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Aptitude Topics

Ratio Basics

A ratio compares two or more similar quantities by division, showing how many times one value contains another.

Fundamental Principles

Ratio Definition

The relation between two quantities of the same kind, expressed as a : b or as a fraction a/b. The first term 'a' is called the antecedent and the second term 'b' is the consequent.

Compounded Ratio

The ratio formed by multiplying the corresponding terms of two or more given ratios. For a : b and c : d, the compounded ratio is ac : bd.

Essential Formulation Tips

  • Ratios can only compare quantities measured in the exact same units. Convert units before simplifying.
  • Multiplying or dividing both terms of a ratio by the same non-zero number does not change its value.

Shortcut Execution Techniques

  • To combine ratios like A : B = 2 : 3 and B : C = 4 : 5, multiply the terms to match the middle variable B (making B equal to 12), which quickly gives you A : B : C = 8 : 12 : 15.

Contextual Inquiries (FAQs)

Q: Can a ratio have fractional terms?

A: Yes, but it is best to multiply all terms by their lowest common denominator to change them into whole numbers.