1
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider the following C program:
#include 
#define EOF -1 
     void push (int); /* push the argument on the stack */ 
     int pop (void); /* pop the top of the stack */ 
     void flagError (); 
     int main () { 
       int c, m, n, r; 
       while ((c = getchar ()) != EOF) { 
         if (isdigit (c) ) 
           push (c); 
         else if ((c == '+') || (c == '*')) { 
           m = pop (); 
           n = pop (); 
           r = (c == '+') ? n + m : n*m; 
           push (r); 
         } else if (c != ' ') 
           flagError (); 
       } 
       printf("% c", pop ()); 
    } 
What is the output of the program for the following input ? 5 2 * 3 3 2 + * +
A
15
B
25
C
30
D
150
2
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
3
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Suppose you are given an implementation of a queue of integers. The operations that can be performed on the queue are:
i. isEmpty (Q) — returns true if the queue is empty, false otherwise.
ii. delete (Q) — deletes the element at the front of the queue and returns its value.
iii. insert (Q, i) — inserts the integer i at the rear of the queue.
Consider the following function:
void f (queue Q) { 
  int i ; 
  if (!isEmpty(Q)) { 
      i = delete(Q); 
      f(Q); 
      insert(Q, i); 
  } 
} 
What operation is performed by the above function f ?
A
Leaves the queue Q unchanged
B
Reverses the order of the elements in the queue Q
C
Deletes the element at the front of the queue Q and inserts it at the rear keeping the other elements in the same order
D
Empties the queue Q
4
GATE CSE 2007
MCQ (Single Correct Answer)
+2
-0.6
Consider the B+ tree in the adjoining figure, where each node has at most two keys and three links. GATE CSE 2007 Database Management System - File Structures and Indexing Question 15 English 1

Now the key K 50 is deleted from the B+ tree resulting after the two insertions made earlier. Consider the following statements about the B+ tree resulting after this deletion.

i) The height of the tree remains the same.

ii) The node GATE CSE 2007 Database Management System - File Structures and Indexing Question 15 English 2 (disregarding the links) is present in the tree.

iii) The root node remains unchanged (disregarding the links).

Which one of the following options is true ?
A
Statements (i) and (ii) are true
B
Statements (ii) and (iii) are true
C
Statements (iii) and (i) are true
D
All the statements are false