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Logic Test - 2

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Logic Test - 2
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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 living things are animals. Some animals are plants. Conclusions:

    I. All plants are either animals or living things.
    II. Some plants are animals.

    Solution

    Since both the premises are particular, no definite conclusion follows. However, II is the converse of the second premise and thus it holds.

     

  • 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 farmers are soldiers. Some soldiers are athletes. Conclusions:

    I. Some athletes are farmers.
    II. No athlete is farmer.

    Solution

    Since the middle term -soldiers? is not distributed even once in the premises, no definite conclusion follows. However, I and II involve only the extreme terms and form a complementary pair. So, either I or II follows.

     

  • 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: Some cars are busses. X is a car. Conclusions:

    I. X is not a bus.
    II. X is a bus.

    Solution

    Since the middle term ?cars? is not distributed even once in the premises, no definite conclusion follows. However, S and II involve only the extreme term; and form a complementary pair. Thus, either I or II follows.

     

  • 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 fish live in water. X does not live in water Conclusions:

    I. X is not fish.
    II. Living in water is not essential to be a fish.

    Solution

    Since both the premises are universal and one premise is negative the conclusion must be universal negative and should not contain the middle term. So only I follows.

     

  • 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 bottles are glasses. Some plastics are not bottles. Conclusions:

    I. All glasses are plastics.
    II. Some plastics are not glasses.

    Solution

    Clearly, the term ?glasses? is distributed in both the conclusions without being distributed in any of the premises. So, neither conclusion follows.

     

  • 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: Many ants are flies. All flies are insects. Conclusions:

    I. Some ants are insects.
    II.   No fly is an ant.

    Solution

    Since the first premise is particular, the conclusion must be particular and should not contain the middle term. Thus, only I follows.

     

  • 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 watches are machines. Some machines are mobiles. Conclusions:

    I. Some watches are mobiles.
    II. Some mobiles are machines.

    Solution

    Since the middle term ?machines? is not distributed even once in the premises, no definite conclusion follows. However, II is the converse of the second premise and so it holds.

     

  • 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: Some balls are red. Some bats are red. Conclusions:

    I. Some red are bats.
    II. Some red are balls.

    Solution

    Since both premises are particular, no definite conclusion follows. However, I is the converse of second premise, while II is the converse of the first premise. So, both of them hold.

     

  • 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: Some men are educated. Educated persons prefer small families. Conclusions:

    I. All small families are educated.
    II. Some men prefer small families.

    Solution

    Since one premise is particular, the conclusion must be particular and should not contain the middle term. Thus, only II follows.

     

  • 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 computers are mobiles. No mobile is telephone, Conclusions:

    I.  No computer is telephone.
    II. No telephone is mobile.

    Solution

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

     

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