By the end of this chapter you'll be able to…

  • 1Apply the position-counting formula to find the total in a row or ranking
  • 2Solve classification (odd-one-out) questions by testing a candidate rule against every item
  • 3Trace multi-step input-output machine problems accurately, step by step
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Why this chapter matters in RRB NTPC
This topic gathers three related skills — position counting, classification, and input-output tracing — unified by the same discipline of working step by step explicitly rather than jumping to an answer, which is where nearly all errors in each sub-type occur.

Analytical Reasoning — RRB NTPC Reasoning

This topic carries roughly 8% of General Intelligence & Reasoning's 30 questions. It gathers three related but distinct skills: counting total positions in a row/rank, classifying items by a shared hidden rule, and tracing a multi-step "input-output" transformation.


1. What RRB NTPC actually asks

Expect "position from left/right, find the total" ranking problems, classification/odd-one-out questions (find the item that doesn't share the others' rule), and input-output machine problems (trace a sequence of numbers or words through a stated series of transformation steps).


2. Position-counting formula

If a person's position is known from both ends of a row or ranking (e.g., "7th from the left, 12th from the right"), the total count is: (position from left − 1) + (position from right − 1) + 1, which simplifies to (position from left + position from right − 1).


3. Classification (odd one out)

Test every item in the group against a single candidate shared rule (all are prime, all are perfect squares, all are perfect cubes, all belong to the same category). The item that fails the rule the other items satisfy is the odd one out. Always verify the rule against ALL the remaining items, not just a couple.


4. Input-output machine problems

These give a starting sequence (numbers or words) and a series of steps (e.g., "Step 1: arrange in descending order," "Step 2: subtract 5 from each"), then ask for the sequence after a specific step, or after all steps. Work through the steps in exact order, writing out the full intermediate sequence at each stage — never try to skip ahead or combine steps mentally.


Worked examples

Question 1 of 2

Q1. In a row of children, Rohan is 7th from the left and 12th from the right. How many children are in the row?

Pick an option to check your answer.

Show explanation

Solution. Using the formula: total = (position from left − 1) + (position from right − 1) + 1 = (7−1) + (12−1) + 1 = 6 + 11 + 1 = 18.

An equivalent shortcut: total = position from left + position from right − 1 = 7 + 12 − 1 = 18. Answer: (b).

Question 2 of 2

Q2. Find the odd one out: 8, 27, 64, 100, 125

Pick an option to check your answer.

Show explanation

Solution. Testing each number as a perfect cube: 8=2³, 27=3³, 64=4³, 125=5³ — all four are perfect cubes. 100 is not a perfect cube (it's 10², a perfect square instead), breaking the shared rule.

Answer: (c).


6. Common traps

  • Forgetting to subtract 1 (avoiding double-counting the person themselves) in the position-counting formula. The correct combined formula is (left + right − 1), not simply (left + right).
  • Testing the classification rule against only some of the items, not all of them — the true rule must hold for every item except the odd one out.
  • Skipping or combining input-output steps mentally instead of writing out each intermediate sequence explicitly — this is where nearly all errors in this sub-topic occur.
  • Applying a transformation step to the wrong (original instead of updated) sequence in a multi-step input-output problem.

7. Guessing strategy

For classification questions, testing the two or three most "similar-looking" items against a candidate rule first (rather than testing every item exhaustively) often reveals the shared rule quickly, after which the odd one out becomes obvious by elimination.


Summary

  • Analytical Reasoning is roughly 8% of General Intelligence & Reasoning's 30 CBT 1 questions.
  • Position-counting formula: total = position from left + position from right − 1.
  • For classification questions, test a candidate rule against every item, not just a couple.
  • For input-output problems, write out each intermediate sequence explicitly, applying steps in exact stated order.
  • Never apply a transformation step to the original sequence instead of the most recently updated one.

Key formulas & results

Everything to memorise for the exam hall, in one card. Screenshot this for revision.

