Quantitative Aptitude Cheat Sheet

Key Definitions

• Number System: The system of writing numbers; includes natural, whole, integers, rational, and irrational numbers. ✅

• Algebra: Branch of mathematics dealing with symbols and the rules for manipulating those symbols. ✅

• Geometry: Study of shapes, sizes, and properties of space. ✅

• Data Interpretation: Analyzing and interpreting data from various sources like graphs and tables. ✅

Important Concepts

Number Systems

• Types: Natural, Whole, Integers, Rational, Irrational.

• Conversions: Decimal to binary, binary to decimal.

Algebra

• Linear Equations: ax + b = 0 (where a ≠ 0). ✅

• Quadratic Equations: ax^2 + bx + c = 0 (solutions via x = (-b ± √(b²-4ac))/(2a)). ✅

Geometry

• Triangles: Sum of angles = 180°.

• Circle: Area = πr², Circumference = 2πr. ✅

Data Interpretation

• Bar Graphs: Useful for comparing quantities.

• Pie Charts: Useful for showing proportions.

Key Formulas

• Distance: d = rt (where r = rate, t = time). ✅

• Area of Triangle: A = (1/2) base height. ✅

• Volume of Cylinder: V = πr²h. ✅

Common Mistakes to Avoid

Common Mistake: Forgetting to check units in word problems.

Memory Tricks

Tip: "PEMDAS" — Parentheses, Exponents, Multiplication, Division, Addition, Subtraction (order of operations).

Key Diagrams

Triangle:
    /\
   /  \
  /____\

Circle:
   , - ~ ~ ~ - ,
 /                 \
|                   |
 \               /
   ` - . _ . - '

Bar Graph:
|  |
|  |  |
|  |  |  |
|__|__|__|__|

Tip: Practice speed calculations to improve accuracy in exams.