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All questions of Syllogism for CLAT Exam

Directions : In each question below are given two Statements: followed by two conclusion numbered I and II. You have to take the two given statement to be true even if they seem to be at variance with commonly known facts and then decide which of the given Conclusions: logically follows from the two given statement, disregarding commonly know facts. Give Answer:
1)    if only conclusion I follows;
2)    if only conclusion II follows;
3)    if neither I nor II follows; and
4)    if both I and II follow.
Q.  Statements:                         
             Men are sinners.
             Saints are men.
             Conclusions:       
             I. Saints are sinners.
             II. Sinners are saints
  • a)
    1
  • b)
    2
  • c)
    3
  • d)
    4
Correct answer is option 'A'. Can you explain this answer?

Divisha rane answered
Given Statements:
- Men are sinners.
- Saints are men.

Conclusion I: Saints are sinners.
Conclusion II: Sinners are saints.

To determine if the given conclusions logically follow from the given statements, we need to examine the relationship between the terms used in the statements.

Analysis:
- Statement 1: Men are sinners. This implies that all men are sinners.
- Statement 2: Saints are men. This implies that all saints are a subset of men.

Conclusion I: Saints are sinners.
This conclusion does not logically follow from the given statements. Just because all men are sinners and all saints are men, it does not mean that all saints are sinners. It is possible for some men to be saints who lead a virtuous life and are not sinners.

Conclusion II: Sinners are saints.
This conclusion also does not logically follow from the given statements. Just because all saints are men and all men are sinners, it does not mean that all sinners are saints. It is possible for some men to be sinners who do not lead a virtuous life and are not saints.

Therefore, neither Conclusion I nor Conclusion II follows from the given statements.

Hence, the correct answer is option 3) neither I nor II follows.

In this question six statements are followed by four answer choices. Each of the answer choices has a combination of three statements  from the given statements. You are required to identify the answer choice in which the given statements are logically related and the third statement is a conclusion derived from the first two statements.
Q. 
A. Some boats are drawers.
B. Some boats are brown.
C. All drawers are brown.
D. All boats are brown.
E. All brown are boats.
F. Some brown are not boats.
  • a)
    ABC
  • b)
    ACB
  • c)
    FCD
  • d)
    EAC
Correct answer is option 'B'. Can you explain this answer?

Aryan Khanna answered
The correct option is B.

 
To determine the correct answer, we need to identify the combination of statements in which the third statement is a logical conclusion derived from the first two statements.
Let's evaluate the given options:
  1. ABC:
    • A. Some boats are drawers.
    • B. Some boats are brown.
    • C. All drawers are brown.
    Conclusion: The third statement (C) does not logically follow from the first two statements. It introduces new information that isn't derived from A and B. This option is incorrect.
  2. ACB:
    • A. Some boats are drawers.
    • C. All drawers are brown.
    • B. Some boats are brown.
    Conclusion: The third statement (B) can logically follow from the first two. If some boats are drawers (A), and all drawers are brown (C), then it follows that some boats could be brown. This option is correct.
  3. FCD:
    • F. Some brown are not boats.
    • C. All drawers are brown.
    • D. All boats are brown.
    Conclusion: The third statement (D) does not logically follow from F and C. There's a contradiction between F and D, making this option incorrect.
  4. EAC:
    • E. All brown are boats.
    • A. Some boats are drawers.
    • C. All drawers are brown.
    Conclusion: The third statement (C) does not logically follow from E and A. C introduces information not logically derived from E and A. This option is incorrect.
Answer: Option B (ACB) is the correct answer because the third statement (B) is logically derived from the first two statements (A and C).

In each of the questions below are given three statements followed by three conclusions numbered I, II and III, You have to take the given statements to be true even if they seem to be at variance from the commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
Statements: Some pens are books. All schools are books. Some colleges are schools.
Conclusions:
  1. Some colleges are pens.
  2. Some pens are schools.
  3. Some colleges are books.
  • a)
    Only I and II follow
  • b)
    Only II and III follow
  • c)
    Only I and III follow
  • d)
    All follow
  • e)
    None of these
Correct answer is option 'E'. Can you explain this answer?

