Aptitude · Logical reasoning

Syllogisms, made easy

💡 The idea

A conclusion follows only if it is true in every picture that fits the statements. Draw the circles; if you can draw one picture where it is false, it does not follow.

Draw the statements→Try to break the conclusion→True in every picture?→Follows
Testing a conclusion

🧭 The method: 3 steps

  1. All A are B: A sits inside B. No A is B: apart. Some A are B: they overlap.
  2. For each conclusion, try to draw a picture where it is false.
  3. If you cannot, it follows.

🎬 Every kind of question, in pictures

Pick a kind. Guess the answer first, then watch the picture work it out. Tap any step to see it in the picture.

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✏️ Worked examples

Example 1. All pens are books. All books are cups. Does “All pens are cups” follow?

  1. Pens inside books, books inside cups
  2. So pens are inside cups

⚡ Shortcut: Yes, it follows

⚠️ Where people go wrong

  • Using real-world knowledge: only the statements count.
  • “Some A are B” does NOT mean some A are not B.
  • “All A are B” does not mean all B are A.

📌 Remember

  • Every possible picture
  • All + All = All
  • Some + Some = nothing definite

🎯 Now you try

Fresh questions every time, with the full solution. Pick a level and go.

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⏱️ Take a 10-question timed test: Syllogisms