Mathematics
Transitive relation
Practice questions
On (A={1,2,3,4}), the relation is (R={(a,b):a<b}). What is the nature of this relation?On (A={1,2,3,4}), (R={(a,b):|a-b|=1}). Is it transitive?On (A={1,2,3,4}), (R={(a,b):a) divides (b}). Which option correctly shows a transitivity check?On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). Is this relation transitive or not?On (A={1,2,3,4}), (R={(1,2),(2,3),(3,4),(1,3),(2,4)}). Which pair must be added to make it transitive?On natural numbers, (aRb) is defined when (a+b) is even. Why is this relation transitive?On integers, (aRb) is defined when (a+b) is odd. Is this relation transitive?On (A={1,2,3}), (R={(1,1),(1,2),(2,2),(2,3),(3,3)}). Which statement about transitivity is correct?On (A={1,2,3,4}), (R={(a,b):a\ge b}). What is the nature of this relation?On (A={1,2,3}), (R={(1,2),(2,2),(2,3)}). What is the main reason transitivity fails?A relation (R) on a set (A) is transitive. If ((5,7) \in R) and ((7,9) \in R), which conclusion is certain?On (A={1,2,3,4}), (R={(1,2),(2,3),(3,1),(1,3),(2,1)}). Which pair must be present for transitivity but is missing?On real numbers, (aRb) is defined when (a^2=b^2). Is this relation transitive?On the set of points in a plane, (P R Q) is defined when (P) and (Q) have the same (x)-coordinate. What is the nature of this relation?On (A={1,2,3,4,5}), (R={(a,b):a+1=b}). Is this relation transitive?On (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(4,4)}). Choose the correct statement about this relation.On (A={1,2,3,4}), (R={(1,3),(3,2),(2,4),(1,2),(3,4)}). Which pair is compulsory to add to make it transitive?On real numbers, (aRb) is defined when (a-b\ge 0). What is the nature of this relation?On integers, (aRb) is defined when (a-b) is even. What is the correct conclusion about this relation?On (A={1,2,3,4,5}), (R={(a,b):a+b=6}). Is this relation transitive?