Three statements are given followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

All drinks are shakes.

All teas are shakes.

All shakes are coffee.

Conclusions:

I. All coffees are teas.

II. All coffees are drinks.

III. Some coffees are shakes.

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  1. Only conclusion II follows
  2. Only conclusion III follows
  3. Only conclusions I and III follow
  4. Only conclusions I and II follow

Answer (Detailed Solution Below)

Option 2 : Only conclusion III follows
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Detailed Solution

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Given Statements:

All drinks are shakes.

All teas are shakes.

All shakes are coffee.

The least possible Venn diagram for the given statement is:

F1 SSC Arbaz 19-12-23 D1

Conclusions:

I. All coffees are teas - False (Because, Some coffee are tea, but All coffees are teas can be possible only).

II.  All coffees are drinks - False (Because, Some coffees are drinks, but All coffees are drinks can be possible only).

III. Some coffees are shakes - True (Because, All shakes are coffees also gives some coffees are shakes).

So, Only conclusion III follows.

Hence, the correct answer is "Option 2".

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