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All questions of Syllogism for Bank Exams Exam

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Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
No plate is a spoon.
Some plates are forks.
All forks are knives.
Conclusions:
I. Some plates are knives is a possibility.
II. No spoon is a fork.
  • a)
    Only conclusion I follows
  • b)
    Neither conclusion I nor II follows
  • c)
    Both conclusions I and II follow
  • d)
    Only conclusion II follows
Correct answer is option 'B'. Can you explain this answer?

EduRev CLAT answered
Statement:
No plate is a spoon.
Some plates are forks.
All forks are knives.
The least possible diagram for the given statements is as follows:
Conclusions:
(i) Some plates are knives is a possibility - False (Some plates are forks and All forks are knives, so some plates are knives is definitely true).
(ii) No spoon is a fork - False (Because No direct relation given between them, so It can be possible not definite).
Here, Neither conclusion I nor II follows.
Hence, the correct answer is "Option 2".

In the following question below are given some statements followed by some conclusions based on those statements Taking 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 conclusion logically follows the given statements.
Statements:
I. All Z are Y.
II. Some Y are B.
Conclusion:
I. Some B are not Z.
II. Some Y are not Z.
III. Some Z are Y. 
  • a)
    Only conclusion III follows 
  • b)
    Both conclusions I and III follows  
  • c)
    Both conclusions II and III follows 
  • d)
    All conclusion follows 
Correct answer is option 'C'. Can you explain this answer?

EduRev CLAT answered
Given Statements:
I. All Z are Y.
II. Some Y are B.
The least possible Venn diagram for the given statement is:
Conclusions:
Conclusion I: False ("Some B are not Z" is not true because there is no negative relation between B and Z. It may be possible but not definitely true. In syllogism, we take the definite cases as true. So this conclusion not follow.)
Conclusion II: False ("Some Y are not Z" is not true because there is no negative relation between Y and Z. It may be possible but not definitely true. So, this conclusion also not follow.)
Conclusion III: True ("Some Z are Y" is true because when all Z are Y is given then "some Z are Y" is also true. Please note that "some" is a subset of "all". For example, when all boys are male, then "some boys are male" is also true.) 
So, Only conclusion III follows.
Hence, the correct answer is "Option 3".

Each of the questions below starts with a few statements, followed by four conclusions numbered 1, 2, 3 and 4.  You have to consider every given statement as true, even if it does not conform to the accepted facts.  Read the conclusions carefully and then decide which of the conclusion(s) logically follow(s) from the given statements, disregarding commonly known facts.
Statements:
a. All teachers are professors
b. All professors are researchers
c. All researchers are consultants
Conclusions:
1. Some consultants are teachers
2. All professors are consultants
3. Some researchers are teachers
4. All professors are teachers
  • a)
    Only 1 and 2 follow
  • b)
    Only 1 and 3 follow
  • c)
    Either 1 or 4 follow
  • d)
    None of the above
Correct answer is option 'D'. Can you explain this answer?

EduRev CLAT answered
Answer: Option D
All teachers are professors.
This means that either the set of teachers is identical to the set of professors or the set of teachers is a subset of the set of professors.
All professors are researchers.
This means that either the set of researchers is identical to the set of professors or the set of professors is a subset of the set of researchers.
All researchers are consultants.
This means that either the set of researchers is identical to the set of consultants or the set of researchers is a subset of the set of consultants.
Let us analyze the conclusions now
1) Some consultants are teachers
This is true as the set of teachers will atleast be a subset of professors which atleast will be a subset of researchers which will atleast be a subset of consultants.
2) All professors are consultants.
Set of professors will always be atleast a subset of researchers which will always be atleast a subset of consultants.
Hence this statement is also true.
3) Some researchers are teachers.
From the analysis of statement 1, we know that this statement is also true.
4) All professors are teachers.This is untrue because the set of professors is not a subset of teachers.

