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Class 11 · Mathematics

If (A\times B=\varnothing) and (B={7,8}), what is true about (A)?

Class 11 · Mathematics

If (A={1,2}), (B={3,4}), and (A\times C={(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)}), what is (C)?

Class 11 · Mathematics

If (A={1,2,3,4}) and (B={1,2,3,4,5}), how many pairs ((a,b)) in (A\times B) have (b) as a multiple of (a)?

Class 11 · Mathematics

If (A={1,2,3}) and (B={1,2,3,4}), how many pairs ((a,b)) in (A\times B) have (a+b) divisible by (3)?

Class 11 · Mathematics

If (A={1,2,3,4}) and (B={1,2,3,4}), how many pairs ((a,b)) in (A\times B) satisfy (ab>8)?

Class 11 · Mathematics

If (A={1,2,3}) and (B={2,4,6,8}), how many pairs ((a,b)) in (A\times B) satisfy (\frac{b}{a}=2)?

Class 11 · Mathematics

If (A={1,2,3,4}) and (B={1,2,3}), how many pairs ((a,b)) in (A\times B) have (a+b) prime?

Class 11 · Mathematics

If (A={-2,-1,0,1,2}) and (B={0,1,4}), how many pairs ((a,b)) in (A\times B) satisfy (a^2=b)?

Class 11 · Mathematics

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\ne b)?

Class 11 · Mathematics

If \(A=\{1,2,3,4\}\) and \(B=\{1,2,3,4,5\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy that \(b-a\) is odd?

Class 11 · Mathematics

If A = {1, 2, 3, 4, 5} and B = {0, 1, 2}, how many ordered pairs (a, b) in A × B satisfy a − 2b = 1?

Class 11 · Mathematics

If (A={1,2,3,4}) and (B={1,2,4,8}), how many pairs ((a,b)) in (A\times B) satisfy (b=2a)?

Class 11 · Mathematics

If (A={1,2,3,4}) and (B={2,3,4,5}), how many pairs ((a,b)) in (A\times B) have (ab) even?

Class 11 · Mathematics

If (A={1,2,3,4,5}) and (B={1,2,3,4}), how many pairs ((a,b)) in (A\times B) satisfy (a+b\le6)?

Class 11 · Mathematics

If \(A=\{0,1,2,3\}\) and \(B=\{0,1,2,3\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy that \(a+b\) is even?

Class 11 · Mathematics

If (A={1,2,3,4}) and (B={1,2,3,4}), how many pairs ((a,b)) in (A\times B) satisfy (|a-b|=1)?

Class 11 · Mathematics

If (A={1,2,3}), (B={4,5}), and (C={5,6}), what is the cardinality of ((A\times B)\cup(A\times C))?

Class 11 · Mathematics

If (A={1,2}), (B={2,3}), and (C={3,4}), what is the cardinality of ((A\times B)\cap(A\times C))?

Class 11 · Mathematics

If (A={0,1,2}), (B={1,2,3}), and (C={2,3,4}), what is (A\times(B-C))?

Class 11 · Mathematics

If \(A=\{1,2,3,4\}\), \(B=\{1,2,5\}\), and \(C=\{2,4,5\}\), what is the value of \(|A\times(B\cap C)|\)?