Syllogism questions

Reasoning Updated 11 Oct 2026

These syllogism questions help you practise the statement and conclusion pattern used in bank, SSC and other competitive exams. There are 34 solved syllogism reasoning questions, each with a short Venn diagram style explanation.

The page starts with basic two-statement questions, then moves to possibility cases, three-statement questions and pick-the-conclusion questions. Treat every statement as true even if it sounds odd in real life, and judge each conclusion only from what the statements say.

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Basic syllogism questions with two statements

Q1. Statements: All pens are books. All books are tables. Conclusions: I. All pens are tables. II. Some tables are pens.
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Answer: C. Both I and II follow
All pens are inside books and all books are inside tables, so all pens are tables. Since pens exist, some tables are pens too.
Q2. Statements: Some cats are dogs. All dogs are rats. Conclusions: I. Some cats are rats. II. All rats are cats.
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Answer: A. Only conclusion I follows
The cats that are dogs are also rats, so some cats are rats. Nothing says every rat is a cat, so II does not follow.
Q3. Statements: No lemon is a mango. All mangoes are grapes. Conclusions: I. No lemon is a grape. II. Some grapes are not lemons.
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Answer: B. Only conclusion II follows
Lemons may still overlap with the part of grapes outside mangoes, so I does not follow. The grapes that are mangoes can never be lemons, so some grapes are not lemons.
Q4. Statements: Some boys are girls. Some girls are teachers. Conclusions: I. Some boys are teachers. II. No boy is a teacher.
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Answer: C. Either I or II follows
Two 'some' statements give no definite link between boys and teachers. But I and II form a complementary pair on the same terms (some and no), so one of them must be true.
Q5. Statements: All doctors are engineers. No engineer is a lawyer. Conclusions: I. No doctor is a lawyer. II. Some lawyers are doctors.
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Answer: A. Only conclusion I follows
Doctors lie fully inside engineers, and engineers never meet lawyers, so no doctor is a lawyer. II contradicts this.
Q6. Statements: Some chairs are tables. No table is a bed. Conclusions: I. Some beds are chairs. II. Some chairs are not beds.
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Answer: B. Only conclusion II follows
The chairs that are tables can never be beds, so some chairs are not beds. Beds may or may not touch the remaining chairs, so I is not certain.
Q7. Statements: All roses are flowers. Some flowers are singers. Conclusions: I. Some roses are singers. II. All singers are flowers.
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Answer: D. Neither I nor II follows
The singers that are flowers may lie outside roses, so I is not certain. Only some singers are flowers, so II does not follow either.
Q8. Statements: No stone is a brick. Some bricks are walls. Conclusions: I. Some walls are not stones. II. No wall is a stone.
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Answer: A. Only conclusion I follows
The walls that are bricks can never be stones, so some walls are not stones. Other walls may still be stones, so II is not certain.
Q9. Statements: All birds are animals. Some animals are players. Conclusions: I. All animals are birds. II. Some animals are birds.
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Answer: B. Only conclusion II follows
All birds are animals, so some animals are birds (conversion of 'All'). Animals may be wider than birds, so I does not follow.
Q10. Statements: Some phones are laptops. Some laptops are watches. Conclusions: I. Some watches are phones. II. No watch is a laptop.
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Answer: D. Neither I nor II follows
Two 'some' statements cannot connect phones and watches, so I is not certain. II directly contradicts 'Some laptops are watches'.
Q11. Statements: All rings are fruits. All fruits are seeds. Conclusions: I. Some seeds are rings. II. All rings are seeds.
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Answer: C. Both I and II follow
Rings lie inside fruits, which lie inside seeds, so all rings are seeds. Converting this, some seeds are rings.
Q12. Statements: No river is a lake. No lake is a sea. Conclusions: I. No river is a sea. II. Some seas are rivers.
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Answer: C. Either I or II follows
Two negative statements give no conclusion about rivers and seas. 'No river is a sea' and 'Some seas are rivers' form a complementary pair, so either I or II follows.

