Numbers, Quantification and Numerical Applications

CBSE · Class 12 · Applied Mathematics

Quick revision notes for Numbers, Quantification and Numerical Applications — CBSE Class 12 Applied Mathematics. Key concepts, formulas, and definitions for last-minute revision.

44 questions24 flashcards5 concepts

Key Topics to Revise

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

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

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)

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

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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.

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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.

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