# Introduction to Syllogism

There are two main types of Syllogism question

 2-Statements 3-Statements Question Statement: I. All cats are dogs II. All dogs are birdsConclusion: I. Some cats are birds II. Some birds are cats. Question Statement A. All cats are dogs B. some pigs are cats C. no dogs are birdsConclusion I. some cats are dogs II. no birds are cats III. some pigs are birds IV. some pigs are not birds
• 2 Statement Syllogism questions are usually found in IBPS (Bank) and SSC exams.
• UPSC CSAT 2012 exam had quite a few questions on 3 Statement Syllogism.
• In CAT exams, they ask 2 Statement Syllogism but they pack 3-4 such “2-statement” syllogism questions inside one question to make it very time-consuming process.
• In this article, you will learn how to solve the 2 Statement syllogism questions.
• 3 Statement syllogism syllogism is explained in separate article (CLICK ME). (They’re mere an extension of the concepts explained in this article, so first master the 2-statement technique here.)

There are three methods to solve 2-statement Syllogism questions.

 Venn Diagram In the exam, Have to think of all possible “Venn-Diagram” situation and draw them to check every statement.= time consuming in the exam hall. AEIO (analytical Method) Have to mugup some rules, and spend some hours @home to master the “AEIO” conversion in your head. But once done, it is easy as a walk in the park. Distribution of terms (Tick method) Usually taught in CAT coaching classes and study material. Technique is very fast but It excludes the concept of “Conversion” and “Complementary cases”, hence sometimes makes it difficult to solve non-CAT questions.

The technique explained in this article, is a modified version of AEIO method combined with the Tick Method. Let’s call it U.P.U.N. method.

# Subject vs Predicate

Consider this question statement
1. All cats are dogs
2. Some dogs are birds
3. No bird is a pig
4. Some pigs are not birds.
In all such statements, first-term is called subject and second is called predicate.
It doesn’t matter what word is given: Table, Chair, Raja, Kalmadi, Kanimozhi or Madhu Koda – first term is subject and second term is predicate.
Let’s relook at those question statements

 Subject Predicate 1. All cats are dogs Cats Dogs 2. Some dogs are birds Dogs Birds 3. No bird is a pig Bird Pig 4. Some pigs are not birds. Pigs Birds

I hope the Subject vs. Predicate is clear now. Let’s move to second thing

# Classification of statement

In syllogism, each statement usually has following format
“xyz subject is/are (not) predicate.”

For example,

 Xyz Subject Is/are (+/-not) Predicate All Cats Are Dogs Some Pigs Are not birds

Based on “xyz” and “not”, we classify the statements as following

 Statement Type Codename 1. All cats are dogs Universal Positive UP 2. Some dogs are birds Particular Positive PP 3. No bird is a pig Universal Negative UN 4. Some pigs are not birds. Particular Negative PN

Please remember following words. Whenever they come, you classify the statement accordingly.

 All, every, any, none, not a single, only etc. Universal (positive or negative) Some, many, a few, quite a few, not many, very little, most of, almost, generally, often, freqently, etc. Particular (positive or negative)

# Standard format: conversion

The standard 2-statement syllogism question format is following:
1. (xyz) “A” is/are (+/- not) “B”
2. (xyz) “B” is/are (+/- not) “C”
So basically it is
1. A—>B
2. B—>C
(read as “A to B then B to C”)
What does this tell us?
Question statements must have ONLY three terms. (A, B and C).
In the exam, if they give you two question statements with four terms then your time is saved! Just tick the answer “no conclusion can be drawn”.
For example

 Question statements Answer 1. All cats are Dogs 2. Some birds are pigs No conclusion can be drawn. Because it has four terms (cats, dogs, birds, pigs) A–>B C–>D

Anyways back to the topic,
The standard format for question statements is:

 1. A—>B 2. B—>C 1. First term—>Middle Term 2. Middle Term—>Third term

But if the given question statements are not given in this format, then we must convert them into above format. Otherwise we cannot proceed with answer. For example

 Given question statements are 1. A—>B 2. C—>B This must be converted into 1. A—>B 2. B—>C Given question statements are 1. B—>A 2. B—>C This must be converted into 1. A—>B 2. B—>C

Ok, so how to convert the statements?

