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प्रश्न
Select the correct alternative from the given choices.
Each of the three persons - Ramu, Raman, and Rajan-belonged to exactly one of the different cities amongst Delhi, Mumbai and Chennai. Each person always gives two replies to any question asked. Out of these three, exactly one person always speaks the truth, another always lies and the other always alternates between truth and lie, in any order. When each was asked "Which city do you belong to?", the following were their replies:
Ramu: I am from Delhi. Raman is from Mumbai.
Raman: I am from Delhi. Rajan is from Chennai.
Rajan: Ramu is from Mumbai. Raman is from Delhi.
Based on the above, answer the following questions.
If there are exactly two persons who always tell the truth, and the third person either always lies or alternates between truth and lie, then which of the following statements must be false?
पर्याय
Rajan is not from Mumbai
Ramu is not from Delhi.
Rajan is not from Chennai
Raman is from Delhi
उत्तर
(i) Assuming Ramu always speaks the truth:
| I | II | City | |
| Ramu | T | T | Delhi |
| Raman | F | T | Mumbai |
| Rajan | F | F | Chennai |
This arrangement works out for answering the first two questions.
(ii) Assuming Raman always speaks the truth:
| I | II | City | |
| Ramu | F | F | Delhi |
| Raman | T | T | Mumbai |
| Rajan | T | T | Chennai |
(iii) Assuming Rajan always speaks the truth:
| I | II | City | |
| Ramu | F | F | Delhi |
| Raman | T | T | Mumbai |
| Rajan | T | T | Chennai |
Arrangement (ii) and (iii) help in answering the third question.
Rajan is not from Chennai is false.
