Reasoning Questions: Syllogism Set 17

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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 stems are trees. No tree is a plant. Some plants are roots
    Conclusions:
    I. Some trees are stems
    II. Some roots are not trees
    Answer & Explanation
    (E) both 1st and 2nd
    Explanation:

    All roots can never be trees. Because if all roots are trees, then some trees will be plants which is not possible (No tree is a house).
    All roots are trees is not a possibility, so Some roots are not trees follows.
  2. Statements: All reds are greens. No greens are blues. No greens are whites.
    Conclusions:
    I. Some whites are not reds
    II. Some reds are not blues
    Answer & Explanation
    (E) both 1st and 2nd
    Explanation:

    All whites are reds is not a possibility. So Some whites are not reds follows. Same with second conclusion.
  3. Statements: All pencils are pens. All pencils are pins. Some pencils are sharpeners.
    Conclusions:
    I. Some pens are not sharpeners.
    II. Some dustres are not sharpeners.
    Answer & Explanation
    (D) neither 1st nor 2nd
    Explanation:

    There is a possibility that all pens are sharpeners. So Some pens are not sharpeners do not follow. Same with second conclusion.
  4. Statements: Some tigers are dogs. All dogs are lions. No lions are rats.
    Conclusions:
    I. Some tigers are not lions.
    II. No tigers are rats.
    Answer & Explanation
    (D) neither 1st nor 2nd
    Explanation:

    There is a possibility that all tigers are lions. So Some tigers are not lions do not follow.
    II is not definite.
  5. Statements: Some squares are circles. No square is a cone. All circles are marbles.
    Conclusions:
    I. Some circles are cones
    II. Some circles are not cones
    Answer & Explanation
    (B) only 2nd follows
    Explanation:

    I is not definite.
    If all circles are cones is a possibility, then some squares will be cones which is not possible. So Some circles are not cones follows.
  6. Statements: All view are fonts. Some fonts are styles. All styles are reviews.
    Conclusions:
    I. Some fonts are reviews
    II. All views being styles is a possibility
    Answer & Explanation
    (E) both 1st and 2nd
    Explanation:

    I is definite.
    Since there is no negative statement, so a possibility conclusion occurs.
  7. Statements: Some reds are blue. All blue is black. Some black is yellow.
    Conclusions:
    I. Some reds are black
    II. Some yellow is not black
    Answer & Explanation
    (A) only 1st follows
    Explanation:

    All yellow being black is a possibility so, Some yellow is not black does not follow
  8. Statements: Some pens are pencils. All pens are erasers. No eraser is a duster.
    Conclusions:
    I. No pen is a duster
    II. Some pencils are erasers.
    Answer & Explanation
    (E) both 1st and 2nd
    Explanation:
    If some pens are duster, then some erasers will be duster which is not possible as per 3rd statement.
  9. Statements: Some plants are trees. No tree is stem. Some stems are petals.
    Conclusions:
    I. Some petals are plants
    II. Some stems are not plants
    Answer & Explanation
    (D) neither 1st nor 2nd
    Explanation:

    All stems are plants is a possibility, so some trees are not plants does not follow.
  10. Statements: No square is rectangle. All rectangles are circle. No circle is an sphere.
    Conclusions:
    I. No sphere is rectangle
    II. All squares being circle is a possibility.
    Answer & Explanation
    (E) both 1st and 2nd
    Explanation:

    No sphere is rectangle is true because, if some sphere is rectangle then some circle will be sphere which is not possible as per 3rd statement.
    II is a possibility.
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