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Read the given statements and conclusions carefully. Assuming that the information given in the statement 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: (1) All cats are animals. (2) Some animals are dogs. Conclusions: (i) All dogs are animals. (ii) All animals are cats.

Read the given statements and conclusions carefully. Assuming that the information given in the statement 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: (1) All cats are animals. (2) Some animals are dogs. Conclusions: (i) All dogs are animals. (ii) All animals are cats. Correct Answer Neither conclusion (i) nor (ii) follows.

The least possible Venn diagram for the given statements is as below,

[ alt="F14 Prashant TTP 9-2-2021 Swati D31" src="//storage.googleapis.com/tb-img/production/21/02/F14_Prashant%20TTP_9-2-2021_Swati_D31.png" style="width: 204px; height: 147px;">

Conclusions:

i). All dogs are animal → False (It is clear from the given statement that some dogs are animals but we can't say about all dogs are animals or not. It is possible but not definite).

ii). All animals are cat → False (It is clear from the given statement that all the cats are animals but we can't say that all the animals are cats. It is possible but not definite).

Hence, the correct answer is "Neither conclusion (i) nor (ii) follows"

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Suppose for an Example: All A are B.

[ alt="F14 Prashant TTP 9-2-2021 Swati D32" src="//storage.googleapis.com/tb-img/production/21/02/F14_Prashant%20TTP_9-2-2021_Swati_D32.png" style="width: 220px; height: 133px;">

If we go from In to Out means from A to B then cases with All and some will be true like All A are B and Some A are B.

But if we go Out to In then only cases with Some will be true and All will be can't say like Some B are A will be true but All B are A will be can't say.

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