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Syllogisms · Question 68 of 68

Question 68

HardOriginal question

Assume the statements are true.

Statements: Some tulips are orchids. Some orchids are irises.

Conclusions:

I. All tulips are irises.

II. No tulip is an iris.

Options for question 68

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Two 'Some' statements give no definite link between tulips and irises, so neither I nor II follows alone.

  2. 'All' and 'No' are not a complementary pair: the picture where some tulips are irises and some are not makes both I and II false.

  3. Since it is possible for both to be false, 'either I or II' is not guaranteed.

  4. Neither I nor II follows.

Worth noting

All/No is not an either-or pair because both can be false at once: if some tulips are irises and some are not, neither 'All tulips are irises' nor 'No tulip is an iris' is true. The complementary pairs are Some/No and All/Some-not.

Concept
All / No is not an either-or pair
Typical time
110 s
Your time
—
The rule this testsPossibility and either-or
Practise this chapter →

Ten questions from Syllogisms, at your own pace.

Practise this chapter →

Ten questions from Syllogisms, at your own pace.