[Reasoning] Three-Statement Syllogism: technique, method, shortcuts for IBPS, SSC, CSAT, CAT, CMAT

Aptitude196 Comments

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Don’t read further, until and unless you’ve mastered the 2-statement syllogism technique explained in previous article (click ME)

  1. Recap of 2-Statement syllogism
  2. Parent Statements
  3. Chain formula
  4. DemoQ: Married Student Dancers (CSAT-2012)
  5. DemoQ: Rich n Sick Air travellers (CSAT-2012)
  6. DemoQ: Drug addict Artists (CSAT-2012)

Recap of 2-Statement syllogism

Before we understand the 3-statement syllogism, let’s recap the 2-statement trick just for refreshing your memory.
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.)
TypeValid 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.

No conclusion scenario

possible conclusion scenario

  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.
Now we’ll see how to solve three-statement syllogism.

Parent Statements

The crux of 2-statement syllogism was

  1. When we’ve Question statements in standard format (A to B then B to C).
  2. We apply some combo rules and may get a conclusion in the form of A to C

(or we may get the conclusion in form of “C to A”, in case the question statements were in the format of UN+(UP/PP). Recall the Ban-ki-Moon’s mood reversal).
In case of three statement syllogism, we accept the conclusion statement (A to C) as valid, then try to find out its parents (those question statements A to B then B to C).
Then, we try to get a valid conclusion out of those two-question statements and see if it matches with the given conclusion state in answer.
No need to get confused, let’s try with a simple scenario.

question statement

conclusion statement

  1. All cats are dogs
  2. some pigs are cats.
  3. All dogs are tigers
  1. some tigers are cats
  2. some pigs are tigers
  3. all cats are tigers
  4. some cats are not tigers

Answer choices

  1. Only 1 and 2
  2. Only 1, 2 and 3
  3. All follow
  4. None Follow

Start with first conclusion statement

i) Some tigers are cats (PP)

Q. if this is a valid conclusion, who’re its parents?
Ans. Thouse question statements with words “tigers”, “cats”, and a common term.
You can see, first and third statement fits the bill.

Q.statementType
  1. All cats(A) are dogs(B)
UP
  1. All dogs(B) are tigers(C)
UP
  • Three terms=Ofcourse yes.
  • Are they in standard format (A to B then B to C)? Yes.
  • Then what are you waiting for? Just apply the combo rules. UP meets UP then its size doesn’t increase (UP+UP=UP) A to C. Hence conclusion will be “All cats are tigers.” (meaning given conclusion statement #3 is valid).
  • If we convert this valid conclusion “All cats are tigers (UP)”, then UP–>PP= Some tigers are cats.

It means the given conclusion statement#1 is also valid.
So far: 1 and 3 are correct.
Now test the second conclusion statement.

Chain formula

ii) some pigs are tigers

if this is a valid conclusion, who’re its parents?
Ans. . Thouse question statements with words “pigs”, “tigers”, and a common term(B).
But I don’t see any such question statements.
Now we’ll have to apply chain formula. Meaning, (A to B1, then B1 to B2, then B2 to C).
Consider this arrangement

Question statements (CHAIN)Chain
  1. some pigs(A) are cats.(B1)
Pig to Cat, cat to dog and finally dog to tiger. Let’s see if we connect pig to tiger.
  1. All cats(B1) are dogs(B2)
  1. All dogs(B2) are tigers(C)

We’ll take two statements at time and try to get an intermediate conclusion.

StatementType
  1. some pigs(A) are cats.(B1)
Particular positive (PP)
  1. All cats(B1) are dogs(B2)
Universal positive (UP)

Three terms = yes
Standard format= yes. (there A to B1 and then B1 to B2, which is just like A to B then B to C)
Apply combo-rule
PP+UP=PP (NASA mood change!) (A to B2)
Hence intermediate conclusion is Some pigs(A) are dogs(B2)
Now take this intermediate conclusion with the next statement in our chain.

Question-statementsType
Some pigs(A) are dogs(B2)Particular positive (PP) (derived)
All dogs(B2) are tigers(C)Universal positive (UP) (given in question).

