Examine the following statements: 1. All colors are pleasant. 2. Some colors are pleasant. 3. No color is pleasant. 4. Some colors are not pleasant. Given that statement 4 is true, what can be definitely concluded?

QUESTION

CSAT

Easy

Maths

Prelims 2017

Examine the following statements:

All colors are pleasant.
Some colors are pleasant.
No color is pleasant.
Some colors are not pleasant.

Given that statement 4 is true, what can be definitely concluded?

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Explanation

Statement 1 is false. If this were true, it would contradict statement 4, because if all colors were pleasant, there would be no colors that are not pleasant.

Statement 2 cannot be concluded. Statement 4 ("Some colors are not pleasant") does not directly negate this. It is possible for some colors to be pleasant while others are not.

Statement 3 cannot be concluded. Statement 4 being true does not provide enough information to conclude anything about statement 3. It is possible for statement 3 to be either true or false while keeping statement 4 true.

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