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Four friends - A, B, C and D - belong to an island, in which each person belongs to one of the three tribes - Truth tellers, Alternators and Liars. Truth tellers always tell the truth, Alternators alternate between true and false statements, in any order and Liars always lie. A, B, C and D earn their respective livelihoods as a Banker, a Journalist, an Engineer and a Doctor, not necessarily in the same order. When asked about the tribes and how they earn their livelihoods, each of them made exactly three statements. B made his first and third statements in the local language, which was incomprehensible, but made his second statement in English. However, A, C and D made all their statements in English.
A:
Statement 1: B’s first statement is that, “C is either a Journalist or a Doctor.” Statement 2: C is not a Truth teller.
Statement 3: B is an Engineer.
B:
Statement 1: Aabra ka Daabra.
Statement 2: Atleast one of my statements is false.
Statement 3: Daan a kun.
C:
Statement 1: A is a Doctor.
Statement 2: B’s third statement is that, “D is a truth teller.” Statement 3: D is neither a Journalist nor an Engineer.
D:
Statement 1: C made exactly one true statement.
Statement 2: Exactly two of us are truth tellers.
Statement 3: C is a Journalist.
Among A, B, C and D, at least one person of each tribe is present.
 
Q. How many of the statements made were true?
  • a)
    3
  • b)
    4
  • c)
    5
  • d)
    6
  • e)
    7
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Four friends - A, B, C and D - belong to an island, in which each pers...
Consider the table obtained in the solution to the first question.
Since C is a truth teller, all the three statements made by him were true and the second statement of B was true.
A and D being liars, all the statements made by them were false.
Hence, there were four true statements.
Hence, option 2.
This question is part of UPSC exam. View all CAT courses
Most Upvoted Answer
Four friends - A, B, C and D - belong to an island, in which each pers...
Analysis:
- To solve this problem, we need to carefully analyze the statements made by each person and identify the true statements.
- Since at least one person from each tribe is present, we can eliminate the possibility of all of them belonging to the same tribe.

A's Statements:
- A's first statement implies that C cannot be a Truth teller.
- A's second statement suggests that C is not a Truth teller.
- A's third statement reveals that B is an Engineer.

B's Statements:
- B's first statement is in the local language.
- B's second statement implies that at least one of his statements is false.
- B's third statement is in the local language.

C's Statements:
- C's first statement states that A is a Doctor.
- C's second statement contradicts B's third statement.
- C's third statement indicates that D is neither a Journalist nor an Engineer.

D's Statements:
- D's first statement implies that C made a true statement.
- D's second statement reveals that there are exactly two Truth tellers among them.
- D's third statement suggests that C is a Journalist.

