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Class 12 · Mathematics · Easy

If (A={a,b,c,d}), which is the minimum reflexive relation?

Class 12 · Mathematics · Easy

Let (A={1,2,3}) and (R={(1,1),(2,2),(1,3)}). Why is (R) not reflexive?

Class 12 · Mathematics · Easy

If (A={1,2,3}), which pairs are compulsory for a reflexive relation on (A)?

Class 12 · Mathematics · Easy

What is the correct identification of a reflexive relation?

Class 12 · Mathematics · Hard

If (A) has (6) elements, what is the number of reflexive relations on (A)?

Class 12 · Mathematics · Hard

If (A) has (5) elements, how many reflexive relations can be formed on (A)?

Class 12 · Mathematics · Hard

If a relation on a 3-element set is both reflexive and antisymmetric, how many such relations are possible?

Class 12 · Mathematics · Hard

If (A) has (n) elements, what is the number of symmetric relations on (A)?

Class 12 · Mathematics · Hard

If (A) has (4) elements, how many reflexive relations can be formed on (A)?

Class 12 · Mathematics · Medium

If (A) has (5) elements, what is the number of symmetric relations on (A)?

Class 12 · Mathematics · Medium

If (A) has (5) elements, what is the total number of relations on (A)?

Class 12 · Mathematics · Medium

If (R) and (S) are symmetric relations, which statement is correct about (R\cap S)?

Class 12 · Mathematics · Medium

On integers, (aRb) if (a-b) is divisible by (4). Which is the equivalence class of (1)?

Class 12 · Mathematics · Medium

On (A={1,2,3,6}), (aRb) if (a) divides (b). Which statement is correct?

Class 12 · Mathematics · Medium

On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}). What type of relation is it?

Class 12 · Mathematics · Medium

If (A) has (4) elements, how many symmetric relations are possible on (A)?

Class 12 · Mathematics · Medium

If (A) has (4) elements, how many total relations are possible on (A)?

Class 12 · Mathematics · Medium

If (aRb) means (a) and (b) have the same remainder when divided by (5), what type of relation is it?

Class 12 · Mathematics · Medium

On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4),(4,3)}). What type is (R)?

Class 12 · Mathematics · Medium

A relation (aRb) holds if (a) and (b) study in the same class. On a set of students, what type of relation is this?