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Introduction to Integers

In each of th...

Question

In each of the questions below four statements are given, 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 the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements
All belts are rollers.
Some rollers are wheels.
All wheels are mats.
Some mats are cars.

Conclusions
I. Some mats are rollers.
II. Some mats are belts.
III. Some cars are rollers.
IV. Some rollers are belts.

A

Only I and II follow

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B

Only I, III and IV follow

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C

Only I and IV follow

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D

Only II, III and IV follow

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E

None of these

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Solution

The correct option is C Only I and IV follow
Some rollers are wheels.
All wheels are mats.
$I + A \Rightarrow I$ -type of conclusion
Some rollers are mats.
Conclusion I is the converse of it.
Conclusion IV is the converse of the first premise.

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Similar questions

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

Statements
All belts are rollers.
Some rollers are wheels.
All wheels are mats.
Some mats are cars.

Conclusions
I. Some mats are rollers.
II. Some mats are belts.
III. Some cars are rollers.
IV. Some rollers are belts.

Q. In each of the questions below are four statements followed by four conclusions numbered I, II, III and IV.
You have to take the four given statements to be true even if they seem to be at variance from commonly known facts and then decide which of the given conclusions logically follows from the four given statements disregarding commonly known facts. Then, decide which of the answers (a), (b), (c), (d) and (e) is correct and indicate it on the answer sheet.

Statements:-
I. All belts are rollers.
II. Some rollers are wheels.
III. All wheels are mats.
IV. Some mats are cars.

Conclusions:-
I. Some mats are rollers.
II. Some mats are belts.
III. Some cars are rollers.
IV. Some rollers are belts.

Q. Statements :
All belts are rollers.
Some rollers are wheels.
All wheels are mats.
Some mats are cars.
Conclusions :
I. Some mats are rollers.
II. Some mats are belts.
III. Some cars are rollers.
IV. Some rollers are belts.

Q. In each of the questions below are given four statements followed by four conclusions numbered I, II, Ill 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 chairs are handles.
All handles are pots.
All pots are mats.
Some mats are buses.

Conclusions
I. Some buses are handles.
II. Some mats are chairs.
III. No bus is handle.
IV. Some mats are handles.

Q. In each of the questions below four statements are given, 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 the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements
All dolls are mats.
No mat is a sofa.
Some sofas are rooms.
All rooms are hills.

Conclusions
I. Some hills are dolls.
II. Some rooms are dolls.
III. Some rooms are mats.
IV. Some hills are mats.

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