If we look as the coding being done, we could see that every letter has been replaced by the sum of digits of the number at which the word comes alphabetically.
Let us see for EXAMINATION
Alphabet
E
X
A
M
I
N
A
T
I
O
N
Position
5
24
1
13
9
14
1
20
9
15
14
Replacement
5
2 + 4 = 6
1
1 + 3 = 4
9
1 + 4 = 5
1
2 + 0 = 2
9
1 + 5 = 6
1 + 4 = 5
So code for GOVERNMENT will be,
Alphabet
G
O
V
E
R
N
M
E
N
T
Position
7
15
22
5
18
14
13
5
14
20
Replacement
7
1 + 5 = 6
2 + 2 = 4
5
1 + 8 = 9
1 + 4 = 5
1 + 3 = 4
5
1 + 4 = 5
2 + 0 = 2
Hence, the government will be coded as 7645954552.