronics

180

Diode and Its Applications

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Diode Basics and Diode Circuit Analysis	0	Browse
Rectifier Circuits	0	Browse
Filter Circuits	0	Browse
Voltage Regulator	0	Browse
Wave Shaping Circuits	0	Browse
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BJT

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Low frequency and High frequency response of BJT Amplifier	0	Browse
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JFET

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DC Analysis and Biasing Circuits of JFET	0	0	0	Browse
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Single stage JFET Amplifier	0	0	0	Browse
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MOSFET

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DC Analysis and Biasing Circuits of MOSFET	0	Browse
Small signal analysis of MOSFET	0	Browse
Single stage MOSFET Amplifier	0	Browse
Low frequency and High frequency response of MOSFET Amplifier	0	Browse
Topic-wide	16	Browse

Amplifiers

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Differential Amplifiers	0	Browse
Feedback Amplifiers	0	Browse
Power Amplifiers	0	Browse
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OP-AMP and its Applications

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Positive feedback applications	0	Browse
Negative feedback applications	0	Browse
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Oscillators

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Digital Electronics

148

Number Systems

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Boolean Algebra

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Boolean Algebra	0	Browse
Logic Gates	0	Browse
K-Map	0	Browse
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Combinational Circuits

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Multiplexer and Demultiplexer	0	Browse
Encoders and Decoders	0	Browse
Adders and Subtractors	0	Browse
Other Circuits	0	Browse
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Sequential Circuits

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Flip Flops	0	Browse
Counters	0	Browse
Registers	0	Browse
State Machine	0	Browse
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Data Converters

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ADC	0	Browse
DAC	0	Browse
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Logic Family

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Memory

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Microprocessor

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Computer Organisation

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Electrical Machines

390

Transformers

109

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Construction of Transformer	0	Browse
Induced EMF - Transformer	0	Browse
Equivalent Circuit - Transformer	0	Browse
Testing of a Transformer	0	Browse
Losses and Efficiency - Transformer	0	Browse
Voltage Regulation - Transformer	0	Browse
Three Phase Transformer	0	Browse
Auto Transformer	0	Browse
Parallel Operation - Transformer	0	Browse
Harmonics in Transformer	0	Browse
Topic-wide	109	Browse

DC Machines

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Construction of DC Machines	0	Browse
EMF and Torque Equation	0	Browse
Equivalent Circuit - DC Machines	0	Browse
Losses and Efficiency - DC Machines	0	Browse
Speed Control of DC Motor	0	Browse
Starting, Braking and Testing of DC Motor	0	Browse
Characteristics of DC machines	0	Browse
Electromechanical Energy Conversion	0	Browse
Topic-wide	80	Browse

Synchronous Machines

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Induced EMF - Synchronous Machines	0	Browse
Voltage Regulation Methods	0	Browse
Equivalent Circuit - Synchronous Machines	0	Browse
Synchronous Impedance	0	Browse
Power Angle Equation	0	Browse
Parallel Operation - Synchronous Machines	0	Browse
Losses and Efficiency - Synchronous Machines	0	Browse
Voltage Regulation - Synchronous Machines	0	Browse
Droop Characteristics	0	Browse
Salient Pole Machines	0	Browse
Synchronous Motor	0	Browse
Cascading of Machines	0	Browse
Contruction and Physical Phenomenon	0	Browse
Topic-wide	82	Browse

Induction Machines

110

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Construction and Rotating Magnetic Field	0	Browse
Equivalent Circuit - Induction Machines	0	Browse
Torque Slip Characteristics	0	Browse
Power and Efficiency	0	Browse
Tests on an Induction Motor	0	Browse
Starting of Induction Motor	0	Browse
Speed Control	0	Browse
Stability of Induction Motor	0	Browse
Singe Phase Induction Motor	0	Browse
Stepper Motor	0	Browse
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Special Machines

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Power Electronics

237

Power Semiconductor Devices

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Switch Characteristics	0	Browse
Triggering and Characteristics of SCR	0	Browse
Protection and Connection of SCR	0	Browse
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Phase Controlled Converter

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Single Phase Converter	0	Browse
Three Phase Converter	0	Browse
Effect of Source Inductance	0	Browse
Dual Converter	0	Browse
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Chopper

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Buck Converter	0	Browse
Boost Converter	0	Browse
Buck Boost Converter	0	Browse
Thyristor Commutation Techniques	0	Browse
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Inverter

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Single Phase Inverter	0	Browse
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Current Source Inverter	0	Browse
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AC and DC Drives

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AC Voltage Controller

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Power Systems

343

Power System Generation

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Power Plants	0	Browse
Economic Power Generation	0	Browse
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Transmission and Distribution

