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Numbers, Quantification and Numerical Applications

CBSE · Class 12 · Applied Mathematics

Complete topic list for Numbers, Quantification and Numerical Applications in CBSE Class 12 Applied Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

48 questions24 flashcards5 concepts

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4 Topics · CBSE Class 12 Applied Mathematics

Topics in Numbers, Quantification and Numerical Applications

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

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?
Numbers, Quantification and Numerical Applications covers several key topics that are frequently asked in CBSE Class 12 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.
How to score full marks in Numbers, Quantification and Numerical Applications — CBSE Class 12 Applied Mathematics?
Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision 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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