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Syllogism Test Type 1

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  1. Question 1 of 20
    1. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    All fish are birds.
    Some hens are fish.

    Conclusions:
    I. Some hens are birds.
    II. No birds are hens.

    Hint

    Some hens are fish. (I-Type)
    All fish are birds. (A-Type)
    I+A ⇒ I-type
    “Some hens are birds.”
    This is Conclusion I.

  2. Question 2 of 20
    2. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    Some shoes are coats.
    Some coats are buttons

    Conclusions:
    I. No button is a shoe.
    II. Some shoes are buttons.

    Hint

    Both the Premises are Particular Affirmative.
    No Conclusion follows from Particular Premises.

    Conclusions I and II form Complementary Pair.
    Therefore, either Conclusion I or II follows.

  3. Question 3 of 20
    3. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    All bats are boys.
    All boys are gloves.

    Conclusions:
    I. Some gloves are bats.
    II. All bats are gloves.

    Hint

    All bats are boys. (A-Type)
    All boys are gloves. (A-Type)
    A+A ⇒ A type Conclusion
    “All bats are gloves.”
    This is Conclusion II.
    Conclusion I is Converse of this Conclusion.

  4. Question 4 of 20
    4. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    Some doctors are nurses.
    All nurses are patients.

    Conclusions:
    I. All doctors are patients.
    II. Some patients are doctors.

    Hint

    All bats are boys. (A-Type)
    All boys are gloves. (A-Type)
    A+A ⇒ A type Conclusion
    “All bats are gloves.”
    This is Conclusion II.
    Conclusion I is Converse of this Conclusion.

  5. Question 5 of 20
    5. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    All leaders are good team workers.
    All good team workers are good orators.

    Conclusions:
    I. Some good team workers are leaders.
    II. All good orators are leaders.

    Hint

    Conclusion I is the conversion of the first statement, hence I follows.
    But II does not follow because A+A ⇒ A type Conclusion
    i.e., All leaders are good orators but not vice versa.

  6. Question 6 of 20
    6. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    All terrorists are human.
    All humans are bad.

    Conclusions:
    I. All terrorists are bad.
    II. No human can be a terrorist.

    Hint

    A+A ⇒ A type Conclusion
    i.e., All terrorists are bad.

  7. Question 7 of 20
    7. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    Some social workers are followers.
    Some followers are famous.

    Conclusions:
    I. All social workers are famous.
    II. Some followers are social workers.

    Hint

    I does not follow. But II follows because it is the conversion of the first statement.

  8. Question 8 of 20
    8. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    All graduates are chairs.
    All chairs and tables.

    Conclusions:
    I. All graduates are tables.
    II. All tables are graduates.

    Hint

    All graduates are chairs.
    All chairs are tables
    Conclusion: All graduates are tables. (A+A⇒A-type)
    Hence I follows.
    Conclusion: Some tables are graduates. (Conversion)
    Hence II does not follows.

  9. Question 9 of 20
    9. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    Every minister is a student.
    Every student is inexperienced.

    Conclusions:
    I. Every minister is inexperienced.
    II. Some inexperienced are students.

    Hint

    Every minister is a student.
    Every student is inexperienced.
    Conclusion: Every minister is inexperienced. (A+A⇒A-type)
    Hence I follows.
    Every student is inexperienced.
    Conclusion: Some inexperienced are students. (Conversion)
    Hence II follows.

  10. Question 10 of 20
    10. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    Some teachers are followers.
    Some followers are famous.

    Conclusions:
    I. Some teachers are famous.
    II. Some followers are teachers.

    Hint

    Some teachers are followers.
    Conclusion: Some followers are teachers. (Conversion)
    Hence, II follows.
    Since both statements are I-type, therefore, Conclusion I does not follow.

  11. Question 11 of 20
    11. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    Some dedicated souls are angels.
    All social workers are angels.

    Conclusions:
    I. Some dedicated souls are social workers.
    II. Some social workers are dedicated souls.

    Hint

    Some dedicated souls are angles.
    Conclusion: Some angels are dedicated souls. (Conversion)
    Statement: All social workers are angels
    Conclusion: Some social workers are angels. (Implication)
    Some angels are social workers. (Conversion)
    No mediate inference follows. Hence, no given Conclusions follows.

  12. Question 12 of 20
    12. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    All bulbs are tables.
    Some bulbs are pots.

