Engineering Questions with Answers - Multiple Choice Questions

# Branch and Bound MCQ’s

1 - Question

Branch and bound is a __________
a) problem solving technique
b) data structure
c) sorting algorithm
d) type of tree

Explanation: Branch and bound is a problem solving technique generally used for solving combinatorial optimization problems. Branch and bound helps in solving them faster.

2 - Question

Which of the following is not a branch and bound strategy to generate branches?
a) LIFO branch and bound
b) FIFO branch and bound
c) Lowest cost branch and bound
d) Highest cost branch and bound

Explanation: LIFO, FIFO and Lowest cost branch and bound are different strategies to generate branches. Lowest cost branch and bound helps us find the lowest cost path.

3 - Question

Which data structure is used for implementing a LIFO branch and bound strategy?
a) stack
b) queue
c) array

Explanation: Stack is the data structure is used for implementing LIFO branch and bound strategy. This leads to depth first search as every branch is explored until a leaf node is discovered.

4 - Question

Which data structure is used for implementing a FIFO branch and bound strategy?
a) stack
b) queue
c) array

Explanation: Queue is the data structure is used for implementing FIFO branch and bound strategy. This leads to breadth first search as every branch at depth is explored first before moving to the nodes at greater depth.

5 - Question

Which data structure is most suitable for implementing best first branch and bound strategy?
a) stack
b) queue
c) priority queue

Explanation: Priority Queue is the data structure is used for implementing best first branch and bound strategy. Dijkstra’s algorithm is an example of best first search algorithm.

6 - Question

Which of the following branch and bound strategy leads to breadth first search?
a) LIFO branch and bound
b) FIFO branch and bound
c) Lowest cost branch and bound
d) Highest cost branch and bound

Explanation: LIFO, FIFO and Lowest cost branch and bound are different strategies to generate branches. FIFO branch and bound leads to breadth first search.

7 - Question

Which of the following branch and bound strategy leads to depth first search?
a) LIFO branch and bound
b) FIFO branch and bound
c) Lowest cost branch and bound
d) Highest cost branch and bound

Explanation: LIFO, FIFO and Lowest cost branch and bound are different strategies to generate branches. LIFO branch and bound leads to depth first search.

8 - Question

Both FIFO branch and bound strategy and backtracking leads to depth first search.
a) true
b) false

Explanation: FIFO branch and bound leads to breadth first search. Whereas backtracking leads to depth first search.

9 - Question

Both LIFO branch and bound strategy and backtracking leads to depth first search.
a) true
b) false

Explanation: Both backtrackings as well as branch and bound are problem solving algorithms. Both LIFO branch and bound strategy and backtracking leads to depth first search.

10 - Question

Choose the correct statement from the following.
a) branch and bound is more efficient than backtracking
b) branch and bound is not suitable where a greedy algorithm is not applicable
c) branch and bound divides a problem into at least 2 new restricted sub problems
d) backtracking divides a problem into at least 2 new restricted sub problems

Explanation: Both backtracking as well as branch and bound are problem solving algorithms. Branch and bound is less efficient than backtracking. Branch and bound divides a problem into at least 2 new restricted sub problems.

11 - Question

Which of the following can traverse the state space tree only in DFS manner?
a) branch and bound
b) dynamic programming
c) greedy algorithm
d) backtracking