Statement & Conclusion
20 Questions
Practice Problems
Statement & Conclusion Interview Questions
20 Questions
Statement & Conclusion
Statement: All pens are pencils. All pencils are erasers. Conclusions: I. All pens are erasers. II. All erasers are pens. Which conclusion(s) follow?
Only conclusion I follows. Since all pens are pencils and all pencils are erasers, it logically follows that all pens are erasers (a chain relationship). Conclusion II reverses the logic incorrectly — just because all pens are erasers doesn't mean all erasers are pens, since erasers could include other things besides pens.
Statement: Some doctors are engineers. All engineers are teachers. Conclusions: I. Some doctors are teachers. II. Some teachers are doctors. Which conclusion(s) follow?
Both I and II follow. Since some doctors are engineers, and all engineers are teachers, that same group of doctor-engineers must also be teachers — giving us 'some doctors are teachers.' Because this is a two-way overlap (some doctors = some engineers = some teachers), the conclusion can also be reversed to 'some teachers are doctors.'
Statement: No cups are plates. All plates are spoons. Conclusions: I. No cups are spoons. II. Some spoons are plates. Which conclusion(s) follow?
Only conclusion II follows. Since all plates are spoons, some spoons are definitely plates (a valid conversion of a universal statement). Conclusion I does not follow — 'No cups are plates' only excludes plates from cups; it says nothing about the other spoons that aren't plates, so we can't conclude no cups are spoons at all.
Statement: All books are journals. Some journals are magazines. Conclusions: I. Some books are magazines. II. Some magazines are books. Which conclusion(s) follow?
Neither conclusion follows. This is a classic trap: 'all books are journals' and 'some journals are magazines' does not guarantee that the specific journals which are magazines are the same ones that are books. Without a shared, guaranteed overlap between books and magazines, no definite conclusion about their relationship can be drawn.
Statement: All mangoes are fruits. All fruits are healthy. Conclusions: I. All mangoes are healthy. II. Some healthy things are mangoes. Which conclusion(s) follow?
Both I and II follow. Since all mangoes are fruits and all fruits are healthy, it directly follows that all mangoes are healthy (a valid chain). And since all mangoes are a subset of healthy things, it's also valid to say some healthy things are mangoes.
Statement: Some students are athletes. No athletes are lazy. Conclusions: I. Some students are not lazy. II. No students are lazy. Which conclusion(s) follow?
Only conclusion I follows. Since some students are athletes, and no athletes are lazy, those particular students (who are athletes) are definitely not lazy — giving 'some students are not lazy.' Conclusion II is too strong an overreach, because it claims this about ALL students, when we only have information about the subset who are athletes.
Statement: All roses are flowers. All flowers fade. Conclusions: I. All roses fade. II. Some things that fade are roses. Which conclusion(s) follow?
Both I and II follow. All roses being flowers, and all flowers fading, chains together to mean all roses fade (conclusion I). Since roses form a subset of things that fade, it is also valid to say some things that fade are roses (conclusion II, a simple conversion).
Statement: No mobile phones are tablets. Some tablets are laptops. Conclusions: I. No mobile phones are laptops. II. Some laptops are not mobile phones. Which conclusion(s) follow?
Only conclusion II follows. Since some tablets are laptops, and no mobile phones are tablets, at least those tablet-laptops are proven to not be mobile phones, so 'some laptops are not mobile phones' is valid. Conclusion I is too broad — we only know about the tablets that are laptops, not about all laptops, so we can't rule out mobile phones from every laptop.
Statement: All actors are singers. Some singers are dancers. Conclusions: I. Some actors are dancers. II. Some dancers are actors. Which conclusion(s) follow?
Neither conclusion follows. Even though all actors are singers, we only know 'some' singers are dancers — there's no guarantee that the singer-dancers overlap with the singer-actors. This is a frequent trap where two 'some' or mixed 'all/some' statements don't guarantee any relationship between the outer categories.
Statement: All chairs are tables. No tables are cupboards. Conclusions: I. No chairs are cupboards. II. Some cupboards are chairs. Which conclusion(s) follow?
Only conclusion I follows. Since all chairs are tables, and no tables are cupboards, it follows that no chairs can be cupboards either (a valid chain of exclusion). Conclusion II directly contradicts this and cannot be true, since chairs and cupboards have been shown to be completely separate groups.
