Ranking & Order Test for SSC MTS — Complete Study Guide

beginner 18 min read

Concept

Ranking and Order tests ask you to figure out where a person or object sits in a sequence — by weight, speed, height, marks, or literally their position in a row. The question gives you a set of comparative statements, and you have to build a single ordered chain from them.

Think of it like a queue outside a government office. Someone tells you: "Raju is ahead of Priya, but behind Mohan." Another person says: "Priya is not last." From these fragments, you reconstruct the exact queue. That is ranking and ordering in a nutshell.

Two broad question types show up in SSC MTS:

Type 1 — Simple row/queue problems. A person's rank from the top and total count are given, and you derive rank from the bottom (or vice versa). These use one formula and take under 30 seconds if you know it cold.

Type 2 — Constraint-based ordering. A group of people or objects are compared across several clues. No single clue gives you the full picture. You chain the clues together to build the complete order. The six-person magazine problem and the seven-boys weight problem (both from real MTS papers) are classic examples.

The core skill here is not imagination — it is systematic elimination. You don't need to guess or visualize creatively. You write partial chains, merge them, and the order falls out. Every question of this type has exactly one valid arrangement that satisfies all clues simultaneously. Your job is to find it without leaving any clue unused.

One analogy that helps: treat each clue as a piece of a jigsaw. A single piece tells you almost nothing. But once you identify which pieces share an edge, the picture assembles quickly. The mistake most test-takers make is staring at the pieces one by one instead of looking for the connectors.


Deep Dive

The Core Formula (Type 1 — Row Problems)

If you know a person's rank from the top and the total number of people in the row:

Rank from bottom=TotalRank from top+1\text{Rank from bottom} = \text{Total} - \text{Rank from top} + 1

And the reverse:

Total=Rank from top+Rank from bottom1\text{Total} = \text{Rank from top} + \text{Rank from bottom} - 1

Example: In a class of 40 students, Asha ranks 14th from the top. Her rank from the bottom is 40 - 14 + 1 = 27.

Example: A person ranks 8th from the front and 12th from the back in a row. Total people = 8 + 12 - 1 = 19.

These are mechanical — get them right every single time by writing the formula once on your rough sheet before applying it.

Constraint-Based Ordering (Type 2 — The Real Skill)

Here is a systematic four-step method. Do not skip steps, even when the problem looks simple.

Step 1: Extract all direct comparisons. Go through each clue and write a simple inequality or sequence fragment. Use > for "heavier/faster/taller/ahead of". Example: "B5 is less than only one boy" → B5 is 2nd from the top → write ? > B5.

Step 2: Find anchor statements. An anchor is a clue that fixes an absolute position — "first", "last", "second", "not first or last". These are gold. Lock them in immediately because they constrain everything else.

Step 3: Build partial chains. Connect your fragments wherever they share a common element. If you have A > B and B > C, merge to A > B > C. Keep extending until you have one chain (or discover a branch that eliminates an option).

Step 4: Verify every clue against your final order. This takes 20 seconds and saves you from silly errors. Check each original statement against your arrangement. If even one clue is violated, your order is wrong.

Reading "Less than only one" and Similar Phrases

These are traps for the careless reader. Here is how to decode them:

Take 5 extra seconds to parse these phrases. A wrong read here cascades through the entire solution.

Handling "Between" Clues

When a clue says "there were as many readers between P and T as between R and P," it means the gap (number of people between them) is equal. If P is at position 3 and the gap on each side is 2, then T is at position 1 and R is at position 5 (or the reverse). You need to test both directions and see which one satisfies all other constraints.

When Multiple Arrangements Seem Valid

If you build an order and two people seem interchangeable, re-read the clues. Nine times out of ten, you missed a clue or read one loosely. Go back to Step 4 and check every clue. SSC MTS problems at this level always have a unique answer.


Memory Tricks & Shortcuts

patternTOP-BOTTOM FORMULA: Write It First

Before reading the question, write on your rough sheet: Total = Top + Bottom - 1. The moment you see a row-ranking question, apply it directly. No re-derivation needed. Standard method (re-deriving each time): ~40 seconds. Using the written formula: ~10 seconds. Four such questions in a paper saves you over 2 minutes.

eliminationANCHOR FIRST: Lock Absolutes Before Relatives

In any constraint-ordering problem, scan all clues and circle the one that says "first", "last", "not first", "only one above/below". Place that person on the chain before touching any other clue. This eliminates 2-3 possible arrangements instantly. Without this, you may test 6+ permutations. With it, you typically test 1-2. Step reduction: from ~8 steps to ~4 steps on a 6-person problem.

patternDECODE LESS-THAN-ONLY-ONE IN 5 SECONDS

The phrase "less than only N people" directly maps to rank from top: rank = N + 1. Write this as a mental rule: "less than only 1" = rank 2, "less than only 2" = rank 3, "less than only 0" = rank 1 (top). Similarly "more than only 1" = rank 2 from the bottom. Without this pattern, students re-read the phrase 3-4 times and still misplace the person. With it: instant placement, zero re-reads.

patternCHAIN MERGER: Link by Shared Element

Write each clue as a short chain using >. When two chains share a person, merge them at that person. Example: Clue A gives B5 > B6, Clue B gives B4 = B6 > B1, B7, B3, Clue C gives B2 > B5. Merge at B5 and B6: B2 > B5 > B6 = B4 > B1, B7, B3. Full order appears in 3 merges instead of trial-and-error across 7! = 5040 permutations. Standard trial: 3-4 minutes. Chain merger: 60-90 seconds.

eliminationVERIFY WITH THE HARDEST CLUE LAST

After building your chain, verify clues in order of complexity — simple inequalities first, "between" clues last. If your chain fails the simplest clue, you catch the error early and don't waste time checking complex ones. This reduces average verification time from ~45 seconds to ~20 seconds by stopping at the first failure rather than running all checks on a wrong arrangement.


