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πŸ“š Part of: Inference & Conclusion guide

Syllogisms: All, Some, No and the Venn Method

Two lines of All, Some or No, and conclusions that all look right. Draw the smallest picture the statements allow, then try to break each conclusion. If you can't, it follows.

AU ✍ Written by Amitesh Upadhyay · MSc Mathematics, IIT Delhi
AU βœ” Reviewed by Aswani Upadhyay Β· MA (Computer Science & English), Delhi University
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Practise Inference & Conclusion drills β†’
πŸ“‘ On this page
⚑ The 20-second answer
A syllogism gives you two or three All / Some / No statements and asks which conclusions are forced. Draw the smallest Venn the statements allow and ask of each conclusion: is it true in every picture? Then it follows. In only some? Merely possible. The number one trap: 'some' never means 'some are not'.
🎬 The 30-second story
The black coffee theory
1
β€œEvery AIR-1 drinks black coffee. I drink black coffee. So I'm basically a topper.”
β˜•
Aarav
Aarav, 11 pm, third cup.
2
β€œWait. Does that actually follow?”
πŸ“
Meher
Meher, mid-mock in the hostel.
3
β€œToppers sit inside the coffee circle. So do you. Nothing puts you inside the topper one.”
β­•
Zoya
Zoya's red pen, on a napkin.
4
β€œMy uncle drinks black coffee. Failed his driving test twice.”
πŸ“±
Rohan
Rohan has a counterexample.
Tara's verdict: 'All toppers are coffee drinkers' puts toppers inside coffee drinkers. Being in the big circle says nothing about the small one. A conclusion follows only if it holds in every picture the lines allow, and Rohan's uncle is a picture where Aarav's fails.

How does CLAT word syllogism questions?

CLAT 2018 asked them the classic way: statements, conclusions, which follow. CLAT 2019 ran the test backwards and added one-liners on valid versus true. Since 2020 the same moves hide inside passages.

The stem saysIt really asksFirst move
'Presume that whatever statements given are true' (2018)Ignore real life.Draw the lines, nothing you know.
'Which conclusion(s) follow?'True in every drawing?Try to break each one.
'The third can be logically derived from the preceding two' (2019)The same test, backwards.Find the shared middle term.
'Logically valid / invalid / true / false' (2019)Does the link hold?Judge the form, not the facts.
β†’ scroll to see more

What do All, Some, No and Some-not really mean?

Four shapes, four fixed pictures. All A are B: A inside B. No A are B: apart. Some A are B: at least one in the overlap. Some A are not B: one A outside B. Nothing more is promised.

🎚️ The scale
How much does each word promise?
← Nothing sharedFully inside β†’
No
e.g. No reels are podcasts
Some not
e.g. Some memes are not funny
Some
e.g. Some memes are funny (maybe all)
All
e.g. All memes are reels
πŸ“Œ 'Some' means at least one, possibly all
'Some students are hostellers' does not say some aren't. It could be every student. Treat most, many and a few as plain 'some'.

Which statements can you flip?

Flipping is your first free conclusion. No flips to No. Some flips to Some. All A are B flips only to Some B are A. Some-not doesn't flip at all. Aarav tried to flip an All into an All.

β­• Venn check
All flips into Some, never into All
ToppersCoffee drinkers
Statements
  • β–ΈAll toppers are coffee drinkers
Conclusions
  • Some coffee drinkers are toppers
    βœ… Definitely follows β€” toppers sit inside, so the overlap is never empty
  • All coffee drinkers are toppers
    πŸ€” Possible, not certain β€” Aarav's mistake: true only if the circles coincide
shaded = emptyΓ— = at least one lives here

How do you solve any syllogism with the Venn method?

