Statements followed by some conclusions are given below.

Statements:

All roses are lily.

Some roses are jasmine.

No jasmine is marigold.

Conclusions:

Some jasmine is lily.

Some roses are not marigold

Find which of the given conclusions logically follow from the given statements.

  1. Only conclusion I follows
  2. Only conclusion II follow
  3. Both I and II follow
  4. Neither I nor II follows

Answer (Detailed Solution Below)

Option 3 : Both I and II follow
Free
RRB NTPC CBT-I Official Paper (Held On: 4 Jan 2021 Shift 1)
100 Qs. 100 Marks 90 Mins

Detailed Solution

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Concept:

1) We have to check the conclusions are 100% match with the statement. If the conclusion is 100% match with the given statement then the conclusion is true. If there is a 1% chance of not following the statement then the conclusion is considered to be false.

2) The possibility case can be considered to be "false" in "definite case".

3) In Possibility case, either "can" or "possible" word must be present.

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

Conclusions:

I. Some jasmine is lily → True (as "all roses are lily and some roses are jasmine" so some jasmine can be lily it is definite, hence, true)

II. Some roses are not marigold → True (as "some roses are jasmine and no jasmine is marigold" so some part of jasmine which is rose can never be marigold, it is definite, hence, true)

Hence, "Both I and II follow" is the correct answer.

Additional Information

 

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