Fast-Solving Framework

Use this decision tree the moment you see a ranking/order question in the exam hall.

Is the question about a row/queue with rank from top or bottom?

Is it a comparison-based ordering puzzle (weights, speeds, heights)?

  1. Read all clues once, underline absolute-position phrases ("first", "last", "only one above").
  2. Place absolute anchors on your chain immediately.
  3. Write remaining clues as > chains.
  4. Merge chains at shared elements.
  5. If a clue gives equal rank (neither more nor less), treat them as tied and place both at the same level.
  6. Verify every clue. Circle the answer.

Stuck at step 4 (two valid-looking arrangements)?

Target: under 90 seconds for 4-6 person ordering problems. Under 20 seconds for simple row-formula problems.


Solved PYQs

Why this question matters: This is a classic 6-person ordering problem with a "between" clue and a "took from" clue that implicitly fixes the last position. It tests whether you can combine positional and relational clues.

Previous Year Questionपिछले वर्ष का प्रश्न2020
Six persons P, Q, R, S, T and U read a magazine one after another. I. S was neither the first nor the last to read it. II. There were as many readers between P and T as there were between R and P. III. S read it sometime before Q, who read it sometime after U. IV. The one who read it last had taken it from R. Who were the two persons to have read the magazine first and last, respectively?
  1. P and U
  2. T and U
  3. T and Q
  4. P and Q
Solutionसमाधान
Working through the constraints, T reads first and Q reads last, giving the order T → S → P → U → R → Q.

Solving path: Start with Clue I — S is not first or last, so S is in positions 2-5. Clue IV says the last reader "took it from R", meaning R reads just before the last person — R is not last. Clue III says S reads before Q, and Q reads after U. Clue II says the gap between P and T equals the gap between R and P, meaning P is the midpoint of T and R. Test the arrangement where T is first: positions work out as T(1) → S(2) → P(3) → U(4) → R(5) → Q(6). Check all clues: S is not first or last (position 2, valid). Gap P-to-T = 2, gap R-to-P = 2 (valid). S(2) before Q(6), Q after U(4) (valid). Last reader Q took from R(5) (valid). Answer: T first, Q last.


Why this question matters: This tests your ability to decode "less than only one" and use it as an anchor, then chain remaining inequalities correctly.

Previous Year Questionपिछले वर्ष का प्रश्न2021
The weight of seven boys B1, B2, B3, B4, B5, B6 and B7 are compared. The weight of B5 is less than only one boy and more than that of B6. The weight of B4 is neither more nor less than B6 but more than B1, B7, B3. Who weighs the most?
  1. B1
  2. B5
  3. B6
  4. B2
Solutionसमाधान
B5 is less than only one boy, meaning B5 is second heaviest. That one boy heavier than B5 is B2. So B2 weighs the most.

Solving path: "B5 is less than only one boy" → B5 is 2nd heaviest. "B5 is more than B6" → B6 is below B5. "B4 is neither more nor less than B6" → B4 = B6 (same rank effectively). "B4 is more than B1, B7, B3" → B1, B7, B3 are below B4. Since B5 is 2nd, there is exactly one person above B5. That person is not B6, B4, B1, B7, or B3 (all shown to be below B5). The only remaining person is B2. So B2 is the heaviest.


Why this question matters: This tests careful reading of contradictory-looking clues ("more than only one car" vs "more than four cars") to extract the real intent, and then building the chain.

Previous Year Questionपिछले वर्ष का प्रश्न2022
Speed of five cars C1, C2, C3, C4 and C5 are compared. Speed of C1 is more than only one car. Speed of C1 is more than four cars. Speed of C4 is more than C1 but less than C3 and C5. Speed of how many cars is less than the speed of C3?
  1. 0
  2. 1
  3. 3
  4. 2
Solutionसमाधान
From the clues, the order is C5 > C3 > C4 > C1 > C2 (or similar). C3 is second fastest, so exactly C1 and C2 (2 cars) have speed less than C3... wait the explanation says C1, C2, C4 are less than C3, giving 3 cars. Actually re-reading: C5 > C3 > C4 > C1 > C2, so three cars (C4, C1, C2) are slower than C3, answer is 3.

Solving path: Read carefully — "Speed of C1 is more than only one car" means C1 is 2nd from the bottom (4th from the top out of 5). "C4 is more than C1 but less than C3 and C5" → C3 > C4 > C1 and C5 > C4 > C1. Chain so far: {C3, C5} > C4 > C1 > {one car}. The one car slower than C1 must be C2 (the only one unplaced). So the full order is C5 > C3 > C4 > C1 > C2. Cars slower than C3: C4, C1, C2 — that is 3 cars. Answer: 3.


Common Mistakes


Related Topics

Practice on SarkariRise

Sign up + get 3 free mocks →