Browse Teasers
Search Teasers

## Sweaty Chef's Xmas Party

Logic puzzles require you to think. You will have to be logical in your reasoning.

 Puzzle ID: #8567 Fun: (2.32) Difficulty: (2.45) Category: Logic Submitted By: mad-ade

At the Christmas party of the "Sweaty Chef" kebab shop, the owner Mr Juan, took note of how many people were present. Although he was a bit tipsy when he made his note, and thus made a mistake. His notes were as follows:-

1, There were 9 men and children.

2, There were 2 more women than children.

3, The number of different man-woman couples possible was 24. Note that if there were 7 men and 5 women, then there would have been 35 man-woman couples possible.

Also, of the three groups - men, women and children - at the party:

4, There were 4 of one group.

5, There were 6 of one group.

6, There were 8 of one group.
Exactly one of the above 6 statements is false.

Can you tell which one is false? Also, how many men, women and children are there at the party?

Statement (4) is false. There are 3 men, 8 women and 6 children.
Assume that Statements (4), (5) and (6) are all true. Then, Statement (1) is false. But then Statement (2) and (3) both can not be true. Thus, contradictory to the fact that exactly one statement is false.

So Statement (4) or Statement (5) or Statement (6) is false. Also, Statements (1), (2) and (3) all are true.

From (1) and (2), there are 11 men and women. Then from (3), there are 2 possible cases - either there are 8 men and 3 women or there are 3 men and 8 women.

If there are 8 men and 3 women, then there is 1 child. Then Statements (4) and (5) both are false, which is not possible.

Hence, there are 3 men, 8 women and 6 children. Statement (4) is false.

Hide

## What Next?

See another brain teaser just like this one...

Or, just get a random brain teaser

If you become a registered user you can vote on this brain teaser, keep track of
which ones you have seen, and even make your own.

#### Users in Chat : dewtell, sciencesteven

Online Now: 5 users and 771 guests