Ranking and Order — Study Notes

Overview

Ranking and Order problems test your ability to determine the position of individuals or objects in a linear arrangement based on given conditions. In SSC MTS, expect 1–2 questions per paper, making this a scoring topic if you master the method.

These questions typically give you partial information about ranks from the top, bottom, or both ends of a line, or about positions in a sequence. You must calculate missing ranks, total number of people in the line, or relative positions. The key skill is translating verbal statements into mathematical relationships. Unlike complex seating arrangements, ranking questions are straightforward — most can be solved in under a minute using simple formulas and logical deduction.

Mastery requires understanding three core relationships: how top and bottom ranks connect, how overlapping information reveals totals, and how to count people between two positions. Practice 15–20 problems to internalize the patterns, and you'll handle any ranking question confidently on exam day.

Key Concepts

• **Single-line arrangement**: All persons stand in one straight line or queue. Positions are counted from either the left/top end or the right/bottom end.

• **Rank from top vs. rank from bottom**: If someone is 5th from top and 12th from bottom, these two pieces of information together reveal the total number of people in the line.

• **The fundamental formula**: Total = Rank from top + Rank from bottom − 1. The "−1" accounts for the person being counted twice.

• **Persons between two positions**: If A is at position m and B is at position n (both counted from the same end), the number of persons between them is |m − n| − 1.

• **Overlapping ranks**: Sometimes two people swap positions or you're given conditional ranks. Draw a simple diagram or number line to visualize the arrangement.

• **Left-to-right equals top-to-bottom**: In linear arrangements, "from left" and "from top" are interchangeable, as are "from right" and "from bottom" — just directional language.

• **Careful with "including" vs "excluding"**: Questions may ask for positions including or excluding the person in question. Read carefully to avoid off-by-one errors.

Formulas / Key Facts

**1. Total number in line**: Total = Rank from one end + Rank from other end − 1

**2. Rank from bottom when top rank and total known**: Rank from bottom = Total − Rank from top + 1

**3. Rank from top when bottom rank and total known**: Rank from top = Total − Rank from bottom + 1

**4. Persons between two people (same end)**: Between = |Position₁ − Position₂| − 1

**5. Persons between A and B (opposite ends)**: Between = Total − Rank(A from top) − Rank(B from bottom)

**6. If positions interchange**: Carefully update each person's rank from both ends and recalculate total if needed.