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Aptitude Topics

Simplification

Simplification is the process of reducing complex mathematical expressions into simpler forms using arithmetic rules and shortcuts. It is one of the most frequently asked topics in aptitude and competitive examinations.

Fundamental Principles

Simplification

The process of performing mathematical operations correctly to obtain the simplest value of an expression.

BODMAS Rule

Brackets, Orders, Division, Multiplication, Addition, and Subtraction determine the order of operations.

Approximation

A shortcut technique where values are rounded to estimate answers quickly.

Essential Formulation Tips

  • Always follow the BODMAS rule.
  • Solve brackets before other operations.
  • Convert mixed fractions into improper fractions.
  • Cancel common factors before multiplication.
  • Memorize squares, cubes, and percentage equivalents.

Shortcut Execution Techniques

  • Use cross-cancellation in fractions.
  • Convert percentages into fractions for faster calculations.
  • Memorize squares up to 50 and cubes up to 20.
  • Apply identities like (a+b)² and (a−b)² when possible.
  • Estimate answers first to eliminate wrong options quickly.

Contextual Inquiries (FAQs)

Q: Why is BODMAS important?

A: It ensures mathematical operations are performed in the correct order.

Q: Can simplification be solved without lengthy calculations?

A: Yes. Most aptitude questions can be solved using shortcuts and approximations.

Q: What topics are commonly included in simplification?

A: Fractions, decimals, percentages, exponents, roots, and arithmetic operations.