Directions to Solve
In each of the following questions two statements are given. Which are followed by four conclusions (1), (2), (3) and (4). Choose the conclusions which logically follow from the given statements.
Question -
Statements: All the goats are tigers. All the tigers are lions.
Conclusions:
  1. All the goats are lions.
  2. All the lions are goats.
  3. Some lions are goats.
  4. Some tigers are goats.
  • a)
    All the four
  • b)
    Only (1), (2) and (3)
  • c)
    Only (1), (3) and (4)
  • d)
    Only (2), (3) and (4)
Correct answer is option 'C'. Can you explain this answer?

Rahul Gupta answered
**Logical Reasoning: Statements and Conclusions**

**Statements:**
- All the goats are tigers.
- All the tigers are lions.

**Conclusions:**
1) All the goats are lions.
2) All the lions are goats.
3) Some lions are goats.
4) Some tigers are goats.

To determine which conclusions logically follow from the given statements, we need to analyze the information provided.

**Explanation:**

From the given statements, we can infer the following:

- All the goats are tigers. (Statement 1)
- All the tigers are lions. (Statement 2)

Based on these statements, we can draw the following conclusions:

**Conclusion 1: All the goats are lions.**
This conclusion cannot be logically inferred from the given statements because there is no direct relationship between goats and lions. The statements only establish a relationship between goats and tigers, and between tigers and lions. Therefore, conclusion 1 is not valid.

**Conclusion 2: All the lions are goats.**
This conclusion cannot be logically inferred from the given statements because there is no direct relationship between lions and goats. The statements only establish a relationship between goats and tigers, and between tigers and lions. Therefore, conclusion 2 is not valid.

**Conclusion 3: Some lions are goats.**
This conclusion can be logically inferred from the given statements. Since all the goats are tigers, and all the tigers are lions, it is possible for some lions to also be goats. Therefore, conclusion 3 is valid.

**Conclusion 4: Some tigers are goats.**
This conclusion can be logically inferred from the given statements. Since all the goats are tigers, it is possible for some tigers to also be goats. Therefore, conclusion 4 is valid.

Therefore, the conclusions that logically follow from the given statements are:

- Conclusion 3: Some lions are goats.
- Conclusion 4: Some tigers are goats.

Hence, the correct answer is option C: Only (1), (3), and (4).

Statement 1: All chickens are birds.
Statement 2: Some chickens are hens.
Statement 3: Female birds lay eggs.
If the above statement are facts, then which of the following must also be a fact?
I. All birds lay eggs.
II. Hens are birds.
III. Some chickens are not hens.
  • a)
    II only
  • b)
    II and III only
  • c)
    I, II and III
  • d)
    None of the statement is a known fact
Correct answer is option 'D'. Can you explain this answer?

Dhanraj joshi answered
Analysis:

Statement 1: All chickens are birds.
- This statement establishes the relationship between chickens and birds.

Statement 2: Some chickens are hens.
- This statement implies that there are chickens that are specifically female (hens).

Statement 3: Female birds lay eggs.
- This statement highlights a characteristic of female birds.

Conclusion:
- While the given statements provide information about the relationship between chickens, hens, and birds, they do not provide enough information to conclusively determine the truth of the following statements.

Options:

I. All birds lay eggs.
- This statement cannot be inferred from the given information, as it only mentions female birds laying eggs.

II. Hens are birds.
- This statement can be inferred from the given information, as hens are specified as a type of chicken, and chickens are stated to be birds.

III. Some chickens are not hens.
- This statement cannot be definitively determined from the given information, as it is possible that all chickens mentioned are hens.
Therefore, the correct answer is option 'D' - None of the statements can be confirmed as known facts based on the given information.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements :
Some jims are nests.
Some nests are beams.
All beams are coaches.
Conclusions :
I. Some coaches are nests.
II. Some beams are jims.
III. No beam is a jim.
IV. Some nests are jims.
  • a)
    Only conclusions I and II follow
  • b)
    Only conclusions II and III follow
  • c)
    Both conclusions I and IV and either conclusion II or III follow
  • d)
    Only conclusions II and IV follow
Correct answer is option 'C'. Can you explain this answer?

