dMAT Sample Papers with Solutions 2026 (Free Practice Test)

The dMAT (Digital Master Test) was introduced by APS India in June 2026 as a new academic aptitude test for Indian students applying to Master's degree programmes in Germany. It assesses skills such as logical reasoning, problem-solving, and academic understanding through the Core Module and General Academic/Subject Module.

Since the dMAT is a relatively new exam, there are no previous year papers or official sample papers available yet, unlike established tests like the GRE or GMAT.

In this guide, you'll find sample questions along with dMAT sample papers PDF for the Core & General academic module, each with 10 timed questions and a full answer key.

dMAT Exam Format (2026)

The dMAT exam has two modules: Core and General Academic. The Core Module assesses logical and visual reasoning, while the General Academic Module tests your ability to understand and apply academic information.

Both modules are scored separately and combined into a scaled score with a percentile rank. A low score does not automatically disqualify you, as APS considers it alongside your overall application.

Here is an overview of the dMAT exam format:

dMAT Sample Papers for Core Module 

The dMAT Core Module has three fixed subtests, Figure Sequences, Mathematical Equations, and Latin Squares, each timed at 25 minutes with 20 questions on the real exam. We've built dMAT Core Module question papers for each subtest to help you get familiar with the question types, timing, and difficulty level before test day. Each paper includes 10 practice questions and a full answer key with step-by-step explanations.

Figure Sequences

Figure Sequences tests your visual and spatial pattern recognition. You'll see a series of grids where a shape moves, rotates, or changes size following a fixed rule, and you need to work out what belongs in the next frame. This dMAT exam sample paper includes 10 practice questions with diagrams, timed to match the real exam's 75-second-per-question pace, plus a fully worked answer key explaining the pattern behind each one.

[Download the dMAT Figure Sequences Sample Paper PDF]

Latin Squares

Latin Squares tests how quickly you can apply logical elimination. Each question shows a 5×5 grid where the letters A to E must appear exactly once in every row and column, and you need to identify the missing letter in a highlighted cell. This dMAT question paper includes 10 grid-based practice questions and a complete answer key showing the row-and-column logic behind each solution.

[Download the dMAT Latin Squares Sample Paper PDF]

Mathematical Equations

Mathematical Equations tests your numerical reasoning without a calculator or rough paper. Each question gives you a system of equations with unknowns represented by letters, and every system has exactly one whole-number solution between 1 and 20. This dMAT sample question paper includes 10 practice systems and a full answer key with the substitution steps worked out for each one.

[Download the dMAT Mathematical Equations Sample Paper PDF]

dMAT Sample Papers for General Academic Module 

Indian applicants are required to take the General Academic Module as the second stage of the dMAT, a 90-minute section testing how well you apply academic reasoning to unfamiliar material across mathematics, sciences, business, and social sciences. 

dMAT Sample Questions with Answers: Core Module

The dMAT Core Module tests your logical thinking, pattern recognition, and problem-solving skills. It's the same for every applicant, regardless of your academic background, and includes three question types. These questions don't test your subject knowledge; they measure how quickly and accurately you can identify patterns and solve problems.

A. Figure Sequences

Sample Question 1(Difficulty: Low): A black square sits in the top-left corner of a 3×3 grid. In each new picture, it moves one step clockwise around the eight outer cells. A small arrow in the centre turns 90 degrees clockwise each time and starts by pointing up. Where is the square, and which way does the arrow point, in the fifth picture?

Answer: The square is in the bottom-right corner, and the arrow points up. The square moves one outer cell clockwise in each picture, so it goes from top-left to top-centre, top-right, right-centre, and then bottom-right. The arrow completes four 90-degree turns, which brings it back to pointing up.

Sample Question 2(Difficulty: Medium) A black circle starts in the centre of a 3×3 grid. In each new picture, it moves two steps clockwise around the eight outer cells, and its size alternates between small and large with every picture, starting small. What size and position does the circle have in the fourth picture?

Answer: Large, in the bottom-left corner. Starting from the centre, the first move places it on an outer cell; from there, two-step clockwise jumps land it on the bottom-left corner by the fourth picture. Since size alternates, starting small (picture 1 = small), picture 4 falls on a large iteration.

Tips to Solve Figure Sequence Questions

• Focus on one pattern at a time instead of tracking every change together.
• First identify how the shape moves, then check how other elements (colour, size, orientation) change.
• Look for repeated movements, rotations, or size changes, and watch for rules that grow (move 1 field, then 2, then 3).
• Practise visual reasoning questions regularly to improve your speed, since this subtest rewards fast pattern recognition over careful, slow analysis.

B. Mathematical Equations

Sample Question 1(Difficulty: Low): Every letter is a whole number between 1 and 20, and there is exactly one solution. Find A, B, and C.

A + B = 12 B = A + 2 C = A + B

Answer: A = 5, B = 7, and C = 12. Replace B with A + 2 in the first equation: A + (A + 2) = 12, so 2A = 10, A = 5. Then B = 7, and C = 12.

Sample Question 2(Difficulty: Low) Every letter is a whole number between 1 and 20, and there is exactly one solution.

A + 6 = 13; B − 4 = A. Find A and B.

Answer: A = 7, B = 11. Equation 1 has only A: A = 13 − 6 = 7. Substitute into equation 2: B − 4 = 7, so B = 11.

