Math Is Fun Forum

Innsmouth

Member

Registered: 2009-03-27

Posts: 3

Yes Answers..

The people living in a small village are supporters of either teams A, B, C or D. In terms of political parties, they are supporters of either parties E, F or G. Some of these people are liars while the rest are truth tellers. The liars lie at every answer they give, while the truth tellers always tell the truth.
The questions (first four questions were asked to all of the villagers, next three were asked to all of the male villagers, and the last three were asked to all of the female villagers) and the number of people that answered "yes" are as follows:

Do you support A ? (50 Yes answers)
Do you support B ? (60 Yes answers)
Do you support C ? (70 Yes answers)
Do you support D ? (80 Yes answers)

Do you support E ? (25 Yes answers)
Do you support F ? (30 Yes answers)
Do you support G ? (35 Yes answers)

Do you support E ? (30 Yes answers)
Do you support F ? (40 Yes answers)
Do you support G ? (50 Yes answers)

How many people are living in this village?

Enjoy!

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: Yes Answers..

mathsyperson

Moderator

Registered: 2005-06-22

Posts: 4,900

Re: Yes Answers..

Yep, that's what I got too.
I feel like more should be deducible, but I haven't got anything else yet.

Edit: OK, perhaps not. There are 8 types of people for the first part, and it looks like there are 3 degrees of freedom for solutions in those 8 variables. The second part probably has some freedom too.

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Why did the vector cross the road?
It wanted to be normal.