1
GATE CSE 1998
MCQ (Single Correct Answer)
+2
-0.6
A complete n-ary tree is one in which every node has O or n sons. If x is the number of internal nodes of a complete n-ary tree, the number of leaves in it is given by
A
x(n – 1) +1
B
xn - 1
C
xn + 1
D
x(n+1)
2
GATE CSE 1998
MCQ (Single Correct Answer)
+2
-0.6
Let A be a two dimensional array declared as follows:
A : array [ 1... 10] [1... 15] of integer;
Assuming that each integer takes one memory locations the array is stored in row-major order and the first element of the array is stored at location 100, what is the address of the element A[i] [j]?
A
15i + j + 84
B
15j + i + 84
C
10i + j + 89
D
10j + i + 89
3
GATE CSE 1998
MCQ (Single Correct Answer)
+2
-0.6
What value would the following function return for the input x = 95?
 function fun (x:integer):integer; 
   Begin 
      If x > 100 then fun : x – 10 
      Else fun : fun(fun (x + 11)) 
   End; 
A
89
B
90
C
91
D
92
4
GATE CSE 1998
MCQ (Single Correct Answer)
+1
-0.3
Which of the following statements is false?
A
A tree with a n nodes has (n – 1) edges
B
A labeled rooted binary tree can be uniquely constructed given its postorder and preorder traversal results.
C
A complete binary tree with n internal nodes has (n + 1) leaves.
D
The maximum number of nodes in a binary tree of height h is ( 2h+1 - 1 ).