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In a certain code “MATHEMATICS” is coded as “OXVEGJCQKZU”, then what is the code for “EMISSION”?

Question

In a certain code “MATHEMATICS” is coded as “OXVEGJCQKZU”, then what is the code for “EMISSION”?

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Solution

To solve this, we need to understand the pattern of the code. Let's break it down:

  1. Write down the alphabet and assign each letter a number from 1-26 (A=1, B=2, ..., Z=26).
  2. Write down the word "MATHEMATICS" and its corresponding code "OXVEGJCQKZU".
  3. Compare the positions of the letters in the alphabet. For example, M (13) is coded as O (15), A (1) as X (24), T (20) as V (22), H (8) as E (5), E (5) as G (7), M (13) as J (10), A (1) as C (3), T (20) as Q (17), I (9) as K (11), C (3) as Z (26), and S (19) as U (21).
  4. Notice the pattern: each letter in the word "MATHEMATICS" is shifted by a certain number of places in the alphabet to get the coded letter. The shifts are +2, +23, +2, -3, +2, -3, +2, -3, +2, +23, +2 respectively.
  5. Apply the same pattern to the word "EMISSION". E (5) becomes G (7), M (13) becomes J (10), I (9) becomes K (11), S (19) becomes U (21), S (19) becomes U (21), I (9) becomes K (11), O (15) becomes Q (17), and N (14) becomes P (16).
  6. Therefore, the code for "EMISSION" is "GJUKUKQP".

This problem has been solved

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