Statement: Some pilots are captains. All captains are officers. Conclusions: I. Some pilots are officers. II. All officers are pilots. Which conclusion(s) follow?
Only conclusion I follows. Since some pilots are captains, and all captains are officers, those pilot-captains must be officers too, giving 'some pilots are officers.' Conclusion II is an invalid overreach — the statement never says all officers are pilots, only that captains (a subset) are officers.
Statement: All keys are locks. Some locks are doors. Conclusions: I. Some keys are doors. II. Some doors are keys. Which conclusion(s) follow?
Neither conclusion follows. This is the same trap pattern as 'all-some' combinations: knowing all keys are locks and only some locks are doors doesn't guarantee that the lock-doors and the lock-keys are the same locks. No definite relationship between keys and doors can be established.
Statement: No apples are oranges. All oranges are citrus fruits. Conclusions: I. Some citrus fruits are not apples. II. No apples are citrus fruits. Which conclusion(s) follow?
Only conclusion I follows. Since all oranges are citrus fruits, and no apples are oranges, those orange-citrus fruits are definitely not apples, supporting 'some citrus fruits are not apples.' Conclusion II is invalid overreach — we only know apples aren't oranges, not that apples can't belong to citrus fruits through some other route.
Statement: All laptops are computers. All computers are electronic devices. Conclusions: I. All laptops are electronic devices. II. Some electronic devices are laptops. Which conclusion(s) follow?
Both I and II follow. This is a straightforward valid chain: all laptops → all computers → all electronic devices means all laptops are electronic devices (I). Since laptops form part of this larger 'electronic devices' group, it's also valid to say some electronic devices are laptops (II).
Statement: Some teachers are writers. Some writers are poets. Conclusions: I. Some teachers are poets. II. No teachers are poets. Which conclusion(s) follow?
Neither conclusion follows. Two 'some' statements chained together don't guarantee any fixed relationship between the outer groups — the writers who are teachers may not be the same writers who are poets. Both a definite 'some are' and a definite 'none are' claim go beyond what the statements actually establish.
Statement: All soldiers are brave. Some brave people are leaders. Conclusions: I. Some soldiers are leaders. II. Some leaders are soldiers. Which conclusion(s) follow?
Neither conclusion follows. Even though all soldiers are brave, the statement only says 'some' brave people are leaders — there's no guarantee these leader-brave-people include any soldiers specifically. This is the same all-then-some trap that frequently appears in interview reasoning tests.
Statement: No fish are mammals. All whales are mammals. Conclusions: I. No fish are whales. II. Some mammals are not fish. Which conclusion(s) follow?
Both I and II follow. Since all whales are mammals and no fish are mammals, it follows that no fish can be whales either (a valid chain of exclusion, conclusion I). Also, since whales are mammals but never fish, at least some mammals (the whales) are proven not to be fish, supporting conclusion II.
Statement: All rivers are water bodies. Some water bodies are polluted. Conclusions: I. Some rivers are polluted. II. All water bodies are rivers. Which conclusion(s) follow?
Neither conclusion follows. Even though all rivers are water bodies, we only know 'some' water bodies are polluted — there's no guarantee the polluted ones are rivers specifically, so conclusion I is unproven. Conclusion II is also invalid, since the statement never claims water bodies are limited to rivers alone.
Statement: All circles are squares. All squares are triangles. Conclusions: I. All circles are triangles. II. Some triangles are circles. Which conclusion(s) follow?
Both I and II follow, based purely on the logical structure of the statement — even though the real-world shapes described are geometrically impossible. In these questions, conclusions must be judged only on logical validity, not real-world truth: if all circles are squares and all squares are triangles, it logically follows that all circles are triangles (I), and therefore some triangles are circles (II).
Statement: Some employees are managers. All managers work overtime. Conclusions: I. Some employees work overtime. II. All employees work overtime. Which conclusion(s) follow?
Only conclusion I follows. Since some employees are managers, and all managers work overtime, those employee-managers are proven to work overtime, giving 'some employees work overtime.' Conclusion II is an unjustified overreach — the statement never claims that every employee, only managers, works overtime.