Binary Logic Questions and Answers Part-4

Data for Questions 1 & 6 : Read the following paragraph and answer the questions that follow.
There are two types of inhabitants in Tatabalery—A type and B type. The A type of inhabitants always speak the truth and the B type of inhabitants always lie

1. Rocky says, “I always lie.” Which type of an inhabitant is he?
a) A
b) B
c) Either A or B
d) The given statement is infeasible.

Answer: d

2. Peter says, “According to Rocky. I always speak the truth.” Which of the following is a correct conclusion?
a) Peter has to be of type A
b) Peter has to be of type B
c) Rocky has to be of type A
d) Rocky has to be of type B.

Answer: c

3. Booker says. “Shane and I are of the same type.” Which of the following is a correct conclusion?
a) Booker and Shane are necessarily of the same type
b) Shane has to be of type A.
c) Booker and Shane cannot be of the same type
d) The given statement is infeasible

Answer: b

4. Ramu says “Basu and I are of different types.” Which of the following is a correct conclusion?
a) Ramu and Basu are of Type B and Type A respectively
b) Ramu and Basu cannot be of the same type.
c) Basu has to be of Type B.
d) Shyam has to be of Type B

Answer: c

5. Shane says, “Booker and I are of different types.” Which of the following is a correct conclusion?
a) Shane and Booker are of Type B and Type A respectively.
b) Shane and Booker cannot be of the same type.
c) Booker has to be of Type B.
d) None of these

Answer: c

6. Booker says, “At least one person among Shane and I always lies.” What types are Booker and Shane respectively?
a) B, A
b) B, B
c) A, B
d) It is not possible to deduce.

Answer: c

Data for Questions 7 & 9 : Refer to the passage below and answer questions given below it.
The inhabitants of the Island of Dreams have very bright and interesting lives. Just as we earthlingshave continuity in our daily lives, the inhabitants of the Island of Dreams have continuity in both their waking lives, as well as their dreams. As a result, the inhabitants of the Island of Dreams have great difficulty in knowing whether they are awake or asleep at a given time. However, the inhabitants can be classified into two broad types—Awakers and Asleepers.
An awaker is characterised by the fact that everything they believe while they are awake is true, and everything they believe while they are asleep is false. An Asleeper on the other hand, has the characteristic that everything he believes while asleep is true, and everything he believes while awake is false.

7. The Island has a President, a Prime Minister and an Entertainment Minister. At one point, the Entertainment Minister believed that his bosses were of different types. Twelve hours later, he changed his state (from sleeping to waking or from waking to sleeping), and he then believed that the President was an Awaker and the Prime Minister was an Asleeper. What type is the President?
a) Awaker
b) Asleeper
c) Could be either of the two types
d) Data inconsistent

Answer: b

8. With reference to Question 8, what type is the Prime Minister?
a) Awaker
b) Asleeper
c) Could be either of the two types
d) Data inconsistent

Answer: a

9. At one time, an inhabitant believed that he was both asleep and awake, what was he really?
a) Awaker
b) Asleeper
c) Could be either of the two types
d) Data inconsistent

Answer: d