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Consider the 5 × 5 matrix \[{\text{A}} = \left[ {\begin{array}{*{20}{c}} 1&2&3&4&5 \\ 5&1&2&3&4 \\ 4&5&1&2&3 \\ 3&4&5&1&2 \\ 2&3&4&5&1 \end{array}} \right
Select from the alternatives that combination of numbers, which will form a meaningful word if given letters are arranged accordingly. \(\begin{matrix} \ \ \ \text{A} & \rm R & \rm W & \rm L & \rm E & \rm K \\\ \downarrow & \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \\\ \ \ 1 & 2 & 3 & 4 & 5 & 6 \end{matrix}\)
Eigen values of the matrix \[\left[ {\begin{array}{*{20}{c}} 0&1&0&0 \\ 1&0&0&0 \\ 0&0&0&{ - 2i} \\ 0&0&{2i}&0 \end{array}} \right
Let A be an m × n matrix and Ban n × m matrix. It is given that determinant ($$I$$m + AB) = determinant ($$I$$n + BA), where $$I$$k is the k × k identity matrix. Using the above property, the determinant of the matrix given below is
\[\left[ {\begin{array}{*{20}{c}} 2&1&1&1 \\ 1&2&1&1 \\ 1&1&2&1 \\ 1&1&1&2 \end{array}} \right
In a coded language “ADETP” is coded as “$&$&&” and “DTPQUV” is coded as “&&&&$&”? What is the code word for “&&$$&$”?
For what value of x, y and z matrices A and B are equal \(A = \begin{bmatrix} 2 & 0 & x+3 \\\ y-4 & 4 & 6 \end{bmatrix} ; \ \ B = \begin{bmatrix} 2 & 0 & 6 \\\ -2 & 4 & 2z \end{bmatrix}\)
In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives. \(\begin{array}{*{20}{c}} 5&1&3\\ 9&9&4\\ 6&?&7\\ {29}&{22}&{18} \end{array}\)
The question below consists of a set of labelled sentences. These sentences, when properly sequenced form a coherent paragraph. Select the most logical order of sentences from among the options. P: A certain moral code of conduct is ultimately necessary to ensure that the society does not fall prey to degeneration of values, which would lead to rampant sufferings and ultimately chaos. Q: Society’s concerns are our concerns: anything capable of causing a detrimental impact on it in the short term or in course of time is ultimately bound to affect us and our children. R: When we talk about social morality of any kind, what comes into play is our ability to feel for the well-being of our society. S: It is a concern to help the society be safeguarding it from unwanted ills and malaise and ensuring its well-being that is the root of social morality.
The question below consists of a set of labelled sentences. These sentences, when properly sequenced form a coherent paragraph. Select the mostlogical order of sentences from among the options. P: A certain moral code of conduct is ultimately necessary to ensure that the society does not fall prey to degeneration of values, which would lead to rampant
sufferings and ultimately chaos.
Q: Societys concerns are our concerns: anything capable of causing a detrimental impact on it in the short term or in course of time is ultimately bound to affect us
and our children.
R: When we talk about social morality of any kind, what comes into play is our ability to feel for the well-being of our society.
S: It is a concern to help the society by safeguarding it from unwanted ills and malaise and ensuring its well-being that is at the root of social morality.
Which of the following statements are true/false?
1. In case an employee whose minimum rate of wages is fixed under this Act, works overtime, the employer need not pay the money for the extra hours devoted by the employee.
2. If an employee whose minimum rate of wages has been fixed under this Act, works for a less number of hours than the requisite number of hours on a given day, he shall be entitled to receive wages in respect ofwork done by him on that day as ifhe had worked for a full normal working day.
3. In case an employee is involved in two or more classes of work, he shall be paid on the basis of pieces involved.
4. If an employee is employed on piece work for which minimum time rate and not a minimum piece rate has been fixed under this Act, the employer shall pay to such employee wages at not less than the minimum time rate.