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Class 11 · Mathematics · Hard
→If (A={1,2,3}) and (B={1,2,3}), how many pairs ((a,b)) in (A\times B) satisfy (a+b\ge5)?
Class 11 · Mathematics · Hard
→If (A={1,2,3,4,5}) and (B={1,2,3}), how many pairs ((a,b)) in (A\times B) satisfy (a\le b)?
Class 11 · Mathematics · Hard
→If \(A=\{1,2,3\}\) and \(B=\{2,4,6,8\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(b=2a\)?
Class 11 · Mathematics · Hard
→If (A={2,4,6}) and (B={1,2,3}), how many pairs ((a,b)) in (A\times B) satisfy (\frac{a}{b}=2)?
Class 11 · Mathematics · Medium
→If A = {1, 2, 3, 4} and B = {1, 2, 3, 4}, how many ordered pairs (a, b) in A × B satisfy a ≠ b?
Class 11 · Mathematics · Hard
→If (A={1,2,3}) and (B={1,2,3}), how many diagonal pairs ((a,a)) are in (A\times B)?
Class 11 · Mathematics · Hard
→If (A={0,1,2}) and (B={0,1,2,3}), how many pairs ((a,b)) in (A\times B) satisfy (a+b<3)?
Class 11 · Mathematics · Hard
→If (A={1,2,3}) and (B={1,4,9}), how many pairs ((a,b)) in (A\times B) satisfy (b=a^2)?
Class 11 · Mathematics · Hard
→If (A={1,2,3,4}) and (B={2,3,4,5}), how many pairs ((a,b)) in (A\times B) have (a) dividing (b)?
Class 11 · Mathematics · Hard
→If (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=6)?
Class 11 · Mathematics · Hard
→If \(A=\{1,2,3,4\}\) and \(B=\{1,2,3,4\}\), how many ordered pairs \((a,b)\) in \(A\times B\) have \(a+b\) even?
Class 11 · Mathematics · Hard
→If (A={1,2,3}) and (B={4,5}), how many one-element relations are subsets of (A\times B)?
Class 11 · Mathematics · Hard
→If (A={1,2}) and (B={3,4,5}), how many subsets of (A\times B) have exactly (2) elements?
Class 11 · Mathematics · Medium
→If A = {0, 1}, B = {1, 2}, and C = {2, 3}, what is A × (B − C)?
Class 11 · Mathematics · Hard
→If (A={1,2}), (B={2,3}), (C={3,4}), what is ((A\times B)\cap(A\times C))?
Class 11 · Mathematics · Medium
→If A = {1, 2, 3}, B = {2, 3, 4}, and C = {3, 4, 5}, what is |A × (B ∩ C)|?
Class 11 · Mathematics · Hard
→If (A={1,2}), (B={3,4}), (C={5}), how many elements are in (A\times(B\cup C))?
Class 11 · Mathematics · Hard
→If (|A|=2), (|B|=3), and (|C|=4), what is (|A\times B\times C|)?
Class 11 · Mathematics · Hard
→If (|A|=4), (|B|=5), and (R\subseteq A\times B), what is the maximum possible number of elements in (R)?
Class 11 · Mathematics · Hard
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