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Quantitative Aptitude›Ch 5: Data & Speed Maths›Quant Ultimate Formula Revision

5.7

Quant Ultimate Formula Revision

5 min

One-page high-yield formulas and calculation traps for SSC, Railway & Defence

1

Golden Rule of Calculation

Speed and accuracy depend on memorizing core formulas and avoiding common calculation traps in exam conditions.

2

Why Formula Revision Matters

  • Saves 10 to 15 seconds per question in arithmetic and algebra.
  • Prevents silly calculation errors under exam pressure.
  • Boosts overall confidence for time management.

Quick Memory Hooks

  • SI is straight line, CI is compounding growth curve.
  • Speed × Time = Constant Distance.
  • Successive percentage: a + b + (ab/100).
3

Core Formula Master Sheet

TopicFormulaApplication
Profit & LossSP = CP × (100 ± P/L)% / 100Finding Selling Price
Simple InterestSI = (P × R × T) / 100Interest calculation
Compound InterestA = P(1 + R/100)^tAmount calculation
Average Speed2xy / (x + y)Equal distance travel
4

Geometry & Mensuration Quick View

Circle Area

(Pi r square)

Circle Area: Pi r squareabr

Pi r square

Area of circle with radius 7 cm is 154 sq cm.

Cylinder Vol

(Pi r sq h)

Cylinder Vol: Pi r sq habr

Pi r sq h

Volume of cylinder determines liquid capacity.

Cone Slant

(Root r sq + h sq)

Cone Slant: Root r sq + h sqabr

Root r sq + h sq

Slant height l connects radius and vertical height.

Sphere Vol

(Four third pi r cube)

Sphere Vol: Four third pi r cubeabr

Four third pi r cube

Solid ball volume follows this standard formula.

5

Common Exam Calculation Traps

Successive 20% & 10% discount is 30%Successive discount is 28%

Always apply net percentage formula a + b - (ab/100).

CI for 2 yrs = Simple Interest for 2 yrsCI = SI + Interest on Interest

CI is always slightly greater than SI for more than 1 year.

Average speed = Average of two speedsAverage speed = Total distance / Total time

Never average speeds directly unless time taken is equal.

6

Quick Revision Check

Q1.What is the average speed if a man travels equal distances at 40 km/h and 60 km/h?

Q2.Find the compound interest on Rs. 1000 at 10% per annum for 2 years.

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