Quantitative Aptitude Quick Formula Cheat Sheet (SSC, Railways & Banking)

Stop wasting critical hours flipping through 600-page heavy textbooks right before exam day.

When your mock test scores plateau or the exam is only weeks away, what you need is speed of recall, not lengthy theory.

The Quantitative Aptitude Quick Formula Cheat Sheet is a high-density, 3-page master summary compiled specifically for serious government and banking exam aspirants. It organizes every critical formula, speed ratio, and recurring question trap into clean, structured tables so you can revise the entire Quant syllabus in under 20 minutes.

📌 What’s Included Inside:

• 1. Mensuration 2D (द्विविमीय क्षेत्रमिति):

  • Equilateral & scalene triangle area shortcuts, inradius ($r$), circumradius ($R$) ratios, and median relations.

  • Trapezium diagonal midpoint formulas and rhombus side-diagonal relationships.

  • Circular path area and wheel revolution calculations.

• 2. Mensuration 3D (त्रिविमीय क्षेत्रमिति):

  • Cones, spheres, and hemispheres (with clear distinctions between Curved Surface Area and Total Surface Area).

  • Frustum slant heights, CSA/TSA, and volume shortcuts without sign confusion.

  • Right prisms and pyramids base-perimeter rules.

• 3. Geometry Core Theorems (ज्यामिति के मुख्य प्रमेय):

  • Tangent-Secant theorem ($PT^2 = PA \times PB$) and interior/exterior intersecting chord ratios.

  • Incenter, circumcenter, and excenter angle-chasing shortcuts.

  • Direct Common Tangent (DCT) and Transverse Common Tangent (TCT) rapid length formulas.

  • Apollonius's theorem for rapid median length calculation.

• 4. Algebra & Number Systems (बीजगणित और संख्या प्रणाली):

  • Conditional cubic expansions ($a^3 + b^3 + c^3 - 3abc$) and recurring zero-identities.

  • $x + 1/x$ power shortcuts (squared, cubed, and power of 5 shortcuts).

  • Natural number sum, square sum, and cube sum identities.

  • Power cyclicity rules for unit-digit determination.

• 5. Trigonometry & Height & Distance (त्रिकोणमिति):

  • Standard Pythagorean identities and rapid secant/tangent splits.

  • Maximum and minimum value conditions for extreme value problems.

  • Rapid triangle side ratios ($30^\circ\text{-}60^\circ\text{-}90^\circ$ and $45^\circ\text{-}45^\circ\text{-}90^\circ$) to solve elevation questions without writing full equations.

• 6. Arithmetic Quick Formulas & Speed Hacks (अंकगणित):

  • Successive percentage net-change formulas for discounts and profits.

  • 2-year and 3-year Compound Interest vs. Simple Interest difference formulas.

  • High-frequency fraction-to-percentage mental conversion benchmarks ($1/6$ to $1/14$).

🎯 Ideal For Aspirants Of:

• Staff Selection Commission: SSC CGL, CHSL, CPO, MTS, GD Constable

• Railways: RRB NTPC, RRB ALP, Group D, RPF SI/Constable

• Banking & Insurance: SBI PO/Clerk, IBPS PO/Clerk, RRB Scale I, LIC AAO

• Defense & Police Exams: CDS, AFCAT, State Sub-Inspector exams

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