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Lessons

Power Cycle

Master unit digit and power cycle for SSC, IBPS & Railways. Learn cyclicity, trailing zeroes in factorials, and shortcuts — explained like a real teacher, not a textbook.

Numbers

Learn numbers and number systems with easy explanations. Understand natural, whole, integer, rational, irrational, real numbers, divisibility rules, co-prime numbers, and division algorithm with examples.

Remainder Cycles

Learn remainder theorem tricks for SSC, IBPS & Railways. Understand basic remainders, exponential remainder cycles, and shortcuts — explained like a real teacher.

Number system is the single most tested topic in quantitative aptitude. Whether it is SSC CGL, IBPS PO, or CAT, almost every paper includes questions on types of numbers, divisibility rules, remainders, or unit digits. This section covers the topic from the ground up — definitions, rules, shortcuts, and worked examples — so you build both conceptual clarity and exam-ready speed.

Lessons in This Section

1. Numbers

Covers the classification of numbers — natural, whole, integers, rational, irrational, and real — along with divisibility rules, co-prime numbers, and the division algorithm. This is the foundation lesson and should be studied first.

2. Power Cycle

Explains how to find the unit digit of any large power quickly using cyclicity patterns. Also covers trailing zeroes in factorials and shortcuts used in SSC and banking papers.

3. Remainder Cycles

Deals with remainder theorem for both basic and exponential expressions. You will learn how remainders follow repeating cycles and how to apply this in timed exam conditions.

Topics Covered Across All Lessons

  • Natural and whole numbers

  • Integers and rational numbers

  • Irrational and real numbers

  • Divisibility rules (2 to 19)

  • Co-prime numbers

  • Division algorithm

  • Unit digit and cyclicity

  • Trailing zeroes in factorials

  • Remainder theorem

  • Exponential remainders

Exams Where This Topic Appears

  1. SSC CGL

  2. SSC CHSL

  3. IBPS PO

  4. IBPS Clerk

  5. SBI PO

  6. RRB NTPC

  7. RRB Group D

  8. CAT

  9. CLAT

  10. CDS

How This Section Is Structured

  • Each concept is explained in plain language first, followed by the rule or formula, then worked examples.

  • Exam shortcuts are called out separately so you can find and apply them without re-reading full explanations.

  • The lessons are arranged progressively — Numbers, then Power Cycle, then Remainder Cycles — so each lesson builds on the previous one.

  • MCQ practice is available alongside every lesson to test what you have studied immediately.

Frequently Asked Questions

Is number system important for SSC and banking exams?

Yes. It appears consistently in both Tier I and Tier II papers. Questions on divisibility, remainders, and unit digits are standard and, once you know the patterns, among the faster ones to solve.

What is the best order to study these lessons?

Start with Numbers for the foundation — types, properties, and divisibility rules. Then study Power Cycle for unit digit questions, and finish with Remainder Cycles for exponential remainder problems.

How many questions from number system appear in competitive exams?

In SSC CGL, typically 3 to 5 questions per paper. In IBPS PO prelims, around 2 to 4. The count varies by exam, but the topic is present in virtually every quantitative aptitude section.

Do I need to memorise all divisibility rules?

The rules for 2, 3, 4, 5, 6, 8, 9, 10, and 11 are high-priority and worth memorising. Rules for 7, 13, and beyond are less frequently tested but are included in the lesson for completeness.