Civil Services Prepby Garima Malik & Nitin Sangwan Account

UPSC · Prelims and Mains

CSAT: Comprehension, Reasoning and Numeracy

← Number relations and calculation

Divisibility and remainders

Whole chapter · 12–18 focused hours

Number relations and calculation

School arithmetic and working reading fluency, with rusty Class X mathematics; first focused CSAT preparation. Learners needing basic literacy or foundational numeracy remediation need a separate diagnostic budget.

Includes

  • Assigned explanatory sections and selected worked examples
  • Available mapped CSAT questions with untimed then timed attempts
  • Mistake analysis and one initial recall review

Separate time needed

  • Full-length timed papers
  • Later spaced revision
  • All optional textbook exercises
  • Advanced mathematics beyond Class X or competition-specific high-difficulty extensions
  • Optional supplementary exam-book exercises beyond available mapped practice

Editorial planning estimate; not learner timing data

Where to study this topic
  • Divisibility Rules ↗

    Divisibility table for 2–12 and worked examples; integer decimal representation

  • Greatest Common Factor ↗

    Common factors and Finding the Greatest Common Factor methods 1–2, including 24 and 108

  • Least Common Multiple ↗

    Positive common-multiple lists and worked examples for two and three positive integers

  • Division and Remainders ↗

    Opening examples and Check by Multiplying: quotient, remainder and divisor relation

  • Even and Odd Numbers ↗

    Definitions, zero, addition/subtraction and multiplication tables; omit the English-spelling aside

  • Powerful Finale ↗

    Problem and Student Solutions: powers of 3, repeated unit digits and exponent position

  • Place Value ↗

    Ten digits, tens/hundreds, zero placeholders and expanded-value examples

  • Counting Factors ↗

    Problem: Alison and Charlie’s 360 methods; Getting Started: 12; Holly’s 24-factor calculation. Exclude extension minimisation claims

  • Remainders of powers ↗

    Initial powers-of-2 table modulo 7 and Key Question explanation of the repeating remainder; no spreadsheet required

  • Digital Book ↗

    Problem and Student Solutions: one-, two- and three-digit blocks when numbering pages 1 through 320

Whole chapter reading