BdMO Problem 5

Probability Level 2

Poly, Mili and Lily are three sisters. Lily tells the truth on 6 days of a week. Poly tells the truth on one day of the week and Mili tells the truth on 2 days of the week. If Poly tells the truth on a day, then Mili also tells the truth on that day.

On Friday, Lily told Mili, “Today Poly will tell the truth.” But Mili said, “No. Tomorrow Poly will tell the truth.” Then Poly said, “Lily is right.”. On which day of the week does Poly tell the truth?

Sunday Saturday None of the other three options Friday

Raiyun Razeen by Raiyun Razeen , 22, Bangladesh

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1 solution

The Justist
Feb 22, 2014

If Poly speaks the truth, then Mili also speaks the truth. Therfore, if Poly spoke the truth on friday, she would also NOT speak the truth on friday as Mili said she didn't. Therefore, Poly didn't speak the truth on friday. Mili did say that Poly didn't speak the truth on friday, and therefore Mili spoke the truth. So 'tomorrow' (in this case saturday) Poly will speak the truth, as Mili spoke the truth on friday. Therfore, the answer is: Saturday.

5 Helpful 0 Interesting 0 Brilliant 0 Confused

I think u might be wrong bro ............ Mili cant speak the truth on Friday, coz if she did then poly is bound to lie on Friday......... this leads us to the fact that poly had stated that mili was right, and we know that poly himself had lied then the correct statement must be " mili is wrong" .

Mayank Holmes - 7 years, 2 months ago

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