50+ Important MAT Aptitude Questions​ and Answers [Free PDF Download]

Overview: Ace the Mathematical Skills section of the MAT exam with our comprehensive guide on MAT aptitude questions. Find important MAT quantitative aptitude questions with answers to boost your preparation.

The Management Aptitude Test (MAT) is a national-level entrance examination organised by the All India Management Association (AIMA) for candidates seeking admission to MBA and PGDM programs across India. 

If you’re gearing up for the MAT 2025 exam, one of the best ways to prepare is by practicing sample questions and diving into MAT previous year papers. This really helps to boost your calculation speed and polish your MCQ-solving skills.

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Once you’ve tackled the MAT syllabus, make sure to jump into solving MAT questions from previous years and work through as many practice questions as you can. Trust me, practicing MAT questions with answers is super beneficial—it’ll help you understand different question types and master all the possibilities. 

Read on to get the most important 30+ MAT Aptitude Questions with answers

Also Read | Best MBA Colleges in India

What are MAT Aptitude Questions?

The Management Aptitude Test (MAT), conducted by AIMA, is a national-level entrance exam for MBA and PGDM programs in India. It evaluates candidates across five key aptitude areas through 200 multiple-choice questions.

Download MAT Previous Year Question Papers PDF

50+ Important MAT Level Aptitude Questions with Answers

Here are 30 important MAT-level aptitude questions to help you prepare. Work through them and then check the answers provided below.

1. The sum of two numbers is 25, and their difference is 13. Find the product of the two numbers.

a) 104

b) 114

c) 124

d) 134

Answer: a) 104

2. If 40% of a number is 200, what is 60% of the same number?

a) 250

b) 300

c) 350

d) 400

Answer: b) 300

3. A shopkeeper sells an article for ₹500, making a profit of 25%. What was the cost price of the article?

a) ₹375

b) ₹400

c) ₹425

d) ₹450

Answer: b) ₹400

4. What is the simple interest on ₹10,000 at 8% per annum for 3 years?

a) ₹2,000

b) ₹2,400

c) ₹2,800

d) ₹3,000

Answer: b) ₹2,400

Read More: How to Prepare for Data Interpretation?

5. A can do a piece of work in 10 days, and B can do it in 15 days. How many days will they take to complete the work if they work together?

a) 5 days

b) 6 days

c) 8 days

d) 12 days

Answer: b) 6 days

6. A car travels at a speed of 60 km/hr. How much distance will it cover in 45 minutes?

a) 30 km

b) 40 km

c) 45 km

d) 50 km

Answer: c) 45 km

7. The average age of 5 students is 15 years. If the age of a new student is included, the average becomes 16 years. What is the age of the new student?

a) 18 years

b) 20 years

c) 21 years

d) 22 years

Answer: c) 21 years

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8. If A:B = 2:3 and B:C = 4:5, find A:B:C.

a) 8:12:15

b) 2:4:5

c) 6:8:15

d) 8:12:10

Answer: a) 8:12:15

9. Solve for x: 3x+7=2x+10

a) 1

b) 2

c) 3

d) 4

Answer: c) 3

10. The length of a rectangle is 12 cm and its width is 8 cm. What is its area?

a) 20 cm2

b) 40 cm2

c) 96 cm2

d) 100 cm2

Answer: c) 96 cm2

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Check: How to prepare for Quantitative Aptitude?

11. In what ratio must water be mixed with milk costing ₹12 per liter so that the mixture costs ₹9 per liter?

a) 1:3

b) 1:4

c) 3:1

d) 4:1

Answer: a) 1:3

12. A bag contains 3 red balls and 5 blue balls. If one ball is drawn at random, what is the probability of drawing a red ball?

a) 3/5

b) 5/8

c) 3/8

d) 1/2

Answer: c) 3/8

13. In how many different ways can the letters of the word "APPLE" be arranged?

a) 60

b) 120

c) 30

d) 24

Answer: a) 60

14. If a pie chart represents 360 students, and the section for "Arts" students is 90 degrees, how many students are in the Arts stream?

a) 60

b) 90

c) 120

d) 180

Answer: b) 90

15. Pipe A can fill a tank in 6 hours and Pipe B can fill it in 8 hours. If both pipes are opened together, in how many hours will the tank be full?

a) 3 hours

b) 373 hours

c) 4 hours

d) 471 hours

Answer: b) 373 hours

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16. At what time between 4 and 5 o'clock will the hands of a clock be at right angles?

a) 4:05115

b) 4:101110

c) 4:38112

d) Both b and c

Answer: d) Both b and c

Check: How to prepare for Logical Reasoning?

