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stion 10 vet answere nts out of 1.00 The police rounded up 35 people suspected o

ID: 2039263 • Letter: S

Question

stion 10 vet answere nts out of 1.00 The police rounded up 35 people suspected of robbing a bank Each person was assigned a number from 1 to 35. After a short investigat arrested-num ers only one of these statements is true, who robbed the bank? ion, three of them were en #31:.12 s guiltv1f 2,417 anda31 ade the ollowing statements ur erintensive questioning #12. I minnocent #17. I minn e Note: Do not use the symbol # in your answer. Your answer should be just a number. Previous page You are logged in as Olivert Mbah (Log out)

Explanation / Answer

For Each statemnt

1)
let #12 speaks truth
#17 is lying that is he is inncoent
and #31 is lying that is #12 is guilty
in this case we get one persons who speak truth
#12 so both are lying that is proved
2)
now let say #17 is saying truth
then #12 is lying
that he is inncoent
and #31 says #12 is guilty
that is true because from #12 staement we can conclude that
so in this case we have two truth tellers
#17,#31 so liare can't be veified from this
3)
now take #31 as truth
that #12 is gulty
then both #12 and #17 telling lie that is
two person is telling truth
that is #31,#17

so from all above assumptions
we get that
whan #12 says the truth and #17 robbed the bank
because #31 said #12 is guilty and that we proved false in