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:

All hens are mangoes.

All hens are shrimps.

All ducks are shrimps.

Conclusions:

(I): All ducks are mangoes.

(II): Some shrimps are mangoes.

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  1. Neither conclusion (I) nor (II) follows.
  2. Only conclusion (II) follows.
  3. Both conclusions (I) and (II) follow
  4. Only conclusion (I) follows.

Answer (Detailed Solution Below)

Option 2 : Only conclusion (II) follows.
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Detailed Solution

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Given Statements:

All hens are mangoes.

All hens are shrimps.

All ducks are shrimps.

The Venn diagram for the given statements is:

F1 Sourav SSC 21 4 25 D128

Conclusion

Conclusion I: All ducks are mangoes. False (As there no direct link between ducks and mangoes so,  we cannot definitively conclude that all ducks are mangoes)

Conclusion II: Some shrimps are mangoes. True (We are given that all hens are shrimps and all hens are mangoes. This means there is a set of items (hens) that are common to both shrimps and mangoes. Therefore, there is at least some overlap between the set of shrimps and the set of mangoes. Hence, it is true that some shrimps are mangoes.)

So, only conclusion II follows.

Hence, the correct answer is "option 2".

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