mixed_group_complex Beginner-Intermediate Worksheet: Focus on common variations practice mixed_group_complex BEGINNER INTERMEDIATE

Level up your mixed_group_complex skills! You're at Worksheet 4 of 10 (33% through this series). This step-up challenge worksheet features 20 beginner-intermediate-level problems with a focus on common variations practice. Topics covered: mixed_group_complex for competitive exams, how to solve mixed_group_complex, mixed_group_complex tricks.

📝 Worksheet 4 of 10 • 20 questions • ⏱️ Estimated time: 20 minutes • 🎯 Beginner Intermediate level

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Worksheet 4 of 10 (33% complete)

Question 1

Harsha says: 'I always tell the truth' Neha says: 'Farhan is a truth-teller' Farhan says: 'Sometimes I lie, sometimes I tell truth' Rahul says: 'Sanjay is a liar' Sanjay says: 'Rahul is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Harsha claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Harsha is likely truth-teller.
- Neha claims 'Farhan is truth-teller'. Without knowing Farhan's type, this is ambiguous.
- Farhan admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Rahul and Sanjay make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Farhan's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Farhan is the alternator.

Question 2

Vikram says: 'I always tell the truth' Kiran says: 'Farhan is a truth-teller' Farhan says: 'Sometimes I lie, sometimes I tell truth' Priya says: 'Harsha is a liar' Harsha says: 'Priya is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Vikram claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Vikram is likely truth-teller.
- Kiran claims 'Farhan is truth-teller'. Without knowing Farhan's type, this is ambiguous.
- Farhan admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Priya and Harsha make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Farhan's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Farhan is the alternator.

Question 3

Kiran says: 'I always tell the truth' Gaurav says: 'Farhan is a truth-teller' Farhan says: 'Sometimes I lie, sometimes I tell truth' Divya says: 'Rahul is a liar' Rahul says: 'Divya is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Kiran claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Kiran is likely truth-teller.
- Gaurav claims 'Farhan is truth-teller'. Without knowing Farhan's type, this is ambiguous.
- Farhan admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Divya and Rahul make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Farhan's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Farhan is the alternator.

Question 4

Harsha says: 'I always tell the truth' Neha says: 'Rohan is a truth-teller' Rohan says: 'Sometimes I lie, sometimes I tell truth' Sunil says: 'Vikram is a liar' Vikram says: 'Sunil is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Harsha claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Harsha is likely truth-teller.
- Neha claims 'Rohan is truth-teller'. Without knowing Rohan's type, this is ambiguous.
- Rohan admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Sunil and Vikram make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Rohan's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Rohan is the alternator.

Question 5

Neha says: 'I always tell the truth' Harsha says: 'Ravi is a truth-teller' Ravi says: 'Sometimes I lie, sometimes I tell truth' Sanjay says: 'Priya is a liar' Priya says: 'Sanjay is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Neha claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Neha is likely truth-teller.
- Harsha claims 'Ravi is truth-teller'. Without knowing Ravi's type, this is ambiguous.
- Ravi admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Sanjay and Priya make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Ravi's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Ravi is the alternator.

Question 6

Sanjay says: 'I always tell the truth' Manoj says: 'Neha is a truth-teller' Neha says: 'Sometimes I lie, sometimes I tell truth' Sunil says: 'Priya is a liar' Priya says: 'Sunil is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Sanjay claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Sanjay is likely truth-teller.
- Manoj claims 'Neha is truth-teller'. Without knowing Neha's type, this is ambiguous.
- Neha admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Sunil and Priya make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Neha's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Neha is the alternator.

Question 7

Kiran says: 'I always tell the truth' Deepa says: 'Divya is a truth-teller' Divya says: 'Sometimes I lie, sometimes I tell truth' Neha says: 'Meera is a liar' Meera says: 'Neha is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Kiran claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Kiran is likely truth-teller.
- Deepa claims 'Divya is truth-teller'. Without knowing Divya's type, this is ambiguous.
- Divya admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Neha and Meera make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Divya's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Divya is the alternator.

Question 8

Rahul says: 'I always tell the truth' Farhan says: 'Amit is a truth-teller' Amit says: 'Sometimes I lie, sometimes I tell truth' Kiran says: 'Manoj is a liar' Manoj says: 'Kiran is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Rahul claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Rahul is likely truth-teller.
- Farhan claims 'Amit is truth-teller'. Without knowing Amit's type, this is ambiguous.
- Amit admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Kiran and Manoj make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Amit's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Amit is the alternator.

Question 9

Rohan says: 'I always tell the truth' Gaurav says: 'Ravi is a truth-teller' Ravi says: 'Sometimes I lie, sometimes I tell truth' Divya says: 'Leena is a liar' Leena says: 'Divya is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Rohan claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Rohan is likely truth-teller.
- Gaurav claims 'Ravi is truth-teller'. Without knowing Ravi's type, this is ambiguous.
- Ravi admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Divya and Leena make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Ravi's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Ravi is the alternator.

Question 10

Vikram says: 'I always tell the truth' Ravi says: 'Priya is a truth-teller' Priya says: 'Sometimes I lie, sometimes I tell truth' Divya says: 'Rohan is a liar' Rohan says: 'Divya is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Vikram claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Vikram is likely truth-teller.
- Ravi claims 'Priya is truth-teller'. Without knowing Priya's type, this is ambiguous.
- Priya admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Divya and Rohan make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Priya's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Priya is the alternator.

