# Only a Few Syllogism Questions — Rule, Diagram and Practice | DeducePuzzles

> Only a few syllogism questions explained: “Only a few A are B” means some A are B and some are not. The diagram, what follows, and free verified practice.

Source: https://deducepuzzles.com/reasoning/only-a-few-syllogism

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## Only a few syllogism questions — the two-part rule, with verified practice

“Only a few” arrived in the new-pattern syllogism sets of IBPS and SBI papers and now appears in most mains-level sets. It is easy marks once the two-part meaning is automatic, and a trap when it is read as a plain “some”: the hidden “some are not” half is exactly what the wrong options rely on you forgetting. Start with the [basic syllogism rules](https://deducepuzzles.com/reasoning/syllogism) if the four standard statements are not yet second nature.

### How to solve only a few syllogism questions, step by step

- Split the statement into its two halves
 Rewrite “Only a few A are B” as two lines before you draw anything: “Some A are B” and “Some A are not B”. Every later step works on these two ordinary statements, which you already know how to handle.
- Draw both regions as definitely occupied
 Draw A overlapping B, then mark two regions as non-empty: the part of A inside B, and the part of A outside B. Unlike a plain “some”, the diagram where A sits wholly inside B is not allowed.
- Chain each half separately
 Take the next statement and combine it with each half on its own. With “All B are C”, the inside half gives “Some A are C”. With “No B are C”, the inside half gives “Some A are not C”.
- Strike out the universal and its possibility
 Because some A are definitely not B, “All A are B” can never be true, so it does not follow and nor does “All A being B is a possibility”. “No A are B” fails too, because some A definitely are B.
- Check an “only a few” conclusion against both halves
 When the conclusion itself says “Only a few A are C”, it follows only if “Some A are C” AND “Some A are not C” are both definite from the statements. One definite half is not enough.

### What an only a few statement proves

| Statements | What follows |
| --- | --- |
| Only a few A are B | Some A are B · Some A are not B · Some B are A |
| Only a few A are B | Not “All A are B”, not “No A are B”, not “All A being B is a possibility” |
| Only a few A are B · All B are C | Some A are C (the A inside B is inside C) |
| Only a few A are B · No B are C | Some A are not C (the A inside B is outside C) |
| All A are B · Only a few B are C | Some C are B — but nothing definite between A and C |

### Practise only a few syllogism right now

Every question below was generated by the same engine that mints the DeducePuzzles daily puzzle, and machine-proven to have exactly one correct answer before it reached this page. The walkthrough is the engine's own, step for step.

#### Question 1

Take the three statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows.

Statements: Some orchids are not flowers. All flowers are marigolds. Some marigolds are lotuses.

Conclusion I: Some orchids are marigolds.

Conclusion II: Only a few orchids are flowers.

- Only conclusion I follows
- Only conclusion II follows
- Either conclusion I or II follows
- Neither conclusion I nor II follows
- Both conclusions I and II follow
- Conclusion I ("Some orchids are marigolds") need not follow — the statements allow a situation where it is false.
- Conclusion II ("Only a few orchids are flowers") need not follow — the statements allow a situation where it is false.
- So neither conclusion follows.

#### Question 2

Take the three statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows.

Statements: Some dogs are not cats. No horses are dogs. Only a few cows are horses.

Conclusion I: All dogs being horses is a possibility.

Conclusion II: Some horses are cows.

- Only conclusion I follows
- Only conclusion II follows
- Either conclusion I or II follows
- Neither conclusion I nor II follows
- Both conclusions I and II follow
- Conclusion I ("All dogs being horses is a possibility") does not follow — no situation the statements allow makes it true.
- Conclusion II ("Some horses are cows") is true in every situation the statements allow.
- So only conclusion II follows.

#### Question 3

Take the three statements to be true even if they differ from commonly known facts, then decide which conclusion logically follows.

Statements: No painters are writers. No artists are painters. Only a few players are artists.

Conclusion I: No writers are artists.

Conclusion II: Some writers are players.

- Only conclusion I follows
- Only conclusion II follows
- Either conclusion I or II follows
- Neither conclusion I nor II follows
- Both conclusions I and II follow
- Conclusion I ("No writers are artists") need not follow — the statements allow a situation where it is false.
- Conclusion II ("Some writers are players") need not follow — the statements allow a situation where it is false.
- So neither conclusion follows.

### Common mistakes

#### Reading “only a few” as a plain “some”

A plain “Some A are B” allows every A to be B. “Only a few” forbids that. Treat the two as the same and you will wrongly accept “All A being B is a possibility”, a favourite distractor.

#### Chaining the wrong half

Only the half inside B carries forward through a statement about B. The half outside B says nothing about C at all, so “Only a few A are B · All B are C” gives no “Some A are not C”.

#### Accepting an “only a few” conclusion on one half

If the statements prove “Some A are C” but leave open whether every A is C, the conclusion “Only a few A are C” does not follow. Both halves must be forced.

### Keep the streak going

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### FAQ

#### What does “only a few” mean in syllogism?

“Only a few A are B” means some A are B and some A are not B, both at once. It is stronger than “some”, because it rules out the case where every A is B, and stronger than “some are not”, because it rules out the case where no A is B.

#### Does “only a few A are B” give “some B are A”?

Yes. Its first half, “Some A are B”, reverses safely to “Some B are A”. Its second half, “Some A are not B”, does not reverse — it tells you nothing about whether some B are not A.

#### Is “all A being B is a possibility” true after an only a few statement?

No. The statement guarantees that some A are outside B, so there is no diagram in which every A is inside B. With no such diagram, the possibility conclusion does not follow.

#### How are only a few questions different in the exam?

They mostly appear in mains-level sets with three statements and four terms, mixed with ordinary statements. The method does not change: split “only a few” into its two halves, then solve the rest exactly as a standard syllogism.

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