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100+ CAT Quant Questions with Solutions Free PDF Download

Author : Komal Tabhane

September 10, 2026

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Looking for CAT Quant questions to practise? This page brings you 100+ CAT-level QA questions covering Arithmetic, Algebra, Number System, and Geometry, along with answers, solutions, and free PDFs.

Practise topic-wise questions, check the CAT QA weightage, and use the quick tips to improve your attempts. Whether you’re preparing for CAT 2026 or revising at the last minute, these questions will help you build speed, accuracy, and confidence.

CAT Exam

This blog brings together 100 CAT Quantitative Aptitude questions covering all the important topics, along with answers, topic-wise weightage, difficulty levels, and useful preparation tips. Whether you’re just starting your CAT preparation or doing a quick revision before the exam, practising these CAT aptitude questions can help you strengthen your concepts, improve your speed, and boost accuracy.

You can also check CAT Previous Year Papers to understand the exam pattern, question types, and level of questions asked in CAT.

What Are CAT Quant Questions?

CAT Quant questions are asked in the Quantitative Aptitude (QA) section of the CAT exam. These questions check how well you understand basic maths concepts and how effectively you can apply them to solve problems. Instead of just testing formulas, CAT focuses more on your ability to think logically and find the right approach.

The CAT Quant section mainly includes questions from:

  • Arithmetic
  • Algebra
  • Geometry
  • Number System
  • Modern Mathematics

CAT Quant is different from the maths you usually see in school exams. The questions are more focused on concepts, practical application, and problem-solving rather than long and complicated calculations.

Topic-wise CAT Quant Questions with Solutions PDF Download

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

100+ CAT Quant Questions with Solutions

The following CAT quantitative aptitude questions are modelled on the actual CAT Exam Pattern and calibrated to CAT difficulty. Work through each topic block systematically and review answers immediately to build genuine reasoning clarity.

ARITHMETIC — 20 Questions

Q1. A trader marks goods 40% above cost price and offers a 20% discount. What is the profit percentage?

  1. A) 8%
  2. B) 10%
  3. C) 12%
  4. D) 15%

Answer: C) 12%

Q2. Two pipes A and B fill a tank in 12 and 18 hours. Pipe C empties it in 36 hours. If all three are open, how long to fill the tank?

  1. A) 9 hrs
  2. B) 10 hrs
  3. C) 11 hrs
  4. D) 12 hrs

Answer: A) 9 hrs

Q3. If 20% of A = 30% of B, then A : B is:

  1. A) 2:3
  2. B) 3:2
  3. C) 4:5
  4. D) 5:4

Answer: B) 3:2

Q4. Train A of length 200 m passes a platform of 300 m in 25 seconds. What is its speed in km/h?

  1. A) 72
  2. B) 80
  3. C) 90
  4. D) 100

Answer: A) 72 km/h

Q5. A sum doubles in 8 years at simple interest. In how many years will it triple?

  1. A) 12
  2. B) 16
  3. C) 18
  4. D) 20

Answer: B) 16 years

Q6. A mixture of 60 litres contains milk and water in ratio 7:3. How many litres of water must be added to make it 3:7?

  1. A) 60
  2. B) 70
  3. C) 80
  4. D) 90

Answer: C) 80 litres

Q7. If the selling price of 20 articles equals the cost price of 25 articles, the profit percentage is:

  1. A) 20%
  2. B) 25%
  3. C) 30%
  4. D) 35%

Answer: B) 25%

Q8. A boat goes 30 km upstream in 3 hours and 30 km downstream in 2 hours. The speed of the current is:

  1. A) 2 km/h
  2. B) 2.5 km/h
  3. C) 3 km/h
  4. D) 3.5 km/h

Answer: B) 2.5 km/h

Q9. A, B, C complete work in 10, 15, 20 days. They start together but A leaves after 2 days. How many more days do B and C take?

  1. A) 4.5
  2. B) 5
  3. C) 5.5
  4. D) 6

Answer: A) 4.5 days

Q10. A shopkeeper gives 2 articles free on purchase of 10. The effective discount percentage is:

  1. A) 15%
  2. B) 16.67%
  3. C) 18%
  4. D) 20%

Answer: B) 16.67%

Q11. Population increases 10% in year 1 and decreases 10% in year 2. Net percentage change is:

  1. A) 0%
  2. B) −1%
  3. C) +1%
  4. D) −2%

Answer: B) −1%

Q12. Two cars cover the same distance in 5 and 6 hours. If the faster car's speed is 12 km/h more, find the distance.

