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Class 12 · Mathematics

On (A={1,2,3,4,5}), the relation (R={(1,2),(2,5),(1,5),(3,4)}) is given. Is this relation transitive?

Class 11 · Political Science

How is the relationship between rights and duties usually understood?

Class 12 · Mathematics

On a set, (R) and (S) are both transitive relations. Which statement is always true?

Class 12 · Mathematics

On (A={1,2,3,4,5}), (R={(a,b):a\ne b}). Is this relation transitive?

Class 12 · Mathematics

On (A={1,2,3,4,5,6}), (R={(a,b):a\mid b\text{ and }b\mid a}). What is the nature of this relation?

Class 12 · Mathematics

On real numbers, (aRb) is defined when (a^2+b^2=0). What is the nature of this relation?

Class 12 · Mathematics

On (A={1,2,3,4,5}), (R={(a,b):a) and (b) are both less than (5)(}). Is this relation transitive?

Class 12 · Mathematics

On real numbers, (aRb) is defined when (a\le b+1). This relation is not transitive. Choose the correct example.

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,2),(2,3),(3,1),(1,3),(2,1)}). Which is a failure of transitivity?

Class 12 · Mathematics

On (A={1,2,3,4,5,6}), (R={(a,b):a\le b\text{ and }a,b\text{ are in the same remainder class when divided by }3}). What is the nature of this relation?

Class 12 · Mathematics

On (A={1,2,3,4,5}), (R={(a,b):a+b=6}). Which counterexample correctly tests transitivity?

Class 12 · Mathematics

On real numbers, (aRb) is defined when (a^2\le b^2). Which statement is correct?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,2),(2,4),(4,4),(1,4),(2,2)}). Is this relation transitive?

Class 12 · Mathematics

On (A={1,2,3,4,5}), (R={(a,b):a) is less than (b) and their difference is divisible by (3)(}). What is the nature of this relation?

Class 12 · Mathematics

On real numbers, (aRb) is defined when (a-b>0). What is the nature of this relation?

Class 12 · Mathematics

On (A={1,2,3,4,6,12}), (aRb) is defined when (b) is divisible by (a). Which is the correct transitivity check?

Class 12 · Mathematics

On (A={1,2,3,4,5}), (R={(a,b):\gcd(a,b)=1}). Is this relation transitive?

Class 12 · Mathematics

On (A={1,2,3,4,5,6}), (aRb) is defined when (a) and (b) are both even or both odd. What is the nature of this relation?

Class 12 · Mathematics

On natural numbers, (aRb) is defined when (b=a^2). Is this relation transitive?

Class 12 · Mathematics

On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(1,3),(3,4)}). Which pair is necessary to make it transitive?