out of any two polititions ,one is a liar
There is a party of 100 high-powered politicians. All of them are either honest or liars. You walk in knowing two things:
– At least one of them is honest.
– If you take any two politicians, at least one of them is a liar.
From this information, can you know how many are liars and how many are honest?
Answer-1 honest 99 liars
Given that choosing any two politicians one would surely be a liar and atleast one is honest.
So, considering the case of one honest politicians call him A.
Now for A we have 99 options to choose another politician and as given A is honest and also other one has to be a liar in that case , any politician we choose from 99 , he will be a liar for sure to justify the given conditions.
Therefore , only 1 is honest and 99 liars.
More puzzles to try-
- 3 + 3 = 3 5 + 4 = 4 1 + 0 = 3 2 + 3 = 4 ...Read More »
- There are 10 stacks of 10 coins each. Each coin weights 10 gms. However, one stack of coins is defective ...Read More »
- Which clock works best? The one that loses a minute a day or the one that doesn’t work at all?Read More »
- Paul, Sam and Dean are assigned the task of figuring out two numbers. They get the following information: Both numbers ...Read More »
- Five puzzleFry ship’s pirates have obtained 100 gold coins and have to divide up the loot. The pirates are all ...Read More »
- Four days are there which start with the letter ‘T‘. I can remember only two of them as “Tuesday , Thursday”. ...Read More »
- Two fathers took their sons to a fruit stall. Each man and son bought an apple, But when they returned ...Read More »
- A farmer is taking her eggs to the market in a cart, but she hits a pothole, which knocks over ...Read More »
- Let it be simple and as direct as possible. Interviewer : Tell me how much time (in days) and money would ...Read More »
- Solve this logic sequence puzzle by the correct digit- 8080 = 6 1357 = 0 2022 = 1 1999 = ...Read More »
- A man leaves his house in the morning to go to office and kisses his wife. In the evening on ...Read More »
- Jasmine, Thibault, and Noah were having a night out and decided to order a pizza for $10. It turned out ...Read More »
- Which letter replaces the question markRead More »
- A murderer is condemned to death. He has to choose between three rooms. The first is full of raging fires, ...Read More »
- Richie established a very strange number system. According to her claim for different combination of 0 and 2 you will ...Read More »
- The result of math class test came out. Fariha’s mark was an even number. Srabon got a prime!! Nabila got ...Read More »
- Robi is a very serious student. On the first day of this year his seriousness for study was 1 hour. ...Read More »
- Ragib: I got digits of a 2 digit number Sakib: Is it an odd? Ragib: Yes. Moreover, the sum of ...Read More »
- If u r genius solve it:- 40 * 14 = 11 30 * 13 = 12 20 * 12 = ...Read More »
- When do we call “10” while looking at number “2”?Read More »