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 A are G.

II. Some M are G.

Conclusion:

I. Some G are A.

II. Some G are M.

III. All M are A.

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SSC MTS Official Paper (Held On: 19 May, 2023 Shift 2)
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  1. Both conclusions I and III follows
  2. Both conclusions I and II follows
  3. Only conclusion II follows
  4. All conclusion follows

Answer (Detailed Solution Below)

Option 2 : Both conclusions I and II follows
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
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90 Questions 150 Marks 90 Mins

Detailed Solution

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

qImage64ca2d5822dea6dc2c920651

Conclusions:

I. Some G are A → Follow (As all A are G. So, as whole A comes in G therefore, it is definitely true)

II. Some G are M → Follow (As some M are G. So, as some part of M is common with G therefore it is definitely true)

III. All M are A → Does not follow (As all A are G and some M are G. So, it is possible but not definitely true)

∴ Here, Both conclusions I and II follows.

Hence, the correct answer is "Both conclusions I and II follows".

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