GATE CSE 2020


Q41.

Consider the following statements about process state transitions for a system using preemptive scheduling. I. A running process can move to ready state. II. A ready process can move to running state. III. A blocked process can move to running state. IV. A blocked process can move to ready state. Which of the above statements are TRUE?
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Q42.

Each of a set of n processes executes the following code using two semaphores a and b initialized to 1 and 0, respectively. Assume that count is a shared variable initialized to 0 and not used in CODE SECTION P. What does the code achieve?
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Q43.

An organization requires a range of IP address to assign one to each of its 1500 computers. The organization has approached an Internet Service Provider (ISP) for this task. The ISP uses CIDR and serves the requests from the available IP address space 202.61.0.0/17. The ISP wants to assign an address space to the organization which will minimize the number of routing entries in the ISP?s router using route aggregation. Which of the following address spaces are potential candidates from which the ISP can allot any one of the organization? I. 202.61.84.0/21II. 202.61.104.0/21III. 202.61.64.0/21IV. 202.61.144.0/21
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Q44.

onsider the following statements about the functionality of an IP based router. I. A router does not modify the IP packets during forwarding. II. It is not necessary for a router to implement any routing protocol. III. A router should reassemble IP fragments if the MTU of the outgoing link is larger than the size of the incoming IP packet. Which of the above statements is/are TRUE?
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Q45.

Which one of the following predicate formulae is NOT logically valid? Note that W is a predicate formula without any free occurrence of x.
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Q46.

For parameters a and b, both of which are \omega(1) , T(n)=T(n^{1/a})+1, and T(b)=1. Then T(n) is
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Q47.

Consider the following statements. I. If L_1\cup L_2 is regular, then both L_1 \; and \; L_2 must be regular. II. The class of regular languages is closed under infinite union. Which of the above statements is/are TRUE?
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Q48.

Let R be the set of all binary relations on the set {1,2,3}. Suppose a relation is chosen from R at random. The probability that the chosen relation is reflexive (round off to 3 decimal places) is ______.
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Q49.

Which one of the following regular expressions represents the set of all binary strings with an odd number of 1's?
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Q50.

Let G=(V,E) be a directed, weighed graph with weight function w:E\rightarrow \mathbb{R}. For some function f:V\rightarrow \mathbb{R}, for each edge (u,v) \in E, define w'(u,v) as w(u,v)+f(u)-f(v). Which one of the options completes the following sentence so that it is TRUE? "The shortest paths in G under w are shortest paths under w' too,_________".
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