Solution:The logic followed here is:
Break the letter in group of 3-1-3 letters and arrange them in the alphabetical order and then code vowels as per their alphabetical position and consonants as per their double alphabetical position.
PRIVATE becomes PRI-V-ATE, after the arrangement IPR-V-AET.
Coding it gives 9 - 32 - 36 - 44 - 1 - 5 - 40.
SHORTEN becomes SHO-R-TEN, after the arrangement HOS-R-ENT.
Coding it gives 16 - 15 - 38 - 36 - 5 - 28 - 40.
Similarly,
REFUSAL becomes REF-U-SAL, after the arrangement EFR-U-ALS.
Coding it gives 5 - 12 - 36 - 21 - 1 - 24 - 38.