Reasoning Questions: Syllogism Set 15

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  1. Statements: Some apples are oranges. All oranges are grapes. Some grapes are lichis. No pines is orange
    Conclusions:
    I. All pines being grapes is a possibility
    II. All apples being pines is a possibility
    III. No orange is lichi
    A) Only I follow.
    B) Only either I or II follows
    C) All follows.
    D) Only I and III follow
    E) None of these
    Answer & Explanation
    A) Only I follow.
    Explanation:

    I is a possibility
    II – not possible, because if all apples are pines, then some oranges will be pines which is not possible.
    III is not definite
  2. Statements: Some reds are blues. All blues are yellows. No yellow is a black. All whites are blacks.
    Conclusions:
    I. All reds are whites is a possibility.
    II. No white is blue.
    III. No yellow is red
    A) Only II and III follow
    B) Only I and II follow
    C) Only II follow.
    D) All follow.
    E) None of these
    Answer & Explanation
    C) Only II follow.
    Explanation:

    I – if all numbers are whites, then some blacks will be yellows which is not possible.
    II – is true because if any white is blue, then some blacks will be yellows which is not possible.
    III – is false, because, some yellows are definitely reds
  3. Statements: Some trees are stems. All stems are petals. Some petals are plants. All plants are roots.
    Conclusions:
    I. Some stems are roots
    II. Some plants are not trees
    III. All plants being stems is a possibility.
    A) Only III follow
    B) Only I and II follow
    C) Only either I or II and III follow
    D) None follows.
    E) None of these
    Answer & Explanation
    A) Only III follow
    Explanation:

    I is not definite
    II – does not follow because all plants are trees is a possibility
    III is a possibility.
  4. Statements: All trees are flowers. Some plants are flowers. All roots are plants. No leaf is plant
    Conclusions:
    I. No leaf is root
    II. Some roots are flowers.
    III. All leaves are flowers is a possibility.
    A) All follows
    B) Only I and III follow
    C) Only II and III follow.
    D) None follows
    E) None of these
    Answer & Explanation
    B) Only I and III follow
    Explanation:

    I is definite.
    II is not definite. III is a possibility.
  5. Statements: All lions are tigers. No tiger is a cat. All cats are dogs. Some cats are rats.
    Conclusions:
    I. All tigers being dogs is a possibility
    II. Some rats are lions
    III. No dog is lion
    A) Only II and III follow
    B) Only I and III follow
    C) All follows
    D) Only I follow
    E) None of these
    Answer & Explanation
    D) Only I follow
    Explanation:

    I is a possibility as
    II is not definite.
    III is not definite. In above venn lions are dogs is a possibility
  6. Statements: All marks are grades. No grade is a score. All scores are letters. Some letters are characters.
    Conclusions:
    I. Some scores are characters
    II. All marks being letters is a possibility.
    III. All characters are grades is a possibility.
    A) Only II follows.
    B) Only II and III follow
    C) All follows.
    D) Only I and III follow
    E) None of these
    Answer & Explanation
    B) Only II and III follows
    Explanation:

    I is not definite
    II and III is a possibility
  7. Statements: All views are reviews. No review is a font. All letters are fonts. All fonts are styles.
    Conclusions:
    I. No letter is review.
    II. All review are styles is a possibility.
    III. Some styles are views.
    A) Only I and II follow
    B) Only II and III follows
    C) Only I follows
    D) None follows
    E) All follow
    Answer & Explanation
    A) Only I and II follow
    Explanation:

    No letter is review because all letters are fonts and no review is font
    II is a possibility
    III is not definite.
  8. Statements: All whites are black. All black are yellow. No yellow is green. Some orange are whites.
    Conclusions:
    I. No white is green
    II. Some orange are yellow
    III. Some black are orange.
    A) Only II and III follow.
    B) Only I follow.
    C) All follows.
    D) Only I and III follow
    E) None of these
    Answer & Explanation
    C) All follows.
    Explanation:

    All are definite
  9. Statements: All trains are cars. All cars are bikes. No car is scooter. All rails are bikes
    Conclusions:
    I. Some rails are trains.
    II. All rails are scooters.
    III. Some bikes are not scooters.
    A) Only I and III follow.
    B) Only III follows
    C) None follows.
    D) Only II and III follow
    E) None of these
    Answer & Explanation
    B) Only III follows
    Explanation:

    I and II are not definite.
    III – all bikes are scooters is not a possibility, so III follow
  10. Statements: Some views are reviews. Some reviews are styles. All clips are styles. No review is font.
    Conclusions:
    I. All views are fonts is a possibility.
    II. Some clips are reviews.
    III. Some fonts are not styles.
    A) Only II and III follow.
    B) Only I follow.
    C) All follow.
    D) None follow
    E) None of these
    Answer & Explanation
    D) None follow
    Explanation:

    I is not true, because then some reviews will be fonts
    II is not definite
    III – all TV are styles is a possibility, so does not follow.
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