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Engineering Mathematics
Linear Algebra
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Differential Equations
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1
GATE ECE 2011
MCQ (Single Correct Answer)
+1
-0.3
A fair dice is tossed two times. The probability that the $$2$$nd toss results in a value that is higher than the first toss is
A
$${2 \over {36}}$$
B
$${2 \over {6}}$$
C
$${5 \over {12}}$$
D
$${1 \over {2}}$$
2
GATE ECE 2009
MCQ (Single Correct Answer)
+1
-0.3
A fair coin is tossed $$10$$ times. What is the probability that only the first two tosses will yield heads?
A
$${\left( {{1 \over 2}} \right)^2}$$
B
$$10{c_2}\,{\left( {{1 \over 2}} \right)^2}$$
C
$${\left( {{1 \over 2}} \right)^{10}}$$
D
$$\,10{c_2}\,{\left( {{1 \over 2}} \right)^{10}}$$
3
GATE ECE 2007
MCQ (Single Correct Answer)
+1
-0.3
If $$E$$ denotes expectation, the variance of a random variable $$X$$ is given by
A
$$E\left( {{X^2}} \right) - {E^2}\left( X \right)$$
B
$$E\left( {{X^2}} \right) + {E^2}\left( X \right)$$
C
$$E\left( {{X^2}} \right)$$
D
$${E^2}\left( X \right)$$
4
GATE ECE 2005
MCQ (Single Correct Answer)
+1
-0.3
A fair dice is rolled twice. The probability that an odd number will follow an even number is
A
$${1 \over 2}$$
B
$${1 \over 6}$$
C
$${1 \over 3}$$
D
$${1 \over 4}$$
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Questions Asked from Marks 1
GATE ECE 2025 (1) GATE ECE 2024 (1) GATE ECE 2022 (1) GATE ECE 2018 (1) GATE ECE 2017 Set 1 (1) GATE ECE 2017 Set 2 (1) GATE ECE 2016 Set 1 (1) GATE ECE 2015 Set 2 (2) GATE ECE 2015 Set 1 (1) GATE ECE 2015 Set 3 (1) GATE ECE 2014 Set 4 (2) GATE ECE 2014 Set 3 (1) GATE ECE 2014 Set 1 (2) GATE ECE 2012 (1) GATE ECE 2011 (1) GATE ECE 2009 (1) GATE ECE 2007 (1) GATE ECE 2005 (1)
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics