Statements: (I) Some flowers are rods.
(2)Some rods are doors.
(3)Some doors are house.
Conclusions: I. Some houses are flowers.
II. Some doors are flowers.
Ill. Some flowers are doors.
IV. No house is flower

Only I & II follow

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Only I & IV follow

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Only II & IV follow

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None of these

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Solution

The correct option is D None of these

Since there are more than just 2 or 3 cases this question, the answer should be none of these as in no 2 cases which give us the same conclusion.
The various diagrammatic representations of the cases are:
Where F = Flowers, R = Rods, D = Doors, H = Houses.
and many more. So, option (4) is the correct answer.

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Similar questions

Statements:
Some flowers are rods.
Some rods are doors.
Some doors are houses.

Conclusions:
I. Some houses are flowers.
II. Some doors are flowers.
III. Some flowers are doors.
IV. No house is flower.

In each of the questions below are given three statements followed by four conclusions numbered I, II, III and IV.
You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements
Some flowers are rods.
Some rods are doors.
Some doors are houses.

Conclusions
I. Some houses are flowers.
II. Some doors are flowers.
III. Some flowers are doors.
IV. No house is a flower.

Statements:

All hammers are stones.

No stone is ring.

Some rings are doors.

All doors are windows.

Conclusions:

I. Some windows are hammers.

II. Some windows are rings.

III. No window is hammer.

IV. Some rings are hammers.

Q. Statements: All doors are roads. No road is fruit. Some flowers are doors.
Conclusions:
I. Some fruits are doors.
II. Some fruits are flowers.
III. Some roads are flowers.
IV. No fruit is flower.

Q. Statements: Some desks are fruits.
All fruits are flowers.
No flower is a branch.
Some branches are roots.
Conclusions I: Some roots are flowers.
Conclusions II: No branches are desks.
Conclusions III: Some flowers are desks.
Conclusions IV: Some desks are branches.

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Statements: (I) Some flowers are rods.(2)Some rods are doors.(3)Some doors are house.Conclusions: I. Some houses are flowers.II. Some doors are flowers.Ill. Some flowers are doors.IV. No house is flower

Statements: (I) Some flowers are rods.
(2)Some rods are doors.
(3)Some doors are house.
Conclusions: I. Some houses are flowers.
II. Some doors are flowers.
Ill. Some flowers are doors.
IV. No house is flower