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Syllogism Notes

Questions

3–5 questions per paper

Difficulty

Medium

Importance

High yield for SSC and Bank PO/Clerk

Overview

Syllogism is a logical reasoning topic where conclusions must be derived exclusively from given statements, ignoring real-world facts. It is a high-yield area in competitive exams like SSC and Bank PO, testing an aspirant's ability to maintain strict logical boundaries under time pressure.

The Venn Diagram Method

This is the gold standard for visual representation, allowing you to map categories into overlapping circles to test the validity of conclusions. You must draw all possible variations to ensure a conclusion is 'definitely true' only if it holds across every diagram.

  • A: All A are B (B completely contains A)
  • E: No A is B (Two disjoint circles)
  • I: Some A are B (Overlapping circles)
  • O: Some A are not B (At least part of A is outside B)
  • Always draw the minimal overlapping diagram first
  • Test invalidity by trying to prove the conclusion wrong

Handling Possibility Conclusions

A conclusion stating a 'possibility' is true if there exists at least one valid Venn diagram where the condition holds. In exams, questions often trick students by mixing definite truths with possibility clauses.

  • Possibility = At least one scenario where it is true
  • If a relationship is definitely true, its 'possibility' is also considered true in some exam boards
  • Check for 'Does not follow' vs 'Could be false'
  • Use dotted lines to represent possible relationships
  • Never assume a possibility is true just because it isn't explicitly forbidden

Complementary Pairs (Either-Or Case)

When a conclusion is not definitely true or false, check for complementary pairs that satisfy the 'Either-Or' condition. This is a common shortcut to save time on complex logical statements.

  • Pair must consist of one universal/particular and one negative
  • Example: Some A are B + No A are B
  • Example: All A are B + Some A are not B
  • Both conclusions must be 'cannot be determined' individually
  • The subject and predicate must be the same

Exam Tip

Always treat 'Some' as 'at least one' and if a conclusion can be invalidated by a single counter-diagram, it is false—do not get bogged down in deep philosophical analysis.

Common Mistakes

  • Assuming real-world knowledge instead of strictly following the provided statements.
  • Failing to draw multiple possible diagrams, leading to 'definite' conclusions that are actually only possible.
  • Misinterpreting 'Some' as 'Some only', which ignores the possibility of 'All'.

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