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Logic Test - 1

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Logic Test - 1
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  • Question 1
    1 / -0

    Directions For Questions

    In each of the following questions two statements are given followed by two three or four conclusions numbered I, II, III, and IV. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

    ...view full instructions

    Statements: Some birds are aquatic animals. All fish are aquatic animals. Conclusions:

    I. Some birds are fish.
    II. Some fish are birds.

    Solution

    The first premise is an I type proposition. So, the middle term ?aquatic animals? forming the predicate is not distributed. The second premise is an A type proposition. So, the middle term ?aquatic animals? forming the predicate is not distributed. Since the middle term is not distributed even once in the premises, no definite conclusion follows.

     

  • Question 2
    1 / -0

    Directions For Questions

    In each of the following questions two statements are given followed by two three or four conclusions numbered I, II, III, and IV. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

    ...view full instructions

    Statements: All parrots are birds. All birds are animals. Conclusions:

    I. All parrots are animals
    II. All animals are birds

    Solution

    Since both the premises are universal and affirmative, the conclusion must be universal affirmative. However, conclusion II being an A-type proposition, distributes the term ?animals?. Since the term ?animals? is distributed in conclusion II without being distributed in any of the premises, so conclusion II cannot follow.

     

  • Question 3
    1 / -0

    Directions For Questions

    In each of the following questions two statements are given followed by two three or four conclusions numbered I, II, III, and IV. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

    ...view full instructions

    Statements: All fruits are plant products. All mangoes are fruits. Conclusions:

    I. All mangoes are plant products
    II. Some fruits are mangoes

    Solution

    Since both the premises are universal and affirmative, the conclusion must be universal affirmative and should not contain the middle term. So I follows. II is the converse of the second premise, so it also holds.

     

  • Question 4
    1 / -0

    Directions For Questions

    In each of the following questions two statements are given followed by two three or four conclusions numbered I, II, III, and IV. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

    ...view full instructions

    Statements: All stars are sun. All sun are moons, Conclusions:

    I.   All moons are stars
    II. Some moons are stars

    Solution

    Since both the premises are universal and affirmative, the conclusion must be universal affirmative and should not contain the middle term. So, it follows that ?All stars are moons?. II is the converse of this conclusion and so it holds. Since the term moons are distributed in I without being distributed in any of the premises, so I does not follow.

     

  • Question 5
    1 / -0

    Directions For Questions

    In each of the following questions two statements are given followed by two three or four conclusions numbered I, II, III, and IV. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

    ...view full instructions

    Statements: All books are papers. All papers are grasses. Conclusions:

    I. Some grasses are books
    II. Some grasses are papers

    Solution

    Since both the premises are universal and affirmative, the conclusion must be universal affirmative and should not contain the middle term. So, it follows that ?All books are grasses?. I is the converse of this conclusion and so it holds, II is the converse of the second premise and so it also holds.

     

  • Question 6
    1 / -0

    Directions For Questions

    In each of the following questions two statements are given followed by two three or four conclusions numbered I, II, III, and IV. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

    ...view full instructions

    Statements: All stars are celestial objects. Ail moons are celestial objects. Conclusions:

    I. All stars are moons
    II. All moons are stars

    Solution

    Since the middle term -celestial objects- is not distributed even once in the premises, no definite conclusion can be drawn.

     

  • Question 7
    1 / -0

    Directions For Questions

    In each of the following questions two statements are given followed by two three or four conclusions numbered I, II, III, and IV. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

    ...view full instructions

    Statements: All rivers are water. All lakes are water. Conclusions:

    I. All rivers are lakes
    II. Some lakes are rivers

    Solution

    Since the middle term ?water- is not distributed even once in the premises, no definite conclusion can be drawn.

     

  • Question 8
    1 / -0

    Directions For Questions

    In each of the following questions two statements are given followed by two three or four conclusions numbered I, II, III, and IV. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

    ...view full instructions

    Statements: All boats are ships. All balloons are ships. Conclusions:

    I. Some boats are balloons
    II. Some ships are balloons

    Solution

    Since the middle term -ships- is not distributed even once in the premises, no definite conclusion can be drawn. However II is the converse of the second premise so it holds.

     

  • Question 9
    1 / -0

    Directions For Questions

    In each of the following questions two statements are given followed by two three or four conclusions numbered I, II, III, and IV. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

    ...view full instructions

    Statements: All animals eat. All animals move. Conclusions:

    I. All those who eat and move are animals
    II. All those who eat can move

    Solution

    Since the middle term ?animals- is distributed twice in the premises, the conclusion must be particular and should contain the middle term.

     

  • Question 10
    1 / -0

    Directions For Questions

    In each of the following questions two statements are given followed by two three or four conclusions numbered I, II, III, and IV. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

    ...view full instructions

    Statements: All schools have a building. A is a school. Conclusions:

    I. A has a building.
    II. Places other than schools do not have buildings.

    Solution

    Since both the premises are universal and affirmative, the conclusion must be universal affirmative and should not contain the middle term. So, only I follows.

     

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