  1. 1
    Translate
    Rewrite each line as All / Some / No / Some-not. 'Only toppers get medals' = All medal-winners are toppers.
  2. 2
    Draw the minimum
    Shade for All and No, one Γ— per Some. Leave the rest open.
  3. 3
    Try to break it
    Redraw, obeying every line, so the conclusion is false. Can't? It follows.
  4. 4
    Sort the leftovers
    Could go either way? Possible. Then look for an either-or pair.
If the statements are…Then…Example
Both 'some'Nothing definite about the end termsSome A are B + Some B are C
Both negativeNothing definite about the end termsNo A are B + No B are C
One 'some'Only a 'some' can followSome A are B + All B are C β†’ Some A are C
One negativeOnly a negative can followAll A are B + No B are C β†’ No A are C
β†’ scroll to see more
πŸ’‘ Shortcuts filter; the drawing proves
Use the rules to kill options in seconds. When two survive, sketch. Every 2018 and 2019 syllogism fell to one quick three-circle sketch.

Which syllogism traps catch everyone?

Either-or: neither follows, but one must

When neither conclusion follows alone, look for a complementary pair: same two terms, exactly one true in any world. The pairs are Some / No and All / Some-not.

β­• Venn check
Either-or: one of these must be true
Γ—Γ—ReelsMemesTrends
Statements
  • β–ΈSome reels are memes
  • β–ΈSome memes are trends
Conclusions
  • Some reels are trends
    πŸ€” Possible, not certain β€” two 'some' lines never link reels to trends
  • No reels are trends
    πŸ€” Possible, not certain
shaded = emptyΓ— = at least one lives here

Neither follows alone, but exactly one must be true: 'Either I or II'.

⚠️ Either-or needs both conditions
Both must fail alone and form a true pair. 'Some reels are trends' and 'All reels are trends' are no pair: both can be true, or both false. Then it's 'Neither'.

'Is a possibility' conclusions

For 'X is a possibility', flip your test. It is right if even one legal drawing makes X true. It fails only when the statements forbid X outright.

β­• Venn check
Possible, impossible, forced
PhonesGadgetsToys
Statements
  • β–ΈAll phones are gadgets
  • β–ΈNo gadgets are toys
Conclusions
  • Some phones are toys
    ❌ Does not follow β€” impossible, so 'is a possibility' fails too
  • All gadgets are phones
    πŸ€” Possible, not certain β€” not banned: as a possibility, true
  • Some toys are not phones
    βœ… Definitely follows
shaded = emptyΓ— = at least one lives here

Is a valid argument always true?

No. Validity is about the link: if the premises were true, the conclusion would have to be. Truth is about the world. Only a valid argument with true premises (a sound one) guarantees a true conclusion.

βš”οΈ Side by side
Valid is not the same as true
πŸ”—Valid
the link holds
  • β€’Conclusion forced by the premises
🌍True
matches reality
  • β€’A fact about the world
TestValidTrue
All men are chairs; John is a man; so John is a chairValid βœ“Conclusion false
All men are mortal; Victoria is a woman; so Victoria is mortalInvalid βœ—Conclusion true

'Presume the statements are true' is a validity instruction.

Can you crack these syllogisms in 40 seconds?

