Chemical Engineering
GATE CH area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 93. Imported answers require independent review unless marked reviewed.
Question 13
Open questionCHMCQ1 markNeeds review
Consider two complex numbers
and
. The argument of
isYour answerChoose one option.
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Open questionCHMCQ1 markNeeds review
A box contains 3 identical green balls and 7 identical blue balls. Two balls are randomly drawn without replacement from the box. The probability of drawing 1 green and 1 blue ball is
Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 36
Open questionCHMCQ2 marksNeeds review
Consider a Cartesian coordinate system with orthogonal unit basis vectors
defined over a domain:
. Choose the condition for which the divergence of the vector field
is zero.Your answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 37
Open questionCHMCQ2 marksNeeds review
A probability distribution function is given as
where
is a positive constant. For a function
, the expectation of
isYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 44
Open questionCHMSQ2 marksNeeds review
Consider the differential equation
Choose the CORRECT option(s) for the solution
.Your answerSelect all correct options. You can choose more than one.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 45
Open questionCHNAT2 marksNeeds review
Consider the matrix
The eigenvalues of the matrix are 0.27 and ____ (rounded off to 2 decimal places).Log in to check the answer
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Open questionCHNAT2 marksNeeds review
The Newton-Raphson method is used to find the root of
Starting with an initial guess
, the second iterate
is ____ (rounded off to 2 decimal places).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 11
Open questionCHMCQ1 markNeeds review
The first non-zero term in the Taylor series expansion of
about
isYour answerChoose one option.
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Open questionCHMCQ1 markNeeds review
Consider the normal probability distribution function
If
and
are the mean and standard deviation of
respectively, then the ordered pair
isYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 13
Open questionCHMCQ1 markNeeds review
If
and
, where
, then
isYour answerChoose one option.
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