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If HIDE and CAGE are coded as 19-23-7-11 and 5-2-17-11 respectively, then what is the code for HIGH?

  • A.5-17-1-2
  • B.17-19-13-17
  • C.13-3-1-2
  • D.19-23-17-19

Answer: D

HIGH is coded as 19-23-17-19.

Each letter is replaced by the prime number at its alphabet position. C is the 3rd letter and the 3rd prime is 5; A gives the 1st prime 2; G the 7th prime 17; E the 5th prime 11. That reproduces 5-2-17-11 for CAGE, and HIDE gives the 8th, 9th, 4th and 5th primes, 19-23-7-11.

For HIGH: H is the 8th letter (19), I the 9th (23), G the 7th (17), H again 19. Of the other codes, 5-17-1-2 and 13-3-1-2 do not begin with H's code 19, and 17-19-13-17 uses the primes for G, H and F.

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