The word CODE is coded as 15161991 and STEP is coded as 18769122. Then SPOTE…

2023

The word CODE is coded as 15161991 and STEP is coded as 18769122. Then SPOTE is coded as

Answer: B. 1822167691ConceptIn a fixed substitution code, each letter keeps the same numeric block wherever it appears. To encode a new word, first recover each letter-to-block…

  1. A.

    1822761691

  2. B.

    1822167691

  3. C.

    1816227691

  4. D.

    More than one of the above

  5. E.

    None of the above

Attempted by 34 students.

Show answer & explanation

Correct answer: B

Concept

In a fixed substitution code, each letter keeps the same numeric block wherever it appears. To encode a new word, first recover each letter-to-block mapping from the examples, then concatenate the blocks in the new word’s order.

Application

Read the required mappings directly from CODE and STEP:

  1. From STEP, S maps to 18.

  2. From STEP, P maps to 22.

  3. From CODE, O maps to 16.

  4. From STEP, T maps to 76.

  5. The repeated letter E maps to 91 in both CODE and STEP.

Cross-check

Putting the recovered blocks in the order S–P–O–T–E gives 18 | 22 | 16 | 76 | 91. The E block agrees in both examples, confirming that the substitution is consistent.

Therefore, SPOTE is coded as 1822167691.

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