✍️ Worked example Warm-up ⏱ 30 sec
The mentor and the poet
All coaches are mentors. Some mentors are poets.
I. Some coaches are poets. II. Some poets are mentors.
  1. 1
    Draw: coaches inside mentors; one Γ— where mentors meet poets, on the coach boundary.
  2. 2
    Break I: push the Γ— outside coaches. Every line still holds. Not forced.
  3. 3
    Break II: you can't. It's a flip of line 2.
Answer: Only II follows.
⚑ The exam-hall shortcut
The 'some' line never touches coaches, so I can't follow. II is a flip.
✍️ Worked example CLAT level ⏱ 40 sec
Reels, memes and podcasts
All memes are reels. No reels are podcasts.
I. No memes are podcasts. II. Some podcasts are not memes. III. All reels being memes is a possibility.
  1. 1
    Translate: All + No, so any definite conclusion is negative.
  2. 2
    Draw: memes inside reels; reels and podcasts apart.
  3. 3
    I and II: memes never reach podcasts, and podcasts exist outside reels, so outside memes. Both forced.
  4. 4
    III: nothing bans memes filling the reel circle. True.
Answer: All three follow.
⚑ The exam-hall shortcut
All + No gives 'No first are third'. For a possibility, ask only: is it banned?
β­• Venn check
Worked example 2, drawn
MemesReelsPodcasts
Statements
  • β–ΈAll memes are reels
  • β–ΈNo reels are podcasts
Conclusions
  • No memes are podcasts
    βœ… Definitely follows
  • Some podcasts are not memes
    βœ… Definitely follows
  • All reels are memes
    πŸ€” Possible, not certain β€” so the possibility claim is true
shaded = emptyΓ— = at least one lives here
✍️ Worked example Tricky ⏱ 45 sec
The batsman who keeps
Some batsmen are bowlers. No bowler is a keeper.
I. Some batsmen are keepers. II. No batsman is a keeper. III. Some batsmen are not keepers.
  1. 1
    Translate: Some + No. Only a negative can be definite.
  2. 2
    Draw: Γ— where batsmen meet bowlers; bowlers and keepers apart.
  3. 3
    III: the batsman who bowls can't keep. Forced.
  4. 4
    I, II: neither forced, but they are a Some/No pair.
Answer: III follows, and either I or II follows.
⚑ The exam-hall shortcut
Some + No always gives 'Some first are not third'. Then spot the pair.
✍️ Worked example CLAT level ⏱ 60 sec
The fest volunteer policy
A law school fest committee announced that every student who volunteers will receive a certificate, and that certificates will be issued only to students who attended the August safety orientation. Some first-years have already registered as volunteers. Critics said many second-years missed the orientation.

Which must be true? (A) Every first-year attended the orientation. (B) Some first-years attended it. (C) Everyone who attended will volunteer. (D) No second-year will get a certificate.
  1. 1
    Translate: All volunteers get certificates. All certificate holders attended ('only to' flips the order). Some first-years are volunteers.
  2. 2
    Draw: volunteers inside certificate holders inside attendees; a Γ— where first-years meet volunteers.
  3. 3
    B: that Γ— is a first-year inside attendees. Forced.
  4. 4
    A turns some into every. C flips an All. D treats 'many' as 'all'.
Answer: B
⚑ The exam-hall shortcut
'Only' flips the order; then Some + All + All gives 'Some first are last'.

How has CLAT asked syllogisms?

πŸ“ Asked in CLAT 2018 Β· Q107 Some + All
Directions: Read the statements and presume that whatever statements given are true. On the basis of that, choose the most appropriate conclusion(s) given below. Statements: Some rats are cows. All cows are animals. Conclusions: I. All rats are animals II. Some animals are rats

Choose the most appropriate option.

AOnly Conclusion I follows
BOnly Conclusion II follows
CBoth Conclusions I and II follow
DNeither Conclusion I nor Conclusion II follows.
Reveal answer + reasoning
Answer: B
The cow-rats sit inside cows, which sit inside animals, so Some animals are rats is forced. Other rats are left open, so I is not. Answer B.
Why the others fail
  • A β€” True in biology, which is the trap. 'Presume' means only the printed lines count.
  • C β€” Needs I.
  • D β€” II is forced.
β­• Venn check
CLAT 2018 Q107, drawn
Γ—RatsCowsAnimals
Statements
  • β–ΈSome rats are cows
  • β–ΈAll cows are animals
Conclusions
  • All rats are animals
    πŸ€” Possible, not certain
  • Some animals are rats
    βœ… Definitely follows
shaded = emptyΓ— = at least one lives here
πŸ“ Asked in CLAT 2018 Β· Q108 Four terms
Directions: as in Q107. Statements: All the students are young. All the teens are young. Some men are teens. Conclusions: I. Some students are teens. II. Some young are students. III. Some young are men.

