Syllogisms · Question 30 · Hard

Syllogisms question 30

Statements:
All coins are notes.
Some notes are cards.
No card is a cheque.
Conclusions:
I. All coins being cards is a possibility.
II. All cheques being notes is a possibility.
Assuming the statements to be true, which conclusion(s) is/are possible?

  1. Only I is possible
  2. Only II is possible
  3. Both I and II are possible
  4. Neither I nor II is possible
Answer and explanation

Answer: C. Both I and II are possible

Explanation: Coins could lie entirely within the notes that are cards, so I is possible. Cheques only have to avoid cards, so they could all lie in the part of notes outside cards: II is possible too.

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