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:

Some cabbages are rocks.

All rocks are wheels.

No wheel is a scissor.

Conclusions:

I. All cabbages are wheels.

II. Some rocks are wheels.

III. Some wheels are not scissors. 

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SSC GD Constable (2022) Official Paper (Held On : 10 Jan 2023 Shift 2)
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  1. Both conclusions I and II follow. 
  2. Both conclusions I and III follow.
  3. Both conclusions II and III follow.
  4. All conclusions follow.

Answer (Detailed Solution Below)

Option 3 : Both conclusions II and III follow.
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Detailed Solution

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

F1 Savita SSC 22-6-23 D17

Conclusions:

I. All cabbages are wheels → Does not follow (As some cabbages are rocks and all rocks are wheels. So, it is possible but not definitely true)

II. Some rocks are wheels → Follow (As all rocks are wheels. So, as whole rocks comes in wheels therefore it is definitely true)

III. Some wheels are not scissors → Follow (As no wheel is a scissor. So, as whole wheels has direct negative or cross relation with scissor therefore it is definitely true)

∴ Here, Both conclusions II and III follow.

Hence, the correct answer is "Both conclusions II and III follow".

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