Statement and Conclusion
~22 min read · AFCAT Reasoning and Aptitude
- Weight: About one mark per AFCAT paper, often two when the items are bundled.
- Method: Treat the statements as fixed facts, test each conclusion on its own, and accept only those that are forced.
- Trap: Conclusions that sound sensible from world knowledge or that are only possible, not forced.
Overview
Statement and Conclusion appears about 1 times per paper across the last four AFCAT solved papers, placing it in the high yield band of Reasoning and Aptitude.
Statement and conclusion is the one place in the AFCAT Reasoning block where the answer is decided by formal logic rather than by puzzle-solving speed. Two short statements are given, followed by two or three candidate conclusions. Your job is to mark which conclusions definitely follow from the statements taken together. The trap is almost always the same — a conclusion that feels right because of common sense, but is not forced by the words on the page.
AFCAT keeps these items lighter than CDS or NDA. Expect simple categorical statements (All, No, Some, Some are not) and rarely more than three terms in play. The difference between a tick and a lost mark is a small habit — read the statements as if you know nothing else about the world, and test each conclusion independently before you look at the options.
Why this topic rewards strict logic, not common sense
Most AFCAT Reasoning topics — series, coding, direction sense — reward speed and pattern memory. Statement and conclusion is different. The setter writes statements that may be obviously false in the real world (All birds are reptiles; No engineer is honest). They do this on purpose, to see whether you can suspend what you know and reason only from the words given.
The test is simple — can you treat a given sentence as an axiom and trace what must follow from it? A conclusion that is true in the real world but not forced by the statements does not follow. A conclusion that sounds odd in the real world but is forced by the statements does follow.
This is why candidates who score well on every other Reasoning topic still drop this mark. They reason with their background knowledge switched on. The item rewards reasoning like a logic engine, with only the words in front of you as input.
The four-step method
Every statement-and-conclusion item, whether it has two conclusions or three, yields to the same four steps. Practise these until they are automatic.
- Treat the statements as fixed fact. Whatever they say is true inside this question. Do not import any outside knowledge — not history, not biology, not common sense. If the statement says All metals float, then metals float for the next 60 seconds.
- Test each conclusion independently. Take Conclusion I on its own. Does it follow from the statements? Mark yes or no. Then take Conclusion II on its own. Repeat. Do not let your answer to one conclusion bias the next.
- Reject any conclusion that adds information. If a conclusion mentions a person, object or property the statements never introduce, or makes a quantitative claim (more than, most, the majority) the statements never support, it does not follow.
- Accept only conclusions that are forced. A conclusion follows only when, given the statements, it must be true. If you can imagine even one situation where the statements hold but the conclusion fails, the conclusion does not follow.
The fourth step is the one most candidates skip. They accept conclusions that are likely or reasonable. The setter is asking for forced, not likely. A 90% probable conclusion still does not follow.
Syllogism basics — the four categorical statements
Almost every AFCAT statement-and-conclusion item uses one of four basic sentence shapes. Memorise them, because every other shape is a variant or a combination.
| Shape | Example | What it asserts | What it does NOT assert |
|---|---|---|---|
| All A are B | All pilots are officers. | Every member of A is also in B. | It does not say every officer is a pilot. The reverse is not given. |
| No A is B | No cadet is a civilian. | The sets A and B do not overlap at all. | It does not say A and B together cover everyone. |
| Some A are B | Some books are novels. | At least one A is also a B. (Some means at least one, possibly all.) | It does not say some A are not B. That is a separate claim. |
| Some A are not B | Some doctors are not surgeons. | At least one A lies outside B. | It does not say some A are B. That is a separate claim. |
Two subtle points decide many marks. First, Some in logic means at least one, possibly all — it is not the same as the English Some which usually means a few. Second, All A are B and Some B are A normally both hold, because if every A sits inside B then those As also count as Bs — so at least one B is an A. This is the source of many forced conclusions.
