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 J are B.

II. Some D are B.

Conclusions:

I. Some D are not J.

II. Some B are not J.

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SSC CGL 2022 Tier-I Official Paper (Held On : 01 Dec 2022 Shift 3)
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  1. Only conclusion I follows
  2. Neither conclusion follows
  3. Only conclusion II follows
  4. Both conclusions I and II follows

Answer (Detailed Solution Below)

Option 2 : Neither conclusion follows
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Detailed Solution

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

F2 Savita SSC 08.02 (68)

Conclusions:

I. Some D are not J → Does not follow (As there is no negative relation given between D and J, definite negative conclusion will be false.)

II. Some B are not J → Does not follow (it is possible that some B are not J but not definitely. So, it will be considered as false conclusion)

∴ Here, Neither conclusion follows.

Hence, the correct answer is "Neither conclusion follows".

Additional Information F1 Shashi Savita 30.08.21 D1(Syllogism table)

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