Gate Exam

How many 4-digit even numbers have all 4 digits distinct?
(a) 2240
(b) 2296
(c) 2620
(d) 4536

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Gate Other Question

Consider two well-formed formulas in prepositional logic
El: P - iP
E2: (Pi - iP)v(--iPiP)
Which of the following statements is correct?
(a) Fl is satisfiable, F2 is valid
(b) Fl unsatisfiable, F2 is satisfiable
(c) Fl is unsatisfiable, F2 is valid
(d) Fl and F2 are both satisfiable Let f: A - B be a function, and let E and F be subsets of A. Consider the following
statements about images.
Si:f(EuF)=f(E) uf(F)
S2:f(EnF)=f(E) nf(F)
Which of the following is true about Si and S2?
(a) Only Si is correct
(b) Only S2 is correct
(c) Both Si and S2 are correct
(d) None of Si and S2 is correct