CMAT 2025 Quantitative Techniques & Data Interpretation: Practice with Sample Questions

CMAT Quantitative Techniques & Data Interpretation is a very important section of the CMAT examination and often is the most decisive as well. Therefore having a solid idea before on CMAT quants questions is mandatory for each candidate before they attempt the actual CMAT examination. The Quantitative Techniques & Data Interpretation (QT & DI) section of the Common Management Admission Test (CMAT) is important for testing candidates' numerical reasoning and analytical abilities. In this article, we’ll go through various CMAT Quantitative Techniques & Data Interpretation sample questions.

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1. CMAT Quantitative Techniques & Data Interpretation Sample Questions
2. CMAT 2024 Quantitative Techniques & Data Interpretation Questions
3. CMAT Quantitative Aptitude & Data Interpretation Preparation Book
4. CMAT Quantitative Techniques & Data Interpretation Syllabus
5. CMAT Quantitative Techniques & Data Interpretation Preparation Tips
6. CMAT Quantitative Techniques & Data Interpretation Best Books
7. Download Free CMAT Quantitative Techniques & Data Interpretation MCQ PDFs

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CMAT Quantitative Techniques & Data Interpretation Sample Questions

To do well in the Quantitative Techniques & Data Interpretation part of the CMAT test, you need to understand the concepts, practice, and manage your time well.

Thorough practice and a clear understanding of fundamental concepts of different topics such as percentage calculation, profit and loss, time and work etc. are essential to excel in this section.

By practicing different types of CMAT quants questions and improving their problem-solving abilities, candidates can do better and have a higher chance of success in the CMAT exam.

Check out below some of the CMAT Quantitative Techniques & Data Interpretation sample questions:

Instructions [1 - 5 ]

1. Directions: The following table gives the population of a locality from 1988 to 1992. Read the table and answer the question.

The number of children in 1988 was:

A. 31236

B. 125491

C. 14546

D. 21456

Answer: D

Explanation: The number of children in 1988 = 146947 – 65104 – 60387 = 21456. Hence, the answer is 21456.

2. Directions: The following table gives the population of a locality from 1988 to 1992. Read the table and answer the question

The total population in 1989 was:

A. 144537

B. 158577

C. 146947

D. 149637

Answer: B

Explanation: Total population in 1989 = 146947 + 11630 = 158577. Hence, the answer is 158577

3. Directions: The following table gives the population of a locality from 1988 to 1992. Read the table and answer the question.

The number of children in 1989 was:

1. 25670

2. 14040

3. 13970

4. 15702

Answer: A

Explanation: Total population in 1989 = 146947 + 11630 = 158577

The number of children in 1989 = 158577 – 70391 – 62516 = 25670

Hence, the answer is 25670.

4.Directions: The following table gives the population of a locality from 1988 to 1992. Read the table and answer the question.

The number of women in 1991 was:

1. 57630

2. 56740

3. 52297

4. 62957

Answer: A

Explanation: Total population in 1991 = 153922 – 5337 = 148585

The number of women in 1991 = 148585 – 69395 – 21560 = 57630

Hence, the answer is 57630.

5. Directions: The following table gives the population of a locality from 1988 to 1992. Read the table and answer the question.

The increase or decrease in population in 1992 over 1991 was:

1. -(12413)

2. +(12413)

3. +(155661)

4. +(7086)

Answer: B

Explanation: Total population in 1991 = 153922 – 5337 = 148585

Total population in 1992 = 160998

Increase in population = 160998 – 148585 = 12413

Hence, the answer is +12413.

6. A certain amount of money at compound interest grows to ₹66,550 in 3 years and ₹73,205 in 4 years. The rate percent per annum is:

1. 10%

2. 9%

3. 5%

4. 11%

7. Which of the following statement is true?

1. A rational number is also an integer.

2. A number is either a rational number or an irrational number, but not both.

3. All whole number is also a natural number.

4. None of the statement is true

Answer: B

Explanation: FALSE

Integer is subset of rational number

2.5 is rational number but not an integer

2) TRUE

Rational Number: Number that can be expressed in the form of where .P/Q where Q is not equal to 0.

and Irrational Number: Number that can not be expressed in the form of where .P/Q where Q is not equal to 0.

