45+ CMAT Quantitative Questions with Answers to Practice Now

Overview: Ace your prep with 45+ Important CMAT Quantitative Questions. Learn how to improve speed, master must-know arithmetic topics, and use mocks for a 99+ percentile!

The exam will be held on January 25, 2026, in Computer-Based Test (CBT) mode. To ace the exam with 99%ile, you should have a good practice of the important CMAT quant topics like:

These questions typically span:

✅Arithmetic:  It includes: Percentages, Profit & Loss, SI/CI

✅Algebra: Linear and Quadratic equations that test your logic.

✅Number System: Properties of numbers, HCF/LCM, and remainders.

✅Geometry & Mensuration: Formula-heavy but high-scoring areas.

✅Modern Math: Basic Probability and Permutation & Combination.

Download Free Study Material for CMAT Exam 2026 by Supergrads

Continue reading to practice the important CMAT quantitative questions here!

Which Quant topics are "Must-Practice" in the final week before CMAT?

The last seven days should be about consolidation, not learning new, complex theories. Stick to the high-weightage topics where you can pick up marks quickly.

Topic Category	Priority Areas to Review	Weightage Expectation
Arithmetic	Percentages, Ratios, Time & Work, TSD	8–10 Questions
Number System	HCF/LCM, Unit Digits, Divisibility Rules	2–4 Questions
Algebra	Quadratic Equations, Logarithms, Progressions	2–3 Questions
Geometry	Circles, Triangles, Basic Mensuration	2–3 Questions
Data Interpretation	Tables, Pie Charts, Bar Graphs	4–5 Questions

Download Free CMAT Formula Sheet by Supergrads

45+ Important Quantitative Questions to Practice Now

Here are the CMAT 2026 important quantitative topics that you must practice to score 99%ile:

1. A train running at 18 km/hr crosses a mark in 9 sec and a platform in 25 sec. If P is train length and Q is platform length, then (P, Q) are:

A) (45, 80)

B) (45, 75)

C) (50, 90)

D) (50, 80)

✅Answer: D 

2. A person travels 300 km by bus and 200 km by taxi in 5.5 hrs. If he travels 260 km by bus and 240 km by taxi in 6 min, what is the bus's speed?

A) 100 km/h

B) 120 km/h

C) 80 km/h

D) 110 km/h

✅Answer:  C 

3. In a 100 m race, A beats B by 10 m and B beats C by 5 m. By how many meters does A beat C?

A) 15 m

B) 15.5 m

C) 10.5 m

D) 14.5 m

✅Answer:  A 

4. A and B together can finish the work in 18 days; B alone in 30 days. After 5 days, C finishes the rest in 15 days. What is the total work efficiency of A + C?

A) 6 days

B) 8 days

C) 9 days

D) 5 days

✅Answer: C 

5. A train crosses a 450 m bridge in 64 seconds while running at 40.5 km/h. What is the speed in m/s?

A) 56

B) 52

C) 60

D) 64
 

✅Answer: D 

Download Important CMAT Formula Sheets PDFs Links Below

Number System Formula PDF	Download Now
Arithmetic Formula PDF	Download Now
Number Theory Formula PDF	Download Now
Quadratic Equation Formula PDF	Download Now
Inequalities Formula PDF	Download Now
Logarithms, Surds & Indices Formula PDF	Download Now
Time, Speed & Distance Formula PDF	Download Now
Linear Equations Formula PDF	Download Now
Ratio, Proportion & Variations Formula PDF	Download Now
Simple Interest - Compound Interest Formula PDF	Download Now
Profit & Loss Formula PDF	Download Now

6. A man and a woman together do a work in 66 days with a ratio of efficiencies of 3:2. In how many days can 6 men and 2 women do the work?

A) 18

B) 15

C) 14

D) 12
 

✅Answer: B 

7. Fatima sells 60 toys at 40% discount and makes 20% profit. If 10 are destroyed, what discount on the remaining to retain the same profit?

A) 30%

B) 25%

C) 24%

D) 28%
 

✅Answer: D 

8. A dealer mixes dry fruits in the ratio 3:4:5 and sells at 50% profit. What is the selling price (Rs/kg)?

A) 80

B) 100

C) 95

D) None
 

✅Answer:  B 

Read More: Practice CMAT mock tests

9. A shopkeeper claims the cost price but uses false weight and gains 20%. What weight does he use for 1 kg?

A) 733⅓ g

B) 750 g

C) 833⅓ g

D) 850 g
 

✅Answer:  C 

10. Price of a car rises by 30%, but sales drop 20%. What’s the  % change in revenue?

A) –4%

B) –2%

C) +4%

D) +2%
 

✅Answer:  A 

11. A sum becomes Rs. 625 in 2 yrs and Rs. 675 in 3 yrs with CI. What is the rate?

A) 7%

B) 8%

C) 6%

D) 5%
 

✅Answer: D 

12. Three men X, Y start work… (Salary Qn). Answer: Rs. 93,200 (from profit example).

A) ₹93,300

B) ₹93,200

C) ₹93,100

D) None

✅Answer:  B 

Check Now: CMAT 2026 Eligibility Criteria

13. A bag has 6 red, 11 yellow, and 5 pink balls. If 2 are drawn one after another, what is the probability of red, then yellow?

