Syllogisms — Part 1 MCQs with Explanations

From the following Statement we have these diagram: From above diagram, we can have a conclusion that only I conclusions follows.

From the following Statement we have these diagram: Only II conclusion follows.

From the following Statement we have these diagram: Both I and II follows.

From the following Statement we have these diagram: None of the two follows.

From the following Statement we have these diagram: Only II follows.

From the following Statement we have these diagram: Both I and II follows.

From the following Statement we have these diagram: Neither I or II follows.

From the following Statement we have these diagram: Both I and II follows.

From the following Statement we have these diagram: Neither I or II follows.

From the following Statement we have these diagram: Only II follows.

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.

either conclusion I or II & III follow.

Only (I) conclusion follows is the correct answer to “Statements : Some actors are singers. All the singers are dancers. Conclusions : I. Some actors are dancers. II. No singer is actor.”. This question is standard in competitive examination syllabi for Syllogisms.

Only (II) conclusion follows is the correct answer to “Statements : All the harmoniums are instruments. All the instruments are flutes. Conclusions : I. All the flutes are instruments. II. All the harmoniums are flutes.”. This question is standard in competitive examination syllabi for Syllogisms.

Neither (I) nor (II) follows is the correct answer to “Statements : Some mangoes are yellow. Some tixo are mangoes. Conclusions : I. Some mangoes are green. II. Tixo is a yellow.”. This question is standard in competitive examination syllabi for Syllogisms.

Only (II) conclusion follows is the correct answer to “Statements : Some ants are parrots. All the parrots are apples. Conclusions : I. All the apples are parrots. II. Some ants are apples.”. This question is standard in competitive examination syllabi for Syllogisms.

Both (I) and (II) follow is the correct answer to “Statements : Some papers are pens. All the pencils are pens. Conclusions : I. Some pens are pencils. II. Some pens are papers.”. This question is standard in competitive examination syllabi for Syllogisms.

Both (I) and (II) follow is the correct answer to “Statements : All the actors are girls. All the girls are beautiful. Conclusions : I. All the actors are beautiful. II. Some girls are actors.”. This question is standard in competitive examination syllabi for Syllogisms.

Only (II) conclusion follows is the correct answer to “Statements : All the windows are doors. No door is a wall. Conclusions : I. Some windows are walls. II. No wall is a door.”. This question is standard in competitive examination syllabi for Syllogisms.

Only (II) conclusion follows is the correct answer to “Statements : All cups are books. All books are shirts. Conclusions : I. Some cups are not shirts. II. Some shirts are cups.”. This question is standard in competitive examination syllabi for Syllogisms.

Neither (I) nor (II) follows is the correct answer to “Statements : Some cows are crows. Some crows are elephants. Conclusions : I. Some cows are elephants. II. All crows are elephants.”. This question is standard in competitive examination syllabi for Syllogisms.

Both (I) and (II) follow is the correct answer to “Statements : All the pencils are pens. All the pens are inks. Conclusions : I. All the pencils are inks. II. Some inks are pencils.”. This question is standard in competitive examination syllabi for Syllogisms.

Neither (I) nor (II) follows is the correct answer to “Statements : Some dogs are bats. Some bats are cats. Conclusions : I. Some dogs are cats. II. Some cats are dogs.”. This question is standard in competitive examination syllabi for Syllogisms.

Neither (I) nor (II) follows is the correct answer to “Statements : All the trucks are flies. Some scooters are flies. Conclusions : I. All the trucks are scooters. II. Some scooters are trucks.”. This question is standard in competitive examination syllabi for Syllogisms.

Only (I) conclusion follows is the correct answer to “Statements : All buildings are chalks. No chalk is toffee. Conclusions : I. No building is toffee II. All chalks are buildings.”. This question is standard in competitive examination syllabi for Syllogisms.

Neither (I) nor (II) follows is the correct answer to “Statements : All cars are cats. All fans are cats. Conclusions : I. All cars are fans. II. Some fans are cars.”. This question is standard in competitive examination syllabi for Syllogisms.

Only (III) is the correct answer to “Statements : No door is dog. All the dogs are cats. Conclusions : I. No door is cat. II. No cat is door. III. Some cats are dogs. IV. All the cats are dogs.”. This question is standard in competitive examination syllabi for Syllogisms.

Only (I) and (II) is the correct answer to “Statements : All green are blue. All blue are white. Conclusions : I. Some blue are green. II. Some white are green. III. Some green are not white. IV. All white are blue.”. This question is standard in competitive examination syllabi for Syllogisms.

Only (III) is the correct answer to “Statements : All men are vertebrates. Some mammals are vertebrates. Conclusions : I. All men are mammals. II. All mammals are men. III. Some vertebrates are mammals. IV. All vertebrates are men.”. This question is standard in competitive examination syllabi for Syllogisms.

Only (II) and (IV) is the correct answer to “Statements : All the phones are scales. All the scales are calculators. Conclusions : I. All the calculators are scales. II. All the phones are calculators III. All the scales are phones. IV. Some calculators are phones.”. This question is standard in competitive examination syllabi for Syllogisms.

None of the four. is the correct answer to “Statements : Some tables are T.V. Some T.V. are radios. Conclusions : I. Some tables are radios. II. Some radios are tables. III. All the radios are T.V. IV. All the T.V. are tables.”. This question is standard in competitive examination syllabi for Syllogisms.