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

Statements:

Some stones are cubes.

No cube is a glass.

All bats are cubes.

Conclusions:

I. Some stones being bats is a possibility.

II. No bat is a glass.

III. All cubes are bats.

IV. No stone is a glass.

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  1. Only Conclusions I, II and IV follow
  2. Only Conclusions II and III follow
  3. Only Conclusions I and II follow
  4. Only Conclusion I follows

Answer (Detailed Solution Below)

Option 3 : Only Conclusions I and II follow
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Detailed Solution

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The pattern followed here is:

The least possible Venn diagram is shown below according to the given information.

Statements:

Some stones are cubes.

No cube is a glass.

All bats are cubes.

F1 Madhuri SSC 13.02.2023 D44

Conclusions:

I. Some stones being bats is a possibility → Follow → As some stones are cubes and all bats are cubes. So some stones being a bats possibility is definitely possible so it is followed. Possibility shown below.

F1 Madhuri SSC 13.02.2023 D45

II. No bat is a glass → Follow → As all bats are cubes and no cube is a glass. So no bat is a glass is definitely followed because all bats are complete parts of Cubes.

III. All cubes are bats → Does not follow → As all bats are cubes. it is not definite in case of cube to bat as all bat can be cube without all cube being bat. Hence all cubes being bats is a possibility not definite.)

IV. No stone is a glass → Does not follow → As there is no definite relation given between Stone and Glass, we can not derive any conclusion. So no stone is a glass is not followed. 

So, Only Conclusion I and II follow.

Hence, the correct answer is "Option 3".

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