Pranjal Kapoor answered
Some pens are books. All schools are books.
Since the middle term 'books' is not distributed even once in the premises, so no definite conclusion follows.
Some colleges are schools. All schools are books.
Since one premise is particular, the conclusion must be particular and should not contain the middle term.
So, it follows that 'Some colleges are books'. Thus, III follows.
Some pens are books. Some colleges are books.
Since both the premises are particular, no definite conclusion can be drawn.
Hence, only III follows.

In each of the questions below are given four statements followed by for conclusions numbered I, II, III and IV. You have to the take given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusion logically follows from the given statements disregarding commonly known facts.
Q.
Statements :
Some mails are chats.
All uploads are chats.
Conclusions :
(i) All mails being uploads is a possibility.
(ii) No upload is a mail.
  • a)
    If only conclusion I follows;
  • b)
    If only conclusion II follows;
  • c)
    If either I or II follows;
  • d)
    If neither I nor II follows; and
  • e)
    If both I and II follow
Correct answer is option 'A'. Can you explain this answer?

Prerna Sen answered
From the given statements, we can infer that:
  • Some chats are mails (from the first statement)
  • All uploads are chats (from the second statement)
Using these two statements, we can conclude that:
  • Some uploads are mails (since all uploads are chats, and some chats are mails)
Therefore, conclusion I that all mails being uploads is a possibility, logically follows from the given statements.
However, conclusion II that no upload is a mail does not logically follow from the given statements, as we have just shown that some uploads are mails.
Therefore, the correct answer is option 1: If only conclusion I follows.

In this question six statements are followed by four answer choices. Each of the answer choices has a combination of three statements  from the given statements. You are required to identify the answer choice in which the given statements are logically related and the third statement is a conclusion derived from the first two statements.
Q. 
A. All dancer are silver.
B. Some Helen are silver.
C. Some dancer may not be Helen.
D. Some dancer are Helen.
E. All silver are Helen.
F. All dancer are Helen.
  • a)
    ABD
  • b)
    ABC
  • c)
    FAE
  • d)
    CEA
Correct answer is option 'B'. Can you explain this answer?

Logical Reasoning - Syllogisms

Given Statements:
A. All dancer are silver.
B. Some Helen are silver.
C. Some dancer may not be Helen.
D. Some dancer are Helen.
E. All silver are Helen.
F. All dancer are Helen.

Finding the Conclusion:
We need to find the logically related statements and the conclusion derived from them.

Answer Choices:
a) ABD
b) ABC
c) FAE
d) CEA

Option B:
- Statement A: All dancer are silver.
- Statement B: Some Helen are silver.
- Statement C: Some dancer may not be Helen.

Explanation:
- Statement A says that all dancers are silver.
- Statement B says that some Helens are silver.
- Combining these two statements, we can conclude that some dancers are Helens (as they are both silver).
- Statement C says that some dancers may not be Helens. This statement is consistent with the conclusion that we derived from statements A and B. It is possible that some dancers are not Helens, but we know that some are.
- Therefore, option B is the correct answer as it contains logically related statements and a conclusion that can be derived from them.

Conclusion:
The correct answer is option B.

In this question six statements are followed by four answer choices. Each of the answer choices has a combination of three statements  from the given statements. You are required to identify the answer choice in which the given statements are logically related and the third statement is a conclusion derived from the first two statements.
Q. 
A. Some social Area.
B. No Area is radio.
C. Some Area may not be social.
D. All Area are radio.
E. All social are radio.
F. Some social are not Area.
  • a)
    BEA
  • b)
    EDC
  • c)
    FBE
  • d)
    ABE
Correct answer is option 'B'. Can you explain this answer?

Trisha nayar answered
Logical Reasoning - Syllogism

Given statements:

A. Some social are Area.
B. No Area is radio.
C. Some Area may not be social.

Answer choices:

A. BEA
B. EDC
C. FBE
D. ABE

In order to identify the answer choice in which the given statements are logically related and the third statement is a conclusion derived from the first two statements, we need to analyze each answer choice.

