Logic problem - 2 strings

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Idrinkyourhealth

You have 2 matches (strings that burn, used for explosives) of 50cm each 1.

Calculate exactly 45 min using these 2 matches and a cigarrete lighter knowing that each match burns in 60 min.

*Note: the matches have irregular width, so you are not able to know how many cm will be burnt in X minutes.

Casual_Joe

Start by simultaneously lighting both ends of 1 match and 1 end of the other match.  When the two burning ends of the first match meet, light the second end of the second match.  When the two ends of the second match meet, that will mark 45 minutes.

(Heard this on Car Talk a few years back.)

notmtwain

We generally call these strings that burn that are used for explosives "fuses".

Idrinkyourhealth

Ok, solved by Casual_Joe. Do you know more logic problems harder than this 1 ?

MrEdCollins
Idrinkyourhealth wrote:

Ok, solved by Casual_Joe. Do you know more logic problems harder than this 1 ?

I have a very small collection (30) of logic problems on my website, that I've enjoyed.  You might enjoy a few of them.

Idrinkyourhealth

Thankkks

pelly13

There are a totall of 9 eggs all of same size and weight. Except for one which is slightly heavier. Your task is to find out which is the heaviest egg.

For this , you can use a balance. You can put eggs in the left and in the right scale. Rule is : You are only allowed only two measurements, you can use the scale only twice.

How do you go about it ? Cam you find the odd egg ?

Idrinkyourhealth

There are 10 eggs in total or 8+1?

rooperi

@pelly

Measure 1:

put 3 eggs on each side

If they are the same, the heavier egg is amongst the other 3

Measure 2

From the heaviest group, place one on each side, if the same, the leftover is heaviest

Idrinkyourhealth

Supposing that total is 9:

1st measure: 3 right - 3 left

2nd meas. : u know which 3 contain the heavy 1, so 1 righ - 1 left and if they weigh same then the other 1 is the heavy

Gil-Gandel

Three married couples have to cross a river using a boat that can hold only two people, but which can be rowed by one (the women and men all row well enough to manage the boat single-handed if they have to). Unfortunately it is considered an unbreakable taboo for a married woman to be anywhere with another man if her husband is not also present - even if the other man's wife is there. We might call husbands like that controlling and jealous, but the wives expect their husbands to feel that way, and would feel they weren't loved if he didn't.

So... how do we get Mr and Mrs A, Mr and Mrs B, and Mr and Mrs C, across the river without marital disharmony?

ILuvPawn

1. Mr. and Mrs. A go across. Mr. A comes back.

2. Mr. and Mrs. B go across. Mr. B comes back.

3. Mr. A and Mr. B go across. Mr. and Mrs. B come back.

4. Mr. B and Mr. C go across. Mr. C comes back.

5. Mrs. B and Mrs. C go across. Mrs. C comes back.

6. Mr. C and Mrs. C go across.

Gil-Gandel

No - when Mr and Mrs B arrive, Mrs A is with Mr B for the time it takes to change over, and Mr A isn't there. The prohibition is quite absolute so this isn't allowed.

Idrinkyourhealth

Hey nice 1... i think i got it

1- mrA+mrsA - mrA crossed; turns mrsA

2-mrsA+mrsB - mrsA crossed turns mrsB

3-mrsB+mrB - mrB crossed turns mrsB

4-mrsB+mrsC -mrsB crossed turns mrsC

5-mrsC+mrC - both crossed (6/6 crossed)

Gil-Gandel

No, when Mrs A returns with the boat she is going to be on the same side of the river as Mr B (and Mr C) while her husband is on the other side. It doesn't matter that she immediately crosses again with another wife.

Remellion

Mrs. B and C across, A back, Mrs. A and C across, A back again.

Mr. B and C across, Mr. and Mrs. B back.

Mr. A and B across. Mrs. C back, and she fetches the 2 one at a time.

 

Now do 4 couples with a boat holding 3 people.

Gil-Gandel

(Yes.)

Daniel_Pi

Three easy ones:

1. A man was being tried for participation in a robbery. The prosecutor and the defense attorney made the following statements: 

Prosecutor: "If the defendant is guilty, then he had an accomplice."
Defense Attorney: "That's not true!"

Why was this the worst thing the defense attorney could have said?

2. In a trial involving three men, A, B, and C, for participation in a robbery, the following two facts were established:

(i) If A is innocent or B is guilty, then C is guilty.
(ii) If A is innocent, then C is innocent.

Can the guilt of any particular one of the three be established?

3. Start with the same setup as the previous problem (three men on trial for a robbery), except in this case, the following facts were established:

(i) At least one of the three is guilty.
(ii) If A is guilty and B is innocent, then C is guilty.

This evidence is insufficient to convict any of them, but it does point to two of them such that one of these two has to be guilty. Which two are they?

Daniel_Pi

Three subjects - A, B, and C - were all perfect logicians. Each could instantly deduce all consequences of any set of premises. Also, each was aware that each of the others was a perfect logician. The three were shown seven stamps: two red, two yellow, and three green.

They were then blindfolded, and a stamp was pasted on each of their foreheads; the remaining stamps were placed in a drawer. When the blindfolds were removed, A was asked, "Do you know one color that you definitely do not have?" A replied, "No." Then B was asked the same question and replied, "No." 

Is it possible, from this information, to deduce the color of A's stamp, or of B's, or of C's?

Daniel_Pi

And then, of course, there's the granddaddy of them all:

Three gods A, B, and C are called "True," "False," and "Random" (but not necessarily in that order). True always speaks truly, False always speaks falsely, but whether Random speaks truly or falsely is a completely random matter. Your task is to determine the identities of A, B, and C by asking three yes-no questions; each question must be put to exactly one god. The gods understand English, but will answer all questions in their own language, in which the words for "yes" and "no" are "da" and ja," but you do not know which word means which. 

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