The Venn-diagram method for syllogisms
When a syllogism has three terms (A, B, C) and you cannot see the answer instantly, draw it. A 30-second Venn diagram defeats almost every AFCAT-level item. The routine is:
- Draw a circle for each set the statements mention.
- Translate each statement into the diagram. All A are B means the A circle sits entirely inside B. No A is B means the A and B circles do not touch. Some A are B means the circles overlap in at least one point. Some A are not B means there is at least one point of A outside B.
- Now look at the conclusion. Does the diagram you drew force it? If you can redraw the diagram differently (still consistent with the statements) and break the conclusion, the conclusion does not follow.
Example. Statements — All cats are mammals; All mammals are animals. Draw a small Cats circle inside a slightly bigger Mammals circle, both inside a still bigger Animals circle. Now check: All cats are animals — yes, the Cats circle sits entirely inside Animals. Some animals are cats — yes, the cats portion is inside Animals, so at least that part of Animals is cats.
Example. Statements — All cats are mammals; Some mammals are pets. Draw Cats inside Mammals. Pets overlaps Mammals but you do not know where. Check: All cats are pets — not forced, because the pets overlap could be entirely outside the cats portion. Some cats are pets — not forced, for the same reason. Neither conclusion follows.
Standard syllogism rules
Drawing diagrams every time is slow. The five rules below cover almost every AFCAT-level combination. Learn them, and use the diagram only as a check.
| Statements given | Forced conclusion | Why |
|---|---|---|
| All A are B + All B are C | All A are C | Chain — A sits inside B, B sits inside C, so A sits inside C. |
| All A are B + No B is C | No A is C | If A is entirely inside B and B is entirely outside C, then A is entirely outside C. |
| Some A are B + All B are C | Some A are C | Those As that are Bs are also Cs, so at least one A is a C. |
| All A are B + Some B are C | Nothing forced about A and C | The Some B are C overlap need not include the A portion of B. |
| No A is B + No B is C | Nothing forced about A and C | Two non-overlaps do not imply a third — A and C could still overlap freely. |
Two helpful add-ons. If you reach All A are C, you can also say Some C are A — because the As inside C make at least one C an A. And if you reach No A is C, you can also say No C is A — non-overlap is symmetric.
Two-statement, two-conclusion items
This is the most common AFCAT shape. Two statements at the top, two candidate conclusions labelled I and II, four answer options — Only I, Only II, Both, Neither. Your job is to evaluate I and II independently.
The trick is to resist the temptation to compare the two conclusions to each other. Do not ask which one is more likely or which sounds better. Take I first. Apply the four-step method. Mark yes or no. Then take II. Apply the four-step method again. Mark yes or no. Combine the two ticks to pick the option.
Common pattern — Statement 1 is a strong All-statement; Statement 2 is a weaker Some-statement. The first conclusion usually tests the chain reading; the second usually tests the reverse direction (Some B are A from All A are B). Both often follow.
Counter-pattern — both statements are negative (No A is B; No B is C). Almost always Neither conclusion follows, because two non-overlaps yield nothing forced about the outer terms. Expect this trap in roughly one item per six.
Two-statement, three-conclusion items
Less common in AFCAT, but it appears. The structure is the same — two statements, three candidate conclusions labelled I, II, III. Options now run Only I, Only II, Only I and II, Only II and III, All follow, None follows, and so on.
The discipline is identical. Test I alone. Test II alone. Test III alone. Then combine. The two added cautions are:
- Do not bias forward. If you have decided I follows and II follows, you may unconsciously want III to follow too so the answer is the clean All. The setter exploits exactly this — III often does not follow, and the answer is Only I and II.
- Watch for paired opposites. Sometimes II says Some A are B and III says Some A are not B. These can both follow in classical logic if the diagram forces an overlap on one side and a non-overlap on the other. But often only one is forced and the other is a trap.
If a three-conclusion item is taking more than 90 seconds, mark your best guess from the two conclusions you are sure about and move on. The marginal mark is not worth two extra missed series problems later.
