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 soaps are creams.

All creams are dispensers.

Some dispensers are lotions.

Conclusions:

(I): Some soaps are lotions.

(II): Some creams are lotions. 

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

Answer (Detailed Solution Below)

Option 4 : 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 :

qImage6817203cf6c53188a395e77a

Conclusions:

(I) Some soaps are lotions → Does not follow (As all soaps are creams, all creams are dispensers and some dispensers are lotions. So it is possible but not definite.)

(II) Some creams are lotions → Does not follow (As all creams are dispensers and some dispensers are lotions. So it is possible but not definite.)

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

Hence, the correct answer is "Option 4"

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