Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusion(s) logically follow(s) from the statements.

Statements:
All jacks are kings.
All kings are queens.

Conclusions:
(I) Some queens are jacks.
(II) All jacks are queens.

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OSSC Excise SI (Mains) Official Paper (Held On: 17 Oct, 2024 Shift 2)
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  1. Only conclusion (I) follows.
  2. Only conclusion (II) follows.
  3. Both conclusions (I) and (II) follow.
  4. Neither conclusion (I) nor (II) follows.

Answer (Detailed Solution Below)

Option 3 : Both conclusions (I) and (II) follow.

Detailed Solution

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Given Statements:

All jacks are kings.

All kings are queens.

The least possible Venn diagram for the given statements is:

qImage6800d9bafbd2dff286f6fd79Task Id 1276 Daman (2)

Conclusions:

I. Some queens are jacks - True (Since all jacks are kings and all kings are queens, jacks are a subset of queens, implying some queens are jacks).

II. All jacks are queens - True (The statement "All kings are queens" and "All jacks are kings" directly implies that all jacks are also included within the set of queens).

So, Both conclusions I and II follow.

Hence, the correct answer is "Option 3".

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