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Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (aRb) if and only if the minimum of (a) and (b) is (2). Choose the correct conclusion.
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (aRb) if and only if the maximum of (a) and (b) is (5). What type of relation is it?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (aRb) if and only if both (a) and (b) are less than (3). Choose the correct classification.
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (aRb) if and only if both (a) and (b) are prime. Choose the correct statement.
Class 12 · Mathematics · Expert
→On (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). What type of relation is (R^{-1})?
Class 12 · Mathematics · Expert
→If (R) and (S) are transitive relations, choose the correct statement about (R\cup S).
Class 12 · Mathematics · Expert
→If R and S are transitive relations on the same set, which statement about their union R∪S is always valid?
Class 12 · Mathematics · Expert
→On (A={1,2,3}), what must be minimally added to make (R={(1,2),(2,1)}) transitive?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), which minimum pairs must be added to make (R={(1,2),(2,3),(3,4)}) transitive?
Class 12 · Mathematics · Expert
→On (A={1,2,3}), what is the smallest transitive extension of (R={(1,2),(2,3)})?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (aRb) if and only if (a+b=5). Choose the correct type of the relation.
Class 12 · Mathematics · Expert
→On real numbers, (aRb) if and only if (a-b) is irrational. What is the correct conclusion?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (aRb) if and only if (|a-b|\le2). Choose the correct statement.
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,6}), (aRb) if and only if (a\mid b). What type of relation is it?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), the relation (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(1,3),(3,4),(1,4)}) is given. Choose the correct classification.
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), (aRb) if and only if the difference between (a) and (b) is less than (3). Choose the correct statement.
Class 12 · Mathematics · Hard
→If (R) and (S) are transitive relations, choose the correct statement about (R\cap S).
Class 12 · Mathematics · Hard
→If (R) and (S) are transitive relations, which statement is correct about (R\cup S)?
Class 12 · Mathematics · Hard
→Which relation on (A={1,2,3}) is symmetric and transitive but not reflexive?
Class 12 · Mathematics · Hard
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