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If 8 1 3 5 6 7 2 4 9 0 is written as α β γ δ π θ φ Ψ ρ σ, then what is the value of γρθσ + Ψφγα ?

  • A.αφθα
  • B.πρσα
  • C.πσρα
  • D.αφσα

Answer: D

The value is αφσα.

Match the digits to the letters in order: 8 = α, 1 = β, 3 = γ, 5 = δ, 6 = π, 7 = θ, 2 = φ, 4 = Ψ, 9 = ρ, 0 = σ.

So γρθσ = 3970 and Ψφγα = 4238, and 3970 + 4238 = 8208. Converting back, 8 = α, 2 = φ, 0 = σ, 8 = α, giving αφσα.

αφθα would be 8278, and πρσα and πσρα would be 6908 and 6098, none of which is the sum.

In coding questions of this kind, always rebuild the full table first; working directly with the letters makes it easy to mis-assign a digit such as 0 or 9.

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