Again, same standard operating procedure of 2-statement syllogism.
Three terms = yes
Standard format= yes. (there A to B2 and then B2 to C, which is just like A to B then B to C)
Apply combo-rule
Again, PP+UP=PP (NASA mood change!) (A to C)
Therefore conclusion is Some pigs(A) are tigers (C).
Voila! Second conclusion statement is also correct.
So far 1, 2 and 3 are correct.
Let’s check the last statement (IV).

iv) some cats are not tigers

while we were checking the first conclusion statement, we had found that “All cats are tigers (UP)”. Therefore, given conclusion statement is not possible.
Final answer: only 1, 2 and 3 are correct. (option b)

DemoQ: Married Student Dancers (CSAT-2012)

Question statements

  1. None but students are the members of the club.
  2. Some members of the club are married.
  3. All married persons are invited for dance.

Which one of the conclusions can be drawn from the above statements?

  1. All students are invited for dance
  2. All married students are invited for dance
  3. All members of the club are married person
  4. None of the above conclusions can be drawn

Solution and approach

  • first, rephrase the given statements so that processing becomes easier.
  • Recall the “special conversion” rule from previous article on 2 statement.
  • None but Politicians(A) are honest(B)=> All honest(B) are politicians(A) (Universal positive)
  • I’m replacing the word “members of the club” with “club-members”.
  • Thus simplified version of the given question is following
Question statementsAnswer statements
1. All clubmembers are students.2. Some clubmembers are married.
3. All married are invited for Dance.
a) All students are invited for danceb) All married students are invited for dance
c) All club-members are married.
d) None of the above conclusions can be drawn

Ok now what?
We’ve to pick up the answer statement one by one and test them.

a) All students are invited for dance

there are two ways to solve this statement, first the

longcut method

Who’re the parents of this conclusion statement?
No direct parents. We’ve to apply chainrule.

Question statementsChain rule
  1. All clubmembers(B1) are students(A)
We’ll try to link students-clubmembers-married-dance invitation.
  1. Some clubmembers(B1) are married.(B2)
  1. All married(B2) are invited for Dance.(C)

Let’s start. First two statements

  1. All clubmembers(B1) are students(A)
UP
  1. Some clubmembers(B1) are married.(B2)
PP

Standard format? Nope.
Conversion needed: yes. But priority order=PP>UN>UP. Means we’ll convert the second statement (particular positive)

  1. All clubmembers(B1) are students(A)
UP
  1. Some married (B2) are clubmembers(B1).
PP converted to PP.

They’re still not in standard format. So Exchange positions

  1. Some married (B2) are clubmembers(B1).
PP converted to PP.
  1. All clubmembers(B1) are students(A)
UP

Ok now they’re in standard format. Apply the combo rule. PP+UP=PP (NASA Mood change)
Some married are students. This is our intermediate conclusion. Now pair it up with third question statement from the chain rule

Some married(B2) are students(A)PP
All married(B2) are invited for Dance.(C)UP

Standard format? Nope.
Then convert!

Some students(A) are married(B2)PP
All married(B2) are invited for Dance.(C)UP

Ok now in standard format (A to B then B to C)
Apply combo rule PP+UP=PP (NASA mood change again!)
Conclusion = Some students are invited for dance. (PP)
But the given answer statement says “All students are invited for dance”(UP)=impossible.
Hence first answer choice is eliminated.

Shortcut

  • You see the conclusion statement says “all students are invited for Dance.” (univ.positive statement).
  • When do we get “universal positive” statement as conclusion.?
  • Only when UP+UP=UP.
  • If we apply the chain-rule, we’ll encounter one particular positive (PP). And that’ll ruin the mood (because whenever particular positive statement comes, the conclusion is either

1. PP+UP=Particular positive (NASA mood change) OR
2. UP+PP=No conclusion. (UP politicians hate particular statements).

  • Hence we can never get a Universal positive (UP) type of conclusion, in either case! Means this answer choice is invalid by default! No need to manully apply chain rule here. Anyways, Move to the next answer choice

b) All married students are invited for dance

superficially this statement contains three terms.