Tips to Solve Mathematical Equation Questions

• Start with the equation that involves only one unknown; that's always the fastest entry point.
• Substitute known values step by step instead of solving everything at once.
• Keep calculations simple, since calculators and rough sheets aren't allowed; you're solving this mentally.
• Check your final values against every equation before choosing your answer; a single arithmetic slip changes every downstream value.

C. Latin Squares

Sample Question 1(Difficulty: Low) Each letter A to E appears exactly once in every row and every column. Which letter belongs in the highlighted cell, given that Row 3 already contains C, D, A, and B, and Column 3 also contains C, D, A, and B?

Answer: E. Row 3 is missing only E, and Column 3 is missing only E too, confirming the answer.

Sample Question 2(Difficulty: Medium) In a 5×5 grid where each letter A to E appears once per row and column, Row 2 currently contains B, D, E, and A (one cell empty), and the same empty cell's column contains C, A, E, and D (one cell empty, the same cell). Which letter belongs in that cell?

Answer: Row 2 is missing only C. The column is missing only B. Since a single cell can only hold one letter, you'd need to check the actual grid to confirm which constraint applies; this is exactly why, on the real exam, you should always verify your answer against both the row and the column before finalising it, since relying on just one can lead you to the wrong letter if you misread the grid.

Tips to Solve Latin Square Questions

• Find a row or column with only one missing value first; that's your fastest win.
• Eliminate letters that already appear in the same row and column before guessing.
• Confirm your answer by checking both the row and the column, not just one.
• Avoid solving the entire grid when only one cell is required; that wastes time you don't have in a 25-minute subtest.

dMAT Sample Questions with Answers: General Academic Module

The dMAT General Academic Module is the standard module used for the APS certificate process for most Indian applicants. It presents short passages, scenarios, or data, followed by single-choice questions that test how well you analyse and apply information rather than memorise facts.

A. Quantitative Reasoning

Sample Question: A delivery service charges a fixed fee of 40 plus 8 for every kilometre travelled. One delivery is billed at 120 in total. How far was the delivery?

(a) 8 km
(b) 10 km
(c) 12 km
(d) 15 km

Answer: (b) 10 km. Subtract the fixed fee first: 120 − 40 = 80. Then divide by the charge per kilometre: 80 ÷ 8 = 10 km.

Tips: Read the entire scenario before calculating. Identify the relationship between the numbers first. Set up one simple equation instead of making multiple calculations. Focus on applying the information given rather than remembering formulas.

B. Natural Sciences

Sample Question: A plant is grown under three light levels for two weeks. Low light: 4 cm. Medium light: 9 cm. High light: 11 cm. Which conclusion does the data best support?

(a) Light does not affect growth
(b) Growth increases with more light, but the increase becomes smaller
(c) Low light is best for growth
(d) Growth doubles at every light level

Answer: (b). Growth increases from 4 cm to 9 cm and then to 11 cm. Although the plant grows more with higher light, the increase becomes smaller at each stage.

Tips: Study the data before reading the answer choices. Choose the conclusion that is directly supported by the information. Ignore options that make assumptions beyond the given data. Base your answer only on the evidence provided.

C. Business and Economics

Sample Question: A cafe sells 200 cups of coffee each day at 50 per cup. It increases the price to 60, and daily sales fall to 180 cups. Did the price increase improve daily revenue?

(a) No, revenue fell (b) Yes, revenue increased (c) Revenue stayed the same (d) It cannot be calculated

Answer: (b). Before: 200 × 50 = 10,000. After: 180 × 60 = 10,800. Daily revenue increased by 800.

Tips: Calculate the values before and after the change. Don't assume that lower sales always reduce revenue. Use the numbers in the question instead of relying on general business knowledge. Check your calculations before selecting an answer.

D. Social Sciences

Sample Question: A survey finds that students who sleep for more than seven hours report higher exam scores. A news article claims this proves that sleep causes better grades. What is the main weakness in this conclusion?

(a) The sample was too large (b) It assumes that a relationship proves cause and effect (c) Sleep cannot be measured (d) Exam scores are always accurate

Answer: (b). The survey shows a relationship between sleep and exam scores, but it doesn't prove that one causes the other. Other factors, such as study habits or lifestyle, could influence both.

Tips: Focus on the logic behind the argument. Look for conclusions that confuse correlation with causation. Choose the answer that best identifies the weakness in the reasoning. Base your decision only on the information given in the passage.

How to Practice dMAT Sample Questions? 

The Core Module is split into three subtests, and each one runs on its own clock: roughly 20 questions in 25 minutes per subtest. That's about 75 seconds per question, so speed matters as much as accuracy.

When you practise the dMAT sample questions, don't just check whether you got the right answer. Time yourself against the real pace (aim for under 75 seconds per question), and since there's no negative marking, always select an answer even if you're unsure, a guess costs you nothing, but a blank answer guarantees zero.

From the Desk of Yocket

The dMAT is a new test, so relying only on sample questions may not be enough to build exam-day confidence. Practise each Core Module question type and spend extra time on the General Academic Module, where you need to apply information from unfamiliar academic material under time pressure. Regular timed practice can help you improve both accuracy and speed before test day.

Yocket Prep gives you focused preparation resources to build the skills you need for the dMAT, including practice for different question formats. You can use structured courses and practice material to prepare for the General Academic Module while keeping your Germany Master's application on track. This can make your preparation more focused instead of leaving you to search for scattered practice resources.