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1
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
A car travels 8 km in the first quarter of an hour, 6 km in the second quarter and 16 km in the third quarter. The average speed of the car in km per hour over the entire journey is
A
30
B
36
C
40
D
24
2
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
$${{9\left( {{9^n} - 1} \right)} \over 8} + {n^2}$$
3
GATE ECE 2013
MCQ (Single Correct Answer)
+2
-0.6
The set of values of p for which the roots of the equation 3x2 + 2x + p(p - 1) = 0 are of opposite sign is
A
$$\left( { - \infty ,0} \right)$$
B
$$\left( {0,1} \right)$$
C
$$\left( {1,\infty } \right)$$
D
$$\left( {0,\infty } \right)$$
4
GATE ECE 2012
MCQ (Single Correct Answer)
+2
-0.6
A and B are friends. They decide to meet between 1 PM and 2 PM on a given day. There is a condition that whoever arrives first will not wait for the other for more than 15 minutes. The probability that they will meet on that day is
A
1/4
B
1/16
C
7/16
D
9/16
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GATE ECE Subjects

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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
Engineering Mathematics
Probability and Statistics Linear Algebra Complex Variable Transform Theory Vector Calculus Differential Equations Calculus Numerical Methods
Analog Circuits
Frequency Response Operational Amplifier Power Amplifier Diodes Oscillators Feedback Amplifier 555 Timer Bipolar Junction Transistor FET and MOSFET
Network Theory
Network Elements State Equations For Networks Network Graphs Miscellaneous Sinusoidal Steady State Response Network Theorems Two Port Networks Transient Response
Electromagnetics
Maxwell Equations Transmission Lines Uniform Plane Waves Antennas Waveguides Miscellaneous
Electronic Devices and VLSI
IC Basics and MOSFET PN Junction BJT and FET Semiconductor Physics
Digital Circuits
Sequential Circuits Number System and Code Convertions Logic Gates Combinational Circuits Semiconductor Memories Logic Families Analog to Digital and Digital to Analog Converters Boolean Algebra
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Pin Details of 8085 and Interfacing with 8085 Instruction Set and Programming with 8085
Signals and Systems
Discrete Fourier Transform and Fast Fourier Transform Discrete Time Signal Fourier Series Fourier Transform Continuous Time Signal Laplace Transform Fourier Transform Representation of Continuous Time Signal Fourier Series Transmission of Signal Through Continuous Time LTI Systems Miscellaneous Sampling Continuous Time Linear Invariant System Discrete Time Linear Time Invariant Systems Discrete Time Signal Z Transform Transmission of Signal Through Discrete Time Lti Systems
Communications
Fundamentals of Information Theory Noise In Digital Communication Digital Communication Systems Random Signals and Noise Analog Communication Systems
General Aptitude
Verbal Ability Logical Reasoning Numerical Ability
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