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Agniveer Army CEE Syllogism

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This page covers Agniveer Army CEE Syllogism with complete concept notes, 6 graded practice MCQs, key points and exam-specific tips. Free to study.

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Concept Notes

Syllogism— Rules & Concept

Core ConceptRead this first — the foundation of the topic
Core Concept

A syllogism has two or more statements followed by conclusions. You must check if the conclusions logically follow from the statements, ignoring what you know about the real world

Key Rules

(1) Accept all statements as true, even if they seem wrong in reality. (2) Use only the given information. (3) Draw conclusions based purely on logical connections. (4) 'Some' means 'at least one but not all'. (5) 'All' means '100% without exception'

Venn Diagram Method

This is the most reliable approach. Draw circles to represent each category mentioned in statements. Overlap circles based on relationships given in statements. Check if conclusions match your diagram.

Exam PatternsWhat examiners ask — read before attempting PYQs

SSC CGL typically asks: (1) Statement-Conclusion type (2-3 statements, 2-4 conclusions to verify) (2) Only conclusion follows questions (3) Possibility-based conclusions. Most questions use words like All, Some, No, Few. Shortcut Formula #1 - Conversion Rule: 'All A are B' can be converted to 'Some B are A'. But 'All A are B' cannot be converted to 'All B are A'. Shortcut Formula #2 - Negative Conclusions: If both statements are positive, the conclusion cannot be negative. If one statement is negative, the conclusion must be negative.

Worked ExampleSolve this step-by-step before moving on

Statements: (1) All roses are flowers (2) Some flowers are red Conclusions: (I) Some roses are red (II) All red things are flowers Solution: Draw three circles - Roses (inside Flowers circle), Flowers (big circle), Red (overlapping with Flowers). From the diagram, roses and red may or may not overlap. Conclusion I is 'possible but not definite' - so FALSE.

Conclusion II says all red are flowers, but statement 2 only says some flowers are red, not the reverse - so FALSE. Answer: Neither conclusion follows. Worked Example 2: Statements: (1) No cats are dogs (2) All cats are animals Conclusions: (I) No dogs are cats (II) Some animals are cats Solution: Draw separate circles for cats and dogs (no overlap due to 'No'). Draw animals circle containing cats circle completely.

Conclusion I: 'No dogs are cats' is the same as 'No cats are dogs' - TRUE. Conclusion II: Since all cats are animals, definitely some animals are cats - TRUE. Answer: Both conclusions follow. Trick #3 - Possibility Conclusions: When a conclusion uses 'Some X can be Y' or 'X is a possibility', it's asking if the relationship is possible, not definite.

Even if something is not proven definite, it might still be possible.

Exam TrapsCommon mistakes students make — avoid these

#1: Students use real-world knowledge instead of logical reasoning. For example, if given 'All books are tigers', students reject it as impossible. In syllogism, you must accept this as true for that question and proceed logically. Time-Saving Approach: For statement-conclusion questions, quickly eliminate obviously wrong conclusions first.

Look for direct contradictions with statements. Then use Venn diagrams only for remaining conclusions. This saves precious exam time. Medium/Definite Rule: If conclusion says 'definitely' or uses strong words like 'certainly', it needs 100% proof from statements.

If it says 'can be' or 'possible', it needs only logical possibility, not certainty.

Key Points to Remember

  • Accept all statements as true regardless of real-world logic
  • Use Venn diagrams to visualize relationships between categories
  • Formula: 'All A are B' converts to 'Some B are A' but not 'All B are A'
  • Rule: If both statements are positive, conclusion cannot be negative
  • Some means 'at least one but not all', All means '100% without exception'
  • Possibility conclusions need logical possibility, not definite proof
  • No real-world knowledge should influence your logical reasoning
  • Trick: Check direct contradictions with statements to eliminate wrong conclusions quickly
  • Formula: One negative statement makes the conclusion negative
  • Time-saver: Eliminate obviously wrong conclusions before drawing Venn diagrams

Exam-Specific Tips

  • Syllogism appears in every SSC CGL paper with 4-5 questions guaranteed
  • Statement-conclusion type is the most common format in SSC exams
  • Venn diagram method has 95% accuracy rate for solving syllogisms
  • Words 'All, Some, No, Few' appear in 90% of SSC syllogism questions
  • Possibility-based conclusions appear in 30% of recent SSC papers
  • Conversion rule: 'All A are B' always converts to 'Some B are A'
  • Two positive statements can never yield a negative conclusion
  • SSC typically gives 2-3 statements with 2-4 conclusions to verify
Practice MCQs

Syllogism — Practice Questions

6graded MCQs · easy to hard · full solution & trap analysis

All MCQs →
Practice 1easy

No flowers are red. Some roses are flowers. What is the relationship between roses and red?

Practice 2easy

All soldiers are brave. Rajesh is a soldier. What can be concluded about Rajesh?

Practice 3medium

All scientists are logical thinkers. Some mathematicians are scientists. Which statement must be true?

Practice 4medium

All athletes are disciplined. Some soldiers are athletes. Which of the following conclusions is definitely true?

Practice 5medium

No fiction book is educational. All novels are fiction books. What can be concluded?

Practice 6hard

Consider the following statements: 1. All soldiers are disciplined. 2. Some disciplined people are not officers. 3. No officer is undisciplined. Based on these statements, which of the following conclusions is definitely true?

60-Second Revision — Syllogism

  • Remember: Accept all statements as true, ignore real-world knowledge
  • Formula: All A→B converts to Some B→A, not All B→A
  • Trap: Using real-world logic instead of pure logical reasoning
  • Method: Use Venn diagrams for visual clarity and accuracy
  • Rule: Positive statements cannot produce negative conclusions
  • Trick: Eliminate contradictory conclusions first to save time
  • Focus: 'Some' = at least one, 'All' = 100%, 'Possible' = logically feasible
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