GATE CSE 2008


Q11.

Which combination of the integer variables x, y and z makes the variable a get the value 4 in the following expression? a = (x > y) ? ((x > z) ? x : z) : ((y > z) ? y : z)
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Q12.

Which of the following is true for the language{ a^{p}|p is a prime} ?
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Q13.

Which of the following statements are true? I. Every left-recursive grammar can be converted to a right-recursive grammar and vice-versa II. All \varepsilon-productions can be removed from any context-free grammar by suitable transformations III. The language generated by a context-free grammar all of whose productions are of the form x \rightarrow w or x \rightarrow wY (where, w is a string of terminals and Y is a non-terminal), is always regular IV. The derivation trees of strings generated by a context-free grammar in Chomsky Normal Form are always binary trees
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Q14.

Which of the following is NOT true of deadlock prevention and deadlock avoidance schemes?
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Q15.

The subset-sum problem is defined as follows. Given a set of n positive integers, S={a_{1},a_{2},...,a_{n}} and positive integer W, is there a subset of S whose elements sum to W? A dynamic program for solving this problem uses a 2-dimensional Boolean array, X, with n rows and W+1 columns. X[i,j], 1\leq i\leq n, 0\leq j \leq W, is TRUE if and only if there is a subset of {a_{1},a_{2},...,a_{i} }whose elements sum to j. Which of the following is valid for 2\leq i\leq n and a_{i} \leq j \leq W?
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Q16.

The subset-sum problem is defined as follows. Given a set of n positive integers, S={a_{1},a_{2},...,a_{n}} and positive integer W, is there a subset of S whose elements sum to W? A dynamic program for solving this problem uses a 2-dimensional Boolean array, X, with n rows and W+1 columns. X[i,j], 1\leq i\leq n, 0\leq j \leq W, is TRUE if and only if there is a subset of {a_{1},a_{2},...,a_{i} }whose elements sum to j. Which entry of the array X, if TRUE, implies that there is a subset whose elements sum to W?
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Q17.

The data blocks of a very large file in the Unix file system are allocated using
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Q18.

Consider the following ER diagram Which of the following is a correct attribute set for one of the tables for the minimum number of tables needed to represent M, N, P, R1, R2?
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Q19.

Consider the following ER diagram The minimum number of tables needed to represent M, N, P, R1, R2 is
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Q20.

The Breadth First Search algorithm has been implemented using the queue data structure. One possible order of visiting the nodes of the following graph is
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