Free IBPS Syllogism and Logical Reasoning Questions and Answers — Questions and Answers
Question 1: Directions: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements. Statements: All Chairs are Tables. Some Tables are Desks. Conclusions: I. Some Desks are Chairs. II. No Desk is a Chair.
- Only conclusion I follows.
- Only conclusion II follows.
- Either conclusion I or conclusion II follows. (Correct answer)
- Both conclusions I and II follow.
Correct answer: Either conclusion I or conclusion II follows.
Based on the statements, the Venn diagram shows the 'Chairs' circle completely inside the 'Tables' circle. The 'Desks' circle overlaps with the 'Tables' circle. However, there is no definite relationship between Desks and Chairs. The overlap between Desks and Tables could either include Chairs or not. This means 'Some Desks are Chairs' is a possibility, and 'No Desk is a Chair' is also a possibility. Since both conclusions are possibilities and form a complementary pair (Some + No), the 'Either/Or' condition applies.
Question 2: Directions: In the question below are given three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements. Statements: Some Laptops are Mobiles. All Mobiles are Tablets. No Tablet is a Television. Conclusions: I. Some Laptops are Tablets. II. No Mobile is a Television.
- Only conclusion I follows.
- Only conclusion II follows.
- Neither conclusion I nor II follows.
- Both conclusions I and II follow. (Correct answer)
Correct answer: Both conclusions I and II follow.
For Conclusion I: Since 'Some Laptops are Mobiles' and 'All Mobiles are Tablets', the portion of Laptops that are Mobiles must also be Tablets. Therefore, 'Some Laptops are Tablets' logically follows. For Conclusion II: Since 'All Mobiles are Tablets' and 'No Tablet is a Television', there can be no overlap between Mobiles and Televisions. Therefore, 'No Mobile is a Television' also logically follows. As both conclusions are definitely true, the correct answer is that both follow.
Question 3: Directions: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements. Statements: Only a few Roses are Lilies. All Lilies are Sunflowers. Conclusions: I. Some Roses are not Lilies. II. Some Sunflowers are Roses.
- Neither conclusion I nor II follows.
- Both conclusions I and II follow. (Correct answer)
- Only conclusion I follows.
- Only conclusion II follows.
Correct answer: Both conclusions I and II follow.
The statement 'Only a few Roses are Lilies' implies two things: 1) Some Roses are Lilies, and 2) Some Roses are not Lilies. Conclusion I directly follows from the second implication. For Conclusion II, since 'Some Roses are Lilies' and 'All Lilies are Sunflowers', the part of Roses that are Lilies must also be Sunflowers. Therefore, 'Some Sunflowers are Roses' also follows. Both conclusions are logically correct.
Question 4: Directions: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements. Statements: All Cars are Vehicles. No Vehicle is a Bicycle. Conclusions: I. No Car is a Bicycle. II. All Vehicles being Cars is a possibility.
- Only conclusion I follows.
- Both conclusions I and II follow. (Correct answer)
- Only conclusion II follows.
- Neither conclusion I nor II follows.
Correct answer: Both conclusions I and II follow.
For Conclusion I: Since all Cars are a subset of Vehicles, and no Vehicle can be a Bicycle, it logically follows that no Car can be a Bicycle. This is a definite conclusion. For Conclusion II: The statement 'All Cars are Vehicles' allows for the scenario where the set of 'Cars' and the set of 'Vehicles' are identical. A Venn diagram where the two circles perfectly overlap would satisfy the first statement without violating the second. Therefore, 'All Vehicles being Cars' is a valid possibility. Both conclusions follow.
Question 5: Directions: In the question below are given three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements. Statements: No Cat is a Dog. All Dogs are Lions. Some Lions are Tigers. Conclusions: I. Some Lions are not Cats. II. Some Tigers are Dogs.
- Only conclusion I follows. (Correct answer)
- Only conclusion II follows.
- Both conclusions I and II follow.
- Either conclusion I or II follows.
Correct answer: Only conclusion I follows.
For Conclusion I: We know 'All Dogs are Lions'. This means there is a part of 'Lions' that is 'Dogs'. We also know 'No Cat is a Dog'. Therefore, the part of 'Lions' that is 'Dogs' cannot be 'Cats'. This proves that 'Some Lions are not Cats' is a definite conclusion. For Conclusion II: There is an overlap between Lions and Tigers, but this overlap does not have to be with the 'Dogs' part of the 'Lions' circle. There is no definite connection between Tigers and Dogs, so this conclusion does not follow.
Question 6: Directions: In the question below are given two statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements. Statements: Only Rings are Bracelets. Some Rings are Necklaces. Conclusions: I. Some Necklaces are Bracelets. II. All Bracelets are Rings.
- Only conclusion I follows.
- Neither conclusion I nor II follows.
- Both conclusions I and II follow.
- Only conclusion II follows. (Correct answer)
Correct answer: Only conclusion II follows.
The statement 'Only Rings are Bracelets' is equivalent to 'All Bracelets are Rings'. This means Conclusion II is a direct conversion of the first statement and is therefore true. For Conclusion I, 'All Bracelets are Rings' implies that the 'Bracelets' circle is inside the 'Rings' circle. 'Some Rings are Necklaces' means the 'Necklaces' circle overlaps with the 'Rings' circle. However, this overlap does not need to be with the 'Bracelets' part of the 'Rings' circle. No definite connection exists between Necklaces and Bracelets. Thus, Conclusion I does not follow.
Directions: In the question below are given two statements followed by two conclusions numbered I and II.
You have to take the given statements to be true even if they seem to be at variance from commonly known facts.
Read all the conclusions and then decide which of the given conclusions logically follows from the given statements.
Statements:
All Chairs are Tables.
Some Tables are Desks.
Conclusions:
I.
Some Desks are Chairs.
II.
No Desk is a Chair.