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Relations And Functions

Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsIf |A × B| = 24, |A| = 4, and |C| = 7, what is |B × C|?Class 11Relations and FunctionsCartesian product of setsLevel 22Medium MathematicsIf \(A=\{1,2,3,4,5,6\}\) and \(B=\{2,3,4,5\}\), how many ordered pairs \((a,b)\) in \(A\times B\) have \(a+b\) divisible by 2?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = B = {1, 2, 3, 4, 5, 6}, how many ordered pairs (a, b) in A × B satisfy both a + b = 7 and a < b?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf \(A=\{1,2,3,4,5\}\) and \(B=\{2,4,6,8,10\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a+b=11\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {1, 2, 3, 4, 5} and B = {1, 2, 3, 4, 5}, how many ordered pairs (a, b) in A × B have a and b coprime?Class 11Relations and FunctionsCartesian product of setsLevel 24Medium MathematicsIf \(A=\{1,2,3,4\}\) and \(A\times B\) has 28 elements, what is the value of \(|B|\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {2, 3, 4} and B = {5, 6, 7}, which of (3, 6), (5, 6), and (4, 7) is not in A × B?Class 11Relations and FunctionsCartesian product of setsLevel 24Easy MathematicsIf A = {2,4} and A × C = {(2,1),(2,3),(2,5),(4,1),(4,3),(4,5)}, what is C?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {1,2,3,4,5} and B = {1,2,3,4,5,6}, how many pairs (a,b) in A × B have b as a multiple of a?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {1,2,3,4,5,6} and B = {1,2,3,4,5,6}, how many pairs (a,b) in A × B satisfy a ≠ b?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{1,2,3,4,5,6,7\}\) and \(B=\{0,1,2,3\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a-2b=1\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {1, 2, 3, 4, 5} and B = {3, 6, 9, 12}, how many ordered pairs (a, b) in A × B satisfy b = 3a?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {1,3,5}, B = {2,3,4,5}, and C = {3,5,7}, what is A × (B − C)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{0,1,2\}\), \(B=\{1,2,3,4\}\), and \(C=\{2,4,6\}\), what is the value of \(|A\times(B\cap C)|\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{1,2,3,4\}\), \(B=\{2,4,6\}\), and \(C=\{4,6,8\}\), what is the value of \(|A\times(B\cup C)|\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {2,3,4} and B = {6,8,9,12}, how many pairs (a,b) in A × B have a dividing b?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {1,2,3,4,5,6} and B = {1,2,3}, how many pairs (a,b) in A × B satisfy a ≥ 2b + 1?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{1,2,3,4,5\}\) and \(B=\{2,4,6\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a+b=9\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf \(A=\{a,b\}\) and \(B=\{1,2,3,4\}\), how many ordered pairs are there in \(B\times A\)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf A = {1,2,3}, B = {1,2,3,4}, and S = {(a,b) : b > a + 1} ⊆ A × B, how many elements are in S?Class 11Relations and FunctionsCartesian product of setsLevel 23Medium