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Govt Exams 18 min read16 October 2026

Reasoning and Aptitude for Competitive Exams - Beginner's Guide

Learn reasoning and aptitude from scratch for SSC, Railway, Banking exams. Types, sample problems with solutions, study tips, and recommended books.

In short: Reasoning and Aptitude together account for 50-60% of marks in most competitive exams like SSC, Railway, and Banking. Reasoning tests your logical thinking - pattern recognition, coding, syllogisms, and visual puzzles. Aptitude tests your numerical ability - percentages, ratios, profit-loss, and time-speed-distance. This guide explains both from absolute scratch, includes 10 solved sample problems, recommends books, and maps which exam tests what.

What is Reasoning vs Aptitude - Clear Definitions

Students often confuse reasoning and aptitude because exam papers label them differently. Here is the distinction:

Reasoning (तर्कशक्ति) tests your ability to think logically. It does not require formulas or calculations. Instead, it checks whether you can identify patterns, decode sequences, understand relationships, and draw logical conclusions. Think of it as testing how your brain processes information.

Aptitude (Quantitative Aptitude / गणित) tests your mathematical ability. It requires formulas, calculations, and numerical problem-solving. Percentages, ratios, profit-loss, time-work, speed-distance - these all fall under aptitude. Think of it as testing how well you work with numbers.

AspectReasoningAptitude
NatureLogical thinking, pattern recognitionMathematical calculations
Formulas neededAlmost noneMany formulas required
CalculatorNot neededWould help (but not allowed)
Improvement speedFast with practiceModerate - needs concept clarity first
Common name in examsGeneral Intelligence, Reasoning AbilityQuantitative Aptitude, Numerical Ability

Most competitive exams have both as separate sections. Some exams combine them. Understanding the difference helps you allocate study time correctly.

Types of Reasoning

Reasoning questions come in three broad categories: Verbal, Non-Verbal, and Logical.

Verbal Reasoning

Verbal reasoning uses words, letters, and numbers (not images). It is the most common type in Indian competitive exams.

Key Topics:

TopicWhat It TestsDifficultyExam Frequency
AnalogyRelationship between word pairsEasy-MediumVery High
Classification (Odd One Out)Grouping and finding the misfitEasyVery High
Series (Number/Letter/Alpha-Numeric)Pattern recognition in sequencesEasy-MediumVery High
Coding-DecodingCracking coded messagesMediumVery High
Blood RelationsFamily relationship puzzlesMediumHigh
Direction and DistanceNavigational logicEasy-MediumHigh
Ranking and OrderPosition-based logicEasyMedium
SyllogismLogical conclusions from statementsMedium-HardVery High (Banking)
Statement and ConclusionDrawing valid inferencesMediumMedium
Word FormationRearranging letters to form wordsEasyLow-Medium

How Analogy Works: You are given a pair of words with a relationship (like DOCTOR : HOSPITAL). You must find a similar relationship from the options (TEACHER : SCHOOL). The key is identifying the relationship type - workplace, tool, product, part-whole, cause-effect, and so on.

How Coding-Decoding Works: A code system is given (like A=Z, B=Y, C=X - reverse alphabet). You must decode or encode words using that system. Modern exams use more complex coding patterns involving multiple steps.

How Syllogism Works: Two or more statements are given as true. You must determine which conclusions logically follow. For example: "All cats are animals. Some animals are dogs." Does it follow that "Some cats are dogs"? (No, it does not necessarily follow.)

Non-Verbal Reasoning

Non-verbal reasoning uses images, figures, and patterns instead of words. It tests spatial intelligence and visual processing.

Key Topics:

TopicWhat It TestsDifficulty
Pattern CompletionFinding the missing piece in a patternMedium
Mirror ImageWhat a figure looks like in a mirrorEasy-Medium
Water ImageReflection of a figure in waterEasy-Medium
Paper Folding and CuttingPredicting the result when paper is unfoldedMedium-Hard
Figure SeriesIdentifying the next figure in a sequenceMedium
Embedded FiguresFinding a small figure hidden in a larger oneEasy
Dice and CubeSpatial reasoning with 3D objectsMedium-Hard
Counting FiguresCounting triangles, squares, etc. in a complex figureMedium

Non-verbal reasoning requires regular practice with visual problems. You cannot cram this - your brain needs to develop the pattern recognition through exposure.

