Complete GATE CSE 2025 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 17 of 22

Question 49

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is the set of non-negative integers. Let F be the set of functions from A to itself. For any two functions,

, we define

for every number

in A. Which of the following is/are CORRECT about the mathematical structure

?
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Question 50

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CSMSQ2 marksNeeds review
Consider the following deterministic finite automaton (DFA) defined over the alphabet,

. Identify which of the following language(s) is/are accepted by the given DFA.
Diagram for Computer Science and Information Technology question 50

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Question 51

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CSNAT2 marksNeeds review
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 =

and 1M =

. The amount of space in bytes that will be wasted due to internal fragmentation is _____. (Answer in integer)

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