"All athletes are disciplined." Given only that, does it follow that "all disciplined people are athletes"? It feels tempting — but no, it's a logical trap. Statement-and-conclusion questions test whether a proposed conclusion is forced by a given statement or merely sounds like it fits. The skill is a precise, almost mechanical one: check whether the conclusion must be true whenever the statement is true. Master it and you'll never again be fooled by a reversed or overgeneralized claim. This chapter shows you how.
Statement-and-conclusion questions give you one or more statements, followed by proposed conclusions, and ask which conclusion(s) logically follow. Unlike open-ended logical reasoning, these often test formal validity strictly — the conclusion must follow necessarily, not just plausibly. There are also practical/real-world versions that call for conservative, common-sense reading.
On the Civil Service Exam, these appear in Analytical Reasoning, closely tied to Syllogisms and Logical Reasoning. They reward the discipline of evaluating each conclusion independently and strictly against the statement — a skill that also sharpens your reading and argument judgment.
The difficulty is intermediate. The keys are to treat "follows" as "guaranteed," avoid the reversal and overgeneralization traps, understand that "some" is weaker than it sounds, use contrapositive consistency, and evaluate conclusions one at a time. This lesson builds each.
After completing this lesson you will be able to:
You should be comfortable with:
A quick refresher on the definition that governs everything: a conclusion "follows" only if it must be true whenever the statement is true — no exceptions, no extra assumptions. If you can picture the statement being true while the conclusion is false, it does not follow. This is the same "must be true, not could be true" standard from Logical Reasoning, applied to short statement-conclusion pairs. Keep this strict test front and center.
Rigorous evaluation of claims is a core thinking skill:
The exam tests this because drawing only valid conclusions from given information is a foundation of clear thinking.
Let's build the strict-evaluation discipline.
A conclusion follows only if it must be true whenever the statement is true — with no exceptions and no added assumptions.
Statement: "All athletes are disciplined." Conclusion A: "All disciplined people are athletes." → Does NOT follow (reverses the statement; people can be disciplined for other reasons). Conclusion B: "Some disciplined people are athletes." → Follows (every athlete is a disciplined person, so at least some disciplined people are athletes — assuming athletes exist).
Analogy: Think of the statement as a rule and the conclusion as a claim about the rule. The claim only "follows" if the rule forces it — like a locked door forcing you to use the one key that fits. A claim that merely could fit isn't guaranteed.
The most common wrong conclusion takes "All A are B" and concludes "All B are A." This reversal is invalid, even though it feels intuitive. "All athletes are disciplined" does not mean "all disciplined people are athletes" — the disciplined group is larger and includes non-athletes.
Picture the circles: A (athletes) sits inside B (disciplined). You can validly say "some B are A" (the overlap exists), but not "all B are A."
"Some A are B" guarantees only that at least one case exists. It says nothing about the rest of A, and it does not imply "Some A are not B" (or vice versa) without more information.
"Some employees are managers" does not tell you that some employees are not managers — perhaps all of them are (though "some" is usually used when not all, logically it only guarantees "at least one").
Don't over-read "some": it's a minimal claim of existence.
A statement "If A, then B" is logically equivalent to its contrapositive "If not B, then not A." They always have the same truth value. So if a question offers two conclusions that are contrapositives of each other, they must both follow or both not follow. If your analysis says one is valid and the other isn't, recheck — that combination is a contradiction.
"If it's a square, it has four sides" ≡ "If it doesn't have four sides, it's not a square." Both hold together.
Two flavors appear:
Recognize which flavor a question is, and apply the matching standard.
When a question gives two (or more) conclusions, evaluate each one separately against the statement(s). One conclusion being valid does not affect whether another is valid — both, one, or neither may follow. Don't let a verdict on one bleed into the other.
With the discipline built, let's picture, tabulate, and drill.
Statement-conclusion uses validity rules:
| Rule | Verdict |
|---|---|
| All A are B → Some B are A | Follows (if A exists) |
| All A are B → All B are A | Does NOT follow (reversal) |
| Some A are B → some A are not B | Does NOT follow (without more info) |
| If A then B ≡ if not B then not A | Contrapositive (same verdict) |
| Follows | must be true whenever the statement is |
| Strict version | evaluate by set logic |
| Practical version | conservative, common-sense reading |
| Multiple conclusions | evaluate each independently |
| When a conclusion… | Check… |
|---|---|
| reverses "All A are B" to "All B are A" | reject (reversal trap) |
| reads "some" as "most" or "some are not" | reject (over-reading "some") |
| is the contrapositive of another | both must share a verdict |
| adds an assumption not in the statement | reject (not guaranteed) |
| is a real-world idiom/saying | evaluate as a recognized saying |
| is one of two given conclusions | judge it on its own |
Step 1 — Read the statement(s) precisely, noting quantifiers (all/some/no) and any conditional. ↓ Step 2 — For each conclusion, apply the strict test: must it be true whenever the statement is true? ↓ Step 3 — Watch the traps: reversal ("All B are A"), over-read "some," and unstated assumptions. ↓ Step 4 — Use contrapositive consistency to cross-check conditional conclusions. ↓ Step 5 — Evaluate each conclusion independently, and choose the practical or strict standard as the question demands.