Option A: BEA
- Some social are radio. (from statement A and E)
- All radio are social. (from statement E)
- Conclusion: Some social are social. (incorrect, as it is redundant)

Option B: EDC
- All social are radio. (from statement E)
- Some Area may not be social. (from statement C)
- Conclusion: No conclusion can be derived from these two statements.

Option C: FBE
- Some social are not Area. (from statement F)
- Some social are radio. (from statement E)
- Conclusion: Some radio are not Area. (incorrect, as it contradicts statement B)

Option D: ABE
- Some social are Area. (from statement A)
- Some social are radio. (from statement E)
- Conclusion: Some Area are not radio. (incorrect, as it contradicts statement B)

Therefore, the correct answer is option B (EDC), as no conclusion can be derived from these two statements.

Directions : In each question below are given two Statements: followed by two conclusion numbered I and II. You have to take the two given statement to be true even if they seem to be at variance with commonly known facts and then decide which of the given Conclusions: logically follows from the two given statement, disregarding commonly know facts.
Statements:                      
             All pendrives are chalks.
             All chalks are computers.
Conclusions:       
             I. All computers are pendrives.
            II. All pendrives are computers
  • a)
        if only conclusion I follows;
  • b)
        if only conclusion II follows;
  • c)
        if neither I nor II follows; and
  • d)
        if both I and II follow.
Correct answer is option 'B'. Can you explain this answer?

Snehal gupta answered
Given Statements:
- All pendrives are chalks.
- All chalks are computers.

Conclusion I: All computers are pendrives.
Conclusion II: All pendrives are computers.

Explanation:

To find out which conclusions logically follow from the given statements, we need to analyze the statements and determine the relationship between the terms.

Statement 1: All pendrives are chalks.
This statement indicates that every pendrive is a chalk. In other words, the set of pendrives is completely contained within the set of chalks.

Statement 2: All chalks are computers.
This statement indicates that every chalk is a computer. In other words, the set of chalks is completely contained within the set of computers.

Conclusion I: All computers are pendrives.
To evaluate this conclusion, we need to see if it logically follows from the given statements. However, we can clearly see that this conclusion does not logically follow from the given statements. Just because every pendrive is a chalk and every chalk is a computer, it does not mean that every computer is a pendrive. There may be many other objects that fall under the category of computers which are not pendrives. Hence, Conclusion I does not follow.

Conclusion II: All pendrives are computers.
To evaluate this conclusion, we need to see if it logically follows from the given statements. From the given statements, we can see that every pendrive is a chalk and every chalk is a computer. Therefore, it can be inferred that every pendrive is also a computer. This conclusion logically follows from the given statements. Hence, Conclusion II follows.

Conclusion:
Based on the analysis, we can conclude that only Conclusion II (All pendrives are computers) follows from the given statements. Therefore, the correct answer is option b) if only conclusion II follows.

In each of the questions below given four statements followed by three conclusions numbered I, II and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.
​Q. ​​
Statements:
Some lenses are poles.
All poles are skies.
Some skies are boxes.
No box is a bottle.
Conclusions:
I. Some bottles are lens
II. Some boxes are poles.
III. No bottle is a lens.
  • a)
     I and II follows
  • b)
    II and III follows
  • c)
    Only I follows
  • d)
    Only II follows
  • e)
    Only III follows
Correct answer is option 'E'. Can you explain this answer?

EduRev CLAT answered
To solve the problem, we need to analyze the statements and the conclusions based on logical reasoning.
Given Statements:
  1. Some lenses are poles.
  2. All poles are skies.
  3. Some skies are boxes.
  4. No box is a bottle.
 Analysis of Conclusions:
- Conclusion I: Some bottles are lenses.
  - This cannot be true since there is no direct relation established between bottles and lenses in the statements. The statements do not imply any relationship between them.
- Conclusion II: Some boxes are poles.
  - This conclusion does not logically follow. The statements indicate that some skies are boxes and all poles are skies, but this does not mean that boxes can be poles.
- Conclusion III: No bottle is a lens.
  - This conclusion follows logically from statement 4 ("No box is a bottle") and statement 1 ("Some lenses are poles"). Since some lenses are poles and no box is a bottle, it suggests that bottles cannot be lenses.
Final Evaluation:
- Only Conclusion III logically follows.
Thus, the correct answer is e) Only III follows.