True Statements:
- From the analysis, we can identify that the following statements are true:
1. A's third statement: B is an Engineer.
2. B's second statement: At least one of my statements is false.
3. D's second statement: Exactly two of us are truth tellers.
Therefore, there are a total of 4 true statements made by A, B, C, and D.
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Four friends - A, B, C and D - belong to an island, in which each person belongs to one of the three tribes - Truth tellers, Alternators and Liars. Truth tellers always tell the truth, Alternators alternate between true and false statements, in any order and Liars always lie. A, B, C and D earn their respective livelihoods as a Banker, a Journalist, an Engineer and a Doctor, not necessarily in the same order. When asked about the tribes and how they earn their livelihoods, each of them made exactly three statements. B made his first and third statements in the local language, which was incomprehensible, but made his second statement in English. However, A, C and D made all their statements in English.A:Statement 1: B’s first statement is that, “C is either a Journalist or a Doctor.” Statement 2: C is not a Truth teller.Statement 3: B is an Engineer.B:Statement 1: Aabra ka Daabra.Statement 2: Atleast one of my statements is false.Statement 3: Daan a kun.C:Statement 1: A is a Doctor.Statement 2: B’s third statement is that, “D is a truth teller.” Statement 3: D is neither a Journalist nor an Engineer.D:Statement 1: C made exactly one true statement.Statement 2: Exactly two of us are truth tellers.Statement 3: C is a Journalist.Among A, B, C and D, at least one person of each tribe is present.Q.How many of the statements made were true?a)3b)4c)5d)6e)7Correct answer is option 'B'. Can you explain this answer?
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Four friends - A, B, C and D - belong to an island, in which each person belongs to one of the three tribes - Truth tellers, Alternators and Liars. Truth tellers always tell the truth, Alternators alternate between true and false statements, in any order and Liars always lie. A, B, C and D earn their respective livelihoods as a Banker, a Journalist, an Engineer and a Doctor, not necessarily in the same order. When asked about the tribes and how they earn their livelihoods, each of them made exactly three statements. B made his first and third statements in the local language, which was incomprehensible, but made his second statement in English. However, A, C and D made all their statements in English.A:Statement 1: B’s first statement is that, “C is either a Journalist or a Doctor.” Statement 2: C is not a Truth teller.Statement 3: B is an Engineer.B:Statement 1: Aabra ka Daabra.Statement 2: Atleast one of my statements is false.Statement 3: Daan a kun.C:Statement 1: A is a Doctor.Statement 2: B’s third statement is that, “D is a truth teller.” Statement 3: D is neither a Journalist nor an Engineer.D:Statement 1: C made exactly one true statement.Statement 2: Exactly two of us are truth tellers.Statement 3: C is a Journalist.Among A, B, C and D, at least one person of each tribe is present.Q.How many of the statements made were true?a)3b)4c)5d)6e)7Correct answer is option 'B'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Four friends - A, B, C and D - belong to an island, in which each person belongs to one of the three tribes - Truth tellers, Alternators and Liars. Truth tellers always tell the truth, Alternators alternate between true and false statements, in any order and Liars always lie. A, B, C and D earn their respective livelihoods as a Banker, a Journalist, an Engineer and a Doctor, not necessarily in the same order. When asked about the tribes and how they earn their livelihoods, each of them made exactly three statements. B made his first and third statements in the local language, which was incomprehensible, but made his second statement in English. However, A, C and D made all their statements in English.A:Statement 1: B’s first statement is that, “C is either a Journalist or a Doctor.” Statement 2: C is not a Truth teller.Statement 3: B is an Engineer.B:Statement 1: Aabra ka Daabra.Statement 2: Atleast one of my statements is false.Statement 3: Daan a kun.C:Statement 1: A is a Doctor.Statement 2: B’s third statement is that, “D is a truth teller.” Statement 3: D is neither a Journalist nor an Engineer.D:Statement 1: C made exactly one true statement.Statement 2: Exactly two of us are truth tellers.Statement 3: C is a Journalist.Among A, B, C and D, at least one person of each tribe is present.Q.How many of the statements made were true?a)3b)4c)5d)6e)7Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four friends - A, B, C and D - belong to an island, in which each person belongs to one of the three tribes - Truth tellers, Alternators and Liars. Truth tellers always tell the truth, Alternators alternate between true and false statements, in any order and Liars always lie. A, B, C and D earn their respective livelihoods as a Banker, a Journalist, an Engineer and a Doctor, not necessarily in the same order. When asked about the tribes and how they earn their livelihoods, each of them made exactly three statements. B made his first and third statements in the local language, which was incomprehensible, but made his second statement in English. However, A, C and D made all their statements in English.A:Statement 1: B’s first statement is that, “C is either a Journalist or a Doctor.” Statement 2: C is not a Truth teller.Statement 3: B is an Engineer.B:Statement 1: Aabra ka Daabra.Statement 2: Atleast one of my statements is false.Statement 3: Daan a kun.C:Statement 1: A is a Doctor.Statement 2: B’s third statement is that, “D is a truth teller.” Statement 3: D is neither a Journalist nor an Engineer.D:Statement 1: C made exactly one true statement.Statement 2: Exactly two of us are truth tellers.Statement 3: C is a Journalist.Among A, B, C and D, at least one person of each tribe is present.Q.How many of the statements made were true?a)3b)4c)5d)6e)7Correct answer is option 'B'. Can you explain this answer?.
