Test: Syllogism - 3 - CUET Commerce MCQ

Answer: Option D

The statements i, ii and iii can be represented as shown above

From the figure, Set of iphones do not intersect with the set of ipads and the set of tablets, and the set of mobiles do not intersect with the set of tablets.

Consider the conclusions,

From the figure, first three conclusions are not true. In this set, the fourth conclusion cannot be concluded.

Hence, option (d).

Statements I and II can be represented as venn diagrams in the following ways:

1. All birds lay eggs → False (Only Female birds lay eggs is given in the statement)

2. Some hens are birds → True (Some hens are chickens and all chickens are birds so, some hens are birds is definitely true)

3. Some chickens are not hens → False (Not condition is not given in the statement so, It is possible but not definite)

Hence, 'II Only' is the correct answer.

Answer: Option D

1. Some consultants are teachers

   • Analysis: Since all teachers are professors, all professors are researchers, and all researchers are consultants, it means every teacher is also a consultant. Assuming there is at least one teacher, it follows that some consultants are indeed teachers.
   • Conclusion: Valid

2. All professors are consultants

   • Analysis: From the hierarchy, all professors are researchers, and all researchers are consultants. Therefore, it directly follows that all professors are consultants.
   • Conclusion: Valid

3. Some researchers are teachers

   • Analysis: Given that all teachers are professors and all professors are researchers, all teachers are also researchers. Assuming there are teachers, it implies that some researchers are teachers.
   • Conclusion: Valid

4. All professors are teachers

   • Analysis: The statement "All teachers are professors" does not mean that all professors are teachers. There could be professors who are not teachers.
   • Conclusion: Invalid

Summary:

• Valid Conclusions: 1, 2, and 3
• Invalid Conclusion: 4

Final Assessment:

• Conclusions 1, 2, and 3 follow logically from the statements.

1. Some scholars are boys:

   • From statement (a), we know that some boys are scholars. This means there is an overlap between boys and scholars.
   • Therefore, this conclusion logically follows.

2. Some scholars are not boys:

   • Statement (a) says some boys are scholars, but it does not provide information about scholars who are not boys.
   • This conclusion cannot be directly inferred from the statements provided.

3. Some observers are boys:

   • From statement (c), all scholars are observers. Since some boys are scholars (statement a), those boys who are scholars are also observers.
   • Therefore, some observers are boys. This conclusion logically follows.

4. Some teachers are scholars:

   • From statement (b), some teachers are boys. From statement (a), some boys are scholars.
   • There is no direct connection between teachers and scholars from the given statements. Therefore, this conclusion does not logically follow from the given information.

Therefore, the correct answer is: 1, and 3 follow

Answer: Option C

Since all storybooks have pictures and some storybooks have words, so some storybooks definitely have both words and pictures.

The other two conclusions cannot be derived from the statements.

Hence, option (c).

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.

Upon examining the statements and conclusions provided, it is clear that the conclusion "(1) Some bats are locks" logically follows from the given statements because if all locks are keys and all keys are bats, then some bats must indeed be locks.

Conclusion "(2) Some watches are keys" does not follow because there is no direct link between watches and keys in the statements.

Conclusion "(3) All the keys are locks" is incorrect because it contradicts the given statement that "All locks are keys."

Therefore, the correct conclusion is indeed "(1) Some bats are locks," making the correct option "Only (1)."