In a certain code, NEWYORK is written as 111, how is NEWJERSEY written in that…

2024

In a certain code, NEWYORK is written as 111, how is NEWJERSEY written in that code?

  1. A.

    200

  2. B.

    360

  3. C.

    150

  4. D.

    124

Show answer & explanation

Correct answer: D

Concept: In this alphabet-position coding pattern, every letter of a word is replaced by its position in the English alphabet (A = 1, B = 2, ... Z = 26). The code for the whole word is the SUM of the position values of all its letters, counting a repeated letter every time it appears.

Verifying the rule on NEWYORK:

  1. N = 14

  2. E = 5

  3. W = 23

  4. Y = 25

  5. O = 15

  6. R = 18

  7. K = 11

  8. Sum = 14 + 5 + 23 + 25 + 15 + 18 + 11 = 111, which matches the given code.

Applying the same rule to NEWJERSEY (N-E-W-J-E-R-S-E-Y):

  1. N = 14

  2. E = 5

  3. W = 23

  4. J = 10

  5. E = 5

  6. R = 18

  7. S = 19

  8. E = 5

  9. Y = 25

  10. Sum = 14 + 5 + 23 + 10 + 5 + 18 + 19 + 5 + 25 = 124

Cross-check: grouping the letters as NEW (14 + 5 + 23 = 42) and JERSEY (10 + 5 + 18 + 19 + 5 + 25 = 82) gives 42 + 82 = 124, the same total, and the count of nine added terms matches the nine letters of NEWJERSEY.

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