Guest Posted February 19, 2008 Report Share Posted February 19, 2008 Your mother has seven children. The names of six children are Bobby, Benny, Billy, Brenda, Bellinda, and Betsy. -Bobby and Billy say, "Our brother, Benny, is always truthful. He always speaks the truth." -Brenda and Bellinda say, "Our brothers, Bobby and Billy, are always liars. They always speak in lies." -Benny says, "My sisters, Bella and Betsy, are always truthful. They always speak the truth." Note: Bobby, Benny, and Billy are male. Brenda, Bellinda, and Betsy are female. All the children are related by blood by the same mother. Who are the liars? And Who are truthful? ...These questions are very tricky. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 19, 2008 Report Share Posted February 19, 2008 Your mother has seven children. The names of six children are Bobby, Benny, Billy, Brenda, Bellinda, and Betsy. -Bobby and Billy say, "Our brother, Benny, is always truthful. He always speaks the truth." -Brenda and Bellinda say, "Our brothers, Bobby and Billy, are always liars. They always speak in lies." -Benny says, "My sisters, Bella and Betsy, are always truthful. They always speak the truth." Note: Bobby, Benny, and Billy are male. Brenda, Bellinda, and Betsy are female. All the children are related by blood by the same mother. Who are the liars? And Who are truthful? ...These questions are very tricky. Case 1: Bobby, Billy, Benny, Betsy and Bella are liars. (I assume Bella is the name of the seventh daughter) Brenda and Bellinda are truthful. My name is Bella. Or Case 2: Bobby, Billy, Benny, Bella and Betsy are Truthful (I assume Bella is the name of seventh daughter) Brenda and Bellinda are Liars. My name is Bella. Now both case 1 & case 2 are correct according to the problem. But if I want a single solution, I am assuming that a truthful person would say all inclusive statement. So if Brenda & Bellinda are saying truth then they mean that ONLY Bobby and Billy are Liars, and Benny is says the truth. Which is not possible from Statement 1 as it makes Benny a Liar. Hence Brenda and Bellinda are lying and so on Case 2 is true! That is: Bobby, Billy, Benny, Bella and Betsy are Truthful (I assume Bella is the name of seventh daughter) Brenda and Bellinda are Liars. My name is Bella. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 19, 2008 Report Share Posted February 19, 2008 Are Bella and Bellinda the same person??? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 19, 2008 Report Share Posted February 19, 2008 Your mother has seven children. The names of six children are Bobby, Benny, Billy, Brenda, Bellinda, and Betsy. -Bobby and Billy say, "Our brother, Benny, is always truthful. He always speaks the truth." -Brenda and Bellinda say, "Our brothers, Bobby and Billy, are always liars. They always speak in lies." -Benny says, "My sisters, Bella and Betsy, are always truthful. They always speak the truth." Note: Bobby, Benny, and Billy are male. Brenda, Bellinda, and Betsy are female. All the children are related by blood by the same mother. Who are the liars? And Who are truthful? ...These questions are very tricky. You sir are a liar, I have one sister and her name is not listed above Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 20, 2008 Report Share Posted February 20, 2008 1. Brenda and Bellind are truthful, rest are liars 2. Brenda and Bellinda are liars, rest are truthful Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 20, 2008 Report Share Posted February 20, 2008 Your mother has seven children. The names of six children are Bobby, Benny, Billy, Brenda, Bellinda, and Betsy. -Bobby and Billy say, "Our brother, Benny, is always truthful. He always speaks the truth." -Brenda and Bellinda say, "Our brothers, Bobby and Billy, are always liars. They always speak in lies." -Benny says, "My sisters, Bella and Betsy, are always truthful. They always speak the truth." Note: Bobby, Benny, and Billy are male. Brenda, Bellinda, and Betsy are female. All the children are related by blood by the same mother. Who are the liars? And Who are truthful? ...These questions are very tricky. Brenda & Bellinda are liars ... all the remaining speak truth Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 21, 2008 Report Share Posted February 21, 2008 Are Bella and Bellinda the same person??? Yes, it is simply a nickname. Just like Peg is derived from Peggy (or more correctly Margaret but you get the point). I'm gonna live forever, or die trying Quote Link to comment Share on other sites More sharing options...
0 Guest Posted February 21, 2008 Report Share Posted February 21, 2008 Yes, it is simply a nickname. Just like Peg is derived from Peggy (or more correctly Margaret but you get the point). I'm gonna live forever, or die trying I would say that its an assumption you are making on the name, NOT given in the problem. Bella can as well be another girls name. Quote Link to comment Share on other sites More sharing options...
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Your mother has seven children. The names of six children are Bobby, Benny, Billy, Brenda, Bellinda, and Betsy.
-Bobby and Billy say, "Our brother, Benny, is always truthful. He always speaks the truth."
-Brenda and Bellinda say, "Our brothers, Bobby and Billy, are always liars. They always speak in lies."
-Benny says, "My sisters, Bella and Betsy, are always truthful. They always speak the truth."
Note: Bobby, Benny, and Billy are male. Brenda, Bellinda, and Betsy are female. All the children are related by blood by the same mother.
Who are the liars? And Who are truthful?
...These questions are very tricky.
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