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Engineering Exam Notes

Syllogism & Statement-Conclusion Notes

Questions

3 questions in typical PSU papers

Difficulty

Medium

Importance

Core topic — never skip

Overview

Syllogism and Statement-Conclusion problems test your ability to deduce logical consequences from given premises without relying on external real-world knowledge. Mastery of this topic is essential for PSU exams as it forms the backbone of the Logical Reasoning section, requiring a systematic approach to eliminate logical fallacies. The core goal is to differentiate between 'possibility' and 'absolute truth' based strictly on the provided data.

Venn Diagram Method

The Venn Diagram method is the most reliable tool for visualizing relationships between categories like 'All', 'Some', and 'No'. By drawing overlapping circles, you can test if a conclusion holds true across all possible scenarios, including edge cases.

  • All A are B: Circle A entirely inside B
  • Some A are B: Intersecting circles A and B
  • No A are B: Separate circles with no overlap
  • Some A are not B: Partial exclusion
  • Always draw the minimal overlapping diagram first
  • Check for 'possibility' cases by drawing alternative diagrams

Statement & Conclusions

This subtopic requires you to identify what must logically follow from the given statements. You must avoid 'over-thinking' or applying outside information to scenarios that are not explicitly supported by the premises.

  • Definite conclusions must be true in every valid diagram
  • Possibility conclusions only need to be true in one diagram
  • Never assume real-world facts unless stated in the premise
  • Look for the 'Either-Or' condition carefully
  • If a conclusion cannot be proven, mark it as 'Does not follow'

Statement & Assumptions

An assumption is an unstated premise that makes the argument valid. Understanding this requires analyzing the author's intent and identifying the bridge between the given information and the stated conclusion.

  • Ask 'Why was this statement made?'
  • Assumptions usually support the cause or intention
  • Discard assumptions that contradict the statement
  • Identify 'necessary conditions' for the statement to be true

Statement & Courses of Action

These questions present a problem and ask for an appropriate administrative response. An effective course of action must be practical, aimed at solving the root cause, and within the jurisdiction of the entity mentioned.

  • Action must be corrective or preventative
  • Must be practically feasible to implement
  • Avoid extreme solutions like banning or immediate firing
  • Focus on long-term systemic improvement
  • Check if the action directly addresses the stated problem

Formula Sheet

Either-Or Condition: (1) Both conclusions are false individually, (2) Subjects are same, (3) One is positive and one is negative

Exam Tip

If a conclusion is not 100% supported by the Venn diagram, it is false; never force a logical link that isn't explicitly there.

Common Mistakes

  • Applying personal real-world experiences to valid logical deductions
  • Ignoring the 'Either-Or' condition when subjects in conclusions are the same but neither is definitively true
  • Failing to draw a 'possibility' diagram when a conclusion uses words like 'could' or 'might'

More Revision Notes

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