In a certain code, 15789 is written as AXBTC and 2346 is written as MPDU. How…

2025

In a certain code, 15789 is written as AXBTC and 2346 is written as MPDU. How is 23549 written in that code?

Answer: D. MPXDCSolution: Use the two given codes to deduce the digit-to-letter mapping. From 15789 = AXBTC we get: 1 → A, 5 → X, 7 → B, 8 → T, 9 → C. From 2346 = MPDU we…

  1. A.

    MPXDT

  2. B.

    MPADC

  3. C.

    MPXCD

  4. D.

    MPXDC

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Correct answer: D

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Solution:

Use the two given codes to deduce the digit-to-letter mapping.

  • From 15789 = AXBTC we get: 1 → A, 5 → X, 7 → B, 8 → T, 9 → C.

  • From 2346 = MPDU we get: 2 → M, 3 → P, 4 → D, 6 → U.

Now encode 23549 by replacing each digit with its mapped letter: 2 → M, 3 → P, 5 → X, 4 → D, 9 → C, giving

MPXDC

Answer: MPXDC

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