Possibility based syllogism questions

Q13. Statements: All kites are toys. Some toys are balls. Conclusions: I. Some kites being balls is a possibility. II. All toys being kites is a possibility.
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Answer: C. Both I and II follow
Kites and balls are not linked, so some kites being balls is possible. Toys can be drawn to coincide with kites without breaking any statement, so II is also possible.
Q14. Statements: No bag is a box. All boxes are cartons. Conclusions: I. Some bags being cartons is a possibility. II. All bags being boxes is a possibility.
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Answer: A. Only conclusion I follows
Bags can overlap the part of cartons outside boxes, so I is possible. 'No bag is a box' rules out II completely.
Q15. Statements: Some pencils are erasers. No eraser is a sharpener. Conclusions: I. All pencils being sharpeners is a possibility. II. Some sharpeners being pencils is a possibility.
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Answer: B. Only conclusion II follows
If all pencils were sharpeners, the pencils that are erasers would be sharpeners, which breaks the second statement, so I is impossible. Sharpeners can still meet the other pencils, so II is possible.
Q16. Statements: All trees are plants. No plant is a stone. Conclusions: I. Some trees being stones is a possibility. II. All stones being trees is a possibility.
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Answer: D. Neither I nor II follows
Trees lie inside plants and no plant is a stone, so no tree can ever be a stone. Both possibilities break this, so neither follows.
Q17. Statements: Some cups are plates. Some plates are spoons. Conclusions: I. All cups being spoons is a possibility. II. No spoon is a cup.
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Answer: A. Only conclusion I follows
Cups and spoons are not linked, so all cups being spoons is possible. II is a definite claim that cannot be proved from two 'some' statements.
Q18. Statements: All shirts are dancers. Some dancers are coaches. Conclusions: I. All coaches being shirts is a possibility. II. Some dancers are shirts.
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Answer: C. Both I and II follow
All coaches can be placed inside shirts without breaking either statement, so I is possible. All shirts are dancers, so some dancers are shirts.
Q19. Statements: No coin is a note. Some notes are cards. Conclusions: I. All cards being coins is a possibility. II. Some notes are not coins.
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Answer: B. Only conclusion II follows
If all cards were coins, the notes that are cards would be coins, which is not allowed, so I is impossible. No note is a coin, so some notes are certainly not coins.
Q20. Statements: All trains are engines. All engines are wheels. Conclusions: I. All wheels being trains is a possibility. II. Some wheels are not trains.
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Answer: A. Only conclusion I follows
Trains, engines and wheels can all be the same set, so all wheels being trains is possible. For the same reason, 'Some wheels are not trains' is not certain.

