### BdMO National Secondary 2015#1

Posted:

**Tue Feb 19, 2019 11:20 am**A crime is committed during the hartal.There are four witnesses.The witnesses are logicians and make the following statement:

●Witness One said exactly one of the four witnesses is a liar.

●Witness Two said exactly two of the four witnesses is a liar.

●Witness Three said exactly three of the four witnesses is a liar.

●Witness Four said exactly four of the four witnesses is a liar.

Assume that each of the statements is either true or false.How many of the winesses are liars?

●Witness One said exactly one of the four witnesses is a liar.

●Witness Two said exactly two of the four witnesses is a liar.

●Witness Three said exactly three of the four witnesses is a liar.

●Witness Four said exactly four of the four witnesses is a liar.

Assume that each of the statements is either true or false.How many of the winesses are liars?