If *n*(A)
= 2 and *n*(B ∪C) = 3, then n[(A x B) ∪ (A
xC)] is

**A. ** 2^{3}

**B. ** 3^{2}

**C. ** 6

**D. ** 5

**Answer : ****Option C**

**Explaination / Solution: **

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If two sets A and B have 17 elements in common, then the number of elements common to the set A x B and B x A is

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For non-empty sets A and B, if A ⊂ B then (A x B) ∩ (B x A) is equal to

**A. ** A ∩ B

**B. ** A x A

**C. ** B x B

**D. ** none of these

**Answer : ****Option B**

**Explaination / Solution: **

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The number of relations on a set containing 3 elements is

**A. ** 9

**B. ** 81

**C. ** 512

**D. ** 1024

**Answer : ****Option C**

**Explaination / Solution: **

Let S = {*a,b,c*}

*n*(S) = 3

*n*(S x S) = 9

Number of relations in n{P(SxS)} = 29 = 512

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Let R be the universal relation on a set X with more than one element. Then R is

**A. ** not reflexive

**B. ** not symmetric

**C. ** transitive

**D. ** none of the above

**Answer : ****Option C**

**Explaination / Solution: **

Let X ={*a,b,c*}

Then R = Universal relation

= {(a,a), (a,b)(a,c)(b,a), (b,b)(b,c)(c,a), (c,b)(c,c)}

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