17. If today is Tuesday, what day will it be after 60 days?

a) Monday

b) Tuesday

c) Wednesday

d) Thursday

Answer: d) Thursday

18. Find the next number in the series: 2, 5, 10, 17, ?

a) 25

b) 26

c) 27

d) 28

Answer: b) 26

19. Statements: All pens are pencils. All pencils have erasers.

Conclusion: 

• All pens are erasers.
• Some erasers are pens.

a) Only conclusion I follows

b) Only conclusion II follows

c) Both I and II follow

d) Neither I nor II follows

Answer: c) Both I and II follow

20. Pointing to a photograph, a man said, "I have no brother or sister, but that man's father is my father's son." Whose photograph was it?

a) His son's

b) His father's

c) His nephew's

d) His own

Answer: a) His son's

21. If 'CAT' is coded as '3120', how will 'DOG' be coded?

a) 4157

b) 41514

c) 41517

d) 41520

Answer: c) 41517

Click Here: Download CAT Arithmetic questions PDF with Solutions

22. A man walks 10 km North, then 20 km East. What is the shortest distance from his starting point?

a) 20 km

b) 22.36 km

c) 30 km

d) 35 km

Answer: b) 22.36 km

23. The ratio of the ages of A and B is 3:5. After 10 years, their ages will be in the ratio 2:3. Find their present ages.

a) A=20, B=30

b) A=30, B=50

c) A=25, B=45

d) A=15, B=25

Answer: d) A=15, B=25

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24. A and B together can do a work in 12 days. B and C together can do it in 15 days. C and A together can do it in 20 days. In how many days will A alone complete the work?

a) 10 days

b) 15 days

c) 20 days

d) 30 days

Answer: c) 20 days

25. The average marks of 30 students in a class are 60. If the average marks of the first 10 students are 55 and the next 10 students are 65, what is the average marks of the remaining 10 students?

a) 50

b) 55

c) 60

d) 65

Answer: c) 60

26. A, B, and C started a business by investing ₹20,000, ₹25,000, and ₹30,000 respectively. At the end of the year, they made a profit of ₹15,000. What is B's share of the profit?

a) ₹4,000

b) ₹5,000

c) ₹6,000

d) ₹7,500

Answer: b) ₹5,000

27. If a:b=3:4, then find the value of (2a+3b):(3a+2b).

a) 18:17

b) 17:18

c) 16:15

d) 15:16

Answer: b) 17:18

28. A boat travels at 10 km/hr in still water. If the speed of the stream is 2 km/hr, how much time will it take to travel 24 km upstream?

a) 2 hours

b) 3 hours

c) 4 hours

d) 5 hours

Answer: b) 3 hours

29. The angles of a triangle are in the ratio 2:3:4. Find the measure of the smallest angle.

a) 20∘

b) 40∘

c) 60∘

d) 80∘

Answer: b) 40∘

30. Is x an even number?

• x is divisible by 4.
• x is divisible by 6.

a) Statement I alone is sufficient.

b) Statement II alone is sufficient.

c) Both statements I and II together are sufficient.

d) Both statements I and II together are not sufficient.

Answer: d) Both statements I and II together are not sufficient.

31. A travel agency books a tour package for a group of 24 people, charging ₹6,000 per person. While making the arrangements, the agency incurs a fixed cost of ₹50,000 and a variable cost of ₹1,500 per person. What will be the profit or loss for the agency after the tour if three people cancel at the last minute and the agency is unable to find replacements?

a) Profit of ₹15,000

b) Loss of ₹3,000

c) Profit of ₹6,000

d) Loss of ₹6,000

Answer: c) Profit of ₹6,000

32. A company produces packets of cereal that are packed in boxes containing 8 packets each. If the factory produces 6,480 packets in one week, and 10% of the boxes are found to have damaged packets (with each imperfect box having one packet replaced), how many boxes are shipped without any damaged packets?

a) 726

b) 810

c) 729

d) 810

Answer: c) 729
 

33. A merchant mixes 30 kg of rice costing ₹45 per kg with 20 kg of another variety costing ₹35 per kg and sells the mixture at a profit of 20%. What is the selling price per kg of the mixture?

a) ₹47.50

b) ₹51.60

c) ₹52.80

d) ₹48.00

Answer: b) ₹51.60

34. Two trains, one from city A to B and the other from B to A, start simultaneously. After they meet, the trains reach their destinations in 16 hours and 9 hours respectively. If the first train is moving at 48 km/h, what is the speed of the second train?

