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Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf n(A−B)=20, n(A∩B)=15, and n(B)=47, find n(B−A).Class 12SetsLevel 10Medium MathematicsU = {1, 2, 3, ..., 120}; A is the set of numbers divisible by 3, B by 4, and C by 12. Which relation is correct?Class 12SetsLevel 14Easy MathematicsIf n(A ∪ B) = 148, n(A − B) = 52, and n(B − A) = 43, what is n(A ∩ B)?Class 12SetsLevel 10Medium MathematicsIf n(A ∪ B) = 81, the number of elements only in A is 29, and the number only in B is 34, what is n(A ∩ B)?Class 12SetsLevel 15Easy MathematicsAccording to De Morgan’s law, what is (A∪B)′ equal to?Class 12SetsLevel 14Easy MathematicsIf A = {1, 2, 3} and B = {2, 3, 4}, which is not a subset of A ∩ B?Class 12SetsLevel 7Medium MathematicsIf (R) and (S) are both equivalence relations on a set (A), which statement about (R\cap S) is correct?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsIf (R) is an equivalence relation on a set (A) and ([a]\cap[b]\neq \varnothing), which conclusion is definitely true?Class 12Relations and FunctionsEquivalence relationLevel 18Hard MathematicsIf (R) is an equivalence relation and ([a]\cap[b]\neq\varnothing), which of the following is always true?Class 12Relations and FunctionsEquivalence relationLevel 17Expert MathematicsIf two equivalence classes (B_1) and (B_2) of an equivalence relation satisfy (B_1\cap B_2\neq \varnothing), what conclusion follows?Class 12Relations and FunctionsEquivalence relationLevel 16Expert MathematicsOn integers, (aRb) holds when (a-b) is divisible by (7). What is ([3]\cap[11])?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsOn integers, (aRb) holds when (a-b) is divisible by (5), and (aSc) holds when (a-c) is divisible by (10). What is (R\cap S) equal to?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsIf (R) is an equivalence relation and ([a]\subseteq [b]\cup[c]), with ([a]\cap[b]\neq\varnothing), which conclusion is correct?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsOn integers, (aRb) holds when (a\equiv b \pmod{4}), and (aSb) holds when (a\equiv b \pmod{6}). In (R\cap S), what is the equivalence class of (14)?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsOn (A={1,2,3,4,5,6}), (R) has classes ({1,2,3},{4,5,6}), and (S) has classes ({1,4},{2,5},{3,6}). How many classes are in (R\cap S)?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsIf (R) and (S) are equivalence relations on (A), the classes of (R\cap S) are obtained from what?Class 12Relations and FunctionsEquivalence relationLevel 17Hard MathematicsOn integers, (aRb) holds when (a-b) is even, and (aSc) holds when (a-c) is divisible by (3). How many equivalence classes are there in (R\cap S)?Class 12Relations and FunctionsEquivalence relationLevel 16Hard MathematicsOn integers, (aRb) holds when (a\equiv b \pmod{3}), and (aSb) holds when (a\equiv b \pmod{5}). In (R\cap S), which is the equivalence class of (7)?Class 12Relations and FunctionsEquivalence relationLevel 16Hard MathematicsIf an equivalence relation (R) satisfies ([x]\cap[y]\neq\varnothing), which conclusion is correct?Class 12Relations and FunctionsEquivalence relationLevel 16Medium MathematicsIf (R) is an equivalence relation and ([a]\neq[b]), what is ([a]\cap[b])?Class 12Relations and FunctionsEquivalence relationLevel 16Easy