Step by Step Transformation problems involve applying a single, simple operation to the input at each step. Common operations include reversing words, shifting letters, adding prefixes, capitalizing letters, removing vowels, swapping letters, and converting numbers to word lengths. You must identify the rule and determine the output after a specified number of steps.

Conditional Coding Rules problems apply different transformation rules based on the type or properties of each input element. Common distinctions include: digits vs words, vowels vs consonants, even vs odd numbers, and uppercase vs lowercase. You must identify which rule applies to each element type and apply the correct transformation.

Multi-Stage Number-Word Sorting problems involve multiple steps where numbers and words are separated, sorted, transformed, and recombined. Typical steps include: separating numbers from words, sorting numbers in ascending/descending order, sorting words alphabetically, reversing elements, capitalizing words, doubling numbers, and alternating operations. These problems test your ability to apply sequential transformations accurately.

Multi-Stage Logic problems combine sorting, number operations, string manipulation, and alternating transformations across multiple steps. These are among the most challenging Input-Output problems, requiring careful tracking of state changes through 3-5 transformation steps. Common operations include number-word separation, sorting, doubling numbers, uppercasing words, character replacement (e.g., 'A'→'*'), and alternating reversals.

Advanced Coding Decoding problems involve encoding words or numbers using letter shifts, positional arithmetic (sum, product of positions), or alternate encoding (letter followed by its position). You must decode the pattern or apply it to new inputs. These problems test your knowledge of alphabet positions and arithmetic operations.

Matrix Transformation problems involve applying geometric transformations to a grid of numbers. Common transformations include transpose (rows become columns), rotation (90° clockwise/anticlockwise), horizontal flip (left-right mirror), vertical flip (top-bottom mirror), and diagonal sum (sum of each diagonal). These problems test spatial reasoning and matrix manipulation skills.

Logical Operations problems involve bitwise operations on numbers such as AND, OR, XOR, left shift, right shift, and bit counting (population count). These problems test understanding of binary representation and bitwise logic. They are common in computer science-oriented aptitude tests.

Pattern Completion problems present a sequence of numbers with a hidden pattern. You must identify the pattern and determine the next number(s) in the sequence. Common patterns include arithmetic progression (constant difference), geometric progression (constant ratio), Fibonacci (sum of previous two), prime numbers, squares, cubes, alternating operations (add then multiply), and other mathematical relationships.

Symbol Substitution problems replace each digit in a number with a specific symbol (e.g., @, #, $, %, &, *, !, ?). The mapping between digits and symbols is provided or can be deduced from examples. You must encode numbers into symbol strings or decode symbol strings back to numbers.

Function Composition problems apply multiple transformation functions in sequence to an input string. Each function performs a specific operation (reverse, uppercase, lowercase, shift letters, remove vowels, double letters, etc.). You must apply the functions in the given order and determine the final output.