Binary Logic Questions and Answers Part-3

Data for Questions 1 & 5 : In the parliament of the Ravindra Rami, all members have a peculiar habit. Of any two sentences theyspeak, one is false and the other is true. You record the statements of three sitting members: Rozor, Sam, and Michael.
Rozor: The President claims he is the President. I am the President.
Sam: I am the President. Rozor is the President.
Michael: I am the President. Sam knows who is the President.

1. The real President can be determined from
a) Sam’s and Rozor’s statements alone.
b) Sam’s and Michael’s statements alone
c) Michael’s and Rozor’s statements alone
d) None of the above.

2. If Rozor’s first statement is false, which of the following cannot be President?
a) Sam
b) Rozor
c) Michael
d) Rozor’s first statement cannot be false.

3. Who is the President?
a) Sam
b) Rozor
c) Michael
d) Can’t be determined

4. Whose first statement is true?
a) Sam and Michael
b) Michael and Rozor
c) Sam and Rozor
d) Can’t be determined

5. Whose first statement is false?
a) Sam
b) Rozor
c) Michael
d) Sam and Michael

6. You are asked to solve the mystery of who murdered Manmohan, the most influential resident of the village. You question three suspects:
Ali says, ‘‘It was me who killed Manmohan. It was Saif.”
Saif says, ‘‘It was me who killed Manmohan. It was Ramu.”
Ramu says, ‘‘It was not me who killed Manmohan. It was not Ali.”
Who murdered Manmohan ?
a) Ali
b) Saif
c) Ramu
d) Such a situation is not possible

Data for Questions 7 & 10 : The following questions are based on an island called Gutar Gooon which there are only two kinds of inhabitants:
Type X: people who always speak the truth; and
Type Y: people who always lie.

7. You go to the island and see a group of three people—Arun, Bakshi and Calvin. You ask Arun, “How many type X’s are there amongst you?” Unfortunately, Arun’s reply is drowned by some noise and you ask Bakshi, “What did Arun say?” Bakshi says, “Arun said that there is one type X among us.” However, Calvin immediately says, “ Don’t believe Bakshi, he is lying.”
Which of the following is true?
a) Bakshi is a type X
b) Arun is a type Y.
c) Calvin is a type X
d) None of these

8. You are very intrigued. You decide to find out more. You question two other persons—Manoj and Hemant. Manoj says, “At least one of us is a type Y.”
Which of the following is true?
a) Manoj is type X
b) Hemant is a type X.
c) Both (a) and (b)
d) None of these

9. You are further intrigued and decide to continue further on into the island of Gutar Goo. Coming across a group of three persons—Raju, Golu, and Suyash—you hear them make two statements:
Raju: “All of us are type Y’s”.
Golu: “Exactly one of us is a type X.”
Which of the following is true?
a) Raju is type Y
b) Golu is a type X.
c) Suyash is a type Y
d) All of these