Position-counting formula
total in row/rank = position from left + position from right − 1
Equivalent to (left−1)+(right−1)+1 — subtracting 1 avoids double-counting the person themselves.
Classification method
test a single candidate rule against EVERY item; the one that fails is the odd one out
Input-output discipline
write out the full intermediate sequence after each step explicitly, applying steps in exact stated order
Never skip steps or apply a step to the original sequence instead of the most recently updated one.
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Traps RRB NTPC sets — and how to dodge them

These are the exact option-traps and misreads that cost marks under negative marking.

WATCH OUT
Forgetting to subtract 1 in the position-counting formula
The correct formula is (left + right − 1), not simply (left + right) — this avoids double-counting the person's own position.
WATCH OUT
Testing a classification rule against only some of the items
The candidate rule must be verified against EVERY item in the group except the odd one out, not just the two or three that seem to fit.
WATCH OUT
Skipping or combining input-output steps mentally
Write out the full sequence after each individual step — combining steps mentally is where nearly all errors in this sub-topic occur.
WATCH OUT
Applying a transformation step to the original sequence instead of the updated one
Each step always operates on the RESULT of the previous step, never on the original input sequence.

Exam-pattern practice

PYQ-style questions with full solutions. Work through them as a readiness check — mark yourself honestly and get your gap report at the end.

Readiness check

Are you exam-ready for Analytical Reasoning?

8 problems from this chapter. Try each one, reveal the worked solution, mark yourself honestly — get your gap report at the end.

8 questions~6 min

5-minute revision

The whole chapter, distilled. Read this the night before the exam.

  • Analytical Reasoning is roughly 8% of General Intelligence & Reasoning's 30 CBT 1 questions.
  • Position-counting formula: total = position from left + position from right − 1.
  • For classification questions, test the candidate rule against EVERY item, not just a couple.
  • For input-output problems, write out each intermediate sequence explicitly, in exact stated step order.
  • Never apply a transformation step to the original sequence instead of the most recently updated one.

RRB NTPC question blueprint

How this topic is asked, tier by tier — so you can prep to the pattern.

Typical weightage: Roughly 8% of General Intelligence & Reasoning's 30 questions in CBT 1 (each worth +1/−1/3)

Question styleMarks eachTypical countWhat it tests
Position counting1~2Row/ranking total-count problems
Classification1~3Odd-one-out questions across numbers, words, and letter pairs
Input-output1~1-2Multi-step sequence transformation tracing
Prep strategy
  • First pass: memorise the position-counting formula and drill it on simple row/ranking problems.
  • Second pass: practice classification questions across numbers, words, and letters to build pattern-recognition speed.
  • Final pass: drill input-output problems specifically, writing out every intermediate step without exception.

Exam-hall strategy

Battle-tested tips from mentors and toppers for this topic under the sectional clock.

  1. For position-counting problems, apply the (left + right − 1) formula directly rather than trying to visualise the full row.
  2. For classification questions, quickly test 2-3 likely candidate rules (numeric property, category, pattern) before settling on one.
  3. For input-output problems, always write out the full sequence after every step — never attempt to shortcut or skip ahead.

Beyond the exam

Where this skill shows up in the job you're competing for — and in life.

Data pipeline and ETL processing

Input-output machine problems directly parallel tracing data through a multi-step transformation pipeline in data engineering.

Ranking and leaderboard systems

Position-counting logic is used directly in computing total participant counts from partial ranking information in leaderboards and competitions.

Where else this topic is tested

Prepare once, score in every exam that asks it.

SSC CGL / CHSL ReasoningVery high overlap — classification and position-counting are core, heavily-tested topics across nearly all government exams' reasoning sections
Bank PO / Clerk ReasoningVery high overlap, particularly for input-output machine questions, which are a signature banking-exam question type

Questions aspirants ask

Pulled from the Q&A community and mentor sessions.

Adding the position from left and the position from right directly counts the person themselves twice (once from each direction) — subtracting 1 corrects for this double-count.

Write out the complete sequence after each individual step, rather than trying to track the transformation mentally or combine multiple steps at once — this is the single most effective error-prevention habit for this sub-topic.
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