In the following question below are given some statements followed by some conclusions. Taking 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 conclusion/conclusions logically follows/follow the given statements. Statements: Some pens are bags. All bags are cots. Some ants are not cots. All ants are dogs. Conclusions: I. Some ants are not bags. II. No pen is an ant. III. Some cots can be dogs. IV. Some pens are not ants.
In the following question below are given some statements followed by some conclusions. Taking 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 conclusion/conclusions logically follows/follow the given statements. Statements: Some pens are bags. All bags are cots. Some ants are not cots. All ants are dogs. Conclusions: I. Some ants are not bags. II. No pen is an ant. III. Some cots can be dogs. IV. Some pens are not ants. Correct Answer Only III follow
The least possible Venn diagram for the given statement is as shown,
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Conclusions:
I. Some ants are not bags → It is possible but not definite in least possible Venn diagram. Hence, it is false.
II. No pen is an ant → It is possible but not definite in least possible Venn diagram. Hence, it is false.
III. Some cots can be dogs → The possibility is true.
IV. Some pens are not ants → It is possible but not definite in least possible Venn diagram. Hence, it is false.
Hence, conclusion III follow.