out of any two polititions ,one is a liar

1,504.2K Views

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?

arjun00848 Expert Asked on 15th August 2015 in

1 is honest and other 99 are liars.

silent47 Expert Answered on 15th August 2015.

Explanation:
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.

Anshika Starter Answered on 31st May 2019.

• More puzzles to try-

• How many “red” words are in the sentence below?

First of all, I would redefine the concept of thegreen synthesis, because I don’t want to reducethis to an obvious ...Read More »
• Solve by Name Puzzle

Solve the puzzle by telling what does below picture means.Read More »
• How do you get out alive?

Imagine you are swimming in the ocean and a bunch of hungry sharks surround you. How do you get out ...Read More »
• How will dwarfs solve this problem?

Most people solve this riddle immediately or it gives them really hard time. Although it might seem that solution doesn’t ...Read More »
• Candies interview puzzle

In a closed jar, There are Three strawberry candies, Two mango candies and Five pineapple candies. You can’t see inside ...Read More »
• 508 Matchstick Puzzle

Moving only two sticks from the number formed with matchsticks, what is the largest number that you can get?Read More »
• Round the earth riddle

The circumference of the Earth is approximately 40,000 kilometers, and someone has just made a metal band that circles the ...Read More »
• Band never play music

What kind of band never plays music?Read More »
• Why did the man thank the bartender?

A man runs into a bar and asks for a glass of water. The bartender pulls out a shotgun and ...Read More »
• Why did he die?

A man died in a telephone box with the sides smashed in, his hands are covered in blood and the ...Read More »
• Cricket Terminology Puzzle

Which cricket terminology does this text mean? GNIWSRead More »
• Whats going on riddle

A man leaves home, turns left, goes straight, turns left again, goes straight and turns left once more then returns ...Read More »
• Divide The Number

Divide 110 into two parts so that one will be 150 per cent of the other. What are the 2 ...Read More »
• The sword of truth Puzzle

The sword of truth. The abilities of the swords can only be used once. After the usage of the ability, ...Read More »
• Always like you

He moves like you in every way. Look at him he wants to play. Be tricky, but the result is ...Read More »
• Deduce the figure

Can you make 2 squares and 4 right angled triangles using only 8 straight lines?Read More »
• How many right angles appear in the following image?

How many right angles appear in the following image?Read More »
• The Fruit Vendor

A fruit vendor bought 100 pounds of berries for \$2.00 per pound and expected to double his investment by selling ...Read More »
• Who are the killers?

A very famous chemist was found murdered in his kitchen today. The police have narrowed it down to six suspects. ...Read More »
• A cowboy riddle

A cowboy rode to an inn on Friday. He stayed two nights and left on Friday. How could that be?Read More »