Possibility-based conclusions — "can be true" vs "is true"
A subset of conclusions are written in possibility language — A may be B, There is a possibility that some A are C, It is likely that. These items test whether you can distinguish forced (must be true) from possible (could be true).
| Conclusion type | Test | AFCAT verdict |
|---|---|---|
| Must be true | The conclusion holds in every diagram consistent with the statements. | Follows. Mark it. |
| Could be true (some possibility) | The conclusion holds in at least one diagram, but fails in at least one other. | Does not follow in standard AFCAT items. AFCAT favours strict necessity. |
| Cannot be true (impossible) | The conclusion contradicts the statements directly or through the diagram. | Does not follow. The opposite would follow. |
Some test series include items where the answer key accepts can be true conclusions when the diagram allows them. AFCAT itself sticks to the stricter reading. Unless the question explicitly uses the phrasing "only a possibility," treat a conclusion as following only when it is forced.
Course-of-action items (occasional)
A course-of-action item gives a situation as the statement (Roads in city X are heavily congested every morning) and asks which of two suggested actions should be taken (I — Build a new ring road. II — Ban private vehicles). AFCAT shows this format rarely, perhaps one item in three or four years.
The decision rule is gentler than for syllogisms. Accept an action if it directly addresses the problem in the statement and is both reasonable and proportionate. Reject actions that are extreme (banning, abolishing), that address only a tiny part of the problem, or that introduce a new problem worse than the first.
For the congestion example, building a ring road addresses the problem — accept. Banning private vehicles is disproportionate and introduces fresh problems — reject. The answer would be Only I follows.
Cause-and-effect items (rare)
Even rarer than course of action. Two events are described and you decide whether one is the cause and the other the effect, whether they share a common cause, or whether they are independent. The standard options are — A is the cause and B is the effect; B is the cause and A is the effect; Both are independent effects of a common cause; Both are independent causes.
For AFCAT it is enough to know the form. If such an item appears, ask first whether one event clearly precedes and explains the other (a flood and crop damage — flood is the cause). If both are downstream of a third unstated event (rising fuel prices and rising airfares — both effects of rising crude prices), pick the common-cause option.
Common AFCAT trap patterns
The setter has a small fixed repertoire of traps. Recognise them and the item solves itself.
| Trap pattern | How it appears | Defence |
|---|---|---|
| Assumption dressed as conclusion | The candidate conclusion states a reason behind the statements (Because demand is rising) rather than something derived from them. | Ask — does the statements' wording force this? Reasons behind the statements are assumptions, not conclusions. |
| World knowledge sneaking in | The conclusion is true in the real world but not derivable from the statements. | Cover the statements and ask — would I tick this if I had not seen the statements? If yes, you are using outside knowledge. |
| Partial validity treated as full | Statements say Some A are B; conclusion says All A are B. | Some never implies All. Reject. |
| Reverse direction assumed | Statements say All A are B; conclusion says All B are A. | The reverse of a universal is not given. Only Some B are A follows, never All. |
| Two negatives combined | Both statements are No-statements; conclusion claims another No relation among the outer terms. | Two non-overlaps yield nothing forced about the outer terms. Reject. |
| Quantitative claim with no quantity | Conclusion uses majority, most, the largest share — words the statements never use. | If the statements do not give a count, no quantitative ordering follows. |
| Conclusion repeats a statement | The conclusion is essentially the same as one of the statements with a small reword. | This does follow trivially. Mark it. Do not over-think. |
Drawing the Venn for three-set syllogisms
The three-set Venn is the workhorse for any item where you cannot see the answer in five seconds. Practise the four most common configurations until you can sketch each one in 10 seconds.
- Chain (All A are B; All B are C). Three concentric circles — small A inside medium B inside large C. Everything in A is in B is in C.
- Wedge (All A are B; No B is C). A inside B, and C completely separate from both. A is also completely separate from C.
- Partial overlap (Some A are B; All B are C). A and B overlap; B sits inside C; so the A-and-B overlap also sits inside C, forcing Some A are C.
