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Overall thermal efficiency of a lumpy coal fired suitably designed heating furnace, if operated & maintained properly may be about __________ percent.
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
At an Electronic Data processing unit, five out of the eight program sets P,Q,R,S,T,U,V and W are to be operated daily. On any one day, except for the first day of a month, only three of the program sets must be the ones that were operated on the previous day. The program operating must also satisfy the following conditions: 1. If program P is to be operated on a day, V can’t be operated on that day. 2. If Q is to be operated on a day, T must be one of the programs to be operated after Q. 3. If R is to be operated on a day, V must be one of the programs to be operated after R. 4. The last program to be operated on any day must be either S or U. If the program sets R and W are to be operated on the first day, which of the following could be the other program on that day?
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. \(\begin{array}{*{20}{c}} 5&1&3\\ 9&9&4\\ 6&?&7\\ {29}&{22}&{18} \end{array}\)
Despite having large reserves of coal, why does India import millions of tonnes of coal? 1. It is the policy of India to save its own coal reserves for the future, and import them from other countries for the present use. 2. Most of the power plants in India are coal-based and they are not able to get sufficient supplies of coal from within the country. 3. Steel companies need a large quantity of coking coal which has to be imported. Which of the statements given above is/are correct?