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 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.
Premise Overview
The given premises are:
- Premise 1: All metals are grey in colour. ($M \subseteq G$)
- Premise 2: Some metals are heavy. ($M \cap H \neq \emptyset$)
Analysis of Conclusion I
Conclusion I: All heavy metals are grey in colour.
Premise 1 states all metals (M) are grey (G). Premise 2 confirms some metals are heavy (H). While the metals that are heavy ($M \cap H$) must be grey because they are metals, the conclusion's phrase "All heavy metals" might refer to a category scope not fully defined or guaranteed solely by these premises. Therefore, this conclusion does not necessarily follow logically.
Analysis of Conclusion II
Conclusion II: All light metals are not grey in colour.
The premises provide no information about 'light metals'. Premise 1 states all metals are grey. If 'light metals' are assumed to be metals, they must be grey, which contradicts Conclusion II. Hence, this conclusion does not follow.
Result
Neither Conclusion I nor Conclusion II can be logically deduced from the given premises.
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 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.
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.
