Splendid Dynamic Programming Test - 77+ MCQs: Dynamic Programming Quiz: Master Algorithmic Problem Solving with Challenging Questions and Detailed Answers

1. In the context of dynamic programming, what does the term 'bottom-up approach' mean?

Starting from the smallest subproblems and building up to the larger problem

Divide and conquer strategy

Optimizing the most critical steps first

Solving problems iteratively without recursion

2. What is the primary disadvantage of using dynamic programming?

High memory consumption

Slow execution speed

Complex implementation

Limited applicability to algorithmic problems

3. What is the key advantage of memoization in Dynamic Programming?

Reducing time complexity

Minimizing space complexity

Avoiding redundant computations

Enabling parallel processing

4. What does the term 'tabulation' refer to in the context of Dynamic Programming?

Storing intermediate results in a table

Searching for optimal solutions

Iterative problem-solving

Divide and conquer strategy

5. Which problem-solving approach is closely related to Dynamic Programming?

Breadth-First Search

Depth-First Search

Greedy Approach

Divide and Conquer

6. What is the time complexity of the longest common subsequence (LCS) problem using Dynamic Programming?

O(n)

O(n log n)

O(n^2)

O(nm)

7. In dynamic programming, what does the term 'optimal substructure' refer to?

Ensuring the shortest path to a solution

The solution to the original problem can be constructed efficiently from optimal solutions of its subproblems

Solving a problem with minimal resources

Finding the most efficient algorithm for a given problem

8. What is the purpose of the 'overlapping subproblems' property in Dynamic Programming?

It ensures that subproblems are solved iteratively.

It allows the algorithm to divide the problem into smaller, overlapping subproblems.

It indicates that the same subproblems are solved multiple times, enabling the use of memoization.

It has no significance in Dynamic Programming.

9. In Dynamic Programming, what is a subproblem?

A smaller instance of the same problem

An unrelated problem

A problem with dynamic characteristics

A problem with recursive properties

10. What is the role of the 'transition equation' in dynamic programming?

Ensuring smooth transitions between different states of the algorithm

Optimizing code readability

Controlling the flow of program execution

Defining the transition from one subproblem state to another

Dynamic Programming MCQ Test 5