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Divisibility

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

MathematicsIf on A={1,2,3,4,6}, aRb means a is a multiple of b, which pair is in R?Class 11Relations and FunctionsRelationsEasy MathematicsOn (A={1,2,3,4,5}), (aRb) if (a) divides (b). Which pair is not in (R)?Class 11Relations and FunctionsRelationsMedium MathematicsIf (A={1,2,3,4}) and (R={(a,b):a) divides (b}), which pair is correct?Class 11Relations and FunctionsRelationsEasy MathematicsIf \(R=\{(x,y):x\mid y\}\), which of the following ordered pairs belongs to \(R\)?Class 11Relations and FunctionsRelationsEasy MathematicsIf A={1,2,3} and B={3,6,9,12}, how many ordered pairs (a,b) in A×B have b as a multiple of a?Class 11Relations and FunctionsCartesian product of setsExpert MathematicsIf \(A=\{2,4,6\}\) and \(B=\{1,2,3,4\}\), how many ordered pairs \((a,b)\) in \(A\times B\) make \(\frac{a}{b}\) an integer?Class 11Relations and FunctionsCartesian product of setsExpert 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 setsExpert MathematicsIf A={1,2,3,4} and B={1,2,3,4}, how many ordered pairs (x,y) in A×B satisfy x|y?Class 11Relations and FunctionsCartesian product of setsMedium MathematicsIf \(A=\{1,2,3,4,5\}\) and \(B=\{1,2,3,4,5\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy that \(a+b\) is even and \(ab\) is divisible by \(3\)?Class 11Relations and FunctionsCartesian product of setsExpert 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 setsExpert 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 (a+b) divisible by (5)?Class 11Relations and FunctionsCartesian product of setsExpert MathematicsIf (A={1,2,3,4,5}) and (B={1,2,3,4,5}), how many pairs ((a,b)) in (A\times B) have (a+b) divisible by (4)?Class 11Relations and FunctionsCartesian product of setsExpert 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 (a+b) divisible by (3) and (a\ne b)?Class 11Relations and FunctionsCartesian product of setsExpert MathematicsIf A = {1, 2, 3, 4}, B = {2, 4, 6, 8}, and R = {(a,b): b/a ∈ N}, what is |R|?Class 11Relations and FunctionsCartesian product of setsMedium 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 setsExpert 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 setsHard 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 setsHard 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 setsHard 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 setsHard MathematicsIf (A={1,2,3,4,5}) and (B={1,2,3,4}), how many pairs ((a,b)) in (A\times B) have (a+b) divisible by (4)?Class 11Relations and FunctionsCartesian product of setsHard