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The armoury

Resources

Daily reading that builds RC stamina, editorials, vocabulary drills, and the formulas worth memorising — all free.

Daily reading for RC

CAT lifts passages from exactly these publications. One essay a day beats any shortcut.

Aeon Essays

Philosophy · Science · Society

CAT RC passages are routinely adapted from Aeon — read 1 essay daily.

The Guardian — Long Read

Current affairs · Narrative

Long-form journalism that mirrors RC tone and density.

Project Syndicate

Economics · Policy

Dense argumentative prose — great for inference questions.

Smithsonian Magazine

History · Science

Fact-heavy passages like CAT's history/science RCs.

Nautilus

Science · Ideas

Science writing with a humanities flavour.

Psyche

Psychology · Culture

Shorter Aeon sibling — good for a quick daily read.

Editorials

The Hindu — Opinion

The classic CAT-prep editorial page.

Indian Express — Editorials

Crisp argumentative writing, daily.

Livemint — Views

Economy & business viewpoints.

Vocabulary drills

123 CAT vocabulary questions with explanations.

RC practice

858 passage questions from 35 years of CAT.

Quant formula sheet

Percentages & Profit-Loss

  • a% of b = b% of a
  • Successive change: net% = a + b + ab/100
  • CP→SP with profit p%: SP = CP × (1 + p/100)
  • Discount d% on marked M: SP = M × (1 − d/100)

Time, Speed & Distance

  • Average speed (equal distances) = 2xy/(x+y)
  • Relative speed: same direction |x−y|, opposite x+y
  • Train crossing pole: t = L/v · crossing platform: t = (L+P)/v

Time & Work

  • Rate = 1/days; combined rate = sum of rates
  • M₁D₁H₁/W₁ = M₂D₂H₂/W₂
  • Pipes: filling + , emptying −

Number Systems

  • Divisors of N = (a+1)(b+1)… for N = pᵃqᵇ…
  • Sum of divisors = Π (pᵃ⁺¹−1)/(p−1)
  • HCF × LCM = product of two numbers
  • Last digit cycles repeat with period 4

Algebra

  • a³+b³ = (a+b)(a²−ab+b²)
  • Quadratic: sum = −b/a, product = c/a
  • AM ≥ GM ≥ HM (equality when all equal)
  • log_a(xy) = log_a x + log_a y

Geometry & Mensuration

  • Triangle area = ½ab·sinC = √(s(s−a)(s−b)(s−c))
  • Cyclic quadrilateral: opposite angles sum to 180°
  • Cone V = ⅓πr²h · Sphere V = 4/3πr³, SA = 4πr²
  • Similar triangles: areas scale as square of sides