Direction: In the question below are given two statements followed by three conclusions numbered I, II, and III. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements:

I. All tigers are brave

II. Some brave are weird

Conclusions:

I. Some tigers are weird

II. All brave are tigers

III. No weird is tiger

  1. Either conclusion I or III follows
  2. All follows
  3. Only conclusion I and II follows
  4. Neither II nor III follows

Answer (Detailed Solution Below)

Option 1 : Either conclusion I or III follows
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SSC CPO : General Intelligence & Reasoning Sectional Test 1
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Detailed Solution

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Important Points

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:

F1 S.Y Deepak 21.10.2019 D14

Conclusions:

I. Some tigers are weird → False (It can be possible, but it is not definite)

II. All brave are tigers → False

III. No weird is tiger → False (It can be possible, but it is not definite)

But, conclusion I and III forms a complementary pair.

Hence, either conclusion I or III follows.

Note: 

Conditions of Either-or case:

1. The elements should be the same in both the statements.

2. Individually both the conclusions should be false.

3. One conclusion should be positive and one conclusion should be negative (Complementary pair)

The two complementary pairs are:

1) All + Some not

2) No + SomeAdditional Information

Venn diagram Table

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