top button
Flag Notify
    Connect to us
      Site Registration

Site Registration

What is the minimum number of people who know everyone else in the group of 100 people...

0 votes
139 views

There are 100 people in a group. We know that, among any four people, at least one knows all the other three. What is the minimum number of people who know everyone else in the group of 100 people?

posted Sep 6, 2017 by anonymous

Looking for solution? Promote on:
Facebook Share Button Twitter Share Button LinkedIn Share Button




Similar Puzzles
0 votes

I have a puzzle consisting of 100 (10x10) pieces.

What is the minimum number of pieces I have to draw randomly from a pile to be guaranteed that I can join them all together so that no piece is isolated (i.e. not joined to any other piece)?

Details and Assumptions:
Every piece is equally likely to be picked. I don't look whether the first piece has a straight edge or similar tricks.
Every piece only fits together with its neighboring pieces, and there is a unique solution to the puzzle.
Two pieces that only share a corner are not considered "joined."

0 votes

Kajal is teaching a class of thirty pupils,
of which fourteen are girls.
She knows that there are twenty-two pupils who are right-handed.

What is the minimum number of girls
who are right handed in this class?

0 votes

Out of 100 women surveyed leaving Shoppers Stop, 83 had a white bag, 77 had black shoes, 62 carried an umbrella and 95 wore a ring.
What is the minimum number of women who must have had all four items?

0 votes

On ladies night, there are 50 people at a club of which only 20 of them are female. What is the minimum number of people that the bouncer must let in, so that there are at least as many females as there are males?

0 votes

A group of cops are after a murderer. They do not know anything about the suspect, only the name, which is Carl.

One day, the cops knew where the suspect is, which is inside an old apartment. When the cops went in, they saw 4 people inside.

A Carpenter
A mechanic
A maintenance man
A bus driver

The cops arrested the suspect. Who, how and why?

...