  1. A) 240 km
  2. B) 300 km
  3. C) 360 km
  4. D) 420 km

Answer: C) 360 km

Q13. Compound interest on ₹10,000 at 10% p.a. for 2 years exceeds simple interest by:

  1. A) ₹50
  2. B) ₹100
  3. C) ₹150
  4. D) ₹200

Answer: B) ₹100

Q14. In what ratio must rice at ₹45/kg be mixed with rice at ₹60/kg so the mixture costs ₹50/kg?

  1. A) 1:2
  2. B) 2:1
  3. C) 2:3
  4. D) 3:2

Answer: B) 2:1

Q15. A man spends 75% of his income and saves ₹3,000. His monthly income is:

  1. A) ₹9,000
  2. B) ₹10,000
  3. C) ₹12,000
  4. D) ₹15,000

Answer: C) ₹12,000

Q16. A is twice as efficient as B. Together they finish work in 10 days. How long for A alone?

  1. A) 12
  2. B) 15
  3. C) 18
  4. D) 20

Answer: B) 15 days

Q17. The average of 5 numbers is 40. If one is excluded, the average drops to 35. The excluded number is:

  1. A) 55
  2. B) 60
  3. C) 65
  4. D) 70

Answer: B) 60

Q18. A train crosses a pole in 9 seconds and a 240 m bridge in 21 seconds. The length of the train is:

  1. A) 160 m
  2. B) 170 m
  3. C) 180 m
  4. D) 200 m

Answer: C) 180 m

Q19. A dealer buys at 20% discount on MRP and sells at 10% discount. His profit percentage is:

  1. A) 10%
  2. B) 11%
  3. C) 12.5%
  4. D) 15%

Answer: C) 12.5%

Q20. The difference between a two-digit number and the number formed by reversing its digits is 36. How many such numbers are possible?

  1. A) 4
  2. B) 5
  3. C) 6
  4. D) 7

Answer: C) 6

ALGEBRA — 20 Questions

Q21. If x + 1/x = 3, find x² + 1/x².

  1. A) 7
  2. B) 8
  3. C) 9
  4. D) 11

Answer: A) 7

Q22. The sum of roots of 2x² − 5x + 3 = 0 is:

  1. A) 3/2
  2. B) 5/2
  3. C) 5
  4. D) 2

Answer: B) 5/2

Q23. If f(x) = x² − 3x + 2, find f(f(0)).

  1. A) 0
  2. B) 2
  3. C) 6
  4. D) 12

Answer: B) 2

Q24. The 10th term of an AP is 52 and the 3rd term is 10. The common difference is:

  1. A) 4
  2. B) 5
  3. C) 6
  4. D) 7

Answer: C) 6

Q25. Find the sum of the first 20 terms of the AP: 5, 8, 11, …

  1. A) 650
  2. B) 670
  3. C) 680
  4. D) 700

Answer: C) 680

Q26. For what value of k does kx² + 4x + 4 = 0 have equal roots?

  1. A) 0
  2. B) 1
  3. C) 2
  4. D) 4

Answer: B) 1

Q27. A GP has first term 3 and common ratio 2. The 6th term is:

  1. A) 64
  2. B) 96
  3. C) 128
  4. D) 192

Answer: B) 96

Q28. Solve: |2x − 5| ≤ 9. The solution set is:

  1. A) −2 ≤ x ≤ 7
  2. B) −2 < x < 7
  3. C) x ≤ −2 or x ≥ 7
  4. D) None

Answer: A) −2 ≤ x ≤ 7

Q29. If log 2 = 0.301 and log 3 = 0.477, the value of log 12 is:

  1. A) 1.079
  2. B) 1.102
  3. C) 0.985
  4. D) 1.380

Answer: A) 1.079

Q30. How many integers x satisfy x² − 5x − 6 < 0?

