UPSC Prelims 2014·CSAT·Logical Reasoning·Coding Decoding

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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Last updated 23 May 2026, 3:31 pm IST
  1. A7
  2. B5
  3. C4
  4. D6Correct

Explanation

Here's a brief explanation: 1. From the first statement, "4 is assigned to P", we know P = 4. 2. From the second statement, "The difference between P and T is 5", we have |P - T| = 5. Substitute P = 4: |4 - T| = 5. This means either (4 - T) = 5 or (4 - T) = -5. If 4 - T = 5, then T = 4 - 5 = -1 (Not possible, as integers are 1 to 9). If 4 - T = -5, then T = 4 + 5 = 9 (Possible). So, T = 9. 3. From the third statement, "The difference between N and T is 3", we have |N - T| = 3. Substitute T = 9: |N - 9| = 3. This means either (N - 9) = 3 or (N - 9) = -3. If N - 9 = 3, then N = 9 + 3 = 12 (Not possible, as integers are 1 to 9). If N - 9 = -3, then N = 9 - 3 = 6 (Possible). So, N = 6. Therefore, the integer assigned to N is 6. The final answer is D) 6.
Logical Reasoning: 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 orde
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