Understanding the Statements
The statements provided can be analyzed to determine the relationships between the categories mentioned:
- Some jims are nests.
- Some nests are beams.
- All beams are coaches.
Analyzing the Conclusions
Let’s evaluate each conclusion based on the statements:
Conclusion I: Some coaches are nests.
- Since all beams are coaches and some nests are beams, it follows that some nests must also be coaches. Hence, this conclusion is valid.
Conclusion II: Some beams are jims.
- The statement indicates that some jims are nests and some nests are beams. However, it does not confirm that any beams are jims, so this conclusion cannot be confidently stated as valid. Thus, this conclusion is not necessarily true.
Conclusion III: No beam is a jim.
- The statements do not provide enough information to conclude that no beams are jims. Since some jims are nests and some nests are beams, it is possible (but not guaranteed) that some jims could be beams. Therefore, this conclusion is not valid.
Conclusion IV: Some nests are jims.
- Given that some jims are nests, it logically follows that some nests must be jims. Thus, this conclusion is valid.
Final Assessment
Based on the evaluations:
- Valid Conclusions: I and IV
- Not Valid Conclusions: II and III
Thus, the correct answer is option 'C': Both conclusions I and IV and either conclusion II or III follow.

In the following question below are given some statements followed by some conclusions based on those statements. Taking 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 conclusion logically follows the given statements.
Statements:
I. No F is N.
II. All N are L.
Conclusions:
I. All F are L.
II. All N are F.
III. Some L are N.
  • a)
    Only conclusion II follows
  • b)
    Only conclusion III follows
  • c)
    Only conclusion I follows
  • d)
    All conclusion follows
Correct answer is option 'B'. Can you explain this answer?

EduRev CLAT answered
Given Statements:
I. No F is N.
II. All N are L.
The least possible Venn diagram for the given statement is:
Conclusions:
I. All F are L - False (Because, All N are L and no F is N, so those part of N that is L will be definitely not F).
II. All N are F - False (Because, No F is N).
III. Some L are N - True (Because, All N are L so, some L are N is definitely true).
So, Only conclusion III follows.
Hence, the correct answer is "Option 2".

Directions: Each question consists of five statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument, that is, where the third statement is a conclusion drawn from the preceding two statements.
A. All software companies employ knowledge workers.
B. Tara Tech employs knowledge workers.
C. Tara Tech is a software company.
D. Some software companies employ knowledge workers.
E. Tara Tech employs only knowledge workers.
  • a)
    ABC
  • b)
    ACB
  • c)
    CDB
  • d)
    ACE
Correct answer is option 'B'. Can you explain this answer?

Shireen Kapoor answered
Understanding the Statements
To analyze why option 'B' (ACB) is correct, let's break down the statements:
- A: All software companies employ knowledge workers.
- B: Tara Tech employs knowledge workers.
- C: Tara Tech is a software company.
- D: Some software companies employ knowledge workers.
- E: Tara Tech employs only knowledge workers.
Logical Flow of Option B (ACB)
- Premise 1 (A): All software companies employ knowledge workers.
This establishes a general rule about software companies.
- Premise 2 (C): Tara Tech is a software company.
By asserting Tara Tech's identity as a software company, we can apply the general rule from statement A.
- Conclusion (B): Therefore, Tara Tech employs knowledge workers.
This conclusion logically follows from the premises: since Tara Tech is a software company (C), and all software companies employ knowledge workers (A), it must be true that Tara Tech employs knowledge workers (B).
Why Other Options Are Invalid
- Option A (ABC): This concludes that Tara Tech is a software company based on the premise that all software companies employ knowledge workers. This does not logically follow.
- Option C (CDB): The conclusion that some software companies employ knowledge workers is true but does not directly follow from Tara Tech being a software company.
- Option D (ACE): It states that Tara Tech employs only knowledge workers, which cannot be concluded from the given premises.
Conclusion
The correct option is B (ACB) because it follows a clear logical pathway from the premises to the conclusion, making it a valid argument.