- Free position (All A are B; Some B are C). A inside B; C overlaps B somewhere, but you cannot tell whether the C-overlap touches A. Nothing is forced about A and C.
If you can recognise which of these four configurations the item fits, you can read the forced conclusions straight off the diagram. AFCAT items rarely go beyond these four.
Time budget
Allow 45 to 60 seconds per item. Most AFCAT statement-and-conclusion items yield to the rules table in under 30 seconds; the extra time is your safety margin. If you reach 75 seconds without a clear answer, mark your best guess and move on — Reasoning has too many high-yield items elsewhere to dwell here.
Aim to finish a clean syllogism item in under 40 seconds, leaving extra time for series and seating arrangement, where time pressure actually bites.
Worked AFCAT-style examples
Statements: All officers are disciplined. All cadets are officers.
Conclusions:
I. All cadets are disciplined.
II. Some disciplined are cadets.
Which conclusion follows?
Cadets sit inside Officers, Officers sit inside Disciplined. So Cadets sit inside Disciplined — Conclusion I is forced. Since cadets exist as a subset of Disciplined, at least one disciplined person is a cadet — Conclusion II is forced.
Statements: All trees are plants. Some plants are flowers.
Conclusions:
I. Some trees are flowers.
II. Some flowers are trees.
Which conclusion follows?
Trees sit inside Plants. Flowers overlap Plants somewhere — but the overlap need not touch the Trees portion. The flowers could all be the non-tree plants. Neither conclusion is forced.
Statements: No fish is a bird. All birds fly.
Conclusions:
I. No fish flies.
II. Some flying things are not fish.
Which conclusion follows?
Conclusion I is not forced — fish are excluded from birds, but the statements say nothing about whether fish fly. Conclusion II follows — all birds fly, and birds are not fish, so at least the birds are flying things that are not fish.
Statements: Some pens are pencils. All pencils are erasers.
Conclusions:
I. Some pens are erasers.
II. All erasers are pens.
Which conclusion follows?
Some pens are pencils — so those pens are pencils. Pencils are erasers — so those same items are erasers. Therefore some pens are erasers — I follows. II is the reverse direction and is not given by the statements — erasers could include many items that are not pens.
Statements: All doctors are graduates. No graduate is illiterate.
Conclusions:
I. No doctor is illiterate.
II. Some graduates are doctors.
Which conclusion follows?
Doctors sit inside Graduates; Graduates do not overlap Illiterate; so Doctors do not overlap Illiterate — I follows. Since all doctors are graduates, those doctors are graduates, so at least some graduates are doctors — II follows.
Statements: Some students are toppers. Some toppers are scholars.
Conclusions:
I. Some students are scholars.
II. All scholars are students.
Which conclusion follows?
The two Some-statements may share or may not share their overlap. Students-and-toppers overlap may sit on one side, toppers-and-scholars overlap may sit on the other, with no link between students and scholars. Nothing is forced about students and scholars.
Statements: All pilots are brave. Some brave are officers.
Conclusions:
I. Some pilots are officers.
II. Some officers are brave.
Which conclusion follows?
II is just the reverse of the second statement — some brave are officers means some officers are brave. It follows. I is not forced — pilots sit inside Brave, officers overlap Brave somewhere, but the overlap need not touch the pilots portion.
Statements: No politician is honest. Some honest people are rich.
Conclusions:
I. Some rich are not politicians.
II. No politician is rich.
Which conclusion follows?
Honest people are not politicians (from statement 1). Some honest people are rich — so those rich people are honest, and therefore not politicians. Hence some rich are not politicians — I follows. II is not forced — politicians might still be rich; the statements only exclude them from honest.
Statements: All squares are rectangles. All rectangles are quadrilaterals.
Conclusions:
I. All squares are quadrilaterals.
II. Some quadrilaterals are squares.
III. All quadrilaterals are squares.
Which conclusion follows?
