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Class 12 · Mathematics
→If A={1,2,3} and R={(1,2),(2,3),(1,3)}, which fact shows the transitive property?
Class 12 · Mathematics
→If \(A=\{1,2,3\}\), \(B=\{1,2,3,4\}\), and \(R=\{(x,y)\in A\times B:y=x+2\}\), what is \(R\)?
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 12 · Mathematics
→If \(A=\{1,2,3,4\}\) and \(B=\{1,3,5,7\}\), how many ordered pairs \((x,y)\) in \(A\times B\) satisfy \(y=2x-1\)?
Class 11 · Mathematics
→If A={1,2,3,4,5,6} and B={1,2,3,4,5,6}, how many ordered pairs (a,b) in A×B satisfy a+b=9 or ab=12?
Class 11 · Mathematics
→If A = {2,3,4} and B = {6,8,9,12}, how many pairs (a,b) in A × B have a dividing b?
Class 10 · Mathematics
→If x² − 12x + k = 0 has equal roots, what is the value of k?
Class 10 · Mathematics
→Which middle step is correct while solving x² − 8x + 12 = 0 by completing the square?
Class 10 · Mathematics
→Which step is correct in solving x² + 4x − 12 = 0 by completing the square?
Class 10 · Mathematics
→What is obtained by factoring 3x² − 12x = 0?
Class 11 · Mathematics
→If (x, y) ∈ {12} × {1, 2, 3}, what is the value of x?
Class 11 · Mathematics
→If (a, 12) = (9, b), what are the values of a and b?
Class 10 · Mathematics
→Let U = {x ∈ ℕ : x ≤ 120}, A = {x ∈ U : 8 divides x}, B = {x ∈ U : 15 divides x}, and C = {x ∈ U : 20 divides x}. What is n((A ∪ B ∪ C)′)?
Class 10 · Mathematics
→If U = {1, 2, ..., 25} and A' = {4, 8, 12, 16, 20, 24}, how many elements of A are divisible by 4?
Class 12 · Mathematics
→If U = {1, 2, ..., 45} and A = {x : x ∈ U, 9 divides x}, how many elements divisible by 3 are in A'?
Class 12 · Mathematics
→If \(A\cap B'=\varnothing\), which statement is correct?
Class 10 · Mathematics
→If the universal set \(U=\{1,2,\ldots,16\}\), \(A=\{1,2,4,8,16\}\), and \(B=\{3,6,9,12,15\}\), what is the complement of \(A\cup B\) relative to \(U\)?
Class 10 · Mathematics
→If U = {1, 2, ..., 18}, A = {2, 4, 6, 8, 10, 12, 14, 16, 18}, and B = {1, 2, 3, 5, 8, 13}, what is A′ ∩ B′?
Class 10 · Mathematics
→If U = {1, 2, ..., 20}, A = {x ∈ U : x ≤ 12}, and B = {x ∈ U : x is odd}, what is A' ∩ B?
Class 10 · Mathematics
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