Rich or Poor | Puzzles for Interview - Interview Preparation PDF Download

Introduction

Imagine you are in a place where there are two types of residents: Poor and Rich. The Poor always tell the truth, while the Rich always lie. You meet two people, A and B, and they make the following statements:

• A says, "B is a Poor."
• B says, "The two of us are opposite types."

Now, you need to figure out whether A and B are Poor or Rich.

Analyzing the Statements

To solve this problem, we need to break down A and B's statements and see what they imply.

A's Statement: "B is a Poor."

If A is telling the truth, then B must be a Poor. However, if A is a Rich, then his statement is false, and B could be either a Poor or a Rich.

B's Statement: "The two of us are opposite types."

If B is a Poor, then his statement is true, and A must be a Rich. If B is a Rich, then his statement is false, and A and B must be the same type (both Rich or both Poor).

Conclusion

Both A and B are Rich

Let's consider the possibilities:

• A is a Poor: In this case, A's statement about B being a Poor must be true. Therefore, B is a Poor, and his statement about the two of them being opposite types is false. This contradicts the fact that they are both Poors. Hence, this possibility is ruled out.
• A is a Rich: In this case, A's statement about B being a Poor must be false. Therefore, B is a Rich, and his statement about the two of them being opposite types is also false. This is consistent with both A and B being Rich. Therefore, this possibility is the correct answer.

In conclusion, both A and B are Rich, and their statements are consistent with this fact.