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Class 11 · Mathematics

If (A={2,3,4}) and (B={4,6,8,9,12}), how many pairs ((a,b)) in (A\times B) have (b) divisible by (a)?

Class 11 · Mathematics

If (A={1,2,3}), (B={1,2,3}), and (R={(a,b):a\le b}), how many elements are in (R)?

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 both (a+b=6) and (a<b)?

Class 11 · Mathematics

If \(A=\{1,2,3,4\}\) and \(B=\{2,4,6,8\}\), how many ordered pairs \((a,b)\) in \(A\times B\) satisfy \(a+b=10\)?

Class 11 · Mathematics

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

Class 11 · Mathematics

If (A={1,2,3}) and (B={1,2,3}), how many elements are in the subset (R={(a,b):a+b=4}) of (A\times B)?

Class 11 · Mathematics

If (A) has (4) elements and (B) has (3) elements, what is the number of non-empty subsets of (A\times B)?

Class 11 · Mathematics

If \(A=\{1,2,3\}\) and \(A\times B\) has a total of \(15\) elements, what is the value of \(|B|\)?

Class 11 · Mathematics

If (A={1,2,3}) and (B={3,4,5}), how is the statement (A\times B=B\times A)?

Class 11 · Mathematics

If (A={1,2,3}), (B={4,5,6}), which among ((3,6)), ((4,5)), and ((2,4)) is not in (A\times B)?

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?