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NIMCET Binary Logic Puzzle PYQ

NIMCET PYQ
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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NIMCET Previous Year PYQNIMCET NIMCET 2024 PYQ

Solution

Given:

  • A says: "Yes, B is a truth-teller."
  • B says: "No, I am not a truth-teller."
  • C says: "B is a liar."

We need to determine: Who is telling the truth?

Step 1: Assume B is a truth-teller:

If **B is a truth-teller**, then B's statement "No, I am not a truth-teller" would be false, which is a contradiction because a truth-teller cannot lie.

So, **B cannot be a truth-teller**.

Step 2: Assume B is a liar:

If **B is a liar**, then B's statement "No, I am not a truth-teller" must be false, meaning B is indeed a truth-teller. But this is a contradiction because B can't be both a liar and a truth-teller.

Thus, **B must be a liar**.

Step 3: A’s statement analysis:

A says, "Yes, B is a truth-teller." Since we concluded that **B is a liar**, A's statement is false.

This means **A is a liar**.

Step 4: C’s statement analysis:

C says, "B is a liar." Since **B is indeed a liar**, C’s statement is true.

Therefore, **C is a truth-teller**.

✅ Final Answer: C is the truth-teller.

NIMCET PYQ
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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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

NIMCET PYQ
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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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

NIMCET PYQ
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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NIMCET Previous Year PYQNIMCET NIMCET 2013 PYQ

Solution

NIMCET PYQ
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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NIMCET Previous Year PYQNIMCET NIMCET 2025 PYQ

Solution



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