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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. 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:

    No bank is an office.

    All offices are stalls.

    Conclusions:

    I. No bank is a stall.

    II. No stall is a bank.

    III. Some stalls are offices.

    IV. All the stalls are offices

  2. 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:

    All flowers are beautiful.

    Vaidehi is beautiful.

    Conclusions:

    I. Vaidehi is a flower.

    II. Some beautiful are flowers.

  3. 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:

    1. All rugs are blankets.

    2. All blankets are pillows.

    3. Some blankets are frames.

    Conclusions:

    I. All pillows are rugs.

    II. Some pillows are rugs.

    III. All rugs are frames

  4. 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:

    Some fingers are toes.

    Some toes are rings.

    Some rings are hands.

    Conclusions:

    I. Some hands are toes.

    II. Some rings are fingers.

    III. Some hands are fingers.

    V. Some fingers are rings.

  5. 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:

    All polygons are angles.

    All angles are diagonals.

    All cones are cubes.

    All cubes are decagons.

    No diagonal is a cube.

    Conclusions:

    I. Some diagonals are polygons.

    II. All diagonals are decagons.

    III. No polygon is a cone.

    IV. Some cubes are angles.

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