Paper I · 16 Logical Reasoning, Analytical Ability & Data Interpretation · 16.15 Logic puzzles and problem solving

16.15.1 Cryptarithms: letter-to-digit sums and products

In a cryptarithm each letter is a different digit; solve it column by column from the units, using three levers — the carry (never more than 1 when two numbers are added), the leading digit (never 0, and 1 when the sum gains a digit) and unit-digit patterns.

  • TGPSC MPSO / ASO · Paper I
  • Standard level
  • 7 min read
  • Full course

Key terms

  • cryptarithm
  • alphametic
  • letters for digits
  • missing digits
  • carry
  • column addition
  • leading digit
  • unit digit
  • reversal number
  • automorphic number
  • digit puzzle

What this note covers

  1. Core factsFoundation
  2. ExplainedStandard
  3. DeeperAdvanced
  4. Common trapsFoundation
  5. Quick revisionFoundation

Read the full note in the app. It is part of the TGPSC MPSO / ASO full course in Medha AI. Free in the app: the first chapter of each topic.

Read the full note in the app Logical Reasoning, Analytical Ability & Data Interpretation questions with answers

All Logic puzzles and problem solving notes · TGPSC MPSO / ASO syllabus · TGPSC ASO Paper I Mock 1 with answers · Start free

Medha AI writes its own notes and checks them against the sources listed. Medha AI is an independent preparation service. It is not affiliated with, endorsed by or connected to APPSC, TGPSC (formerly TSPSC), MPSC, UPSC or any other commission or government body.