Mining Engineering
GATE MN area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
How to practice area:engineering-mathematics
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–10 of 89. Imported answers require independent review unless marked reviewed.
Question 11
Open questionMNMCQ1 markNeeds review
If
is an identity matrix, the polynomial equation that satisfies the Cayley-Hamilton theorem for the matrix
isYour answerChoose one option.
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Open questionMNMCQ1 markNeeds review
Let
and
are the unit vectors in the x and y direction, respectively. The divergence
of
at the point
isYour answerChoose one option.
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Open questionMNMCQ1 markNeeds review
Which one of the following is a non-linear, second-order, and first-degree differential equation?
Your answerChoose one option.
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Open questionMNMCQ1 markNeeds review
Match the distribution with its corresponding probability density/mass function.
Distribution type | Probability density/mass function |
|---|---|
(P) Binomial Distribution | (1) |
(Q) Poisson Distribution | (2) |
(R) Normal distribution | (3) |
(S) Exponential Distribution | (4) |
Your answerChoose one option.
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Open questionMNMSQ1 markNeeds review
Which of the following statements about Fourier series is/are correct?
Your answerSelect all correct options. You can choose more than one.
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Open questionMNMCQ2 marksNeeds review
The value of the determinant of the Hessian of
at its stationary point isYour answerChoose one option.
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Open questionMNMCQ2 marksNeeds review
Given the data in the following Table, Newton’s divided difference interpolation polynomial is
If the values of
and
are 3 and 1, respectively, then the value of
isx | 2.0 | 2.5 | 3.0 |
|---|---|---|---|
y | 3.0 | 3.5 | 5.0 |
Your answerChoose one option.
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Open questionMNMCQ2 marksNeeds review
Given
,
,
and
If
with
and
, the value of
isYour answerChoose one option.
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Open questionMNNAT2 marksNeeds review
Using linear regression (least squares), the best-fit line for the given dataset is y = 2.2x + 2.3. Given the residual sum of squares is 25.8, the coefficient of determination (
), is _____________. (rounded off to two decimal places)x | 2 | 3 | 4 | 5 |
|---|---|---|---|---|
y | 8 | 9 | 7 | 16 |
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Open questionMNMCQ1 markNeeds review
If
, then
isYour answerChoose one option.
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