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Class 12 · Mathematics · Hard

On (A={1,2,3,4,5}), (aRb) if and only if the maximum of (a) and (b) is (5). Choose the correct statement.

Class 12 · Mathematics · Hard

On (A={1,2,3,4,5}), (aRb) if and only if the minimum of (a) and (b) is (2). Choose the correct classification.

Class 12 · Mathematics · Hard

On (A={1,2,3,4}), which pairs must necessarily be added to make (R={(1,2),(2,3),(3,4)}) transitive?

Class 12 · Mathematics · Hard

On (A={1,2,3}), (R={(1,2),(2,3)}). What is the smallest transitive extension of (R)?

Class 12 · Mathematics · Hard

On (A={1,2,3}), (R={(1,1),(1,2),(2,2),(2,3),(1,3),(3,3)}). Choose the correct conclusion.

Class 12 · Mathematics · Hard

On real numbers, (aRb) if and only if (a+b=0). Choose the correct statement.

Class 12 · Mathematics · Hard

On (A={1,2,3,4,5}), (aRb) if and only if both (a) and (b) are less than (5). Choose the correct classification.

Class 12 · Mathematics · Hard

On (A={1,2,3,4}), (aRb) if and only if (a=b) or (|a-b|=1). Choose the correct statement.

Class 12 · Mathematics · Hard

On (A={1,2,3,4,5}), (aRb) if and only if (a) is at least (2) less than (b). What type of relation is it?

Class 12 · Mathematics · Hard

On (A={1,2,3}), (R={(1,1),(2,2),(1,2),(2,1)}). Choose the correct classification.

Class 12 · Mathematics · Hard

On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,4),(4,2)}). Choose the correct statement.

Class 12 · Mathematics · Hard

On real numbers, (aRb) if and only if (a-b\ge0). Choose the correct conclusion.

Class 12 · Mathematics · Hard

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

Class 12 · Mathematics · Hard

On (A={1,2,3,4}), (aRb) if and only if (a+b) is divisible by (3). Choose the correct classification.

Class 12 · Mathematics · Hard

On real numbers, (aRb) if and only if (a^2+b^2=0). Choose the correct statement.

Class 12 · Mathematics · Hard

On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3)}). Which property fails?

Class 12 · Mathematics · Hard

On (A={1,2,3,4}), the relation (R={(a,b):a+b) is a perfect square(}) is given. Choose the correct classification.

Class 12 · Mathematics · Hard

On real numbers, (aRb) if and only if (a-b=1). What type of relation is it?

Class 12 · Mathematics · Hard

On real numbers, (aRb) if and only if (|a-b|<1). Choose the correct statement.

Class 12 · Mathematics · Hard

On real numbers, (aRb) if and only if (ab\ge0). What type of relation is it?