  1. Married
  2. Student
  3. Dance

Wait a minute! Our syllogism conclusions contain only two terms (e.g. All dogs are cats.)
So, how can we apply syllogism here?
Well, if you observe carefully, the syllogism rules are still applicable in this conclusion statement containing three terms.
From the “longcut” method in previous option, we’ve found that “Some students are invited for dance. (PP)”

  • Question: which students are invited? Well, we eliminated the middle-term (B2) “Married”. Means all married students are invited for dance. (this represents the intersecting area between two Venn Diagram circles).
  • Therefore, we can say “All married students are invited for dance.” Hence Answer is (B).

c) All club-members are married.(UP)

The second question statement says, “Some clubmembers are married.” (PP).
A particular positive statement can be converted into only PP. Hence we cannot say for sure that all club members are married. Hence this answer choice is incorrect.

DemoQ: Rich n Sick Air travellers (CSAT-2012)

Question Statements

  1. None but the rich ran afford air-travel.
  2. Some of those who travel by air become sick
  3. Some of those who become sick require treatment

Conclusion statements

  1. All the rich persons travel by air.
  2. Those who travel by air become sick
  3. All the rich persons become sick.
  4. All those who travel by air are rich

Solution

  • first we will simplify the given statements.
  • Recall the “special conversion” rule from earlier article on 2-statement syllogism.
  • None but Politicians(A) are honest.(B)=> All honest(B) are politicians(A) (Universal positive)
  • Similarly, None but the rich ran afford air-travel=> All air-travellers are rich. (UP).
  • That means, Correct answer is (D). Case is over.
  • But just for concept clarity, let’s test remaining answer choices as well.
Simplified question statements

  1. All air-travellers are rich.
  2. Some air travellers are sick.
  3. Some sick are treatment.
Simplified Answer statements

  1. All rich are air-travellers.
  2. (all) air travellers are sick
  3. All rich are sick.
  4. All air-travellers are are rich.

Now let’s solve

  1. All rich are air-travellers.
The given question statement is “All air-travellers(A) are rich.(B)”(UP). Apply the conversion here, UP=>PP. Hence Some rich(B) are air-travellers(A).Therefore, first answer choice is incorrect.
  1. (all) air travellers are sick
Question statement #2 says “Some air travellers are sick.” (PP). can’t convert to UP.Hence this option is also incorrect.

c) All rich are sick.

Q.If this is the conclusion statement, then who are its parents?
Ans. Those question statements which contain the terms “rich”, “sick”, along with a common middle term.
From the given question statements, following two fit the bill

1. All air-travellers(B) are richUP
2. Some air travellers(B) are sickPP

Approach #1 (shortcut)

Please observe: “All rich are sick.”= Universal positive statement.
When do we get UP conclusion? Only when combo rule UP+UP=UP is applied.
Now in above case, one question statement is PP. so it’ll “kill” the mood. UP conclusion is not possible. (no need to convert any statement.)

Approach #2 (longcut)

1. All air-travellers(B) are rich.(A)UP
2. Some air travellers(B) are sick.(C)PP

As you can see, there is one middle term (air travellers). But the question statements are not in standard format (A to B then B to C).
It means, we must convert anyone statement. But priority for conversion is PP>UN>UP.
So we will convert second statement.
Some air-travellers are sick (PP)==convert==> Some sick are air-travellers(B)

1. All air-travellers(B) are rich.UP
2. Some sick are air-travellers(B)PP

But they are still not in standard format (A to B then B to C). well no problem, just exchange position of question statements

1.Some sick(A) are air-travellers(B)PP
2. All air-travellers(B) are rich.(C)UP

Apply the Combo-rule. PP+UP=PP (NASA Mood change).
Hence Some sick(A) are rich.(C). (PP)
If we convert it then Some rich are sick. (PP convert to PP).
But answer choice says All rich are sick.= this is not possible.
Therefore, third answer choice is also incorrect.

DemoQ: Drug addict Artists (CSAT-2012)

Question statements

  1. All artists are whimsical.
  2. Some artists are drug addicts.
  3. Frustrated people are prone to become drug addicts.

