Q. Big-O estimates for the factorial function and the logarithm of the factorial function i.e. n! and log n! is given by

View solution

Q. Match the following:

List-I                                       List-II
a. Classification           i. Principal Component Analysis
b. Clustering                 ii. Branch and Bound
c. Feature Extraction   iii. K-nearest neighbour
d. Feature Selection   iv. K-means

Codes:
      a    b    c    d

View solution

Q. Merge sort makes two recursive calls. Which statement is true after these two recursive calls finish, but before the merge step?

View solution

Q. Searching for an element in the hash table requires O(1) time for the ............... time, whereas for direct addressing it holds for the ............. time.

View solution

Q. An algorithm is made up of 2 modules M1 and M2. If time complexity of  modules M1 and M2 are h(n) and g(n) respectively, the time complexity of the algorithm is

View solution

Q. What is the maximum number of parenthesis that will appear on the stack at any one time for parenthesis expression given by

( ()     (())         (()) )

View solution

Q. Suppose that the splits at every level of Quicksort are in proportion 1-β to β, where 0<β≤0.5 is a constant. The number of elements in an array is n. The maximum depth is approximately

View solution

Q. The minimum number of nodes in a binary tree of depth d (root is at level 0) is

View solution

Q. The efficient data structure to insert/delete a number in a stored set of numbers is

View solution

Q. Consider the following statements:

(i) A graph in which there is a unique path between every pair of vertices is a tree.
(ii) A connected graph with e = v – 1 is a tree.
(iii) A graph with e = v – 1 that has no circuit is a tree.

Which of the above statements is/are true?

View solution

Q. Consider the In-order and Post-order traversals of a tree as given below:

In-order: j e n k o p b f a c l g m d h i
Post-order: j n o p k e f b c l m g h i d a
The Pre-order traversal of the tree shall be

View solution

Q. A simple graph G with n-vertices is connected if the graph has

View solution

Q. Linked Lists are not suitable for ...................

View solution

Q. The decision tree classifier is a widely used technique for ...............

View solution

Q. Match the following :

(a) Dangling pointer    (i) Buffer replacement policy
(b) Page fault               (ii) Variable-length records
(c) List representation (iii) Object identifier
(d) Toss-immediate      (iv) Pointer-swizzling

Codes :
      (a)   (b)  (c)  (d)

View solution

Q. The time complexity of recurrence relation

T(n) = T(n/3) + T(2n/3) + O(n)

is

View solution

Q. The time complexity of an efficient algorithm to find the longest monotonically increasing subsequence of n numbers is

View solution

Q. Given 0-1 knapsack problem and fractional knapsack problem and the following statements :

S1 : 0-1 knapsack is efficiently solved using Greedy algorithm.
S2 : Fractional knapsack is efficiently solved using Dynamic programming.

Which of the following is true ?

View solution

Q. Consider the following sequence of operations :

(i) Pointer p1 is set to point at a new heap-dynamic variable.
(ii) Pointer p2 is assigned p1’s value.
(iii) The heap dynamic variable pointed to by p1 is explicitly de-allocated, but p2 is not changed by the operation.

This situation leads to which of the following :

View solution

Q. Cyclometric complexity of a flow graph G with n vertices and e edges is

View solution