Reasoning Questions: Syllogism Set 19

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Directions (1 – 10):
(A) only 1st follows
(B) only 2nd follows
(C) either 1st or 2nd
(D) neither 1st nor 2nd
(E) both 1st and 2nd

  1. Statements: All blues are reds. No red is a black. All yellows are blacks. All blacks are oranges.
    Conclusions:
    I. Some oranges are reds.
    II. Some yellows are blues is a possibility.
    Answer & Explanation
    (D) neither 1st nor 2nd
    Explanation:

    I is not definite
    II – if any yellow is blues, then some blacks will be reds which is not possible as shown below
  2. Statements: Some oranges are apples. All apples are grapes. No grape is a guava. All cherries are guavas.
    Conclusions:
    I. All oranges are cherries is a possibility.
    II. No cherry is apple.
    Answer & Explanation
    (B) only 2nd follows
    Explanation:

    I – if all oranges are cherries, then some guavas will be grapes which is not possible.
    II – is true because if any cherry is apple, then some guavas will be grapes which is not possible.
  3. Statements: Some apples are oranges. All oranges are papayas. Some papayas are grapes. All grapes are pines.
    Conclusions:
    I. Some grapes are not apples
    II. All grapes being oranges is a possibility.
    Answer & Explanation
    (B) only 2nd follows
    Explanation:

    I – does not follow because all grapes are apples is a possibility as
    II is a possibility.
  4. Statements: All views are reviews. Some fonts are reviews. All clips are fonts. No style is font
    Conclusions:
    I. No style is clip
    II. All styles are reviews is a possibility.
    Answer & Explanation
    (E) both 1st and 2nd
    Explanation:

    I is definite.
    II is a possibility.
  5. Statements: Some pages are pencils. Some pencils are fonts. Some fonts are spaces. Some spaces are dusters.
    Conclusions:
    I. Some pages are fonts
    II. Some fonts are dusters
    Answer & Explanation
    (D) neither 1st nor 2nd
    Explanation:

    Both not definite.
  6. Statements: Some sets are mails. Some mails are erasers. Some erasers are scales. Some scales are sites.
    Conclusions:
    I. Some scales are not mails.
    II. All sites are sets.
    Answer & Explanation
    (D) neither 1st nor 2nd
    Explanation:

    All scales are erasers is a possibility, so I does not follow. II not definite.
  7. Statements: All dogs are cats. No cat is a tiger. All tigers are rats. Some tigers are lions.
    Conclusions:
    I. All cats being rats is a possibility
    II. Some lions are dogs.
    Answer & Explanation
    (A) only 1st follows
    Explanation:

    I is a possibility
    II is not definite.
  8. Statements: All news are olds. No old is a plastic. All plastics are shutters. Some shutters are houses.
    Conclusions:
    I. Some plastics are houses
    II. All news being shutters is a possibility.
    Answer & Explanation
    (B) only 2nd follows
    Explanation:

    I is not definite
    II is a possibility
  9. Statements: All circles are square. All square are cone. No cone is triangle. Some rectangle are circles.
    Conclusions:
    I. No circle is triangle
    II. Some rectangle are cone
    Answer & Explanation
    (E) both 1st and 2nd
    Explanation:

    I and II is definite
  10. Statements: Some pages are documents. All documents are inks. All inks are spaces. No letter is ink.
    Conclusions:
    I. Some letters are documents is a possibility.
    II. All letters being spaces is a possibility
    Answer & Explanation
    (B) only 2nd follows
    Explanation:

    If some letters are documents, then some inks will be letters which is not possible.
    II is a possibility.
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