  1. A) 3
  2. B) 4
  3. C) 5
  4. D) 6

Answer: C) 5

Q31. The product of two consecutive even integers is 288. The larger integer is:

  1. A) 16
  2. B) 18
  3. C) 20
  4. D) 22

Answer: B) 18

Q32. If a + b = 10 and ab = 16, then a² + b² is:

  1. A) 68
  2. B) 72
  3. C) 84
  4. D) 100

Answer: A) 68

Q33. Find x if 3^(2x−1) = 27.

  1. A) 1
  2. B) 2
  3. C) 3
  4. D) 4

Answer: B) 2

Q34. If the AM of two numbers is 10 and their GM is 8, the numbers are:

  1. A) 4 & 16
  2. B) 2 & 18
  3. C) 6 & 14
  4. D) 8 & 12

Answer: A) 4 & 16

Q35. The sum of an infinite GP is 12 and its first term is 4. The common ratio is:

  1. A) 1/3
  2. B) 1/2
  3. C) 2/3
  4. D) 3/4

Answer: C) 2/3

Q36. The number of real roots of x⁴ − 5x² + 4 = 0 is:

  1. A) 2
  2. B) 4
  3. C) 1
  4. D) 0

Answer: B) 4

Q37. If f(x) = (x+2)/(x−3), then f⁻¹(x) is:

  1. A) (3x+2)/(x−1)
  2. B) (3x−2)/(x+1)
  3. C) (x+3)/(x−2)
  4. D) None

Answer: A) (3x+2)/(x−1)

Q38. The expression (x² − 9)/(x − 3) equals x + 3 for:

  1. A) All integers except x = 3
  2. B) Only even integers
  3. C) Only odd integers
  4. D) No integers

Answer: A) All integers except x = 3

Q39. The sum of all values of x satisfying x² − |x| − 6 = 0 is:

  1. A) 0
  2. B) 1
  3. C) −1
  4. D) 3

Answer: A) 0

Q40. If α and β are roots of x² − px + q = 0, then α² + β² equals:

  1. A) p² − 2q
  2. B) p² + 2q
  3. C) 2p − q
  4. D) p − 2q

Answer: A) p² − 2q

NUMBER SYSTEM — 20 Questions

Q41. The remainder when 2^100 is divided by 3 is:

  1. A) 0
  2. B) 1
  3. C) 2
  4. D) 3

Answer: B) 1

Q42. HCF of 72, 108, and 180 is:

  1. A) 18
  2. B) 24
  3. C) 36
  4. D) 54

Answer: C) 36

Q43. The number of factors of 360 is:

  1. A) 18
  2. B) 20
  3. C) 24
  4. D) 30

Answer: C) 24

Q44. The units digit of 7^95 is:

  1. A) 1
  2. B) 3
  3. C) 7
  4. D) 9

Answer: C) 7

Q45. LCM of two numbers is 120 and HCF is 10. If one number is 40, the other is:

  1. A) 20
  2. B) 25
  3. C) 30
  4. D) 35

Answer: C) 30

Q46. Two-digit numbers divisible by both 3 and 5:

  1. A) 5
  2. B) 6
  3. C) 7
  4. D) 8

Answer: B) 6

Q47. The remainder when 17 × 19 × 23 is divided by 7 is:

  1. A) 1
  2. B) 2
  3. C) 3
  4. D) 4

Answer: C) 3

Q48. A number when divided by 5, 6, and 8 leaves remainder 4. The smallest such number is:

  1. A) 84
  2. B) 116
  3. C) 124
  4. D) 244

Answer: C) 124

Q49. Prime numbers between 50 and 80:

  1. A) 5
  2. B) 6
  3. C) 7
  4. D) 8

Answer: C) 7

Q50. N = 2^a × 3^b × 5^c has 18 factors with a > b > c. The minimum value of N is:

  1. A) 180
  2. B) 360
  3. C) 540
  4. D) 720

Answer: A) 180

Q51. Which pair is a perfect square? (441, 512, 676, 800)

  1. A) 441 only
  2. B) 676 only
  3. C) Both 441 & 676
  4. D) None

Answer: C) Both 441 & 676

Q52. Trailing zeros in 7! (5040) are:

  1. A) 0
  2. B) 1
  3. C) 2
  4. D) 3

Answer: B) 1

Q53. 1000 can be expressed as a product of two co-prime numbers in how many ways?