## Universal Positive (UP)

 Given Statement Valid conversions Type Given Statement: All Cats are Dogs Some Cats are dogs Particular Positive (PP) Some dogs are cats Particular Positive (PP)

It means UP can be converted into PP.
Please note: if the statement is “Only Dogs are cats”, then better convert it into “All cats are dogs”. (Only A is B –> All B are A)

## Universal Negative (UN)

 Given Statement Valid conversions Type Given Statement: No Cats are Dogs Some dogs are not cats Particular Negative (PN) No dogs are cats Universal Negative (UN)

It means UN can be converted into PN or UN.

## Particular Positive (PP)

 Given Statement Valid conversions Type Some Cats are Dogs Some dogs are cats Particular Positive (PP)

It means PP can be converted into PP only.

## Particular Negative

Example: Some Cats are not Dogs. In Particular negative statements (PN), no conversion can be made.
So PN=can’t convert.
To sum up the conversion rules

 Type Valid Conversion Universal Positive (UP) Only PP Universal Negative (UN) PN or UN Particular Positive (PP) Only PP Particular Negative (PN) Not possible.

In some lower level exams, sometimes they directly ask about conversion. For example
Q. What can be concluded from the given statement: “Some Politicians are honest men.”

1. Some Honest men are not Politicians.
2. All Honest men are not politician
3. Some Honest men are politicians.
4. None of Above.

## Solution

well, the given statement “Some Politicians are honest men.” is a particular positive statement (PP).
Hence according to our table, it can be converted into PP only. Therefore

 Given answer choice Thought process Some Honest men are not Politicians. Particular negative (PN), hence eliminate. No Honest men are politicians. Universal Negative, hence eliminate Some Honest men are politicians. PP hence this is correct answer. None of Above. –not applicable because C is the correct answer.

In case you are wondering,
Q. Some politicians are honest men.
In above case, can’t the answer be “A”: Some honest men are not politicians?
Well, if you go by Venn Diagram method, it’ll lead to two cases hence it is “doubtful”.

## Case #1

 Data Subject (Politicians) Sardar Patel Lal Bahadur Shastri Raja Kalmadi Predicate (Honest Men) Sardar Patel Lal Bahadur Shastri

In above situation, can you say “Some honest men are not politicians”?
Well you can’t say that. Because both Honest men (Sardar and Shastri) are in politician set.

## Case #2

• In above situation, can you say “Some honest men are not politicians”?
• Yes you can. Because two Honest men (Bhagat Singh and Azad) are not in politician set.
• The point is, whenever “two cases” are possible, you cannot ‘safely’ conclude one statement.

Hence, if the statement is

• Some “A” are “B”–> it doesn’t mean Some “B” are not “A”.
• The only valid conclusion in above case is :Some “B” are “A”.

Therefore Particular Positive (PP) statement can be converted into Particular Positive (PP) statement only.
Similarly

 Type of Statement Valid Conversion Path Universal Positive (UP)All cats(A) are dogs (B) Only PPSome Cats (A) are dogs. (B)Some dogs (B) are cats. (A) A to BB to A Universal Negative (UN)No Cats(A) are dogs (B) PN :Some Dogs (B) are not Cats (A). B to A UN: No Dogs (B) are cats. (A) Particular Positive (PP)Some cats (A) are dogs (B) Only PP: Some dogs (B) are cats(A) B to A Particular Negative (PN) Not possible. —

Anyways back to the topic, what are we discussing?

1. Topic of discussion is: How to solve 2 statement syllogism question
2. Subject vs predicate
3. Type of statements (UP, UN, PP, PN)
4. Standard format and conversion.

The standard question format is
A–>B
B–>C
If the given question doesn’t have statements in ^above standard format, then we must convert them into standard format. Only then we can proceed further.
So far, We constructed our shortcut table on how to convert the statements. Now

## let’s try some examples

 Question statements Conversion? 1. All Cats are dogs(B) 2. Some dogs(B) are not pigs. Already in standard format (A to B and then B to C) hence no need to convert. 1. Some dogs(B) are not pigs. 2. All Cats are dogs(B) No need to convert any statement. Just exchange the position of first and second statement. 1. All Cats are dogs(B) 2. Some dogs(B) are not pigs. 1. All Cats are dogs (B) 2. All pigs are dogs(B) Have to convert, because not in standard format.1.All cats(A) are dogs(B) 2.Some dogs(B) are pigs(C). (Rule UP-> only PP)

Now coming to the heart of the matter: how to solve the (stupid) 2 statement syllogism question?

# No conclusion Combos

Here are the non-conclusion combos when two question statements are in following format.

