Engineering Sciences
GATE XE area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 71–80 of 102. Imported answers require independent review unless marked reviewed.
Question 11
Open questionXE-ANAT2 marksNeeds review
Players
and
take turns to throw a fair dice with six faces. If
is the first player to throw, then the probability of
being the first one to get a six is ____ (round off to two decimal places).Log in to check the answer
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Open questionXE-AMCQ1 markNeeds review
Let
be the Poisson random variable with parameter
. Then, the probability
equalsYour answerChoose one option.
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Open questionXE-AMCQ1 markNeeds review
For the series
,
, which of the following statements is NOT correct?Your answerChoose one option.
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Open questionXE-AMCQ1 markNeeds review
Let
, where
is the complex conjugate of
. Then it is differentiable onYour answerChoose one option.
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Open questionXE-AMCQ1 markNeeds review
If the transformation
reduces the partial differential equation
to the equation
, then
equalsYour answerChoose one option.
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Open questionXE-ANAT1 markNeeds review
The value of
for which the system of equations
has a solution is ________ .
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Open questionXE-ANAT1 markNeeds review
The value of the line integral
, where
is the circle
oriented counter clockwise, is ________ .Log in to check the answer
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Open questionXE-AMCQ2 marksNeeds review
If
and
is the matrix where
and
are linearly independent eigenvectors of the matrix
, then the sum of the absolute values of all the elements of the matrix
isYour answerChoose one option.
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Open questionXE-AMCQ2 marksNeeds review
If
is the polynomial obtained by Lagrange interpolation satisfying
,
,
and
, then the value of
isYour answerChoose one option.
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Open questionXE-ANAT2 marksNeeds review
The number of critical points of the function
at which there is neither maximum nor minimum is ________ .Log in to check the answer
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