Questions 151–160 of 1300. Imported answers require independent review unless marked reviewed.

Topic practice 1300 questionsPage 16 of 130

Question 11

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Suppose

is an eigenvalue of matrix

and

is the corresponding eigenvector. Let

also be an eigenvector of the matrix

, where

is the identity matrix. Then, the eigenvalue of

corresponding to the eigenvector

is equal to
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Question 11

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For the matrix [A] given below, the transpose is ______.
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Question 12

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Let

and

. For

to be solvable, which one of the following options is the correct condition on

,

, and

:
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Question 12

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Integration of

with x i.e.,

______.
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Question 13

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Which one of the following options is the correct Fourier series of the periodic function

described below:
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Question 13

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Consider the following statements (P) and (Q): (P): Fly ash and ground granulated blast furnace slag can be used as mineral admixtures in concrete. (Q): As per IS 456:2000, the minimum moist curing period becomes higher when a mineral admixture is added to concrete. Identify the CORRECT option from choices given below.
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Question 14

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is a random variable that can take any one of the values 0, 1, 7, 11, and 12. The probability mass function for

is


Then, the variance of

is
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Question 14

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Consider the pin-jointed truss shown in the figure. Influence line is drawn for the axial force in the member G-I, when a unit load travels on the bottom chord of the truss. Identify the CORRECT influence line from the following options:
Note: Positive value corresponds to tension and negative value corresponds to compression in the member.
Diagram for Civil Engineering question 14

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Question 15

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As per IS 456:2000 provisions for two-way slabs with continuous edges, the longitudinal steel reinforcement to be provided in the edge strip is based on
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Question 15

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The most suitable test for measuring the permeability of clayey soils in the laboratory is _____.
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