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 Q are M.

II. All O are M.

Conclusion:

I. Some O are not Q.

II. All M are Q.

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SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 2)
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  1. Both conclusions I and II follows
  2. Only conclusion II follows
  3. Only conclusion I follows
  4. Neither conclusion follows

Answer (Detailed Solution Below)

Option 4 : Neither conclusion follows
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PYST 1: SSC CGL - General Awareness (Held On : 20 April 2022 Shift 2)
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Detailed Solution

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The pattern followed here is:

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

Statements:

I. All Q are M.

II. All O are M.

Conclusion:

I. Some O are not Q → Does not follow → As All Q are M and All O are M. So some O are not Q is a possibility but not definitely true.

II. All M are Q → Does not follow ​→ As All Q are M and All O are M. So All M are Q is a possibility but not definitely true.

So, Neither conclusion follows.

Hence, the correct answer is "Option 4". 

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