A) 3/14

B) 5/7

C) 1/7

D) 1/14

✅Answer:  A 

14. In a bag of 15 red & 10 green balls, the probability of 2 red & 1 green when 3 are drawn?

A) 21/46

B) 25/117

C) 3/25

D) 1/50
 

✅Answer:  A 

15. A glass jar has 1 red, 3 green, 2 blue, and 4 yellow marbles. Probability of yellow or green?

A) 1/5

B) 3/10

C) 7/10

D) 3/10

✅Answer: C 

16. Number of journey tickets between 10 stations?

A) 92

B) 90

C) 91

D) 93
 

✅Answer: B 

17. A 30 m ladder is placed with a horizontal distance 1/3rd ladder. Height of the wall?

A) 25 m

B) 20√2 m

C) 20√3 m

D) 20 m
 

✅Answer: B 

18. In ΔABC, midpoints D, E, F of sides: ratio of areas of ΔDEF to ΔABC?

A) 1:4

B) 1:2

C) 2:3

D) 4:5
 

✅Answer: A 

Read Now: How to download CMAT Admit Card 2026?

19. A can complete a work in 12 days, and B can complete the same work in 18 days. In how many days will they complete the work together?

A) 6 days

B) 7.2 days

C) 8 days

D) 9 days

✅ Answer: B

20. Cylinder of radius 4 cm of water. A sphere of radius 3 cm is immersed. Rise in water level?

A) 2/9 cm

B) 4/9 cm

C) 9/4 cm

D) 9/2 cm
 

✅Answer: C 

21. A copper wire 243 m long becomes a sphere. Diameter of sphere?

A) 17 m

B) 18 cm

C) 15 cm

D) 20 cm
 

✅Answer: B 

22. Longest distance between two points on a cylinder with height 8 and radius 8?

A) 8√5

B) 16√5

C) 8√2

D) 8√3
 

✅Answer: A 

23. Three cubes sides 1, 6, 8 are melted to form new cube. Surface area?

A) 729 cm²

B) 486 cm²

C) 125 cm²

D) 529 cm²
 

✅Answer: B 

24. Product of ages is 240. If twice Sharma’s age is 4 more than Harris’s… Sharma’s age?

A) 12

B) 20

C) 10

D) 14
 

✅Answer: A 

25. A car covers the first half of a journey at 40 km/h and the second half at 60 km/h. What is the average speed for the entire journey?

A) 48 km/h

B) 50 km/h

C) 45 km/h

D) 52 km/h

✅ Answer: A

26. A train 120 m long passes a man standing on a platform in 6 seconds. What is the speed of the train?

A) 60 km/h

B) 72 km/h

C) 80 km/h

D) 90 km/h

✅ Answer: B

27. A can do a piece of work in 10 days and B in 15 days. In how many days can they complete the work together?

A) 5 days

B) 6 days

C) 7 days

D) 8 days

✅ Answer: B

28. If a shopkeeper gives a discount of 20% on the marked price and still makes a profit of 20%, the marked price is what percentage above the cost price?

A) 25%

B) 40%

C) 50%

D) 60%

✅ Answer: C

29. A sum of money becomes ₹1,200 in 2 years at simple interest and ₹1,500 in 5 years. What is the principal?

A) ₹900

B) ₹1,000

C) ₹1,100

D) ₹1,200

✅ Answer: B

30. If cost price = ₹500 and selling price = ₹600, what is the profit percentage?

A) 15%

B) 18%

C) 20%

D) 25%

✅ Answer: C

31. The average of 5 numbers is 20. If one number is excluded, the average becomes 18. What is the excluded number?

A) 26

B) 28

C) 30

D) 32

✅ Answer: B

32. The ratio of boys to girls in a class is 3:2. If there are 15 boys, how many girls are there?

A) 8

B) 10

C) 12

D) 15

✅ Answer: B

33. A mixture contains milk and water in the ratio 4:1. How much water should be added to 25 litres of the mixture to make the ratio 2:1?

