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Syllogism
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In each of the
questions/set of questions beloware given two statements followed by two
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conclusions
numbered I and II. You have toassume everything in the statements to be true
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even i f they
seem to be at variance fromcommonly known facts and then decide which of
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the two given
conclusions logically follows fromthe information given in the statement.
Give
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answer
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1) if only
conclusion I follows.
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2) if only
conclusion II follows.
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3) if either
conclusion I or conclusion II follows.
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4) if neither
conelusion I nor conclusion II follows.
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5) if both
conclusions I and II follow.
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1. Statements:
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All rings are
circles.
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All squares are
rings.
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No ellipse is a
circle.
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Conclusions:
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I. Some rings
being ellipses is a
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possibility.
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II. At least some
circles are squares.
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1) if only
conclusion I follows.
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2) if only conclusion II follows.
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3) if either
conclusion I or conclusion II follows.
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4) if neither
conelusion I nor conclusion II follows.
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5) if both
conclusions I and II follow.
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2. Statements:
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No house is an
apartment.
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Some bungalows
are apartments.
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Conclusions:
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I. No house is a
bungalow.
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II. All bungalows
are houses.
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1) if only
conclusion I follows.
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2) if only
conclusion II follows.
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3) if either
conclusion I or conclusion II follows.
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4) if neither conelusion I nor conclusion
II follows.
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5) if both
conclusions I and II follow.
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3. Statements:
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Some gases are
liquids.
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All liquids are
water.
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Conclusions:
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I. All gases
being water is a possibility.
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II. All such
gases which are not water can
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never be liquids.
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1) if only
conclusion I follows.
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2) if only
conclusion II follows.
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3) if either
conclusion I or conclusion II follows.
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4) if neither
conelusion I nor conclusion II follows.
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5) if both conclusions I and II follow.
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4. Statements:
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All minutes are
seconds.
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All seconds are
hours.
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No second is a
day.
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Conclusions:
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I. No day is an
hour.
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II. At least some
hours are minutes.
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1) if only
conclusion I follows.
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2) if only conclusion II follows.
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3) if either
conclusion I or conclusion II follows.
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4) if neither
conelusion I nor conclusion II follows.
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5) if both
conclusions I and II follow.
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(5-6):
Statements:
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Some teachers are
professors.
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Some lecturers
are teachers.
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5. Conclusions:
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I. All teachers
as well as professors being
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lecturers is a
possibility.
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II. All those
teachers who are lecturers are
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also professors.
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1) if only conclusion I follows.
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2) if only
conclusion II follows.
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3) if either
conclusion I or conclusion II follows.
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4) if neither
conelusion I nor conclusion II follows.
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5) if both
conclusions I and II follow.
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6. Conclusions:
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I. No professor
is a lecturer.
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II. All lecturers
being professors is a
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possibility.
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1) if only
conclusion I follows.
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2) if only conclusion II follows.
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3) if either
conclusion I or conclusion II follows.
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4) if neither
conelusion I nor conclusion II follows.
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5) if both
conclusions I and II follow.
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7. Statements:
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Some squares are
circles.
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Some circles are
rectangles.
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Conclusions:
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I. At least some
rectangles are squares.
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II. No rectangle
is a square.
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1) if only
conclusion I follows.
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2) if only
conclusion II follows.
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3) if either conclusion I or conclusion
II follows.
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4) if neither
conelusion I nor conclusion II follows.
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5) if both
conclusions I and II follow.
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8. Statements:
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No office is a
palace.
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All colleges are
palaces.
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Conclusions:
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I. All palaces
are colleges.
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II. No college is
an office.
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1) if only
conclusion I follows.
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2) if only conclusion II follows.
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3) if either conclusion
I or conclusion II follows.
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4) if neither
conelusion I nor conclusion II follows.
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5) if both
conclusions I and II follow.
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9. Statements:
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All mountains are
rivers.
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All rivers are
lakes.
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Conclusions:
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I. All mountains
are lakes.
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II. At least some
lakes are rivers.
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1) if only
conclusion I follows.
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2) if only
conclusion II follows.
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3) if either
conclusion I or conclusion II follows.
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4) if neither
conelusion I nor conclusion II follows.
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5) if both conclusions I and II follow.
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10. Statements:
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Some wins are
losses.
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All trophies are
losses.
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Conclusions:
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I. All trophies
are wins.
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II. All losses
are trophies.
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1) if only
conclusion I follows.
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2) if only
conclusion II follows.
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3) if either
conclusion I or conclusion II follows.
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4) if neither conelusion I nor conclusion
II follows.
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5) if both
conclusions I and II follow.
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