Complete GATE CSE 2023 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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CSMSQ2 marksNeeds review
Let

be an onto (or surjective) function, where

and

are nonempty sets. Define an equivalence relation

on the set

as

where

. Let

be the set of all the equivalence classes under

. Define a new mapping

as

Which of the following statements is/are TRUE?
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Question 50

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CSMSQ2 marksNeeds review
Suppose you are asked to design a new reliable byte-stream transport protocol like TCP. This protocol, named myTCP, runs over a 100 Mbps network with Round Trip Time of 150 milliseconds and the maximum segment life of 2 minutes. Which of the following is/are valid lengths of the Sequence Number field in the myTCP header?
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Question 51

Open question
CSMSQ2 marksNeeds review
Let

be a set and

denote the powerset of

. Define a binary operation

on

as follows:

Let

. Which of the following statements about

is/are correct?
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