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Here in Fig.I, a 24-hour clock is shown and in Fig.II and Fig.III, sleeping times of two animals X and Y are shown by shaded portions. Select the correct statement about the sleeping times of X and Y:
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
A rectangular sheet of card board, shown below in Fig. - 1 is 26 cm long and 16 cm broad. Squares, each of 3 cm edge, has been removed from each corner of the paper sheet. An open cuboidal tray, as shown in Fig. - 2, was made using the remaining sheet of card board. What is the volume of the open space, in cubic cm. available in the tray?
The line graph L(G) of a simple graph G is defined as follows: There is exactly one vertex v(e) in L(G) for each edge e in G. For any two edges e and e' in G, L(G) has an edge between v(e) and v(e'), if and only if e and e' are incident with the same vertex in G. Which of the following statements is/are TRUE? (P) The line graph of a cycle is a cycle. (Q) The line graph of a clique is a clique. (R) The line graph of a planar graph is planar. (S) The line graph of a tree is a tree.
A paper is folded (fig. P and Q) and cut (fig. R) as shown. How will the paper appear when unfolded ?
Consider the following statements regarding modulation : 1. The communication systems, where a weak signal is transmitted by the use of a modulation is essential in carrier signal. 2. When the frequency of the high frequency signal is varied in accordance with the intensity of the low-frequency weak signal, the modulation is said to be frequency modulation. 3. The process of recovering original baseband signal from the modulated signal is called phase modulation. Which of the above statements are correct ? 
A rectangular pulse train s(t) as shown in the figure is convolved with the signal cos2(4π × 103t). The convolved signal will be a
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Which of the following activities should be shown separately in the cash flow statement prepared as per Accounting Standard-3?
1. Cash flow from borrowing activities
2. Cash flow from operating activities
3. Cash flow from financing activities
4. Cash flow from investing activities
5. Cash flow from miscellaneous activitie
Which of the following activities should be shown separately in the cash flow statement prepared as per accounting standard-3?
I. Cash flow from borrowing activities.
II. Cash flow from operating activities.
III. Cash flow from financing activities.
IV. Cash flow from investing activities.
V. Cash flow from miscellaneous activities.
Consider the following solution to the producer-consumer synchronization problem. The shared buffer size is ?. Three semaphores empty, full and mutex are defined with respective initial values of 0, ? and 1. Semaphore empty denotes the number of available slots in the buffer, for the consumer to read from. Semaphore denotes the number of available slots in the buffer, for the producer to write to. The placeholder variables, denoted by P, Q, R, and S, in the code below can be assigned either empty or full. The valid semaphore operations are: wait ( ) and signal ( ). Producer: Consumer: do {         wait (P) ;         wait (mutex) ;         //Add item to buffer         signal (mutex) ;         signal (Q) ; } while (1) ; do {          wait (R) ;          wait (mutex) ;          //Consume item from buffer          signal (mutex) ;          signal (S) ; } while (1) ;   Which one of the following assignments to P, Q, R and S will yield the correct solution?