So, who is the liar?
Deducing the Liar Among A, B, and C
This problem involves identifying a liar among three individuals (A, B, C), where two always tell the truth and one always lies. We need to analyze the statements made.
Analyzing the Question to A
C asks A: "Do you always speak the truth?".
- If A is a truth-teller, they would truthfully answer "Yes".
- If A is the liar, they must lie. The truthful answer would be "No", so they must lie and say "Yes".
Therefore, regardless of whether A is a truth-teller or the liar, A's response to the question "Do you always speak the truth?" must be "Yes".
Analyzing B's Statement
C could not hear A's response. C then asked B, "what did A say?". B replied, "A said No".
We established that A must have said "Yes". B's statement ("A said No") directly contradicts the logical outcome. This means B's statement is false.
Identifying the Liar
Since B made a false statement, B must be the liar.
Let's check consistency:
- Assume B is the liar. Then A and C are truth-tellers.
- C asks A (truth-teller): "Do you speak the truth?". A answers "Yes".
- C asks B (liar): "What did A say?". B lies and says "A said No". This matches the scenario given in the question.
Therefore, B is confirmed as the liar.
Important Questions from Critical thinking (Notes)
- An empty plastic mug floats in a bucket of water. When a solid iron ball is kept in the mug it doesn't sink. When the ball is put in the water it sinks. Compared to when the ball is in water, the water level in the bucket when the ball is in the mug is
- Select the correct statement related to learner centred approach
(a) Pupil is actively involved in the teaching-learning process.
(b) The main function of the teacher is not to instruct but to evoke learning.
Select the correct answer. - Which of the following learning approaches allows the students to use their thinking skills in order to discover information and unfold the truth?
- In which of the following, the learner is expected to take responsibility of his/her learning ?
- The main objective of item analysis is to find out the
