Relations and Functions

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Question

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Question 1 : Which of these is not a type of relation?
1. Reflexive
2. Surjective
3. Symmetric
4. Transitive
Answer
4395

Question 2 : An Equivalence relation is always symmetric.
1. True
2. False
3. Both
4. None
Answer
4396

Question 3 :

Which of the following relations is symmetric but neither reflexive nor transitive for a set A = {1, 2, 3}.

1. R = {(1, 2), (1, 3), (1, 4)}
2. R = {(1, 2), (2, 1)}
3. R = {(1, 1), (2, 2), (3, 3)}
4. R = {(1, 1), (1, 2), (2, 3)}
Answer
4397

Question 4 : Which of the following relations is transitive but not reflexive for the set S={3, 4, 6}?
1. R = {(3, 4), (4, 6), (3, 6)}
2. R = {(1, 2), (1, 3), (1, 4)}
3. R = {(3, 3), (4, 4), (6, 6)}
4. R = {(3, 4), (4, 3)}
Answer
4398

Question 5 :

Let R be a relation in the set N given by R={(a,b): a+b=5, b>1}. Which of the following will satisfy the given relation?

1. (2,3) ∈ R
2. (4,2) ∈ R
3. (2,1) ∈ R
4. (5,0) ∈ R
Answer
4399