1
GATE CSE 2003
+2
-0.6
Consider the function f defined below.
struct item {
int data;
struct item * next;
};

int f(struct item *p) {
return ((p == NULL) || (p ->next == NULL) ||
((p->data <= p -> next -> data) &&
f(p-> next)));
}
For a given linked list p, the function f returns 1 if and only if
A
the list is empty or has exactly one element
B
the elements in the list are sorted in non-decreasing order of data value
C
the elements in the list are sorted in non-increasing order of data value
D
not all elements in the list have the same data value
2
GATE CSE 2003
+1
-0.3
Consider the following graph among the following sequences
I. a b e g h f
II. a b f e h g
III. a b f h g e
IV. a f g h b e
What are depth first traversals of the above graph?
A
I, II and IV only
B
I and IV only
C
II, III and IV only
D
I, III and IV only
3
GATE CSE 2003
+1
-0.3
Suppose the numbers 7, 5, 1, 8, 3, 6, 0, 9, 4, 2 are inserted in that order into an initially empty binary search tree. The binary search tree uses the usual ordering on natural numbers. What is the in-order traversal sequence of the resultant tree?
A
7 5 1 0 3 2 4 6 8 9
B
0 2 4 3 1 6 5 9 8 7
C
0 1 2 3 4 5 6 7 8 9
D
9 8 6 4 2 3 0 1 5 7
4
GATE CSE 2003
+2
-0.6
Consider the following functional dependencies in a database.
\eqalign{ & \,\,\,\,Date\,\,of\,\,Birth\,\, \to \,\,Age \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,Age\,\, \to \,\,Eligibility \cr & \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,Name\,\, \to \,\,Roll\_number \cr & \,\,\,\,\,Roll\_number\,\, \to \,\,Name \cr & Course\_number\, \to \,\,Course\_name \cr & Course\_number\, \to Instructor \cr & (Roll\_Number,\,Course\_number)\,\, \to \,\,Grade \cr}

The relation (Roll_number, Name, Date_of_Birth, Age) is

A
In $$2$$ $$NF$$ but not in $$3$$ $$NF$$
B
In $$3$$ $$NF$$ but not in $$BCNF$$
C
In $$BCNF$$
D
None of the above
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