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However, A, C and D made all their statements in English.A:Statement 1: B’s first statement is that, “C is either a Journalist or a Doctor.” Statement 2: C is not a Truth teller.Statement 3: B is an Engineer.B:Statement 1: Aabra ka Daabra.Statement 2: Atleast one of my statements is false.Statement 3: Daan a kun.C:Statement 1: A is a Doctor.Statement 2: B’s third statement is that, “D is a truth teller.” Statement 3: D is neither a Journalist nor an Engineer.D:Statement 1: C made exactly one true statement.Statement 2: Exactly two of us are truth tellers.Statement 3: C is a Journalist.Among A, B, C and D, at least one person of each tribe is present.Q.How many of the statements made were true?a)3b)4c)5d)6e)7Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. 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However, A, C and D made all their statements in English.A:Statement 1: B’s first statement is that, “C is either a Journalist or a Doctor.” Statement 2: C is not a Truth teller.Statement 3: B is an Engineer.B:Statement 1: Aabra ka Daabra.Statement 2: Atleast one of my statements is false.Statement 3: Daan a kun.C:Statement 1: A is a Doctor.Statement 2: B’s third statement is that, “D is a truth teller.” Statement 3: D is neither a Journalist nor an Engineer.D:Statement 1: C made exactly one true statement.Statement 2: Exactly two of us are truth tellers.Statement 3: C is a Journalist.Among A, B, C and D, at least one person of each tribe is present.Q.How many of the statements made were true?a)3b)4c)5d)6e)7Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Four friends - A, B, C and D - belong to an island, in which each person belongs to one of the three tribes - Truth tellers, Alternators and Liars. 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Truth tellers always tell the truth, Alternators alternate between true and false statements, in any order and Liars always lie. A, B, C and D earn their respective livelihoods as a Banker, a Journalist, an Engineer and a Doctor, not necessarily in the same order. When asked about the tribes and how they earn their livelihoods, each of them made exactly three statements. B made his first and third statements in the local language, which was incomprehensible, but made his second statement in English. However, A, C and D made all their statements in English.A:Statement 1: B’s first statement is that, “C is either a Journalist or a Doctor.” Statement 2: C is not a Truth teller.Statement 3: B is an Engineer.B:Statement 1: Aabra ka Daabra.Statement 2: Atleast one of my statements is false.Statement 3: Daan a kun.C:Statement 1: A is a Doctor.Statement 2: B’s third statement is that, “D is a truth teller.” Statement 3: D is neither a Journalist nor an Engineer.D:Statement 1: C made exactly one true statement.Statement 2: Exactly two of us are truth tellers.Statement 3: C is a Journalist.Among A, B, C and D, at least one person of each tribe is present.Q.How many of the statements made were true?a)3b)4c)5d)6e)7Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Four friends - A, B, C and D - belong to an island, in which each person belongs to one of the three tribes - Truth tellers, Alternators and Liars. Truth tellers always tell the truth, Alternators alternate between true and false statements, in any order and Liars always lie. A, B, C and D earn their respective livelihoods as a Banker, a Journalist, an Engineer and a Doctor, not necessarily in the same order. When asked about the tribes and how they earn their livelihoods, each of them made exactly three statements. B made his first and third statements in the local language, which was incomprehensible, but made his second statement in English. However, A, C and D made all their statements in English.A:Statement 1: B’s first statement is that, “C is either a Journalist or a Doctor.” Statement 2: C is not a Truth teller.Statement 3: B is an Engineer.B:Statement 1: Aabra ka Daabra.Statement 2: Atleast one of my statements is false.Statement 3: Daan a kun.C:Statement 1: A is a Doctor.Statement 2: B’s third statement is that, “D is a truth teller.” Statement 3: D is neither a Journalist nor an Engineer.D:Statement 1: C made exactly one true statement.Statement 2: Exactly two of us are truth tellers.Statement 3: C is a Journalist.Among A, B, C and D, at least one person of each tribe is present.Q.How many of the statements made were true?a)3b)4c)5d)6e)7Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice CAT tests.
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