--d --h
Questions in Exam
25
Total Marks
37.5
Syllabus Coverage
100%

Essential Exam Formulas

Quick-reference cheat sheets for high-yield TNPSC Aptitude modules.

Simplification & Percentages

BODMAS rules, percentages, decimals, fractions, and ratio conversions.

BODMAS Order Bracket ( ), Of, Div (รท), Mul (ร—), Add (+), Sub (-)
Percentage Increase Increase % = (Increase Value / Original Value) ร— 100
Salary Rule If A is R% more than B, B is [R / (100 + R)] ร— 100 % less than A

HCF & LCM

Common factors, common multiples, division methods, and relationship properties.

Fundamental Relation HCF(a, b) ร— LCM(a, b) = a ร— b
LCM of Fractions LCM of Numerators / HCF of Denominators
HCF of Fractions HCF of Numerators / LCM of Denominators

Simple & Compound Interest

Annual interest rates, principal, accrued amounts, and compound frequency.

Simple Interest (SI) SI = (P ร— T ร— R) / 100
Compound Interest (Amount) A = P ร— (1 + R/100)^n
Difference for 2 Years CI - SI = P ร— (R / 100)^2

Time & Work

Individual rates, group coordination, pipes, cisterns, and work efficiency.

Combined Work Rate X & Y together take (X ร— Y) / (X + Y) days
Efficiency Rule Work Done = Efficiency ร— Time Taken
Chain Rule (M1 ร— D1 ร— H1) / W1 = (M2 ร— D2 ร— H2) / W2

Mensuration

2D shapes, 3D solids, surface area, volumes, and geometric measurements.

Circle Area & Circ. Area = ฯ€rยฒ, Circ = 2ฯ€r (ฯ€ โ‰ˆ 22/7)
Sphere Volume & SA Volume = (4/3)ฯ€rยณ, Surface Area = 4ฯ€rยฒ
Cylinder Vol & CSA Volume = ฯ€rยฒh, Curved SA = 2ฯ€rh