In the town of Oakridge, the public library faces budget constraints, prompting a heated debate about resource allocation. The library committee uses logical reasoning to prioritize resources, such as books, digital subscriptions, and community programs, to maximize public benefit. Their decisions rest on categorical statements that form the basis of their strategy, but critics argue that this approach risks overlooking nuanced community needs. Analyzing these statements through syllogistic reasoning is essential to assess the committee’s proposals and their implications.

The committee operates with the following statements:
  1. All children’s programs are essential services.
  2. All essential services require increased funding.
  3. Some digital subscriptions are educational resources.
  4. All educational resources attract young readers.
  5. Some young readers participate in children’s programs.
These statements create a logical framework. For instance, the committee concludes that children’s programs must receive increased funding due to their essential nature. Critics, however, question whether digital subscriptions, which may also serve young readers, deserve equal priority. The statements suggest a connection between young readers and essential services, raising questions about how to balance funding across resources.

Consider Priya, a committee member, evaluating a proposal: “All children’s programs should receive more funding than digital subscriptions because they directly benefit young readers.” Priya must determine if this proposal logically follows from the statements. Another member, Arjun, argues for prioritizing only resources that attract young readers, prompting debate about whether this aligns with the library’s broader mission to serve all residents. The committee’s reliance on syllogistic reasoning highlights a tension: while logical consistency strengthens their strategy, oversimplification could alienate other community members, such as adult learners. Critics suggest a more flexible approach, but the committee defends its method as transparent and equitable.
Which of the following, if true, would weaken Arjun’s suggestion to prioritize only resources that attract young readers?
  • a)
    Some digital subscriptions benefit adult learners who are vital to the library’s mission.
  • b)
    All young readers participate in children’s programs.
  • c)
    All educational resources are already fully funded.
  • d)
    No digital subscriptions attract young readers.
Correct answer is option 'A'. Can you explain this answer?

EduRev CLAT answered
Arjun’s suggestion focuses on resources attracting young readers. If digital subscriptions benefit adult learners vital to the library’s mission (a), prioritizing only young reader-focused resources could neglect broader community needs, weakening Arjun’s suggestion. Other options support or are irrelevant to his focus.

In the town of Oakridge, the public library faces budget constraints, prompting a heated debate about resource allocation. The library committee uses logical reasoning to prioritize resources, such as books, digital subscriptions, and community programs, to maximize public benefit. Their decisions rest on categorical statements that form the basis of their strategy, but critics argue that this approach risks overlooking nuanced community needs. Analyzing these statements through syllogistic reasoning is essential to assess the committee’s proposals and their implications.

The committee operates with the following statements:
  1. All children’s programs are essential services.
  2. All essential services require increased funding.
  3. Some digital subscriptions are educational resources.
  4. All educational resources attract young readers.
  5. Some young readers participate in children’s programs.
These statements create a logical framework. For instance, the committee concludes that children’s programs must receive increased funding due to their essential nature. Critics, however, question whether digital subscriptions, which may also serve young readers, deserve equal priority. The statements suggest a connection between young readers and essential services, raising questions about how to balance funding across resources.

Consider Priya, a committee member, evaluating a proposal: “All children’s programs should receive more funding than digital subscriptions because they directly benefit young readers.” Priya must determine if this proposal logically follows from the statements. Another member, Arjun, argues for prioritizing only resources that attract young readers, prompting debate about whether this aligns with the library’s broader mission to serve all residents. The committee’s reliance on syllogistic reasoning highlights a tension: while logical consistency strengthens their strategy, oversimplification could alienate other community members, such as adult learners. Critics suggest a more flexible approach, but the committee defends its method as transparent and equitable.
Which statement, if true, would strengthen the committee’s argument that all children’s programs require increased funding?
  • a)
    Some children’s programs do not attract young readers.
  • b)
    All young readers benefit significantly from children’s programs.
  • c)
    Some digital subscriptions are not educational resources.
  • d)
    All essential services are fully funded.
Correct answer is option 'B'. Can you explain this answer?

