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.

if either Conclusion I or II follows

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if either Conclusion I or IV follows

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if both the Conclusions II and III follow

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if both the Conclusions I and IV follow

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Solution

The correct option is B
if either Conclusion I or IV follows

Clearly, each combination of premises shall contain two particular premises and as such no definite conclusion follows.
However, I and IV are contradictory statements involving only the extreme terms and none of the middle term 'rods' or 'doors'. Thus, they form a complementary pair.
So, either I or IV follows.

Suggest Corrections

Similar questions

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.

Q. 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

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.

Some statements are given, followed by some conclusions. Consider the statements to be true even if they seem to be at variance from commonly known facts. Decide which of the given conclusions follow from the given statements.
Statements:
Some windows are doors.
Some doors are lamps.
All lamps are candles.
Conclusions:
I. Some candles are windows.
II. Some candles are doors.
III. Some lamps are windows.

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.

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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.

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.