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:
Some pears are candles.
All foams are candles.
 Conclusions:
(I): Some pears are foams.
(II): All candles are foams.
 

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

Answer (Detailed Solution Below)

Option 2 : Neither conclusion (I) nor (II) follows.
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Detailed Solution

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

qImage67f3e4d4c2219c42dfbe7f7b

Conclusions:

(I): Some pears are foams → Does not follow (As some pears are candles and all foams are candles. So it is possible but not definite.)

(II): All candles are foams → Does not follow (As all foams are candles. So it is possible but not definite.)

∴ Here, Neither conclusion (I) nor (II) follows.

Hence, the correct answer is "Option 2".

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