Choose the most appropriate option.

AOnly (I) follows
BOnly (II) and (III) follow
COnly (I) and (II) follow
DOnly (I) and (III) follow
Reveal answer + reasoning
Answer: B
Test each conclusion with only its sets. II: students sit inside young. Forced. III: the men who are teens are young. Forced. I: students and teens both sit inside young, but nothing makes them meet. Answer B.
Why the others fail
  • A β€” I is the one that fails.
  • C β€” Includes I.
  • D β€” Includes I, drops II.
β­• Venn check
Q108: two circles inside 'young'
StudentsYoungTeens
Statements
  • β–ΈAll students are young
  • β–ΈAll teens are young
Conclusions
  • Some students are teens
    πŸ€” Possible, not certain β€” two inner circles may or may not overlap
  • Some young are students
    βœ… Definitely follows
shaded = emptyΓ— = at least one lives here
πŸ“ Asked in CLAT 2019 Β· Q31 Reverse syllogism
Instructions: Choose the set of three statements where the third statement can be logically derived from the preceding two. 1. Some students love reading. 2. Some adults do not love reading. 3. Some students are not adult. 4. Some students are adult. 5. No reading lover is an adult. 6. Some men do not love reading.

The set of statements is:

A1, 3, 4
B1, 5, 3
C1, 2, 4
D6, 2, 4
Reveal answer + reasoning
Answer: B
Our solution (CLAT 2019 has no official key). Read each option as premise, premise, conclusion. B: some students love reading; no reading lover is an adult; so some students are not adult. Answer B.
Why the others fail
  • A β€” Two 'some' lines give nothing definite.
  • C β€” Two 'some' lines again.
  • D β€” Two particular negatives, and students appear in neither premise.
πŸ“ Asked in CLAT 2019 Β· Q37 Valid vs true

'All men are mortal and Victoria is a woman and hence Victoria is mortal'. This statement is:

ALogically Valid
BLogically Invalid
CLogically True
DLogically False
Reveal answer + reasoning
Answer: B
Our solution. The premise covers men; Victoria is placed among women. Nothing links women to mortality, so the conclusion isn't forced, though it's true in life. A true conclusion through a broken link is invalid. Answer B.
Why the others fail
  • A β€” Valid would need 'all women are mortal'.
  • C β€” The conclusion is true; the reasoning isn't.
  • D β€” Nothing contradicts itself.

Also asked in 2019 (our solutions): Q32 D (all boys are girls, all girls need books, so all boys need books); Q33 C; Q38 A, 'John Doe is a chair': absurd, and valid.

What do most students get wrong about syllogisms?

πŸ’₯ Myth vs fact
Myth vs fact: syllogisms
πŸ™… Myth
'Some students are hostellers' means some are not.
Tap to bust it β†’
βœ… Fact
'Some' means at least one, maybe all. Never add a some-not.
πŸ™… Myth
If a conclusion is true in real life, it follows.
Tap to bust it β†’
βœ… Fact
2018 Q107's 'All rats are animals' is true in biology and wrong in the syllogism.
πŸ™… Myth
When neither follows, pick 'either I or II'.
Tap to bust it β†’
βœ… Fact
Only for a Some/No or All/Some-not pair on the same terms.

Can you beat these five syllogisms?

🎯 Quick quiz
Syllogism quiz
0 / 5

Q1. All pens are blue. Some blue things are cheap. I. Some pens are cheap. II. Some cheap things are blue.

Q2. No apps are free. All games are apps. I. No games are free. II. Some apps are games.

Q3. Some cafΓ©s are bookshops. Some bookshops are libraries. I. Some cafΓ©s are libraries. II. No cafΓ© is a library.

The coaching centre's notice reads: 'Every student shortlisted for the moot court team has cleared the research test. None of the students who cleared the research test skipped the mock series. Some debaters have been shortlisted for the moot court team.' Aarav tells Meher that the debaters must be the hardest-working batch in the centre, since all of them clearly sat every mock.

