GATE-CS-2000

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Question 1

The following C declarations 
 

C 
struct node
{
   int i;
   float j;
};
struct node *s[10] ;

define s to be
 

  • An array, each element of which is a pointer to a structure of type node

  • A structure of 2 fields, each field being a pointer to an array of 10 elements

  • A structure of 3 fields: an integer, a float, and an array of 10 elements

  • An array, each element of which is a structure of type node.

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Question 2

Which of the following need not necessarily be saved on a context switch between processes?

  • General purpose registers

  • Translation look aside buffer

  • Program counter

  • All of the above

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Question 3

Suppose the time to service a page fault is on the average 10 milliseconds, while a memory access takes 1 microsecond. Then a 99.99% hit ratio results in average memory access time of

  • 1.9999 milliseconds

  • 1 millisecond

  • 9.999 microseconds

  • 1.9999 microseconds

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Question 4

The value of j at the end of the execution of the following C program.

C 
int incr(int i)
{
   static int count = 0;
   count = count + i;
   return (count);
}
main()
{
   int i,j;
   for (i = 0; i <=4; i++)
      j = incr(i);
}

  • 10

  • 4

  • 6

  • 7

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Question 5

A graphics card has on board memory of 1 MB. Which of the following modes can the card not support?

  • 1600 x 400 resolution with 256 colours on a 17-inch monitor

  • 1600 x 400 resolution with 16 million colours on a 14-inch monitor

  • 800 x 400 resolution with 16 million colours on a 17-inch monitor

  • 800 x 800 resolution with 256 colours on a 14-inch monitor

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Question 6

An n x n array v is defined as follows: 

v[i, j] = i-j for all i, j, 1 <= i <= n, 1 <= j <= n

The sum of the elements of the array v is

  • 0

  • n-1

  • n2 - 3n + 2

  • n2 (n+1)/2

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Question 7

X, Y and Z are closed intervals of unit length on the real line. The overlap of X and Y is half a unit. The overlap of Y and Z is also half a unit. Let the overlap of X and Z be k units. Which of the following is true?

  • k must be 1

  • k must be 0

  • k can take any value between 0 and 1 (d) None of the above

  • None of the above

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Question 8

Suppose you are given an array s[1..n] and a procedure reverse (s, i, j) which reverses the order of elements in a between positions i and j (both inclusive). What does the following sequence do, where 1 <= k <= n: 

reverse(s, 1, k) ;
reverse(s, k + 1, n);
reverse(s, l, n);

  • Rotates s left by k positions

  • Leaves s unchanged

  • Reverses all elements of s

  • None of the above

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Question 9

Let G be an undirected graph. Consider a depth-first traversal of G, and let T be the resulting depth-first search tree. Let u be a vertex in G and let v be the first new (unvisited) vertex visited after visiting u in the traversal. Which of the following statements is always true?

  • {u,v} must be an edge in G, and u is a descendant of v in T

  • {u,v} must be an edge in G, and v is a descendant of u in T

  • If {u,v} is not an edge in G then u is a leaf in T

  • If {u,v} is not an edge in G then u and v must have the same parent in T

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Question 10

Given the following relation instance. 

x  y  z
1  4  2
1  5  3
1  6  3
3  2  2

Which of the following functional dependencies are satisfied by the instance? (GATE CS 2000)

  • XY -> Z and Z -> Y

  • YZ -> X and Y -> Z

  • YZ -> X and X -> Z

  • XZ -> Y and Y -> X

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