Why Step 2 matters most: the strict "must be true" test decides every item. Applying it faithfully — rather than accepting a plausible-sounding conclusion — is the whole skill.
Format: does the conclusion follow?
Example 1. Statement: "All mangoes are fruits." Conclusion: "All fruits are mangoes." Solution: Does not follow — reversal trap. Difficulty: ★☆☆☆☆
Example 2. Statement: "All mangoes are fruits." Conclusion: "Some fruits are mangoes." Solution: Follows — mangoes are fruits, so some fruits are mangoes. Difficulty: ★★☆☆☆
Example 3 (over-reading "some"). Statement: "Some teachers are writers." Conclusion: "Some teachers are not writers." Solution: Does not follow — "some are writers" doesn't guarantee others aren't. Difficulty: ★★★☆☆
Example 4 (valid "some"). Statement: "Some teachers are writers." Conclusion: "Some writers are teachers." Solution: Follows — the overlap works both ways (the teacher-writers are also writer-teachers). Difficulty: ★★★☆☆
Example 5 (no statement). Statement: "No students are lazy." Conclusion: "No lazy people are students." Solution: Follows — "no A is B" is symmetric (students and lazy people don't overlap either way). Difficulty: ★★★☆☆
Example 6 (two conclusions). Statement: "All doctors are graduates." Conclusions: I. "All graduates are doctors." II. "Some graduates are doctors." Thinking: Evaluate each independently. I reverses (invalid); II is the valid "some" (assuming doctors exist). Solution: Only II follows. Difficulty: ★★★★☆
Example 7 (contrapositive). Statement: "If a person is a member, they get a discount." Conclusion: "If a person did not get a discount, they are not a member." Solution: Follows — it's the contrapositive (logically equivalent). Difficulty: ★★★★☆
Example 8 (added assumption). Statement: "All engineers are hardworking." Conclusion: "All hardworking people are successful." Solution: Does not follow — "successful" is a new idea not in the statement. Difficulty: ★★★☆☆
Example 9 (strict, two conclusions). Statement: "Some birds can fly." Conclusions: I. "Some birds cannot fly." II. "All birds can fly." Thinking: "Some can fly" doesn't imply some can't (I invalid) nor that all can (II invalid). Solution: Neither follows. Difficulty: ★★★★☆
Example 10 (chain). Statement: "All A are B. All B are C." Conclusion: "All A are C." Solution: Follows — a valid "all" chain (A inside B inside C). Difficulty: ★★★☆☆
Example 11 (practical/real-world). Statement: "The company gives bonuses only to top performers." Conclusion: "An employee who got a bonus is a top performer." Thinking: "Only to top performers" means bonuses imply top performance — a valid reading. Solution: Follows (the "only" makes the implication one-directional and valid). Difficulty: ★★★★☆
Example 12 (reversal in disguise). Statement: "Every winner received a medal." Conclusion: "Everyone who received a medal is a winner." Thinking: This reverses the statement — medals might also go to others. Solution: Does not follow — reversal trap. Difficulty: ★★★★☆
Does the conclusion follow?
Statement-and-conclusion questions apply one strict rule: a conclusion follows only if it must be true whenever the statement is true. Beware the reversal trap ("All A are B" does not give "All B are A" — only "some B are A"), don't over-read "some" (it means "at least one," nothing about the rest), and reject conclusions that add new terms or assumptions. Use contrapositive equivalence ("If A then B" ≡ "If not B then not A") to cross-check, note that "only" creates a valid one-way implication, and evaluate each conclusion independently. Distinguish strict formal items (pure set logic) from practical ones (conservative common sense). Test strictly, sketch the sets, and judge each conclusion on its own — that's mastery.
| Item | Key point |
|---|---|
| Follows | must be true whenever statement is |
| All A are B | gives "some B are A," not "all B are A" |
| Some A are B | gives "some B are A"; nothing about the rest |
| No A is B | gives "no B is A" (symmetric) |
| Contrapositive | if A→B ≡ if not-B→not-A |
| "Only" | X only to Y → got X ⟹ Y |
| New term in conclusion | does not follow |
| Multiple conclusions | evaluate independently |
What does "the conclusion follows" mean? It means the conclusion must be true in every case where the statement is true — it's guaranteed, with no added assumptions. A merely plausible conclusion doesn't follow.
Why doesn't "All A are B" give "All B are A"? Because A sits inside B; B is the larger group and may include things that aren't A. You can validly say "some B are A" (the overlap), but not "all."
What can I conclude from "Some A are B"? Only that at least one A is a B — and, symmetrically, that some B are A. It does not tell you anything about the other A's, and it doesn't imply "some A are not B."
What is the contrapositive, and why does it matter? "If A then B" is equivalent to "If not B then not A." They always share a truth value, so two conclusions that are contrapositives of each other must both follow or both not follow.
How is the practical version different? Practical/real-world items use common-sense reading rather than pure set logic — prefer conservative interpretations, don't flag well-known sayings as illogical, and avoid reversed causality or tangents.
Tick them all and statement-and-conclusion questions become precise, dependable points — and you'll catch reversed and overgeneralized claims everywhere.
Put it to the test with 1,010 practice questions on this topic.