If GOOD is coded as 164 and BAD is coded as 21, then if UGLY is coded as 260,…

2023

If GOOD is coded as 164 and BAD is coded as 21, then if UGLY is coded as 260, what is the code for JUMP?

  1. A.

    319

  2. B.

    240

  3. C.

    250

  4. D.

    158

Show answer & explanation

Correct answer: B

In alphabet-coding puzzles, a word's numeric code is generated by applying a fixed arithmetic rule to the alphabet positions of its letters (A=1, B=2, ... Z=26) — commonly the SUM of the positions combined with the WORD LENGTH. The same rule must correctly reproduce every given example before it is applied to the unknown word.

  1. Note the alphabet position of each letter: A=1, B=2, ... Z=26.

  2. Test GOOD: G=7, O=15, O=15, D=4; sum = 41; word length = 4; 41 x 4 = 164 — matches the given code.

  3. Test BAD: B=2, A=1, D=4; sum = 7; word length = 3; 7 x 3 = 21 — matches the given code.

  4. Test UGLY: U=21, G=7, L=12, Y=25; sum = 65; word length = 4; 65 x 4 = 260 — matches the given code.

  5. Rule confirmed: code = (sum of alphabet positions of the letters) x (number of letters in the word).

  6. Apply the rule to JUMP: J=10, U=21, M=13, P=16; sum = 60; word length = 4; 60 x 4 = 240.

Cross-check: dividing 240 by JUMP's word length (4) returns 60, which correctly equals the sum of J, U, M and P's alphabet positions (10+21+13+16) — confirming the result.

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