From the above three statements it may be concluded that:

  1. Artists are frustrated
  2. Some drug addicts are whimsical
  3. All frustrated people are drug addicts.
  4. Whimsical people are generally frustrated

Statement 3 says “Frustrated people are prone to become drug addicts.” For our purpose this is a “Particular positive (PP)” statement. Let’s simplify it to “Some frustrated people are drug addicts” Now start with answer (A)

a) (all) Artists are frustrated (UP)

if this is the answer, then what could be the question statements?
The question statements could be those statements where the words Artist and frustrated come along with a common middle-term (B)
Consider these question statements:

2. Some artists are drug addicts.(B)PP
3. Some Frustrated people are drug addicts.(B)PP

Although this in not in “standard format”, but even when we convert one of them (PP->PP), we’ll be left with PP+PP=no conclusion.
Hence move to next option.

b) Some drug addicts are whimsical

  • if this is the answer, then what could be the question statements?
  • The question statements could be those statements where the words drug addict and whimsical come along with a common middle-term (B)
  • Consider these question statements:
1. All artists (B) are whimsical.UP
2. Some artists (B) are drug addicts.PP
  • Three terms = yes.
  • Standard format (A to B then B to C)=No.
  • So maybe to convert anyone know the statement. according to the priority order PP>UN>UP, we must convert second statement.
1. All artists (B) are whimsical.UP
2. Some drug addicts are artists (B).PP->PP converted.

Now interchange position of question statement 1 and 2.

Some drug addicts(A) are artists (B).PP->PP converted.
All artists (B) are whimsical.(C)UP
  • Okay now what? Apply the combo rules
  • PP+UP=PP. (NASA mood change).
  • Thus final answer is “some drug addicts are whimsical.” (option B)

For the archive of all [Aptitude] articles, visit Mrunal.org/aptitude.





So far 196 Comments posted

  1. prashant

    Any one out here explain me this question

    statements:
    All stereos are cds.
    some stereos are cassettes
    some cds are pens

    conclusions:
    1 some pens are stereos
    2 some cds are cassettes.
    3 some pens are cassettes.
    4 all stereos are cassettes.

    options are:

    a)either 1 or 4 follows
    b) only 2 and 3 follows
    c)either 1 or 4 and 2 follows
    d)only 2 follows
    e) none of these

    1. Jony

      Somebody please xplain.. I dnt understand how it produce 2 as an answer when most of the conclsion are in PP.. According to the given method the answr shud be (e)..

    2. Pallav

      Statement 1 : All stereos are cds
      Statement 2 : some stereos are cassettes
      1st statement is UP type and 2nd statement is pp type and according to priority pp type should be converted.
      So the converted 2nd statement is :
      Statement 2 (conv): some cassettes are stereos
      Now we change the order of both the statements to bring it in the A->B/B->c format. Hence
      Statement 1 :some cassettes are stereos
      Statement 2 :All stereos are cds
      Conclusion : Some cassettes are cds or some cds are cassettes

  2. Vipul

    all popular novels are best-sellers.
    some literary novels are not best sellers.

    some literary novels are not popular …. is the conclusion correct ?

  3. abhishek

    answer for prashant’s question : Is it “d” if it is…. then tell me i will explain you the method

      1. Roushan

        Prashant:
        Concl 1 may of may not folloe
        Concl 2 Defintly folloe
        conclusion 3 may or may not follow
        Concl 4 Never follows…
        so according to options, Only 2 follows

      2. aakash

        hw com 1 is not correct in prashant’s question
        statements:
        All stereos are cds.
        some stereos are cassettes
        some cds are pens

        from 1 and 3
        statements:
        All stereos are cds.(UP)
        some cds are pens (PP)

        Conclusion
        Some stereos are pens (PP)
        PP-> PP
        Some pens are stereos which is option 1.
        So why not 1 conclusion and overall answer none of these since 1 and 2 not exist in option.

  4. kirti

    statement:
    1.Some books are pens.
    2.No pen is pencil.

    conclusion:
    1.some books are pencils.
    2.No book is pencil.

    the answer is to be given as
    a. if only conclusion 1 follows
    b. if only conclusion 2 follows
    c. if either conclusion 1 or 2 follows
    d. if neither 1 or 2 follows
    f ..if both 1 and 2 follow

    according to d book the answer is ‘c’..

