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Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Test  >  Compiler Design  >  Test: Relations - Computer Science Engineering (CSE) MCQ

Relations - GATE CSE (CSE) Compiler Design Free MCQ Test with solutions


MCQ Practice Test & Solutions: Test: Relations (15 Questions)

You can prepare effectively for Computer Science Engineering (CSE) Compiler Design with this dedicated MCQ Practice Test (available with solutions) on the important topic of "Test: Relations". These 15 questions have been designed by the experts with the latest curriculum of Computer Science Engineering (CSE) 2026, to help you master the concept.

Test Highlights:

  • - Format: Multiple Choice Questions (MCQ)
  • - Duration: 15 minutes
  • - Number of Questions: 15

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Test: Relations - Question 1
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(a,b) what is a?

Detailed Solution: Question 1

Explanation: A is called the domain.

Test: Relations - Question 2
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(a,b) what is b?

Detailed Solution: Question 2

Explanation: B is called the Range.

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Test: Relations - Question 3
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R is said to be reflexive if aRa is true for every a in A;

Detailed Solution: Question 3

Explanation: All the elements of A are related with
itself by relation R, hence it is a reflexive relation.

Test: Relations - Question 4
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 If every aRb implies bRa then a relation R will be a symmetric relation.

Detailed Solution: Question 4

Explanation: a is related to b by R, and if b is also related to a by the
same relation R).

Test: Relations - Question 5
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 If every aRb and bRc implies aRc, then the relation is transitive

Detailed Solution: Question 5

Explanation: a is related to b by R, and b is related to c by R, and similarly for a and c.

Test: Relations - Question 6
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 The smallest set A such that A ∪ {1, 2} = {1, 2, 3, 5, 9} is

Detailed Solution: Question 6

Explanation: Given A ∪ {1, 2} = {1, 2, 3, 5, 9}. Hence A = {3,5,9}.

Test: Relations - Question 7
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 If a set A has n elements, then the total number of subsets of A is.

Detailed Solution: Question 7

Explanation: Number of subsets of A = nC0 + nC1+ . . . . . + nCn = 2n.

Test: Relations - Question 8
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If A ∩ B = B, then

Detailed Solution: Question 8

Explanation: Since A ∩ B = B , hence B ⊂ A .

Test: Relations - Question 9
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Empty set is a

Detailed Solution: Question 9

Explanation: Empty set is a finite set.

Test: Relations - Question 10
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f A, B and C are any three sets, then A – (B ∪ C) is equal to

Detailed Solution: Question 10

Explanation: it is De’ Morgan law.

Test: Relations - Question 11
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A = {x: x ≠ x }represents

Detailed Solution: Question 11

Explanation: That is a fact.

Test: Relations - Question 12
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 If A, B, C be three sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C, then

Detailed Solution: Question 12

Explanation: Transition Law.

Test: Relations - Question 13
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The number of proper subsets of the set {1, 2, and 3} is.

Detailed Solution: Question 13

Explanation: Number of proper subsets of the set {1, 2, 3) = 2³ – 1 = 7.

Test: Relations - Question 14
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 If A and B are any two sets, then A ∪ (A ∩ B) is equal to

Detailed Solution: Question 14

Explanation: A ∩ B ⊆ A Hence A ∪ (A ∩ B) = A.

Test: Relations - Question 15
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If A, B and C are any three sets, then A × (B ∪ C) is equal to.

Detailed Solution: Question 15

Explanation: It is distributive law.

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About this Computer Science Engineering (CSE) Practice Test

This test contains 15 MCQs on Relations with detailed solutions for each question. It is part of the Compiler Design course on EduRev, designed to align with the current Computer Science Engineering (CSE) syllabus. Each solution explains not just the correct answer but also gives you an understanding of the topic — not just to attempt the question but also help you prepare for the exam with practice.

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If you found this Relations MCQ Test helpful, you can further enhance your Computer Science Engineering (CSE) preparation with in-depth courses on EduRev, for all the subjects and topics available in Compiler Design course. The course offers:
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