In the following question below are given some statements followed by some conclusions based on those statements. Taking the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements :

I. All colour are small.

II. No small are big.

Conclusion :

I. All small are colour.

II. Some small are colour.

III. All big are colour.

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SSC CGL 2022 Tier-I Official Paper (Held On : 05 Dec 2022 Shift 2)
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  1. Neither conclusion follows
  2. Only conclusion III follows
  3. Only conclusion II follows
  4. Both conclusions I and II follows

Answer (Detailed Solution Below)

Option 3 : Only conclusion II follows
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Detailed Solution

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The pattern followed here is:

The least possible Venn diagram is shown below according to the given information:

Statements :

I. All colours are small.

II. No small are big.

F1 Madhuri SSC 01.03.2023 D32

Conclusion :

I. All small are colour → Does not follow → As all colours are small and No small are big. So All small are colour is possible but  not definitely followed.

II. Some small are colour → Follow → As all colours are small and No small are big. So some small are colour is definitely followed.

III. All big are colour → Does not follow → As all colours are small and No small are big. So all big are colour is not definitely followed.

So, Only conclusion II follows.

Hence, the correct answer is "Option 3".

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