    Now while im solvng thisThe statment 1 is PP and 2 is UN. According the combo rule, PP + UN = PN.( as per mrunal.org method)
    Therfore the answwer should be “Some books are not pencils ” i.e. the option d.
    if anyone also following mrunal procedure please help

    1. niha

      The answer for this question is 3rd option as the solutions are complimentary.Some and no form a complimentary pair so either or will be the answer

    2. prateek

      according to mrunal method answer should be
      “some books are not pencils”
      but apart from following combo rules ( as explained by mrunal ), we should also have to look for any complementary pair and single statement conversion, if so formed then that should have priority as in your question so 3rd option is correct.

        1. Pratyusha

          But according to Mrunal, the complementary case arises only after we arrive at ‘no conclusion’ from the given statements. In this case it is a clear PN.
          Should we test for complementary cases even when there is no ambiguity?

  5. kris

    Q1:Statements:
    1.some colours are paints
    2.All colours are varnishes
    3.No varnish is a dye
    conclusions:
    a.No paint is a dye
    b.All paints being varnishes is a possibility

    Mrunal sir…… how will i handle when conclusion has this “possibility” type of senteces?
    can you please answer this question?
    Thanks for your work…

    1. himanshu

      All paints being varnish is a possibility is the right answer.

      NO paint is a dye can be true but not in all possible Venn scenarios, hence rejected.

      Venn Diagrams are best source to solve such cases.

    2. vishal kumar

      Conclusion b is right. It is possible.
      From the statements some paints are varnishes is right
      and there is no negative sentences between statement 1 and 2.
      so it is possible.

  6. Gaurav Verma

    Ans plz.
    Statements.
    1.all apartments are hut
    2.No hut is building
    3.all buildings at cottage

    Conclusions
    1.no cottage is apartment
    2.some cottages are apartment
    3.No apartment is a cottage
    4.Some buildings being apartment is a possibility
    5.Some cottages being apartment is a possibility
    6. No cottage is a hut.

    1. kris

      i think…
      first conclusion definitely follows.
      Third conclusion is converse of first conclusion.so it also follows
      6th conclusion also definitely follows.
      the above three(1,3,6) conclusions definitely follows.i have no doubt on that one.

      but i have some doubt on this possibility type sentences(4 and 5)
      even i will try…
      4 th conclusion not follows and
      5 th conclusion may be follows
      and u know that 2nd conclusion not follows
      If u have any clarity to solve this possibility type sentences….plz share with us….

      1. himanshu

        5 and 1 or 2. This will be my answer for the above case.

        6 is void because S3- ‘ALL BUILDING are COTTAGE’ denotes two things- 3(1) either all building are cottages or 3(2) all building = all cottages’
        So if 3(2) is true, then as per statement 2- No hut is building, it follows No Cottage is a Hut.
        but ,if scenario 3(1) is true, this conclusion 6 cannot be inferred.

        4 is not true anyways.

        3 – No Apt is a cottage-
        It follows from S1, S2, S3 that all Apts are huts, no Hut is bldg, so no apt can be bldg, but apt can/ cannot be a cottage depending on scenario 3 (1) or 3 (2).
        Hence, we are not certain if 3 will hold true always.

        1. prateek

          conclusion 1- no cottage is apartment.
          parent term- cottage & apartment.
          since no two statements satisfied this apply chain rule.
          for first two statement
          UP+UN=UN
          “all apartments are not building”
          from above 7 third statement
          UN+UP=PN (C to A)
          “some cottage are not apartment”
          thus according to method from starting three no conclusion follows.
          but starting two forms a complimentary pair so either one of them should be correct.
          possibility statements is better understood by venn diagrams
          on solving 5 will be correct.
          so 5 & either 1 or 2 will be correct option.

  7. Dilip

    reply plz..

    statement–
    all tigers are lions.
    no cow is lion
    some camels are cows.

    conclusion–
    some lions are camels
    no camel is tiger
    some tigers are rows

    1. himanshu

      None of the given conclusions seem to be true.

      Can you share what the answer is as per the question source?

  8. Sumiran kumar

    Please solve the following question
    Statement
    1. No note is coin
    2. Some coins are metals
    3. All plastic are notes

    Conclusions
    1. No coin is plastic
    2 All plastic being metal is a possibility

    Please put some emphasis on 2 nd conclusion

    1. KIMI

      Both the options are correct.

