NDA Government Jobs Exams

If A = {x, y}, B = {2, 3}, C = {3, 4}, then what is the number of elements in A × (B ∪ C) ?

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Which one of the following is a null set ?
(a) {0} (b) { {{}} } (c) { {} } (d) {x |x^2 + 1 = 0, x ∈ R|} What is the value of logy x^5 logx y^2 logz z^3 ?