a) 84 km/h

b) 90 km/h

c) 72 km/h

d) 60 km/h

Answer: a) 84 km/h

35. A fruit vendor blends two types of juices – one containing 40% orange and the other 25% orange. If he wants to make 60 liters of a mixture that contains exactly 30% orange, how many liters of each should he use?

a) 20 liters of the first, 40 liters of the second

b) 36 liters of the first, 24 liters of the second

c) 24 liters of the first, 36 liters of the second

d) 30 liters of each

Answer: c) 24 liters of the first, 36 liters of the second

36. An investor deposited equal sums in two bank accounts, one at 8% per annum simple interest and the other at 6% per annum compound interest annually. At the end of 2 years, the total interest from both accounts is ₹2,296. What was the total sum invested?

a) ₹12,000

b) ₹14,000

c) ₹11,500

d) ₹13,000

Answer: a) ₹12,000

37. The ratio of the ages of A and B ten years back was 1:2, and the ratio of their present ages is 2:3. Find A's present age.

a) 20

b) 24

c) 32

d) 28

Answer: b) 24

38. A pipe can fill a swimming pool in 8 hours, but due to a leak, it takes 10 hours to fill. If the pool is full and the leak is left open, how long will it take to empty the full pool due to the leak alone?

a) 20 hours

b) 30 hours

c) 40 hours

d) 35 hours

Answer: c) 40 hours

39. From a group of three software engineers and five designers, in how many ways a team of three can be formed such that at least one designer is included in every team?

a) 56

b) 41

c) 85

d) 20

Answer: a) 56

40. In a class of 50 students, 20 like Mathematics, 32 like English, and 10 like both subjects. How many students like neither?

a) 2

b) 8

c) 10

d) 12

Answer: b) 8

MAT Quantitative Aptitude 2025

41. A jar contains a mixture of milk and water in the ratio of 7:3, respectively. A certain quantity of this mixture, equal to 15 liters, is taken out and replaced entirely with water. As a result, the new mixture has milk and water in the ratio of 7:9. What was the initial quantity of the mixture in the jar?

a) 45 liters

b) 60 liters

c) 75 liters

d) 90 liters

Answer: b) 60 liters

42. A contractor undertakes to complete a building in 60 days with the help of 40 workers. After 20 days, only 25% of the work is finished. How many additional workers must the contractor employ so that the work is completed within the scheduled time?

a) 40

b) 30

c) 32

d) 35

Answer: c) 32

43. Sunita deposits ₹20,000 in a savings bank that pays 8% interest per annum, compounded annually. At the end of two years, she withdraws the interest and deposits it in a recurring account that gives 9% simple interest for one year. What is the total interest earned at the end of three years?

a) ₹3,328

b) ₹3,546

c) ₹3,616

d) ₹3,584

Answer: d) ₹3,584

44. A manufacturer produces 600 units of product daily. He finds that 15% of the units produced are defective. If by improving the technology, the percentage of defective units can be reduced to 7.5%, how many more non-defective units will be manufactured daily?

a) 42

b) 45

c) 48

d) 50

Answer: a) 45

45. The average age of a family of five is 28 years. If the age of the youngest member (who has just joined the family) is 6 years, what was the average age of the family before the arrival of the youngest member?

a) 32

b) 31

c) 30

d) 28

Answer: a) 32

46. A trader mixes two types of rice costing ₹34/kg and ₹42/kg in the ratio 5:3. He then sells the mixture at ₹48/kg. What is his overall profit percentage?

a) 25%

b) 20%

c) 18%

d) 15%

Answer: a) 25%

47. A number when divided by 5 leaves a remainder 3, and when divided by 7 leaves a remainder 6. What is the smallest such number?

a) 38

b) 41

c) 36

d) 28

Answer: a) 38

48. A, B and C start a business. A invests ₹15,000, B invests ₹25,000, and C invests ₹35,000. After 8 months, A withdraws ₹5,000 and C adds ₹5,000 more. At the end of the year, out of a total profit of ₹21,600, what will be C's share?

a) ₹9,600

b) ₹8,000

c) ₹7,800

d) ₹9,000

Answer: a) ₹9,600

49. The present age of a father is five times the age of his son. Six years ago, the father was seven times as old as his son. What are their present ages?

a) Father 35, Son 7

b) Father 40, Son 8

c) Father 42, Son 8.4

d) Father 36, Son 7.2

Answer: b) Father 40, Son 8

50. A company’s monthly sales for January, February, March, April, and May are 240, 275, 260, 300, and 295 units, respectively. If the average sales required for the next two months to achieve an average of 280 units over seven months is to be met, how many units must be sold in total over June and July?

