If A says, "exactly one among B and C is a liar" and B says, "both A and C are liars", then

Correct option is B

Given:

• A says: "Exactly one among B and C is a liar."
• B says: "Both A and C are liars."

Solution:

Assume Option B: B is a liar and C is truthful

Let’s analyze this:

1. B is a liar → So his statement “Both A and C are liars” is false
   → That means either A or C is not a liar, or both are truthful
2. C is truthful → Valid as per assumption
3. Now evaluate A's statement: "Exactly one among B and C is a liar"
• If B is a liar and C is truthful, then A's statement is true

So, A is also truthful

But now we have a contradiction:

• A is truthful
• B is a liar
• C is truthful

→ That means A's statement "Exactly one among B and C is a liar" would be true, which is fine.

But now B says: 'Both A and C are liars'
→ That is false, which fits because B is a liar

So, we find no contradiction. The logic works.

Correct Option: (B) B is a liar and C is truthful