 First statement (A to B) Second statement (B to C) Answer Universal Positive (UP) Particular Positive (PP) No conclusion Particular Negative (PN) No conclusion Universal Negative (UN) Universal Negative (UN) No conclusion Particular Negative (PN) No conclusion Particular Positive (PP) Particular Positive (PP) No conclusion Particular Negative (PN) No conclusion Particular Negative (PN) Any other (UP, UN, PP, PN) No conclusion

^does it look difficult?
Not really. Let’s condense this table into mug-up rules.

1. UP’s politicians hate giving particular statements (both positive and negative). E.g. they donot reveal their clear position on FDI in retail until the 11th hour.
2. United Nations hates negativity. (both Universal and particular)
3. Pritish Nandy hates everybody.
4. Two-negatives=no conclusion. (although implicit in 2+3)
5. Two particulars=no conclusion. (although implicit in 1+3)

Please note: in ^above situations definite conclusion is impossible. However, sometimes two answer choices are still possible “either a or b”.
For the moment, let’s not complicate the matters with complimentary pairs.

1. first, make sure it contains only three terms (ABC) (else no conclusion.)
2. Make sure question statements are in standard format (A to B then B to C). If not in standard format, then re-arrange.
3. Classify the question statements. (UP, UN, PP, PN)
4. Check if the question statements have no conclusion combos (^Above rules)

if above things donot yield an answer, then we’ve to think about what will be the “conclusion(s)”?

# Conclusive-Combos

If you’ve followed above steps, then question statements in the format “A to B and then B to C.”

 First statement (A to B) Second statement (B to C) Conclusion Universal Positive (UP) Universal Positive (UP) Universal Positive (UP) (A to C) Universal Negative (UN) Universal Negative (UN) (A to C) Universal Negative (UN) Universal positive (UP) Particular Negative (PN). (C to A) Particular Positive (PP) Particular Positive (PP) Universal Positive (UP) Particular Positive (PP) (A to C) Universal Negative (UN) Particular Negative (PN) (A to C)

As you can see from above table,
The answer statement is usually in the format of A to C. with exception when first question statement is Universal Negative (UN).
Let’s condense this table into mug-up rules as well.

 Conclusive-Combos In your head, visualize UP+UP=UP If Uttar Pradesh meets Uttar Pradesh, then its size doesn’t increase. UP+UN=UN If Uttar Pradesh meets United Nations then its size increases and it becomes United Nations. UN+ (UP/PP)=PN United Nations Secretary Ban Ki Moon is in very positive mood. But he meets another positive person, and his attitude is totally reversed– he becomes particularly negative! (reversed =C to A) PP+ (UP/UN)=PP/PN When Mr.PP observes the universe via NASA telescope, his mood becomes positive or negative depending on the mood of universe.

Try a question from SSC-CGL (Tier-I, 2010) exam,

# DemoQ: Crazy men and Women

Question Statements

1. All men are women.
2. All women are crazy.

Conclusion

1. All Men are crazy
2. All the crazy are men
3. Some of the crazy are men
4. Some of the crazy are women

1. None of the conclusion follows
2. All conclusions follow
3. Only 1, 3 and 4 follow
4. Only 2 and 3 follow

(I suggest you pause here. First try to solve it on your own, without directly reading the solution. If you’ve difficulty, re-read rules given above)

## Solution

Our standard operating procedure (SOP)
Question Statements

1. All men are women.
2. All women are crazy.

First step: make sure four terms are not given = check. Only three terms (men, women, crazy)
Second step, make sure they’re in standard format (A to B and then B to C): Check yes they’re.
Hence conversion is not required.

 All men(A) are women. (B) (UP) All women(B) are crazy.(C) (UP)

Third step, classify the statements.

 All men are women. Universal Positive (UP) All women are crazy. Universal Positive (UP)

Fourth step: check the combo for question statements.

• Well, since it is UP+UP= its size doesn’t increase. Hence conclusion should be UP. (A to C) meaning All men(A) are crazy.(C)

 All Men are crazy Correct. All the crazy are men Recall that “conversion table”.Universal Positive (UP) can be converted only into Particular Positive (PP). Since All men are crazy => Some Crazy are men. But we cannot say All crazy are men. So this option is false. If you apply common sense at this stage: well, 1st statement correct, and 2nd statement is false, hence answer is (C): only 1, 3 and 4 follow! Some of the crazy are men Correct because of “conversion table” Some of the crazy are women Given question statement : All women are crazy. (Universal positive). If we apply conversion table (UP=> PP) then Some Crazy are women. Hence this statement is also correct.