Each of the questions below starts with a few statements, followed by four conclusions numbered 1, 2, 3 and 4.  You have to consider every given statement as true, even if it does not conform to the accepted facts.  Read the conclusions carefully and then decide which of the conclusion(s) logically follow(s) from the given statements, disregarding commonly known facts.
Statements:
a. Some boys are scholars
b. Some teachers are boys
c. All scholars are observers
Conclusions:
1. Some scholars are boys
2. Some scholars are not boys
3. Some observers are boys
4. Some teachers are scholars
  • a)
    1, and 3 follow
  • b)
    1, 3, and 4 follow
  • c)
    Either 1 or 2 and 3 follow
  • d)
    None of the above
Correct answer is option 'A'. Can you explain this answer?

Saanvi patil answered
Given Statements:
a. Some boys are scholars
b. Some teachers are boys
c. All scholars are observers

Conclusions:
1. Some scholars are boys
2. Some scholars are not boys
3. Some observers are boys
4. Some teachers are scholars

Explanation:
- From statement a, we know that there are boys who are scholars.
- From statement b, we know that there are teachers who are boys.
- From statement c, we know that all scholars are observers.

Analysis of Conclusions:
1. Some scholars are boys - This conclusion can be drawn from statement a.
2. Some scholars are not boys - This conclusion cannot be logically drawn as there is no information to support this.
3. Some observers are boys - This conclusion can be drawn from statements a and c.
4. Some teachers are scholars - This conclusion cannot be drawn as there is no direct link between teachers and scholars in the given statements.
Therefore, conclusions 1 and 3 follow logically from the given statements. Hence, the correct answer is option 'a) 1 and 3 follow'.

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

Directions to Solve
In each of the following questions two statements are given. Which are followed by four conclusions (1), (2), (3) and (4). Choose the conclusions which logically follow from the given statements.
Question -
Statements: All the research scholars are psychologists. Some psychologists are scientists.
Conclusions:
  1. All the research scholars are scientists.
  2. Some research scholars are scientists.
  3. Some scientists are psychologists.
  4. Some psychologists are research scholars.
  • a)
    Only (3) and (4)
  • b)
    None of the four
  • c)
    All the four
  • d)
    Only (3)
  • e)
    Only (2) and (4)
Correct answer is option 'A'. Can you explain this answer?

Amar Iyer answered
Solution:

The given statements are:

Statement 1: All the research scholars are psychologists.
Statement 2: Some psychologists are scientists.

We need to find the conclusions that logically follow from these statements. Let's analyze each conclusion one by one:

Conclusion 1: All the research scholars are scientists.
This conclusion cannot be logically derived from the given statements. Although some psychologists are scientists, it does not necessarily mean that all research scholars are scientists. Therefore, conclusion 1 does not follow.

Conclusion 2: Some research scholars are scientists.
This conclusion also cannot be logically derived from the given statements. While it is true that some psychologists are scientists, it does not guarantee that some research scholars are also scientists. Therefore, conclusion 2 does not follow.

Conclusion 3: Some scientists are psychologists.
This conclusion can be logically derived from the given statements. Statement 2 mentions that "Some psychologists are scientists," which implies that there is an overlapping between the two groups. Therefore, conclusion 3 follows.

Conclusion 4: Some psychologists are research scholars.
This conclusion can also be logically derived from the given statements. Statement 1 mentions that "All the research scholars are psychologists," which implies that there is at least some overlap between psychologists and research scholars. Therefore, conclusion 4 follows.

Based on the above analysis, the conclusions that logically follow from the given statements are:

- Conclusion 3: Some scientists are psychologists.
- Conclusion 4: Some psychologists are research scholars.

Therefore, the correct answer is option A: Only (3) and (4).

Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
All birds are crows.
Some crows are parrots.
No crow is a pigeon.
Conclusions:
I. No parrot is a pigeon.
II. Some birds are parrots.
  • a)
    Only conclusion I follows
  • b)
    Only conclusion II follows
  • c)
    Neither conclusion I nor II follows
  • d)
    Both conclusions I and II follow
Correct answer is option 'C'. Can you explain this answer?

