100+ CAT Quantitative Aptitude Questions with Solutions Free PDF Download

Overview: Among the three sections of CAT 2026, the Quantitative Aptitude (QA) segment consistently determines who clears the 95th percentile and who doesn't. It is challenging by design, rewarding by outcome, and absolutely conquerable with the right preparation system.

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This blog compiles 100 CAT quantitative aptitude questions across all key topics, complete with correct answers, a topic-wise weightage breakdown, difficulty analysis, and the expert strategy framework SuperGrads uses in its classroom programmes. Whether you are starting your preparation or sharpening your exam-week skills, this resource is built to deliver real value.

What You Will Find in This Guide

• 100 CAT-level MCQs across 6 topics
• Topic-wise CAT Quant Questions with Solutions PDF
• Topic-wise weightage table (2019–2024 data)
• Correct CAT Quantitative Aptitude Questions and answers with quick reference format
• Difficulty breakdown and smart attempt strategy
• Step-by-step solving framework used by SuperGrads coaches

Quick Answers: CAT QA 2026 at a Glance

The following section answers the most common questions students ask before diving into CAT quantitative aptitude preparation. These are structured for quick reference.

How many questions are asked in CAT QA?

CAT 2024 had 22 questions in the Quantitative Aptitude section — typically a split of 14–16 MCQs and 6–8 TITA (Type In The Answer) questions. This distribution varies slightly year to year.

What is the difficulty level distribution in CAT QA?

Approximately 25–30% of questions are Easy, 40–45% are Moderate, and 25–30% are Difficult. Scoring 16–18 correct answers typically corresponds to the 95th percentile or higher.

Which topics are most important for CAT quantitative aptitude questions?

Arithmetic (30–35%), Algebra (20–25%), Number System (15–20%), and Geometry & Mensuration (15–20%) collectively account for over 85% of all CAT quant questions asked in any year.

Is there negative marking in CAT QA?

Yes. MCQs carry a penalty of −1 mark per wrong answer. TITA questions have no negative marking. This makes selective, accurate attempt strategy critical for maximising your net score.

Topic-wise CAT Quant Questions with Solutions PDF Download

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

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

100+ CAT Quantitative Aptitude Questions with Answers

The following CAT quantitative aptitude questions are modelled on the actual 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?

4. A) 4.5
5. B) 5
6. C) 5.5
7. 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:

2. A) 2.48 cm
3. B) 3.1 cm
4. C) 2.67 cm
5. 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:

9. A) 9.42 cm²
10. B) 9.9 cm²
11. C) 9.57 cm²
12. 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:

4. A) 4.5 sec
5. B) 5 sec
6. C) 6 sec
7. 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

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.

2. 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.

3. 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.

4. 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%.

5. 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 Boost Accuracy

• Learn multiplication tables up to 25 and squares up to 30 — mental math speed is the single biggest differentiator.
• For number system problems, test with small numbers before generalising your approach.
• In geometry, draw a figure every time — even a rough sketch prevents costly misinterpretations.
• Maintain a formula booklet and review it daily during your final month of preparation.
• Practise at least 30 CAT quant questions daily during mock weeks to build stamina and consistency.

• Topic-Wise Weightage in CAT Quantitative Aptitude (2019–2024)

  Understanding where CAT Quantitative Aptitude Questions come from is the foundation of smart preparation. The table below is built on data from six years of CAT papers and represents the most reliable guide for allocating your study time.

  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

  A student who masters Arithmetic and Algebra alone can confidently attempt well over 50% of all CAT quant questions in a given paper — making these two topics the highest-leverage areas for any CAT aspirant.

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%)

6–7 questions per paper. Must-attempt. Standard single-step formulas. Target 100% accuracy — these are marks you cannot afford to drop.

Moderate (~44%)

9–10 questions. Attempt 7–8 selectively. Two-step logic, some calculation. This is where your percentile is won or lost.

Difficult (~28%)

6–7 questions. Attempt only 2–3 based on topic strength. Complex multi-step. Never force these — the time cost rarely pays off.

A student who attempts 15 questions and gets 13 correct scores higher than one who attempts 22 and gets 15 correct. In CAT QA, selective precision consistently outperforms aggressive volume.

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

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 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.

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