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

MathematicsIf (A={2,3,5}) and (B={4,6,9,10}), how many pairs in (A\times B) satisfy (\gcd(a,b)=1)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={1,2,3}) and (B={1,2,3,4}), how many pairs in (A\times B) satisfy (a<b)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={1,2,3,4}) and (B={2,4,6}), how many pairs in (A\times B) satisfy (a\mid b)?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={x:x\in\mathbb{N},x\le 5}) and (B={y:y\in\mathbb{N},y\text{ is prime},y<10}), how many pairs in (A\times B) have (a+b) even?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf (A={a,b,c}), (B={1,2}), and (C={p,q,r,s}), what is (n((A\times B)\times C))?Class 11Relations and FunctionsCartesian product of setsLevel 24Expert MathematicsIf n(A × B) = 72 and n(A) = 8, what is n(B)?Class 11Relations and FunctionsCartesian product of setsLevel 23Easy MathematicsIf (A={1,2,3,4,5}) and (B={1,2,3,4,5,6}), how many pairs ((a,b)) in (A\times B) have (a+b) odd and (b>a)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf \(A=\{1,2,3\}\), \(B=\{1,2,3\}\), and \(C=\{1,2\}\), how many ordered triples \((a,b,c)\) in \(A\times B\times C\) satisfy \(a+b=2c+1\)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={1,2,3,4}), (B={1,2,3,4,5}), and (R={(a,b):a+b\ge6}), how many pairs are in the complement of (R) relative to (A\times B)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={1,2,3,4,5,6}) and (B={1,2,3,4,5,6}), how many pairs ((a,b)) in (A\times B) satisfy (\gcd(a,b)=2)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={1,2,3,4}) and (B={1,2,3,4,5,6,7,8}), how many pairs ((a,b)) in (A\times B) satisfy (a\mid b) but not (b\mid a)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={1,2,3}), (B={1,2,3}), and (C={1,2,3}), how many triples ((a,b,c)) in (A\times B\times C) satisfy (a+b+c=6)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={1,2,3,4,5}), (B={0,1,2,3,4}), and (R={(a,b):a-b\in{1,3}}), what is (|R|)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={1,2,3,4,5,6}) and (B={1,2,3,4,5,6}), how many pairs ((a,b)) in (A\times B) have both (a) and (b) prime or both composite?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf A = {1, 2, 3, 4}, B = {1, 2, 3, 4, 5, 6}, and R = {(a, b) ∈ A × B : b = 2a or b = 3a}, what is the value of |R|?Class 11Relations and FunctionsRelationsLevel 22Expert MathematicsIf (A={1,2,3,4,5}) and (B={1,2,3,4,5}), how many pairs ((a,b)) in (A\times B) satisfy (a<b) and (a+b) is even?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={1,2,3,4}) and (B={0,1,2,3,4,5}), how many pairs ((a,b)) in (A\times B) satisfy (b\equiv a^2\pmod{5})?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf \(A=\{1,2,3\}\) and \(B=\{1,2,3,4,5,6\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy that \(b\) is a multiple of \(a\) and \(b\ne a\)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={0,1,2,3,4}) and (B={0,1,2,3,4}), how many pairs ((a,b)) in (A\times B) satisfy (a+b\le4) and (a\ne b)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={1,2,3,4,5,6}) and (B={1,2,3,4,5,6}), how many pairs ((a,b)) in (A\times B) satisfy (\operatorname{lcm}(a,b)=6)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert