1
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Consider the following C program that attempts to locate an element x in an array Y[] using binary search. The program is erroneous.
1.   f(int Y[10], int x) {
2.     int i, j, k;
3.     i = 0; j = 9;
4.     do {
5.             k =  (i + j) /2;
6.             if( Y[k] < x)  i = k; else j = k;
7.         } while(Y[k] != x && i < j);
8.     if(Y[k] == x) printf ("x is in the array ") ;
9.     else printf (" x is not in the array ") ;
10.  }
The correction needed in the program to make it work properly is
A
Change line 6 to: if (Y[k]
B
Change line 6 to: if (Y[k]
C
Change line 6 to: if (Y[k]
D
Change line 7 to: } while ((Y[k]==x)&&(i
2
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
The subset-sum problem is defined as follows:
Given a set S of n positive integers and a positive integer W, determine whether there is a subset of S Whose elements sum to W. An algorithm Q solves this problem in O(nW) time. Which of the following statements is false?
A
Q solves the subset-sum problem in polynomial time when the input is encoded in unary
B
Q solves the subset-sum problem in polynomial time when the input is encoded in binary
C
The subset sum problem belongs to the class NP
D
The subset sum problem is NP-hard
3
GATE CSE 2008
MCQ (Single Correct Answer)
+2
-0.6
Which of the following are true?

I. A programming language which does not permit global variables of any kind and has no nesting of procedures/functions, but permits recursion can be implemented with static storage allocation

II. Multi-level access link (or display) arrangement is needed to arrange activation records only if the programming language being implemented has nesting of procedures/functions

III. Recursion in programming languages cannot be implemented with dynamic storage allocation

IV. Nesting procedures/functions and recursion require a dynamic heap allocation scheme and cannot be implemented with a stack-based allocation scheme for activation records

V. Programming languages which permit a function to return a function as its result cannot be implemented with a stack-based storage allocation scheme for activation records

A
II only
B
I, III and IV only
C
I, II and V only
D
II, III and V only
4
GATE CSE 2008
MCQ (Single Correct Answer)
+1
-0.3
Which of the following describes a handle (as applicable to LR-parsing) appropriately?
A
It is the position in a sentential form where the next shift or reduce operation will occur
B
It is non-terminal whose production will be used for reduction in the next step
C
It is a production that may be used for reduction in a future step along with a position in the sentential form where the next shift or reduce operation will occur
D
It is the production p that will be used for reduction in the next step along with a position in the sentential form where the right hand side of the production may be found
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