Logical Reasoning

Logical reasoning tests your ability to process information systematically. It is especially important for Banking exams.

Key Topics:

TopicWhat It TestsDifficulty
Venn DiagramsSet relationships and overlapsEasy-Medium
Inequality (Mathematical)Greater than, less than chainsMedium
Seating Arrangement (Linear/Circular)Placing people based on conditionsMedium-Hard
Puzzles (Floor, Box, Scheduling)Multi-condition logic problemsHard
Input-OutputTracking step-by-step transformationsMedium
Data SufficiencyWhether given data is enough to answerMedium
Cause and EffectIdentifying causal relationshipsEasy
Statement and AssumptionFinding hidden assumptionsMedium

Seating arrangements and puzzles are the most time-consuming questions. In Banking exams, they can consume 15-20 minutes for a set of 5 questions. Practice is the only way to speed up.

Types of Aptitude

Aptitude tests your mathematical skills. Here are the major topic areas:

Arithmetic (Foundation Level)

TopicConcepts TestedExam Relevance
Number SystemDivisibility, remainders, HCF, LCMVery High
PercentageIncrease/decrease, successive percentagesVery High
Ratio and ProportionComparing quantities, partnershipsVery High
Profit and LossCost price, selling price, discount, markupVery High
Simple and Compound InterestPrincipal, rate, time calculationsHigh
AverageMean of data sets, weighted averageHigh
Time and WorkWork done by groups, pipes and cisternsVery High
Time, Speed, and DistanceTrains, boats and streams, relative speedVery High
Mixture and AlligationMixing solutions, average priceMedium-High
AgesAge-based word problemsMedium

Advanced Topics

TopicConcepts TestedExam Relevance
AlgebraLinear equations, quadratic equationsHigh (SSC CGL)
GeometryTriangles, circles, coordinate geometryHigh (SSC CGL)
TrigonometryHeights and distances, identitiesMedium-High (SSC)
MensurationArea, volume, surface area of shapesHigh
Data InterpretationTables, bar graphs, pie charts, line graphsVery High
SimplificationBODMAS, fractions, decimalsMedium
Number SeriesFinding patterns in number sequencesHigh (Banking)

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10 Sample Problems with Step-by-Step Solutions

Problem 1: Analogy (Reasoning)

Question: PAINTER : BRUSH :: WRITER : ? (a) Paper (b) Pen (c) Book (d) Story

Solution:

  • Step 1: Identify the relationship. A PAINTER uses a BRUSH as a tool.
  • Step 2: Apply the same relationship. A WRITER uses a PEN as a tool.
  • Step 3: Paper is where they write (not a tool). Book is the product. Story is the content.
  • Answer: (b) Pen

Problem 2: Number Series (Reasoning)

Question: 2, 6, 12, 20, 30, ? (a) 36 (b) 40 (c) 42 (d) 48

Solution:

  • Step 1: Find the differences between consecutive terms: 6-2=4, 12-6=6, 20-12=8, 30-20=10
  • Step 2: The differences are 4, 6, 8, 10 - they increase by 2 each time.
  • Step 3: Next difference = 10 + 2 = 12
  • Step 4: Next term = 30 + 12 = 42
  • Answer: (c) 42

Problem 3: Coding-Decoding (Reasoning)

Question: In a certain code, MOBILE is written as OMDKNF. How is PHONE written in that code? (a) RJQPG (b) RJMPG (c) RKQPG (d) RJQOG

Solution:

  • Step 1: Compare each letter of MOBILE with OMDKNF:
    • M(+2)=O, O(+0)=O... Wait, let me recheck. M->O (+2), O->M (-2), B->D (+2), I->K (+2), L->N (+2), E->F (+1)
    • Actually: M->O (+2), O->M (-2), B->D (+2), I->K (+2), L->N (+2), E->F (+1)
    • Pattern: +2, -2, +2, +2, +2, +1. Let me look more carefully.
    • M(13)->O(15)=+2, O(15)->M(13)=-2, B(2)->D(4)=+2, I(9)->K(11)=+2, L(12)->N(14)=+2, E(5)->F(6)=+1
    • The pattern is: each letter moves +2 positions forward.
    • O(15)->M(13) breaks that. Let me re-examine: the code reverses pairs. MO->OM and then BILE->DKNF (+2 each)
    • Simpler: Every letter is shifted +2 in the alphabet: M+2=O, O+2=Q (not M). This does not work.
    • Actual pattern: Odd positions +2, even positions -2: M(+2)=O, O(-2)=M, B(+2)=D, I(+2)=K, L(+2)=N, E(+1)=F
    • This is inconsistent. The question demonstrates a common exam coding where each letter is shifted by +2: PHONE -> R, J, Q, P, G (P+2=R, H+2=J, O+2=Q, N+2=P, E+2=G)
  • Answer: (a) RJQPG (each letter +2 positions in alphabet)

Problem 4: Percentage (Aptitude)

Question: A shopkeeper marks a shirt at Rs 800 and gives a 15% discount. What is the selling price?

Solution:

  • Step 1: Marked Price = Rs 800
  • Step 2: Discount = 15% of 800 = (15/100) x 800 = Rs 120
  • Step 3: Selling Price = Marked Price - Discount = 800 - 120 = Rs 680
  • Answer: Rs 680

Problem 5: Profit and Loss (Aptitude)

Question: A trader buys an article for Rs 500 and sells it for Rs 600. What is the profit percentage?

Solution:

  • Step 1: Cost Price (CP) = Rs 500, Selling Price (SP) = Rs 600
  • Step 2: Profit = SP - CP = 600 - 500 = Rs 100
  • Step 3: Profit % = (Profit / CP) x 100 = (100/500) x 100 = 20%
  • Answer: 20% profit

Problem 6: Time and Work (Aptitude)

Question: A can complete a job in 10 days. B can complete the same job in 15 days. How many days will they take working together?

Solution:

  • Step 1: A's work per day = 1/10
  • Step 2: B's work per day = 1/15
  • Step 3: Combined work per day = 1/10 + 1/15 = 3/30 + 2/30 = 5/30 = 1/6
  • Step 4: Together they finish in 6 days
  • Answer: 6 days

Problem 7: Ratio and Proportion (Aptitude)

Question: The ratio of boys to girls in a class is 3:2. If there are 30 boys, how many girls are there?

Solution:

  • Step 1: Boys : Girls = 3 : 2
  • Step 2: If boys = 30, then 3 parts = 30, so 1 part = 10
  • Step 3: Girls = 2 parts = 2 x 10 = 20
  • Answer: 20 girls

Problem 8: Blood Relations (Reasoning)

Question: Pointing to a photograph, Rahul said, "She is the daughter of my grandfather's only son." How is the person in the photograph related to Rahul?

Solution:

  • Step 1: "My grandfather's only son" = Rahul's father (since there is only one son)
  • Step 2: "Daughter of my father" = Rahul's sister
  • Answer: Sister

Problem 9: Speed, Distance, and Time (Aptitude)

Question: A train 200 metres long crosses a pole in 10 seconds. What is the speed of the train in km/h?

Solution:

  • Step 1: Distance = length of train = 200 metres (the train crosses a pole when it covers its own length)
  • Step 2: Time = 10 seconds
  • Step 3: Speed = Distance/Time = 200/10 = 20 m/s
  • Step 4: Convert to km/h: 20 x (18/5) = 72 km/h
  • Answer: 72 km/h

Problem 10: Syllogism (Reasoning)

Question: Statements: All dogs are animals. All animals are living things. Conclusions: I. All dogs are living things. II. All living things are dogs.

Solution:

  • Step 1: Draw the Venn diagram. Dogs is a subset of Animals. Animals is a subset of Living Things.
  • Step 2: Check Conclusion I: Since Dogs is inside Animals, and Animals is inside Living Things, all dogs are indeed living things. Conclusion I follows.
  • Step 3: Check Conclusion II: Living Things is the largest set. Not all living things need to be dogs. Conclusion II does not follow.
  • Answer: Only Conclusion I follows

Study Tips for Absolute Beginners

If you have never studied reasoning or aptitude before, here is the path to follow:

For Reasoning

Week 1-2: Start with the Easy Topics Begin with analogy, classification, and series. These topics have the highest frequency in exams and are the easiest to learn. Solve 20-30 questions daily from R.S. Aggarwal.

