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 bags are purses.
All purses are containers.
All containers are suitcases.
Conclusions:
I. Some suitcases are bags.
II. All purses are bags.
III. All purses are suitcases.
IV. Some containers are purses.

Only conclusions I, II and III follow

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Only conclusions II and III follow

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Only conclusions I and III follow

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Only conclusions I, III and IV follow

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Only conclusions II, III and IV follow

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Solution

The correct option is D
Only conclusions I, III and IV follow

Clearly, IV is the converse of the second premise and so it holds.
Some bags are purses. All purses are containers.
Since one premise is particular, the conclusion must be particular and shouldn't contain the middle term. So, it follows that 'Some bags are containers'.
All purses are containers. All containers are suitcases.
Since both the premises are universal, the conclusion must be universal and shouldn't contain the middle term. So, it follows that 'All purses are suitcases'. Thus, conclusion III follows.
Some bags are containers. All containers are suitcases.
Since one premise is particular, the conclusion must be particular and shouldn't contain the middle term. So it follows that ‘Some bags are suitcases'. I is the converse of this conclusion and so it holds.

Thus, conclusions I, III and IV follow from the given premises.

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Similar questions

Statements:
Some bags are purses.
All purses are containers.
All containers are suitcases.
Conclusions:
I. Some suitcases are bags.
II. All purses are bags.
III. All purses are suitcases.
IV. Some containers are purses.

Q. In each question below are given two/three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance with commonly known facts and then decide which of the two conclusions logically follows from the given statements disregarding commonly known facts. Give answer
Statements: All bags are purses.
No purse is black.
All blacks are beautiful.
Conclusions: I. Some bags being black is a possibility.
II. At least some purses are bags.

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 covers are uniforms. All uniforms are papers. All papers are bags.
Conclusions:
I. All uniforms are bags.
II. Some bags are covers.
III. Some covers are not papers.

Q. 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:
All pins are bags.
All chalks are bags.
All needles are bags.
Conclusions:
I. Some needles are pins.
II. Some chalks are needles.
III. No needle is pin.

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 plates are bags.
Some bags are chairs.
All chairs are tables.
Conclusions:
I. Some tables are bags.
II. Some chairs are plates.
III. No chair is plate.

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