Before diving into sample questions, it is crucial to understand what MBZUAI looks for. The university specializes in three major tracks:
Consequently, the entry exam is not a general IQ test. It is a technical screening assessing your mathematical maturity and programming acumen. The exam is typically proctored online, lasts 60–90 minutes, and consists of two main sections: Mathematics and Python Programming.
The Mohamed bin Zayed University of Artificial Intelligence (MBZUAI) online screening exam typically lasts 45–60 minutes and is proctored via AI. It focuses on three core pillars: Mathematics, Programming, and Machine Learning. Sample Exam Questions
Based on recent applicant reports and official guides, here are representative questions you might encounter:
Machine Learning (Regression & Optimization): Questions often cover differentiating between Linear and Logistic regression and understanding Gradient Descent's use of derivatives to update weights.
Linear Algebra & Probability: Be prepared to solve for matrix eigenvalues and calculate probabilities for sequential, non-replacement events.
Programming (Data Structures): Identify time complexities, such as the worst-case for searching a singly linked list. Key Exam Topics to Study
Mathematics: Focus on Linear Algebra (eigenvalues, rank, matrix inversion), Calculus (derivatives, maxima/minima), and Trigonometry.
Programming: Primarily Python. Be ready for code snippets involving for and while loops, recursion, and basic Data Structures like linked lists and maps.
Machine Learning: Supervised vs. unsupervised learning, overfitting, bias-variance tradeoff, and evaluation metrics (F1-score, precision, recall). Preparation Tips MBZUAI Online Entry Exam Guidelines
MBZUAI Online Screening Exam is a 45-to-60-minute proctored assessment designed to evaluate foundational knowledge for MSc and PhD candidates. There is no negative marking , so it is advisable to answer every question.
MBZUAI - Mohamed bin Zayed University of Artificial Intelligence Exam Structure & Core Topics The exam typically consists of approximately 40 multiple-choice questions
. The weightage is generally split between three primary domains:
MBZUAI - Mohamed bin Zayed University of Artificial Intelligence Mathematics (~40%): Linear Algebra:
Matrix operations, determinants, eigenvalues, and eigenvectors.
Differentiation (product/quotient rules), integration, and partial derivatives. Probability & Statistics:
Bayes' theorem, distributions (Normal, Bernoulli), mean/variance, and combinatorics. Programming (~40%): Python Essentials:
Basic syntax, list comprehensions, and shallow vs. deep copies. Data Structures & Algos: Stacks, queues, linked lists, and recursion. Complexity:
Big-O notation for common sorting (bubble, quicksort) and searching algorithms. Machine Learning Basics (~20%): Core Concepts: mbzuai entry exam sample questions best
Supervised vs. unsupervised learning, overfitting, and the bias-variance tradeoff.
Linear vs. Logistic Regression and Decision Trees (Gini Index/Entropy). Optimization: Gradient descent and the role of the loss function.
MBZUAI - Mohamed bin Zayed University of Artificial Intelligence Sample Questions
Based on official guidelines and past applicant resources, expect questions similar to these: Linear Algebra: Find the angles for a given system of trigonometric/linear equations (e.g., ML Theory:
"Gradient Descent computes the derivative of the loss function with respect to which parameter?" (Answer: Programming:
"In the worst case, how many comparisons are needed to search a singly linked list of length ?" (Answer: Probability:
"From a bag of 6 red and 2 blue balls, two are drawn without replacement. What is the probability that the second is red?".
MBZUAI - Mohamed bin Zayed University of Artificial Intelligence Preparation Resources MBZUAI Online Entry Exam Guidelines
MBZUAI Online Screening Exam is a mandatory, proctored assessment designed to evaluate your foundational knowledge in Mathematics, Programming, and Machine Learning. The exam is fully automated, lasts approximately 45 to 60 minutes , and does use negative marking.
MBZUAI - Mohamed bin Zayed University of Artificial Intelligence 📐 Mathematics Section (40%)
This section focuses on the mathematical foundations required for Artificial Intelligence. Focus on conceptual understanding and geometric intuition.
MBZUAI - Mohamed bin Zayed University of Artificial Intelligence Linear Algebra
: Matrix operations, determinants, eigenvalues, eigenvectors, and solving systems of linear equations.
: Single and multivariate calculus, including limits, derivatives (chain rule), and optimization. Probability & Statistics
: Discrete and continuous distributions, Bayes' Theorem, mean, variance, and standard deviation. Optimization : Gradients, Jacobians, and Hessians.
MBZUAI - Mohamed bin Zayed University of Artificial Intelligence Sample Questions:
Find the probability that the sum of two rolled dice equals 7. Compute the determinant of a 3x3 matrix.
