Question

STATEMENT: All cabbages are red.
Which of the following statements shows that the statement above is false?
A) David is eating a red apple.
B) Bill is eating a green apple.
C) Alice is not eating a red cabbage.
D) Ted is eating a red cabbage.
E) Keisha is eating green cabbage.

Answer 1

Hint: This is a mathematical reasoning question called ‘Statement and Conclusion’. To know which statement in the option proves the main statement false, we have to verify each and every option to get the conclusion.
The given statement is, “All cabbages are red”, which means each and every cabbage we will talk about must be red in color.

Complete step-by-step answer:
In option A, it is given that David is eating a red apple and there is nothing mentioned about cabbage. So, it proves the main statement neither true nor false.
In option B, it is given that Bill is eating a green apple and like option A it has no role in proving the main statement true or false.
In option C, it is given that Alice is not eating a red cabbage which means whatever he or she is eating is not a red cabbage. So, there might be red cabbages, might be not.
In option D, it is given that Ted is eating a red cabbage which means there is red cabbage which proves the main statement partially true. (Partially true because Ted is eating only one cabbage which is red, but there might be more apples of different color.)
In option E, it is given that Keisha is eating a green cabbage which proves the main statement is false as there are green cabbages too and all cabbages are not red in color.

The statement in the option E shows that the statement above is false.

Note: This one is a logical question. So you have to think logically from different directions. You can go wrong with option C and D as there is mentioned about red cabbages.
You should practice more and more logical questions.
The given statement is, “All cabbages are red”, which means each and every cabbage we will talk about must be red in color. If there is any statement that proves the presence of cabbage of different color, then it will make the main statement wrong. But the statement that says that someone does not eat red cabbage, will not prove that the cabbages are not red.
Before solving this kind of question, read the option statements thoroughly.