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Question

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 conclusions logically follow(s) from the statements.

Statements:

I. Some A are B.

II. All C are B.

Conclusions:

I. Some B are A’s is a possibility.

II. No C is A.

III. All A are C.

The correct answer is

Only conclusion I follows

Statement:

I. Some A are B.

II. All C are B.

The minimum possible diagram for the given statements is as follows:

Conclusion:

(i) Some B are A is a possibility - True (The conclusion “Some B are A’s is a possibility” is true, because something that is already true is always possible.).

(ii) No C is A - False (no direct relation is given between them, so it might be possible, cannot be certain).

III. All A are C - False (no direct relation is given between them, so it might be possible, cannot be certain).

Only conclusion I follows

Thus, the correct answer is "Option 1."

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Important Questions from Conventional Syllogism

  1. Consider the following Statements and Conclusions :

    Statements : Mohan is a good sportsman.
    Sportsmen are healthy.

    Conclusions : I. All healthy persons are sportsmen.
    II. Mohan is healthy.

    Which one of the following is correct?
  2. Premises : All metals are grey in colour. Some metals are heavy.
    Conclusion: I. All heavy metals are grey in colour.
                      II. All light metals are not grey in colour.

  3. Premises : All film stars are playback singers. All film directors are film stars.
    Conclusion: I. All film directors are playback singers.
                       II. Some film stars are film directors.

  4. Premises : All apples are golden in colour. No golden coloured things are cheap.
    Conclusion: I. All apples are cheap.
                       II. Golden coloured apples are not cheap.

  5. Read the given statement and conclusions carefully. Assuming that the information given in the statement 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. 

    Statement: 

    All reds are black. 

    Conclusions:

     1. Some blacks are red. 

    2. Some reds are black.

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