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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 \(A=\{1,2,3,4\}\), \(B=\{1,2,3\}\), and \(C=\{0,1\}\), how many ordered triples \((a,b,c)\) in \(A\times B\times C\) satisfy \(a=b+c\)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={1,2,3,4}) and (B={2,3,5,7,11}), how many pairs ((a,b)) in (A\times B) have (b-a) prime?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={1,2,3,4}) and (B={1,2,3,4,5,6}), how many pairs ((a,b)) in (A\times B) satisfy (ab\le12) and (a+b) is odd?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={0,1,2,3}), (B={0,1,2,3,4}), and (R={(a,b):b\ge a^2-1}), what is (|R|)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf \(A=\{1,2,3,4,5\}\) and \(B=\{2,3,4,5,6,7\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy both conditions: \(a+b\) is prime and \(a<b\)?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 both (a\mid b) and (a<b)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={0,1,2,3,4,5}) and (B={0,1,2,3,4,5}), how many pairs ((a,b)) in (A\times B) satisfy (a^2+b^2=25)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={2,3,4,5,6,7,8}), (B={1,2,3,4,5}), and (R={(a,b):a+3b=17}), what is (|R|)?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={1,2,3,4}) and (B={5,6,7}), how many subsets of (A\times B) contain ((1,5)) and ((4,7)) but do not contain ((2,6))?Class 11Relations and FunctionsCartesian product of setsLevel 22Expert MathematicsIf (A={1,2,3,4}), (B={2,3,4,5,6}), and (S={(a,b):b>a+2}), how many elements are in (S\subseteq A\times B)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard 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={1,2,3,4,5}) and (B={1,2,3,4,5}), how many pairs in (A\times B) are other than the diagonal pairs ((a,a))?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\times B) satisfy (ab\le10)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf (A={2,3,5}) and (B={4,6,10,12,15}), how many pairs ((a,b)) in (A\times B) have (b) divisible by (a)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf (A={1,2,3,4}), (B={1,2,3,4}), and (R={(a,b):a\le b}), how many elements are in (R)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard 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={0,1,2,3}) and (B={0,1,2,3,4}), how many pairs ((a,b)) in (A\times B) satisfy (a+b<5)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf (A={1,2,3,4}), (B={1,2,3,4}), and (R={(a,b):a+b=5}), how many elements are in (R)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf (A) has (3) elements and (B) has (4) elements, what is the number of non-empty subsets of (A\times B)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard MathematicsIf (A={1,2,3,4}) and (B={1,2,3,4,5}), how many pairs ((a,b)) in (A\times B) have (a+b) divisible by (5)?Class 11Relations and FunctionsCartesian product of setsLevel 24Hard