      Explanation: All plastic are notes and no note is coin. thats y no coin is plastic.
      some coins are metals and some note can also be metal. May be that some note contains all plastic . so it is a possibility.

  9. Prabhjyot Sandhu

    Question statements

    None but students are the members of the club.
    Some members of the club are married.
    All married persons are invited for dance.
    Which one of the conclusions can be drawn from the above statements?

    All students are invited for dance
    All married students are invited for dance
    All members of the club are married person
    None of the above conclusions can be drawn

    “i didnt understand how come “all married students are invited for dance” is the right answer..??” can somebody explain how 2nd conclusion is right..??

  10. Lakhan Jadeja

    Statements: (rrb po 2012)
    All stars are bottles
    some bottles are papers
    No paper is calander

    Conclusion 1 :
    1 All stares being papers is a possibility
    2 No calander is a paper

    Conclusion 2 :
    1 All calander being stars is a possibility
    2 Atleast some bottles are stars

    Sir plz explain how to deal with term ” being______ a possibility “

      1. YOGESH KUMAR

        manish jab tujhe kuchh nhi ata to dusron ko kyun bevkuf bnarha h is qsn m dono m dono option shi h .

  11. Pls help

    Guys i m appearing for the IBPS PO for the first time…pls suggest me a book whrein the syllogisms are explained using venn diagrams…i am not getting this UP UN and AEIOU method atall….pls pls pls pls help me

  12. heena garg

    this site is very useful.
    thankuu so much sir
    plz also tell us how to deal with being a possibility conclusions by this method

  13. Rajat

    Statements: Only pink is red
    Some pink are blue.
    No blue is white.
    Conclusions: I. All pink, if they are blue are also white.
    II. At least some pink being white is a possibility.

    I am finding it difficult to decide about conclusion-1 in the above question.
    Plz reply as soon as possible.

    Thanx in advance

    Rajat

  14. ankit

    Some pencils are kites
    Some kites are desks
    All desks are jungles
    All jungles are mountains

    1.Some Mountains are pencils
    2.Some jungles are pencils
    3.Some mountains are desks.
    4.Some jungles are kites.

    (1)Only 1 and 3 follow
    (2)Only 1, 2 and 3 follow
    (3)Only 3 and 4 follow
    (4)Only 2, 3 and 4 follow
    (5)None of the above

    I am getting answer Only 1 and 3 follow but the answer given is Only 3 and 4 follow. Please help me with this problem

  15. Sen

    All fans are tube lights.
    No pen is a bulb.
    Some bulbs are fans.

    Conclusion:
    I. Some fans are not pens
    II. All bulbs being tube lights is a possibility

    Choice:
    1) only I
    2) only II
    3) either I or II
    4) neither I or II
    5) both I and II

  16. Subroto Dey

    Statements:
    Some cups are utensils.
    No utensil is a bucket.
    All buckets are plates.
    Conclusions:
    I. Some cups are buckets.
    II. Some utensils are plates.
    III. No utensil is a plate.
    IV. Some cups are plates.
    1) Only I follows
    2) Only III follows
    3) Either II or III follows
    4) Either III or IV follows
    5) None of these
    Ans:-3
    As per my calculation ans should be 4.
    Please explain

      1. shikha

        Hi ..how did you solve this …
        Statements:
        Some cups are utensils.
        No utensil is a bucket.
        All buckets are plates.
        Conclusions:
        I. Some cups are buckets.
        II. Some utensils are plates.
        III. No utensil is a plate.
        IV. Some cups are plates.
        1) Only I follows
        2) Only III follows
        3) Either II or III follows
        4) Either III or IV follows
        5) None of these

  17. soma

    sir plz tell me how to solve the problem of syllogism when answer choice asking about the possibilites of the conclusion statement

  18. himaja

    sir iam very confused in possibility cases in 3statements so can u explain clearly in diz example Statements.
    1.all apartments are hut
    2.No hut is building
    3.all buildings at cottage

    Conclusions
    1.no cottage is apartment
    2.some cottages are apartment
    3.No apartment is a cottage
    4.Some buildings being apartment is a possibility
    5.Some cottages being apartment is a possibility
    6. No cottage is a hut.

    in 4th & 5th stmt im confusing so plz tell me clearly

  19. Seema

    Hi All,

    In the above question of drug addict, why cant we take the below statement as a universal statement.
    How are we applying this special conversion in these statements.

