Read the given statements and conclusions carefully. Assuming the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements. Statements: All benches are bags. Some bags are pillows. Some bags are not chairs. Conclusions: Some benches are pillows. Some pillows are chairs.
Analyzing Syllogism Statements and Conclusions
This problem involves deductive reasoning based on given statements to determine the validity of conclusions.
Statement Breakdown
- Statement 1: All benches are bags. This means the set of 'benches' is entirely contained within the set of 'bags'.
- Statement 2: Some bags are pillows. This indicates an overlap between the 'bags' set and the 'pillows' set. At least one bag is a pillow.
- Statement 3: Some bags are not chairs. This means there exists at least one bag that is outside the set of 'chairs'.
Evaluating Conclusion 1
Conclusion 1: Some benches are pillows.
Statement 1 states 'All benches are bags'. Statement 2 states 'Some bags are pillows'. While benches are a type of bag, the 'some bags' that are pillows might not include any of the benches. The overlap between bags and pillows could exist entirely outside the subset of benches.
Therefore, Conclusion 1 does not necessarily follow.
Evaluating Conclusion 2
Conclusion 2: Some pillows are chairs.
Statement 2 links 'bags' and 'pillows' ('Some bags are pillows'). Statement 3 links 'bags' and 'chairs' ('Some bags are not chairs').
There is no direct information connecting 'pillows' to 'chairs'. We cannot infer any relationship between pillows and chairs based solely on these statements.
Therefore, Conclusion 2 does not necessarily follow.
Overall Validity
Since neither Conclusion 1 nor Conclusion 2 can be logically derived from the given statements, the correct determination is that neither conclusion follows.
Similar Questions
Read the given statement and conclusions carefully. Assuming that the information given in the statement is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement.
Statement:
All reds are black.
Conclusions:
1. Some blacks are red.
2. Some reds are black.
- Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
1 Some glasses are mugs.
2 All mugs are plates.
3 No plate is a telephone.
Conclusions:
1. Some glasses are plates.
2. Some mugs are not telephones. - Read the given statements and conclusions carefully and decide which of the conclusions logically follow(s) from the statements.
Statements:
1. All doctors are players.
2. Some players are teachers.
Conclusions:
1. Some players are doctors as well as teachers.
2. All teachers are players. - Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statement 1: Some chairs are tables.
Statement 2: All books are tables.
Conclusion 1: Some books are chairs.
Conclusion 2: Some tables are chairs. Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s).
Statements:
Some apples are baskets. All baskets are drums.
Conclusions:
(I) Some drums are apples.
(II) No drum is an apple.
Read the given statement(s) and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement(s).
Statements: All eggs are kings. Some kings are tickets.
Conclusion (I): All tickets are eggs.
Conclusion (II): Some eggs are tickets.
- Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements.
Statements:
All silk cloths are woollen cloths.
No woollen cloth is a nylon cloth.
Conclusions:
I. No silk cloth is a nylon cloth.
II. All woollen cloths are silk cloths. - Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follows from the statements.
Statements:
Some toffees are candies.
All candies are lollipops.
Conclusions:
I. No lollipop is a toffee.
II. Some lollipops are candies. Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statement: All Corns are Cauliflowers. No Cauliflowers are Spinaches.
Conclusion (I): No Spinaches are Corns.
Conclusion (II): Some Spinaches are Corns.
Important Questions from Conventional Syllogism
- Consider the following Statements and Conclusions :
Statements : Mohan is a good sportsman.
Sportsmen are healthy.
Conclusions : I. All healthy persons are sportsmen.
II. Mohan is healthy.
Which one of the following is correct? Premises : All metals are grey in colour. Some metals are heavy.
Conclusion: I. All heavy metals are grey in colour.
II. All light metals are not grey in colour.Premises : All film stars are playback singers. All film directors are film stars.
Conclusion: I. All film directors are playback singers.
II. Some film stars are film directors.Premises : All apples are golden in colour. No golden coloured things are cheap.
Conclusion: I. All apples are cheap.
II. Golden coloured apples are not cheap.Read the given statement and conclusions carefully. Assuming that the information given in the statement is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statement.
Statement:
All reds are black.
Conclusions:
1. Some blacks are red.
2. Some reds are black.
