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If \(A = Z = 1, B = Y = 2, C = X = 3, \ldots\) etc.

Which one is wrong?

  • A.\(M = N\)
  • B.\(M + N = L + O + A + Z\)
  • C.\(A + B + C = X + Y + Z\)
  • D.\(E, G, J\) are prime numbers

Answer: D

With A = Z = 1, B = Y = 2 and so on, each letter takes the smaller of its place and its place from the end. M and N both have the value 13, so M = N is true, and M + N = 26 = L + O + A + Z = 12 + 12 + 1 + 1.

A + B + C = 6 = X + Y + Z is true. For E, G and J the values are 5, 7 and 10, and 10 is not prime, so the last statement is wrong, option D.

The code A to M gives the values 1 to 13 and N to Z the values 13 down to 1. So E, G and J have the values 5, 7 and 10, and of these only 5 and 7 are prime. Statement D is therefore wrong, and the three other statements are right.

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