Mining Engineering
GATE MN area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 51–60 of 89. Imported answers require independent review unless marked reviewed.
Question 49
Open questionMNNAT2 marksNeeds review
A random variable
is defined by
The value of
is ______. [round off to one decimal place]Log in to check the answer
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Open questionGAMCQ2 marksNeeds review
For a matrix
,
, the diagonal elements are all zero and
. The minimum number of elements required to fully specify the matrix is _____.Your answerChoose one option.
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Open questionMNMCQ1 markNeeds review
The eigenvalues of the matrix
areYour answerChoose one option.
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Open questionMNNAT1 markNeeds review
For
in the range of [-3, 3], the maximum value for the function
is __________ (round off to 1 decimal place).Log in to check the answer
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Open questionMNNAT1 markNeeds review
A random variable
has the following probability mass function. | 3 | 6 | 8 | 12 |
|---|---|---|---|---|
| 1/2 | 1/4 | 1/8 | 1/8 |
The expected value of the variable
is __________ (round off to 1 decimal place).Log in to check the answer
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Open questionMNNAT1 markNeeds review
A random sample has five observations as shown below.
| 11 | 14 | 15 | 13 | 12 |
The coefficient of variation of the sample is __________ (round off to 3 decimal places).
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Open questionMNMCQ2 marksNeeds review
For
, the value of
isYour answerChoose one option.
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Open questionMNMCQ2 marksNeeds review
For the differential equation
, assuming the constant of integration to be
, the general solution isYour answerChoose one option.
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Open questionMNNAT2 marksNeeds review
The function values at four points of
are shown in the table. The area under the function, using trapezoidal method, is ________ (round off to 1 decimal place). | 2 | 4 | 8 | 9 |
|---|---|---|---|---|
| 8 | 12 | 9 | 10 |
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Open questionMNNAT2 marksNeeds review
A particle starting from rest moves in a straight line such that after time
(seconds), the acceleration becomes
cm/s
. When the acceleration becomes zero, the velocity of the particle in cm/s is ________ (round off to 1 decimal place).Log in to check the answer
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