Crafty Classes answered
Statements 1 and 2 establish that children’s programs, as essential services, require increased funding. If all young readers benefit significantly from these programs (b), this strengthens the case for increased funding by emphasizing their impact. Other options weaken or are irrelevant to the argument.

In the town of Oakridge, the public library faces budget constraints, prompting a heated debate about resource allocation. The library committee uses logical reasoning to prioritize resources, such as books, digital subscriptions, and community programs, to maximize public benefit. Their decisions rest on categorical statements that form the basis of their strategy, but critics argue that this approach risks overlooking nuanced community needs. Analyzing these statements through syllogistic reasoning is essential to assess the committee’s proposals and their implications.

The committee operates with the following statements:
  1. All children’s programs are essential services.
  2. All essential services require increased funding.
  3. Some digital subscriptions are educational resources.
  4. All educational resources attract young readers.
  5. Some young readers participate in children’s programs.
These statements create a logical framework. For instance, the committee concludes that children’s programs must receive increased funding due to their essential nature. Critics, however, question whether digital subscriptions, which may also serve young readers, deserve equal priority. The statements suggest a connection between young readers and essential services, raising questions about how to balance funding across resources.

Consider Priya, a committee member, evaluating a proposal: “All children’s programs should receive more funding than digital subscriptions because they directly benefit young readers.” Priya must determine if this proposal logically follows from the statements. Another member, Arjun, argues for prioritizing only resources that attract young readers, prompting debate about whether this aligns with the library’s broader mission to serve all residents. The committee’s reliance on syllogistic reasoning highlights a tension: while logical consistency strengthens their strategy, oversimplification could alienate other community members, such as adult learners. Critics suggest a more flexible approach, but the committee defends its method as transparent and equitable.
Based on the given statements, which conclusion logically follows?
  • a)
    All digital subscriptions attract young readers.
  • b)
    Some children’s programs are educational resources.
  • c)
    Some young readers benefit from essential services.
  • d)
    No digital subscriptions are essential services.
Correct answer is option 'C'. Can you explain this answer?

Crafty Classes answered
Statement 5 (“Some young readers participate in children’s programs”) and Statement 1 (“All children’s programs are essential services”) imply that some young readers participate in essential services, making c valid. Option a is incorrect (only some digital subscriptions are educational, per Statement 3); b is not supported (no link between children’s programs and educational resources); d is not supported (no statement rules out digital subscriptions as essential).

In this question six statements are followed by four answer choices. Each of the answer choices has a combination of three statements  from the given statements. You are required to identify the answer choice in which the given statements are logically related and the third statement is a conclusion derived from the first two statements.
Q.  
A. Some square are round.
B. All square are rectangle.
C. Some round are rectangle.
D. All round are square.
E. All rectangle are square.
F. Some rectangle are square.
  • a)
    CDE
  • b)
    FAB
  • c)
    DCF
  • d)
    EDC
Correct answer is option 'C'. Can you explain this answer?

Abhijeet Sen answered
Statement Analysis:
Let's analyze each statement and find the logical relationships between them.

A. Some square are round.
This statement implies that there exists at least one square that is also round.

B. All square are rectangle.
This statement implies that every square is also a rectangle.

C. Some round are rectangle.
This statement implies that there exists at least one round shape that is also a rectangle.

D. All round are square.
This statement implies that every round shape is also a square.

E. All rectangle are square.
This statement implies that every rectangle is also a square.

F. Some rectangle are square.
This statement implies that there exists at least one rectangle that is also a square.

Logical Relationships:
1. Statement B and E both claim that every square is a rectangle and every rectangle is a square. Therefore, B and E are logically related.

2. Statements A and F both claim the existence of squares that are also round. Therefore, A and F are logically related.

3. Statements C and D both claim the existence of shapes that are both round and rectangle. Therefore, C and D are logically related.

Conclusion:
By analyzing the logical relationships between the statements, we can conclude that:
- Some round are rectangle (Statement C) is a conclusion derived from the first two statements, which are logically related.

Answer:
The answer is option C, which includes statements DCF.

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