Q4. Based only on the notice, which must be true?

Rohan forwards a message to the family group: 'All superfoods cure anxiety. Ragi is a superfood. So ragi cures anxiety. Forward to ten people!' Zoya replies that the first line is false, because plenty of so-called superfoods do nothing for anxiety. Rohan answers, 'Then my logic must be wrong too.' Meher, who is preparing for CLAT, is asked to settle it.

Q5. Which assessment is most accurate?

🎯 Syllogisms in a nutshell
  • Follows = true in every drawing the lines allow.
  • All flips to Some; Some to Some; No to No; some-not never.
  • Some + All β†’ Some; All + No β†’ No; Some + No β†’ some-not.
  • Two 'some's or two negatives: nothing definite.
  • Valid is about the link, not the world.
πŸ“Ž Cheat sheet
  • 'Presume the statements are true' β†’ classic syllogism β†’ draw the minimum Venn.
  • 'Which conclusion(s) follow?' β†’ follows-or-possible β†’ try to break each one.
  • '… is a possibility' β†’ possibility β†’ true unless banned.
  • 'Either I or II' option β†’ pair check β†’ Some/No or All/some-not.
  • 'Third derived from the preceding two' β†’ reverse syllogism β†’ find the middle term.
  • 'Valid / invalid / true / false' β†’ validity β†’ judge the link.

Frequently asked questions

What is the easiest way to solve syllogism questions?
Use the Venn method. Rewrite each statement as All, Some, No or Some-not, draw only what the lines force, then try to redraw the picture so each conclusion is false. If you cannot, it follows. Rules like 'two somes give nothing definite' clear options first.
What does a 'possibility' conclusion mean in a syllogism?
It claims only that something could be true. It is right if even one picture obeys every statement and makes it true, and wrong only when the statements rule it out: 'some phones are toys' fails when all phones are gadgets and no gadget is a toy.
When is the answer 'either I or II follows'?
When neither conclusion follows on its own and the two form a complementary pair on the same two terms, so exactly one must be true: 'Some A are B' with 'No A are B', or 'All A are B' with 'Some A are not B'. Otherwise, neither.
Are syllogisms still asked in CLAT?
Standalone sets appeared in CLAT 2018 and 2019. Since 2020 the section is passage-based, but 'must be true' questions often hide an All/Some/No chain inside the prose, and CLAT 2025 brought back a seating set, so short analytical questions can return at any time.

Keep going

πŸ“š
Part of the chapter
Inference & Conclusion in CLAT Logical Reasoning
See how this topic fits the whole of Inference & Conclusion β†’

Connected topics in other chapters

Every topic in Inference & Conclusion

  1. 1.What Is an Inference? β€œCan Be Inferred” Questions in CLAT Logical Reasoning
  2. 2.β€œAccording to the Passage” and β€œWhich Is NOT True” Questions
  3. 3.Main Point, Central Idea and Best Title
  4. 4.β€œThe Author Would Most Likely Agree” Questions
  5. 5.β€œMust Be True” Questions: Valid vs Merely Likely
  6. 6.Statement and Conclusion: Which Conclusion Follows?
  7. 7.Complete the Argument: Fill-in-the-Blank Conclusions
  8. 8.Extreme Words and Scope Traps: β€œAll”, β€œOnly”, β€œAlways”
  9. 9.β€œWhat Does the Author Mean?” Reading One Line Right
  10. 10.Syllogisms: All, Some, No and the Venn Method (you're here)
  11. 11.If, Only If, Unless, Either–Or: Conditional Statements
  12. 12.Seating Arrangement: Linear, Two-Row and Circular
  13. 13.Grid Puzzles: Matching People, Things and Days
  14. 14.Ordering, Ranking and Logical Sequence
  15. 15.β€œMost Likely Outcome” Questions: Applying the Argument

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