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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?

  • A.4
  • B.5
  • C.6
  • D.7

Answer: C

The integer assigned to N is 6.

P is 4. T differs from P by 5, so T is 9 or −1; only 9 lies between 1 and 9, so T = 9.

N differs from T by 3, so N is 6 or 12. Only 6 is in range, so N = 6.

4 is already taken by P, so it cannot also belong to N. 5 and 7 differ from T = 9 by 4 and 2, not 3.

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