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1
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
Find the sum to n terms of the series 10 + 84 + 734 +.........
A
$${{9\left( {{9^n} + 1} \right)} \over {10}} + 1$$
B
$${{9\left( {{9^n} - 1} \right)} \over 8} + 1$$
C
$${{9\left( {{9^n} - 1} \right)} \over 8} + n$$
D
$${{9\left( {{9^n} - 1} \right)} \over 8} + {n^2}$$
2
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
What is the chance that a leap year, selected at random, will contain 53 Sundays?
A
2/7
B
3/7
C
1/7
D
5/7
3
GATE ECE 2012
MCQ (Single Correct Answer)
+2
-0.6

One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the battlefield kept units obedient, intact and fighting, even when the odds and conditions were against them.

Which one of the following statements best sums up the meaning of the above passage?
A
Thorough regimentation was the main reason for the efficiency of the Roman legions even in adverse circumstances.
B
The legions were treated inhumanly as if the men were animals.
C
Discipline was the armies’ inheritance from their seniors.
D
The harsh discipline to which the legions were subjected to led to the odds and conditions being against them.
4
GATE ECE 2012
MCQ (Single Correct Answer)
+2
-0.6
There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balance, the minimum number of weighings required to identify the heavier bag is
A
2
B
3
C
4
D
8
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GATE ECE Subjects
Network Theory
State Equations For Networks Network Elements Network Theorems Two Port Networks Transient Response Sinusoidal Steady State Response Network Graphs Miscellaneous
Control Systems
Basic of Control Systems Signal Flow Graph and Block Diagram Time Response Analysis Stability Root Locus Diagram Frequency Response Analysis Compensators State Space Analysis
Electronic Devices and VLSI
Semiconductor Physics PN Junction BJT and FET IC Basics and MOSFET
Analog Circuits
Bipolar Junction Transistor FET and MOSFET Oscillators Operational Amplifier 555 Timer Frequency Response Diodes Feedback Amplifier Power Amplifier
Digital Circuits
Number System and Code Convertions Boolean Algebra Logic Gates Combinational Circuits Sequential Circuits Semiconductor Memories Logic Families Analog to Digital and Digital to Analog Converters
Microprocessors
Pin Details of 8085 and Interfacing with 8085 Instruction Set and Programming with 8085
Signals and Systems
Representation of Continuous Time Signal Fourier Series Discrete Time Signal Fourier Series Fourier Transform Discrete Time Signal Z Transform Continuous Time Linear Invariant System Transmission of Signal Through Continuous Time LTI Systems Discrete Time Linear Time Invariant Systems Sampling Continuous Time Signal Laplace Transform Discrete Fourier Transform and Fast Fourier Transform Transmission of Signal Through Discrete Time Lti Systems Miscellaneous Fourier Transform
Communications
Fundamentals of Information Theory Noise In Digital Communication Analog Communication Systems Digital Communication Systems Random Signals and Noise
Electromagnetics
Maxwell Equations Transmission Lines Uniform Plane Waves Waveguides Antennas Miscellaneous
General Aptitude
Numerical Ability Logical Reasoning Verbal Ability
Engineering Mathematics
Linear Algebra Calculus Vector Calculus Complex Variable Probability and Statistics Differential Equations Numerical Methods Transform Theory
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