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 conclusions logically follow from the statements.

Statements:

1. Some Books are Pencils.

2. All Pencils are Sharpeners.

3. All Books are Bags.

Conclusions:

I. Some Bags are Sharpeners.

II. Some Sharpeners are Books.

III. Some Sharpeners are Pencils.

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SSC Matric Level Previous Paper (Held on: 3 Feb 2022 Shift 2)
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  1. All conclusions I, II and III follow
  2. Only conclusions II and III follow.
  3. Only conclusions I and II follow.
  4. Only conclusions I and III follow.

Answer (Detailed Solution Below)

Option 1 : All conclusions I, II and III follow
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Detailed Solution

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

F5 Savita SSC 25-7-22 D1

Conclusions:

I. Some Bags are Sharpeners → Follow (As All Books are Bags and All Pencils are Sharpeners and Some Books are Pencils so, Some Bags are Sharpeners is true)

II. Some Sharpeners are Books → Follow (As All Pencils are Sharpeners and Some Books are Pencils so, Some Sharpeners are Books is true)

III. Some Sharpeners are Pencils → Follow (As All Pencils are Sharpeners so, Some Sharpeners are Pencils is true)

∴ Here, conclusions I, II and III are true.

Hence, the correct answer is "All conclusions I, II and III follow".

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