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Syllogism Test - 1
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Syllogism Test - 1
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  • Question 1/10
    3 / -1

    Instructions (Q1 to Q10): In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the two given statements, disregarding commonly known facts.

    Statements:
    Some actors are singers.
    All the singers are dancers.

    Conclusions:
    1. Some actors are dancers.
    2. No singer is actor.

    Solutions

    From the image:

    • Some actors are dancers. Yes
    • No singer is actor. No

    Only (1) conclusion follows.

  • Question 2/10
    3 / -1

    Statements:
    All the harmoniums are instruments.
    All the instruments are flutes.

    Conclusions:
    (1) All the flutes are instruments.
    (2) All the harmoniums are flutes.

    Solutions

    Since all the harmoniums are instruments and all instruments are flutes, then flutes include instruments and harmoniums. And instruments include harmoniums.
    (i) All flutes cannot be instruments, because instruments are flutes, but flutes can contain something else as well.
    (ii) All the harmoniums are flutes because harmoniums are instruments and instruments are flutes.

  • Question 3/10
    3 / -1

    Statements:
    Some mangoes are yellow.
    Some tixo are mangoes.

    Conclusions:
    (1) Some mangoes are green.
    (2) Tixo is a yellow.

    Solutions

    From the image:

    • Some mangoes are green. No
    • Tixo is a yellow. maybe or may not be

    Neither of the conclusions follows.

  • Question 4/10
    3 / -1

    Statements:
    Some ants are parrots.
    All the parrots are apples.

    Conclusions:
    1. All the apples are parrots.
    2. Some ants are apples.

    Solutions

    From the above Venn diagram we made some assumptions on conclusion:

    • All apples are parrots: False.
    • Some ants are apples: True.

    Therefore only the second conclusion is True.

    Hence the correct answer is option B.

  • Question 5/10
    3 / -1

    Statements:
    Some papers are pens.
    All the pencils are pens.

    Conclusions:
    1. Some pens are pencils.
    2. Some pens are papers.

    Solutions

    Based on the given statements, we can conclude that some pens are pencils because all the pencils are pens. However, we cannot conclude that some pens are papers because the statement "Some papers are pens" does not necessarily mean that all pens are papers.

    Therefore, the correct answer is 3, "Only (1) conclusion follows."

  • Question 6/10
    3 / -1

    Statements:
    All the actors are girls.
    All the girls are beautiful.

    Conclusions:
    1. All the actors are beautiful.
    2. Some girls are actors.

    Solutions

  • Question 7/10
    3 / -1

    Statements:
    All the windows are doors.
    No door is a wall.

    Conclusions:
    1. Some windows are walls.
    2. No wall is a door.

    Solutions

    • Since both the premises are universal and one premise is negative, the conclusion must be universal negative.
    • (2) is the converse of the second premise and thus it  holds.

  • Question 8/10
    3 / -1

    Statements:
    All cups are books.
    All books are shirts.

    Conclusions:
    1. Some cups are not shirts.
    2. Some shirts are cups.

    Solutions

  • Question 9/10
    3 / -1

    Statements:
    Some cows are crows.
    Some crows are elephants.

    Conclusions:
    1. Some cows are elephants.
    2. All crows are elephants.

    Solutions

  • Question 10/10
    3 / -1

    Statements: 
    All the pencils are pens.
    All the pens are inks.

    Conclusions:
    1. All the pencils are inks.
    2. Some inks are pencils.

    Solutions

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