Reasoning – Complete Study Material, Questions & Mock Tests

Learn reasoning concepts, understand solving techniques, work through solved examples and practise questions — for TSPSC, APPSC, Telangana Police, AP Police, SSC, UPSC, banking, railway and other State and Central government exams.

Introduction to Reasoning

Reasoning Ability tests how well you think logically and analytically — spotting patterns, drawing valid conclusions and solving structured puzzles — rather than testing subject knowledge. It is usually split into two parts: Verbal Reasoning (analogy, series, coding-decoding, blood relations, syllogism, puzzles) built on words, letters and numbers, and Non-Verbal Reasoning built on figures, diagrams and images.

Nearly every competitive exam — TSPSC, APPSC, SSC, UPSC, banking, railway and police recruitment — carries a dedicated Reasoning section, because it is considered a fair test of trainable thinking skill rather than rote memory.

The fastest way to improve is to learn each topic's method first (draw the family tree, draw the compass, draw the Venn circles), solve a few questions slowly and correctly, and only then build speed through repetition. As with aptitude, accuracy comes first — a fast wrong answer costs more than a slow right one under negative marking. Use the worked examples and Quick Revision cards below to revise, then practise with the MCQ bank and mock test.

Analogy

Word Analogy Number Analogy Alphabet Analogy Letter-Number Analogy Meaning-Based Analogy

Analogy asks you to find the relationship between a given pair, then apply the same relationship to a second pair. First name the relationship in plain words (e.g. "part-to-whole", "worker-to-tool", "cause-to-effect") before searching the options — guessing without naming the relationship is the most common source of errors.

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Classification

Word Classification Number Classification Alphabet Classification Odd One Out Pattern-Based Classification

Classification (Odd One Out) asks which item does not belong with the rest. Check the group against several possible rules in turn — category (all fruits vs. one vegetable), property (all prime vs. one composite) and pattern (all follow a letter-shift rule) — since the "obvious" rule is sometimes a deliberate trap.

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Series

Number Series Alphabet Series Alphanumeric Series Missing Number Series Mixed Series

Check, in order: a constant difference, a constant ratio, differences that themselves form a series (2nd-order difference), squares/cubes with an offset, or two interleaved series (alternate terms follow separate rules).

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Coding and Decoding

Letter Coding Number Coding Symbol Coding Substitution Coding Mixed Coding-Decoding

Find the coding rule from the given example (a fixed letter-shift, a reversed order, a substitution table) and apply the identical rule to the new word — never assume the rule; derive it letter by letter from what is given.

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Blood Relations

Family Relationships Direct Relations Coded Relations Family Tree Problems Generation-Based Questions

Draw the family tree with each generation on its own horizontal line, oldest at the top. Join a married couple with a double line and drop a line to their children. Mark gender as + (male) / − (female) / ? (not stated) as you learn it.

Work from the innermost phrase outward. In "his daughter's mother is the daughter-in-law of my father", resolve "his daughter's mother" to his wife first, then place her in the speaker's family — attempting the whole sentence at once is the usual mistake.

Read Blood Relations in Detail →

Direction Sense Test

Left/Right Turns Distance-Based Problems Shadow-Based Problems Direction-Based Puzzles

Track two running totals — net North–South and net East–West — and let opposite movements cancel. The straight-line distance back to the start is the hypotenuse: √(NS² + EW²).

Right turn: North→East→South→West→North. Left turn: North→West→South→East→North.

Turns are relative to the current facing, not the page. A person facing South who turns left is now facing East. And always check whose direction is being asked — "direction of A from B" is the opposite of "direction of B from A".

Read Direction Sense in Detail →

Ranking, Order and Seating Arrangement

Position from Left/Right Rank from Top/Bottom Linear Arrangement Circular Arrangement Facing Centre / Outside

Total persons = (Rank from top) + (Rank from bottom) − 1

Rank from bottom = Total persons − Rank from top + 1

In a circular arrangement facing the centre, clockwise and anticlockwise directions are the reverse of what they are when everyone faces outward — decide which way the group faces before assigning left/right.

For a seating arrangement puzzle: list every clue first, place the most specific/fixed clue first (a person at a fixed end or seat number), then work outward using the relative clues, marking each seat as you fix it.

Read Ranking & Seating Arrangement in Detail →

Syllogism

Statements Conclusions Venn Diagram Method Possibility Cases Coded Syllogisms
StatementMeaningValid conversion
All A are BA sits entirely inside BSome B are A
No A is BA and B do not overlapNo B is A
Some A are BA and B overlap partlySome B are A
Some A are not BPart of A lies outside Bno valid conversion

Statements are taken as true even when they contradict the real world (accept "All cats are birds" for the purposes of the question), and a conclusion must follow from every possible Venn diagram that satisfies the statements — not just the one that seems most likely.

