Phrases Previous Year Questions (PYQs) – Binary Logic Puzzle

Phrases Previous Year Questions (PYQs) – Binary Logic Puzzle

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You are on an island with two tribes. One tribe always tells the truth, and the other tribe always lies. You meet three individuals from the island A, B and C. Each individual belongs to one of the tribes. You ask each of them the same question “Is B a truthteller?” “Is B a truthteller?” 
 A says, “Yes B is a truth-teller.” 
 B says, “No, I am not a truth-teller” 
 C. Says, “B is a liar” 

 Given that each individual is either a truth-teller or a liar, who is telling the truth?

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Video Solution Discussion
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There are three switches A, B and C which can be in ON/OFF position. Their settings change as per the following rules: 
  • If A is the only switch as ON, change B to ON. 
  • If A and B are only switches as ON, change C to ON. 
  • If all three switches are ON, change C to OFF. 
  • For all other situations, all switches in ON are changed to OFF and all switches in OFF are changed to ON
If switches A and B are ON and C is OFF, their changed settings will be:

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Video Solution Discussion
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There are three switches A, B and C which can be in ON/OFF position. Their settings change as per the following rules: 
  • If A is the only switch as ON, change B to ON. 
  • If A and B are only switches as ON, change C to ON. 
  • If all three switches are ON, change C to OFF. 
  • For all other situations, all switches in ON are changed to OFF and all switches in OFF are changed to ON
If only B is ON, the changed setting will be:

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Video Solution Discussion
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There are three switches A, B and C which can be in ON/OFF position. Their settings change as per the following rules: 
  • If A is the only switch as ON, change B to ON. 
  • If A and B are only switches as ON, change C to ON. 
  • If all three switches are ON, change C to OFF. 
  • For all other situations, all switches in ON are changed to OFF and all switches in OFF are changed to ON
If only B is ON in the changed setting, which of the following could have been the original setting?

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Video Solution Discussion
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A remote island has a unique social structure. Individuals are either 'Truth-tellers' (who always speak the truth) or 'Tricksters' (who always lie). You encounter three inhabitants: X, Y, and Z.

X says: "Y is a Trickster."
Y says: "Exactly one of us is a Truth-teller."
What can you definitively conclude about Z?

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Video Solution Discussion

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