Question 1

Statements: All children are playful. Some animals are playful. Conclusions: I. Some animals are children. II. Some children are animals.

Accepted Answer

We can align the premises by converting the second premise. All children are playful. ↔ some playfuls are animals. We know that, A + I → No conclusion.

Question 2

Statements: (a) Some skirts are benches. (b) No bench is a table. Conclusions: I. Some skirts are tables. II. Some benches are skirts. III. All benches are skirts. IV. Some tables are skirts.

Accepted Answer

First Premise is Particular Affirmative (I - type). Second Premise is Universal Negative (E - type). Some skirts are benches. ↔ No bench is a table. I + E ⇒ O – type of Conclusion "Some skirts are not tables." Conclusion II is Converse of the first Premise.

Question 3

Statements: (a) All pens are pencils. (b) No pencil is monkey. Conclusions: I. No pen is monkey. II. Some pens are monkeys. III. All monkeys are pens. IV. Some monkeys are pens.

Accepted Answer

First Premise is Universal Affirmative (A–type). Second Premise is Universal Negative (E–type). All pens are pencils. ↔ No pencil is monkey. A + E = E-type of Conclusion "No pen is monkey". This is Conclusion I.

Question 4

Statements: (a) All dogs are rats. (b) All rats are crows. (c) All crows are parrots. Conclusions: (I) All dogs are parrots. (II) Some parrots are dogs. (III) Some crows are dogs. (IV) All rats are dogs.

Accepted Answer

All the three Premises are Universal Affirmative (A-type). All dogs are rats. ↔ All rats are crows. A + A ⇒ A-type of Conclusion "All dogs are crows." Conclusion III is converse of it. All rats are crows. ↔ All crows are parrots. A + A ⇒ A-type of Conclusion "All rats are parrots." All dogs are crows. ↔ All crows are parrots. A + A ⇒ A-type of Conclusion "All dogs are parrots." This is Conclusion I. Conclusion II is converse of it.

Question 5

Statements: (a) All animals are dogs. (b) All dogs are birds. Conclusions: I. All animals are birds. II. All birds are animals.

Accepted Answer

Both the Premises are Universal Affirmative (A - type). All animals are dogs. ↔ All dogs are birds. A + A ⇒ A-type of Conclusion "All animals are birds." It is Conclusion I.

Question 6

Statements: Some phones are watches. All watches are guns. Conclusions: I. All guns are watches. II. Some guns are Phones.

Accepted Answer

First Premise is Particular Affirmative (I – type). Second Premise is Universal Affirmative (A-type). Some phones are watches. ↔ All watches are guns. I + A ⇒ I - type of Conclusion "Some phones are guns". Conclusion II is Converse of this Conclusion.

Question 7

Statements: (a) All students like excursions. (b) Some students like Laboratory experiments. Conclusions: (I) Students who like Laboratory experiments also like excursions. (II) Some students do not like Laboratory experiments but likes excursion.

Accepted Answer

Some is a part of All. Therefore, conclusion I follows. Since all students like excursion, therefore, Conclusion II also follows .

Question 8

Statement: Some dogs bark. All dogs bite. Conclusions: I. Those dogs who do not bark, also bite. II. Those dogs who do not bark, not necessarily bite.

Accepted Answer

Only Conclusion I follows : Some who bark are dogs. All dogs bite. It means those dogs who do not bark, also bite.

Question 9

Statements: (a) Some humane creatures are angels. (b) All doctors are angels. Conclusions: I. Some humane creatures are doctors. II. Some doctors are humane creatures.

Accepted Answer

First Premise is Particular Affirmative (I-type). Second Premise is Universal Affirmative (A-type). All doctors are angels. ↔ Some angels are human creatures. A + I = No Conclusion

Question 10

Statement: No children are voters. Conclusions: I. All adults are voters. II. No voters are children.

Accepted Answer

The given statement is Universal Negative (E-type). Conclusion II is Converse of it.

Question 11

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.

Accepted Answer

(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.

Question 12

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

Accepted Answer

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.

Question 13

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

Accepted Answer

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.

Question 14

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

Accepted Answer

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.

Question 15

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.

Accepted Answer

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.

Question 16

Statements: (a) All men are bachelors. (b) Some bachelors are teachers. (c) Some teachers are spiritual. Conclusions: I. All men are spiritual. II. Some teachers are spiritual. III. Some men are spiritual. IV. All teachers are spiritual.

Accepted Answer

The first Premise is Universal Affirmative (A–type). The second and the third Premises are Particular Affirmative (I–type). All men are bachelors. ↔ Some bachelors are teachers. A + I ⇒ No Conclusion Conclusion II is the Converse of the third Premise.

Question 17

Statements: Some food are sweet. Some food are sour. Conclusions: (I) All food are either sweet or sour. (II) Some sweets are sour.

Accepted Answer

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

Question 18

Statements: Some ladies are beautiful. Some beautiful. are honest. All honest are sensitives. Conclusion 1: Some sensitives are beautiful. Conclusion 2: Some honest are ladies. Conclusion 3: Some sensitives are ladies.

Accepted Answer

The first and second Premises are Particular Affirmative (I-type). The third Premise is Universal Affirmative (A-type). Some beautifuls are honest. ↔ All honest are sensitives. I + A ⇒ I-type of Conclusion "Some beautifuls are sensitives." Conclusion 1 is Converse of it.

Question 19

Statements: All pens are pencils. No pencil is an eraser. Conclusions: I. No eraser is a pen. II. No pen is an eraser.

Accepted Answer

The first Premise is Universal Affirmative (A-type) The second Premise is Universal Negative (E-type). All pens are pencils. ↔ No pencil is an eraser. A + E ⇒ E-type of Conclusion "No pen is an eraser". This is Conclusion II. Conclusion I is the Converse

Question 20

Statements: Some hills are rivers. Some rivers are deserts. All deserts are roads. Conclusions: I. Some roads are rivers. II. Some roads are hills. III. Some deserts are hills.

Accepted Answer

First and second Premises are Particular Affirmative (I-type). Third Premise is Universal Affirmative (A-type). Some rivers are deserts. All deserts are roads. I + A ⇒ I-type of Conclusion "Some rivers are roads." Conclusion I is Converse of it.

Syllogism Questions