Final answer (C): only 1, 3 and 4 follow
If you’re still staggering, I suggest you go through those rules again, note them down in a diary in your own words and language, revise a few times. Then try next question

# DemoQ: Intelligent Poets and singers

Question Statements (SSC-CPO exam)

1. All poets are intelligent
2. All singers are intelligent.

Conclusion

1. all singers are poets
2. some intelligent persons are not singers

1. only conclusion one follows
2. only conclusion two follows
3. either conclusion one or conclusion two follows
4. neither follows

## solution

first step: does the question statements have only three terms? Check: Yes. Singers, poets, intelligent. Good, proceed with next step.
Second step: Are the question statements given in standard format (A to B then B to C)?
Check. Nope

1. All poets (A) are intelligent (B)
2. All singers (C) are intelligent. (B)

Then we have to convert it into standard format. And since both statements are universal positive, we don’t need to worry about which statement to convert first? (that “priority order”, more about it, explained at the bottom of this article.)
Second statement is universal positive (UP), according to our table, we can only convert it into particular positive (PP) therefore
All singers (C) are intelligent. (B)==> Some intelligent persons(B) are singers.(C)
Now the new question statements, in the standard format (A to B then B to C) are
1. All poets are intelligent (B)
2. Some intelligent persons(B) are singers.
Third step, classify the question statements

 question statement type 1. All poets(A) are intelligent (B) Universal positive (UP) 2. Some intelligent persons(B) are singers.(C) Particular positive (PP)

Fourth step, apply the combo rules.
Since UP’s politicians hate particular statements (both positive and negative), hence no conclusion can be drawn. That means we cannot connect A to C or C to A.

 i. all singers(C) are poets (A) False. UP+PP=no conclusion, as explained above. ii. some intelligent persons are not singers Check the second original question statement : All singers are intelligent. (Universal positive –UP). According to our conversion table, UP can be converted into particular positive (PP) only. But this answer statement (II) is a particular negative statement. Hence this is also false.

# CAT-level

Same UP-UN Concept but they pack 3-4 or more syllogism questions into one question to test your speed, not just your understanding. for example:

# DemoQ: Sweet Testing Apples (CAT)

given question has five statements followed by options containing three statements put together in a specific order. Choose the option which indicates a valid argument, where the third statement is a conclusion drawn from the preceding two statements.
Question statements (CAT 1999)

1. Apples are not sweet
2. Some apples are sweet
3. All sweets are tasty
4. Some apples are not tasty
5. No apple is tasty

1. cea
2. bdc
3. cbd
4. eac

## solution and approach

we’ve to check the given options one by one.
Option (i). CEA. Meaning we’ve to take C as our statement (I), E as our Statement (II) and then observe, if statement (A) can be concluded from C and E.

 C All sweets are tasty Universal positive E No apple is tasty. Universal negative A Apples are not sweet Universal negative

In the actual CAT exam, we cannot afford to waste time in actually converting all statements and checking them.
Here is the fast approach
1. three terms?= yes
2. in standard format? No. but we can convert second (UN) into another UN and then combo rule is UP+UN=UN.
Hence this answer choice (CEA) is correct.

# DemoQ: Working mother nurses (CAT)

 question statement answer choices No mother is a nurse. Some Nurses like to work No woman is prude Some prude are also nurses Some nurses are women All women like to work ABE CED FEB BEF

Check the answer choices one by one.

## i. ABE

 A (Statement I) No mother is a nurse. (UN) B (Statement II) Some Nurses like to work E (Conclusion) Some Nurses are women.

This is invalid. Because Statement I and II have three terms (Mother, Nurse and work) while given conclusion statement adds fourth new term “women”

Move to next choice.

## ii. CED

 Statement Type C (Statement I) No woman is prude Universal negative E (Statement II) Some nurses are women Particular positive D (conclusion) Some prude are also nurses Particular positive

Question statements have three terms? Yes (women, prude, nurses)
Are they in standard format (A to B then B to C?) nope.

 No woman(B) is prude Universal negative Some nurses are women(B) Particular positive

change position of first and second statement.
1. Some nurses(A) are women(B)
2. No woman(B) is prude(C)

 question statement type 1. Some nurses(A) are women(B) Particular positive (PP) 2. No woman(B) is prude(C) Universal negative (UN)

Apply the combo rules
PP+UN=??

