The letters L, M, N, O, P, Q, R, S and T in their order are substituted by nine integers 1 to 9 but not in that order, 4 is assigned to P. The difference between P and T is 5. The difference between N and T is 3. What is the integer assigned to N?

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Q: 132 (IAS/1994)
The letters L, M, N, O, P, Q, R, S and T in their order are substituted by nine integers 1 to 9 but not in that order, 4 is assigned to P. The difference between P and T is 5. The difference between N and T is
3. What is the integer assigned to N?

question_subject: 

Logic/Reasoning

question_exam: 

IAS

stats: 

0,37,22,10,5,7,37

keywords: 

{'integer': [0, 1, 0, 0], 'integers': [0, 1, 0, 0], 'order': [6, 12, 34, 35], 'difference': [1, 3, 4, 8]}

As per the question, the number assigned to P is mentioned as 4. The difference between the numbers assigned to P and T is provided as 5. So the number assigned to T must be either 9 (if T is greater than P) or -1 (if T is smaller than P), however, -1 is not a valid assignment as the substituted integers are only between 1 and 9. Therefore, T must be assigned the number 9.

Furthermore, it is mentioned that the difference between N and T is 3. This implies that N should be either 12 or 6. However, since the substituted integers are between 1 to 9, N cannot be 12. Thus, the integer assigned to N should be 6 and not 4 as mentioned in the correct answer.

Alert - correct answer should be 6.