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Class 12 · Mathematics
→If (R) and (S) are equivalence relations on (A), which statement about (R\cap S) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4}), how many pairs are in the smallest equivalence relation containing (R={(1,2),(3,4)})?
Class 12 · Mathematics
→On (A={1,2,3}), starting from (R={(1,2),(2,3)}), how many pairs will the smallest relation containing (R) and being reflexive, symmetric and transitive have?
Class 12 · Mathematics
→For (R={(1,2),(2,3),(3,4)}) on (A={1,2,3,4}), how many minimum pairs must be added to form the transitive closure?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1),(1,1)}). Which minimum pair must be added for transitivity?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(3,3)}). Which property does this relation satisfy?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). What type of relation is it?
Class 12 · Mathematics
→For a non-empty set (A), which statement about the empty relation is correct?
Class 12 · Mathematics
→On real numbers, (aRb) iff (a^2+b^2=0). What type of relation is it?
Class 12 · Mathematics
→On real numbers, (aRb) iff (|a|=|b|). What type of relation is it?
Class 12 · Mathematics
→On real numbers, (aRb) iff (a^2\le b^2). Which statement is correct?
Class 12 · Mathematics
→On real numbers, (aRb) iff (a^3=b^3). What type of relation is it?
Class 12 · Mathematics
→On real numbers, (aRb) iff (a-b) is irrational. Which statement is correct?
Class 12 · Mathematics
→On real numbers, (aRb) iff (a-b) is an integer. What type of relation is it?
Class 12 · Mathematics
→On integers, (aRb) iff (a+2b) is divisible by (3). In which property does this relation fail?
Class 12 · Mathematics
→On integers, (aRb) iff (a-b) is divisible by (6). What is the equivalence class of (7)?
Class 12 · Mathematics
→On (A={1,2,3,4}), how many equivalence relations have exactly one class of size (2) and all other classes singleton?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), how many equivalence relations have one class of size (2) and the other of size (3)?
Class 12 · Mathematics
→On (A={1,2,3,4}), how many equivalence relations have exactly two equivalence classes?
Class 12 · Mathematics
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