Find the probability that the second ball drawn from a bag (6 red, 2 blue) is red without replacement. 💻 Programming Section (40%) Most questions use Before diving into sample questions, it is crucial
, but the focus is on algorithmic logic rather than specific language syntax. You may be asked to find the output of code or identify errors. Data Structures
: Basic understanding of Arrays, Stacks, Queues, Linked Lists, and Binary Trees. Algorithms
: Searching and sorting algorithms (e.g., Bubble Sort, Binary Search) and their time complexity.
: Recursion, loops, and Object-Oriented Programming (OOP) including classes and inheritance. Sample Questions:
What is the worst-case time complexity of searching a singly linked list of length
Write a Python function to check if a number is prime or a string is a palindrome.
Identify which WHILE loop produces the same output as a provided FOR loop. 🤖 Machine Learning Basics (20%)
This section tests your grasp of fundamental ML theory and model evaluation. Learning Paradigms
: Differences between supervised, unsupervised, and reinforcement learning. Model Theory
: Overfitting vs. underfitting, the bias-variance tradeoff, and gradient descent. Evaluation Metrics
: Confusion matrix, accuracy, precision, recall, and F1-score. Algorithms
: Key differences between Linear Regression and Logistic Regression. Sample Questions:
Gradient Descent computes the derivative of the loss function with respect to what? (Input, Weight, or Activation)
Explain how decision trees split data using Gini Index or Entropy. 🛠️ Preparation Resources & Tools Official Demo : A demo exam is provided within the Exam Portal software (use PIN: ) to help you test the interface.
: Search for "Mathematical for Machine Learning" or specific calculus/algebra tests. Learning Platforms : Courses on covering "Linear Algebra for ML" are highly recommended. Prep Guides : Third-party resources like the MBZUAI Master's Test Prep Guide offer up to 155 practice MCQs.
MBZUAI - Mohamed bin Zayed University of Artificial Intelligence 📋 Exam Day Checklist
: Use Windows 10/11 or macOS 10.15+. Google Chromebooks and Linux are supported. Environment
: A quiet, well-lit room. Your face must remain visible to the AI Proctor at all times. Consequently, the entry exam is not a general IQ test
: You are allowed blank paper, a pen, and a calculator (though minimal use is advised).
: Have a valid passport or government ID ready for the system's identity check.
MBZUAI - Mohamed bin Zayed University of Artificial Intelligence If you'd like, I can help you: Drill specific math topics like eigenvalues or probability. Practice Python coding for common data structures. Explain ML concepts like the bias-variance tradeoff in detail. subject area would you like to start with? MBZUAI Online Screening Exam Instructions
The Mohamed bin Zayed University of Artificial Intelligence (MBZUAI) entry exam is a critical 45-to-60-minute screening test designed to assess foundational knowledge in mathematics, programming, and machine learning. Success on the exam requires mastery of core computer science principles and mathematical theory, with no negative marking for incorrect answers. Core Exam Topics
The exam typically consists of 40 multiple-choice questions. Key areas include:
Mathematics: Calculus, linear algebra (eigenvalues, rank, and matrix inversion), probability theory, and trigonometry.
Programming: Python-specific knowledge, data structures (linked lists), and fundamental concepts like recursion and time complexity.
Machine Learning: Core concepts such as supervised vs. unsupervised learning, overfitting, gradient descent, and the differences between linear and logistic regression.
Specialization Subjects: For PhD or specific MSc tracks, questions may cover theory of computation, computer architecture, and operating systems. Sample Question Types Candidates often encounter problems similar to these:
Mathematics: Solving systems of trigonometric equations (e.g., finding angles equations).
Programming Output: Determining the result of a nested while loop or a recursive function in Python.
Conceptual AI: Identifying which regression type predicts continuous versus categorical variables.
Probability: Calculating outcomes for drawing colored balls from a bag without replacement or rolling dice. Preparation and Strategy MBZUAI Online Entry Exam Guidelines
The core of ML training is gradient descent. MBZUAI tests if you truly understand derivatives in multiple dimensions.
Sample Question 1: The Jacobian Matrix
Given the function ( f: \mathbbR^3 \to \mathbbR^2 ) defined as: [ f(x,y,z) = \beginbmatrix x^2 y + \sin(z) \ e^x + yz \endbmatrix ] What is the Jacobian matrix ( J_f ) evaluated at the point ( (0, 1, 0) )?
Solution Reasoning: The Jacobian is a matrix of all first-order partial derivatives.
Sample Question 2: Optimization Convexity
Which statement is true about a function ( h(w) = \log(1 + e^-w^T x) ) with respect to ( w ) (where ( x ) is a fixed vector)?
Solution Reasoning: ( \log(1 + e^-a) ) is the softplus function, which is convex. An affine transformation ( (w^T x) ) inside a convex function yields a convex function. Correct answer: A