Syllogism questions with three statements

Q21. Statements: All lions are tigers. Some tigers are bears. No bear is a wolf. Conclusions: I. Some tigers are not wolves. II. Some lions are bears.
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Answer: A. Only conclusion I follows
The tigers that are bears can never be wolves, so some tigers are not wolves. Lions and bears are not linked, so II is not certain.
Q22. Statements: Some books are pages. All pages are words. All words are letters. Conclusions: I. Some books are letters. II. All pages are letters.
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Answer: C. Both I and II follow
Pages lie inside words, which lie inside letters, so all pages are letters. The books that are pages are therefore letters too.
Q23. Statements: No hill is a mountain. All mountains are rocks. Some rocks are trees. Conclusions: I. Some hills are rocks. II. Some rocks are not hills.
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Answer: B. Only conclusion II follows
Hills may or may not meet rocks outside mountains, so I is not certain. The rocks that are mountains can never be hills, so some rocks are not hills.
Q24. Statements: All cups are mugs. All mugs are glasses. No glass is a bottle. Conclusions: I. No cup is a bottle. II. Some bottles are mugs.
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Answer: A. Only conclusion I follows
Cups lie inside mugs, which lie inside glasses, and no glass is a bottle, so no cup is a bottle. II contradicts 'No glass is a bottle'.
Q25. Statements: Some fans are coolers. Some coolers are heaters. Some heaters are lamps. Conclusions: I. Some lamps are fans. II. Some heaters are fans.
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Answer: D. Neither I nor II follows
Three 'some' statements in a chain give no definite link between non-adjacent terms, so neither conclusion follows.
Q26. Statements: All pins are needles. Some needles are threads. All threads are actors. Conclusions: I. Some needles are actors. II. Some pins are threads.
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Answer: A. Only conclusion I follows
The needles that are threads are also actors, so some needles are actors. Pins and threads are not linked, so II is not certain.
Q27. Statements: No desk is a bench. Some benches are stools. All stools are leaves. Conclusions: I. Some leaves are benches. II. Some leaves are not desks.
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Answer: C. Both I and II follow
The stools that are benches are leaves, so some leaves are benches. Those same leaves are benches, so they cannot be desks, which means some leaves are not desks.
Q28. Statements: All jars are pots. No pot is a pan. Some pans are trays. Conclusions: I. Some trays are not jars. II. Some trays are not pots.
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Answer: C. Both I and II follow
The trays that are pans cannot be pots, so some trays are not pots. Since every jar is a pot, those trays are not jars either.
Q29. Statements: Some keys are locks. All locks are doors. No door is a gate. Conclusions: I. All keys are doors. II. Some doors are not gates.
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Answer: B. Only conclusion II follows
Only some keys are locks, so not every key has to be a door. No door is a gate, so some doors are not gates.
Q30. Statements: All oceans are seas. All seas are roots. Some roots are ponds. Conclusions: I. Some ponds are oceans. II. No pond is an ocean.
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Answer: C. Either I or II follows
Ponds touch roots but not necessarily seas or oceans, so neither statement is certain alone. 'Some ponds are oceans' and 'No pond is an ocean' are a complementary pair, so either I or II follows.

Pick the conclusion that definitely follows

Q31. Statements: All lions are tigers. All tigers are bears. Which conclusion definitely follows?
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Answer: D. All lions are bears
All lions are tigers and all tigers are bears, so all lions are bears.
Q32. Statements: Some plants are leaves. No leaf is a stone. Which conclusion definitely follows?
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Answer: D. Some plants are not stones
The plants that are leaves can never be stones, so some plants are not stones.
Q33. Statements: No singer is an actor. All dancers are actors. Which conclusion definitely follows?
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Answer: B. No dancer is a singer
Dancers lie inside actors and no actor is a singer, so no dancer is a singer.
Q34. Statements: All players are coaches. Some players are teachers. Which conclusion definitely follows?
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Answer: D. Some coaches are teachers
The players who are teachers are also coaches, so some coaches are teachers.

How to prepare

Solve syllogism questions with Venn diagrams. Draw a circle for each term and place it according to the statement: 'All A are B' puts A fully inside B, 'Some A are B' makes the circles overlap, and 'No A is B' keeps them apart. A conclusion follows only if it is true in every possible diagram. For a possibility conclusion, it is enough to find one valid diagram where it is true, as long as no statement is broken.

Two quick rules save time. Two 'some' statements in a chain never give a definite conclusion, and two negative statements never give one either. When neither conclusion is certain but the pair is 'Some A are B' and 'No A is B' (or 'All A are B' and 'Some A are not B'), the answer is 'Either I or II follows'.

Study tips

Draw the most basic Venn diagram first, then try to break each conclusion with a second diagram.
Remember that 'All A are B' always gives 'Some B are A', but never 'All B are A'.
Check for a complementary pair before choosing 'Neither follows', because exams expect 'Either I or II' in that case.

Questions people ask

How do I solve syllogism questions quickly?

Draw a Venn diagram for the statements and test each conclusion against every possible arrangement. A conclusion follows only if no valid diagram can make it false.

What is a possibility conclusion in syllogism?

A possibility conclusion follows if there is at least one valid diagram in which it is true without breaking any statement. It does not need to be true in every case.

When is the answer 'Either I or II follows'?

When neither conclusion is definite on its own, both are about the same two terms, and together they cover every case, such as 'Some A are B' and 'No A is B'. One of the two must then be true.

Are syllogism questions asked in bank exams?

Yes, syllogism is a regular topic in the reasoning section of bank PO and clerk exams, and it also appears in SSC and insurance exams. Newer papers often include 'only a few' and possibility based questions.

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