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CAT 2025 » CAT Study Material » Data Interpretation and Logical Reasoning » Analysing Syllogism Categories
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Analysing Syllogism Categories

In this article, we will learn about the syllogism, types of syllogism, tips and tricks to solve syllogism questions and some solved examples.

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Inference or deduction are the meanings conveyed by the “Greek” word syllogism. As a result of the fact that such inferences are founded on logic, there are inferences that are referred to as logical deductions. The propositions or premises serve as the foundation for these deductions. This chapter covers a variety of question kinds, including those with two, three, or even four statements, as well as those with several conclusions.

As a result of the fact that many types of questions based on logical reasoning and syllogisms are being posed in various government examinations, these subsections of the verbal reasoning part have become the most important of their kind. 

Syllogism

A fundamental component of logical reasoning, in particular analytical reasoning, is the syllogism. Candidates are required to draw inferences from the assertions that are provided to them in this section, which comprises certain statements. Despite the fact that the premises and conclusions may appear to be inconsistent with one another, applicants are required to approach issues concerning syllogism by assuming that the assertions presented are accurate in every respect.

A candidate’s basic aptitude and ability to draw inferences from provided statements utilising methodical approaches to problem solving are evaluated through the use of syllogism as part of the selection process. 

Types of syllogism 

Due to the fact that we are now aware of the structure of the questions that are associated with the syllogism reasoning segment. Let’s have a look at the many different kinds of queries that could appear one after the other down below. 

Basic Syllogism

In order for this kind of syllogistic reasoning to be valid, the conclusions have to be absolutely correct. We shall accept as false conclusions that have a probability of 99 percent or above. 

Either-or Case 

In this style of syllogism reasoning, the either-or case will be generated when the conclusions are not true one hundred percent of the time but the two supplied conclusions are true fifty percent of the time each. 

Coded Syllogism 

The statements and the conclusions in this type of syllogistic reasoning are presented in a coded format. Applicants have to decipher the statements and the inferences in order to locate the correct solution. 

Sequential Syllogism 

In this form of syllogistic thinking, the statements are presented first, then the possible solutions follow. Candidates are required to select the group that contains the set in which the third assertion can be derived logically from the first two statements. 

Tips and Tricks to Solve Syllogism

In the passage that follows, candidates will find a variety of hints and strategies that can be used to answer problems that are part of the syllogism reasoning portion.

  1. If a particular conclusion is shown to be incorrect in any one of the conceivable diagrams, then that conclusion is regarded as being incorrect overall.
  2. If all of the claims are true, then any negative conclusions that could possibly be drawn from those statements are untrue, and vice versa.
  3. Both the subject and the predicate are interchangeable when referring to the complimentary pair “Some + No.” 
  4. In the event when two different conclusions share the same subject and predicate, as well as make up a pair that is complimentary, but only one of the conclusions is true, then the situation will not constitute an either-or case. When considering the Either or scenario, “Some + Some” should not be considered a complementary pair.
  5. If a probable conclusion holds true in any one of the various diagrams that could be drawn, then the possibility is taken to have some degree of truth to it.
  6. The phrase “just a few” indicates that both of the conclusions are unquestionably correct.
  7. As a result, the conclusion that some A are B while other A are not B will most certainly be correct.
  8. Both “All + Some not” and “Some + N” are examples of complementary pairs for the Either or case.
  9. Each of the two conclusions should be made up of one of the complimentary pairs described above. Both the subject and the predicate of the two conclusions must be the same, and they are incompatible with one another. Cannot be stated ought should be the response given for both of the conclusions.
  10. When attempting to solve the problems based on syllogism, candidates need to keep the following things in mind at all times. 

Solved Examples

Directions: The next question contains three different assertions, which are then followed by three different conclusions labelled I, II, and III. You have no choice but to accept the validity of the claims that have been presented to you, even if they appear to go against what is generally accepted as fact. 

Statements: 

No panda is a dog.

Some pandas are crow. 

All dogs are animals. 

Conclusion: 

Some dogs are crow.

Some crow are pandas.

Some animals are not pandas. 

Solution: 

  1. Some dog are crow → False (No direct relation given hence, false)
  2. Some crow are panda → True (Some panda are crow hence, some crow are panda is true)
  3. Some animals are not pandas → True (All dogs are animals and No dog is a panda. So those animals which are dog can never be panda hence, true)

Thus, only conclusion II and III follow. 

Conclusion

To be more specific, writers may decide to employ syllogism because: Using a syllogism can help make a logical argument appear undeniable, regardless of whether it is being used to demonstrate a basic point or a complex one. Syllogisms can be used to show both simple and complex points.

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Frequently asked questions

Get answers to the most common queries related to the CAT Examination Preparation.

What is the study of syllogism?

Ans. The syllogism is constructed by employing two premises and the conclusion that logically follows from those pre...Read full

What is the effect of syllogism?

Ans. Research into the use of syllogistic reasoning has shown that people have an illogical tendency to support more...Read full

Statements: Some roads are highways. Some highways are seaways. Some seaways are airways. Conclusions: i)Some airways are roads. ii)Some seaways are roads. iii)Some airways are highways. iv)Some roads are airways.

Only III and IV follow ...Read full

Statements: All boots are sandals. No sandals are shoes. All shoes are rings. Conclusions: i)Some boots are rings. ii)All sandals are boots. iii)Some rings are sandals. iv)All rings are shoes.

Either I or II follow ...Read full

Statements: Some Q are E. All E are D. No D is A. Conclusions: i)Some Q are not A. ii)Some Q are not D. iii)All Q are D. iv)No Q is A.

Only III follows Eith...Read full

Ans. The syllogism is constructed by employing two premises and the conclusion that logically follows from those premises. The conclusion must be detailed, and it is not allowed to be broader in scope than either of the premises. If the premises are correct, then the conclusion must also be accurate as a logical consequence. The ancient Greeks were the first people to study logic and reason. 

Ans. Research into the use of syllogistic reasoning has shown that people have an illogical tendency to support more believable conclusions than unbelievable ones. [Citation needed] The influence of this belief bias is more pronounced on flawed syllogisms than it is on valid ones, which gives birth to a logic by belief interaction. 

Directions (Q3-Q5): Considering given statements as true, select a logical conclusion based on the given statements. 

    1. Only III and IV follow
    2. Only III and IV follow
    3. Only I and II follow
    4. All of conclusions follow
    5. None of the above follow 

Ans. E. None of the above follow

Explanation:

For a conclusion to be true, it has to be true in every possible Venn diagram.

From the given Venn diagram, we can say that none of the above conclusions always follows. 

    1. Either I or II follow
    2. Either III or IV follow
    3. Only II and IV follow
    4. Neither I nor II follow
    5. All of the above follow 

Ans. D. Neither I nor II follow

Explanation:

For a conclusion to be true, it has to be true in every possible Venn diagram. Here one of the possible diagrams is given, in which, no conclusion follows. So the only correct option is d. 

    1. Only III follows
    2. Either I or IV follow
    3. Either II or III follow and I follows
    4. Only IV follows
    5. All of the above follow 

Ans. C. Either II or III follow and I follows

Explanation:

For a conclusion to be true, it has to be true in every possible Venn diagram.

From given Venn diagrams, we can say that conclusion I always follow.

Also, drawing all possible Venn diagrams show that satisfying conditions in given statements, either conclusion II or III will be true. Both cannot be true simultaneously. It is either one of the two. 

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