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After three statements, three conclusions | || and II are given. Assuming that the information given in the statements is correct, even if it appears to differ from commonly known facts, decide which of the given conclusions logically follows from the given statements.

Statement:

All tin are silver.

Some silver are uranium.

No silver is iron.

Conclusions:

(I) Some tin are iron.

(II) Some uranium are tin.

(III) Some uranium is not iron.

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Punjab Police Constable Official Paper-I & II (Held On: 30 Jul, 2024 Shift 1)
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  1. All conclusions I, II and III follow
  2. Only conclusion I follows
  3. Only conclusion I or conclusion III follows
  4. Only conclusion III follows

Answer (Detailed Solution Below)

Option 4 : Only conclusion III follows
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Detailed Solution

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Given Statements:

All tin are silver.

Some silver are uranium.

No silver is iron.

The least possible Venn diagram for the given statements is:

qImage68146ceb99ef29e7b8fa2ddeTask Id 1329 Daman (15)

Conclusions:

I. Some tin are iron - False (Since all tin are silver, and no silver is iron, there can be no tin that is iron).

II. Some uranium are tin - False (While some silver are uranium, there's no direct or indirect relationship established that guarantees some uranium are also tin. It's possible that the uranium that are silver do not overlap with the tin which are also silver).

III. Some uranium is not iron - True (We know some silver are uranium, and no silver is iron. Therefore, the portion of uranium that is also silver cannot be iron. Hence, some uranium is not iron).

So, Only conclusion III follows.

Hence, the correct answer is "Option 4."

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