EduRev CLAT answered
Given Statements:
All birds are crows.
Some crows are parrots.
No crow is a pigeon.
The least possible Venn diagram for the given statement is:
Conclusions:
I. No parrot is a pigeon - False (Because, No definite relation given between parrot and pigeon, so it can be possibly only).
II. Some birds are parrots - False (Because, No definite relation given between birds and parrots, so it can be possibly only).
So, Neither conclusion I nor II follows.
Hence, the correct answer is "Option 3".

Directions: Each question consists of five statements followed by options consisting of three statements put together in a specific order. Choose the option which indicates a valid argument, that is, where the third statement is a conclusion drawn from the preceding two statements.
A. Traffic congestion increases carbon monoxide in the environment.
B. Increase in carbon monoxide is hazardous to health.
C. Traffic congestion is hazardous to health.
D. Some traffic congestion does not cause increased carbon monoxide.
E. Some traffic congestion is not hazardous to health.
  • a)
    CBA
  • b)
    BDE
  • c)
    CDE
  • d)
    BAC
Correct answer is option 'D'. Can you explain this answer?

Anushka joshi answered
Understanding the Argument Structure
To determine the valid argument from the given statements, we need to analyze how the statements link together logically.
Statements Breakdown
- A: Traffic congestion increases carbon monoxide in the environment.
- B: Increase in carbon monoxide is hazardous to health.
- C: Traffic congestion is hazardous to health.
- D: Some traffic congestion does not cause increased carbon monoxide.
- E: Some traffic congestion is not hazardous to health.
Identifying Valid Arguments
We need to find a set of three statements where the third statement logically follows from the first two.
Option D: BDE
- B: Increase in carbon monoxide is hazardous to health.
- D: Some traffic congestion does not cause increased carbon monoxide.
- E: Some traffic congestion is not hazardous to health.
Logical Flow
1. Premise 1 (B): It is established that an increase in carbon monoxide is harmful to health.
2. Premise 2 (D): Some traffic congestion does not result in increased carbon monoxide levels.
3. Conclusion (E): From these premises, we can conclude that some traffic congestion is not hazardous to health since it doesn’t contribute to increased carbon monoxide, which is what poses the health risk.
Why Other Options Fail
- Options A (CBA) and C (CDE) do not establish a logical connection between the statements.
- Option B (BDE) seems valid but does not lead to a direct conclusion regarding traffic congestion and health.
Conclusion
Thus, option D (BDE) provides a coherent argument structure where the conclusion logically stems from the premises.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements: 
I. Some X are M.
II. All W are X.
Conclusions:
I. Some M are not W.
II. No W is M.
III. Some M are not X.
  • a)
    None of the conclusions follow
  • b)
    Only conclusion III follows
  • c)
    Only conclusions II and III follow
  • d)
    All the conclusions follow
Correct answer is option 'A'. Can you explain this answer?

Alok Mehra answered
Understanding the Statements
The statements provided are:
- I. Some X are M.
- II. All W are X.
From these statements, we can analyze the relationships between the groups X, M, and W.
Analyzing the Conclusions
1. Conclusion I: Some M are not W.
- Based on statement II, all W are included in X. However, since only some X are M, it is not guaranteed that any M is W. Thus, it is possible that some M are indeed not W, but we cannot definitively conclude it from the given statements.
2. Conclusion II: No W is M.
- This conclusion suggests that there is no overlap between W and M. However, since some X are M and all W are X, it is possible for some W to also be M. Therefore, we cannot conclude that no W is M.
3. Conclusion III: Some M are not X.
- Since some X are M, it is not possible to conclude that some M are not X. In fact, all M could potentially be included in X. Thus, this conclusion does not logically follow.
Final Evaluation of Conclusions
- All conclusions I, II, and III do not logically follow from the statements provided. Hence, the correct option is:
Answer: a) None of the conclusions follow
This analysis illustrates that although some conclusions may seem plausible, they do not necessarily follow from the relationships defined in the statements.

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some jugs are bottles.
No bottle is a candy.
All spoons are bottles.
Conclusions:
I. Some jugs are spoons.
Il. No spoon is a candy.
Ill. No jug is a spoon.
IV. No jug is a candy.
  • a)
    Either Conclusion I or Ill and II follow.
  • b)
    Only Conclusions Il and III follow.
  • c)
    Only Conclusions I, Il and IV follow.
  • d)
    Either Conclusion I or IV and II follow.
Correct answer is option 'A'. Can you explain this answer?

