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All questions of Binary Logic for Super TET Exam

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
Correct answer is option 'A'. Can you explain this answer?

Aditya Kumar answered
Solution : 
The correct option is A.
An awaker is characterized 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.

Directions (8 -10): Refer to the passage below and answer questions given below it.
The inhabitants of the Island of Middle Andaman Island have very bright and interesting lives. Just as we earthlings have continuity in our routine lives, the inhabitants of the Island of Middle Andaman Island have continuity in both their waking lives, as well as their dreams. As a result, the inhabitants of the Island of Middle Andaman Island 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 characterized 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.
8. The Island has a King, an advisor and a Doctor. At one point, the Doctor 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 King was an Awaker and the Advisor was an Asleeper. What type is the King? 
  • a)
    Awaker 
  • b)
    Asleeper 
  • c)
    Could be either of the two types 
  • d)
    Data inconsistent
Correct answer is option 'C'. Can you explain this answer?

  1. Doctor's Initial Belief: The Doctor initially believes the King and Advisor are of different types (Awaker and Asleeper).
  2. Doctor's Changed Belief: Twelve hours later, the Doctor's belief changes due to a state change (sleeping to waking or vice versa). This change flips the truth value of everything the Doctor believes.
  3. Analyzing the Changed Belief:
    • The Doctor now believes the King is an Awaker. Let's analyze this based on the Doctor's state:
      • If the Doctor is awake now, then according to an Awaker's characteristic, everything they believe while awake is true. This would mean the King is truly an Awaker.
      • If the Doctor is asleep now, then according to an Awaker's characteristic, everything they believe while asleep is false. This would mean the King is NOT actually an Awaker (the opposite of their belief).
  4. Reaching a Conclusion: We cannot definitively say if the Doctor is awake or asleep after the state change based on the information given. However, both possibilities lead to the same conclusion:
    • If the Doctor's initial belief (King and Advisor are different types) is true:
      • Then the opposite of the Doctor's changed belief (King is NOT an Awaker) must be true. This means the King is actually an Awaker.
    • If the Doctor's initial belief is false (King and Advisor are the same type):
      • Then the Doctor's changed belief (King is an Awaker) would still be true regardless of the Doctor's state (awake or asleep) due to the characteristic of an Awaker.
Therefore, in both scenarios, the King must be an Awaker.

With reference to the previous question, what type is the Advisor?
  • a)
    Awaker 
  • b)
    Asleeper 
  • c)
    Could be either of the two types 
  • d)
    Data inconsistent
Correct answer is option 'B'. Can you explain this answer?

Pranjal Kapoor answered
Type of Advisor

The type of Advisor referred to in the previous question can be determined based on the given context and information. The answer to the question is option 'B', which means that the Advisor is an Asleeper.

Explanation:

The given question might be referring to a scenario where an Advisor is being discussed. Based on the information provided, it can be inferred that the Advisor is of a specific type. Let's discuss the possible types of Advisors:

1. Awaker: An Awaker Advisor is a type of Advisor that is always awake and ready to provide guidance or assistance. They are always available to help and support their clients.

2. Asleeper: An Asleeper Advisor, on the other hand, is a type of Advisor that is not always available and might require some time to respond to a client's query. They might be busy with other work or might not work 24/7.

Based on the information provided in the question, it is mentioned that the Advisor is of a specific type. The answer to the question is option 'B', which means that the Advisor is an Asleeper. This means that the Advisor might not be available all the time and might require some time to respond to a client's query.

Conclusion:

In conclusion, the type of Advisor referred to in the previous question is an Asleeper. This means that the Advisor might not be available all the time and might require some time to respond to a client's query.

Directions (3 -7): Read the question below very carefully and choose the correct answer for the questions that follow:
There are two types of inhabitants at Hawaii Islands – X type and Y type. The X type of inhabitants always speaks the truth and the Y type of inhabitants always lie.
John says, “I always lie.” Which type of an inhabitant is he?
  • a)
    X
  • b)
  • c)
    Either X or Y
  • d)
    The given statement infeasible.
Correct answer is option 'D'. Can you explain this answer?

Question 3: What is the subject of the sentence?

Answer: The subject of the sentence is "two types of inhabitants at Hawaii Islands."

Question 4: How many types of inhabitants are there at Hawaii Islands?

Answer: There are two types of inhabitants at Hawaii Islands.

Question 5: Can you name the two types of inhabitants at Hawaii Islands?

Answer: No, the sentence does not provide information about the two types of inhabitants.

Question 6: What is the main idea of the sentence?

Answer: The main idea of the sentence is that there are two types of inhabitants at Hawaii Islands.

Question 7: Is the sentence grammatically correct?

Answer: Yes, the sentence is grammatically correct.

Practice Quiz or MCQ (Multiple Choice Questions) with solution are available for Practice, which would help you prepare for "Binary Logic" under Logical Reasoning and Data Interpretative. You can practice these practice quizzes as per your speed and improvise the topic. The same topic is covered under various competitive examinations like - CAT, GMAT, Bank PO, SSC and other competitive examinations.
Directions (1 -2): Read the question below very carefully and choose the correct answer for the questions that follow:
On an island ‘Tristan da Cunha’ the inhabitants always answer any question with two sentences – one of which is always true and the other always false.
The Head of the island discovers illegal activities, in order to determine the identity of the culprits and also to know more about the next heist on the basis of a plane. You and what it looks like. This is what they have to say:
S: It arrives at 9:00 p.m. The colour of the plane is only red.
R: It arrives at 9:00 p.m. The colour of the plane is only red.
B: I know at what time the ship arrives. R is lying about the time of arrival.
1. At what time does the plane arrive?
  • a)
    4 p.m.
  • b)
    9:00 p.m.
  • c)
    Can’t say
  • d)
    Won’t arrive
Correct answer is 'B'. Can you explain this answer?

  • Both S and R say the plane arrives at 9:00 p.m. and the color is red. Since one of them is lying about both parts of the statement, the time could be true or false for either S or R.
  • B claims to know the ship's arrival time and says R is lying about the arrival time of the plane. This gives us two possibilities:
  • Scenario 1: If B is telling the truth about the ship and R is lying about the  plane arrival time, then the plane doesn't arrive at 9:00 p.m. (because R's statement about the time would be false).
  • Scenario 2: If B is lying about the ship and R is telling the truth about the plane arrival time, then the plane does arrive at 9:00 p.m. (because R's statement about the time would be true).
  • Looking at both scenarios, the only consistent information is that one of them (S or R) is lying about the plane's arrival time. We cannot determine for sure which one is telling the truth about the time based on the given statements.
  • Therefore, we cannot definitively say at what time the plane arrives. We only know it's either 9:00 p.m. or not 9:00 p.m.

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