Metallurgical Engineering
GATE MT area:engineering-mathematics PYQs
Build your understanding with focused practice from past exam papers.
Questions 41–50 of 87. Imported answers require independent review unless marked reviewed.
Question 37
Open questionMTMCQ2 marksNeeds review
Which one of the following equations will fail to converge to a root with an initial guess value of
, using the Newton-Raphson method?Your answerChoose one option.
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For a
matrix, the value of the determinant is −48 and the trace is 8. If one of the eigenvalues is 4, the other two are ________Your answerChoose one option.
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Open questionMTNAT2 marksNeeds review
The integral of the function
estimated by the trapezoid rule with a single segment from
to
is __________ (round off to 1 decimal place).Log in to check the answer
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Open questionMTNAT2 marksNeeds review
A set of 11 (x, y) data points is least-squares fitted to a quadratic polynomial. If the sum of squares of error is 2.4, the variance of error is ________ (round off to 1 decimal place).
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Open questionGAMCQ2 marksNeeds review
A box contains 15 blue balls and 45 black balls. If 2 balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black 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 1
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For the matrix given below, the eigenvalues are:
Your answerChoose one option.
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Which one of the following is a homogeneous function of degree three?
Your answerChoose one option.
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The divergence of a vector field
, where its three components
are functions of
, is:Your answerChoose one option.
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The value of
is: __________ (round off to nearest integer).Log in to check the answer
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The grain size (X) of annealed specimens follows a symmetric distribution with a mean (μ) of 5 μm and a standard deviation (σ) of 0.5 μm. The percentage of specimens with grain size in the range 5 to 6 μm is expected to be: __________ (round off to nearest integer).
Given: For the symmetric distribution: Probability P(X ≤ μ + 2σ) = 0.98
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