DXC Logical Syllogism Quiz -3

Explanation:
Some birds are eagles. (birds ∩ eagles ≠ ∅)
All eagles are predators. (eagles ⊆ predators)
No predator is a herbivore. (predators ∩ herbivores = ∅)

Conclusion I: No herbivore is an eagle. This follows directly from the given statements, as no predator is a herbivore and all eagles are predators. Therefore, it follows.
Conclusion II: Some predators are not birds. We cannot determine this based on the given statements, as the relationship between predators and birds is not clearly defined. Therefore, it does not follow.
Conclusion III: Some birds are not herbivores. This does not follow directly from the given statements.Therefore, it does not follows.

Explanation:
Some flowers are roses. (flowers ∩ roses ≠ ∅)
All roses are red. (roses ⊆ red)
No red is blue. (red ∩ blue = ∅)
Some blues are skies. (blues ∩ skies ≠ ∅)

Conclusion I: Some blues are flowers. We cannot determine this based on the given statements, as the relationship between blues and flowers is not directly established. Therefore, it does not follow.
Conclusion II: Some skies being red is a possibility. This is true because the statements do not establish a direct relationship between skies and red, so it is possible for some skies to be red. Therefore, it follows.
Conclusion III: No blue is a flower. This does not follow directly from the given statements, as no red is blue and all roses are red but only some flowers are roses , so we cannot definitively say about other flowers. Therefore, it does not follow.
Hence, the correct answer is B) Only conclusion II follows.

Explanation:
Some cats are not dogs. (cats - dogs ≠ ∅)
All dogs are brown. (dogs ⊆ brown)
No brown is black. (brown ∩ black = ∅)

Answer: A) Only conclusion I follow.

Explanation:
Some cats are not dogs. (cats - dogs ≠ ∅)
All dogs are friendly. (dogs ⊆ friendly)
No friendly animal is aggressive. (friendly ∩ aggressive = ∅)
Conclusion I: No aggressive animal is a dog. This conclusion follows directly from statement 3, which states that no friendly animal is aggressive. Since all dogs are friendly (statement 2), it implies that no aggressive animal can be a dog. Therefore, Conclusion I follows.
Conclusion II: No cat is aggressive. There is no direct or indirect relation given between cats and aggressive nature. Therefore this conclusion does not follow.
Conclusion III: Some dogs are not cats. Conclusion III does not follows.

Answer: D) Neither conclusion I nor conclusion II follows

Explanation:

Answer: E. Both conclusion I and conclusion II follow

Explanation:
All apartments are simplex (A) + No duplex is an apartment (E) = A + E = E = “No apartment is a duplex” This is Conclusion II. Conclusion I is the Converse of it i.e. No duplex is an apartment. Hence, both conclusions I and II follow. Hence, option E is correct.

Answer: A) Neither I nor II follows.

 

Explanation:

In the given statements, there is no direct or indirect connection between lions and leopards. Therefore, we cannot conclude that all lions are leopards (conclusion I). Similarly, there is no information provided about the relationship between tigers and leopards, so we cannot conclude that some leopards are tigers (conclusion II). Hence, neither conclusion I nor II follows.

 

Answer: D) Conclusions I and II do not follow.

Explanation:

1. All books are pens. Books ⊆ Pens
2. Some pens are papers. Pens ∩ Papers ≠ Ø
3. No paper is a pencil. Paper ∩ Pencil = Ø
4. No pencil is an eraser. Pencil ∩ Eraser = Ø

Conclusion I: Based on the given statements, there is no direct connection or intersection provided between the sets of pens and erasers.Conclusion I does not follow.
Conclusion II: Since there is no intersection between the sets of erasers and pencils (from statement 4), we can conclude that some erasers are definitely not pencils. Conclusion II follows.
Conclusion III: There is no direct connection or intersection provided between the sets of books and pencils.Conclusion III does not follow.

Answer: D) Conclusions I and II do not follow.

Explanation:

1. All books are pens. Books ⊆ Pens
2. Some pens are papers. Pens ∩ Papers ≠ Ø
3. No paper is a pencil. Paper ∩ Pencil = Ø
4. No pencil is an eraser. Pencil ∩ Eraser = Ø

Conclusion I: Based on the given statements, there is no direct connection or intersection provided between the sets of pens and erasers.Conclusion I does not follow.
Conclusion II: Since there is no intersection between the sets of erasers and pencils (from statement 4), we can conclude that some erasers are definitely not pencils. Conclusion II follows.
Conclusion III: There is no direct connection or intersection provided between the sets of books and pencils.Conclusion III does not follow.

Answer: B) Conclusion II follow

Explanation:
1. Some cats are rats.Cats ∩ Rats ≠ Ø
2. All rats are dogs. Rats ⊆ Dogs
3. No dog is a bat. Dogs ∩ Bat = Ø
4. All bats are rabbits. Bats ⊆ Rabbits

Conclusion I: there is no direct connection or intersection provided between the sets of cats and dogs.Conclusion I does not follow.
Conclusion II:Since all rats are dogs (from statement 2) and no dog is a bat (from statement 3), we can conclude that some rats are not rabbits. Conclusion II follows.
Conclusion III: Based on the given statements, there is no direct connection or intersection provided between the sets of rats and bats.Conclusion III does not follow.
Conclusion IV:there is no direct connection or intersection provided between the sets of bats and cats. Conclusion IV does not follow.