Which of the conclusions logically follow(s) from the given statements?

Statements:

Some players are singers.

All singers are tall.

Conclusions:

I. Some players are tall.

II. All players are tall.

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UKPSC Patwari Lekhpal (Re-Exam) Official Paper (Held On: 12 Feb, 2023)
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  1. Both I and II
  2. Only I
  3. Only II
  4. Neither I nor II

Answer (Detailed Solution Below)

Option 2 : Only I
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Detailed Solution

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Given Statements:

Some players are singers.

All singers are tall.

The least possible Venn diagram for the given statement is:

Task Id 1407 Daman (4)

Conclusions:

I. Some players are tall - True (Since some players are singers, and all singers are tall, it logically follows that some players must also be tall. The overlapping region of 'Players' and 'Singers' is within the 'Tall' circle).

II. All players are tall - False (While some players are tall, there is no information to suggest that ALL players are tall. The Venn diagram shows a portion of 'Players' that is outside the 'Tall' circle).

So, Only conclusion I follows.

Hence, the correct answer is "Option 2".

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