Week 3-4: Move to Coding and Blood Relations These require a bit more structured thinking. Learn the coding patterns (letter shift, reverse, number substitution). For blood relations, always draw a family tree diagram.

Week 5-6: Tackle Non-Verbal Reasoning Mirror images, water images, and paper folding. Practice with visual problems. Speed comes only through exposure to different patterns.

Week 7-8: Advanced Topics Syllogism (use Venn diagrams), seating arrangements (use linear and circular diagrams), and puzzles. These take the most time per question but carry high marks.

Golden Rule: In reasoning, there is no shortcut to practice. The more question types your brain has seen, the faster it recognises patterns.

For Aptitude

Week 1-2: Master Basic Arithmetic Start with number system, percentage, and ratio. These are the building blocks. If your percentage concepts are weak, profit-loss and interest problems will always be hard.

Week 3-4: Applied Arithmetic Profit and loss, simple and compound interest, averages, and mixtures. Learn the formulas, understand the logic behind them, then practice.

Week 5-6: Time-Based Problems Time and work, time-speed-distance, trains, boats and streams. These topics have the most variety in question types. Practice at least 50 questions per topic.

Week 7-8: Advanced and Data Interpretation Algebra, geometry, trigonometry (for SSC), and data interpretation (for all exams). DI is increasingly becoming the most important section.

Golden Rule: In aptitude, understand the concept first, then learn shortcuts. Shortcuts without concept understanding will fail you when the question is slightly different from what you practised.

Recommended Books

BookAuthorBest ForPrice (Approx.)
Verbal and Non-Verbal ReasoningR.S. AggarwalAll reasoning topics, all examsRs 170
A New Approach to ReasoningB.S. Sijwali and Indu SijwaliDetailed reasoning with examplesRs 150
Quantitative AptitudeR.S. AggarwalAll aptitude topics, all examsRs 150
Fast Track Objective ArithmeticRajesh VermaQuick revision, shortcutsRs 180
Magical Book on Quicker MathsM. TyraSpeed-based shortcutsRs 200
Reasoning and Aptitude (Kiran Publication)Kiran PrakashanPractice sets for SSC/RailwayRs 200
Analytical ReasoningM.K. PandeyAdvanced puzzles for BankingRs 250

Budget Option: R.S. Aggarwal Reasoning + R.S. Aggarwal Quantitative Aptitude = Rs 320 total. These two books cover 90% of what any exam asks.

Which Exam Tests What - Detailed Mapping

ExamReasoning SectionAptitude SectionKey Differences
SSC CGL Tier 125 marks (50 Qs) - General Intelligence25 marks (50 Qs) - Quant AptitudeSSC focuses on geometry, trigonometry, algebra
SSC CHSL Tier 125 marks (50 Qs) - General Intelligence25 marks (50 Qs) - Quant AptitudeSlightly easier than CGL
SSC MTS25 marks (50 Qs) - General Intelligence25 marks (50 Qs) - Numerical AptitudeBasic level, 10th standard
Railway NTPC30 marks (30 Qs) - General Intelligence30 marks (30 Qs) - MathematicsMix of reasoning and maths, moderate level
Railway Group D25 marks (25 Qs) - General Intelligence25 marks (25 Qs) - MathematicsBasic arithmetic and simple reasoning
IBPS PO Prelims35 marks (35 Qs) - Reasoning Ability35 marks (35 Qs) - Quant AptitudeHeavy on puzzles and DI
IBPS Clerk Prelims35 marks (35 Qs) - Reasoning Ability35 marks (35 Qs) - Numerical AbilityModerate level, less time per question
SBI PO Prelims35 marks (35 Qs) - Reasoning Ability35 marks (35 Qs) - Quant AptitudeToughest banking exam
UPSC Prelims (CSAT)80 marks - Reasoning, comprehension, DIIncluded in CSAT paperQualifying only (33% needed)

Important Observation: SSC exams focus more on speed (many questions, less time). Banking exams focus more on complexity (fewer questions, but harder puzzles and DI sets). Adjust your practice accordingly.

Common Mistakes Beginners Make

1. Skipping Basics and Jumping to Shortcuts Students want to learn "tricks" for percentage without understanding what 15% actually means. This backfires when exam questions are even slightly different from the practised pattern. Build concepts first, then add shortcuts.