• When Mr.PP observes the universe via NASA telescope, his mood becomes particularly negative or positive depending on the mood of universe. Hence PP+UN=PN.(A to C)
• So legitimate conclusion is “Some Prune arenot nurses”.
• But Check the given conclusion statement: “Some prude are also nurses.” It is Particular positive (PP).
• But According to conversion table, PN cannot be converted. So we cannot say that since “Some prune are not nurses, that means some prunes are nurses!”
• Therefore given answer choice(ii) CED is false because D cannot be concluded from C+E.
• Move to the next answer choice.

Actual thought process: three terms =yes. Standard form=no. rearrange. But PP+UN=PN, can’t be converted to PP. Hence false.

## iii.FEB

 Statement Type F (Statement I) All women like to work Universal positive UP E (Statement II) Some nurses are women Particular positive PP B (conclusion) Some nurses like to work Particular positive PP

three terms =yes. Standard form=no. but no need to convert, just exchange position of statement I and II.

 Some nurses(A) are women(B) Particular positive PP All women(B) like to work (C) Universal positive UP

Apply combo rule, again same situation
When Mr.PP observes the universe via NASA telescope, his mood becomes particularly positive or negative depending on the mood of universe. Hence PP+UP=PP.(A to C).
Some nurses(A) like to work(C). Done! This is same as the given conclusion (B)
Therefore, final answer is (iii) FEB.

# DemoQ: 4 questions in 1!

This one is from CAT-1999.
Each of the given question statement as three segments. Choose the alternative where third segment of the statement can be logically be used using the both preceding two but not just from one of them
Question statements

1. all dinosaurs are prehistoric creatures. Water buffaloes are not dinosaurs. Water buffaloes are not prehistoric creatures
2. all politicians are frank. No frank people are crocodiles. No crocodiles are politicians
3. no diamond is quartz. No opal is quartz. Diamonds are opals.
4. All monkeys like bananas. Some Joes like bananas. Some Joes are monkeys.

1. Only C
2. Only B
3. Only A and D
4. Only B and C

## Approach

 C. Diamonds, Quartz, Opals. Three terms yes. Standard format =No.Both question statements are Universal negative. We can convert either of them, into UN or PN. But in any case, both question statements will remain negative. And Two negatives=no conclusion. So “C” is not possible. Hence answer choice (i) and (iv) eliminated. B. Frank politicians and crocodiles Already in three terms standard format.UP+UN=size enlarged and becomes UN. So conclusion should be “No crocodile is politician” so this statement is correct. Hence answer choice (ii).

The End?
No. Picture abhi baaki hai mere dost: just three more concepts before concluding the Two-Statement Syllogism

# Special Conversions

Recall that when question statements are not in standard format (A to B then B to C), in that case we’ve to convert them according to conversion table. Here are some special cases.

 Given Question statement Conversion (all applicable to all given question statements) Type None but Politicians are honest. No one else but Politicians are honest. Only politicians are honest. Politicians alone are honest All honest(people) are politicians UP No non-politician is honest. No honest (people) are non-politicians. UN Some politicians are honest PP

Second concept:

# Complimentary pairs

Earlier we saw there are five no-conclusion combos

1. UP’s politicians hate giving particular statements (both positive and negative). E.g. they donot reveal their clear position on FDI in retail until the 11th hour.
2. United Nations hates negativity of any type. (both Universal and particular)
3. Pritish Nandy hates everybody.
4. Two-negatives=no conclusion.
5. Two particulars=no conclusion.

For example

 Question statement 1. Some Politicians are male.2. Some males are honest. Conclusion 1. Some Politicians are honest.2. No Politicians are honest.

1. Only 1 follows
2. Only 2 follows
3. Either 1 or 2 follows
4. Neither follows

Apply the standard operating procedure:
Three terms? Check: yes
Are they in standard format? A to B then B to C? check. Yes
Then classify the statements

 1. Some Politicians(A) are males(B) Particular positive. 2. Some males(B) are honest(C) Particular positive.

From the given rules, Two particulars = No conclusion!
But please observe one of the answer choice (C)= Either 1 or 2 follows.
Consider these cases

## Case#2

In this case#1: some politicians (Sardar and Shastri) are honest.
So “conclusion (1) may be possible.”

## Case#2

In this case, No politician is honest.
So “conclusion (2) may be possible.”
Therefore answer becomes “Either 1 or 2 follows”
Such syllogism-situations are called “complementary”.
You’ve to check following things, before thinking about “complementary” cases.

