1
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
A complete n-ary tree is a tree in which each node has n children or no children. Let I be the number of internal nodes and L be the number of leaves in a complete n-ary tree. If L = 41, and I = 10, what is the value of n?
A
3
B
4
C
5
D
6
2
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider the following C program segment where CellNode represents a node in a binary tree:
struct CellNode 
{ 
     struct CellNOde *leftChild; 
     int element; 
     struct CellNode *rightChild; 
}; 

int GetValue(struct CellNode *ptr) 
{ 
     int value = 0; 
     if (ptr != NULL) 
     { 
       if ((ptr->leftChild == NULL) && 
        (ptr->rightChild == NULL)) 
       value = 1; 
       else 
         value = value + GetValue(ptr->leftChild) 
             + GetValue(ptr->rightChild); 
     } 
     return(value); 
} 
The value returned by GetValue() when a pointer to the root of a binary tree is passed as its argument is:
A
the number of nodes in the tree
B
the number of internal nodes in the tree
C
the number of leaf nodes in the tree
D
the height of the tree
3
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
The inorder and preorder traversal of a binary tree are d b e a f c g and a b d e c f g, respectively. The postorder traversal of the binary tree is:
A
d e b f g c a
B
e d b g f c a
C
e d b f g c a
D
d e f g b c a
4
GATE CSE 2006
MCQ (Single Correct Answer)
+2
-0.6
An array X of n distinct integers is interpreted as a complete binary tree. The index of the first element of the array is 0. If the root node is at level 0, the level of element X[i], i ≠ 0, is
A
⌊log2 i⌋
B
⌈log2 (i + 1)⌉
C
⌊log2 (i + 1)⌋
D
⌈log2 i⌉

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