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Class 11 · Mathematics · Hard
→If (A={1,2,3,4}), (B={1,2,3,4}), and (R={(a,b):a\le b}), how many elements are in (R)?
Class 11 · Mathematics · Medium
→If A = B = {1, 2, 3, 4, 5, 6}, how many ordered pairs (a, b) in A × B satisfy both a + b = 7 and a < b?
Class 11 · Mathematics · Hard
→If \(A=\{1,2,3,4,5\}\) and \(B=\{2,4,6,8,10\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a+b=11\)?
Class 11 · Mathematics · Hard
→If (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 11 · Mathematics · Medium
→If A = {1, 2, 3, 4, 5} and B = {1, 2, 3, 4, 5}, how many ordered pairs (a, b) in A × B have a and b coprime?
Class 11 · Mathematics · Hard
→If (A={2,4,6,8}) and (B={1,3,5}), what will (a+b) be for every pair ((a,b)) in (A\times B)?
Class 11 · Mathematics · Hard
→If (A={1,2,3,4}), (B={1,2,3,4}), and (R={(a,b):a+b=5}), how many elements are in (R)?
Class 11 · Mathematics · Hard
→If (A) has (3) elements and (B) has (4) elements, what is the number of non-empty subsets of (A\times B)?
Class 11 · Mathematics · Hard
→If \(A=\{1,2,3,4\}\) and \(A\times B\) has 28 elements, what is the value of \(|B|\)?
Class 11 · Mathematics · Hard
→If (A={1,2,3}) and (B={3,2,1}), which statement about (A\times B) and (B\times A) is correct?
Class 11 · Mathematics · Easy
→If A = {2, 3, 4} and B = {5, 6, 7}, which of (3, 6), (5, 6), and (4, 7) is not in A × B?
Class 11 · Mathematics · Hard
→If (A\times B=\varnothing) and (A={0}), what is true about (B)?
Class 11 · Mathematics · Hard
→If A = {2,4} and A × C = {(2,1),(2,3),(2,5),(4,1),(4,3),(4,5)}, what is C?
Class 11 · Mathematics · Hard
→If A = {1,2,3,4,5} and B = {1,2,3,4,5,6}, how many pairs (a,b) in A × B have b as a multiple of a?
Class 11 · Mathematics · Hard
→If (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 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 (ab>15)?
Class 11 · Mathematics · Hard
→If (A={1,2,4}) and (B={2,4,8,16}), how many pairs ((a,b)) in (A\times B) satisfy (\frac{b}{a}=4)?
Class 11 · Mathematics · Hard
→If (A={1,2,3,4,5}) and (B={1,2,3,4}), how many pairs ((a,b)) in (A\times B) have (a+b) prime?
Class 11 · Mathematics · Hard
→If (A={-3,-2,-1,0,1,2,3}) and (B={0,1,4,9}), how many pairs ((a,b)) in (A\times B) satisfy (a^2=b)?
Class 11 · Mathematics · Hard
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