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Byju's Answer

Standard XII

Physics

Error and Uncertainty

Find the conc...

Question

Find the conclusions which can be concluded from given statements
Statement. I - All keys are locks.
Statement. II - All locks are screws.
Conclusion A - All screws are keys.
Conclusion B - Some locks are keys.

If only conclusion 'A' follows.

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If only conclusion 'B' follows.

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If either 'A' or 'B' follows.

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If neither 'A' nor 'B' follows.

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lf both 'A' and 'B' follow.

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Solution

The correct option is B If only conclusion 'B' follows.
The term 'screws' is distributed in conclusion A without being distributed in any of the premises. So conclusion A does not follow (rule I). Conclusion B is an immediate inference drawn from premise I and it follows.
Analysis with Venn diagram.
From the diagram, it is clear that all screws are not keys, but some locks are keys. Hence, only conclusion B follows.

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Similar questions

Q. 45. In each of the following questions there are three statements. Which are followed by three or four conclusions? Choose the conclusions which logically follow from the given statements.
Statements: All the locks are keys. All the keys are bats. Some watches are bats.
Conclusions:
1.Some bats are locks.
2. Some watches are keys.
All the keys are locks

Statements:

All keys are locks.

All locks are bangles.

All bangles are cars.

Conclusions:

I. Some cars are locks.

II. Some bangles are keys.

III.Some cars are keys.

Statements:

All locks are keys.

All keys are bangles.

All bangles are cars.

Conclusions:

I. Some cars are keys.

II. Some bangles are locks.

III. Some cars are locks.

Statements:

All the locks are keys.

All the keys are bats.

Some watches are bats.

Conclusions:

I. Some bats are locks.

II. Some watches are keys.

III. All the keys are locks.

Q. In each question below are given two or 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 given conclusions logically follows from the given statements, disregarding commonly known facts. Give answer
Statements: Some balls are locks.
All locks are keys.
Some doors are keys.
Conclusions: I. All doors being keys is a possibility.
II. Some balls are keys.

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Find the conclusions which can be concluded from given statementsStatement. I - All keys are locks.Statement. II - All locks are screws.Conclusion A - All screws are keys.Conclusion B - Some locks are keys.

Find the conclusions which can be concluded from given statements
Statement. I - All keys are locks.
Statement. II - All locks are screws.
Conclusion A - All screws are keys.
Conclusion B - Some locks are keys.