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 margins are borders.

All margins are rims.

All fringes are rims.

Conclusions:

(I): All fringes are borders.

(II): Some rims are borders. 

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

Answer (Detailed Solution Below)

Option 1 : Only conclusion (II) follows. 
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Detailed Solution

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Given Statements:

All margins are borders.

All margins are rims.

All fringes are rims.

The Venn diagram representation for the given statements is:

qImage6849531295089900f334672a

Conclusions:

(I): All fringes are borders. → False ( As there is no direct or indirect statement establishing that all fringes and borders, so this statement does not follow.)

(II): Some rims are borders. → True (As all margins are borders and all margins are rims. This means that the set of 'margins' is common to both 'borders' and 'rims'. Therefore, the intersection of 'rims' and 'borders' implies that some rims are definitely borders.)

So, only conclusion (II) follows.

Hence, the correct answer is "Option 1".

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