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 dolls are robots.

Some robots are toys.

Some toys are cycles.

Conclusions:

(I) Some toys are dolls.

(II) No cycle is a robot.

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SSC CGL 2024 Tier-II Official Paper-I (Held On: 20 Jan, 2025)
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  1. Only conclusion (II) is true.
  2. Only conclusion (I) is true.
  3. Both conclusions (I) and (II) are true.
  4. Neither conclusion (I) nor (II) is true.

Answer (Detailed Solution Below)

Option 4 : Neither conclusion (I) nor (II) is true.
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Detailed Solution

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The least possible venn diagram is:

qImage67e3f97021339e4281440ee5

Conclusions:

(I) Some toys are dolls → False ( there is no direct relation between toys and dolls. so, it can be a possibility)

(II) No cycle is a robot → False ( there is no direct relation between cycle and robot. so, it can be a possibility)

Thus, Neither conclusion (I) nor (II) is true.

Hence, the correct answer is "Option 4".

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