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Complete QA Formula Matrix 6 Min Read

CAT Quantitative Aptitude Formulas Cheatsheet & High-Yield Traps

Comprehensive mathematical formula repository covering Arithmetic, Algebra, Geometry, Number Systems & Modern Math. Master 80+ verified shortcut equations, remainder theorems, and CAT traps.

BR
Balaji RaoLead Academic Director, ThinkCAT

Executive Briefing & Key Takeaway

Verified Summary

Quantitative Aptitude in CAT consists of 22 questions covering 5 broad modules: Arithmetic (8–9 Qs), Algebra (6–7 Qs), Geometry & Mensuration (3–4 Qs), Modern Math (1–2 Qs), and Number Systems (1–2 Qs). Mastering core formulas in Time Speed Distance (Relative Speed, Harmonic Mean), Time & Work (Efficiency Ratios), Logarithms (Change of Base), Quadratics (Roots Relations, Discriminant), and Triangles (Cosine Rule, Apollonius Theorem) provides a 40+ raw score baseline necessary for 99+ percentile.

Key Facts & Action Items

1
Arithmetic Dominance: 8–9 questions out of 22 can be solved using 10 foundational ratios
2
Algebra Must-Knows: Logarithm properties, Modulus graphs, and AM-GM inequality
3
Geometry Shortcuts: Stewart Theorem, Angle Bisector Theorem & Cyclic Quadrilateral area
4
Remainder Theorems: Euler Totient Theorem & Fermat Little Theorem for unit digits
5
Trap Warnings: Avoid extraneous roots in logarithmic equations and check denominator constraints

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Frequently Asked Questions

What are the most important formulas for CAT Quantitative Aptitude?

High-frequency formulas include Harmonic Mean in TSD (2ab/(a+b)), Work-Efficiency inverses, Logarithm base changes, Sum of roots (-b/a) and product (c/a), and Apollonius Theorem (AB² + AC² = 2(AD² + BD²)).

Can I score 99 percentile in CAT QA by just memorizing formulas?

No. CAT questions test conceptual application and boundary conditions rather than direct formula plugging. Formulas serve as speed accelerants once problem representation is understood.

Which chapters have the highest weightage in CAT Quant?

Arithmetic (Percentages, Profit & Loss, TSD, Time & Work) and Algebra (Linear, Quadratics, Logarithms, Functions) collectively make up 75% of the section.

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