3) FALSE

0 is whole number but not a natural number

8. The number 2918245 is divisible by which of the following numbers?

1. 3

2. 11

3. 12

4. 9

Answer: B

Explanation: Given number = 2918245

Divisibility rule for 3: A number is completely divisible by 3 if the sum of its digits is divisible by 3

⇒ 2 + 9 + 1 + 8 + 2 + 4 + 5

⇒ 31 which is not divisible by 3

⇒ The given number will not be divisible by 12 and 9 either.

Divisibility rule for 11: The difference between the sum of digits at the odd position and the sum of digits at the even position in a number is 0 or 11.

⇒ (2 + 1 + 2 + 5) - (9 + 8 + 4)

⇒ 10 - 21

⇒ -11, which is divisible by 11.

Hence, the correct answer is 11.

9. Sum of terminating and non-terminating repeating decimal is?

1. Terminating Decimal

2. Non-terminating decimal

3. Non-terminating repeating decimal

4. None of the above

Answer: B

Explanation: Properties of Rational Number -

Sum of terminating and non-terminating repeating decimal is always non-terminating decimal

10. X, Y and Z enter into a partnership. X invests some money at the beginning. Y invests thrice the amount of X after 4 months and Z invest double the amount of Y after 9 months from the beginning. If the annual gain is INR 450000, then what is the share of Y?

1. INR 200000

2. INR 150000

3. INR 100000

4. INR 300000

Answer: A

Explanation: Let x be the amount invested by X.

Investment ratio

= x×12 : 3x×8 : 6x×3

= 12 : 24 : 18

= 2 : 4 : 3

Profit ratio = investment ratio = 2:4:3

Total gain = INR 450000

Share of Y = \frac{4}{2+4+3} × 450000

= 4 × 50000

= INR 200000

Hence, the answer is INR 200000.

11. Sonam bought an old motorbike for Rs. 4675 and spent Rs. 225 on its repair. Then she sold it in Rs. 5390 . What is her profit percent?

1. 20%

2. 15%

3. 10%

4. 8%

Answer: C

Explanation: Given: Sonam bought an old motorbike for Rs. 4675

Spent on repairing = Rs. 225

Cost price = 4675 + 225 = 4900

Selling Price = Rs. 5390

Percentage Profit = [(Selling Price - Cost Price) / Cost Price] × 100
= [(5390 - 4900) / 4900] × 100
= (490 / 4900) × 100
= 10% profit.

= 10

Hence, the correct answer is 10%

12. The difference between compound interest and simple interest on Rs. x at 25% per annum for 2 years is Rs. 325. Find the value of x.

1. Rs. 5200

2. Rs. 4000

3. Rs. 5300

4. Rs. 2400

Answer: A

Explanation: Given: Principal, = Rs. x

Rate, = 25%

Time = 2 years

Difference between Simple interest and compound interest = P × (r / 100)²

⇒ 325 = x × (25 / 100)²
⇒ 325 = x / 16
∴ x = 5200

Hence, the correct answer is Rs. 5200.

13. What is the product of the two numbers whose HCF is 7 and LCM is 280 ?

1. 1980

2. 980

3. 3920

4. 1960

Answer: D

Explanation: The product of two numbers is equal to the product of their highest common factor (HCF) and least common multiple (LCM).

So, if the HCF is 7 and the LCM is 280.

The product of the two numbers = 7 × 280 = 1960

Hence, the answer is 1960.

14. The average weight of the 25 members of the group is 39 kg. The average weight of 27 members of another group is 21 kg. What will be the total weight of the members of both groups?

1. 1426 kg

2. 1542 kg

3. 1507 kg

4. 1714 kg

Answer: B

Explanation:

The average weight of 25 members of a group = 39 kg

Total weight of 25 members of a group = 39 × 25 = 975 kg

The average weight of 27 members of another group = 21 kg

Total weight of 27 members of another group = 21 × 27 = 567 kg

The total weight of the members of both groups = 975 + 567 = 1542 kg

Hence, the answer is 1542 kg.