  1. A) 2
  2. B) 3
  3. C) 4
  4. D) 5

Answer: C) 4

Q54. If p is a prime > 5, then p mod 6 is:

  1. A) Always 1
  2. B) Always 5
  3. C) Either 1 or 5
  4. D) Varies

Answer: C) Either 1 or 5

Q55. Sum of all 3-digit numbers divisible by 7 is:

  1. A) 70,329
  2. B) 71,071
  3. C) 72,548
  4. D) 73,143

Answer: A) 70,329

Q56. Smallest number to be subtracted from 4000 to make it a perfect square is:

  1. A) 39
  2. B) 40
  3. C) 41
  4. D) 64

Answer: A) 39

Q57. Find the remainder when 14^15 + 15^14 is divided by 5.

  1. A) 0
  2. B) 1
  3. C) 2
  4. D) 3

Answer: A) 0

Q58. The greatest 4-digit number divisible by 15 is:

  1. A) 9975
  2. B) 9980
  3. C) 9990
  4. D) 9995

Answer: C) 9990

Q59. If 5^n ends in 0, then n is:

  1. A) Always odd
  2. B) Always even
  3. C) Impossible
  4. D) Only when ×2

Answer: C) Impossible (5^n always ends in 5)

Q60. The LCM of first 10 natural numbers is:

  1. A) 720
  2. B) 2520
  3. C) 5040
  4. D) 3628800

Answer: B) 2520

GEOMETRY & MENSURATION — 20 Questions

Q61. Area of an equilateral triangle with side 6 cm is:

  1. A) 9√3 cm²
  2. B) 12√3 cm²
  3. C) 18√3 cm²
  4. D) 36 cm²

Answer: A) 9√3 cm²

Q62. In a right-angled triangle, hypotenuse is 13 cm and one leg is 5 cm. The other leg is:

  1. A) 10
  2. B) 11
  3. C) 12
  4. D) 13

Answer: C) 12 cm

Q63. A circle has a chord of 8 cm at 3 cm from the centre. The radius is:

  1. A) 4
  2. B) 5
  3. C) 6
  4. D) 7

Answer: B) 5 cm

Q64. Volume of a cone with radius 7 cm and height 12 cm (π = 22/7) is:

  1. A) 616 cm³
  2. B) 1232 cm³
  3. C) 1848 cm³
  4. D) 2156 cm³

Answer: A) 616 cm³

Q65. Two similar triangles have sides in ratio 3:5. The ratio of their areas is:

  1. A) 3:5
  2. B) 6:10
  3. C) 9:25
  4. D) 27:125

Answer: C) 9:25

Q66. Diagonals of a rhombus are 24 and 10. Its perimeter is:

  1. A) 52
  2. B) 56
  3. C) 60
  4. D) 64

Answer: A) 52 cm

Q67. The angle subtended by a diameter at the circumference is:

  1. A) 45°
  2. B) 60°
  3. C) 90°
  4. D) 180°

Answer: C) 90°

Q68. Total surface area of a hemisphere of radius 7 cm (π = 22/7) is:

  1. A) 462 cm²
  2. B) 616 cm²
  3. C) 528 cm²
  4. D) 308 cm²

Answer: A) 462 cm²

Q69. In triangle ABC, angle A = 60°, angle B = 70°. The exterior angle at C is:

  1. A) 50°
  2. B) 120°
  3. C) 130°
  4. D) 180°

Answer: C) 130°

Q70. Distance between (3, −4) and (−3, 4) on a coordinate plane is:

  1. A) 6
  2. B) 8
  3. C) 10
  4. D) 12

Answer: C) 10

Q71. In a circle with radius 10, a chord subtends a central angle of 60°. The chord length is:

  1. A) 5
  2. B) 10
  3. C) 5√3
  4. D) 10√3

Answer: B) 10 cm

Q72. If the circumradius of an equilateral triangle is 6, the side is:

  1. A) 6√2
  2. B) 6√3
  3. C) 3√3
  4. D) 12

Answer: B) 6√3 cm

Q73. A trapezium has parallel sides 10 and 14 cm with height 6 cm. Area is:

