Which Statement is False - Logic Riddles with Answers

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.

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Thanks for helping those students buy the correct number of
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