A says " the horse is not black" B says " the horse is either brown or grey." C says " the hoese is brown"

Question

At least one is telling truth and atleast one is lying. Tell the colour of horse

Answer 1

If A were lying, the horse would be black, which would mean B and C were lying as well. The answer is clearly not "A is lying".

If B were lying, the horse would be black, which would mean that A and C were lying as well. The answer is clearly not "B is lying".

Now that we have eliminated the possibilities that A and B are lying, and we know that there is at least one liar and one truth-teller, we can say with certainty that C is lying and (from what we saw earlier) A and B are the truth-tellers. So we know the following:

1. The horse is not black.
2. The horse is either brown or grey.
3. The horse is NOT brown.

Statements 2 and 3 together tell us that the horse is, indeed, grey.

Answer 2

Grey!

Take 3 cases for horse colour
1) Black - Implies A is lying B is lying and C is also lying
2) Brown - Implies A is te;lling the truth B is telling the truth and so is C

therefore 1) , 2) are eliminated as atleast should be is lying and one should saying the truth!

3) grey 0 Implies A is telling the truth , B is telling the truth and C is lying, Matches the required criteris(atleast 1 truth 1 lie)

Frankly th horse could be any colour other than Brown and Black
as then too the criteria would be met
e.g. say Red ( A is saying the truth, B and C ae lying!)

But grey is a little in sync with the question :)

Answer 3

The "correct" answer is the horse is grey, as many people have shown above. A can't be lying (since the horse would then be black, so that would mean everyone is lying). Given A is telling the truth, one of B or C must be lying. If C is telling the truth then B must be also, so that doesn't work, so that means C must be lying, which means the horse isn't brown so must be grey.

However, it's quite possible for the horse to be a completely different colour, say yellow, if you assume that A is telling the truth, B is lying and C is lying.

Given it never said that the horse could only be Black, Brown, or Grey, it is in fact impossible to tell what colour the horse is from these statements alone :)

Answer 4

→ This arrow represents implies.
Assuming from the information given that one of the colours is the correct colour of the horse then:

If person A is lying, then the Horse must be black. But from persons B and C, they don't have a black colour to offer.
→ Person A is telling the truth.
→ The horse is either brown or gray.

If person B is lying, then the horse won't be brown or gray, but there is no other colour to choose from.
→ Person B is telling the truth.
→ The horse is either brown or gray.

We now know one person is lying, and persons A and B are telling the truth.
→ Person C is lying.
→ The horse is not brown in colour.

The horse is not black in colour (person A).
The horse in not brown in colour(person C).
Person B has the only remaining colour - gray.

Answer, the horse is Gray..

Answer 5

Let T = truth teller, L = liar
All possible combos for A, B, and C:
Combo 1: TTL
Combo 2: TLT
Combo 3: TLL
Combo 4: LTT
Combo 5: LTL
Combo 6: LLT

Combo 1 Horse Color: black, brown/grey, black/grey
Combo 2 Horse Color: black, black, brown
Combo 3 Horse Color: black, black, black/grey
Combo 4 Horse Color: brown/grey, brown/grey, brown
Combo 5 Horse Color: brown/grey, brown/grey, black/grey
Combo 6 Horse Color: brown/grey, black, brown

Combo 1 Outcome: Conflict A-B
Combo 2 Outcome: Conflict A-C
Combo 3 Outcome: black horse OK
Combo 4 Outcome: brown horse OK
Combo 5 Outcome: grey horse OK
Combo 6 Outcome: Conflict B-C

Therefore the horse color is indeterminate, given the facts.

Answer 6

A and B are telling the truth and C is lying the horse is grey

Answer 7

A B C is this possible?
T L D No
T D L Yes
L T D No
L D T No
D L T No
D T L Yes

D is dont care, L is lie, T is true - two combinations can be valid - in each of these combinations the horse is grey.

Answer 8

If A is lying that means i.e B and C are also lying. A is telling truth.

If A is telling truth one of B and C are lying.

If B is lying i.e C is lying but not vice versa i.e If C is lying, B is not lying.

Hence A is telling truth and C is lying i.e the color of horse is Grey

Answer 9

The horse is grey.

A and B are telling the truth. C is lying (I never trusted him). There isn't any other possible combination of lying and telling the truth which doesn't contradict itself and end in paradox.

Answer 10

Grey