Mechanical Engineering
GATE ME area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 101–110 of 148. Imported answers require independent review unless marked reviewed.
Question 4
Open questionMEMCQ1 markNeeds review
An analytic function
of complex variable
may be written as
. Then,
and
must satisfyYour answerChoose one option.
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Evaluation of
using a 2-equal-segment trapezoidal rule gives a value of ________Log in to check the answer
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If
is the mean of data 3,
, 2 and 4, then the mode is ______Log in to check the answer
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Open questionMEMCQ2 marksNeeds review
The set of equations
has infinite solutions, if
Your answerChoose one option.
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Open questionMEMCQ2 marksNeeds review
Given a vector
and
as the unit normal vector to the surface of the hemisphere
, the value of integral
evaluated on the curved surface of the hemisphere
isYour answerChoose one option.
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Open questionMEMCQ2 marksNeeds review
A harmonic function is analytic if it satisfies the Laplace equation. If
is a harmonic function, then its conjugate harmonic function
isYour answerChoose one option.
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Open questionMEMCQ2 marksNeeds review
A differential equation is given as
. The solution of the differential equation in terms of arbitrary constants
and
isYour answerChoose one option.
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The variable
takes a value between 0 and 10 with uniform probability distribution. The variable
takes a value between 10 and 20 with uniform probability distribution. The probability of the sum of variables
being greater than 20 isYour answerChoose one option.
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Open questionMEMCQ2 marksNeeds review
The derivative of
can be estimated using the approximation
. The percentage error is calculated as
. The percentage error in the derivative of
at
radian, choosing
radian, isYour answerChoose one option.
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Open questionMENAT2 marksNeeds review
The probability that a part manufactured by a company will be defective is 0.05. If 15 such parts are selected randomly and inspected, then the probability that at least two parts will be defective is ______ (round off to two decimal places).
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