A) 2.5 litres

B) 3 litres

C) 4 litres

D) 5 litres

✅ Answer: A

34. The radius of a circle is doubled. How does the area change?

A) Becomes double

B) Becomes four times

C) Becomes eight times

D) Remains the same

✅ Answer: B

35. What is the area of a rectangle whose length is 12 cm and breadth is 8 cm?

A) 84 cm²

B) 90 cm²

C) 96 cm²

D) 100 cm²

✅ Answer: C

36. The side of a square is increased by 20%. By what percentage does its area increase?

A) 20%

B) 36%

C) 40%

D) 44%

✅ Answer: B

37. What is the smallest number divisible by 6, 8, and 12?

A) 12

B) 18

C) 24

D) 48

✅ Answer: C

38. If a number is divisible by both 9 and 12, it must be divisible by:

A) 18

B) 24

C) 36

D) 48

✅ Answer: C

39. A die is thrown once. What is the probability of getting an even number?

A) 1/6

B) 1/3

C) 1/2

D) 2/3

✅ Answer: C

40. A train travels 360 km at a speed of 60 km/h and returns at a speed of 90 km/h. What is the average speed for the whole journey?

A) 72 km/h

B) 75 km/h

C) 80 km/h

D) 84 km/h

✅ Answer: B

41. A shopkeeper sells an article at a loss of 10%. If the cost price was ₹800, what is the selling price?

A) ₹720

B) ₹740

C) ₹750

D) ₹780

✅ Answer: A

42. A sum of ₹5,000 is invested at 10% per annum compound interest for 2 years. What is the amount after 2 years?

A) ₹6,000

B) ₹6,050

C) ₹6,100

D) ₹6,200

✅ Answer: C

43. The average age of 10 students is 15 years. If one student aged 20 years leaves the group, what will be the new average age?

A) 14.2 years

B) 14.5 years

C) 15 years

D) 15.5 years

✅ Answer: A

44. Milk and water are mixed in the ratio 5:1. If 6 litres of water are added, the ratio becomes 5:2. What was the original quantity of the mixture?

A) 18 litres

B) 24 litres

C) 30 litres

D) 36 litres

✅ Answer: B

45. What is the circumference of a circle of radius 7 cm? (Use π = 22/7)

A) 22 cm

B) 44 cm

C) 88 cm

D) 154 cm

✅ Answer: B

46. The volume of a cube is 216 cm³. What is the length of its edge?

A) 4 cm

B) 5 cm

C) 6 cm

D) 8 cm

✅ Answer: C

47. What is the unit digit of (7^{45})?

A) 1

B) 3

C) 7

D) 9

✅ Answer: D

48. Two coins are tossed at the same time. What is the probability of getting at least one head?

A) 1/4

B) 1/3

C) 1/2

D) 3/4

✅ Answer: D

How to Improve the Speed and Accuracy in the CMAT Quantitative section?

Accuracy is non-negotiable due to negative marking, but speed is what gets you through the full paper without panic. Here are some human-tested CMAT preparation tips:

✅Memorise the "Power Basics"

You should know squares up to 30, cubes up to 15, and reciprocal-to-percentage conversions (like 1/7 = 14.28%) by heart. This saves crucial seconds during calculation.

✅The "Easy-First" Rule

Scan the section and knock out the "sitters" questions that take less than 45 seconds. This builds momentum and ensures you don't miss easy marks.

✅Use Approximation in DI

For Data Interpretation, you don't always need the exact value. Look at the options first; if they are far apart, use rounding to find the answer faster.

✅Use the Elimination Method

Sometimes, plugging the options back into the question is faster than solving the entire equation. If an option doesn't fit the parity (odd/even) or the range, toss it out.

How do CMAT mock tests bridge the gap between "good" and "great" performance?

You might be a wizard at solving individual questions, but doing it under a 180-minute clock is a different beast. This is where CMAT mock tests become your best friend.

✅Understanding the Exam Pattern

CMAT mock test helps you understand the main exam structure, difficulty level, and number of questions.

✅Stamina Building

Sitting for three hours straight requires mental endurance. Mocks train your brain to stay sharp even in the final hour.

✅Strategic Testing

Use mocks to decide your section order. Should you start with your strength (Quant) or get the "memory-based" sections like GK and Innovation & Entrepreneurship out of the way first?

✅Performance Analysis

A mock is useless if you don't analyse it. Spend at least two hours reviewing every wrong answer to understand if it was a "silly mistake," a "conceptual gap," or a "time-trap."

✅Managing the "Variable" Difficulty

CMAT difficulty can fluctuate. Mocks prepare you to handle a tougher-than-average Quant section without losing your cool.