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Logical Puzzles

Floor-Based Puzzles Box-Based Puzzles Scheduling Puzzles Age-Based Puzzles Comparison Puzzles Distribution Puzzles

Puzzles combine several reasoning skills — ranking, blood relations, direction, comparison — into one multi-clue question. List every clue first, fill in whatever is stated directly (fixed positions, exact ages), then use elimination on the remaining clues one at a time rather than trying to solve everything at once.

Non-Verbal Reasoning

Figure Classification Figure Analogy Figure Series Mirror Images Water Images Paper Folding Paper Cutting Embedded Figures Figure Completion

Mirror image: left and right are reversed (as in a vertical mirror). Water image: top and bottom are reversed (as in a reflection on still water).

Read Non-Verbal Reasoning in Detail →

Other Reasoning Topics

Additional topics that appear less frequently, with a short pointer for each. Detailed standalone pages for the ones without a link yet are being added.

Statement & Argument

Judge whether an argument is "strong" (directly relevant and substantial) or "weak" (based on a minor point or a hypothetical).

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Statement, Assumption & Conclusion

An assumption is something taken for granted, unstated, without which the statement would not make sense.

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Assertion & Reason

Decide if the Assertion is true, if the Reason is true, and if the Reason correctly explains the Assertion.

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Data Sufficiency

Decide only whether each statement gives enough information to answer — do not actually solve for the value unless required.

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Inequalities

Coded inequality chains (A > B = C ≤ D) are solved by combining the symbols step by step, the same way as a mathematical inequality chain.

Read in detail →

Clock & Calendar

Clock angle = |30H − 5.5M| degrees. A normal year has 1 "odd day", a leap year has 2.

Read in detail →

Cause & Effect

An effect must happen after its cause and be a direct result of it — two events that are simply related in time are not automatically cause and effect.

Venn Diagrams

Draw overlapping circles for each group; the overlapping region represents items common to both (or all three) groups.

Mathematical Operations

When symbols are substituted for operators (e.g. "+" means "×"), rewrite the whole expression with real operators first, then calculate using BODMAS.

Alphabet Test

Quick-reference positions for the English alphabet — the basis for letter-based series, coding-decoding and ranking questions.

LetterPos.LetterPos.
A1N14
B2O15
C3P16
D4Q17
E5R18
F6S19
G7T20
H8U21
I9V22
J10W23
K11X24
L12Y25
M13Z26

Position from the other end = 27 − (position from this end). For example, D is the 4th letter from the start, so it is the (27 − 4) = 23rd letter from the end.

Reasoning Tricks and Shortcuts

  • Number series: check simple differences first, then differences-of-differences, then squares/cubes with a constant offset, before assuming a complex pattern.
  • Coding-decoding: compare letter positions (A=1…Z=26) between the given word and its code to find the shift or pattern, rather than guessing.
  • Blood relations: always draw the family tree; never try to hold more than two generations in your head.
  • Directions: recognise common right-triangle number triples (3-4-5, 5-12-13, 8-15-17) to get the final distance without squaring anything.
  • Ranking: Total = (rank from left) + (rank from right) − 1 — use this to find any one of the three values from the other two.
  • Seating arrangement: fix the most specific clue (an exact seat or a fixed end) before the relative ones ("sits next to", "two seats away").
  • Syllogism: draw the Venn circles for every possible case; a conclusion is valid only if it holds in all of them.
  • Clock: the minute hand gains 5.5° per minute over the hour hand (6° minus the hour hand's 0.5°) — use this single rate for most clock-angle questions.
A shortcut is only valid when its condition holds. The 27-minus-position rule only works for a 26-letter alphabet with no letters skipped; the right-triangle triples only help when the two given legs actually match one of the triples. Verify the full method a few times before relying on a shortcut under exam pressure.

Solved Reasoning Questions

Coding-Decoding

If CAT is coded as DBU, how is DOG coded in the same language?

Given: CAT → DBU

Approach: Compare each letter's position with its code letter's position.

Solution: C(3)→D(4), A(1)→B(2), T(20)→U(21) — every letter shifts forward by 1. Applying the same rule: D(4)→E(5), O(15)→P(16), G(7)→H(8).

Answer: EPH

Series

Find the next number in the series: 2, 6, 12, 20, 30, ?

Given: 2, 6, 12, 20, 30, ?

Approach: Look at the differences between consecutive terms.

