Analytical Question 2 help!!!!!

bladez87 SG

lets say day 1 he lies, so does it mean he is telling the truth on monday and tuesday? doesnt make sense lol

Icemoon SG

monday lie and tuesday lie.

the negation is monday tell the truth or tuesday tell the truth.

from de morgan's theorem.

dinky1409 SG

Lets take day 1 as the truthful day. This means that day 2 and day 3 are lying days. Day 2 is a lying day which means day 2 must be a monday, wednesday or a friday. Day 3 is a lying day which means either Wednesday or Friday is a truthful day.

If Wednesday is the truthful day, it is Day 1. Which means day 2 has to be a thursday but look above? Day 2 must be a monday, wednesday or friday. so Wednesday is not the truthful day.

If Friday is the truthful day, which is Day 1, Day 2 is a saturday, look above again. Not possible so Friday is not the truthful day.

Combination of day 1 truthful and day 3 lying is not possible, therefore concluded that Day 1 is NOT the truthful day.

Day 2 as truthful day? Means day 1 and day 3 are lying days. Day 1 is a lying day which means either monday or tuesday is a truthful day. Day 3 is also a lying day which means either Wednesday or Friday is a truthful day. Therefore, day 2 being a truthful day is not possible.

This means Day 3 is the truthful day. This means day 1 and day 2 are lying days. Day 1 is a lying day which means either monday or tuesday is a truthful day. Day 2 is a lying day which means day 2 must be a monday, wednesday or a friday.

Now can see already. Day 3 is either a monday or tuesday because day 1 is a lying day. If day 3 is a monday, that makes day 2 a tuesday but its not.(see above). If day 3 is a tuesday, that makes day 2 a monday, which is possible(see above), and day 1 a sunday.

Therefore, the conclusion is that Garfield tells the truth on Day 3 which is a Tuesday.

Icemoon SG

To TS:

I believe dinky1409 is pretty clear on the method and explanation. Notice dinky1409 tackled the problem from the day 1, 2 and 3.

Alternatively, you can just enumerate through all the days of the week and slowly eliminate.

In short, you just take day 3 to be the day you are enumerating through. which means day 3 is the day he is telling the truth. this will in turn means day 2 and day 1 statements must be false.

so if day 3 is sunday, day 2 statement is true .. contradiction.
so if day 3 is saturday, day 1 statement is true .. contradicition.
so if day 3 is friday, day 2 statement is true .. contradiction.
so if day 3 is thursday, day 1 statement is true .. contradiction.
so if day 3 is wednesday, day 1 statement is true .. contradiction.
so if day 3 is tuesday, day 2 statement is false and day 1 statement is false.
so if day 3 is monday, day 2 statement is true .. contradiction.

remember .. the key is to find a contradiction.

bxang SG

Aiya.. so many boliao really ans this question. lolx… anyhow Sunday is the truthful day la! since Garfield dun lie on the seventh day of the week…

gd4u SG

Wah, suddenly so many ppl from SMU ar ... lol

fymk SG

If the statement on day 1 is untrue = he tells the truth on Monday or Tuesday.

If the statement on day 3 is untrue = he tells the truth on Wednesday or Friday.

Since Garfield tells the truth on only one day = cannot both be untrue.

Assume that the statement on day 1 is true.

Then the statement on day 3 must be untrue, from which follows that Garfield tells the truth on Wednesday or Friday.

So, day 1 is a Wednesday or a Friday. Therefore, day 2 is a Thursday or a Saturday.

However, this would imply that the statement on day 2 is true, which is impossible. From this we can conclude that the statement on day 1 must be untrue.

Assume that Garfield told the truth on day 3 and that this day is a Monday or a Tuesday. So day 2 is a Sunday or a Monday. Because the statement on day 2 must be untrue --> day 2 = Monday.

So day 3 is a Tuesday. Therefore, the day on which he tells the truth is Tuesday.

mystiv SG

yay, im right Laughing

fymk SG

Not from SMU

Was a student overseas once and got paid as a test subject doing those stupid logic questions because they pay 20 dollars per hour.

« Previous Page