    Conclusions:
    I. All pots are tables.
    II. No pot is table.
    III. Some pots are tables.

    Hint

    Conversion of 2nd statement + 1st Statement gives conclusion III (I+A⇒I-type).
    Hence, III follows but conclusions I and II do not follow.

  13. Question 13 of 20
    13. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    All rats are bells.
    All bells are cars.

    Conclusions:
    I. All bells are rats.
    II. Some cars are neither bells nor rats.
    III. No car is a rat.

    Hint

    1st Statement + 2nd Statement gives the conclusion
    “All rats are cars” (A+A⇒A-type)
    “Some cars are rats”.
    Hence neither conclusion II nor conclusion III follows.
    Since the conversion of first Statement will give the conclusion “Some bells are rats”.
    Hence, conclusion I does not follow.

  14. Question 14 of 20
    14. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    All roads are trees.
    No tree is soap.

    Conclusions:
    I. No soap is road.
    II. Some trees are roads.
    III. No road is soap.

    Hint

    Conversion of first Statement gives conclusion II.
    Hence, conclusion II follows.
    Again 1st Statement + 2nd statement gives conclusion III (A+E⇒E-type).
    Hence, conclusion III follows.
    Conclusion I follows from the conversion of conclusion III. Hence, All follow.

  15. Question 15 of 20
    15. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    Some hotels are bricks.
    All bananas are bricks.

    Conclusions:
    I. Some bananas are hotels.
    II. Some bricks are hotels.
    III. No banana is hotel.

    Hint

    Conclusion II follows from the conversion of first Statement.
    Now, 2nd statement + conversion of 1st Statement gives no conclusion (A+I⇒no conclusion).
    Hence, conclusions I and III do not follow.
    But conclusion I and conclusion III make an IE-type complementary pair.
    Hence either conclusion I or conclusion III follows.

  16. Question 16 of 20
    16. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    Some books are lamps.
    Some lamps are rods.

    Conclusions:
    I. Some books are rods.
    II. No rod is either book or lamp.
    III. All rods are lamps.

    Hint

    1st Statement + 2nd statement gives no conclusion (I+I⇒no conclusion).
    Therefore, conclusion I does not follow.
    Again conversion of  2nd statement gives the conclusion “Some rods are lamps”.
    Hence, conclusions II and III do not follow.

  17. Question 17 of 20
    17. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    All tables are boxes.
    Some boxes are windows.

    Conclusions:
    I. Some tables are windows.
    II. All boxes are tables.
    III. No window is a table.

    Hint

    1st Statement + 2nd statement gives no conclusion. [A+I⇒no conclusion].
    Hence, conclusion I and conclusion III do not follow independently.
    But, conclusion I and conclusion III make a complementary pair (IE-type).
    Hence, either I or III follows.
    Conclusion II does not follow because “All tables are boxes” gives only the following conclusions:
    1. Some tables are boxes.
    2. Some boxes are tables.

  18. Question 18 of 20
    18. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    No room is tiger.
    All tigers are goats

    Conclusions:
    I. Some goats are rooms.
    II. All goats are rooms.
    III. Some goats are tigers.

    Hint

    1st statement + 2nd statement gives the conclusion
    “Some goats are not rooms” [E+A⇒O*].
    Thus, conclusions I and II do not follow.
    Conclusion III follows from second statement.

  19. Question 19 of 20
    19. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    Some cars are roads.
    Some roads are buses.

    Conclusions:
    I. Some roads are cars.
    II. Some buses are cars.
    III. Some buses are roads.

    Hint

    1st statement + 2nd statement gives no conclusion
    [I+I⇒no conclusion].
    Hence, conclusion II does not follow.
    Conclusion I follows from conversion of 1st Statement.
    On a similar basis, conclusion III also follows.

  20. Question 20 of 20
    20. Question

    Which of the conclusions logically follows from the given statements?
    Statements:
    Some men are lions.
    All foxes are lions.

    Conclusions:
    I. Some foxes are men.
    II. Some lions are men.
    III. All lions are foxes.

    Hint

    Conversion of 1st Statement gives the conclusion
    “Some lions are men”.
    Hence, conclusion II follows [say statement].
    Now, 2nd statement + conclusion II gives no conclusion
    [A+I⇒no conclusion].
    Therefore, conclusion I does not follow.
    Conclusion III does not follow because an A-type statement gives I-type conclusions.

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