Consider a system with the following: - \(\mathbb{P} = \{ P_1, P_2, P_3, P_4 \}\) consists of all active processes in an operating system. - \(\mathbb{R} = \{ R_1, R_2, R_3, R_4 \}\) consists of single instances of distinct types of resources in the system.
The resource allocation graph has the following assignment and claim edges: Assignment edges: \[ R_1 \to P_1, \quad R_2 \to P_2, \quad R_3 \to P_3, \quad R_4 \to P_4 \] (The assignment edge \( R_1 \to P_1 \) means resource \( R_1 \) is assigned to process \( P_1 \), and so on for others.)
Claim edges: \[ P_1 \to R_2, \quad P_2 \to R_3, \quad P_3 \to R_1, \quad P_2 \to R_4, \quad P_4 \to R_2 \] (The claim edge \( P_1 \to R_2 \) means process \( P_1 \) is waiting for resource \( R_2 \), and so on for others.)
Which of the following statement(s) is/are CORRECT?
In the diagram, the lines QR and ST are parallel to each other. The shortest distance between these two lines is half the shortest distance between the point P and the line QR. What is the ratio of the area of the triangle PST to the area of the trapezium SQRT?
Note: The figure shown is representative
Consider the relationships among P, Q, R, S, and T:
• P is the brother of Q.
• S is the daughter of Q.
• T is the sister of S.
• R is the mother of Q.
The following statements are made based on the relationships given above.
(1) R is the grandmother of S.
(2) P is the uncle of S and T.
(3) R has only one son.
(4) Q has only one daughter.
Which one of the following options is correct?
According to the map shown in the figure, which one of the following statements is correct?
Note: The figure shown is representative.
A disk of size 512M bytes is divided into blocks of 64K bytes. A file is stored in the disk using linked allocation. In linked allocation, each data block reserves 4 bytes to store the pointer to the next data block. The link part of the last data block contains a NULL pointer (also of 4 bytes). Suppose a file of 1M bytes needs to be stored in the disk. Assume, 1K = \(2^{10}\) and 1M = \(2^{20}\). The amount of space in bytes that will be wasted due to internal fragmentation is ___________. (Answer in integer)