Question 141

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
a) All cities are villages.
b) Some states are cities.
Conclusions:
I. All states are villages.
II. Some villages are states.
III. Some villages are cities.

Solution

Statement a) All cities are villages.

StatementĀ b) Some states are cities.

Since all cities are villages andĀ some states are cities,Ā some statesĀ are villages.

Conclusion i)All states are villages.

We know only some states are villages. So, all states cannot be villages.

Conclusion II. Some villages are states.

We know only some states are villages. So, some villages will definitely be states.

Conclusion III. Some villages are cities.

We know all cities are villages. So, some villages are cities is true.

Conclusion II and III follows but not I.


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