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Class 12 · Mathematics
→On natural numbers, (aRb) if (a) and (b) are coprime. Is (R) transitive?
Class 12 · Mathematics
→On natural numbers, (aRb) if (a) and (b) have a common divisor, that is (\gcd(a,b)>1). Is this relation transitive?
Class 12 · Mathematics
→If (R={(1,2),(2,5),(5,3),(1,5),(2,3)}), which pair is immediately required to make it transitive?
Class 12 · Mathematics
→If (R={(1,2),(2,3),(1,3),(3,5),(1,5),(2,5)}), what type of relation is (R)?
Class 12 · Mathematics
→If for a relation (R), (R\circ R\subseteq R), what is the correct conclusion about (R)?
Class 12 · Mathematics
→If (R) is transitive, what can be said about (R\circ R\subseteq R)?
Class 12 · Mathematics
→If (R={(1,2),(2,3),(1,3)}) and (S={(1,3),(3,4),(1,4)}), what type is (R\cup S)?
Class 12 · Mathematics
→If (R) and (S) are transitive and (R\subseteq S), which statement about (S\setminus R) is correct?
Class 12 · Mathematics
→If (R) is transitive and ((p,q)\in R), ((q,r)\in R), ((r,s)\in R), ((s,t)\in R), which pair must definitely be in (R)?
Class 12 · Mathematics
→If (R={(1,4),(4,2),(2,1),(1,2),(4,1)}), (R) is not transitive because which pair is missing?
Class 12 · Mathematics
→If (R={(1,4),(4,2),(2,2),(1,2),(4,4)}), what is the correct statement about (R)?
Class 12 · Mathematics
→On sets, (A,R,B) if (A\subset B), where (A) is a proper subset. What type of relation is (R)?
Class 12 · Mathematics
→On a family of sets, (A,R,B) if (A\supseteq B). What type of relation is this?
Class 12 · Mathematics
→If (R={(a,b):a,b\in\mathbb{R}\text{ and }a=b^2}), is (R) transitive?
Class 12 · Mathematics
→On real numbers, (aRb) if (a^2<b^2). Which statement is correct for (R)?
Class 12 · Mathematics
→On real numbers, (aRb) if (a^2\le b^2). Is this relation transitive?
Class 12 · Mathematics
→On integers, (aRb) if (a-b) is divisible by (6). What type of relation is (R)?
Class 12 · Mathematics
→If (R={(1,3),(3,2),(2,4),(1,2),(3,4)}), (R) is not transitive because which pair is missing?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,1),(1,1),(2,2),(2,4),(1,4)}). Is (R) transitive?
Class 11 · Political Science
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