a) 560

b) 525

c) 550

d) 540

Answer: c) 550

51. A mixture contains alcohol and water in the ratio 7:5. If 9 liters of water are added to the mixture, the ratio turns 7:8. What is the original quantity of alcohol in the mixture?
a) 21 liters
b) 28 liters
c) 14 liters
d) 24 liters
Answer: b) 28 liters

52. Three men and six women can complete a work in 12 days. Two men and five women can complete the same work in 16 days. In how many days can one man alone do the work?
a) 32
b) 36
c) 48
d) 24
Answer: a) 32

MAT Aptitude Questions: Important Formulas for Number System

Practice the essential formulas for the number system:

Concept	Formula / Rule
Divisibility Rule (2)	Last digit is 0, 2, 4, 6, or 8.
Divisibility Rule (3)	The sum of the digits is divisible by 3.
Divisibility Rule (4)	The last two digits form a number divisible by 4.
Divisibility Rule (5)	The last digit is 0 or 5.
Divisibility Rule (6)	Divisible by both 2 and 3.
Divisibility Rule (8)	The last three digits form a number divisible by 8.
Divisibility Rule (9)	The sum of the digits is divisible by 9.
Divisibility Rule (10)	The last digit is 0.
Divisibility Rule (11)	The difference between the sum of digits at odd places and the sum of digits at even places is 0 or divisible by 11.
HCF and LCM Relation	Product of two numbers = HCF × LCM

MAT Aptitude Questions: Important Formulas for Averages 

Here are the important formulas for Averages: 

Concept	Formula
Average	Average = (Sum of all observations) / (Number of observations)
Weighted Average	Weighted Average = (w1x1 + w2x2 + ...) / (w1 + w2 + ...)

MAT Aptitude Questions: Important Formulas for Percentages 

Check out the most important formulas for percentages:

Concept	Formula
Percentage Increase	Percentage Increase = (Increase in Value / Original Value) × 100
Percentage Decrease	Percentage Decrease = (Decrease in Value / Original Value) × 100
A is what % of B	(A/B)×100

MAT Aptitude Questions: Profit and Loss

Profit and loss is one of the most important topics of the MAT aptitude questions. Here are the essential formulas for profit and loss:

Concept	Formula
Profit	Profit = SP - CP (if SP > CP)
Loss	Loss = CP - SP (if CP > SP)
Profit %	Profit % = (Profit / CP) × 100
Loss %	Loss % = (Loss / CP) × 100
Selling Price (with Profit)	SP = CP × (100 + Profit%) / 100
Selling Price (with Loss)	SP = CP × (100 - Loss%) / 100
Discount	Discount = Marked Price - Selling Price
Discount %	Discount % = (Discount / Marked Price) × 100

MAT Aptitude Questions: Important Formulas for Simple and Compound Interest

Here are the important formulas for simple and compound interest:

Concept	Formula
Simple Interest (SI)	SI = (P × R × T) / 100
Amount (SI)	Amount = P + SI
Compound Interest (CI)	Amount = P (1+R/100)T
CI (compounded half-yearly)	Amount = P (1+(R/2)/100)2T
CI (compounded quarterly)	Amount = P (1+(R/4)/100)4T
CI (for different rates)	Amount = P (1+R1/100)(1+R2/100)(1+R3/100)
Compound Interest (actual)	CI = Amount - P

MAT Aptitude Questions: Important Formulas for Ratio and Proportion

Some important formulas for ratio and proportion:

Concept	Formula
Ratio	a:b or a/b
Proportion	If a:b::c:d, then ad=bc (Product of extremes = Product of means)
Componendo	If a/b=c/d, then (a+b)/b=(c+d)/d
Dividendo	If a/b=c/d, then (a−b)/b=(c−d)/d
Componendo & Dividendo	If a/b=c/d, then (a+b)/(a−b)=(c+d)/(c−d)

MAT Aptitude Questions: Important Formulas for Time and Work

Some important formulas for time and work 

Concept	Formula
Work Done	Work Done = Time × Efficiency
Combined Work (2 people)	If A takes T1 days and B takes T2 days, together they take (T1×T2)/(T1+T2) days.
Combined Work (3 people)	If A, B, C take T1, T2, T3 days respectively, together they take (T1×T2×T3)/(T1T2+T2T3+T3T1) days.
Pipes and Cisterns	(Same as Time & Work; outlet pipes have negative efficiency)

