To solve this coding problem, we need to identify the pattern used to code 'BREAK' as 'YIVZP'.

Identifying the Coding Pattern

Let's compare the positions of the letters in the alphabet:

• B is the 2^nd letter. Y is the 25^th letter.
• R is the 18^th letter. I is the 9^th letter.
• E is the 5^th letter. V is the 22^nd letter.
• A is the 1^st letter. Z is the 26^th letter.
• K is the 11^th letter. P is the 16^th letter.

Observe the sum of the positions for each pair:

• B (2) + Y (25) = 27
• R (18) + I (9) = 27
• E (5) + V (22) = 27
• A (1) + Z (26) = 27
• K (11) + P (16) = 27

The pattern is that each letter is replaced by the letter whose position in the alphabet is 27 minus the original letter's position. This is known as the reverse alphabet cipher.

Applying the Pattern to MANGO

We apply the same reverse alphabet pattern to the word 'MANGO':

• M: Position is 13. The coded letter's position is $27 - 13 = 14$. The 14^th letter is N.
• A: Position is 1. The coded letter's position is $27 - 1 = 26$. The 26^th letter is Z.
• N: Position is 14. The coded letter's position is $27 - 14 = 13$. The 13^th letter is M.
• G: Position is 7. The coded letter's position is $27 - 7 = 20$. The 20^th letter is T.
• O: Position is 15. The coded letter's position is $27 - 15 = 12$. The 12^th letter is L.

Final Coded Word

Combining the coded letters, 'MANGO' is coded as 'NZMTL'.