    Frustrated people are prone to become drug addicts.

    Can anyone explain this scenario.

    Thank you !!

  20. Varun

    sir,
    up un technique is really helpful and accurate. Although practice is key 2 success bt some useful techniques like this are beneficial and time saving..As promised in the beginning that once practicwd it will be like a walk in the park and you deliveried it.

    If i am not asking for much than can u please post an artcle on data interpritation DI .it is an very humble request please look into it.
    thank you

  21. kunal ojha

    Question:
    Parent statements;

    a) All chalks are cheese
    b) No cheese is a ship
    c) Some herds are ships

    Conclusions:

    1. Some herds are not chalks
    2. Some herds are not cheese.
    3. Some cheese are not herds.
    4. No chalk is a ship.

    Answers
    a) only 2 and 4 follow
    b) 1, 2 and 4 follow

    My doubt:
    If i take conclusion 4 as an intermediate conclusion and couple it with parent statement c, i get the result that conclusion 1 follows.
    But if i take conclusion 2 as an intermediate conclusion and couple it with parent statement a, i get the result that conclusion 1 doesn’t follow.

    Is there any rule regarding the choice of intermediate conclusions: kindly solve my conundrum.

  22. SRIKANT

    Mrunal Sir, please explain the below in detail conclusion having 3 terms…..

    b) All married students are invited for dance

    superficially this statement contains three terms.

    Married
    Student
    Dance
    Wait a minute! Our syllogism conclusions contain only two terms (e.g. All dogs are cats.)
    So, how can we apply syllogism here?
    Well, if you observe carefully, the syllogism rules are still applicable in this conclusion statement containing three terms.
    From the “longcut” method in previous option, we’ve found that “Some students are invited for dance. (PP)”

    Question: which students are invited? Well, we eliminated the middle-term (B2) “Married”. Means all married students are invited for dance. (this represents the intersecting area between two Venn Diagram circles).
    Therefore, we can say “All married students are invited for dance.” Hence Answer is (B).

  23. chandru

    Statements:
    1.No house is an apartment
    2.some bungalows are apartment
    Conclusion:
    1.No house is bungalows
    2.All bungalows are houses

    pls., any one conclude the answer with proper explanation..

    the answer is Either 1 or 2 in the booklet… is dis correct..

  24. karthik

    pls solve tis questions iam bit confused.

    Read the statements and the conclusions which follow it and Give answer –
    (A) if only conclusion I is true.
    (B) if only conclusion II is true.
    (C) if either conclusion I or conclusion II is true.
    (D) if neither conclusion I nor conclusion II is true.
    (E) if both conclusions I and II are true.

    Statements :
    All switches are plugs.
    Some plugs are bulbs.
    All bulbs are sockets.
    Conclusions :
    I. Some sockets are plugs.
    II. Some plugs are switches.

    Answer Choices

    A

    B

    C

    D

    E

    Statements :
    All curtains are rods.
    Some rods are sheets.
    Some sheets are pillows.
    Conclusions :
    I. Some pillows are rods.
    II. Some rods are curtains.

    Statements :
    All stars are suns.
    Some suns are planets.
    All planets are satellites.
    Conclusions :
    I. Some satellites are stars.
    II. No star is a satellite.

  25. niti

    sbi po 2011 ques-
    statements-
    1. all rings are circles
    2. all squares are rings
    3. no ellipse is a circle
    conclusion-
    1.some rings being ellipses is a possibility
    2. at lest some circles are squares.

    i m unable to solve the question, pls help sir

    1. Hriti

      In the above question, the answer is ONLY 2 is true. becoz ellipse is having no link with with either of first statements..

  26. Ashish

    Can anyone plz explain?
    Statements 1. All actors are males
    2. Some artists are males
    3. All singers are artists
    Conclusions I. some artists are actors
    II. some singers are males
    III. some males are actors
    IV. No singers are males
    a) only either II or IV & III follows
    b) only either II or IV & I follows
    c) only either I or II & IV follows
    d) none follow
    e) none of these

  27. rahul shah

    sir my ques is
    some clocks are mobiles.no torch is a clock.all lamps are torches.
    conclusion1:some lamps being clocks is a possibility.
    con2:No mobile is a torch.
    1:Either 1 or 2 follows
    2:only 2 follows
    3:both 1 and 2 follows
    4:only 1 follows
    5:neither 1 or 2 follows
    plz provide ans with sol and specify about being statement.

