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”?
Solution
To solve this, we need to understand the pattern of the code. Let's break it down:
- Write down the alphabet and assign each letter a number from 1-26 (A=1, B=2, ..., Z=26).
- Write down the word "MATHEMATICS" and its corresponding code "OXVEGJCQKZU".
- 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).
- 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.
- 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).
- Therefore, the code for "EMISSION" is "GJUKUKQP".
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