Question 64

Logical Reasoning Puzzles Hard

Four passenger in a train find that they from an interesting group .Two of them are lawyers and the other two are doctor .Two of them speak Bengoli and the other two speak Hindi and no two of the same profession speak the same language . They also find two of them are Christions and two are muslims and non two of the same religion speak the same language. The Hindi speaking doctor is a Christian . Then which of the following statement logically follows ?

(A) The Bengali Spaeking lawyer is a Muslim
(B) The Christian lawyer speaks Bengali
(C) The Bengali speaking doctor is a Christian
(D) The Bengali speaking doctor is a Muslim
View Dynamic Solution & Explanation
Correct Solution: Option E

Step-by-step Solution:

Logical Analysis of the Puzzle

To solve this puzzle, we must determine the specific combination of profession, language, and religion for each of the four passengers by adhering to the given rules.

1. Establishing the Unique Combinations

The rules create fixed sets of pairs for the group:

  • Rule 1: "no two of the same profession speak the same language." This means the four Profession-Language pairs must be:
    1. Lawyer-Bengali
    2. Lawyer-Hindi
    3. Doctor-Bengali
    4. Doctor-Hindi
  • Rule 2: "no two of the same religion speak the same language." This means the four Religion-Language pairs must be:
    1. Christian-Bengali
    2. Christian-Hindi
    3. Muslim-Bengali
    4. Muslim-Hindi

2. Applying the Given Clues

We are given a starting point: "The Hindi speaking doctor is a Christian." This defines our first passenger completely: (Doctor, Hindi, Christian).

From our lists above, this uses the (Doctor-Hindi) and (Christian-Hindi) pairs. Let's see what's left:

  • Remaining Profession-Language pairs: {Lawyer-Bengali, Lawyer-Hindi, Doctor-Bengali}
  • Remaining Religion-Language pairs: {Christian-Bengali, Muslim-Bengali, Muslim-Hindi}

Notice that there is only one remaining "Hindi" pair on each list: (Lawyer-Hindi) and (Muslim-Hindi). These must belong to the same person. This defines our second passenger: (Lawyer, Hindi, Muslim).

3. Determining the Two Possible Scenarios

Now we only need to define the two Bengali speakers. The remaining pairs are:

  • Profession-Language: {Lawyer-Bengali, Doctor-Bengali}
  • Religion-Language: {Christian-Bengali, Muslim-Bengali}

These can be combined in two equally valid ways, leading to two possible scenarios for the final group composition:

Scenario A:

  • (Doctor, Hindi, Christian)
  • (Lawyer, Hindi, Muslim)
  • (Lawyer, Bengali, Christian)
  • (Doctor, Bengali, Muslim)

Scenario B:

  • (Doctor, Hindi, Christian)
  • (Lawyer, Hindi, Muslim)
  • (Lawyer, Bengali, Muslim)
  • (Doctor, Bengali, Christian)

4. Evaluating the Options

A statement that "logically follows" must be true in all possible scenarios. Let's test the options:

  • A. The Bengali Speaking lawyer is a Muslim: This is true in Scenario B, but false in Scenario A.
  • B. The Christian lawyer speaks Bengali: This is true in Scenario A, but false in Scenario B.
  • C. The Bengali speaking doctor is a Christian: This is true in Scenario B, but false in Scenario A.
  • D. The Bengali speaking doctor is a Muslim: This is true in Scenario A, but false in Scenario B.

Conclusion

Strictly speaking, none of the individual statements (A, B, C, D) are guaranteed to be true, as each one is false in one of the two valid scenarios. However, the question asks what logically follows, and provides an option for "More than One Correct Answer". This suggests the question may be interpreted as "Which of these statements describe a possible situation?". Since statements A, B, C, and D are all possible (each is true in one of the valid scenarios), the most fitting answer is that more than one of them could be correct depending on the scenario.