GATE 2015 · Session-1
For a set A, the power set of A is denoted by 2^A. If A = {5, {6}, {7}}, which of the following options are TRUE?
I. ∅ ∈ 2^A
II. ∅ ⊆ 2^A
III. {5, {6}} ∈ 2^A
IV. {5, {6}} ⊆ 2^A
The proposition (P ∨ ¬Q) ∧ (¬P ∨ ¬Q) is logically equivalent to:
The determinant of the matrix A = \[\begin{bmatrix}1 & 2 & 3\\0 & 4 & 5\\0 & 0 & 6\end{bmatrix}\] is
Let A and B be two sets with |A| = 4 and |B| = 3. What is the total number of relations from set A to set B?
If g(x) = 1−x and h(x) = x/(x−1), then g(h(x))/h(g(x)) is:
lim(x→∞) x^(1/x) is
Which one of the following is NOT equivalent to p ↔ q?
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