139

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Transmission Line Parameters (L and C)	0	Browse
Short and Medium Transmission Line	0	Browse
Wave Nature of Long Transmission Line	0	Browse
Surges in Transmission Line	0	Browse
Power and ABCD Parameters	0	Browse
Voltage and Frequency Control	0	Browse
Power Factor Correction	0	Browse
UG Cables	0	Browse
Overhead Insulators	0	Browse
Corona	0	Browse
Distribution Systems	0	Browse
HVDC	0	Browse
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Economic Load Dispatch

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Fault Analysis

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Per Unit System	0	Browse
Symmetrical Components	0	Browse
Sequence Network	0	Browse
Symmetrical Fault Analysis	0	Browse
Unsymmetrical Fault Analysis	0	Browse
Zbus Based Fault Analysis	0	Browse
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Power System Stability

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Swing Equation	0	Browse
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Equal Area Criteria	0	Browse
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Load Flow Analysis

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Power System Matrices	0	Browse
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Power System Protection

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Circuit Breakers	0	Browse
Overcurrent Protection	0	Browse
Protection of Alternator	0	Browse
Protection of Transformer	0	Browse
Protection of Transmission Line	0	Browse
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EMFT EE

Electrostatics

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Magnetostatics

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Measurement

152

Error Analysis

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Error Analysis	0	Browse
Units and Dimensions	0	Browse
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Electro-mechanical Instruments

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PMMC Instruments	0	Browse
Moving Iron Instruments	0	Browse
Electrodynamometer Instruments	0	Browse
Ammeter and Voltmeter	0	Browse
Wattmeter	0	Browse
Energy Meter	0	Browse
Other Instruments	0	Browse
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Measurement of R,L and C

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Measurement of Inductance	0	Browse
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Measurement of Resistance	0	Browse
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CRO

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Instrument Transformer

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Potentiometer and Q-Meter

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Digital Instruments

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Transducers

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Measurement of Temperature	0	Browse
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Engineering Mathematics

225

Linear Algebra

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Calculus

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Sub-topic	Questions
Differential Calculus	0	Browse
Integral Calculus	0	Browse
Vector Calculus	0	Browse
Topic-wide	63	Browse

Differential Equations

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First Order Differential Equations	0	Browse
Higher Order Differential Equations	0	Browse
Topic-wide	18	Browse

Complex Functions

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Analytic Functions (Cauchy Riemann Equations) and compex numbers	0	Browse
Complex Integral	0	Browse
Topic-wide	23	Browse

Probability and Statistics

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Probability	0	Browse
Statistics	0	Browse
Random Variable	0	Browse
Topic-wide	32	Browse

Numerical Methods

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Solution of Non-Linear Equation	0	Browse
Numerical Integration	0	Browse
Numerical Solution of Differential Equations	0	Browse
Topic-wide	15	Browse

Transform Theory

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Laplace Transform	0	Browse
Fourier Transform	0	Browse
Z-Transform	0	Browse
Topic-wide	6	Browse

General Aptitude

206

Numerical Ability

116

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Analytical Reasoning	0	Browse
Logical Reasoning	0	Browse
Progressions	0	Browse
Numbers	0	Browse
Clocks and Time Sequence	0	Browse
LCM and HCF, Factors and Remainders	0	Browse
Simple and Compound Interest	0	Browse
Venn Diagrams	0	Browse
Direction Sense	0	Browse
Arithmetic Reasoning	0	Browse
Insert Missing Character	0	Browse
Ratio and Proportion	0	Browse
Percentage, Profit, Loss and Partnerships	0	Browse
Stocks and Shares	0	Browse
Average, Mixtures and Allegations	0	Browse
Geometry and Mensuration	0	Browse
Ages	0	Browse
Time and Work	0	Browse
Pipes and Cisterns	0	Browse
Time and Distance	0	Browse
Data Interpretation	0	Browse
Analytical Figures	0	Browse
Blood Relations	0	Browse
Coding and Decoding	0	Browse
Cube and Dice	0	Browse
Ranking	0	Browse
Speed and Relative Speed	0	Browse
Logarithms	0	Browse
Involution and Evolution	0	Browse
Probability	0	Browse
Permutation and Combinations	0	Browse
Quadratic Equations	0	Browse
Miscellaneous - Numerical Ability	0	Browse
Topic-wide	116	Browse

Verbal Ability

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Grammar	0	Browse
Spotting Errors	0	Browse
Objective Comprehension	0	Browse
Sentence Completion	0	Browse
Sentence Improvement	0	Browse
Analogy	0	Browse
Ordering of Sentences	0	Browse
Vocabulary	0	Browse
Critical Reasoning	0	Browse
Miscellaneous - Verbal Ability	0	Browse
Topic-wide	90	Browse