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Class 12 · Mathematics · Easy
→On the set of integers, (aRb) if (|a|=|b|). What type of relation is it?
Class 11 · Political Science · Easy
→How can the relationship between secularism and equality be understood?
Class 12 · Mathematics · Easy
→On (A={1,2,3,4}), how many equivalence classes are formed by the same parity relation?
Class 12 · Mathematics · Easy
→If (R) is an equivalence relation, which statement is always true?
Class 12 · Mathematics · Easy
→For natural numbers, (aRb) if (a) and (b) have the same last digit. What type of relation is it?
Class 12 · Mathematics · Easy
→For real numbers, (aRb) if both (a) and (b) are positive. Why is this not an equivalence relation?
Class 12 · Mathematics · Easy
→For real numbers, (aRb) if (a<b). Why is this not an equivalence relation?
Class 12 · Mathematics · Easy
→For real numbers, (aRb) if (a\le b). Why is this not an equivalence relation?
Class 12 · Mathematics · Easy
→If (R) is an equivalence relation and ([a]\neq[b]), what is ([a]\cap[b])?
Class 12 · Mathematics · Easy
→What are the equivalence classes of the universal relation on a set?
Class 12 · Mathematics · Easy
→What are the equivalence classes of the identity relation on a set?
Class 12 · Mathematics · Easy
→Which statement is true about two different equivalence classes formed by an equivalence relation?
Class 12 · Mathematics · Easy
→If the equivalence classes of an equivalence relation are {(1,2)} and {(3)}, what is the original set?
Class 12 · Mathematics · Easy
→On (A={1,2,3,4}), what type of relation is (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1),(2,4),(4,2)})?
Class 12 · Mathematics · Easy
→In (A={1,2,3,4,5,6}), under the same remainder modulo (3) relation, what is the equivalence class of (3)?
Class 12 · Mathematics · Easy
→In (A={1,2,3,4,5,6}), under the same remainder modulo (3) relation, what is the equivalence class of (2)?
Class 12 · Mathematics · Easy
→In (A={1,2,3,4,5,6}), (aRb) if (a) and (b) have the same remainder when divided by (3). What is the class of (1)?
Class 12 · Mathematics · Easy
→On integers, (aRb) if (a\equiv b \pmod{2}). What is the equivalence class of (1)?
Class 12 · Mathematics · Easy
→On integers, (aRb) if (a\equiv b \pmod{2}). What is the equivalence class of (0)?
Class 12 · Mathematics · Easy
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