  1. A) 60 cm²
  2. B) 72 cm²
  3. C) 84 cm²
  4. D) 96 cm²

Answer: B) 72 cm²

Q74. The slope of a line perpendicular to 2x − 3y + 5 = 0 is:

  1. A) 2/3
  2. B) −3/2
  3. C) 3/2
  4. D) −2/3

Answer: B) −3/2

Q75. A sector of radius 14 cm subtends 90°. Its area (π = 22/7) is:

  1. A) 154 cm²
  2. B) 184 cm²
  3. C) 196 cm²
  4. D) 308 cm²

Answer: A) 154 cm²

Q76. In triangle PQR, PQ = QR = 5 and PR = 6. The median from Q has length:

  1. A) 4
  2. B) 4.5
  3. C) 5
  4. D) 5.5

Answer: A) 4 cm

Q77. The locus of a point equidistant from two fixed points is:

  1. A) A circle
  2. B) A parabola
  3. C) Perpendicular bisector
  4. D) Angle bisector

Answer: C) Perpendicular bisector

Q78. If sides of a triangle are 7, 24, 25, it is:

  1. A) Acute
  2. B) Obtuse
  3. C) Right-angled
  4. D) Equilateral

Answer: C) Right-angled

Q79. A cube of side 4 cm is melted into a sphere. The radius of the sphere is approximately:

  1. A) 2.48 cm
  2. B) 3.1 cm
  3. C) 2.67 cm
  4. D) 3.5 cm

Answer: A) ~2.48 cm

Q80. The area of a circle inscribed in an equilateral triangle of side 6 cm (π = 22/7) is:

  1. A) 9.42 cm²
  2. B) 9.9 cm²
  3. C) 9.57 cm²
  4. D) 9.25 cm²

Answer: C) ~9.57 cm²

MODERN MATH (P&C, Probability, Set Theory) — 10 Questions

Q81. In how many ways can 5 books be arranged on a shelf?

  1. A) 60
  2. B) 100
  3. C) 120
  4. D) 240

Answer: C) 120

Q82. Probability of drawing a king from a standard deck of 52 cards:

  1. A) 1/13
  2. B) 1/26
  3. C) 4/52
  4. D) Both A & C

Answer: D) Both A & C

Q83. From 6 men and 4 women, a committee of 4 with at least 2 women can be formed in:

  1. A) 80
  2. B) 90
  3. C) 100
  4. D) 111

Answer: D) 111 ways

Q84. In a group of 70 people, 37 like coffee and 52 like tea. Each likes at least one. How many like both?

  1. A) 17
  2. B) 19
  3. C) 21
  4. D) 23

Answer: B) 19

Q85. Two dice are rolled. Probability that the sum is at least 10:

  1. A) 1/6
  2. B) 1/8
  3. C) 1/9
  4. D) 1/12

Answer: A) 1/6

Q86. Number of ways to select 3 vowels from EQUATION:

  1. A) 10
  2. B) 15
  3. C) 20
  4. D) 35

Answer: C) 20 (⁶C₃)

Q87. A bag has 3 red and 5 blue balls. Two drawn without replacement. P(both red) =

  1. A) 3/28
  2. B) 1/8
  3. C) 3/56
  4. D) 9/64

Answer: A) 3/28

Q88. 4-digit numbers using digits 1–7 without repetition:

  1. A) 720
  2. B) 840
  3. C) 960
  4. D) 1024

Answer: B) 840

Q89. In a class of 40, 20 play cricket and 25 play football. 10 play both. How many play neither?

  1. A) 3
  2. B) 4
  3. C) 5
  4. D) 6

Answer: C) 5

Q90. If ⁿC₂ = 21, then n =

  1. A) 5
  2. B) 6
  3. C) 7
  4. D) 8

Answer: C) 7

TIME, SPEED & WORK — 10 Questions

Q91. A covers 1 km in 5 min, B in 6 min. By how much distance does A beat B in a 1 km race?