1. Two statements with three terms? Yes
2. Question statements are given in standard format (A to B Then B to C). if not, then rearrange or convert them.
3. Classify the statements (UP, UN, PP, PN)
4. Apply the rules. Get the answer.
5. If Step #4 gives “No conclusion” AND one of the answer choice is in the format of “Either I or II follows”, only then check for complemantary case.

## Checklist: complementary case

1. Two answer choices have same subject and predicate.
 Applicable Not applicable 1. Some Politicians are honest.2. No Politicians are honestBecause both have common subject (politician) and common predicate (honest) 1. Some Politicians are honest.2. No Honest are Politicians.In first statement, subject=Politician but in second statement, subject= Honest. Hence complemantary case not possible.

2). The answer choice combo must be either of these three

 Answer choice combo example Uttar Pradesh (UP) + Pritish Nandy (PN) 1. All Politicians are honest. 2. Some Politicians arenot honest PP + Pritish Nandy (PN) 1. Some Politicians are honest. 2. Some Politicians arenot honest PP + United Nations (UN) 1. Some Politicians are honest. 2. No Politicians are honest

When these two conditions are met, then answer would be “Either (I) or (II) follows.”

# Priority order

You know that when Question statements are not in standard format (A to B Then B to C), we must convert them. But here is a thing to keep in mind. Consider these statements

Question statements:
1. All Dogs are Cats.
2. Some Dogs are Pigs.
Common term or middle term is Dogs. So that’s our “B”.
1. All Dogs(B) are Cats.
2. Some Dogs(B) are Pigs.
We can convert it via two routes

 Route #1 Route #2 Just convert the first statement. 1. Some Cats are dogs. (Rule: UP to PP) 2. Some Dogs are pigs. We’ll re-order the statements. (that is interchange thee position of both statements) 1. Some dogs(B) are pigs 2. All Dogs(B) are Cats Now we’ll convert the first statement. 1. Some pigs are Dogs (B) (Rule: PP to PP) 2. All dogs (B) are cats.

Both routes are valid.
Now the question is, which route should be preferred?
The priority order is:
1) Particular positive (PP) >> 2) Universal Negative (UN) >> 3) Universal Positive (UP)
Note: we’ve not included Particular Negative (PN) in this order because PN cannot be converted. So according to this priority order PP>UN>UP, route #2 is the more suitable approach. (although such complications don’t usually arise in most of the questions).

# Tricky Situations: Priority order

Consider this scenario

 Question statements Conclusion All women(B) are birds Some women(B) are tree Some birds are tree All trees are bird.

As you can see, the question statements are not in standard format (A to B then B to C).

So, which question statement to convert?

First the wrong approach.

 WRON G Since question statements are not in standard format (A to B then B to C), hence we’ll convert first statement. (UP to PP)After conversion Some birds(A) are women (B) Some women(B) are tree Both question statements are particular, hence final answer=No conclusion. (please note: this approach is wrong, because we’ve not followed the priority order).

Now the correct approach

 CORR E C T The priority order for Statement conversion is PP>UN>UP.Meaning, if there are two question statements, and we’ve to convert one of them to make it a standard format=> then we’ll convert Particular positive statement first.So in the given case All women(B) are birds Some women(B) are tree Convert second statement. (PP to PP) All women(B) are birds. Some trees are women(B). Now exchange positions of question statements Some trees are women(B). (PP) All women(B) are birds. (UP) Now they’re in standard format, apply combo rule: PP+UP=PP (Nasa telescope rule!) Hence conclusion is Some trees are birds. (PP) We can also say that Some birds are trees. (PP to PP conversion). Therefore answer is (1)

Moral of the story: Conversion priority: PP>UN>UP. Especially when you’re getting PP+PP= no conclusion after conversion.

# Tricky Situations: 1-Statement Conclusion

 Question statements Conclusion All the flowers are leaves.(B) (UP) Some leaves(B) are birds (PP) Some birds are flowers Some leaves are flowers

Question statement contains only three terms=yes.

Are they in standard format? (A To B then B to C?) =Yes.

Apply combo rules: UP+PP=No conclusion because Uttar Pradesh’s politicians hate particular statements.

But here’s the catch. Observe the conclusion statements carefully

 Conclusion statement Thought process Some birds are flowers Not possible because combo rule. Some leaves are flowers first question statement says All flowers are leaves. If you apply the conversion rule UP->PP, thenAll flowers are leaves=> Some leaves are flowers. Hence this conclusion is correct, although it did not employ both question statements.

