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1) Five children, Amelia, Bogani,Charles, Devine and Edwina, were in the classro

ID: 3092826 • Letter: 1

Question

1) Five children, Amelia, Bogani,Charles, Devine and Edwina, were in the classroom when one of thembroke a window. The teacher asked each of them to make a statementabout the event, knowing that three of them always lie and twoalways tell the truth. Their statements were asfollows: Amelia: "Charles did not break it, nordid Devine." Bogani: "I didn't break it, nor didDevine." Charles: "I didnt break it, but Edwinadid." Devine: "Amelia of Edwina brokeit" Edwina: "Charles broke it." who broke the window? a. amelia   b.bogani   c. charles   d. devine e.edwina 1) Five children, Amelia, Bogani,Charles, Devine and Edwina, were in the classroom when one of thembroke a window. The teacher asked each of them to make a statementabout the event, knowing that three of them always lie and twoalways tell the truth. Their statements were asfollows: Amelia: "Charles did not break it, nordid Devine." Bogani: "I didn't break it, nor didDevine." Charles: "I didnt break it, but Edwinadid." Devine: "Amelia of Edwina brokeit" Edwina: "Charles broke it." who broke the window? a. amelia   b.bogani   c. charles   d. devine e.edwina

Explanation / Answer

You must Assume A is a lie, b/c if its true then C & D didn'tdo it and since C states they didn't do it, that statement wouldhave to be true, and since they stay not C and it was E, D alsoblames E so there would be to many true statements, BUT if youdecide then A is lying then, and then try if B is true. A: Not C and Not D FALSE so, it is either C or D B: Not B and Not D. TRUE E: Not C Must be FALSE due to A, there fore it is C. Also, if you continue C: Not C and it was E : FALSE because it can't be E due tostatement A. D: A or E did it : FALSE due to statement A which was proved FALSEearlier. so you get, A: FALSE B: TRUE C: FALSE D: FALSE E:TURE And it thus makes C responsible.

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