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Numbers, Quantification and Numerical Applications — Revision Notes

CBSE · Class 12 · Applied Mathematics

Numbers, Quantification and Numerical Applications revision notes for CBSE Class 12 Applied Mathematics: 4 topics in quick points.

44 questions24 flashcards2 formulas & key relations5 concepts

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Key Topics to Revise

1

Modular Arithmetic

  • Modular arithmetic deals with remainders when integers are divided by a fixed positive integer
  • X mod Y = R means X = Y × Q + R where 0 ≤ R < Y
  • Properties: (A+B) mod C = (A mod C + B mod C) mod C
2

Simple Arithmetic Functions

  • Arithmetic functions map positive integers to real or complex numbers
  • Euler's totient function φ(n) counts numbers coprime to n
  • Divisor function τ(n) counts positive divisors of n
3

Alligation and Mixture

  • Alligation finds ratio for mixing ingredients at different prices
  • Mean price is the cost per unit of the final mixture
  • Rule: Ratio = (Higher price - Mean price) : (Mean price - Lower price)
4

Boats and Streams

  • Downstream speed = Boat speed + Stream speed
  • Upstream speed = Boat speed - Stream speed
  • Boat speed = (Downstream + Upstream)/2

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Full Notes

Key Concepts

A system dealing with remainders whenTwo integers a and bFunctions from positive integers to real/complexMathematical technique to find ratiosProblems involving relative motion where boat

Frequently Asked Questions

What are the important topics in Numbers, Quantification and Numerical Applications for CBSE Class 12 Applied Mathematics?
Key topics in Numbers, Quantification and Numerical Applications include Modular Arithmetic, Simple Arithmetic Functions, Alligation and Mixture, Boats and Streams. Study these first, then practise questions on each for the CBSE Class 12 board exam.
How should I revise Numbers, Quantification and Numerical Applications for the CBSE Class 12 board exam?
Learn the core ideas first, then work through the 44 practice questions on Numbers, Quantification and Numerical Applications. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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All CBSE Class 12 Applied Mathematics Revision Notes

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