GATE CE 2023 Set 1 | GATE CE Year Wise Previous Years Questions

GATE CE 2023 Set 1

Numerical

-0

The probabilities of occurrences of two independent events A and B are 0.5 and 0.8, respectively. What is the probability of occurrence of at least A or B (rounded off to one decimal place)? ________

Your input ____

GATE CE 2023 Set 1

Numerical

-0

In the differential equation $\frac{dy}{dx}+\alpha\ x\ y =0, \alpha$ is a positive constant. If y = 1.0 at x = 0.0, and y = 0.8 at x = 1.0, the value of α is ________ (rounded off to three decimal places).

Your input ____

GATE CE 2023 Set 1

MCQ (Single Correct Answer)

-0.66

A function f(x), that is smooth and convex-shaped between interval (x_l , s_u) is shown in the figure. This function is observed at odd number of regularly spaced points. If the area under the function is computed numerically, then .

GATE CE 2023 Set 1 Engineering Mathematics - Numerical Methods Question 1 English

the numerical value of the area obtained using the trapezoidal rule will be less than the actual

the numerical value of the area obtained using the trapezoidal rule will be more than the actual

the numerical value of the area obtained using the trapezoidal rule will be exactly equal to the actual

with the given details, the numerical value of area cannot be obtained using trapezoidal rule

GATE CE 2023 Set 1

MCQ (More than One Correct Answer)

-0

For the matrix

$[A]= \begin{bmatrix}1&2&3\\\ 3&2&1\\\ 3&1&2 \end{bmatrix} $

which of the following statements is/are TRUE?

The eigenvalues of [A]T are same as the eigenvalues of [A]

The eigenvalues of [A]-1 are the reciprocals of the eigenvalues of [A]

The eigenvectors of [A]T are same as the eigenvectors of [A]

The eigenvectors of [A]-1 are same as the eigenvectors of [A]

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Construction Material and Management

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Fluid Mechanics and Hydraulic Machines

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Reinforced Cement Concrete

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2024