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Class 11 · Mathematics
→If (A\times B=\varnothing), which statement is always true?
Class 11 · Mathematics
→If (A={1,2}), (B={3,4}), and (C={5}), then (A\times(B\cup C)) equals which expression?
Class 11 · Mathematics
→If (A={x\in\mathbb{Z}:-2\le x\le2}) and (B={y\in\mathbb{Z}:y^2=4}), how many pairs in (A\times B) satisfy (x+y=0)?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={3,4,5}), how many pairs are in ((A\times B)\setminus(B\times A))?
Class 11 · Mathematics
→If (A={2,3,5}) and (B={4,6,9,10}), how many pairs in (A\times B) satisfy (\gcd(a,b)=1)?
Class 11 · Mathematics
→If (A={1,2,3}) and (B={1,2,3,4}), how many pairs in (A\times B) satisfy (a<b)?
Class 11 · Mathematics
→If (A={0,1,2}) and (B={-1,0,1}), how many pairs in (A\times B) satisfy (ab=0)?
Class 11 · Mathematics
→If (A={1,2,3,4}) and (B={2,4,6}), how many pairs in (A\times B) satisfy (a\mid b)?
Class 11 · Mathematics
→If (A={x:x\in\mathbb{N},x\le 5}) and (B={y:y\in\mathbb{N},y\text{ is prime},y<10}), how many pairs in (A\times B) have (a+b) even?
Class 11 · Mathematics
→If (A={1,2}) and (B={2,3}), what is (A\times B\cap B\times A)?
Class 11 · Mathematics
→Under which condition is (A\times B=B\times A) definitely true?
Class 11 · Mathematics
→If (A) has (m) elements and (B) has (n) elements and (n(A\times B)=n(B\times A)), choose the correct statement.
Class 11 · Mathematics
→If (A={a,b,c}), (B={1,2}), and (C={p,q,r,s}), what is (n((A\times B)\times C))?
Class 11 · Mathematics
→If (A\times B={(1,2),(1,3),(4,2),(4,3)}), what are (A) and (B)?
Class 11 · Mathematics
→If (A={1,2,3,4}), (B={2,4,6}), (C={3,4,5}) and (D={4,6,8}), how many elements are in ((A\times B)\setminus(C\times D))?
Class 11 · Mathematics
→If (A={1,2,3,4,5}) and (B={1,2,3,4,5}), how many pairs ((x,y)) in (A\times B) satisfy (x+y=xy)?
Class 12 · Mathematics
→If \(A=\{1,2,3\}\) and \(B=\{2,4,6,8\}\), how many ordered pairs \((x,y)\) in \(A\times B\) have \(y/x\) as an integer?
Class 10 · Mathematics
→If \(A=\{-2,-1,0,1,2\}\) and \(B=\{-1,0,1\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(x+y=0\)?
Class 10 · Mathematics
→If \(A=\{0,1,2\}\) and \(B=\{-1,0,1\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(x^2+y^2=1\)?
Class 11 · Mathematics
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