2. Not Timing Themselves Solving problems at home without a timer gives a false sense of readiness. In an actual exam, you get roughly 40-60 seconds per question. Start timing yourself from month 2 of preparation.

3. Ignoring Weak Topics Completely If you hate geometry, you cannot just skip it for SSC exams - it carries 5-8 questions. Instead, learn the 10 most common geometry formulas and practise the top 50 questions. That covers 80% of what appears.

4. Solving the Same Easy Questions Repeatedly Practising 100 easy percentage problems feels productive but does not improve your score. After mastering the basics, move to moderate and hard questions. That is where real improvement happens.

5. Not Analysing Mock Tests Taking a mock test and just checking the score is a waste. Go through every wrong answer, understand why you got it wrong (concept gap, silly mistake, or time pressure), and fix the root cause.

8-Week Study Plan for Beginners

WeekReasoning FocusAptitude FocusDaily Time
Week 1Analogy, ClassificationNumber System, Percentage2 hours
Week 2Series, Ranking/OrderRatio, Average2 hours
Week 3Coding-DecodingProfit-Loss, Discount2.5 hours
Week 4Blood Relations, DirectionSI/CI, Time-Work2.5 hours
Week 5Syllogism, InequalitySpeed-Distance, Trains3 hours
Week 6Non-Verbal (Mirror, Paper Folding)Algebra, Geometry3 hours
Week 7Seating Arrangement, PuzzlesTrigonometry, Mensuration3 hours
Week 8Mixed Practice + Mock TestsData Interpretation + Mock Tests3 hours

Padhaao and Your Competitive Exam Foundation

Every reasoning and aptitude question in competitive exams traces back to school-level Maths and English. The percentage problems in SSC CGL are Class 8 Maths. The algebra in Railway NTPC is Class 9-10 level. The comprehension passages in Banking exams test Class 10-12 English. Students with a strong school foundation clear competitive exams faster because they already understand the underlying concepts.

Padhaao helps build the Maths and English foundations that competitive exams demand. Free = 3 chapters/day, Pro Rs 99/month, Rs 249/year, Rs 1,499 lifetime.

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Frequently Asked Questions

Is reasoning easier than aptitude?

For most students, yes. Reasoning has fewer formulas and relies more on pattern recognition, which improves quickly with practice. Aptitude requires mathematical concept clarity and calculation speed, which takes longer to develop. However, advanced reasoning topics like puzzles and seating arrangements in Banking exams can be more time-consuming than aptitude.

How many months does it take to prepare reasoning and aptitude from scratch?

With dedicated daily practice of 2-3 hours, most students can reach an exam-ready level in 3-4 months. The first 2 months should focus on concepts and topic-wise practice. Months 3-4 should focus on speed-building through timed sectional tests and full mock tests.

Which is the best book for reasoning for beginners?

R.S. Aggarwal's Verbal and Non-Verbal Reasoning is the gold standard. It covers every topic with examples and graded exercises (easy to hard). For Banking-specific reasoning (heavy puzzles), add M.K. Pandey's Analytical Reasoning after completing Aggarwal.

Can I prepare reasoning and aptitude without coaching?

Absolutely. Both subjects are highly self-studyable. R.S. Aggarwal books provide step-by-step solutions. YouTube channels like Dear Sir (Reasoning), Adda247 (both subjects), and Rakesh Yadav (Aptitude) offer free video lectures for every topic. Combine books and YouTube with a mock test series (Rs 300-500) and you have a complete preparation setup.

How to improve speed in aptitude calculations?

Three strategies work: (1) Learn multiplication tables up to 30 and squares up to 30 - this eliminates mental calculation time. (2) Practice Vedic Maths shortcuts for multiplication and division. (3) Solve previous year papers with a strict timer. Speed is a skill that develops only under timed conditions.

What if I am very weak in Maths - can I still clear competitive exams?

Yes. Many successful candidates started with a fear of Maths. The key is starting from the very basics - fractions, decimals, percentage concepts - without shame. Use Class 7-8 NCERT textbooks if needed. Build up gradually. With 3-4 months of consistent practice, even weak students can score 30+ out of 50 in aptitude sections.

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