15. Find the weight of a cylindrical iron container with a base of radius 12.6 cm and height is 4 m, where the weight of 1 cm2 of iron is 2 grams.

1. 299.284 kg

2. 199.584 kg

3. 399.168 kg

4. 499.482 kg

Answer: C

Explanation:

The radius of the cylinder, = 12.6 cm

Height, = 4 m = 400 cm

Volume of a cylinder = πr²h = (22 / 7) × (12.6)² × 400 cm²

The weight of 1 cm2 of iron is 2 grams.

Total weight of the iron = = (22 / 7) × (12.6)² × 400 × 2
= 399168 grams
= 399.168 kg

Hence, the correct answer is 399.168 kg.

16. When a number is increased by 112, it becomes 170% of itself. Find the number.

1. 160

2. 150

3. 200

4. 180

Answer: A

Explanation:

. Let the number be x.

According to the question,

x + 112 = x × (170 / 100)
⇒ 10x + 1120 = 17x
⇒ 7x = 1120
∴ x = 160

Hence, the correct answer is 160.

17. The length, breadth, and height of a cuboid are 4 cm, 6 cm, and 10 cm respectively. Find the total surface area.

1. 248 cm2

2. 244 cm2

3. 144 cm2

4. 222 cm2

Answer: A

Explanation: Given: The length, breadth, and height of a cuboid are 4 cm, 6 cm, and 10 cm respectively.

The total surface area of the cuboid of the length l, breadth b, and height h is

2 × (4 × 6 + 6 × 10 + 10 × 4) = 2 × (24 + 60 + 40)
2 × 124 = 248 cm²

Hence, the correct answer is 248 cm2

18. A man takes 20 hours to go to a place and come back by walking both ways. He could have saved 4 hours by riding both ways. The distance covered in the whole journey is 36 miles. Find the average speed for the whole journey if he goes by walking and comes back by riding.

1. 2 miles/hr

2. 1 miles/hr

3. 4 miles/hr

4. 3 miles/hr

Answer: A

Explanation: Given: A man takes 20 hours to go to a place and come back by walking both ways.

Use the formula, Average speed = Distance / Time.

Walking both trips at a steady speed has taken 10 hours.

Walking one way at a constant speed takes = 10/2 = 5 hours.

He travelled both ways and gained 2 hours.

Time spent riding both ways at a steady speed = 10 – 8 = 2 hours.

The total time spent riding one way = 8/2 = 4 hours.

If he walks and rides, the total time required = 5 + 4 = 9 hours.

The total distance travelled = 18 miles.

The average speed = 18 / (5 + 4) = 18 / 9 = 2 miles/hr.

Hence, the correct answer is 2 miles/hr.

19. The sum of the two numbers is 400. If the bigger member is decreased by 16% and the smaller number is increased by 16%, then the numbers obtained are equal. Find the smaller number.

1. 168

2. 152

3. 144

4. 170

Answer: A

Explanation: Given: The sum of the two numbers is 400.

Let the bigger number and the smaller number be x and y respectively. (Equation 1)

According to the question,

x - 0.16x = y + 0.16y
⇒ 0.84x = 1.16y
⇒ x = 1.38y

Substitute the value in equation 1,

1.38y + y = 400
⇒ 2.38y = 400
⇒ y = 168

Hence, the correct answer is 168.

20. What is the ratio between the HCF and LCM of the numbers whose LCM is 48 and the product of the numbers is 384?

1. 1 : 4

2. 1 : 6

3. 1 : 3

4. 2 : 5

Answer: B

Explanation: Let the HCF be a.

We know that,

HCF × LCM = Product of two numbers

⇒ 48 × a = 384

⇒ a = 384/48

⇒ a = 8

HCF : LCM = 8 : 48

= 1 : 6

Hence, the correct answer is 1 : 6.

CMAT 2024 Quantitative Techniques & Data Interpretation Questions

The candidates can refer to the questions asked in the actual 2024 CMAT test.

