Q. The number of different binary trees with 6 nodes is .............

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Q. Let A[1...n] be an array of n distinct numbers. If i < j and A[i] > A[j], then the pair (i,j) is called an inversion of A. What is the expected number of inversions in any permutation on n elements?

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Q. Which one of the following array represents a binary max-heap?

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Q. Match the following:

(a) Huffman codes                              (i) O(n2)
(b) Optimal polygon triangulation     (ii) θ(n3)
(c) Activity selection problem             (iii) O(nlgn)
(d) Quicksort                                         (iv) θ(n)

Codes:
      (a)   (b)   (c)   (d)

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Q. Suppose that we have numbers between 1 and 1000 in a binary search tree and want to search for the number 364. Which of the following sequences could not be the sequence of nodes examined?

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Q. A triangulation of a polygon is a set of T chords that divide the polygon into disjoint triangles. Every triangulation of n-vertex convex polygon has ................ chords and divides the polygon into ............... triangles.

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Q. Implicit return type of a class constructor is:

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Q. It is possible to define a class within a class termed as nested class. There are ............ types of nested classes.

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Q. Which of the following statements is correct?

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Q. Which of the following statements is correct?

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Q. When one object reference variable is assigned to another object reference variable then

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Q. Which of the following statement(s) is/are false?

(a) A connected multigraph has an Euler Circuit if and only if each of its vertices has even degree.
(b) A connected multigraph has an Euler Path but not an Euler Circuit if and only if it has exactly two vertices of odd degree.
(c) A complete graph (Kn) has a Hamilton Circuit whenever n≥3
(d) A cycle over six vertices (C6) is not a bipartite graph but a complete graph over 3 vertices is bipartite.

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Q. Consider the following two statements:

(a) A publicly derived class is a subtype of its base class.
(b) Inheritance provides for code reuse.

Which of the above statements is correct?

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Q. In general, in a recursive and non-recursive implementation of a problem (program):

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Q. A three dimensional array in ‘C’ is declared as int A[x][y][z]. Here, the address of an item at the location A[p][q][r] can be computed as follows (where w is the word length of an integer):

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Q. The number of disk pages access in B-tree search, where h is height, n is the number of keys, and t is the minimum degree, is:

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Q. An ideal sort is an in-place-sort whose additional space requirement is ...............

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Q. Loop unrolling is a code optimization technique:

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Q. Match the following w.r.t. programming languages:

List - I                                     List – II
(a) JAVA                        (i) Dynamically object oriented
(b) Python                     (ii) Statically Non-object oriented
(c) Prolog                      (iii) Statically object oriented
(d) ADA                         (iv) Dynamically non-object oriented

Codes:
   (a)  (b)  (c)  (d)

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Q. In Activity-Selection problem, each activity i has a start time si and a finish time fi where si≤fi. Activities i and j are compatible if:

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