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Class 11 · Mathematics
→If (A={2,3,5}) and (B={4,6,10,15}), how many pairs ((x,y)) in (A\times B) satisfy (\gcd(x,y)>1)?
Class 11 · Mathematics
→If A={1,2,3}, B={1,2,3}, and U=A×B, how many pairs in U satisfy x≠y?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={2,4,6,8}), how many pairs ((x,y)) in (A\times B) have (y) as a multiple of (x)?
Class 11 · Mathematics
→If (A={1,2,3}), (B={2,3,4}), and (T={(x,y)\in A\times B:x+y\text{ is prime}}), what is (n(T))?
Class 11 · Mathematics
→If (A={1,2,3,4,5}) and (B={1,4,9,16,25}), how many pairs ((x,y)) in (A\times B) satisfy (y=x^2) and (x) is odd?
Class 10 · Mathematics
→If \(A=\{0,2,4\}\) and \(B=\{1,3,5\}\), how many ordered pairs in \(A\times B\) have the second coordinate exactly 1 greater than the first coordinate?
Class 10 · Mathematics
→If \(A=\{1,2,3,4\}\) and \(B=\{1,2,3,4\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(x+y\leq 5\)?
Class 10 · Mathematics
→If \(A=\{1,2,3\}\) and \(B=\{1,2,3,4\}\), how many ordered pairs in \(A\times B\) have the first coordinate greater than the second coordinate?
Class 11 · Mathematics
→If \(n(A\times B)=n(B\times C)=30\), \(n(B)=5\), and \(A,B,C\) are non-empty finite sets, what is the value of \(n(A\times C)\)?
Class 11 · Mathematics
→If the Cartesian product \(A\times B\) has 24 elements and set \(A\) has 2 more elements than set \(B\), what is the value of \(n(A)\)?
Class 11 · Mathematics
→If A = {1, 2, 3}, B = {3, 4}, and C = {2, 3, 4}, how many elements does \((A\cap C)\times(B\cap C)\) have?
Class 11 · Mathematics
→Which statement is generally not true for Cartesian products of sets?
Class 11 · Mathematics
→If A={1,2}, B={3,4}, and C={5}, which element belongs to (A×B)×C?
Class 11 · Mathematics
→If (A={a,b,c}) and (B={1,2}), which pair belongs to (B\times A)?
Class 11 · Mathematics
→If (A={1,2,3,4}), (B={1,2,3,4}), and (S={(x,y)\in A\times B:x+y=5}), what is (S)?
Class 11 · Mathematics
→If (A={1,2,3}), (B={1,2,3}), and (R={(x,y)\in A\times B:x+y\text{ is even}}), what is (n(R))?
Class 11 · Mathematics
→If \(A=\{0,1,2,3\}\) and \(B=\{0,1,4,9\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(y=x^2\)?
Class 10 · Mathematics
→If \(A=\{1,2,4,8\}\) and \(B=\{2,4,8,16\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(y=2x\)?
Class 10 · Mathematics
→If A = {1, 2, 3, 4, 5} and B = {1, 2, 3}, how many ordered pairs (x, y) in A × B satisfy x = 2y - 1?
Class 10 · Mathematics
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