QuizSagar
4 years ago Like 232906
Questions 823
Contests 7
A relation R =AxA on set A={1,2,3}. Identify the properties of relation R
- Reflexive
- Transitive
- Reflexive, Symmetric, Transitive
- Symmetric & Transitive
- Reflexive, Symmetric, Transitive
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A relation R =Φ on set A={1,2,3}. Identify the properties of relation R
- Reflexive
- Reflexive, Transitive
- Reflexive, Symmetric, Transitive
- Symmetric & Transitive
- option3
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A relation R ={(1,2),(3,4} on set A={1,2,3}. Identify the properties of relation R
- Reflexive
- Transitive
- Symmetric
- Irreflexive
- Irreflexive
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Let L(x, y) be the statement “x loves y”, where the domain for both x and y consists of all people in the world. Use quantifiers to express "Everybody loves Jerry"
- ∃xL(x,Riya)
- ∀xL(x,Riya)
- ∀xL(Riya,x)
- ∃xL(Riya, x)
- ∀xL(x,Riya)
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Let L(x, y) be the statement “x loves y”, where the domain for both x and y consists of all people in the world. Use quantifiers to express "Somebody loves Jerry"
- ∃xL(x,Riya)
- ∀xL(x,Riya)
- ∀xL(Riya,x)
- ∃xL(Riya, x)
- ∃xL(x,Riya)
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Let L(x, y) be the statement “x loves y”, where the domain for both x and y consists of all people in the world. Use quantifiers to express "Somebody loved by Riya"
- ∃xL(x,Riya)
- ∀xL(x,Riya)
- ∀xL(Riya,x)
- ∃xL(Riya, x)
- ∃xL(Riya, x)
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Let L(x, y) be the statement “x loves y”, where the domain for both x and y consists of all people in the world. Use quantifiers to express "Everybody loved by Riya"
- ∃xL(x,Riya)
- ∀xL(x,Riya)
- ∀xL(Riya,x)
- ∃xL(Riya, x)
- ∀xL(Riya,x)
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Let L(x, y) be the statement “x loves y”, where the domain for both x and y consists of all people in the world. Use quantifiers to express " There is somebody whom Akanksha love"
- ∃xL(x,Akanksha)
- ∀xL(x,Akanksha)
- ∀xL(Akanksha,x)
- ∃xL(Akanksha,x)
- ∃xL(Akanksha,x)
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Let L(x, y) be the statement “x loves y”, where the domain for both x and y consists of all people in the world. Use quantifiers to express " There is somebody whom Everybody love"
- ∃x∀yL(x,y)
- ∀x∃yL(x,y)
- ∀∃xL(x,y)
- ∃y∀xL(x,y)
- ∃y∀xL(x,y)
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In the set {1. 2. 3} a relation R = {(1, 2), (2, 3)}. How many more members must be included in R so that R will be an equivalence relation?
- 3
- 5
- 6
- 7
- 7
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For reflexive 3, for someone Symmetric 2 and for transitive 1.
Then, equivalence relation will be:
{(1,1),(2,2),(3,3),(1,2),(2,3),(2,1),(3,2),(1,3),(3,1)}
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