Read the given statement(s) 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(s) from the statement(s).

Statements:

Some pencils are rods.

No rod is a door.

All balls are rods.

Conclusions:

I. Some pencils being balls is a possibility.

II. No ball is a door.

III. All rods are balls.

IV. No pencil is a door.

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SSC CGL 2022 Tier-I Official Paper (Held On : 13 Dec 2022 Shift 1)
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  1. Only Conclusions I, II and IV follow
  2. Only Conclusions I and II follow
  3. Only Conclusion I follows
  4. Only Conclusions II and III follow

Answer (Detailed Solution Below)

Option 2 : Only Conclusions I and II follow
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Detailed Solution

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

F1 Savita SSC 21-3-23 D29

Conclusions:

I. Some pencils being balls is a possibility → Follow (As some pencils are rods and all balls are rods. So, as no direct negative or cross relation is given between pencils and balls therefore it is definitely possible)

II. No ball is a door → Follow (As all balls are rods and no rod is a door. So, a direct negative or cross relation is given between door and rod in which whole balls comes in therefore it is definitely true)

III. All rods are balls → Does not follow (As all balls are rods and no rod is a door. So, a direct negative or cross relation is given between door and rod in which whole balls comes in therefore it is definitely false)

IV. No pencil is a door → Does not follow (As some pencils are rods and no rod is a door. So, as no direct negative or cross relation is given between pencils and door therefore it is definitely false)

∴ Here, Only conclusions I and II follow.

Hence, the correct answer is "Only conclusions I and II follow"

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