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301.

The Language L = {0ⁱ21ⁱ | i ≥ 0}over the alphabet {0,1,2} is: [2 marks]
(A) not recursive
(B) is recursive and is a deterministic CFL.
(C) is a regular language.
(D) is not a deterministic CFL but a CFL.

asked in Computer Science And Engineering, 2007

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302.

A minimum state deterministic finite automaton accepting the language
L= {w | w ε {0,1}^* ,number of 0s and 1s in w are divisible by 3 and 5, respectively}has [2 marks]
(A) 15 states
(B) 11 states
(C) 10 states
(D) 9 states

last reply by CpjJwWHV • 10 years ago • asked in Computer Science And Engineering, 2007

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303.

Consider the series X_n+1 = X_n/2 + 9/8X_n, X_o= 0.5 obtained from the Newton- Raphson method. The series converges to [2 marks]
(A) 1.5
(B) √2
(C) 1.6
(D) 1.4

asked in Computer Science And Engineering, 2007

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304.

Consider the set of (column) vectors defined by
X= {x∈R³| x₁+x₂+x₃=0, where x^T= [x₁,x₂,x₃]^T}.
Which of the following is TRUE? [2 marks]
(A) {[1, -1, 0]^T, [1,0,-1]^T} is a basis for the subspace X.
(B) {[1, -1, 0]^T, [1,0,-1]^T} is a linearly independent set, but it does not span X and therefore is not a basis of X.
(C) X is not a subspace of R³
(D) None of the above

asked in Computer Science And Engineering, 2007

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305.

[2 marks]

asked in Computer Science And Engineering, 2007

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306.

Suppose we uniformly and randomly select a permutation from the 20! Permutations of 1, 2,3 ,…..,20. What is the probability that 2 appears at an earlier position than any other even number in the selected permutation? [2 marks]
(A) 1/2
(B) 1/10
(C) 9!/20!
(D) None of these

asked in Computer Science And Engineering, 2007

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