Moral of the story: Read terms (subject-predicate) of  conclusion statements.

# Summary

What to do when 2-statement syllogism question is given?

1. They must have only three terms (A, B and C)
2. Are the question statements in standard format (A to B then B to C)? if no, then refer to following conversion table. (important: priority order for conversion is PP>UN>UP.)
 Type Valid Conversion Universal Positive (UP) Only PP Universal Negative (UN) PN or UN Particular Positive (PP) Only PP Particular Negative (PN) Can’t do.

3. Classify the Question statement (UP, UN, PP, PN)
4. Apply the combo rules on Question statements.

## Yes conclusion

1. UP’s politicians hate giving particular statements (both positive and negative). E.g. they donot reveal their clear position on FDI in retail until the 11th hour. (UP+PP/PN=NO)
2. United Nations hates negativity. (both Universal and particular)(UN+UN/PN=NO)
3. Pritish Nandy hates everybody. (first statement is PN=NO, Irrespective of second statement.)
4. Two-negatives=no conclusion.
5. Two particulars=no conclusion.
1. If Uttar Pradesh meets Uttar Pradesh, then its size doesn’t increase. (UP+UP=UP)
2. If Uttar Pradesh meets United Nations then size increases and it becomes United Nations. (UP+UN=UN)
3. United Nations Secretary Ban Ki Moon is in very positive mood. But he meets another positive person, and his attitude is totally reversed- he becomes particularly negative! (reversed =C to A). (UN+UP/PP=PN)
4. When Mr.PP observes the universe via NASA telescope, his mood becomes particularly positive or negative depending on the mood of universe.(PP+UP/UN=PP/PN)

5. (rarely required): if no-conclusion and “either or” given in answer, then check for Complimentary case.

This concludes the discussion on 2 statement Syllogism question.
In later article, we’ll see the 3-statement syllogism. It is basically extention of the same UP-UN method that we learned here. However, to quickly solve 3-statements, first you must become a master of 2-statement. So, practice as many sums as you can, from any of the following books.

For the whole archive of Aptitude related articles, visit Mrunal.org/aptitude

## Mrunal recommends

Books: UPSC Prelims Books: UPSC Mains Books: Maths /Reasoning

## 698 Comments on “[Reasoning] Syllogism (All Cats are Dogs): Method, approach, techniques, shortcuts explained for IBPS, SSC, CSAT and CAT”

1. Please tell me how to solve possibilities using above method ??

2. @ avinash

I think answer is “no conclusion”.
because..
1) statements are not in standard format. i.e. A–>B
B–>C
statement 1 is UP
statement 2 is PN.
so PN statements won’t be converted, thus remains same.
by universal combo formula, UP+PN= “No conclusion”

3. Statements:
Some medicines are tablets.
Some medicines are not effective.
Conclusions:
I. Some tablets are effective.
II. No effective thing is a tablet.
1 : if only conclusion I follows.
2 : if only conclusion II follows.
3 : if either I or II follows.
4 : if neither I nor II follows.
5 : if both conclusions I and II follow.

1. Convert statements:
Some tablets (A) are medicines (B) [PP]
Some medicines (B) are not effective (C) [PN]

For conclusive cases – When PP + Pritish Nandy [PN] is the case then…
either I or II follows
Option 3

4. Statments – a. All crooks are spooks
b. All books are jokes.
c. some books are crooks.

Conclusions- I. some jokes are crooks
II. some spooks are jokes
III. some crooks are jokes.
IV. some spooks are books

1. How to solve this question by UP-UN method, what will be the ans.?

Statments – a. All crooks are spooks
b. All books are jokes.
c. some books are crooks.

Conclusions- I. some jokes are crooks
II. some spooks are jokes
III. some crooks are jokes.
IV. some spooks are books

1. i think All four conclusions are correct(ven diagram method)

5. Sir / madam wil u plz tell me the ans Statements:
Some dogs are cows.
No kittens are dogs.
Conclusions:
1. No dogs are kittens.
2. Some cows are kittens.
1: only 1 conclusion follows
2: only 2 conclusion follows
3: both 1 nd 2 follows
4: either 1 or 2 follows
5: neither 1 nor 2 follows

6. Sir / madam wil u plz tell me the ans Statements:
Some dogs are cows.
No kittens are dogs.
Conclusions:
1. No dogs are kittens.
2. Some cows are kittens.
1: only 1 conclusion follows
2: only 2 conclusion follows
3: both 1 nd 2 follows
4: either 1 or 2 follows
5: neither 1 nor 2 follows

