IBPS Syllogism Questions and Answers — Questions and Answers
Question 1: Statements: I. All keyboards are mouse. II. Some mouse are printers. Conclusions: I. Some printers are keyboards. II. No keyboard is a printer.
- If only conclusion I follows.
- If only conclusion II follows.
- If either conclusion I or II follows. (Correct answer)
- If neither conclusion I nor II follows.
Correct answer: If either conclusion I or II follows.
There is no direct relation between keyboards and printers. The 'mouse' category connects them, but the overlap between 'mouse' and 'printers' could be separate from the 'keyboards' area. This means we cannot definitively say that 'Some printers are keyboards' (Conclusion I is false) nor can we say 'No keyboard is a printer' (Conclusion II is false). However, since these two conclusions form a complementary pair (Some + No), one of them must be true. Therefore, the 'Either/Or' case applies.
Question 2: Statements: I. No car is a bike. II. All bikes are scooters. Conclusions: I. No car is a scooter. II. Some scooters are bikes.
- If both conclusions I and II follow.
- If only conclusion II follows. (Correct answer)
- If only conclusion I follows.
- If neither conclusion I nor II follows.
Correct answer: If only conclusion II follows.
From the statement 'All bikes are scooters', the definite conclusion 'Some scooters are bikes' is valid. For Conclusion I, 'No car is a scooter' is not definite. While no car is a bike, a car could still have an overlap with the part of the 'scooters' circle that is not 'bikes'. Therefore, only conclusion II follows.
Question 3: Statements: I. Only a few rivers are oceans. II. All oceans are seas. Conclusions: I. Some rivers are not oceans. II. All seas being rivers is a possibility.
- If only conclusion I follows.
- If neither conclusion I nor II follows.
- If both conclusions I and II follow. (Correct answer)
- If only conclusion II follows.
Correct answer: If both conclusions I and II follow.
The statement 'Only a few rivers are oceans' implies two things: 'Some rivers are oceans' AND 'Some rivers are not oceans'. Therefore, Conclusion I is directly true. For Conclusion II, since there is no negative statement restricting the relationship, we can draw a Venn diagram where the 'seas' circle is entirely inside the 'rivers' circle without violating the initial statements. Therefore, 'All seas being rivers is a possibility' is also true.
Question 4: Statements: I. Some apples are mangoes. II. Some mangoes are bananas. Which of the following conclusions is a definite possibility? I. All apples being bananas is a possibility. II. Some apples are definitely bananas.
- Only conclusion I follows. (Correct answer)
- Only conclusion II follows.
- Both I and II follow.
- Neither I nor II follows.
Correct answer: Only conclusion I follows.
The statements establish no direct link between apples and bananas. Because there is no negative restriction, a scenario where all apples are also bananas is possible without contradicting the given statements. Therefore, Conclusion I is a valid possibility. Conclusion II is incorrect because there is no definite connection; we cannot be certain that any apples are bananas.
Question 5: Statements: I. All chairs are tables. II. No table is a sofa. III. Some sofas are wooden. Conclusions: I. No chair is a sofa. II. Some tables are wooden.
- If only conclusion II follows.
- If neither conclusion I nor II follows.
- If both conclusions I and II follow.
- If only conclusion I follows. (Correct answer)
Correct answer: If only conclusion I follows.
From 'All chairs are tables' and 'No table is a sofa', we can derive the definite conclusion that 'No chair is a sofa'. So, Conclusion I follows. There is no definite relationship between 'tables' and 'wooden' items. The 'wooden' circle overlaps with 'sofa', which is completely separate from 'table'. Therefore, Conclusion II does not follow.
Question 6: Statements: I. Some paints are brushes. II. All brushes are canvases. Conclusions: I. Some paints are canvases. II. All canvases are paints.
- If neither conclusion I nor II follows.
- If both conclusions I and II follow.
- If only conclusion I follows. (Correct answer)
- If only conclusion II follows.
Correct answer: If only conclusion I follows.
Since some paints are brushes, and all those brushes are canvases, it logically follows that the part of 'paints' which is 'brushes' must also be 'canvases'. Therefore, 'Some paints are canvases' (Conclusion I) is a definite conclusion. Conclusion II, 'All canvases are paints', is not definite. The 'canvases' circle is larger than or equal to the 'brushes' circle, but we only know that the 'paints' circle overlaps with it, not that it encompasses it entirely.
Statements:
I.
All keyboards are mouse.
II.
Some mouse are printers.
Conclusions:
I.
Some printers are keyboards.
II.
No keyboard is a printer.