Master Number Systems, Factors & HCF-LCM
High-yield concept sheets, speed-math shortcuts, interactive visualizers, and timed 20-minute sectional mocks designed for Campus Placements, CAT, GATE, Banking, SSC & CSAT exams.
Learning Materials
Number System
Number classifications (ℕ, ℤ0, ℤ, ℚ, irrationals), recurring decimals, unit digits, and fast divisibility tests (2, 3, 4, 5, 8, 9, 10, 11).
Prime Factorisation
Canonical decomposition, prime power notation, coprime properties, counting trailing zeroes (min powers of 2 & 5), and prime sieve principles.
HCF & LCM
HCF & LCM of fractions, product rule A × B = HCF × LCM, circular track
meeting times, bell ringing cycles, and equal sharing models.
Factors & Divisors
Total number of factors formula (a+1)(b+1)(c+1), odd/even factor splits, sum of factors,
factor pairs, and perfect square factor parity.
Aptitude Basics Workbook
Comprehensive 7-topic visual guide covering LCM & HCF, Time & Work, Speed & Distance, Profit & Loss, Percentages, Interest, and Reasoning with pictorial guides and chapter quizzes.
Practice & Visualizers
HCF & LCM Visualizers
Interactive Venn & prime-power ball visualizers for 2 and 3 numbers. Move sliders to build deep intuitive understanding of shared vs unique prime factors.
Factors Practice Drill
A 5-tier progressive aptitude drill mixing prime factorisation, LCM, and HCF by the prime factorisation method. Instant answer validation and error review.
Timed Sectional Tests
Number System Test
Timed sectional test on number classifications, divisibility rules, even/odd properties, primes, and fraction forms. Evaluates speed, accuracy, and foundational recall.
50 Question HCF/LCM Quiz
Full-length aptitude sectional challenge covering prime numbers, factor trees, HCF, LCM, and real-world cycle problems. Generates an instant performance scorecard with full review.
Aptitude Foundations Challenge
Comprehensive 50-question sectional challenge focusing on essential commercial math: Worker-days, relative speed, ratios, and percentages with full question-by-question review.
Quant Sprint Mock
Timed arithmetic speed sprint covering Time & Work, Time, Speed & Distance, and Percentages. Features instant worked explanations and topic-wise performance diagnostics.
Commercial Maths Practice
50-question 20-minute timed sprint focusing on Profit & Loss, Simple Interest, and Compound Interest. Features instant answer feedback, step-by-step explanations, and topic-wise diagnostic scorecard.