Reasoning Questions: Syllogism Set 18

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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: Some trees are leaves. All leaves are stems. No tree is root. No stem is plant.
    Conclusions:
    I. No plant is leaf.
    II. Some leaves are not roots.
    Answer & Explanation
    (E) both 1st and 2nd
    Explanation:

    I is true because no stem is plant.
    II – All leaves are roots is not a possibility, so II follows.
  2. Statements: Some trees are leaves. All leaves are stems. No tree is root. No stem is plant.
    Conclusions:
    I. Some roots are not stems.
    II. No tree is plant.
    Answer & Explanation
    (D) neither 1st nor 2nd
    Explanation:

    I – All roots are stems is a possibility, so I does not follow.
    II is not definite
  3. Statements: All styles are fonts. Some reviews are fonts. All views are reviews. No clip is font.
    Conclusions:
    I. All clips being reviews is a possibility
    II. Some views are not clips
    Answer & Explanation
    (A) only 1st follows
    Explanation:

    I is a possibility
    II – All views are clips is a possibility, so II does not follow.
  4. Statements: All styles are fonts. Some reviews are fonts. All views are reviews. No clip is font.
    Conclusions:
    I. Some reviews are not clips.
    II. Some views are fonts
    Answer & Explanation
    (A) only 1st follows
    Explanation:

    I – All reviews are clips is not a possibility, so I follows. (if all reviews are clips, some fonts will be clips which is not possible)
    II is not definite
  5. Statements: Some pens are pencils. Some pencils are erasers. Some erasers are sharpeners. Some sharpeners are dusters.
    Conclusions:
    I. Some pens are erasers
    II. Some erasers are dusters
    Answer & Explanation
    (D) neither 1st nor 2nd
    Explanation:

    Both not definite.
  6. Statements: Some pens are pencils. Some pencils are erasers. Some erasers are sharpeners. Some sharpeners are dusters.
    Conclusions:
    I. Some sharpeners are not pencils.
    II. All dusters are pens.
    Answer & Explanation
    (D) neither 1st nor 2nd
    Explanation:

    All sharpeners are erasers is a possibility, so I does not follow. II not definite.
  7. Statements: All squares are circles. No circle is cone. Some cones are spheres. Some rectangles are circles.
    Conclusions:
    I. All rectangles being cones is a possibility
    II. All rectangles being sphere is a possibility
    Answer & Explanation
    (B) only 2nd follows
    Explanation:

    If all rectangles are cones, then some circles will be cones which is not possible.
    II is a possibility.
  8. Statements: All squares are circles. No circle is cone. Some cones are spheres. Some rectangles are circles.
    Conclusions:
    I. Some rectangles are not cones.
    II. No square is cone
    Answer & Explanation
    (E) both 1st and 2nd
    Explanation:

    All rectangles are cones is not a possibility, so I follows.
    No square is cone, because no circle is cone
  9. Statements: Some reds are greens. All greens are blues. All blues are oranges. No yellow is blue.
    Conclusions:
    I. No red is yellow.
    II. Some oranges are greens
    Answer & Explanation
    (B) only 2nd follows
    Explanation:

    I is not definite. Reds can be yellows
  10. Statements: Some reds are greens. All greens are blues. All blues are oranges. No yellow is blue.
    Conclusions:
    I. Some yellows are greens is a possibility.
    II. All yellows being oranges is a possibility
    Answer & Explanation
    (B) only 2nd follows
    Explanation:

    If some yellows are greens, then some blues will be yellows which is not possible.
    II is a possibility.
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