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Class 12 · Mathematics · Expert
→In (R={(a,b):a\le b}) on (A={1,2,3,4}), which is the least element?
Class 12 · Mathematics · Expert
→On (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). What is (R^{-1})?
Class 12 · Mathematics · Expert
→If (R) is a reflexive relation, which statement about (R^{-1}) is correct?
Class 12 · Mathematics · Expert
→If (A) has (5) elements, what is the number of relations on (A) that are both reflexive and antisymmetric?
Class 12 · Mathematics · Hard
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). What are the equivalence classes?
Class 12 · Mathematics · Hard
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(1,3)}). Is this relation antisymmetric?
Class 12 · Mathematics · Hard
→On (A={1,2,3}), relation (R=A\times A). Which relation is it?
Class 12 · Mathematics · Hard
→How many ordered pairs are in the identity relation on (A={1,2,3,4})?
Class 12 · Mathematics · Hard
→If (R) is an equivalence relation and (aRb), what is true about ([a]) and ([b])?
Class 12 · Mathematics · Hard
→On (A={1,2,3,4,6,12}), (R={(a,b):a) divides (b)(}). Which statement about ((3,12)) and ((12,3)) is correct?
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), (R={(a,b):a) and (b) are both even or both odd(}). What type of relation is it?
Class 12 · Mathematics · Hard
→On real numbers, (aRb) iff (a-b>0). What type of relation is it?
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), (R={(a,b):a+b=5}). Which property does this relation satisfy?
Class 12 · Mathematics · Hard
→For (R={(1,2),(2,1)}) on (A={1,2,3}), how many minimum pairs must be added to make it reflexive?
Class 12 · Mathematics · Hard
→For (R={(1,2)}) on (A={1,2,3}), which minimum pair must be added to make it symmetric?
Class 12 · Mathematics · Hard
→For (R={(1,2),(2,3)}) on (A={1,2,3}), which minimum pair must be added to make it transitive?
Class 12 · Mathematics · Hard
→On (A={1,2,3,4,5,6}), (aRb) iff (a) and (b) leave the same remainder on division by (3). What is the class of (2)?
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), (R={(a,b): |a-b|) is even(}). How many equivalence classes are formed?
Class 12 · Mathematics · Hard
→If a relation always contains ((a,c)) whenever it contains ((a,b)) and ((b,c)), which property does it have?
Class 12 · Mathematics · Hard
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