Statements:
- Some jugs are bottles.
- No bottle is a candy.
- All spoons are bottles.

Conclusions:
I. Some jugs are spoons.
II. No spoon is a candy.
III. No jug is a spoon.
IV. No jug is a candy.

Explanation:
- From the given statements, we know that some jugs are bottles and all spoons are bottles. Therefore, some jugs are spoons (Conclusion I) as there is an overlap between jugs and spoons through the common category of bottles.
- It is given that no bottle is a candy, and since all spoons are bottles, it follows that no spoon is a candy (Conclusion II).
- Since all spoons are bottles and some jugs are bottles, there is a possibility that some jugs are spoons. Therefore, it is not necessarily true that no jug is a spoon (Conclusion III does not necessarily follow).
- There is no direct relationship established between jugs and candies in the given statements, so it cannot be definitively concluded that no jug is a candy (Conclusion IV does not necessarily follow).
Therefore, the correct answer is option 'a) Either Conclusion I or III and II follow.'

Directions to Solve
In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two 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 two given statements, disregarding commonly known facts.
Give answer:
  • (A) If only (1) conclusion follows
  • (B) If sonly (2) conclusion follows
  • (C) If either (1) or (2) follows
  • (D) If neither (1) nor (2) follows and
  • (E) If both (1) and (2) follow.
Question -
Statements: All buildings are chalks. No chalk is toffee.
Conclusions:
  1. No building is toffee
  2. All chalks are buildings.
  • a)
    Only (1) conclusion follows
  • b)
    Only (2) conclusion follows
  • c)
    Either (1) or (2) follows
  • d)
    Neither (1) nor (2) follows
  • e)
    Both (1) and (2) follow
Correct answer is option 'A'. Can you explain this answer?

Debanshi Saha answered
Correct option is. Only (1) conclusion follows
Explanation: From the first statement "All buildings are chalks," we can infer that whatever is true for all chalks will also be true for all buildings. The second statement "No chalk is toffee" implies that there is no overlap between chalks and toffees.
Conclusion 1: "No building is toffee" logically follows because if no chalk is toffee and all buildings are chalks, then buildings cannot be toffees either.
Conclusion 2: "All chalks are buildings" does not logically follow. The first statement does not imply that all chalks must be buildings, only that all buildings are chalks. There could be chalks that are not buildings.

Directions to Solve
In each of the following questions two statements are given and these statements are followed by two conclusions numbered (1) and (2). You have to take the given two 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 two given statements, disregarding commonly known facts.
Give answer:
  • (A) If only (1) conclusion follows
  • (B) If sonly (2) conclusion follows
  • (C) If either (1) or (2) follows
  • (D) If neither (1) nor (2) follows and
  • (E) If both (1) and (2) follow.
Question -
Statements: All the pencils are pens. All the pens are inks.
Conclusions:
  1. All the pencils are inks.
  2. Some inks are pencils.
  • a)
    Only (1) conclusion follows
  • b)
    Only (2) conclusion follows
  • c)
    Either (1) or (2) follows
  • d)
    Neither (1) nor (2) follows
  • e)
    Both (1) and (2) follow
Correct answer is option 'E'. Can you explain this answer?

Debanshi Saha answered
Statements:
  1. All the pencils are pens.
  2. All the pens are inks.
Conclusions:
  1. All the pencils are inks.
  2. Some inks are pencils.
From statement 1, if all pencils are pens, and from statement 2, if all pens are inks, then it must be true that all pencils are inks because they are a subset of pens which are a subset of inks. Therefore, conclusion 1 logically follows.
Conclusion 2 is also true because if all pencils are inks (from conclusion 1), then it's logically correct to say that some inks are pencils (as 'some' can refer to any portion, including the whole set).
Therefore, both conclusions logically follow from the given statements.
The correct answer is: Both (1) and (2) follow.

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