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Arpita
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Joined: 04Jan2007
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Quote Arpita Replybullet Topic: CSE GATE sample papers
    Posted: 04Jan2007 at 6:45pm


1 Let G be a simple graph with 20 vertices and 100 edges. The size of the minimum vertex cover of G is 8. Then, the size of the maximum independent set of G is
Options
A) 12 B) 8
C) Less than 8 D) More than 12


Correct Answer A

2 A and B are the only two stations on an Ethernet. Each has a steady queue of frames to send. Both A and B attempt to transmit a frame, collide, and A wins the first backoff race. At the end of this successful transmission by A, both A and B attempt to transmit and collide. The probability that A wins the second backoff race is
Options
A) 0.5  B) 0.625
C) 0.75  D) 1.0


Correct Answer A

3 Consider the grammar
E ® E + n | E x n | n
For a sentence n + n x n, the handles in the right-sentential form of the reduction are
Options
A) n, E + n and E + n x n B) n, E + n and E + E x n
C) n, n + n and n + n x n  D) n, E + n and E x n


Correct Answer D

4 Consider the grammar with the following translation rules and E as the start symbol.
E ® E1 # T    {E.value = E1.value * T.value }
          |    T      {E.value = T.value }
T ®  T1 & F  { T.value = T1.value + F.value }
          |    F      {T.value = F.value}
F ® num        {F.value = num.value }
Compute E. value for the root of the parse tree for the expression: 2 # 3 & 5 # 6 & 4.
Options
A) 200 B) 180
C) 160 D) 40


Correct Answer C

5

Let A be a sequence of 8 distinct integers sorted in ascending order. How many distinct pairs of sequences, B and C are there such that (i) each is sorted in ascending order, (ii) B has 5 and C has 3 elements, and (iii) the result of merging B and C gives A?

Options
A) 2 B) 30
C) 56 D) 256


Correct Answer D

6 Which one of the following is true for a CPU having a single interrupt request line and a single interrrupt grant line?
Options
A) Neither vectored interrupt nor multiple interrupting devices are possible. B) Vectored interrupts are not possible but multiple interrupting devices are possible.
C) Vectored interrupts and multiple interrupting devices are both possible. D) Vectored interrupt is possible but multiple interrupting devices are not possible.


Correct Answer B

7 Consider a relation scheme R = (A, B, C, D, E, H) on which the following functional dependencies hold : (A ® B, BC ® D, E ® C, D ® A). What are the candidate keys of R?
Options
A) AE, BE B) AE, BE, DE
C) AEH, BEH, BCH D) AEH, BEH, DEH


Correct Answer D

8

In a network of LANs connected by bridges, packets are sent from one LAN to another through intermediate bridges. Since more than one path may exist between two LANs, packets may have to be routed through multiple bridges.

Why is the spanning tree algorithm used for bridge-routing?

Options
A) For shortest path routing between LANs B) For avoiding loops in the routing paths
C) For fault tolerance D) For minimizing collisions


Correct Answer B

9 Suppose T(n) = 2T (n/2) + n, T(0) = T(1) = 1
Which one of the following is FALSE?
Options
A) T(n) = O(n2 ) B) T(n) = q (n log n)
C) T(n) = W (n2 D) T(n) = O(n log n)


Correct Answer B

10

Consider the following C program segment 
struct CellNode {
struct CellNode *leftChild ; 
int element;
struct CellNode *rightChild ;
}; 
int DoSomething (struct CellNode *ptr)
 {
int value = 0 ; if (ptr ! = NULL)
{    if (ptr->leftChild ! = NULL) 
value = 1 + DoSomething    (ptr - > leftChild) ;
if (ptr - > rightChild ! = NULL)
value = max (value, 1 + DoSomething   (ptr - > rightChild)) ;
}
return (value); 
}

The value returned by the function DoSomething when a pointer to the root of a 
non-empty tree is passed as argument is 

Options
A) The number of leaf nodes in the tree
B) The number of nodes in the tree 
C) The number of internal nodes in the tree D) The height of the tree


Correct Answer D




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