Question 1:
The number of girls who opted Mechanical is how much percent of the number of students who opted Electronics?

1. 75%

2. 80%

3. 85%

4. 90%

Question 2:
Ramesh invests ₹1,200 at 5% simple interest. How much additional money must he invest at 8% simple interest so that his total annual income will be equal to 6% of his total investment during this year?

1. ₹500

2. ₹600

3. ₹1,200

4. ₹1,500

Question 3:
A cylindrical vessel of radius 4 cm contains water. A solid sphere of 3 cm radius is lowered into the water until it is completely immersed. The water level in the vessel will rise by:

1. 2/9 cm

2. 4/9 cm

3. 9/4 cm

4. 9/2 cm

Question 4:
Given below are two statements:

Statement I:
Ram and Shyam can finish a task by working together in 6 days. If Shyam can finish the task by working alone in 8 days, then Ram alone will take 24 days to finish it.

Statement II:
If 6 persons working 8 hours a day earn ₹8,400 per week, then 9 persons working 6 hours a day will earn ₹9,450 per week.

In the light of the above statements, choose the correct answer from the options given below:

1. Both Statement I and Statement II are true

2. Both Statement I and Statement II are false

3. Statement I is true but Statement II is false

4. Statement I is false but Statement II is true

Question 5:
A glass jar contains 1 red, 3 green, 2 blue, and 4 yellow marbles. If a single marble is chosen at random from the jar:

(A) Probability of getting a yellow marble is 1/5
(B) Probability of getting a green marble is 3/10
(C) Probability of getting either a yellow or a green marble is 7/10
(D) Probability of getting either a red or a yellow marble is 3/10

Choose the correct answer from the options given below:

1. (A) and (D) only

2. (B) and (C) only

3. (A) and (C) only

4. (B) and (D) only

Question 6:
Arrange the following in increasing order:

(A) 16 2/3 %
(B) 2/15
(C) 0.17
(D) 0.25 % of 64

Choose the correct answer from the options given below:

1. B < D < A < C

2. A < D < B < C

3. C < D < B < A

4. A < C < D < B

Question 7:
A dishonest dealer sells his goods at 10% loss on cost price and uses 30% less weight. What is his profit or loss percentage?

1. 28 4/7 % loss

2. 28 3/7 % profit

3. 28 3/7 % loss

4. 28 4/7 % profit

Question 8:
Find the number of permutations that can be made from the letters of the word OMEGA, if the vowels occupy odd places.

1. 12 ways

2. 6 ways

3. 16 ways

4. 20 ways

Question 9:
A train traveling at 48 km/h completely crosses another train having half the length of the first train and traveling in the opposite direction at 42 km/h in 12 seconds. The train having a speed of 48 km/h also passes a railway platform in 45 seconds. What is the length of the platform?

1. 600 m

2. 300 m

3. 400 m

4. 200 m

Question 10:
A certain amount of money at compound interest grows to ₹66,550 in 3 years and ₹73,205 in 4 years. The rate percent per annum is:

1. 10%

2. 9%

3. 5%

4. 11%

CMAT Quantitative Aptitude & Data Interpretation Preparation Book

The candidates in need of more practice can download and study the ebooks given below.

CMAT Quantitative Techniques & Data Interpretation Syllabus

The list give below precisely describes the most important topics that comes in the Quantitative Techniques and Data Interpretation section of CMAT exam. Students must go through the syllabus before preparing for CMAT exam 2025.

CMAT Quantitative Techniques & Data Interpretation Preparation Tips

• Make sure you are well-versed in all the basic concepts of topics like algebra, arithmetic, and geometry.

• Make concise notes of important formulas, rules, and concepts for quick revision.

• Practice a lot of questions from each topic to improve your speed and accuracy. Use sample papers and CMAT quantitative questions with solutions PDFs.

• Try some calculation short tricks and methods to save time while solving questions.

• Take mock tests and analyze them to identify your strengths and weaknesses.

CMAT Quantitative Techniques & Data Interpretation Best Books

Download Free CMAT Quantitative Techniques & Data Interpretation MCQ PDFs