MAT Aptitude Questions: Important Formulas for Time, Speed & Distance Formulas

Concept	Formula
Speed	Speed = Distance / Time
Distance	Distance = Speed × Time
Time	Time = Distance / Speed
Conversion (km/hr to m/s)	X km/hr=X×(5/18) m/s
Conversion (m/s to km/hr)	X m/s=X×(18/5) km/hr
Average Speed	Average Speed = (Total Distance) / (Total Time)
Relative Speed (Same Direction)	Relative Speed = $
Relative Speed (Opposite Direction)	Relative Speed = S1 + S2
Boats & Streams (Upstream Speed)	Upstream Speed = Speed in Still Water - Speed of Stream
Boats & Streams (Downstream Speed)	Downstream Speed = Speed in Still Water + Speed of Stream

MAT Aptitude Questions: Important Formulas for Algebra Formula

Formula / Identity	Expansion
(a+b)2	a2+b2+2ab
(a−b)2	a2+b2−2ab
(a2−b2)	(a−b)(a+b)
(a+b)3	a3+b3+3ab(a+b)
(a−b)3	a3−b3−3ab(a−b)
(a3+b3)	(a+b)(a2−ab+b2)
(a3−b3)	(a−b)(a2+ab+b2)
Quadratic Equation Roots	For ax2+bx+c=0, x=(−b±b2−4ac)/2a

Advantages of Solving MAT Aptitude Questions

By solving MAT aptitude test questions and answers regularly, you’ll gain several benefits:

• You’ll familiarize yourself with the exam format, making the actual test less intimidating.
• Your speed and accuracy will improve, which is crucial under the 2-hour time limit.
• Practising different types of questions helps you grasp tricky concepts better.
• You’ll identify your strong and weak areas, allowing you to focus your preparation wisely.
• This also helps you manage your time well since MAT quantitative aptitude questions often require calculations.

When you regularly practice with proper questions, you boost your exam confidence and readiness.

How to Solve MAT Aptitude Questions?

If you are preparing for the MAT exam, having the right approach to solving aptitude questions can make a huge difference in your overall score. The key is not just learning formulas but also practicing smart strategies that help you save time and maximize accuracy. Here’s a step-by-step guide you can follow:

Read the Question Carefully

Always begin by carefully reading what the question is asking. Many students lose marks because they rush through, misinterpret the information, or miss small details. Make it a habit to underline or mentally note the keywords.

Start with Easy Questions

In both practice and the real MAT exam, start with the questions you find simpler. This builds momentum and confidence, ensuring you score marks quickly before moving to tougher ones.

Use Shortcuts and Tricks

Work on perfecting common shortcuts, formulas, and mental calculation tricks. For example:

• Remember squares up to 30 and cubes up to 15.
• Use fraction–percentage conversions like 1/8 = 12.5%.
• Apply ratio and proportion shortcuts to save valuable seconds.

Practice Mental Math

The less dependent you are on pen and paper for basic steps, the faster you’ll be. Regularly practice addition, subtraction, multiplication, and square roots in your head. This skill directly boosts your efficiency in sections like Data Analysis and Quantitative Aptitude.

Balance Your Time Across Questions

Since MAT doesn’t fix sectional time limits, you have flexibility. Don’t get trapped in one difficult problem—mark it, move ahead, and return later if time permits. Managing your overall 150 minutes smartly is a big advantage in MAT.

Take Full-Length Mock Tests

Simulate exam conditions by attempting full-length mock tests under timed settings. This will not only improve your speed but also reveal your strong and weak areas, helping you fine-tune your strategy.

Be Consistent with Practice

The secret to scoring well in MAT aptitude lies in daily practice. Regularly solving a mix of easy, moderate, and tricky problems will sharpen your accuracy and reduce careless mistakes.

Conclusion 

Mastering the "Mathematical Skills" section of the MAT exam is essential for success, particularly with MAT aptitude questions. It’s not just about memorizing formulas; a deep understanding of concepts and diligent practice with various MAT quantitative aptitude questions.

• This section includes 30 critical questions, and your performance here can significantly influence your overall MAT score. 
• Consistent practice with MAT aptitude test questions and answers enhances your speed, accuracy, and confidence.
• Focus on grasping the underlying principles across topics such as number systems and geometry, and remember to manage your time effectively during your preparation.
• Success in this area comes from regular revision and completing mock tests.

This strategy will help you pinpoint your strengths and weaknesses, allowing you to refine your study approach. By continuously practicing MAT aptitude questions, you’ll position yourself to excel in the MAT and secure a spot in your dream MBA program.