GATE Electronics and Communication

GATE Exam   (Graduate Aptitude Test in Engineering)GATE -electrical and communication engineering questions with detailed explnations with answers,GATE previous  years solved question papers,GATE free solved sample placement papers of Electrical,Communication,Electronics, And all engineering streams solved question papers

Crack Paper - 2

1. Which of the following propositions is a tautology ?

(a) (P V q) → P

(b) P V (q → P)

(c) P V (P →q)    (Ans)

(d) P → (P →q)

2. If A be a finite set of size n, then number of elements in the power set of A x A is

(a) 2²ⁿ

(b) 2ⁿ²    (Ans)

(c) (2ⁿ)²

(d) None of these

3. The number of different spanning trees in complete graph K_n, by Cayley's theorem is

(a) 2^n-2

(b) n^n-2    (Ans)

(c) n^n-1

(d) None of these

4. If ⁿP_r= 3024, then what will be the value of r ?

(a) 3

(b) 4

(c) 6    (Ans)

(d) 9

5. Rank of the diagonal matrix

(a) 1

(b) 2

(c) 3

(d) 4    (Ans)

6. The correct Laplace transform of the function f(t) = e^3t sin 2t is

(a)        2          
      s² - 4s + 9

(b)          2          
      s² - 6s + 9

(c)          2          
      s² - 6s + 13    (Ans)

(d)         3          
      s² - 6s + 13

                                           ¥
7. The value of integral  ∫   d (t - 2) cos (pt/4)dt is
                                  -¥

(a) 1

(b) p

(c) 3p/4

(d) 0    (Ans)

8. For a causal