7. only 1 one conclusion follows

Statements:
Some chappals are shoes
Some shoes are not sandals

Conclusions:

I. Some chappals are sandals
II. Some sandlas are not shoes

if only conclusion I follows.

if only conclusion II follows.

if either I or II follows.

if neither I nor II follows.

if both I and II follow

1. Conclusion 1 follows

9. But conclusion 1 is the converse of statement 1, too. PP — PP. So the ans should be both.

10. It’s neither 1 or 2. The rule is PN brings no conclusion with ANY OTHER STATEMENTS

11. And. 4

12. hello sir thanks for this great explanation on syllogism it really helps me out in solving these type of questions…
now i have a simple doubt on how to solve question with posssibility in the conclusion… please help me out here
thank you

13. Statements: (A) all teenagers go to cinema
(B) Raveesh doesn’t go to cinema.
Conclusions: I. Raveesh is not a teenager.
II. Going to cinema is not essential to be a teenager

1: only 1 conclusion follows
2: only 2 conclusion follows
3: both 1 nd 2 follows
4: either 1 or 2 follows
5: neither 1 nor 2 follows

14. where do I find article about three statement syllogism

15. All area are cat
All area are bat
No cat is a dog
All dog is elephant

16. Statement :
All area are cat
All area are bat
No cat is a dog
All dog is elephant

Conclusion :

Some Areas can be elephant
Some elephant is a dog is not a possibility
all bat can be a elephant
Some elephant is not a cat is not a possibility
all elephant can be area pls provide answer for me with venn diagram

17. DemoQ: Crazy men and Women

sir conclusion include midterm(e.g. women) so according to
RS agarwal if conclusion contain midterm then its false.

18. Hello Sir, Can you please tell me how to deal with neither 1 nor 2 conclusion follows cases ? You have mentioned shortcut about Either or Cases but not about this.

19. Both 1 and 2

20. In the answer choice combo for checking if Complementary or not, should the conclusion statements be in order as given by you
ie, instead of UP+PN, PN+PP, PP+UN, can it also be PN+UP, PP+PN, UN+PP?

21. First of all, there is no need to interchange the statements.
Second, here when you interchanged the standard pattern is not achieved. So you have to make it in A->B, B->C order which you haven’t

Ques.-
1. All Fishes are Grey in Color.
2. Some Fishes are heavy.

Conclusions.-
1. All Heavy fishes are grey in color.
2. All light Fishes are not grey in Color.

Options.
1. Only 1
2. Only 2
3. Either 1 or 2
4. Neither 1 nor 2
5. Both 1 and 2

1. only 1. Bcoz the 1st statement says all fishes are grey in color (whether heavy or light) so in conclusion the second statement is wrong

Can you provide me a video on Syllogism Q&A same as above tricks please

24. According to
RS agarwal if conclusion contains midterm then its false…….
Please explain with the below example.
Ex. 1.some kites are horses
2.all horses are dogs
Conclusion: 1. All dogs are horses
2. Some dogs are horses.

25. All cricketers are tall.
Rajesh is tall.
Conclusions: I. Rajesh is a cricketer.
II. Rajesh is not cricketer.
(a) Either Conclusion (I) or Conclusion (II) follows
(b) Neither Conclusion (I) nor Conclusion (II) follows
Since both these Conclusions are contradictory, Either one of them should follow and hence the answer should be (a)
However, they don’t form a complementary pair since Conclusion (I) is A type while Conclusion (II) is E type
So Whats the correct answer and whats the method for solving such questions

26. Statement: Some girls are flowers.
Some flowers are books.
Conclusions: I. Some girls are books.
II. No books are girls.
(a) Either Conclusion (I) or Conclusion (II) follows
(b) Neither Conclusion (I) nor Conclusion (II) follows
In this case, both the conclusions are contradictory and hence answer should be (a), However, these aren’t complementary pairs since Subject of Conclusion (II) and Conclusion (I) are different, so whats the correct answer and how to go about such questions

27. SIr in the example
all dinosaurs are prehistoric creatures. Water buffaloes are not dinosaurs. Water buffaloes are not prehistoric creatures
all politicians are frank. No frank people are crocodiles. No crocodiles are politicians
no diamond is quartz. No opal is quartz. Diamonds are opals.
All monkeys like bananas. Some Joes like bananas. Some Joes are monkeys.