Question 11

Vikram says: 'I always tell the truth' Meera says: 'Sanjay is a truth-teller' Sanjay says: 'Sometimes I lie, sometimes I tell truth' Gaurav says: 'Priya is a liar' Priya says: 'Gaurav is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Vikram claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Vikram is likely truth-teller.
- Meera claims 'Sanjay is truth-teller'. Without knowing Sanjay's type, this is ambiguous.
- Sanjay admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Gaurav and Priya make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Sanjay's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Sanjay is the alternator.

Question 12

Ravi says: 'I always tell the truth' Sanjay says: 'Rohan is a truth-teller' Rohan says: 'Sometimes I lie, sometimes I tell truth' Divya says: 'Meera is a liar' Meera says: 'Divya is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Ravi claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Ravi is likely truth-teller.
- Sanjay claims 'Rohan is truth-teller'. Without knowing Rohan's type, this is ambiguous.
- Rohan admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Divya and Meera make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Rohan's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Rohan is the alternator.

Question 13

Rahul says: 'I always tell the truth' Manoj says: 'Priya is a truth-teller' Priya says: 'Sometimes I lie, sometimes I tell truth' Deepa says: 'Vikram is a liar' Vikram says: 'Deepa is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Rahul claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Rahul is likely truth-teller.
- Manoj claims 'Priya is truth-teller'. Without knowing Priya's type, this is ambiguous.
- Priya admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Deepa and Vikram make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Priya's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Priya is the alternator.

Question 14

Manoj says: 'I always tell the truth' Farhan says: 'Rohan is a truth-teller' Rohan says: 'Sometimes I lie, sometimes I tell truth' Priya says: 'Divya is a liar' Divya says: 'Priya is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Manoj claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Manoj is likely truth-teller.
- Farhan claims 'Rohan is truth-teller'. Without knowing Rohan's type, this is ambiguous.
- Rohan admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Priya and Divya make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Rohan's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Rohan is the alternator.

Question 15

Meera says: 'I always tell the truth' Divya says: 'Sanjay is a truth-teller' Sanjay says: 'Sometimes I lie, sometimes I tell truth' Ravi says: 'Manoj is a liar' Manoj says: 'Ravi is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Meera claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Meera is likely truth-teller.
- Divya claims 'Sanjay is truth-teller'. Without knowing Sanjay's type, this is ambiguous.
- Sanjay admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Ravi and Manoj make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Sanjay's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Sanjay is the alternator.

Question 16

Sanjay says: 'I always tell the truth' Priya says: 'Pooja is a truth-teller' Pooja says: 'Sometimes I lie, sometimes I tell truth' Kiran says: 'Rahul is a liar' Rahul says: 'Kiran is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Sanjay claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Sanjay is likely truth-teller.
- Priya claims 'Pooja is truth-teller'. Without knowing Pooja's type, this is ambiguous.
- Pooja admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Kiran and Rahul make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Pooja's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Pooja is the alternator.

Question 17

Farhan says: 'I always tell the truth' Harsha says: 'Manoj is a truth-teller' Manoj says: 'Sometimes I lie, sometimes I tell truth' Priya says: 'Amit is a liar' Amit says: 'Priya is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Farhan claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Farhan is likely truth-teller.
- Harsha claims 'Manoj is truth-teller'. Without knowing Manoj's type, this is ambiguous.
- Manoj admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Priya and Amit make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Manoj's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Manoj is the alternator.

Question 18

Neha says: 'I always tell the truth' Leena says: 'Ravi is a truth-teller' Ravi says: 'Sometimes I lie, sometimes I tell truth' Kiran says: 'Priya is a liar' Priya says: 'Kiran is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Neha claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Neha is likely truth-teller.
- Leena claims 'Ravi is truth-teller'. Without knowing Ravi's type, this is ambiguous.
- Ravi admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Kiran and Priya make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Ravi's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Ravi is the alternator.

Question 19

Pooja says: 'I always tell the truth' Meera says: 'Neha is a truth-teller' Neha says: 'Sometimes I lie, sometimes I tell truth' Vikram says: 'Priya is a liar' Priya says: 'Vikram is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Pooja claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Pooja is likely truth-teller.
- Meera claims 'Neha is truth-teller'. Without knowing Neha's type, this is ambiguous.
- Neha admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Vikram and Priya make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Neha's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Neha is the alternator.

Question 20

Neha says: 'I always tell the truth' Pooja says: 'Manoj is a truth-teller' Manoj says: 'Sometimes I lie, sometimes I tell truth' Divya says: 'Farhan is a liar' Farhan says: 'Divya is a truth-teller' The group has truth-tellers, liars, and one alternator. Who is the alternator?
Identify types by their statements:

- Neha claims to always tell truth. A truth-teller can say this, a liar cannot (would be true statement). So Neha is likely truth-teller.
- Pooja claims 'Manoj is truth-teller'. Without knowing Manoj's type, this is ambiguous.
- Manoj admits to sometimes lying and sometimes telling truth - this is the hallmark of an alternator.
- Divya and Farhan make contradictory claims about each other, suggesting one is truth-teller, one liar.

The key is Manoj's self-description. A truth-teller cannot say 'sometimes I lie' (would be false). A liar cannot say 'sometimes I tell truth' (would be true, but liars always lie). Only an alternator can truthfully describe their alternating nature.

Therefore, Manoj is the alternator.
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