Examine the following statements.1. All colours are pleasant.2. Some c...
On the basis of this diagram, statement 1 is definitely false
View all questions of this test
Examine the following statements.1. All colours are pleasant.2. Some c...
Examining the Statements:
1. All colours are pleasant.
2. Some colours are pleasant.
3. No colour is pleasant.
4. Some colours are not pleasant.
Given that statement 4 is true, we can analyze the implications of this statement on the other statements.
Implications of Statement 4 being True:
If statement 4 is true, it means that there are some colors that are not pleasant. Let's consider the implications of this on the other statements.
1. All colours are pleasant: This statement implies that every single color is pleasant. However, if statement 4 is true, it contradicts statement 1 because it states that there are some colors that are not pleasant. Therefore, statement 1 must be false.
2. Some colours are pleasant: This statement implies that there exists at least one color that is pleasant. Since statement 4 is true and affirms that there are some colors that are not pleasant, it does not contradict statement 2. Therefore, statement 2 can still be true.
3. No colour is pleasant: This statement implies that there is not a single color that is pleasant. However, if statement 4 is true, it contradicts statement 3 because it affirms the existence of colors that are not pleasant. Therefore, statement 3 must be false.
Conclusion:
Based on the implications discussed above, we can conclude that statement 1 is false (as it contradicts statement 4), statement 2 can still be true (as it is not contradicted by statement 4), and statement 3 is false (as it is contradicted by statement 4).
Therefore, the definite conclusion that can be drawn is that statement 1 is false (option d).