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Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a+b) is even(}). What type of relation is it?
Class 12 · Mathematics
→On integers, (aRb) iff (a) and (b) leave the same remainder when divided by (4). What is the equivalence class of (0)?
Class 12 · Mathematics
→If (R) is an equivalence relation on (A), which statement about its equivalence classes is correct?
Class 12 · Mathematics
→On which set can the empty relation be considered reflexive?
Class 12 · Mathematics
→Which statement is always true for the universal relation on a set (A)?
Class 12 · Mathematics
→Which is the smallest reflexive relation on (A={1,2,3})?
Class 12 · Mathematics
→If a relation is both symmetric and antisymmetric, what is true about its off-diagonal pairs?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,3)}). Which property is missing?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). What type of relation is it?
Class 12 · Mathematics
→On (A={1,2,3,4}), relation (R={(a,b):a) divides (b)(}). What type of relation is it?
Class 12 · Mathematics
→For real numbers, relation (R) is defined by (aRb) iff (a\le b). Which statement is correct?
Class 12 · Mathematics
→On the set of integers, relation (R) is defined by (aRb) if (a-b) is divisible by (5). What type of relation is it?
Class 12 · Mathematics
→How many relations on (A={1,2,3}) are both reflexive and symmetric?
Class 12 · Mathematics
→How many symmetric relations are there on (A={1,2,3})?
Class 12 · Mathematics
→If (A) has (4) elements, what is the number of reflexive relations on (A)?
Class 12 · Mathematics
→If (A={1,2,3}), how many total relations can be formed from (A) to (A)?
Class 12 · Mathematics
→If (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) on (A={1,2,3}), is (R) a partial order relation?
Class 12 · Mathematics
→If divisibility relation is defined on (A={1,2,3,6}), which is the greatest element?
Class 12 · Mathematics
→If divisibility relation is defined on (A={2,3,6}), which is the least element?
Class 12 · Mathematics
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