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Algorithm Design and Analysis Quiz

Authored by Kituku Ben

Information Technology (IT)

University

Used 2+ times

Algorithm Design and Analysis Quiz
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45 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Scenario: You are asked to create a sorting algorithm for a system that handles millions of transactions per second. Which design paradigm is most appropriate for such scenarios?

Divide and Conquer

Brute Force

Randomized Algorithms

Greedy Algorithms

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Scenario: A company needs an algorithm to verify user credentials against a database with billions of entries. Which factor is most critical to evaluate the algorithm?

Accuracy

Space complexity

Time complexity

Input constraints

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Scenario: An algorithm consistently outputs the wrong results for certain inputs. What property of the algorithm is being violated?

Efficiency

Correctness

Simplicity

Stability

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Scenario: Your algorithm processes T(n)=4T(n/2)+n2. Using Master’s Theorem, identify the time complexity.

O(n2logn)

O(n3)

O(n2)

O(logn)

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Scenario: A function f(n)=5n3+3n2. As nn grows large, what is the asymptotic upper bound?

O(n2)

O(n3)

O(5n3)

O(n4)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Scenario: An algorithm's time complexity is O(log n). What scenario best fits its application?

Searching for an element in a sorted array

Sorting an array

Finding the shortest path in a graph

Traversing a linked list

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Scenario: A recursive algorithm divides a problem into 3 subproblems, each half the size of the original. The recurrence is T(n)=3T(n/2)+n. What is the time complexity?

O(n2)

O(nlogn)

O(nlog23)

O(n)

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