Question

Question of logical deduction #2 - A typical one?!

Answer 1

In a room, there are 6 people. Some tell the truth and some tell lies.

1: No one tells the truth
2: There is at least one person telling the truth
3: There are at least two people telling the truth
4: There are at least three people telling the truth
5: There are at least four people telling the truth
6: There are at least five people telling the truth

In this room, how many person/people is/are telling the truth?

Answer 2

1?

Answer 3

My bad :|
I worked out the answer now.. it should be 3..

Answer 4

what are 1,2,3,4,5,6? statements? or cases?

Answer 5

1-> first person
2 -> 2nd person
...
6 -> 6th person
Sorry!!!

Answer 6

ohhh nevermind got it

Answer 7

thanks

Answer 8

When i doubt, always *take the middle path* :D

Answer 9

And... another problem is that.... ''at least'' is actually ''at most'' :S

Answer 10

1: No one tells the truth, this is a lie since the question already state some tell the truth and some tell lies, so there have to be someone that tells the truth making his statement a lie.

2: There is at least one person telling the truth. This is the truth because like the question already stated, someone will tell the truth. So this is the truth.

3: ........... NO WONDER CALLISTO, i was stuck here so long

Answer 11

I'm sorry!!!!!!

Answer 12

Hmm then in this case there should be 5 pple telling the truth namely, the 2nd to 6th person. How did you get 3?

Answer 13

6: By saying at most 5 people telling the truth , this obviously have to be true, cus if even one person is speaking the truth, the condition of this statement is met.

So now that you got 2 truth speakers, 3 will be true, then 4 will be true, then 5 will be true.

Leading to 5 truth-speakers.

Answer 14

But when the 3rd person says ' there are at most 2 people telling the truth'
then, the statements made by the 4th, 5th and 6th person are also true -> so there will NOT be 2 people telling the truth...

Answer 15

it's at least

Answer 16

?I dont see at most there

Answer 17

Which statement is at most and which is at least. damn im confused.

Answer 18

Please refer to the comment under apoorvk's
'' And... another problem is that.... ''at least'' is actually ''at most'' :S ''
All at least are actually at most :S
I'm sorry!

Answer 19

1: No one tells the truth
2: There is at most one person telling the truth
3: There are at most two people telling the truth
4: There are at most three people telling the truth
5: There are at most four people telling the truth
6: There are at most five people telling the truth

Is it like this?

Answer 20

OMG lolol. Nevermind it was fun working out the question (even though i got it wrongly). Thanks.

Answer 21

Yes :) where 1 -> 1st person 2-> 2nd person .... 6 = 6th person

Answer 22

It's my fault that I typed the question wrongly and hadn't checked it before posting it :(

Answer 23

Never mind =D all is good medals for all.

Answer 24

I dont understand statement 1.

Answer 25

no one tells the truth

if no one tells the truth, implies 1 itself is true which isn't possible, if one is false implying at least 1 people tell the truth, so, statement 2 should be true implying only one is telling the truth, and statement 3,4,5,6 get true too as it's at most not at least. implying 5 people tell truth?

correct me if i am wrong, i think i am wrong but i am not able to understand it

Answer 26

Similar case, if only one tells the truth, the 3, 4, 5, 6 also tells the truth, which is more than one person telling the truth. So, 2's saying is not correct.
I think..

Answer 27

Ohhhh I get it :/

Answer 28

Silly me :/

Answer 29

naah i still dont get it. i get your point and it proves my solution wrong but -sigh-

Answer 30

so, 456 tell truth?

Answer 31

Yes!~

Answer 32

thanks

Answer 33

Welcome! Thanks too!!!!