Biotechnology
GATE BT area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 21–30 of 88. Imported answers require independent review unless marked reviewed.
Question 28
Open questionBTMCQ1 markNeeds review
A value of
for which the linear equations
and
have a non-zero solution is ________.Your answerChoose one option.
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Open questionBTMCQ1 markNeeds review
The value of the series
at
is ________.Your answerChoose one option.
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Open questionBTMCQ1 markNeeds review
The solution of the differential equation
that satisfies
is ________.Your answerChoose one option.
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Open questionBTMCQ1 markNeeds review
The six faces of a cube (die) are numbered as 1, 2, 3, 4, 5 and 6, and it is rolled once. An outcome is the observed number on the top face. If the probability of getting an odd number as an outcome is twice that of an even number, then the probability of getting a number less than 3 is ________.
Your answerChoose one option.
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Open questionBTMCQ1 markNeeds review
Let
be the vector that is perpendicular to the vectors
and
. If the length of the vector
is
, then
is ________.Your answerChoose one option.
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Open questionBTNAT2 marksNeeds review
If
is an eigenvector of the matrix
corresponding to the non-zero eigenvalue,
, then the value of
is ______.Log in to check the answer
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Open questionBTNAT2 marksNeeds review
The value of the limit
is ______.Log in to check the answer
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Open questionBTNAT2 marksNeeds review
Let
for
, be a solution of
. Then the value of
is ______.Log in to check the answer
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Open questionBTNAT2 marksNeeds review
The absolute relative error in evaluating the integral
by the trapezoidal rule with the step size 0.25 is ______ % (rounded off to 2 decimal places).Log in to check the answer
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Open questionGAMCQ2 marksNeeds review
The coefficient of
in the polynomial
is equal to ______.Your answerChoose one option.
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