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Question

In a certain code language, 'ROAD' is coded as '8657' and 'DEAR' is coded as '4567'. What is the code for 'E' in the given code language?

The correct answer is
4

Decoding Letter Codes: Finding 'E'

This problem requires finding the specific code for the letter 'E' using a provided letter-to-number code system. We can solve this by comparing the two given coded words.

  • Given: 'ROAD' is coded as '8657'.
  • Given: 'DEAR' is coded as '4567'.

Comparing Coded Words

We compare the letters present in each word and the digits in their respective codes:

  • Word: ROAD
    Letters: {R, O, A, D}
    Code Digits: {8, 6, 5, 7}
  • Word: DEAR
    Letters: {D, E, A, R}
    Code Digits: {4, 5, 6, 7}

Identifying Unique Codes

By observing the differences and similarities:

  • The letter 'O' is unique to 'ROAD' among the two words. The digit '8' is unique to the code '8657'. This implies O = 8.
  • The letter 'E' is unique to 'DEAR' among the two words. The digit '4' is unique to the code '4567'. This implies E = 4.

The common letters {R, A, D} map to the common digits {5, 6, 7}, which supports the unique assignments.

Code for 'E'

Based on the direct comparison and identification of unique elements, the code for the letter 'E' is 4.

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Important Questions from Coding decoding

  1. In a certain code language, ‘watch is disturb’ is written as ‘xr pa qn’ and ‘don’t watch him’ is written as ‘tu bg pa’. How is ‘watch’ written in the given language?

  2. In a certain code language, ‘call on him’ is coded as ‘ol ni vc’ and ‘awaiting your call’ is coded as ‘ni dx sb’. How is ‘call’ coded in that language?

  3. In a certain code language, 'talk to me' is coded as 'aq yt bl' and 'do not talk' is coded as 'yt me wc'. What is the code for 'talk' in that language?

  4. In a certain code language, 'can we play' is coded as 'ae tc nx' and 'play in school' is coded as 'tc rm ef'. How is 'play' coded in that language?

  5. In a certain code language, 'BOOK' is written as 'ZNNI' and 'SHOP' is written as 'QFNN'. How will 'NOTES' be written in that language?

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