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