  1. A) 100 m
  2. B) 150 m
  3. C) 166.7 m
  4. D) 200 m

Answer: C) 166.7 m

Q92. 6 workers complete work in 12 days. Workers needed to finish in 8 days:

  1. A) 7
  2. B) 8
  3. C) 9
  4. D) 10

Answer: C) 9

Q93. A car averages 40 km/h for 100 km and 60 km/h for next 100 km. Average speed is:

  1. A) 48 km/h
  2. B) 50 km/h
  3. C) 52 km/h
  4. D) 54 km/h

Answer: A) 48 km/h

Q94. Trains of 100 m and 80 m in opposite directions at 72 and 54 km/h. Time to cross each other:

  1. A) 4.5 sec
  2. B) 5 sec
  3. C) 6 sec
  4. D) 7 sec

Answer: C) 6 sec

Q95. A and B alternate (starting A) completing work in 10 and 20 days. Total days to finish:

  1. A) 12
  2. B) 13
  3. C) 13.5
  4. D) 14

Answer: C) 13.5 days

Q96. Man walks at 4 km/h, cycles at 12 km/h. Covers 48 km in 6 hours. Distance walked:

  1. A) 6 km
  2. B) 8 km
  3. C) 10 km
  4. D) 12 km

Answer: D) 12 km

Q97. Pipe A fills in 4 hrs, B in 6 hrs. Time to fill 2/3 of tank together:

  1. A) 1.3 hrs
  2. B) 1.6 hrs
  3. C) 2 hrs
  4. D) 2.4 hrs

Answer: B) 1.6 hrs

Q98. A is 3× as fast as B and finishes 40 days ahead. Days to finish together:

  1. A) 10
  2. B) 12
  3. C) 15
  4. D) 20

Answer: C) 15 days

Q99. A to B at 60 km/h, return at 40 km/h. Average speed for round trip:

  1. A) 48 km/h
  2. B) 50 km/h
  3. C) 52 km/h
  4. D) 55 km/h

Answer: A) 48 km/h

Q100. 12 men complete work in 20 days. After 5 days, 4 more join. Remaining days needed:

  1. A) 10
  2. B) 11
  3. C) 12
  4. D) 15

Answer: C) ~12 days

CAT QA 2026 Quick Facts

Total Questions

22

MCQs

14–16

TITA Questions

6–8

Negative Marking

−1 (MCQ only)

Time Allotted

40 minutes

Highest Weightage Topic

Arithmetic (30–35%)

Check Important Links

CAT Syllabus CAT Geometry Syllabus Quant Syllabus
Maths Syllabus Reasoning Syllabus DILR Syllabus
English Syllabus VARC Syllabus DILR Topics

How to Solve CAT Quantitative Aptitude Questions Efficiently

Knowing how to approach CAT quantitative aptitude questions under exam conditions is a skill that separates average scorers from those in the 95th percentile. The following framework is used by SuperGrads coaches in live classroom sessions.

  1. Read the question, not just the numbers

The most common mistake students make is rushing to calculate before understanding what is being asked. Spend 10–15 seconds reading the question stem carefully before picking up your pencil.

  1. Identify the topic and applicable method

Recognise whether the problem belongs to Arithmetic, Algebra, Geometry, or Number Theory. Each category has a defined set of tools. With practice, this mapping takes under five seconds.

  1. Choose between exact calculation and approximation

Not every CAT quant question demands precise arithmetic. For percentage, ratio, or average problems, intelligent approximation often delivers the correct option in under 30 seconds.

  1. Deploy elimination when stuck

If a question resists your approach within 90 seconds, switch to option elimination. Ruling out two obviously incorrect choices raises your probability of a correct guess to 50%.

  1. Use the 2-2-1 time management framework

In a 40-minute section with 22 questions, attempt easy questions in ~1.5 min, moderate ones in ~2 min, and reserve 3+ minutes for the difficult ones you consciously choose to attempt.

Quick Tips to Improve Your Accuracy

  • Practise tables up to 25 and squares up to 30 to make calculations faster and easier.
  • For Number System questions, try a few small values first. It can help you spot the pattern before solving the whole problem.
  • In Geometry, always draw a rough figure. It makes the question much easier to understand and avoids silly mistakes.
  • Keep a small formula notebook and revise it regularly, especially during the last month.
  • During mock-test weeks, practise around 30 CAT Quant questions a day using a question PDF. This will help you build speed and stay consistent.

