## Syllogism

#### Syllogism

Direction: In each of the following questions, two statements are given followed by two/four conclusions I, II III and IV. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.

1. Statements:
(a) All peacocks are lions.
(b) Some tigers are peacocks.
Conclusions:
I. Some lions are not tigers.
II. All tigers are lions.
III. Some tigers are lions.
IV. All peacocks are tigers.

1. (i) All peacocks are lions → Universal Affirmative (A-type).
(ii) Some tigers are peacocks → Particular Affirmative (I-type).
(iii) No tiger is a lion → Universal Negative (E-type).
(iv) Some tigers are not lions → Particular Negative (O-type).

##### Correct Option: A

(i) All peacocks are lions → Universal Affirmative (A-type).
(ii) Some tigers are peacocks → Particular Affirmative (I-type).
(iii) No tiger is a lion → Universal Negative (E-type).
(iv) Some tigers are not lions → Particular Negative (O-type).
Some tigers are peacocks. ↔ All peacocks are lions.
I + A ⇒ I-type of Conclusion. “Some tigers are lions”.
This is Conclusion III.

Direction: In each of the following questions, two statements are given followed by two/four conclusions I, II, III and IV. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.

1. Statements:
(a) No mobile is a watch.
(b) All watches are calculators.
Conclusions:
I. No calculator is a mobile.
II. Some calculators are mobiles.

1. No mobile is a watch. ↔ All watches are calculators.

##### Correct Option: D

No mobile is a watch. ↔ All watches are calculators.
E + A ⇒ O1 -type of Conclusion. “Some calculators are not mobiles”.
Conclusions I and II form Complementary Pair, Therefore, either Conclusion I or Conclusion II follows.

Direction: In each of the following questions, two statements are given followed by two/four conclusions I, II, III and IV. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.

1. Statements:
(a) All benches are table.
(b) No table is chair.
Conclusion:
I. All benches are chiars
II. All tables are benches
III. No tables are benches
IV. No benches are chairs

1. First Premise is Universal Affirmative (A-type).
Second Premise is Universal Negative (E-type).
All benches are tables. ↔ No table is chair

##### Correct Option: C

First Premise is Universal Affirmative (A-type).
Second Premise is Universal Negative (E-type).
All benches are tables. ↔ No table is chair
A + E ⇒ E-type of Conclusion “No bench is chair.”
This is Conclusion IV.

Direction: In each of the following questions two/three statements are given followed by two/four conclusions I, II, III and IV. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.

1. Statements:
(a) Some books are mobiles.
(b) Some calculators are mobiles.
Conclusions:
I. Some mobiles are calculators.
II. Some mobiles are books.

1. Both the Premises are Particular Affirmative (I-type). No Conclusion follows from the two Particular Premises.

##### Correct Option: C

Both the Premises are Particular Affirmative (I-type). No Conclusion follows from the two Particular Premises.
Conclusion I is the Converse of the second Premise.
Conclusion II is the converse of the first Premise.

Direction: In each of the following questions, two statements are given followed by two/four conclusions I, II, III and IV. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.

1. Statements:
(a) Some stones are gold.
(b) Some gold are banks.
Conclusions:
I. Some banks are stones.
II. Some gold are stones.
III. No stone is bank.
IV. Some banks are gold.

1. Both the Premises are Particular Affirmative (I-type).
No Conclusion follows from the two Particular Premises.

##### Correct Option: B

Both the Premises are Particular Affirmative (I-type).
No Conclusion follows from the two Particular Premises.
Conclusion II is Converse of the first statement.
Conclusion IV is Converse of the second statement.
Conclusions I and III form Complementary Pair. Therefore, either I or III follows.