Data Structures and Algorithms Multiple Choice Questions - Set 1

1.       In the deletion operation of max heap, the root is replaced by:
(A) next available value in the left sub-tree.
(B) next available value in the right sub-tree.
(C) first element of the last level
(D) last element of the last level
Answer: D
2.       Which of the following algorithm does not divide the list?
(A) merge sort
(B) binary search
(C) linear search
(D) quick sort
Answer: C
3.       At most, how many comparisons are required to search a sorted vector of 1023 elements using the binary search algorithm?
(A) 10
(B) 15
(C) 20
(D) 30
Answer: A
4.       For implementing recursive function the data structure used is:
(A) Stack
(B) Queue
(C) Linked List
(D) Tree
Answer: A
For implementing recursive function, stack is used as a data structure.
5.       Which of the following is an example of in-place algorithm?
(A) Bubble Sort
(B) Merge Sort
(C) Insertion Sort
(D) None of the above
Answer: B

6.       The postfix form of the following infix notation is : (A + B)* (C*D − E)* F
(A) AB + CD*E − *F*
(B) AB+ CDE + − * F*
(C) AB+ CD − EF + − **
(D) ABCDEF* − + * +
Answer: A
7.       The number of nodes in a complete binary tree of depth d (with root at depth 0) is
(A) 2d−1 +1
(B) 2d+1 -1
(C) 2d−1 -1
(D) 2d+1 +1
Answer: B
8.       What are the sequence of popped out values if the sequence of operations - push(1), push(2), pop, push(1), push(2), pop, pop, pop, push(2), pop are performed on a stack.
(A) 2, 2, 1, 1, 2
(B) 2, 2, 1, 2, 2
(C) 2, 1, 2, 2, 1
(D) 2, 1, 2, 2, 2
Answer: A
9.       In conversion from prefix to postfix using stack data-structure, if operators and operands are pushed and popped exactly once, then the run-time complexity is ............
(A) Ο(1)
(B) Ο(n)
(C) Ο(log n)
(D) Ο(n2)
Answer: B
10.    The average case of quick sort has order
(A) O(n2)
(B) O(n)
(C) O(n log n)
(D) O(log n)
Answer: C

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