Syllogisms - General Inteligence & Reasoning MCQ Questions and Answers

Okay, let's break down this syllogism question!

First, let's understand what a syllogism is. It's like a logical puzzle where we have some statements that we assume are true, and then we have to figure out if the conclusions are also true based on those statements.

Our statements are:
* Some raises are promotions.
* All promotions are hikes.
* All hikes are advances.

Now let's look at the conclusions one by one:

Conclusion I: Some hikes are raises.
Think of it like this: If "All promotions are hikes," and "Some raises are promotions," then it means some of those raises *must* also be hikes. Imagine drawing circles. If the 'raises' circle slightly overlaps the 'promotions' circle, and the 'promotions' circle is completely inside the 'hikes' circle, then part of the 'raises' circle must also be inside the 'hikes' circle. So, this conclusion is TRUE.

Conclusion II: Some advances are not promotion.
This one is a bit trickier. We know "All hikes are advances" and "All promotions are hikes" so all promotions are advances. this means the entire 'promotion' circle is inside the 'advances' circle. So, is it possible that *some* advances are NOT promotions?. Let's use the circle method again we can say that some of the advances are not promotions because hikes may contain others things except the promotions so this conclusion is TRUE

So, Conclusion I is TRUE, and Conclusion II is also TRUE.

Therefore, the correct answer is:
Option E: Both I and II follows

conclusion II follows.

conclusion I follows.

conclusion II follows.

Given statements: All the ties are shirts. Some pants are shirts.

Now, analyzing the conclusions: I. Some ties are pants. → This is not necessarily true as there is no direct relation between ties and pants.

II. No tie is a pant. → This is also not necessarily true because there is no information given that explicitly denies a relationship between ties and pants.

Since one conclusion states "Some ties are pants" and the other states "No tie is a pant," they form a complementary pair. In syllogisms, if one must be true, the other must be false, which satisfies the condition for the "either-or" case.

Thus, the correct answer is Option C: If either conclusion (I) or (II) follows.

conclusion I follows.

In the given statements:
Statements :
No mat is fan.
Some fans are cars.
All cars are shirts.
Conclusions :
I. All mats are cars. - False. There is no direct relationship established between mats and cars in the statements. Hence, conclusion I does not follow.
II. All shirts are cars. - True. Since all cars are shirts, this conclusion follows from the given statements.
III. Some shirts are fans. - False. There is no direct relationship established between shirts and fans in the statements. Hence, conclusion III does not follow.
IV. No shirt is a mat. - True. Since no mat is a fan and some fans are cars, which are shirts, it implies that no shirt is a mat. Therefore, conclusion IV follows.
Hence, the correct answer is Option C: Only IV follow.

Correct Answer: Option D: Only either I or II follows

Step 1: Understanding the Statements
Some clips are copies. → There is some overlap between clips and copies.
Some copies are magazines. → Some copies also belong to the category of magazines.
No magazine is a dictionary. → This means magazines and dictionaries have no overlap at all.

Step 2: Evaluating the Conclusions
Conclusion I: "No copies are dictionary."
We know some copies are magazines, and magazines are not dictionaries.
But we cannot conclude that all copies are not dictionaries.
Not necessarily true.

Conclusion II: "Some copies are dictionary."
There is no evidence in the statements that confirm some copies are dictionaries.
Not necessarily true.

Conclusion III: "Some copies are not dictionary."
This would be true only if we were certain that some copies belong to magazines.
However, it is not a universal truth for all cases, and it contradicts Conclusion II.
Does not logically follow.

Conclusion IV: "No clips are magazines."
There is no statement that says clips and magazines are separate categories.
Does not follow.

Step 3: Applying the Either-Or Rule
Conclusion I ("No copies are dictionary") and Conclusion II ("Some copies are dictionary") are complementary statements.
In a syllogism, when two complementary statements exist, one must be true, but we cannot determine which one from the given statements.
This satisfies the "either-or" rule.

Final Answer:
Since either Conclusion I or Conclusion II follows, the correct option is:
Option D: Only either I or II follows.

Understanding the Statements:
The question gives us three statements about headphones, earphones, telephones, and televisions. Let's break them down:
Statement 1: Some headphones are earphones. This means there's an overlap between headphones and earphones; some headphones belong to the group of earphones, but not all.
Statement 2: All earphones are telephones. This means every single earphone is also a telephone.
Statement 3: No telephones are televisions. This means there is absolutely no overlap between telephones and televisions. They are completely separate.

Analyzing the Conclusions:
Now let's look at the conclusions and see if they logically follow from the statements above.
Conclusion I: No earphones are televisions. This is TRUE. Since all earphones are telephones (Statement 2), and no telephones are televisions (Statement 3), then it follows that no earphones can be televisions.
Conclusion II: Some headphones are not televisions. This is TRUE. We know some headphones are earphones (Statement 1), and no earphones are televisions (Conclusion I), so it's certain that at least some headphones are not televisions.
Conclusion III: Some headphones are telephones. This is TRUE. Some headphones are earphones (Statement 1), and all earphones are telephones (Statement 2). Therefore, some headphones must also be telephones.
Conclusion IV: Some telephones are not televisions. This is TRUE. Statement 3 directly tells us that no telephones are televisions, which means all telephones are *not* televisions.

Finding the Correct Answer:
Since Conclusions I, II, III, and IV are all true based on the given statements, the correct option is A: All follow.

None follows.