I follows from the chain — squares inside rectangles inside quadrilaterals. II follows because squares exist as quadrilaterals, so at least one quadrilateral is a square. III reverses a universal — not given, and easily false (a trapezium is a quadrilateral but not a square).
Statements: Some books are heavy. All heavy items are stored carefully.
Conclusions:
I. Some books are stored carefully.
II. All books that are heavy are stored carefully.
Which conclusion follows?
Those books that are heavy are heavy items, and all heavy items are stored carefully — so those books are stored carefully. I follows. II is essentially a restatement of the same chain, narrowed to the heavy subset of books. It also follows.
Statements: The crime rate in district X has risen sharply this year. Many people refuse to report incidents to the police.
Conclusions:
I. Both incidents are independent effects of poor administration.
II. The first incident is the cause and the second is the effect.
Which option is more reasonable?
This is a cause-and-effect item. A direct cause link (II) is not forced — non-reporting does not cause crime rate to rise, nor does rising crime cause non-reporting in any tight sense. A common upstream cause (weak administration, poor policing) plausibly explains both. The common-cause option is the best reading.
Statements: The local lake has been polluted for the past five years and fish populations have collapsed.
Suggested actions:
I. Industries discharging effluent into the lake should be prosecuted and treatment plants installed.
II. The lake should be drained and converted into a parking lot.
Which action should be taken?
Action I addresses the problem directly and proportionately — stop the pollution and recover the lake. Action II is extreme and destroys the asset rather than fixing it; it does not address the root cause and creates fresh problems. Only I follows.
Exam-day strategy
- Read each statement as a fact inside the question's world. Switch off your real-world knowledge for 60 seconds.
- Test each conclusion independently. Do not let your answer to Conclusion I bias your reading of Conclusion II.
- Memorise the five syllogism rules. They cover almost every AFCAT item without a diagram.
- When in doubt, sketch a 3-circle Venn. Ten seconds of diagram beats a minute of mental wrestling.
- Reject conclusions that add information, reverse direction, or use quantifiers (most, majority) the statements never gave.
- Reject merely possible conclusions. AFCAT wants forced.
- If both statements are negative (No A is B; No B is C), expect Neither follows as the answer.
- Allot 45 to 60 seconds. If you cross 75 seconds, mark a guess and move on to series or seating where time bites harder.
Practise Statement and Conclusion for AFCAT
AFCAT-pattern statement-and-conclusion drills with light syllogisms, three-conclusion items and trap-spotting practice.
Start free AFCAT practiceFrequently asked questions
How many statement-and-conclusion items appear in an AFCAT paper?
On average one per paper, occasionally two. It is a high-yield topic only because the mark is almost free if you have the four-step habit.
Are Venn diagrams worth drawing under time pressure?
Yes, for any item with three terms where the answer is not obvious in five seconds. A 10-second sketch saves a minute of mental work and cuts the error rate.
What is the difference between an assumption and a conclusion?
An assumption is something the statements take for granted to make sense. A conclusion is something that must be true given the statements. AFCAT only asks for conclusions — reject answer choices that read like reasons or background beliefs.
Does Some in logic mean a few?
No. In logic Some means at least one, possibly all. So Some students are smart is consistent with all of them being smart. This is the source of forced conclusions like Some B are A from All A are B.
If the statements are obviously false in the real world, can I still use them?
You must. The setter is testing strict reasoning, not factual knowledge. Treat the statements as axioms inside the question's world.
Are course-of-action and cause-and-effect items common in AFCAT?
No. Both appear rarely, perhaps once every few years. Learn the decision rules briefly so you are not surprised, and spend the bulk of your prep on classical syllogisms.
What if neither conclusion in a two-conclusion item follows?
Then mark Neither I nor II follows. This option exists precisely for items where both statements are negative or share no common term.
Can both Some A are B and Some A are not B follow from the same statements?
Yes, in some configurations — for example when Some A are B is forced by an overlap and Some A are not B is forced because the statements show A also has a portion outside B. But this is rare in AFCAT; usually only one of the two is forced.