Arithmetic represents 8 to 10 questions out of 22 total QA questions across all 3 slots of CAT.
Securing 100% accuracy on Arithmetic alone yields 24 to 30 raw marks, which translates to a 90+ QA percentile without touching higher math.
Time, Speed & Distance and Time & Work questions in CAT 2023–2025 are heavily based on ratio proportionality rather than complex formula plugging.
Alligation & Weighted Averages can solve up to 30% of profit-loss, mixtures, and interest problems in under 60 seconds.
If you look at the historical papers from CAT 2017 to CAT 2025, one statistical reality stands out: Arithmetic constitutes between 38% and 48% of the entire Quantitative Aptitude section.
For non-engineers, CAT repeaters, and working professionals with limited study hours, mastering arithmetic is the single highest return-on-investment prep strategy available.
1. Why Arithmetic is the Kingmaker in CAT QA
In a 22-question 40-minute QA section, solving 8 questions with 100% accuracy yields 24 raw marks. In CAT 2025, 24 raw marks comfortably delivered a 92.8+ percentile in Quant. Arithmetic provides those 8 questions every single year.
2. Topic-wise PYQ Distribution (2017–2025: 234 Verified Questions)
Subtopic
Total PYQs (2017-2025)
Avg Qs Per Slot
Difficulty Rating
Time, Speed & Distance (Races, Trains, Escalators)
54
2.2
Moderate to High
Time & Work (Pipes, Cisterns, Efficiency)
48
1.9
Easy to Moderate
Percentages, Profit & Loss, Discounts
52
2.1
Easy to Moderate
Averages, Mixtures & Alligations
46
1.8
Moderate
Simple & Compound Interest, Installments
34
1.4
Easy (Formulaic)
3. Five High-Yield Shortcut Models
Rather than setting up 4 algebraic equations with x and y, top percentile scorers use ratio transformations and weighted average balancing:
Shortcut Formula #1: Inverse Proportionality in Work
If Efficiency Ratio E1 : E2 = a : b, then Time Taken Ratio T1 : T2 = b : a (when total work is constant).
Use this to eliminate variables when solving men-women-days efficiency problems from CAT 2024 Slot 1.
4. The Proportionality Method in Time-Speed-Distance
When two objects travel towards each other or start from the same point, the distance covered is directly proportional to speed for equal time intervals:
Meeting Point Distance Ratio: D1 / D2 = S1 / S2 (when t is constant)
Time Ratio for Constant Distance: T1 / T2 = S2 / S1
234 PYQs
Practice 234 Verified CAT Arithmetic PYQs
Solve real past-paper questions filtered by subtopic, difficulty, and year with step-by-step LaTeX derivations.
CAT 99.94%ile in QA. 8+ years mentoring over 12,000 aspirants for IIM Ahmedabad, Bangalore, and Calcutta.
Credentials: CAT 99.94%ile | IIM Bangalore Alum
Frequently Asked Questions
How many questions in CAT Quant are strictly from Arithmetic?
Typically 8 to 10 out of 22 questions (around 40% of the entire section) are from Arithmetic.
Can I clear the sectional cutoff for IIMs with only Arithmetic and Algebra?
Yes. Arithmetic (8-10 Qs) and Algebra (6-8 Qs) together comprise over 70% of the QA section. Mastering these two areas is sufficient to score 99+ percentile in QA.
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