GATE CE kind:question PYQs & Answers — Page 123

Questions 1221–1230 of 1300. Imported answers require independent review unless marked reviewed.

For the function

, to be a valid probability density function, which one of the following statements is correct?

Your answerChoose one option.

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The tangent to the curve represented by

is required to have 45° inclination with the

-axis. The coordinates of the tangent point would be

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The solution of the equation

with

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Consider the following definite integral:

The value of the integral is

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Consider the matrix

. Which one of the following statements is TRUE for the eigenvalues and eigenvectors of this matrix?

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Eigenvalue 3 has a multiplicity of 2, and only one independent eigenvector exists.

Eigenvalue 3 has a multiplicity of 2, and two independent eigenvectors exist.

Eigenvalue 3 has a multiplicity of 2, and no independent eigenvector exists.

Eigenvalues are 3 and -3, and two independent eigenvectors exist.

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and

is equal to

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A planar truss tower structure is shown in the figure.

Diagram for Civil Engineering question 29

Consider the following statements about the external and internal determinacies of the truss.

(P) Externally Determinate (Q) External Static Indeterminacy = 1 (R) External Static Indeterminacy = 2 (S) Internally Determinate (T) Internal Static Indeterminacy = 1 (U) Internal Static Indeterminacy = 2

Which one of the following options is correct?

Your answerChoose one option.

P-False; Q-True; R-False; S-False; T-False; U-True

P-False; Q-True; R-False; S-False; T-True; U-False

P-False; Q-False; R-True; S-False; T-False; U-True

P-True; Q-True; R-False; S-True; T-False; U-True

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Consider the following second-order differential equation:

The particular solution of the differential equation is

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Group I contains three broad classes of irrigation supply canal outlets. Group II presents hydraulic performance attributes.

Group I | Group II P. Non-modular outlet | 1. Outlet discharge depends on the water levels in both the supply canal as well as the receiving water course Q. Semi-modular outlet | 2. Outlet discharge is fixed and is independent of the water levels in both the supply canal as well as the receiving water course R. Modular outlet | 3. Outlet discharge depends only on the water level in the supply canal

The correct match of the items in Group I with the items in Group II is

Your answerChoose one option.

P - 1; Q - 2; R - 3

P - 3; Q - 1; R - 2

P - 2; Q - 3; R - 1

P - 1; Q - 3; R - 2

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Group I gives a list of test methods and test apparatus for evaluating some of the properties of Ordinary Portland Cement (OPC) and concrete. Group II gives the list of these properties.

Group I P. Le Chatelier test Q. Vee-Bee test R. Blaine air permeability test S. The Vicat apparatus

Group II

Soundness of OPC

Consistency and setting time of OPC

Consistency or workability of concrete

Fineness of OPC

The correct match of the items in Group I with the items in Group II is

Your answerChoose one option.

P-1, Q-3, R-4, S-2

P-2, Q-3, R-1, S-4

P-4, Q-2, R-4, S-1

P-1, Q-4, R-2, S-3

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GATE CE kind:question PYQs

Question 26

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Question 29

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Question 30

Question 30