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These formulas are commonly used while solving questions related to:
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Types of numbers (natural numbers, integers, rational and irrational numbers)
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Even and odd number properties
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Divisibility rules and factors
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LCM and HCF relationships
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Remainder based problems
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Digit based questions and cyclicity patterns
Instead of memorising everything separately, it is better to understand how these formulas connect with each other. For example, knowing the relationship between LCM and HCF or understanding how remainders behave in powers and divisions can significantly reduce calculation time during the exam.
Many CAT aspirants underestimate this topic, but in reality number system concepts often appear indirectly in arithmetic, algebra, and data interpretation problems as well.
Use the formulas in the image as a quick revision sheet.