The next three (03) items have two premises and two conclusions. If the premises are assumed to be true (irrespective of factuality), then, in respect
of each of the items given below, which of the following conclusions follow logically?
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.
Logical Reasoning Solution: Apples and Price
We need to determine which conclusion logically follows from the given premises.
Given Premises
- Premise 1: All apples are golden in colour.
- Premise 2: No golden coloured things are cheap.
Analysis of Conclusions
Conclusion I: All apples are cheap.
- From Premise 1, we know that the set of 'apples' is a subset of 'things that are golden in colour'.
- From Premise 2, we know that the set of 'things that are golden in colour' and the set of 'cheap things' have no overlap (they are mutually exclusive).
- Since all apples belong to the 'golden in colour' category, and nothing in the 'golden in colour' category is cheap, it follows that apples cannot be cheap.
- Therefore, Conclusion I (All apples are cheap) contradicts the premises and is false.
Conclusion II: Golden coloured apples are not cheap.
- The phrase 'Golden coloured apples' refers to items that are both 'golden in colour' and 'apples'.
- Premise 2 states explicitly: "No golden coloured things are cheap."
- Since 'golden coloured apples' are a type of 'golden coloured thing', they must also follow the rule stated in Premise 2.
- Therefore, golden coloured apples are not cheap. Conclusion II is true.
Result
Based on the analysis, only Conclusion II is a valid deduction from the premises.
The correct option is the one that states Only II is true.
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.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 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.
