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All questions of Syllogism (Old Scheme) for CA Foundation Exam

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?

Samaira nayar answered
Analysis:
All teachers are professors, all professors are researchers, and all researchers are consultants. We have to determine which conclusions logically follow from these given statements.

Conclusions:

1. Some consultants are teachers
This conclusion can be logically derived from the given statements. Since all teachers are professors, and all professors are researchers, which in turn are consultants, it is possible that some consultants are also teachers.

2. All professors are consultants
This conclusion cannot be logically derived from the given statements. While all professors are indeed researchers and consultants, it does not necessarily mean that all professors are consultants. The statements do not provide a direct link between professors and consultants.

3. Some researchers are teachers
This conclusion can be logically derived from the given statements. Since all professors are researchers, and all teachers are professors, it is possible that some researchers are also teachers.

4. All professors are teachers
This conclusion cannot be logically derived from the given statements. Although all teachers are professors, it does not mean that all professors are teachers. The statements only establish a one-way relationship between teachers and professors, not vice versa.
Therefore, only conclusions 1 and 3 logically follow from the given 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:
All tigers are lions.
All lions are animals.
Conclusions:
Ⅰ. All tigers are animals.
Ⅱ. No tigers is a bird. 
  • a)
    Only conclusion II follows
  • b)
    Both the conclusions follow
  • c)
    Either conclusion I or II follows
  • d)
    Only conclusion I follows
Correct answer is option 'D'. Can you explain this answer?

Saikat Patel answered
Understanding the Statements
The statements provided are:
- All tigers are lions.
- All lions are animals.
These statements can be visually represented in a logical diagram, showing the relationship between tigers, lions, and animals.

Analyzing Conclusion I
- **Conclusion I**: All tigers are animals.
- Since all tigers are categorized as lions and all lions are classified as animals, it logically follows that all tigers must also be animals. The relationship is direct and confirms conclusion I.

Analyzing Conclusion II
- **Conclusion II**: No tigers are birds.
- While this conclusion might seem intuitive, it is not directly supported by the information given in the statements. The statements only outline relationships within the categories of tigers, lions, and animals, without providing any information about their relationship to birds. Therefore, we cannot definitively conclude that no tigers are birds.

Final Assessment
- Based on the analysis:
- **Conclusion I** is valid and logically follows from the statements.
- **Conclusion II** does not logically follow from the statements provided.
Therefore, the correct answer is:

Only conclusion I follows (Option D).

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. 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".

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'.

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?

EduRev CLAT answered
ACB is the correct answer choice, as it forms a valid syllogism.
CEKW = Companies that employ knowledge workers
SC = Software companies
TT = Tara Tech
The premises state that all software companies employ knowledge workers and Tara Tech is a software company. Therefore, Tara Tech employs knowledge workers.
(a) ABC is invalid because if Tara Tech employs knowledge workers, it cannot definitely be concluded that it is a software company.
(b) CDB is invalid because if only some software companies employ knowledge workers, Tara Tech may not be among them.
(c) ACE introduces a fourth term, 'Companies that employ only knowledge workers,' and therefore violates the very definition of a syllogism, which must have 3 and only 3 terms.

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).

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

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.

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.

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?

Hemant menon answered
Understanding the Statements
The given statements are:
- **All birds are crows.**
- **Some crows are parrots.**
- **No crow is a pigeon.**

Analyzing Conclusion I: No parrot is a pigeon
- From the statements, we know that:
- All birds being crows means that any bird is a type of crow.
- Some crows being parrots indicates that at least a few crows are indeed parrots.
- No crow being a pigeon establishes a clear separation between crows and pigeons.
- However, since some crows are parrots, it does not logically follow that parrots cannot be pigeons because the statements only clarify the relationship between crows and pigeons, not specifically between parrots and pigeons.

Conclusion I Result
- **Conclusion I does not necessarily follow.**

Analyzing Conclusion II: Some birds are parrots
- The assertion that all birds are crows leads us to conclude that if some crows are parrots, then it implies that those specific parrots are also birds.
- This means that it is valid to deduce that there are indeed some birds that are parrots.

Conclusion II Result
- **Conclusion II logically follows.**

Final Analysis
- Since Conclusion I does not follow but Conclusion II does, the answer is **option C: Neither conclusion I nor II follows.**
- Therefore, the conclusion that can be drawn is that while some birds can be parrots, the relationship between parrots and pigeons remains uncertain based on the given statements.

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?

BAC is the correct option choice
TC = Instances of traffic congestion
ICM = Instances of increase in carbon monoxide in the environment
HH = Instances that are hazardous to health.
The premises state that increase in carbon monoxide is hazardous to health and traffic congestion increases carbon monoxide in the environment. Therefore, traffic congestion is hazardous to health.
(a) CBA is invalid, because if TC and ICM are both separately hazardous to health (HH), no definite relationship between TC and ICM necessarily follows.
(b) BDE is invalid, because the some TC that are not ICM need not necessarily be free of any hazard to health (HH); they could possibly pollute the environment with other noxious gases.
The shaded portion shows those some TC that are not ICM, but could possibly be hazardous to health (HH).
(c) CDE is invalid, because the conclusion E is a negation of one of the premises C. Another check reveals the TC is the middle term, which appears in both the premises C and D, and E, therefore, should not appear in the conclusion E, as per the basic definition of a syllogism.

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.

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.

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 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.

The statement below is followed by three outcomes numbered I, II and II. An outcome is either a step of administrative decision to be undertaken for improvement, or a follow-up for further action, or natural response by stakeholders, etc. on the basis of the information provided in the statement. Everything mentioned in the statement is to be assumed to be true, on the basis of which the most logically followed course of action has to be decided.
Statement:
The city council of Brownwood City has decided to install a plant of mineral water to provide the citizens mineral water bottles at US $ 1 per bottle as against bottles costing US $ 1.5 being sold by local private players.
I. All the local private companies selling bottled water in Brownwood City will have to close their operations.
II. The city council of Brownwood City will have to provide for the losses from this project in its budget.
III. The normal tap water supply of Brownwood City will have no takers and that will have to be discontinued.
  • a)
    None of I, II or III
  • b)
    Only II
  • c)
    Both II and III
  • d)
    All I, II and III
Correct answer is option 'A'. Can you explain this answer?

Answer: Option A
Outcome I does not follow; just because mineral water will be sold at a cheaper rate by the city council, this does not mean that all private companies selling bottled mineral water will close down altogether.
Outcome II does not follow; since their increased sales will probably more than make up for any losses incurred due to lower prices.
Outcome III does not follow; it is ludicrous to assume that people will be willing to do away with normal tap water just because mineral water is being sold at a somewhat reasonable rate.
Hence, the correct answer is option 1.

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