## Which Statement is False – Logic Riddles with Answers

After successfully solving the password riddle, the uninvited guest manage to

sneak into the party.

Question :

**At a Birthday Party,**

**1. There were 9 men and children.**

**2. There were 2 more women than children.**

**3. The number of different man-woman couples possible is 24.**

** E.g. If there were 9 men and 5 women, then there would be**

** 45 man-woman couples possible.**

**4. There were one group of 4 people.**

**5. There were one group of 6 people.**

**6. There were one group of 8 people.**

**One of the above statement is false, which one is it?**

**Also, how many men, women and children are at the party?**

[ Try your Best before Scroll down for the answer ]

Logic Riddle Answer:

**Statement 4 is false.**

**There are 3 men, 8 women and 6 children at the party.**

How is the answer derived ?

Let’s tackle it via logical elimination method.

**Assume that all three statements 4, 5, 6 are true. **

**Then statement 1 is false.**

**But both statements 2 and 3 cannot be true either, thus we **

**can conclude that one of the three statements 4, 5, 6 must be **

**false and all three statements 1, 2, 3 are true.**

**From statements 1 and 2, we know that there are 11 men and women.**

**Then from statement 3, there are 2 possibilities, **

**either there are 8 men and 3 women or 3 men and 8 women.**

**If there are 8 men and 3 women, then there is only 1 child (statement 2)**

**which will make both statements 4 and 5 false. We know that only one**

**statement is false, hence this possibility is eliminated.**

**If there are 3 men and 8 women, it will mean that there are 6 children**

**(statement 2). Bingo!! Statement 4 is false.**

A group of Singapore 2017 PSLE math exam students need help with

buying some ribbon tapes for a party. Do you know how many

tapes are needed ?

Thanks for helping those students buy the correct number of

ribbon tapes.

There are 4 Hunger Hikers trying to cross a bridge in 17 minutes time,

please help them before the candle lantern light goes off, time is

precious, hurry……