    1. Rakeysh

      5:neither 1 or 2 follows
      for conclusion 1:
      all lamps are torches.—–A
      no torch is a clock———–E
      A+E=E;
      Conclsion comes- No lamps are clock—-E, hence conclusion 1 not possible.
      For conclusion 2:
      no torch is a clock—-E
      some clocks are mobiles——–I
      E+I=O*
      i.e. some mobile r not torch.===this doesnt mean “No mobile is a torch.”

      hence neither follows

      1. Sunil Chand

        Rakeysh is there any order to solve Syllogism question i mean 1 and 2 or 2 and 3

        plz explain this question with this formula method you are using .

        Some keys are staplers. Some staplers are stickers. All the stickers are pens.

        Some pens are staplers.
        Some stickers are keys.
        No sticker is key.
        Some staplers are keys.

        A. Only (1) and (2)
        B. Only (2) and (4)
        C. Only (2) and (3)
        D. Only (1) and (4) and either (2) or (3)

        Thanks in advance

  28. karthi

    sir i want to know about when the possibility statement is correct and when atleast some is correct please explain it sir…

  29. pulkit

    Some clips are copies. Some copies are magazines. No magazines is a dictionary.
    Conclusions:
    1. No copies are dictionary.
    2. Some copies are dictionary.
    3. Some copies are not dictionary.
    4. No clips are magazines.

    only 3 follows
    only either 1 or 2&3 follows
    only 1 follows
    only either 1 or 2 follows

    correct answer ?

  30. anil

    sir , i am using ven diagram to find relation , i am correlate relation much faster , is there any disadvantage to that ????

  31. Geet

    Statements : All married are men, Some men are educated
    conslusions: some married are educated, some educated are married

    If i arrange it in the form A to B and B to C it becomes

    Some married are men
    some men are educated
    so two particulars equal to no conclusion

    but in RS Agarwal reasoning book it is given both conclusion follows

    how is that possible? guys please someone help me

  32. ravi

    question typo error.

    All married are men, Some men are educated
    conslusions: some married are educated, some educated are married

  33. aks

    please explain the answer of below question…

    statements:
    1)all star are bottles
    2)some bottles are papers
    3)no paper is a calendar

    conclusions
    1)atleast some calendars are bottles
    2)no calendar is a star

    options
    1)only conclucion 1 follow
    2)only conclucion 2 follow
    3)either 1 or 2 follow
    4)neither 1 or 2 follow
    5)both 1 and 2 follow

  34. Sunil Chand

    Anyone plz plz help me .. i have tried so hard to learn syllogism but still not able to solve them clearly . i am solving using formula to solve them for example question

    All the locks are keys. All the keys are bats. Some watches are bats.

    Conclusions:

    Some bats are locks.
    Some watches are keys.
    All the keys are locks.

    A. Only (1) and (2)
    B. Only (1)
    C. Only (2)
    D. Only (1) and (3)

    My steps to solve this question is

    1 ) combine first and second statement that is
    All the locks are keys.
    All the keys are bats.

    then conclusion is : All the locks are bats using All +All= All formula

    Now Come to the second and third statement

    All the keys are bats.
    Some watches are bats.

    Now i convert third statement to something like : Some bats are watches to make 2 and 3 statement in the form of A-B /B-C

    then according to rule All +Some = No Conclusion.

    and at last i followed Conversions like (all’ can be converted to ‘some’
    ‘some can be converted to ‘some’ .
    ‘no’ can be converted to ‘no’. ) to see if any conclusion matches the conversion .

    according to me answer should be * None Follows .. which is not in the option :(

    Guys plz help me to solve this and correct me which step i am doing wrong …

    Thanks in Advance.

  35. SANJAY

    If the statement is given :
    Statements: All eraser are not sharpener.

    Conclusions:
    some sharpener not being eraser is a possibility.

    True or Fales ? plssssss reply

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