IBPS Syllogism 5 — Questions and Answers
Question 1: Statements: All maps are charts. Some charts are graphs. No graph is a diagram. Conclusions: I. Some maps are diagrams. II. Some charts are not diagrams. Which conclusion(s) follow?
- Only I follows
- Only II follows (Correct answer)
- Both I and II follow
- Neither I nor II follows
Correct answer: Only II follows
Some charts are graphs and no graph is a diagram, so some charts are not diagrams (II follows); there is no direct path from maps to graphs/diagrams, so Conclusion I does not follow.
Question 2: Statements: All actors are singers. All singers are dancers. No dancer is a painter. Conclusions: I. No actor is a painter. II. No singer is a painter. Which conclusion(s) follow?
- Only I follows
- Only II follows
- Both I and II follow (Correct answer)
- Neither I nor II follows
Correct answer: Both I and II follow
Actors → singers → dancers, and no dancer is a painter, so no actor is a painter (I follows) and no singer is a painter (II follows).
Question 3: Statements: Some teachers are principals. Some principals are directors. Conclusions: I. Some teachers are directors. II. All directors are principals. Which conclusion(s) follow?
- Only I follows
- Only II follows
- Both I and II follow
- Neither I nor II follows (Correct answer)
Correct answer: Neither I nor II follows
Two particular affirmative premises yield no definite conclusion; the teacher-principals and principal-directors may be entirely different subsets.
Question 4: Statements: All sparrows are birds. No bird is a mammal. Some mammals are reptiles. Conclusions: I. No sparrow is a mammal. II. Some reptiles are not birds. Which conclusion(s) follow?
- Only I follows
- Only II follows
- Both I and II follow (Correct answer)
- Neither I nor II follows
Correct answer: Both I and II follow
All sparrows are birds and no bird is a mammal, so no sparrow is a mammal (I follows); some mammals are reptiles and no mammal is a bird, so those reptiles (which are mammals) are not birds, meaning some reptiles are not birds (II follows).
Question 5: Statements: Some athletes are coaches. All coaches are trainers. No trainer is a referee. Conclusions: I. Some athletes are not referees. II. No coach is a referee. Which conclusion(s) follow?
- Only I follows
- Only II follows
- Both I and II follow (Correct answer)
- Neither I nor II follows
Correct answer: Both I and II follow
All coaches are trainers and no trainer is a referee, so no coach is a referee (II follows); some athletes are coaches → trainers, and no trainer is a referee, so some athletes are not referees (I follows).
Question 6: Statements: All novels are books. Some books are magazines. All magazines are journals. Conclusions: I. Some journals are books. II. Some novels are journals. Which conclusion(s) follow?
- Only I follows (Correct answer)
- Only II follows
- Both I and II follow
- Neither I nor II follows
Correct answer: Only I follows
Some books are magazines and all magazines are journals, so some books are journals; by conversion, some journals are books (I follows); the books that are magazines may not include any novels, so Conclusion II does not follow.
Question 7: Statements: No pen is a pencil. Some pencils are erasers. All erasers are sharpeners. Conclusions: I. Some sharpeners are not pens. II. Some erasers are pencils. Which conclusion(s) follow?
- Only I follows
- Only II follows
- Both I and II follow (Correct answer)
- Neither I nor II follows
Correct answer: Both I and II follow
Some pencils are erasers and all erasers are sharpeners, so some pencils are sharpeners; no pen is a pencil, so those pencil-sharpeners are not pens, meaning some sharpeners are not pens (I follows); converting 'some pencils are erasers' gives 'some erasers are pencils' (II follows).
Statements: All maps are charts.
Some charts are graphs.
No graph is a diagram.
Conclusions: I.
Some maps are diagrams.
II.
Some charts are not diagrams.
Which conclusion(s) follow?