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Test: Relations - Computer Science Engineering (CSE) MCQ


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15 Questions MCQ Test Compiler Design - Test: Relations

Test: Relations for Computer Science Engineering (CSE) 2024 is part of Compiler Design preparation. The Test: Relations questions and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus.The Test: Relations MCQs are made for Computer Science Engineering (CSE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Relations below.
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Test: Relations - Question 1

(a,b) what is a?

Detailed Solution for Test: Relations - Question 1

Explanation: A is called the domain.

Test: Relations - Question 2

(a,b) what is b?

Detailed Solution for Test: Relations - Question 2

Explanation: B is called the Range.

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Test: Relations - Question 3

R is said to be reflexive if aRa is true for every a in A;

Detailed Solution for Test: Relations - 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

 If every aRb implies bRa then a relation R will be a symmetric relation.

Detailed Solution for Test: Relations - 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

 If every aRb and bRc implies aRc, then the relation is transitive

Detailed Solution for Test: Relations - 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

 The smallest set A such that A ∪ {1, 2} = {1, 2, 3, 5, 9} is

Detailed Solution for Test: Relations - Question 6

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

Test: Relations - Question 7

 If a set A has n elements, then the total number of subsets of A is.

Detailed Solution for Test: Relations - Question 7

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

Test: Relations - Question 8

If A ∩ B = B, then

Detailed Solution for Test: Relations - Question 8

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

Test: Relations - Question 9

Empty set is a

Detailed Solution for Test: Relations - Question 9

Explanation: Empty set is a finite set.

Test: Relations - Question 10

f A, B and C are any three sets, then A – (B ∪ C) is equal to

Detailed Solution for Test: Relations - Question 10

Explanation: it is De’ Morgan law.

Test: Relations - Question 11

A = {x: x ≠ x }represents

Detailed Solution for Test: Relations - Question 11

Explanation: That is a fact.

Test: Relations - Question 12

 If A, B, C be three sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C, then

Detailed Solution for Test: Relations - Question 12

Explanation: Transition Law.

Test: Relations - Question 13

The number of proper subsets of the set {1, 2, and 3} is.

Detailed Solution for Test: Relations - Question 13

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

Test: Relations - Question 14

 If A and B are any two sets, then A ∪ (A ∩ B) is equal to

Detailed Solution for Test: Relations - Question 14

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

Test: Relations - Question 15

If A, B and C are any three sets, then A × (B ∪ C) is equal to.

Detailed Solution for Test: Relations - Question 15

Explanation: It is distributive law.

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