Solution: Differences are 4, 6, 8, 10 — increasing by 2 each time, so the next difference is 12. Each term also equals n × (n + 1): 1×2=2, 2×3=6, 3×4=12, 4×5=20, 5×6=30, so the next term is 6×7=42.

Answer: 42

Blood Relations

Pointing to a photograph, a man said, "She is the daughter of my grandfather's only son." How is the woman related to the man?

Given: The man's grandfather has only one son.

Approach: Identify who "my grandfather's only son" must be.

Solution: The man himself is a descendant of his grandfather through his father, so his father is definitely one of the grandfather's sons. Since the grandfather has only one son, that son must be the man's father. "Daughter of my father" is the man's sister.

Answer: Sister

Direction Sense

A man walks 5 km towards North, then turns right and walks 3 km, then turns right again and walks 5 km. How far is he from the starting point, and in which direction?

Given: North 5 km → right turn, 3 km → right turn, 5 km

Approach: Track net North–South and net East–West movement.

Solution: Facing North, turning right faces East (3 km East); turning right again faces South (5 km South). Net North–South = 5 km North − 5 km South = 0. Net East–West = 3 km East.

Answer: 3 km, to the East of the starting point

Ranking

In a class of 40 students, Ravi ranks 14th from the top. What is his rank from the bottom?

Given: Total students = 40, Rank from top = 14

Formula: Rank from bottom = Total − Rank from top + 1

Solution: 40 − 14 + 1 = 27

Answer: 27th from the bottom

Practice Reasoning Questions

Practise questions covering Analogy, Classification, Series, Coding-Decoding, Blood Relations, Direction Sense, Ranking, Syllogism, Seating Arrangement, Puzzles, Venn Diagrams, Data Sufficiency and Non-Verbal Reasoning.

150 practice questions available

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Reasoning Mock Test

A 20-question multiple choice test on Reasoning Ability.

20 Questions · 20 Minutes · Instant Score & Correct/Wrong Answers

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Reasoning Previous Questions

Practise Reasoning in the pattern commonly followed by these examinations. CompeteBits does not claim a question came from a specific official examination unless the source is verified. For verified, question-by-question previous year papers with worked solutions, see Previous Papers and the Study Materials reasoning pages linked above.

Frequently Asked Questions

What is Reasoning Ability?

Reasoning Ability tests logical and analytical thinking through pattern recognition and structured problem-solving, using topics like analogy, series, coding-decoding, blood relations, syllogism, seating arrangement and non-verbal reasoning.

What are the important reasoning topics?

The most important topics are Analogy, Classification, Series, Coding-Decoding, Blood Relations, Direction Sense, Ranking, Syllogism, Seating Arrangement, Puzzles and Non-Verbal Reasoning.

How can I improve reasoning speed?

Practise the same question types repeatedly so you recognise the pattern instantly, memorise alphabet positions and direction rules, and draw diagrams (family trees, seating layouts) quickly rather than reasoning in your head.

How can I improve reasoning accuracy?

Solve using the full method (draw the diagram, list every clue) before relying on shortcuts, re-read exactly what is being asked (for example, whose direction or relation is required), and verify your answer against every given condition.

What are the most important reasoning questions?

Series, Coding-Decoding, Blood Relations, Direction Sense, Seating Arrangement and Syllogism are tested most frequently across TSPSC, APPSC, SSC, banking and police exams.

How can I prepare reasoning for SSC?

SSC exams cover Analogy, Classification, Series, Coding-Decoding, Blood Relations, Direction Sense, Ranking, Syllogism, Seating Arrangement, Puzzles and Non-Verbal Reasoning. Practise topic-wise, then attempt full mock tests under time pressure.

How can I prepare reasoning for banking exams?

Banking exams emphasise Seating Arrangement, Puzzles, Syllogism, Data Sufficiency and Coding-Decoding, usually at a higher difficulty than SSC. Practise multi-clue puzzles specifically, since they take the most time.

How can I prepare reasoning for TSPSC and APPSC?

TSPSC and APPSC General Studies papers test core reasoning topics such as Analogy, Series, Coding-Decoding, Blood Relations, Direction Sense and Ranking, usually at a foundational to moderate difficulty level.

Where can I practice reasoning questions?

You can practice Reasoning multiple-choice questions on CompeteBits, covering Analogy, Classification, Series, Coding-Decoding, Blood Relations, Direction Sense, Ranking, Syllogism and Non-Verbal Reasoning.

Where can I take a reasoning mock test?

You can attempt a timed Reasoning mock test on CompeteBits with instant scoring and correct/wrong answers.