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All questions of Syllogism for CSEET Exam

Statements:
All apples are fruits.
All fruits are healthy.
Conclusions:
1. Some apples are healthy.
2. All apples are healthy.
3. Some healthy things are fruits.
4. Some fruits are apples.
  • a)
    Only (2) and (3)
  • b)
    Only (1), (2), and (4)
  • c)
    Only (1), (2), and (3)
  • d)
    All the four
Correct answer is option 'D'. Can you explain this answer?

Shalini Kumar answered
Understanding the Statements
The statements provided are:
- All apples are fruits.
- All fruits are healthy.
From these statements, let's analyze the conclusions drawn.
Analysis of Conclusions
1. Conclusion 1: Some apples are healthy.
- Since all apples are fruits and all fruits are healthy, it logically follows that some apples must also be healthy. This conclusion is valid.
2. Conclusion 2: All apples are healthy.
- Again, since every apple falls under the category of fruits, and all fruits are healthy, it can be concluded that all apples are indeed healthy. This conclusion is also valid.
3. Conclusion 3: Some healthy things are fruits.
- Since all fruits are classified as healthy, it follows that some of the healthy things must be fruits. Therefore, this conclusion is valid.
4. Conclusion 4: Some fruits are apples.
- Given that all apples belong to the larger category of fruits, it can be concluded that there are indeed some fruits (specifically, apples) among all the fruits. This conclusion is valid.
Final Verdict
Since all four conclusions logically follow from the initial statements, the correct answer is:
Option D: All the four conclusions are valid.
Each conclusion is supported by the inherent relationships established in the statements, reinforcing the interconnectedness of apples, fruits, and health.

Statements:
No tree is an animal.
Some animals are humans.
Conclusions:
1. Some trees are humans.
2. No animal is a tree.
3. Some humans are not trees.
4. All animals are humans.
  • a)
    Only (2)
  • b)
    Only (1) and (4)
  • c)
    Only (2) and (3)
  • d)
    None of the four
Correct answer is option 'A'. Can you explain this answer?

EduRev CAT answered
From the first statement, "No tree is an animal" ⇒ "No animal is a tree" (converse) ⇒ (2) follows.
No relation between trees and humans ⇒ (1) and (3) do not follow.
No support for (4).
So Option A is correct

Directions: In each of the questions below are given three statements, followed by conclusions: I, II, III, IV. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements:
Some ships are boats.
All boats are submarines.
Some submarines are yatches.
Conclusion:
I. Some yatches are boats.
II. Some submarines are boats.
III. Some submarines are ships.
IV. Some yatches are ships
  • a)
    All follow
  • b)
    Only II and III follow
  • c)
    Only III follows
  • d)
    Only IV follows
Correct answer is option 'B'. Can you explain this answer?

Understanding the Statements
The statements provided are:
- Some ships are boats.
- All boats are submarines.
- Some submarines are yachts.
Now, let's analyze the conclusions based on these statements.
Analyzing Conclusions
1. Conclusion I: Some yachts are boats.
- This conclusion does not logically follow. We know that all boats are submarines, and some submarines are yachts, but we cannot definitively state that any yachts are boats.
2. Conclusion II: Some submarines are boats.
- This conclusion logically follows. Since all boats are submarines, it implies that there are submarines that are also boats.
3. Conclusion III: Some submarines are ships.
- This conclusion also logically follows. Since some ships are boats and all boats are submarines, it follows that there are submarines that are ships.
4. Conclusion IV: Some yachts are ships.
- This conclusion does not logically follow. Although some submarines are yachts, there is no direct correlation established between yachts and ships.
Final Verdict
Based on the analysis:
- Conclusions that follow: II and III
- Correct Answer: b) Only II and III follow
This conclusion is reached by understanding that while some relationships are established through the statements, others do not hold true logically based on the information given.

Statements:
Some fruits are mangos.
All mangos are guavas.
No guava is a banana.
Conclusions:
I. All guavas are fruits.
II. Some guavas are fruits
  • a)
    If only conclusion I follows.
  • b)
    If only conclusion II follows.
  • c)
    If either conclusion I or conclusion II follows
  • d)
    If both conclusions I and II follows.
Correct answer is option 'B'. Can you explain this answer?

Tarun Nambiar answered
(i)  All pages are markers     --> Universal Affirmative (A - type).
(ii) Some fruits are apples    --> Particular Affirmative (I - type)
(iii)No book is a page         --> Universal Negative (E - type).
(iv) Some books are  not pages --> Particular Negative (O - type).
Some fruits are mangos.
All mangos are guavas.
I + A => I - type of conclusion
"Some fruits are guavas".
Conclusion II is Converse of it.
All mangos are guavas
No guava is a banana.
A + E => E - type of conclusion
"No mango is a banana"
Answer Option B

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