Topic-Wise Weightage in CAT Quantitative Aptitude (2019–2025)

Knowing which topics are asked more often can make your CAT Preparation much easier. The table below gives a clear picture of the Quantitative Aptitude topic-wise trend from 2019 to 2025, along with the number of questions asked from each topic in CAT 2025.

This analysis can help you plan your preparation, choose the right topics to focus on, and practise CAT aptitude questions more effectively.

Topic

Avg. Qs/Year

Weightage

Key Sub-Topics

Priority

Arithmetic

6–8

30–35%

Profit & Loss, Ratio, TSD, Work, Percentages, SI/CI

High

Algebra

4–6

20–25%

Quadratics, Progressions, Functions, Inequalities, Logs

High

Number System

3–5

15–20%

Divisibility, HCF/LCM, Remainders, Factors, Units Digit

High

Geometry & Mensuration

3–4

15–20%

Triangles, Circles, Coordinate Geometry, Solid Geometry

Medium

Modern Math

1–3

5–10%

P&C, Probability, Set Theory

Medium

Logarithms & Surds

1–2

5–8%

Log properties, Surd simplification

Low

Note: CAT 2025 had 22 Quantitative Aptitude questions in each of the three slots, making 66 questions in total. The 2025 figures above represent the combined distribution across all three slots.

What Does the CAT 2025 Trend Show?

CAT 2025 paper once again gave considerable importance to Arithmetic and Algebra. Together, these topics accounted for 47 out of 66 QA questions, making them the most important areas to cover during preparation.

However, students should not completely ignore the other topics. CAT can change the mix of questions from year to year, and even a smaller topic can include a few easy questions that are worth attempting.

A good preparation strategy is to first build strong concepts in the high-weightage areas and then practise CAT aptitude questions from previous years and mock tests. This helps you get familiar with different question types and improves both speed and accuracy.

CAT Quantitative Aptitude Questions: Difficulty Analysis

The goal in CAT is not to attempt all questions; it is to maximise your net score. Understanding the difficulty distribution allows you to make smarter attempt decisions under pressure.

Easy (~28%)
Around 6–7 questions in each paper. These are usually direct and formula-based, so try to attempt all of them and aim for full accuracy.

Moderate (~44%)
About 9–10 questions. Try 7–8 of these based on your comfort level. They usually need a couple of steps and some calculation. Doing well here can make a big difference to your percentile.

Difficult (~28%)
Around 6–7 questions. Pick only 2–3 that you are confident about. These can take more time and involve multiple steps, so don’t spend too long on them.

In CAT QA, getting fewer questions right is better than attempting too many and making mistakes. For example, a student who attempts 15 questions and gets 13 right can score better than someone who attempts 22 but gets only 15 right. Focus on accuracy and choose your questions wisely.

Percentile Target Guide

Target Percentile

Recommended Attempts

Minimum Accuracy

Expected Net Score

85th Percentile

12–14

75%

24–30

90th Percentile

14–16

80%

32–38

95th Percentile

15–17

85%

38–48

99th Percentile

17–20

88%+

50–60

CAT Quantitative Aptitude Questions

Conclusion

The Quantitative Aptitude section of CAT is demanding by design — but it is fully conquerable with consistent, strategy-driven preparation. The 100 CAT quantitative aptitude questions in this guide, the topic-wise weightage data, and the difficulty analysis all point to the same conclusion: the quality of your preparation matters far more than natural aptitude.

Students who solve CAT quant questions pdf every day, review their mistakes rigorously, and work within a structured programme consistently outperform those who rely on unguided practice. The path to a 99th percentile score is not a mystery it is a system.

Join SuperGrads CAT Online Coaching today for a free trial class. Experience our QA methodology first-hand and see why thousands of CAT aspirants trust us to take them to the IIMs.

Frequently Asked Questions

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About the Author

Faculty
Komal Tabhane

Content Writer | MBA & CAT Preparation

Komal Tabhane is a content writer with 3+ years of experience in the MBA and CAT preparation domain. She is passionate about making challenging concepts simple, structured, and easy for students to grasp. Her work focuses on decoding exam trends, building effective preparation strategies, and crafting insightful content that empowers aspirants to navigate their CAT and MBA journey with confidence.... more